How much does it cost to buy 9 grape lollipops that cost $0.07 apiece
Sorry for the questions but these are for my grade

Answers

Answer 1

Answer:

$0.63

Step-by-step explanation:

If one grape lollipop costs $0.07, then to find how much it would cost for nine grape lollipops you need to multiply 0.07 x 9 = 0.63.

Answer 2

Answer:

$0.63

Step-by-step explanation:

so If one grape lollipop costs $0.07, then to find how much it would cost for nine grape lollipops you need to multiply 0.07 x 9 = 0.63.


Related Questions

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 24 feet and a height of 15 feet. Container B has a diameter of 18 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.

To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?

Answers

To calculate the percent of Container A that is empty after the pumping is complete, we need to calculate the volume of water in Container B and compare it to the volume of Container A.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base, and h is the height.

Container A:

Diameter = 24 feet

Radius = Diameter / 2 = 24 / 2 = 12 feet

Height = 15 feet

Container B:

Diameter = 18 feet

Radius = Diameter / 2 = 18 / 2 = 9 feet

Height = 19 feet

Now let's calculate the volumes:

Volume of Container A = π * (12^2) * 15 ≈ 6785.4 cubic feet

Volume of Container B = π * (9^2) * 19 ≈ 4848.5 cubic feet

To find the percent of Container A that is empty, we can calculate the ratio of the empty space to the total volume:

Empty space in Container A = Volume of Container A - Volume of Container B

= 6785.4 - 4848.5

= 1936.9 cubic feet

Percent of Container A that is empty = (Empty space / Volume of Container A) * 100

= (1936.9 / 6785.4) * 100

≈ 28.5%

Therefore, to the nearest tenth, approximately 28.5% of Container A is empty after the pumping is complete.[tex][/tex]

Question 12 (1 point)
Which pair of angles represent corresponding angles?
O a
b
2
56
1
C
Od

1
4
3
7 8
21 and 23
24 and 25
26 and 27
23 and 28
m
k

Answers

The corresponding angles for this problem are given as follows:

a. <1 and <3.

What are corresponding angles?

When two parallel lines are cut by a transversal, corresponding angles are pairs of angles that are in the same position relative to the two parallel lines and the transversal.

The lines for this problem are given as follows:

l and m are parallel.k is the transversal line.

Hence the corresponding angles for this problem are given as follows:

a. <1 and <3.

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Help please I have to answer these questions using the graph.

Answers

The concentration of the drug after 8 hours is equal to 24 mg/L.

The interval over which the concentration increases is 0 < t < 2.

The interval over which the concentration decreases is 2 < t < ∞.

The drug is at its maximum concentration when t = 2 hours and the maximum concentration is 64 mg/L.

After the drug reaches its maximum concentration, the number of hours that are required for the concentration to decrease to 16 mg/L is 8 hours.

After 1 week and 1 month, we can predict that the concentration of the drug kept decreasing after reaching 20 hours.

What is a decreasing function?

For any given function, y = f(x), if the output value (range or y-value) is decreasing when the input value is increased, then, the function is generally referred to as a decreasing function.

By critically observing the graph of the given function, we can reasonably infer and logically deduce the following:

The function is increasing over the interval [0, 2] or 0 < t < 2.

The function is decreasing over the interval [2, ∞] or 2 < t < ∞.

In conclusion, the vertex (2, 64) of the graph represent the point where the drug is at its maximum concentration, which is time (t) = 2 hours and the maximum concentration is y = 64 mg/L.

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Question 2 Part A (4 points): Given the information below. What is the total length of sides 1 and 2 of the triangle? Show all work! A Instructions K Side 1: 3x² - 4x - 1 Tt Side 2: 4x - x² +5 रु ते Submit​

Answers

Answer: the total length of sides 1 and 2 of the triangle is 2x² + 4.

Step-by-step explanation:

To find the total length of sides 1 and 2 of the triangle, we need to add the lengths of the two sides together.

Given:

Side 1: 3x² - 4x - 1

Side 2: 4x - x² + 5

To find the total length, we add the lengths of Side 1 and Side 2:

Total length = Side 1 + Side 2

Total length = (3x² - 4x - 1) + (4x - x² + 5)

We can combine like terms:

Total length = 3x² - 4x - 1 + 4x - x² + 5

Combining like terms gives:

Total length = (3x² - x²) + (-4x + 4x) + (-1 + 5)

Simplifying further:

Total length = 2x² + 4

Therefore, the total length of sides 1 and 2 of the triangle is 2x² + 4.

Please help hurry my school is almost done

Answers

Answer:

second option

Step-by-step explanation:

n= 9 + 3 1/5

Find the vertices of number 11 and 15

Answers

11. The vertices are: Vertex 1: (3/2, 0), Vertex 2: (-3/2, 0), Vertex 3: (0, 1/9), and Vertex 4: (0, -1/9).

15. The vertices are: Vertex 1: (1/4, 0), Vertex 2: (-1/4, 0), Vertex 3: (0, 1/8), and Vertex 4: (0, -1/8).

How did we get these values?

To find the vertices of the given equations, rewrite each equation in the standard form of an ellipse, which is

(x - h)²/a² + (y - k)²/b² = 1,

where (h, k) represents the center of the ellipse, "a" represents the distance from the center to the horizontal vertices, and "b" represents the distance from the center to the vertical vertices.

Let's find the vertices for each equation:

11. (4/9) x x² + 81 x y² = 1

To rewrite this equation in the standard form, we need to divide both sides of the equation by 1:

(4/9) x x² + 81 x y² = 1

Dividing through by 1:

(x²)/(9/4) + (y²)/(1/81) = 1

This equation can be rewritten as:

(x²)/(3/2)² + (y²)/(1/9)² = 1

Comparing this with the standard form:

Center: (0, 0)

a = 3/2 (distance from center to horizontal vertices)

b = 1/9 (distance from center to vertical vertices)

Therefore, the vertices are:

Vertex 1: (3/2, 0)

Vertex 2: (-3/2, 0)

Vertex 3: (0, 1/9)

Vertex 4: (0, -1/9)

15. 8 x x² + 16 x y² = 32

To rewrite this equation in the standard form, we need to divide both sides of the equation by 32:

(8/32) x x² + (16/32) x y² = 1/32

Simplifying, we have:

(x²)/(4/32) + (y²)/(2/32) = 1/32

This equation can be rewritten as:

(x²)/(1/4)² + (y²)/(1/8)² = 1

Comparing this with the standard form, we have:

Center: (0, 0)

a = 1/4 (distance from center to horizontal vertices)

b = 1/8 (distance from center to vertical vertices)

Therefore, the vertices are:

Vertex 1: (1/4, 0)

Vertex 2: (-1/4, 0)

Vertex 3: (0, 1/8)

Vertex 4: (0, -1/8)

Summarily,

11. Vertices:

Vertex 1: (3/2, 0)

Vertex 2: (-3/2, 0)

Vertex 3: (0, 1/9)

Vertex 4: (0, -1/9)

15. Vertex 1: (1/4, 0)

Vertex 2: (-1/4, 0)

Vertex 3: (0, 1/8)

Vertex 4: (0, -1/8)

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..A game is played by rolling a single, six-sided die.
If the result of the roll is a 3, the player wins.
If the result of the roll is not a 3, the player loses $11.
In order for this to be a fair game, when the player wins, how much should
they win?

Answers

To find out how much the player should win when they roll a 3, we need to calculate the expected value of the game. The expected value tells us how much the player can expect to win or lose on average over many rolls of the die.

The probability of rolling a 3 on a single, six-sided die is 1/6. The probability of not rolling a 3 is 5/6. So the expected value of the game is:

E = (1/6) * x + (5/6) * (-11)

where x is the amount the player wins when they roll a 3. We want the expected value to be 0, since we want the game to be fair. So we can solve for x:

0 = (1/6) * x + (5/6) * (-11)
0 = (1/6) * x - 55/6
55/6 = (1/6) * x
x = 55

So the player should win $55 when they roll a 3 in order for the game to be fair.

Debra has two coupons for a jacket.
Coupon A: 30% off of a $36 jacket
Coupon B: $14 rebate on a $36 jacket
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.


Coupon A gives the lower price.
The price with coupon A is $ less than the price with coupon B.

Coupon B gives the lower price.
The price with coupon B is $ less than the price with coupon A.

Answers

The price with coupon B is $25.20 less than the price with coupon A.

To determine which coupon gives the lower price, let's calculate the prices with each coupon.

Coupon A: 30% off of a $36 jacket:

Discounted price = $36 - 30% of $36

Discounted price = $36 - (0.30 × $36)

Discounted price = $36 - $10.80

Discounted price = $25.20

Coupon B: $14 rebate on a $36 jacket:

Discounted price = $36 - $14

Discounted price = $22

Comparing the prices, we can see that Coupon B gives the lower price of $22.

The price with coupon B is $25.20 less than the price with coupon A.

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I need help with this math question asap!

Answers

Answer:527

Step-by-step explanation:

Answer:527

Explanation:multiply the numbers.

Find the perimeter of a rectangle in simplest expression form that has an area of 6x2 +17x + 12 square feet. Be sure to include an explanation of why/how we factor the numbers.

Answers

To find the perimeter of a rectangle, we first need to factor the area expression to find the length and width. The given area is 6x^2 + 17x + 12. Let's factor this quadratic expression:

6x^2 + 17x + 12 can be factored as (2x + 3)(3x + 4), since (2x * 3x) = 6x^2, (2x * 4) + (3 * 3x) = 17x, and (3 * 4) = 12.

Now, we have the length and width of the rectangle: (2x + 3) and (3x + 4).

The perimeter of a rectangle is given by the formula P = 2L + 2W. Substitute the expressions for length and width:

P = 2(2x + 3) + 2(3x + 4)

Now, distribute the 2:

P = 4x + 6 + 6x + 8

Combine like terms:

P = 10x + 14

So, the perimeter of the rectangle is 10x + 14 feet in simplest expression form.

Help please I need to answer the questions a. b. c. d. e.
I would appreciate it.

Answers

The solution to all 5 parts is shown below.

a. To find when the concentration will be 0.5 mg/L, we need to solve the equation:

c(t) = 0.5

20t/ (t²+4) = 0.5

20t = 0.5(t²+4)

20t = 0.5t² + 2

0.5t² - 20t + 2 = 0

Using the quadratic formula, we get:

t = (20 ± √(20²- 4(0.5)(2)))/(2(0.5))

t = (20 ± √(396))/1

t = 10 ± 6√11

So, the concentration will be 0.5 mg/L at t ≈ 0.49 hours and t ≈ 19.51 hours.

b. Using the given function, we can complete the table as follows:

t c(t)

0 0

2 2.35

4 3.64

6 3.16

8 2.22

10 1.53

12 1.08

14 0.76

16 0.53

18 0.37

20 0.26

c. A reasonable domain for this function is all positive real numbers, since the concentration can be measured at any time after administration. The only restriction is that t cannot be 0, since division by 0 is undefined in the given function.

d. To maintain a concentration above 1 mg/L and below 8 mg/L, we need to find the time interval during which the concentration remains within this range.

From the table in part (b), we can see that this interval is between t = 6 hours and t = 14 hours. So, the patient must receive the next intravenous dose of the drug before the concentration drops below 1 mg/L at t = 14 hours.

e. To compare the concentration of the oral drug (#1) and the intravenous drug (#2) over the first 20 hours after administration, we can plot the graphs of the two functions on the same axes.

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I am stumped >:( ahhhhhhh

Answers

Answer:

[tex]\frac{1}{32} yards^{3}[/tex]

Step-by-step explanation:

[tex]V=w*h*l[/tex]

[tex]V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}[/tex]

=

[tex]\frac{1}{32} yards^{3}\\[/tex]

Hope this helps!

How 4 4 4 4 =10 you can use+ - ÷×

Answers

Answer: (√ 4+√ 4+√4) +4

Step-by-step explanation:

Firstly, do the sq roots in parentheses,

which would equal: (2+2+2) +4

then add the 2's together

which is 6

add 4 = 10

I hope this helped!

Bill wants to earn extra money selling lemonade in front of his house.
It costs $1.20 to start his business and each glass of lemonade costs $0.06 to make. He plans to sell the lemonade for $0.10 a glass.
a) Write an equation that represents his cost.
b) Write an equation that represents his revenue.
Graph both equations on the same set of axes.
d) What does the point of intersection mean in this case?
e) Does Bill make a profit or lose money for
i) 20 glasses sold? in) 35 glasses sold? ili) 50 glasses sold?

Answers

The amount to start the business, the cost to make a lemonade, and the amount Bill intends to sell a glass of lemonade indicates the costs and revenues are;

a) Cost = 1.20 + 0.06·x

b) Revenue = 0.10·x

c) Please find attached the required graph created with MS Excel

d) The point of intersection is the break even point of the business

e) i) Loses money

ii) Makes money

iii) Makes money

What is a revenue?

A revenue is the sum of the amount received by a business for the goods and or services sold within a period.

The cost to start the business = $1.20

The cost of each glass of lemonade = $0.06

The amount he plans to sell a glass of lemonade = $0.10

a) The cost of the lemonade is; C = 1.20 + 0.06 × x

b) The revenue from the sale of the lemonade is R = n × 0.10

c) Please find attached the graph of both equations on the same axis, creates with MS Excel

d) The point of intersection, (30, 3), means that the cost and revenue are the same after selling 30 glasses of the lemonade, which is the breakeven point.

e) The graph and the function indicates that Bill makes 20 × $0.1 = $2 from the sale of 20 lemonade

The cost of 20 lemonade = $1.2 + 20 × $0.06 = $2.4

The cost is more than the revenue, therefore, Bill loses money

ii) 35 glasses sold indicates;

Revenue = 35 × 0.1 = 3.5

Cost = 1.2 + 35 × 0.06 = 3.3

The revenue is more than the cost and therefore, Bill makes a profit

iii) 50 glasses

Revenue = 50 × 0.1 = 5

Cost = 1.2 + 50 × 0.06 = 4.2

Bill makes money

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find the equation of the e potential function represented by the table below:

(i’ll give brainlist !!)

Answers

The equation of the exponential potential function represented by the table is,

⇒ y = 4 (3ˣ)

We have to given that;

Table is,

x     y

0     4

1      12

2     36

3     108

Let the equation of the exponential potential function represented by the table is,

y = a (bˣ)

Put x = 0, y = 4;

4 = a (b⁰)

a = 4

Put x = 1, y = 12

12 = a (b¹)

12 = 4b

b = 3

Thus, equation of the exponential potential function represented by the table is,

⇒ y = 4 (3ˣ)

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How many two or three-digit numbers can you make using the digits 1, 7, 8, 5, and 2?

Answers

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

What is a sample?

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Over which part of the domain does the graph represent a cubic function?

Answers

The graph attached represents a cubic function at

x < -2

What are cubic functions?

Cubic functions are a type of polynomial function that has a degree of 3, meaning the highest power of the variable is 3.

The general form of a cubic function is:

f(x) = ax³ + bx² + cx + d

where a, b, c, and d are coefficients and x is the variable

At point x = -2 the graph has an open circle hence -2 would not be part of the equation, this makes x ≤ -2 an incorrect option.

From x < -2 in the graph, represents the graph of a cubic function

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Can someone help me with 6-11. Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.

Answers

Answer:

please see answers below

Step-by-step explanation:

Area of circle = π r ²

Circumference = π X D (D = diameter = 2 X radius)

Volume of sphere = (4/3) X π X r ³

Volume of prism = area of cross-section X length

Volume of cylinder (questions 6 and 7 are cylinders) = π r ² h

In a right-angled triangle, a ² + b ² = c ²

6) π (16) ² X 14 = 11259.47 in³

7) Diameter² = 40² - 32²

Diameter = √(40² - 32²) = 24. Radius = 12.

Volume = π (12)² X 32 = 14476.46 mm³

8) volume = 8 X 12 X 39 = 3744 ft³

9) cross-section (triangle) = 1/2 X 5.4 X 11 = 29.7

Volume = 29.7 X 16 = 473.6mm³

10) radius = 33/2 = 16.5

volume = (4/3) π (16.5)³ = 18816.57cm³

11) volume = (4/3) π (2.8)³ = 91.95m³

-8x - 4y = 4
-5x - y = -11

Answers

Hello!

[tex]\sf -5x - y = -11\\\\\boxed{\sf y = 11 - 5x}[/tex]

so:

[tex]\sf -8x - 4(11-5x) = 4\\\\-8x - 44 + 20x = 4\\\\12x - 44 = 4\\\\12x = 4 + 44\\\\12x = 48\\\\\\x = \dfrac{48}{12} \\\\\Large\boxed{\textbf{x = 4}}[/tex]

so:

[tex]\sf y = 11 - 5x\\\\y = 11 - 5*4\\\\y = 11 - 20\\\\\Large\boxed{ \textbf{y = -9}}[/tex]

Did you guys know which one is and what is the x y ?

Answers

When the matrix of linear system is reduced to its  row-echelon form we discover that

1. This matrix has one solution.
2. The solution is x = -2, y = -5, z = 3. Since there are no free variables in this system, it's not possible to express the solution in terms of z as a parameter

How do we solve the linear system  to solve for the variable x, y, z?

To help us solve for the linear system and express the solution in terms of z, we need to use Gaussian elimination to row-reduce the given augmented matrix to its row-echelon form

For the matrix -2 6 -7 -47

                        2 -7 -3 22

                        6 -4 -6 -10

   -1/2 × R₁                                    1/2 × R₂

1   −3   7/2   47/2                    1    −3    7/2   47/2

2  −7   −3      22                     1   −7/2  −3/2   11

6  −4   −6    −10                      6   −4    −6    −10  

   1/6 × R₃                               R₂ - 1 × R₁  

1    −3    7/2   47/2              1    −3    7/2   47/2

1   −7/2  −3/2    11                0   -1/2   -5    -25/2

1   −2/3    −1   −5/3              1   −2/3    −1   −5/3

R₃  - 1 × R₁                                     -2 × R₂

1    −3    7/2   47/2                     1    −3    7/2   47/2

0   -1/2   -5    -25/2                    0    1     10     25

0    7/3   -9/2  -151/6                  0   7/3  -9/2  -151/6

3/7 × R₃                                            R₃ - 1 × R₂      

1    −3    7/2   47/2                       1    −3    7/2   47/2

0    1     10      25                          0    1     10      25

0     1  -27/14  -151/14                   0     0  -167/14  -501/14

  -167/14 × R₃                            R₂ - 10×R₃

1    −3    7/2   47/2                     1    −3    7/2   47/2

0    1      10    25                         0    1      0    -5

0     0      1     3                           0     0      1     3

R₁ - 7/2 × R₃                            R₁ + 3 × R₂

1    −3    0   13                      1    0   0   -2

0    1      0   -5                      0    1    0   -5

0     0      1     3                     0   0    1     3

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Use the quadratic formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a, to solve the equation 2x2 + 10x − 6 = 0. Round to the nearest hundredths place.

x = −5.54 and x = 0.54
x = −0.54 and x = 5.54
x = −4.30 and x = −0.70
x = −22.17 and x = 2.17

Answers

Using the quadratic formula we can see that the correct option is the first one:

x = −5.54 and x = 0.54

How to find the solution of the quadratic equation?

Here we want to solve the quadratic equation:

2x² + 10x - 6 = 0

To solve it, we need to use the quadratic formula, the solutions for x will be:

[tex]x = \frac{-10 \pm \sqrt{10^2 - 4*2*-6} }{2*2} \\\\x = \frac{-10 \pm 12.2}{4}[/tex]

then the two solutions of the quadratic equations are:

x = (-10 + 12.2)/4 = 0.55

x = (-10 - 12.2)/4 = -5.55

Then the correct option (by approximation) is the first one, where the difference in the last digit is due to rounding.

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Jack is in the 25% tax bracket. If he makes a tax differ deposit of $2500, how much will he save in taxes?

Answers

the assumption being that he'll be deferring taxes on $2500 bucks, so is saving is that Da Tax Man is not going to bite him by 25% of that much.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 2500}}{\left( \cfrac{25}{100} \right)2500}\implies \text{\LARGE 625}[/tex]

Drag the phrase that completes the sentence to the box.

|-2| is the (blank) on the number line.

1. sum of -2 and 2
2. sum of -2 and 0
3.distance between -2 and 2
4.distance between-2 and 0

Answers

Answer:

3 or 4, im not 100% sure which one

Step-by-step explanation:

ABC is similar to DEF

The measure of line segment DE is ......

Round to the nearest tenth.

Answers

Answer:

DE ≈ 3.9 cm

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{DE}{AB}[/tex] = [tex]\frac{DC}{AC}[/tex] ( substitute values )

[tex]\frac{DE}{8.4}[/tex] = [tex]\frac{8}{17.2}[/tex] ( cross- multiply )

17.2 × DE = 8.4 × 8 = 67.2 ( divide both sides by 17.2 )

DE = 3.9 cm ( to the nearest tenth )

In the equation above, which of the following is a possible value of x + 1?

Please show and explain the process!

Answers

Answer:

[tex]x=-1+\sqrt{2},-1-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x+1=\frac{2}{x+1}[/tex]

Multiply both sides by the denominator (x+1).

[tex](x+1)(x+1)=2[/tex]

[tex](x+1)^{2}=2[/tex]

[tex]\sqrt{(x+1)^{2} } =\sqrt{2}[/tex]

[tex]x+1=\sqrt{2}[/tex]

[tex]x=-1+\sqrt{2}\\x=-1-\sqrt{2}[/tex]

I also put my answer through a math solving site and it says it is correct, so I'm not sure why the same answer isn't in your options. Hope this helps, anyway lol!

i need to get this answers someone pleaseeeee help

Answers

The probability that both events happen is given as follows:

P(A and B) = 1/3.

The probability of event B is given as follows:

P(B) = 1/2.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

A dice has six sides, which are given as follows:

1, 2, 3, 4, 5 and 6.

Hence the probabilities for each event are given as follows:

Event A: 4/6 = 2/3 -> outcomes 1, 2, 3 or 4 are desired.Event B: 3/6  = 1/2 -> outcomes are 2, 4 or 6.

The events are independent, hence the probability of both events is given by the multiplication of the probabilities of each event, as follows:

2/3 x 1/2 = 1/3.

More can be learned about probability at https://brainly.com/question/24756209

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Answers

Answer:

80 degrees

Step-by-step explanation:

Since lines m and n are parallel, angles an and e are equal. Thus, if the sum of angles an and e are 200, then each has a measure of 100. Next, angles e and g are supplementary, which means angle g = 180-100 = 80

The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:

a) the equation of the median and bisector drawn from vertex A;

b) the equation of the altitude from vertex B;

c) the point of intersection of the median and height;

d) the coordinates of the center of mass (the point of intersection of the medians).

Answers

Solution
verified
Verified by Toppr
Median bisects the line.
D≡(
2
−3+5

,
2
−9−8

)≡(1,
2
−17

)
E≡(−
2
1+5

,
2
6−8

)≡(2,−1)
F≡(−
2
1−3

,
2
6−9

)≡(−2,
2
−3

)
∴ equation of AD:(y−y
1

)=(
x
2

−x
1


y
2

−y
1



)
AD

(x−x
1

)
⇒(y−6)=






1+1
2
−17

−6







(x+1)⇒(y−6)=−
4
29

(x+1)

4
29

x+y−6+
4
29

=0
AD⇒29x+4y+5=0
equation of BE:(y+9)=(−
2+3
1+9

)
BE

(x+3)
⇒(y+9)=
5
8

(x+3)⇒5y+45=8x+24
BE⇒8x−5y−21=0
Equation of CF:(y+8)=






−2−5

2
3

+8








CF

(x−5)
⇒(y+8)=−
14
13

(x−5)⇒14y+112=−13x+65
CF:13x+14y+47=0

Enzo is deciding whether to purchase a regular or a standby bus ticket.
Each time Enzo travels on a bus, he either arrives at his destination on time
or is delayed. The standby ticket is less reliable, but it gives Enzo more
value when it does work because it is cheaper.
Enzo collected data on 200 of each type of bus ticket. Once Enzo decides
which type of ticket to purchase, he plans to purchase 10 tickets.
What is Enzo's expected value If he purchases regular tickets?
$
What is Enzo's expected value if he purchases standby tickets?
$
To maximize his expected value, Enzo should purchase standby bus
tickets.
(If necessary, round your answers to the nearest cent.)
The following table shows the value that Enzo gets from each type of ticket
depending on whether he arrives at his destination on time or is delayed.
On time
Delayed
Regular ticket Standby ticket
$20
$40
$5
$15
The following table shows the data Enzo collected on each type of ticket.
Bus status Regular ticket Standby ticket
On time
146
54
200
Delayed
Total
167
33
200

Answers

Answer:

Here is the expected value for each type of ticket:

Regular ticket:

$20 \cdot 0.73 + $5 \cdot 0.27 = $16.60

Standby ticket:

$40 \cdot 0.27 + $15 \cdot 0.73 = $22.10

Therefore, Enzo should purchase standby tickets to maximize his expected value.

Here is the math behind the expected value calculation:

Regular ticket:

$20 \cdot 0.73 + $5 \cdot 0.27 = ($20 \cdot \frac{146}{200}) + ($5 \cdot \frac{54}{200}) = $16.60

Standby ticket:

$40 \cdot 0.27 + $15 \cdot 0.73 = ($40 \cdot \frac{54}{200}) + ($15 \cdot \frac{146}{200}) = $22.10

Step-by-step explanation:

Which of the following is a way that you would employ arithmetic in a real-world situation?
a. choosing a grocery item based on a price-per-unit comparison
b. comparing your teammates' batting averages to determine the batting order c. calculating the height of a tree in your front yard
d. estimating how long it will take you to get from school to your soccer game​

Answers

Answer: (A) choosing a grocery item based on a price-per-unit comparison

Step-by-step explanation: I did the test look at the pic for the entire test answers. It shows the points and score so you know it's correct.

The use of arithmetic in a real-world situation the one that specifically involves arithmetic as a calculation is choosing a grocery item based on a price-per-unit comparison. a.

Comparing prices of grocery items, it is often helpful to look at the price per unit (e.g. price per ounce price per pound price per liter) to determine item is the best value.

This requires calculating the cost per unit using arithmetic.

Comparing batting averages involves arithmetic as well but it is primarily a comparison of numbers rather than a calculation.

Calculating the height of a tree involves the use of trigonometry in addition to arithmetic.

Estimating travel time involves basic arithmetic but also factors such as distance traffic and route planning.

Comparing grocery store pricing it might be useful to look at the price per unit (such as the price per ounce, the price per pound or the price per litre) to determine which item is the better deal.

This involves arithmetic computation of the price per unit.

Math is used while comparing batting averages it is more of a comparison of numbers than a calculation.

In addition to arithmetic trigonometry is used to calculate a tree's height.

Basic mathematics as well as variables like route planning traffic and distance must be considered when estimating trip time.

For similar questions on arithmetic

https://brainly.com/question/30442577

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