in a survey of 320 customers, 84 say that service is poor. you select two customers without replacement to get more information on their satisfaction. what is the probability that both say service is poor?

Answer:

3[tex]x^{2}[/tex](3+1)

Step-by-step explanation:

The HCF is 3[tex]x^{2}[/tex] hence it will go outside the brackets.

Answer:

3x^2(3+1)

^2 means squared or two to the exponential power.

Step-by-step explanation:

The mean, median, and mode of the heights of 20 people belonging to the same group were found to be 160.95 cm, 160 cm, and 160 cm respectively.

Mean:

Add all the heights together:

160 + 160 + 170 + 180 + 160 + 160 + 175 + 170 + 160 + 160 + 160 + 160 + 160 + 160 + 160 + 175 + 160 + 160 + 170 + 160 = 2605

Divide the sum by the number of data points (20):

2605 / 20 = 160.95

Median:

Arrange the data in numerical order:

160, 160, 160, 160, 160, 160, 160, 160, 160, 160, 170, 170, 175, 175, 180

The median is the middle value, which is 160.

Mode:

The mode is the most common value, which is 160.

The mean, median, and mode of the heights of 20 people belonging to the same group were calculated by adding all the heights together and dividing the sum by the number of data points (20). The mean was found to be 160.95 cm. The data was then arranged in numerical order and the median was found to be the middle value, which was 160 cm. Lastly, the mode was determined to be the most common value, which was also 160 cm.

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Answer: C and D

Step-by-step explanation:

Plug in the X and Y from the coordinates into each equation. If both sides are equivalent, that means that the line passes through.

Answer:

isjsjdjejejrjebdkxn nsksksnenmdnxee nu pot snndnsnenenene

here is your Answer.

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Please mark me brainiest

Answer:

x =1

Step-by-step explanation:

4 + 3x = x + 6

minus 4 from both side

6-4 = 2

3x = x + 2

then minus x from both side

3x-x=2

(pretend there's a 1 beside the x)

2x = 2

then divide 2 from both side and 2/2 =1

s0 x=1

that doesn't make sense but ye

A) y=-x+15
B)   y=-1/2x+10
D)  The graphs intersect at x=10,y=5 And spelling questions are 10 and vocabulary questions are 5.        

Step-by-step explanation:

Total number of question is 15,
So,
x+ y=15
y=-x+15

B) Total number of points possible is 100
5x +10y=100
x+2y=20
2y=-x+20
y=-1/2x+10

D) The graphs intersect at                  
x=10,y=5

So spelling questions are 10 and vocabulary questions are 5.  

According to the slope-intercept form, the slope-intercept form of the line is given by the equation y = mx + b, where m is the line's slope and (0,b) is its y-intercept. Ax + By = C is the method for a linear equation in standard form, where A, B, and C are real numbers.

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Using probability the value of p + q = -0.4

Probability is the likelihood of an event.

Given the Venn diagram and that the probabilities are independent events.

The probability of A or B is given by

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Also, the probability of A and B is given by P(A ∩ B) = P(A)P(B)

So, we have that

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = P(A) + P(B) - P(A)P(B)

From the Venn diagram, we have that

P(A) = p + q

P(B) = q + 0.6

P(A ∩ B) = q

P(A ∪ B) = 0.2

So, substituting these into the equation, we have that

P(A ∪ B) = P(A) + P(B) - P(A)P(B)

0.2 = p + q + q + 0.6 -  q

0.2 = p + 2q - q + 0.6

0.2 - 0.6 = p + q

-0.4 = p + q

So, the value of p + q = -0.4

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By means of ratio properties, the simplified form of ratio 1.5 : 20 is equivalent to ratio 3 : 40.

Ratios are relationships between two real numbers of the form a : b, the simplification of ratios can be done by using the following ratio property:

Simplification property for ratios

a : b ← (a · c) : (b · c)

Where a, b, c are real numbers.

The purpose of ratio simplification is to eliminate any decimal number in a ratio. If we know that a = 1.5, b = 20 and c = 2, then the simplified form of the ratio is:

1.5 : 20 → (1.5 · 2) : (20 · 2)

(1.5 · 2) : (20 · 2) = 3 : 40

By ratio properties, ratio 3 : 40 is the simplified form of ratio 1.5 : 20.

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The expression 5+4*2+6-2*2-1 has a value of 14 using order of operations

The order of operations are the rules that tell the sequence in which the multiple operations in an expression should be solved. A way to remember the order of the operations is PEMDAS, where each letter stands for a mathematical operation

Parenthesis            (  )

Exponent                a⁷

Multiplication          x

Division                   ÷

Addition                  +

Subtraction             -

Let's use PEMDAS:

Remember, multiplication comes before addition and subtraction, thus, we have:  

5+4×2+6-2×2-1 = 5 + (4×2) + 6 - (2×2) - 1

                        =  5 + 8 + 6 - 4 - 1

                        =  14

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Answer: 5 4/7

Step-by-step explanation: First, we need to change both 1 5/7 and 3 1/4 into an improper fraction. So:

[tex]1 \frac{5}{7}[/tex] = [tex]\frac{12}{7}[/tex]

[tex]3\frac{1}{4}[/tex] = [tex]\frac{13}{4}[/tex]

So, now we need to cross-multiply 12/7 and 13/4.

That'd be 156/28

But wait. We analyze that 156 and 28 can be reduced by 4

So, 156 divided by 4 is 39, and 28 divided by 4 is 7. So now our improper fraction is 39/7. To make it an improper fraction, we divide 39 by 7, which would give us 5 4/7. I hope this helped!

Answer:

567 minutes each month.

Step-by-step explanation:

Let x be the number of minutes of talk time used each month.

The cost for talk time beyond 500 minutes is $0.08 * (x - 500)

The cost for email is $27.70 * 0.3 = $8.31

The total monthly cost is $27.70 + $0.08 * (x - 500) + $8.31 = $35.99

The total cost for 9 months is $35.99 * 9 = $323.91

So we can set up the equation:

$27.70 + $0.08 * (x - 500) + $8.31 * 9 = $367.29

Solving for x, we get:

x = 567

So the number of minutes of talk time used each month is 567 minutes.

Answer:

Answer for the investment problem: Fund 1 was $4,000  Fund 2 was $2,000

Answer for the tickets problem: 123 student tickets were sold and 235 non-student tickets were sold.

Step-by-step explanation:

Sorry I have to go so I don't have time to type up the explanation nicely, but here is my work.  Have a great night!

Answer:

x = 19

Step-by-step explanation:

5x - 37 = 3x + 1      (move over the 3x by subtracting)

2x - 37 = 1      (move over the 37 by adding)

2x = 38      (divide both sides by 2)

x = 19

x=19

Step-by-step explanation:

(5x-37) = (3x+1)

5x - 3x = 1 + 37

5x - 3x = 38

2x = 38

x = 19

The curve is concave upward for t values greater than zero, according to the assertion made.

Curve, An abstract phrase used to characterize the trajectory of a series of movements particle in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a linear model or a collection of connected line segments. The IS curve displays combinations of borrowing costs and production levels where anticipated expenditure and income are equal. The many interest and income configurations along which is something the goods market is still in equilibrium are represented by the IS Curve.

dx/dt = e^t

dy/dt = -te^-t + e^-t

so dy/dt X dt/dx = dy/dx= -te^-t + e^-t /e^t = -t e^(-2t) + e^(-2t)

d2y/dx2 = -dt/dx e^(-2t) +2 t e^(-2t) dt/dx -2e^(-2t) dt/dx

= -e^(-3t) +2te^(-3t) -2e^(-3t)

-t e(-2t) + e(-2t) >0 for curved dy/dx >0

=> t<0 the curve is concave.

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Answer:

Step-by-step explanation:

(a) 10p = 3p - 5

7p = - 5

p = -5/7

(b) a^0 = 1 no matter what a is.

(c) 0.5 y²/x

(d) 5cd²(2c² + 3d²)

solving for a variable:

a)

[tex]10p=3p-5[/tex]

[tex]7p=-5[/tex]

[tex]p=\frac{-5}{7}[/tex]

b) A simple rule to follow is that any number raised to the exponent of 0 is equal to 1

[tex]a^0=1[/tex]

c)

[tex]\frac{xy^3}{2x^2y}[/tex]  cancelled out the common factor of 3

[tex]\frac{y^2}{2x}[/tex]             note that [tex]a^-^y=\frac{1}{a^y}[/tex]

d)

[tex]5cd^2(2c^2+3d^2)[/tex]

There are six characteristics of an absolute value graph.

An absolute value function is a function of the form f(x) = |x|. The graph of an absolute value function has the following characteristics:

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Yes, this results in a random sampling because every day the woodworker produces two chairs, and the company that buys the chairs randomly selects the days on which to check the chairs made that day.

This means that each item (each chair) has an equal chance of being selected, and each group of n items (in this case, two chairs) also has an equal chance of being selected. The probability of an item being selected can be calculated using the formula P(A) = n/N, where n is the number of items in the sample and N is the total number of items in the population. In this case, the probability of an item being selected is 2/2 = 1, and the probability of a group of two items being selected is 2/2 = 1. This shows that each item and each group of items has an equal chance of being selected, which means that this is a random sampling.

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The age of my sister and her three children in 4 years will be 70 years

The age is added in 6 years to get 90 years> the addition is done as follows

Sister + 6 + Child1 + 6 + Child2 + 6 + Child3 + 6 + Child4 + 6 = 90 years

Sister + Child1 + Child2 + Child3 + Child4 + 6 + 6 + 6 + 6 + 6 = 90

Sister + Child1 + Child2 + Child3 + Child4 + 6 * 5 = 90

Sister + Child1 + Child2 + Child3 + Child4 = 90 - 30

Sister + Child1 + Child2 + Child3 + Child4 = 60

In 4 years the age will be

Sister + Child1 + Child2 + Child3 + Child4 + 4 * 5 = 90

Sister + Child1 + Child2 + Child3 + Child4 = 90 - 20

Sister + Child1 + Child2 + Child3 + Child4 = 70

in 4 years the ages will be 70 years

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Answer:

The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5

Step-by-step explanation:

2,352,071.15 ft^3 is closest to the volume, in cubic feet, of the sphere .

What does sphere refer to?

The shape and symmetry of a sphere are both round. All of its surface points are equally spaced from the center, making it a three-dimensional solid. Depending on the radius, it has a surface area and a volume.

The volume of a sphere = 4/3 π r^3    where r is the radius.

Here the radius = 1/2 * 165 = 82.5 ft.

So the volume  = 4/3 π (82.5)^3

= 2,352,071.15 ft^3

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Step-by-step explanation:

f(-1) = (1/8)^-1 = 1/(1/8) = 8

f(0) = (1/8)⁰ = 1 (a⁰ = 1 for any a)

f(1) = (1/8)¹ = 1/8 = 0.125

f(2) = (1/8)² = 1/64 = 0.015625

f(3) = (1/8)³ = 1/512 = 0.001953125

remember

(a/b)ⁿ = aⁿ / bⁿ

in the same way as

(a×b)ⁿ = aⁿ×bⁿ

It will take (miles / (mph eastbound + mph westbound)) hours for the two trains to be miles apart.

(miles / (mph eastbound + mph westbound)) * 60 minutes/hour = minutes

The time it takes for two trains to be a certain distance apart depends on the speed of each train and the distance between them. To calculate this, we can use the equation time = distance/speed. We can also use this equation to calculate the time for two trains traveling in opposite directions. To do this, we add the speed of the eastbound train (mph eastbound) and the speed of the westbound train (mph westbound) and divide the distance between the two trains (miles) by the total. This gives us the amount of time it will take for the two trains to be miles apart. After converting the answer to minutes, we get the amount of time it will take for the two trains to be miles apart.

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Answer: The answer is 4

Step-by-step explanation: Firstly you want to convert the whole number into a fraction, the fraction will be 24/1. Then you multiply 1/6 by 24/1 or 1x24/6x1 which equals 26/6. This fractio can be simplified, by finding the greatest common factor. The GCF of 24 and 6 is 6.

24/6 = 4

6/6 = 1

So our full answer is 4/1 which simplifies to 4

Answer:

4

Step-by-step explanation:

take 24 divided by 6 you'll get

the value of p and d are P = [v1, v2, v3] = [[-1, 1, 1], [1, 1, 1], [1, 1, 1]] and

D = [[-3, 0, 0], [0, 12, 0], [0, 0, 12]]  To diagonalize a matrix A, initially the value of  eigenvalues and eigenvectors to be find. The eigenvalues of the matrix are λ = -3 and 12.

The eigenvectors for λ = -3 are obtained by the solutions to the equation given as:

(A - λI)v = 0 then,

(A + 3I)v = 0

hence

| 2 5 5 | |v1| | 0|

| 5 2 5 | . |v2| = | 0|

| 5 5 2 | |v3| | 0|

hence The solution obtained by the  equation is given by:

v1 = -v2 + v3

The eigenvectors for λ = 12 are obtained by the solutions to the equation:

(A - λI)v = 0

Which is:

(A - 12I)v = 0

Which is:

| -10 -5 -5 | |v1| | 0|

| -5 -10 -5 | . |v2| = | 0|

| -5 -5 -10 | |v3| | 0|

hence The solution obtained is :

v1 = v2 = v3

So the eigenvectors are:

v1 = [-1, 1, 1] for λ = -3

v2 = v3 = [1, 1, 1] for λ = 12

The matrix P is the matrix whose columns are of  the eigenvectors of A:

P = [v1, v2, v3] = [[-1, 1, 1], [1, 1, 1], [1, 1, 1]]

The matrix D is the diagonal matrix whose diagonal elements are of the eigenvalues of A:

D = [[-3, 0, 0], [0, 12, 0], [0, 0, 12]]

therefore , A can be diagonalized as A = PDP^-1

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Answer:

4g=s

Step-by-step explanation:

4g=s

there are 4 g's for every s as he work for 4 times as many hours at the grocery store.

The rate at which the top of the ladder is moving down the wall = 9 feet/second.

This is a problem of right triangle similarity.

We can use the Pythagorean theorem to find the height of the ladder, which is the hypotenuse of a right triangle.

We can use the relationship between similar triangles to find the rate at which the top of the ladder is moving down the wall.

Let x be the distance of the base of the ladder from the wall.

We know that the ladder is 26 feet long, so the height of the ladder is the square root of (26^2 - x^2).

We know that the base of the ladder is moving away from the wall at a rate of 3 feet per second.

So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (height of ladder / x)

When x = 10 feet, the height of the ladder is the square root of (26^2 - 10^2) = the square root of (676) = 26 feet.

So, the rate at which the top of the ladder is moving down the wall is (3 feet/second) * (26 feet / 10 feet) = 9 feet/second.

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As per the question, 33 boys tried the track and 87 boys didn't, whereas 12 girls tried the track and 68 girls didn't.

Total number of boys = 120

Total number of girls = 80

Students who tried out for track = 45

Students that were girls = 45

If 12 were girls, therefore,

Total number of boys -

= 45 - 12

= 33

This means that 33 boys tried the track

Now, since 12 girls tried the track

Boys who did not try the track -

= 120 - 33

= 87

Girls who did not try the track -

= 80 - 12

= 68

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The statement 2 is true i.e. He  is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be root multiplicities or complex.

Understanding the fundamental theorem of algebra, the number of roots of a polynomial equation must be equal to the degree of the equation. While been given any polynomial in factored form, we must expand the parentheses to find the highest-degree term.

For the equation  provided, simplified form could be x⁵ + 2x² = 0, and as looking at this polynomial and graphing it, it is evident that the total roots or solutions is equal to the highest exponent of the term x which is 5. Hence, Josh makes an incorrect statement.

The multiplicity of a root is the number of occurrences of the said root in the entire complete factorization of the polynomial, as by the means of the fundamental theorem of algebra. The root multiplicities are thus the repeated roots as involved in the full factorization process of a single equation of a polynomial.

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The correct question is:

Josh graphs a system of equations to determine the roots of the polynomial equation x⁵ = -2x²  . From the graph, he determines that there are two solutions to the equation. Which statement is true?

Given the

Diagonal length 1 (d1) =40cm

diagonal length 2 (d2) =26cm

area of ​​rhombus,

= 1/2 (d1 × d2)

=1/2 (40×26)

=520[tex]cm^2[/tex]

Hence the area of the rhombus whose diagonals are 40 centimeters and 26 centimeters comes out to be 520[tex]cm^{2}[/tex].

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