The average annual salary for all US teachers is $48,000. Assume the distribution is normal and the standard deviation is $5700, if you apply for teaching position and were $52,000,how do you feel (based on the probability result)? Explain why you feel that way.

Answers

Answer 1

Based on the given information, the average annual salary for all US teachers is $48,000 with a standard deviation of $5,700. So, you should feel good about your $52,000 offer, as it is above the average salary for US teachers and places you in a relatively higher earning position compared to your peers.

If you apply for a teaching position and were offered $52,000, let's determine your relative position in the salary distribution using a z-score.

The z-score is calculated as (X - μ) / σ, where X is your salary, μ is the mean salary, and σ is the standard deviation. Plugging in the values, we have:
Z = ($52,000 - $48,000) / $5,700 = $4,000 / $5,700 ≈ 0.70
A z-score of 0.70 indicates that your salary is 0.70 standard deviations above the mean salary. Based on a normal distribution table, about 24% of teachers would earn more than you, and 76% would earn less.

Considering the probability result, you should feel good about your $52,000 offer, as it is above the average salary for US teachers and places you in a relatively higher earning position compared to your peers.

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Related Questions

5.2. The entrance fee for adults was R50 each and that for children was R20. If the school raised
R31 400 in total, write an equation in x to determine how many adults and how many children
attended the performance. Then solve the equation and write down the number of adults and
(4)
children attended the performance.

Answers

Answer:

Let's assume the number of adults attending the performance is represented by 'x', and the number of children attending is represented by 'y'.

According to the given information, the entrance fee for adults is R50 each, and for children is R20 each.

The total amount raised by the school is R31,400. We can write an equation based on the total amount raised:

50x + 20y = 31,400

This equation represents the total value of the entrance fees paid by adults and children.

To solve this equation, we need another equation to relate the variables 'x' and 'y'.

Since we don't have any other information about the number of adults or children, we cannot determine their relationship based on the given information. Therefore, we cannot find a unique solution for 'x' and 'y' unless there is additional information provided.

If there is additional information or if you have any specific values for 'x' or 'y', I can assist you in solving the equation and finding the number of adults and children attending the performance.

Step-by-step explanation:

Luther bought a snack pack of crackers, and he thinks it's interesting that the cylindrical
tower of crackers came in a box shaped like a square prism. He wonders how much extra
space the box contains around the cracker tower. The box has a height of 8 inches and a side
length of 2 inches. If the tower of crackers has a height of 7.9 inches and a diameter of
1.9 inches, what is the volume of the extra space in the box?
Round your answer to the nearest tenth.

Answers

The volume of the extra space in the box is 9.0 cubic inches.

How to estimate the volume of the extra space in the box?

To estimate the volume of the extra space in the box, we shall find the difference between the volume of the box and the volume of the cracker tower.

First, volume of the box:

The volume can be calculated as the product of the height, length, and width (we assume the width is the same as the side length since it is a square prism):

Box volume = height * length * width

Given:

height = 8 inches

side length = 2 inches

Box volume = 8 * 2  * 2

= 32  in³

Next, the volume of the cracker tower:

The tower of the cracker is cylindrical, so we shall use the formula for the volume of a cylinder to estimate the volume:

Tower volume = π * (radius²) * height

Given:

height = 7.9 inches

diameter = 1.9 inches

radius = diameter / 2 = 1.9  / 2 = 0.95

Tower volume = π * (0.95)² * 7.9

≈ 22.994 in³ (rounded to three decimal places)

Then, the volume of the extra space in the box:

Volume of the extra space = Tower volume - Box volume:

= 32 in³ - 22.994 in³

≈ 9.006 in³ (rounded to three decimal places)

Therefore, the volume of the extra space in the box = 9.0 in³.

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Out of a pool of 26 men and 29 women what is the probability that 6 men and 6 women will be selected?

Answers

Let's evaluate the probability based on the given information.

The number of ways to choose 6 men from 26 can be calculated as:

C(26, 6) = 26! / (6! * (26-6)!) = 26! / (6! * 20!) = 230,230.

The number of ways to choose 6 women from 29 can be calculated as:

C(29, 6) = 29! / (6! * (29-6)!) = 29! / (6! * 23!) = 177,100.

The total number of possible outcomes is the combination of selecting 6 men and 6 women from the given pool of 26 men and 29 women:

Total outcomes = C(26, 6) * C(29, 6) = 230,230 * 177,100 = 40,795,315,300.

Therefore, the probability of selecting exactly 6 men and 6 women from the given pool is:

Probability = 1 / Total outcomes = 1 / 40,795,315,300 ≈ 2.45 x 10^-11.

Hence, the probability is approximately 2.45 x 10^-11.

Solving a word problem using a system of linear equations of th.. One month Alan rented 5 movies and 2 video games for a total of $21. The next month he rented 3 movies and 8 video games for a total of $50. Find the

rental cost for each movie and each video game.

Answers

Answer: The rental cost of each movie is $2 and each video game is approximately $5.5

Step-by-step explanation:

Let's assume the rental cost per movie is "m" and the rental cost per video game is "v". We can set up a system of linear equations based on the given information.

From the first month:

5m + 2v = 21 ----(1)

From the second month:

3m + 8v = 50 ----(2)

To solve the system of equations:

5m + 2v = 21 ----(1)

3m + 8v = 50 ----(2)

We can multiply equation (1) by 4 to make the coefficients of "m" the same:

4(5m + 2v) = 4(21)

20m + 8v = 84 ----(3)

Now, subtract equation (2) from equation (3):

(20m + 8v) - (3m + 8v) = 84 - 50

20m - 3m + 8v - 8v = 34

17m = 34

Divide both sides of the equation by 17:

m = 34 / 17

m = 2

Now that we have the value of "m," we can substitute it back into either equation (1) or (2) to solve for "v." Let's use equation (1):

5(2) + 2v = 21

10 + 2v = 21

2v = 21 - 10

2v = 11

v = 11 / 2

v = 5.5

Therefore, the solution to the system of equations is:

m = 2 and v = 5.5

The cost of a season train ticket is reduced by $33.10 which corresponds to a 10%
reduction. Find the original cost of the season ticket.

Answers

Answer:

Let's denote the original cost of the season train ticket as "x".

According to the given information, a reduction of $33.10 corresponds to a 10% reduction in the original cost. We can set up the following equation to represent this:

10% of x = $33.10

To solve for x, we need to convert 10% to decimal form, which is 0.10. We can rewrite the equation as:

0.10 * x = $33.10

Simplifying the equation, we have:

0.10x = $33.10

To isolate x, we divide both sides of the equation by 0.10:

x = $33.10 / 0.10

x = $331.00

Therefore, the original cost of the season train ticket is $331.00.

Step-by-step explanation:

Let X be the original cost of the season train ticket.
Then, we know that 10% of X is equal to $33.10.
We can write this as an equation:
0.1X = 33.10
To solve for X, we can divide both sides of the equation by 0.1:
X = 331.0
Therefore, the original cost of the season train ticket is $331.

Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?

Type the correct number below without the dollar sign.

Answers

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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In Boston, a popular restaurant recently added a delivery option. In reviewing the sales for this new delivery service, the restaurant found the mean delivery orders in a random sample of Friday nights was x¯=48 orders, with a margin of error of 12 orders.

Answers

The 95% confidence interval for the mean number of delivery orders on a Friday night is 36 to 60 orders.

What is the confidence interval?

The confidence interval for the mean number of delivery orders on a Friday night is constructed assuming a 95% confidence level.

Given data:

Sample mean (x) = 48 orders

The margin of error (E) = 12 orders

To calculate the confidence interval, we'll use the formula:

Confidence Interval = x ± E

Substituting the values:

Confidence Interval = 48 ± 12

The lower limit of the confidence interval:

Lower Limit = 48 - 12 = 36

The upper limit of the confidence interval:

Upper Limit = 48 + 12 = 60

Therefore, the 95% confidence interval for the mean number of delivery orders on a Friday night is 36 to 60 orders.

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Complete question:

In Boston, A Popular Restaurant Recently Added A Delivery Option. In Reviewing The Sales For This New Delivery Service, The Restaurant Found The Mean Delivery Orders In A Random Sample Of Friday Nights Was X¯=48 Orders, With A Margin Of Error Of 12 Orders. Construct A Confidence Interval For The Mean Number Of Delivery Orders On A Friday Night.

How do i do this problem liek i have to find a side?

Answers

Answer:

[tex]\overline{LP}=77[/tex]

Step-by-step explanation:

Given [tex]\Delta LMQ\sim\Delta LNP[/tex], then [tex]\overline{LN}=\overline{LM}+\overline{MN}=8+14=22[/tex]. This will help us find [tex]\overline{LQ}[/tex] since we know the length of [tex]\overline{QP}[/tex]:

[tex]\displaystyle \frac{\overline{LM}}{\overline{LM}+\overline{MN}}=\frac{\overline{LQ}}{\overline{LQ}+\overline{QP}}\\\\\frac{8}{8+14}=\frac{\overline{LQ}}{\overline{LQ}+49}\\\\\frac{8}{22}=\frac{\overline{LQ}}{\overline{LQ}+49}\\\\8(\overline{LQ}+49)=22\overline{LQ}\\\\8\overline{LQ}+392=22\overline{LQ}\\\\392=14\overline{LQ}\\\\28=\overline{LQ}[/tex]

Therefore:

[tex]\overline{LP}=\overline{LQ}+\overline{QP}=28+49=77[/tex]

Janine built a raised garden bed that is 10 feet long, 5 feet wide, and 1.5 feet tall. She plans to fill the garden bed with premium soil that costs $16.31 per cubic yard. Recall that 1 yard = 3 feet. how much will it cost Janine to fill her garden bed with premium soil?

Answers

Answer: $45.31

Step-by-step explanation:

10*5*1.5=75

75/27 (formula)=2.77778

2.77778*16.31=45.31


The quilt is made of squares with diagonals.
The length of BD is 4.
a. Find the length of AE. Round answer to the hundredths.
b. Find the area of square ABCD.

Answers

Round answer to the hundredths.

a. AE = 4√2 ≈ 5.66
b. Area of square ABCD = 16

Work out the area of this circle.
Give your answer in terms of and state its units.
TC
14 cm

Answers

Answer:

49pi cm^2

Step-by-step explanation:

The area of a circle is pi(r)^2

To find our radius, we need to divide the diameter by 2.

14 / 2 = 7

Lets plug that into our equation:

pi(7)^2

Simplify:

pi(49)

rearrange:

49pi

WAIT, we need units!

49pi cm^2

~~~Harsha~~~

8. mVWY =
Segment AB and segment AD are both tangent to circle C. Find x.
Need 7-9 pls show work. Will mark you branliest

Answers

The tangent from the external point are equal, so the x value is 3 units.

7) The measure of the arc XW is 180-105=75

8) The measure of the arc VWY is 105+75+85 = 265

9) We know that, tangent from the external point are equal

In circle C, AB=AD

26=8x+2

8x=24

x=24/8

x=3 units

10) 9x-3=7x+5

9x-7x=5+3

2x=8

x=8/2

x=4

Therefore, the tangent from the external point are equal, so the x value is 3 units.

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Apply the square root principle to solve (x – 2)^2 + 20 = 0.
Question 1 options:

A)

x = 2 + 2i , x = 2 – 2i

B)

x = –2 + 2i , x = –2 – 2i

C)

x = 2 + 2 , x = 2 – 2

D)

x = –2 + 2, x = –2 – 2

Answers

Answer:

швлалалаось.чллслслслсб вщлалс

Enter the number that belongs in the green box

Answers

The angles of the triangle with sides 11, 12 and 20 are approximately 117.6 degrees.

We are given that;

The angles of triangle sides are 11, 12 and 20.

Now,

To find the angles of a triangle when its sides are given, we can use the law of cosines. The law of cosines states that c^2 = a^2 + b^2 - 2ab cos©, where a, b, and c are the sides of the triangle and C is the angle opposite to side c.

Using this formula, we can find the angle opposite to side 20 as follows: [tex]cos© = (a^2 + b^2 - c^2) / 2ab cos© = (11^2 + 12^2 - 20^2) / (2 * 11 * 12) cos© = -0.45 C = arccos(-0.45) C[/tex] = 117.6 degrees

Similarly, we can find the other two angles:[tex]cos(A) = (b^2 + c^2 - a^2) / 2bc cos(A) = (12^2 + 20^2 - 11^2) / (2 * 12 * 20) cos(A) = 0.25 A = arccos(0.25) A[/tex] = 75.5 degrees

[tex]cos(B) = (a^2 + c^2 - b^2) / 2ac cos(B) = (11^2 + 20^2 - 12^2) / (2 * 11 * 20) cos(B) = -0.55 B = arccos(-0.55) B[/tex]= 87 degrees

The triangle with sides 11, 12 and 20 are approximately 117.6 degrees, 75.5 degrees, and 87 degrees

Therefore, by the angle the answer will be 117.6 degrees.

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11. The height of a plant over 4 weeks is shown in the graph below.
Height of Plant (cm)
16
23
Week
What is the rate of growth of the plant, in centimeters per week?
A 2
B. 3
C. 8
D. 12

Answers

The rate of growth of the plant is 2 centimeters per week.

Calculate the change in height divided by the change in time (weeks) to find the plant's growth rate.

To calculate the rate of growth of the plant, we need to determine the change in height per week.

Given:

Initial height = 4 cm

Final height = 12 cm

Weeks = 4

To find the rate of growth, we can use the formula:

Rate of growth = (Final height - Initial height) / Weeks

Substituting the given values into the formula:

Rate of growth = (12 cm - 4 cm) / 4 weeks

Rate of growth = 8 cm / 4 weeks

Rate of growth = 2 cm/week

Therefore, the rate of growth of the plant is 2 centimeters per week.

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A shop has jars of strawberry jam and raspberry jam in the ratio 3:1
Two customers come into the shop and randomly select a jar of jam
to purchase.

The probability that both customers select strawberry jam is 11/20

a) How many jars of jam does the shop have initially?

b) Given that the customers both chose the same type of jam, work
out the probability that they both chose strawberry.

Answers

The shop initially has 0.884 jars of jam

The probability that both customers chose strawberry jam, is 0.25.

a) Let's assume the number of jars of strawberry jam is 3x and the number of jars of raspberry jam is x.

So, the total number of jars of jam in the shop is 3x + x = 4x.

According to the given information, the probability that both customers select strawberry jam is 11/20.

So, the probability of the first customer selecting a jar of strawberry jam = (3x/4x) = 3/4,

and the probability of the second customer

=  ((3x-1)/(4x-1)).

Now, (3/4) ((3x-1)/(4x-1)) = 11/20

(3/4) ((3x-1)/(4x-1)) = 11/20

20(3/4) ((3x-1)/(4x-1)) = 11

15 (3x-1) = 44  (4x-1)

45x - 15 = 176x - 44

176x - 45x = 44 - 15

131x = 29

x ≈ 29/131

Therefore, the value of x is 0.221

To find the initial number of jars of jam in the shop, we can substitute this value of x into the equation:

4x =  0.884

b) The probability of the first customer selecting strawberry jam is

= (3x)/(4x)

= 3/4.

Therefore, the probability that both customers chose strawberry jam is:

= (3/4) x ((3x-1)/(4x-1))

= (3/4)  ((3 x 0.221 - 1)/(4 x 0.221 - 1))

= (3/4) ((3 x 0.221 - 1)/(4 x 0.221 - 1))

≈ 0.25

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Can some one help me with this please

Answers

A) Area of figure is,

⇒ A = 3π (3 + √73) + 4.5π

B) Area of figure is,

A = 89 feet²

We can simplify as;

A) In figure A,

It is make with one cone and one semicircle.

Hence, Area of cone is,

A = πr (r + √h² + r²)

A = π × 3 (3 + √8² + 3²)

A = 3π (3 + √64 + 9

A = 3π (3 + √73)

And, Area of semicircle is,

⇒ A = 1/2 (π × 3²)

⇒ A = 4.5π

Hence, Total area is,

⇒ A = 3π (3 + √73) + 4.5π

B) Figure B is make with a trapezoid and triangle.

Area of trapezoid is,

A = 1/2 (7 + 13) × 5

A = 20 × 5 / 2

A = 50 feet²

And, Area of triangle is,

A = 1/2 × 6 × 13

A = 39 feet²

Hence, We get;

Area of figure is,

A = 50 + 39

A = 89 feet²

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a)

Shape 1 area is 753.8 cm³.

Shape 2 area 14.13 cm².

b)

Shape 1 area is 50 ft³.

Shape 2 area is 24 ft².

We have,

a)

The composite figure has a cone and a semicircle.

So,

Area of cone = 1/3πr²h = 1/3 x 3.14 x 3 x 3 x 8 = 753.8 cm³

Area of semicircle = 1/2 x πr² = 1/2 x 3.14 x 3 x 3 = 14.13 cm²

b)

The composite figure has a trapezium and a triangle.

Area of the trapezium

= 1/2 x ( sum of the parallel side) x h

= 1/2 x (7 + 13) x 5

= 1/2 x 20 x 5

= 10 x 5

= 50 ft³

Area of the triangle.

= 1/2 x base x height

= 1/2 x 6 x 8

= 3 x 8

= 24 ft²

Thus,

a)

Shape 1 area is 753.8 cm³.

Shape 2 area 14.13 cm².

b)

Shape 1 area is 50 ft³.

Shape 2 area is 24 ft².

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find exact value sin 9pie/ 4

Answers

The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

We have to given that;

Expression to find exact value is,

⇒ sin 9π/4

Now, WE can change it into degree as,

⇒ 9π/4

⇒ 9 × 180 / 4

⇒ 9 × 45

⇒ 405 degree

Hence, We get;

⇒ sin 9π/4

⇒ sin 405°

⇒ sin (360 + 45°)

⇒ sin 45°

⇒ 1 / √2

Thus, The exact value of expression sin 9π/4 is,

⇒ sin 9π/4 = 1 / √2

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Section 1 Mathematics Multiple-C 6 Isla can run 800 metres in 10 minutes. At this rate, how many kilometres can she run in 50 minutes?​

Answers

To find out how many kilometers Isla can run in 50 minutes, we can use a proportion based on her running rate.

We know that Isla can run 800 meters in 10 minutes. Let's set up a proportion to find the distance she can run in 50 minutes:

Distance in meters / Time in minutes = Distance in meters / Time in minutes

800 meters / 10 minutes = x kilometers / 50 minutes

To solve for x, we cross-multiply and then divide:

(800 meters) * (50 minutes) = (10 minutes) * x kilometers

40,000 meters = 10x kilometers

Dividing both sides by 10:

40,000 meters / 10 = x kilometers

4,000 meters = x kilometers

Therefore, Isla can run 4,000 meters (or 4 kilometers) in 50 minutes.

I hope this helps! :)
Isla runs 800m in 10 minutes

800/10 = 80

Isla runs 80m in 1 minute

80 x 50 = 4000

Isla runs 4000m in 50 minutes

4000m = 4km

What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
--
10 yd
9 yd

Answers

The volume of the given cylinder is 2543 cubic yards.

For the given cylinder,

Height of the cylinder  = 10 yard

Radius of cylinder = 9 yard yard

Then we have to calculate the volume of this cylinder.

Since we know that,

Volume of the cylinder  = πr²h

Where,

r represents radius of cylinder = 9 yard

h represents height of cylinder = 10 yard

Noe therefore,

Volume of the cylinder = π(9)²(10)

                                       = 3.14x 81 x 10

                                       = 2543 cubic yards

Thus,

⇒ Volume = 2543 cubic yards.

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Warm-Up
What is the approximate area of the shaded region?
Select the correct answer.
O 15.45 cm²
O69.53 cm²
128.54 cm²
18 cm
182.47 cm²
4

Answers

Answer:

shaded area ≈ 69.53 cm²

Step-by-step explanation:

the shaded area (A) is calculated as

A = area of square - area of circle

area of square = 18² = 324

area of circle = πr² ( r is the radius )

the diameter of the circle = 18 , so r = 18 ÷ 2 = 9

area of circle = π × 9² = 81π

then

A = 324 - 81π ≈ 69.53 cm² ( to 2 decimal places )

Please help me solve the following using y=mx+b
The table below models a particular physical situation.
x −8, -2, 1, 8
y 5, −9, −2, 4

Find the piecewise linear equation that models the data above.

y =____ x + −8 ≤ x ≤ −2
y= ____ x + −2 < x ≤ 1
y= _____ x + 1 < x ≤ 8

Answers

Answer:

  see below

Step-by-step explanation:

You want the piecewise function that gives straight line segments between domain boundary points (-8, 5), (-2, -9), (1, -2), (8, 4).

Slope

The two-point equation for the slope of a line is ...

  m = (y2 -y1)/(x2 -x1)

For the first pair of points, the slope is ...

  m = (-9 -5)/(-2 -(-8)) = -14/6 = -7/3

The attached calculator image shows the computation of slope for the other two segments. Those slopes are 7/3 and 6/7.

Y-intercept

The slope-intercept form of the equation for a line can be rearranged to give the y-intercept:

  y = mx + b

  b = y - mx

In the attached, we used the (x1, y1) point for each segment. For the first segment, the y-intercept is ...

  b = 5 -(-7/3)(-8) = -41/3

The other two y-intercepts are computed to be -13/3 and -20/7.

Slope-intercept function

The piecewise function that models the given data is ...

  [tex]\boxed{y=\begin{cases}-\dfrac{7}{3}x-\dfrac{41}{3}\quad&-8\le x\le-2\\\\\dfrac{7}{3}x-\dfrac{13}{3}\quad&-2 < x\le1\\\\\dfrac{6}{7}x-\dfrac{20}{7}\quad&1 < x\le8\end{cases}}[/tex]

__

Additional comment

There is nothing in this problem statement that requires the function be continuous. However, we have made it so this function is continuous in the region where it is defined.

The same repetitive computations are handled nicely by a spreadsheet.

<95141404393>

If I have $25. How many cheeseburgers can I get if they are 2.50 each?​

Answers

Answer:

We can get 10 cheeseburgers.

Step-by-step explanation:

To find out how many cheeseburgers we can buy if:

we have $25 andeach cheeseburger costs $2.50,

we can divide the money we have by the cost of each cheeseburger.

To make the division simpler, we can multiply both numbers by 10.

$25 / $2.50 = $250 / $25

From this form of the division, we can clearly see that the amount of money we have is 10 times the cost of one burger because it is 25 with a 0 on the end, which is the result of multiplying by 10.

Therefore, we can get 10 cheeseburgers.

Use mid segment formula to find
a) x=
b) EF=
c) BC=
A
E
B
لی
3
D
4x+6
9x+4
F

Answers

Answer:

x = 5EF = 26BC = 49

Step-by-step explanation:

Given midsegment EF = (4x+6) and base segment BC = (9x+4) of a trapezoid with base AD = 3, you want the value of x and the lengths of the two segments EF and BC.

Midsegment

The midsegment parallel to the base segment is the average of the lengths of the parallel bases.

  4x +6 = 1/2((9x +4) +3))

  8x +12 = 9x +7 . . . . . . . . . multiply by 2 and simplify

  5 = x . . . . . . . . . . . . subtract 8x+7

Segments

Using this value of x, we find the lengths of the segments to be ...

  EF = 4·5 +6 = 26

  BC = 9·5 +4 = 49

Check

  (BC +AD)/2 = EF

  (49 +3)/2 = 52/2 = 26 . . . . as required

<95141404393>

find the general term of the arithmetic sequence if a8=8, a20=44

Answers

Answer:

[tex]a_n=3n-16[/tex]

Step-by-step explanation:

[tex]a_n=a_1+(n-1)d\\\\a_8=a_1+(8-1)d\rightarrow 8=a_1+7d\\a_{20}=a_1+(20-1)d\rightarrow 44=a_1+19d[/tex]

[tex]-36=-12d\\3=d[/tex]

[tex]8=a_1+7(3)\\8=a_1+21\\-13=a_1[/tex]

[tex]a_n=-13+(n-1)(3)\\a_n=-13+3n-3\\a_n=3n-16[/tex]

Help! The white shark can grow to a length of 21 feet. This is 35% of the maximum length of the sperm whale. Find the maximum length of the sperm whale. If necessary, round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

A bag contains 19 blue, 28 purple, 21 red, and 29 orange balls. You pick one ball at random. Find the probability that it is not orange. P(not orange) = Simplify your answer completely.​

Answers

[tex]|\Omega|=19+28+21+29=97\\|A|=19+28+21=68\\\\P(A)=\dfrac{68}{97}[/tex]

given f(x)=3x-5, solve for x when f(x)= (x-1)

Answers

Answer: Pretty sure it should be 2.

Step-by-step explanation:

maybe -2 but i dont think so

Find the inverse for: f(x) = 2x^2-3

Answers

Unless we restrict its domain, a quadratic function doesn't have the inverse.

factored form of 12a-b​

Answers

The factored form of the expression 12a - b is simply 12a - b.

We have,

The concept used in the expression 12a - b is that of combining like terms. When we have an algebraic expression like this, the goal is typically to simplify or rewrite it in a more concise form.

In this case, 12a and -b are two terms in the expression.

The concept of combining like terms allows us to combine these terms together if they have the same variable(s) raised to the same power(s).

The expression 12a - b cannot be factored further using simple algebraic techniques.

Factoring typically involves breaking down an expression into its constituent factors, such as common factors or binomial factors.

However, in the case of 12a - b,

There are no common factors or binomial factors that can be extracted.

Therefore,

The factored form of the expression 12a - b is simply 12a - b.

Learn more about expressions here:

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