Paul had a job during his summer vacation he earned 11.25 dollars per hour he worked 20 hours per week for 6 weeks. How much money did he earn?

There can be 90% confident that the population mean salary of college graduates who took a statistics course is between $60,947.78 and $66,652.22.

To construct a 90% confidence interval for estimating the population means μ of salaries for college graduates who took a statistics course, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

First, we need to find the critical value from the t-distribution table with a degree of freedom of n-1. Since we have 49 college graduates, our degrees of freedom are 48. Looking at the table, the critical value for a 90% confidence level is 1.677.

Next, we need to find the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard error is $11,936/sqrt(49) = $1703.05.

Substituting these values into the formula, we get:

Confidence interval = $63,800 ± 1.677 x $1703.05
Confidence interval = $63,800 ± $2852.22

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*see attachment for the diagram of the wall

Answer:

6 cans

Step-by-step explanation:

First, let's calculate the area of the wall to be painted = area of a rectangle

Area of the rectangle = length*width

From the diagram,

Length = 13 ft

Width = 10 ft

Area = 13*10 = 130 ft²

Given that 1 can of paint covers 25 ft²,

Number of can of paints that will cover 130 ft² = 130/25 = 5.2

This means we will need more than 5 cans. So Joan will need to get roughly 6 cams of blackboard paint.

Answer:

102

Step-by-step explanation:

12+12=24

24+3=27

27+50=77

77+25=102

Answer:

102, you can use a calculator

The probability that all three flights arrive on time is approximately 0.457 or 45.7%.

You want to find the probability that all three independent flights in your trip arrive on time, given that the chance each specific leg is on time is 77% (0.77). To calculate this, we can multiply the probabilities of each leg being on time together.

1: Convert the percentage to a decimal (already done):

77% = 0.77
2: Multiply the probabilities of each leg being on time:

0.77 × 0.77 × 0.77

Now, let's do the calculation:
0.77 × 0.77 × 0.77 ≈ 0.456533

Round your answer to three decimal places: 0.457

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Step-by-step explanation:

y =39x + 125

y = 15x + 499

y = 25000 - 2300x

Answer:

B:  \(a = \frac{y - k}{(x - h)^{2} }\)

Step-by-step explanation:

Given the quadratic formula in vertex form, \(y = a(x - h)^{2} + k\)

Start with subtracting k from both sides of the equation:

\(y - k = a(x - h)^{2} + k - k\)

\(y - k = a(x - h)^{2}\)

Then, isolate a by multiplying both sides of the equation by \([\frac{1}{(x - h)^{2}}]\):

\(y - k [\frac{1}{(x - h)^{2}}] = a(x - h)^{2} [\frac{1}{(x - h)^{2}}]\)

This leaves you with the final answer:

\(\frac{y - k}{(x - h)^{2}} = a\)

The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

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Answer:

x = 5.

Step-by-step explanation:

x is the radius of the circle.

The line of length 4 bisects the chord of length 6 into 2 line segments of length 3.

If we draw a line from the centre to where the chord of length 6 meets the circle we have another radius.

This is also the hypotenuse (h) of a right triangle, so we have a right triangle whose legs are 3 and 4, then:

h^2 = 4^2 + 3^2 = 25

h = 5

x = 5 (as x and h are both radii).

Answer:

What is ur book called

I will edit my answer after this

Answer:

1. you move a shape to somewhere else by a number of units

2. the position of the book changes

3. no you are just moving the shape

Answer:

ok i dont know want answer choices there are but imma put my steps

Step-by-step explanation:

4x+16>48

4x+16-16>48-16

4x>32

4x/4=32/4

x>8

Answer:

Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday

Step-by-step explanation:

Answer:

325 adults

Step-by-step explanation:

x=#adults

y=#children

x+y=937

2x+0.75y=1109

2x+2y=1874

-2x-0.75y=1109

1.25y=765

y=612

x=937-612

x=325

Answer:

each freind would get 8 1/3 worms

Step-by-step explanation:

Answer: 8.1

The answer to 25 divided by 3 can also be written as a mixed fraction as follows:  8 1/3

If you enter 25 divided by 3 into a calculator, you will get:

8.3333

Answer:

36 hrs

Step-by-step explanation:

It will need to decay 6 half-lives, which is 36 hrs

0.050/2 = 0.025 (6 hrs)

0.025/2 = 0.0125 (6 hrs)

0.0125/2 = 0.00625 (6 hrs)

0.00625/2 = 0.003125 (6 hrs)

0.003125/2 = 0.0015625 (6 hrs)

0.0015625/2 = 0.00078 = 7.8 x 10^-4 (6 hrs)

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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The correct answer is  c. 2 \(\frac{1}{2}\) hours

Explanation:

The graphic shows the relationship between the distance Erin covers by running and the time this requires. Additionally, to know the specific time that takes for Erin to run a specific distance or vice versa it is necessary to observe at which point the two variables intersect in the line of the graph.

According to this, Erin runs 25 miles (y-axis) in 2.5 hours (x-axis), which you can know because in the line shown by the graph the distance 25 miles that is in the middle of 20 and 30 miles intersects with 2.5 hours or the middle between 2 and 3. Additionally, this number can be expressed as 2 and a half hours, 2.5 or even 2 \(\frac{1}{2}\) hours because the fraction represents half. This makes option C the answer.

The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is  $22.15.

In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.

Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85

Change =  $85 - $62.85 = $22.15

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Answer:

\( \frac{7}{16} \)

Step-by-step explanation:

In this kind of questions we use the following steps to find the answer:

\( \frac{5}{8} - \frac{3}{16} \)

\( \frac{10}{16} - \frac{3}{16} \)

\( \frac{10 - 3}{16} = \frac{7}{16} \)

Is the answer to the question.

Answer:

C

Step-by-step explanation:

5/8 becomes 10/16 and then subtract that result from 17/16

Answer:

length of RT = 4

Step-by-step explanation:

triangle RST has been enlarged by 3 as the length of ST is 3x longer than BC

so the length of RT (12) can be divisible by 3 that gives AC the length of 4cm

210 orders are possibe to pass across a bridge.

The number of orders in which 7 cars can cross a bridge that can only accommodate 4 cars at a time can be calculated using the permutation formula.

The formula for permutation is n!/(n-r)! where n is the total number of items and r is the number of items being selected at a time. In this case, n = 7 cars and r = 4 cars at a time.

Thus, the number of orders in which 7 cars can cross the bridge is 7!/(7-4)! = 7!/(3)! = 765 = 210. This means that there are 210 possible orders in which 7 cars can cross the bridge.

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Answer:

100 days

Step-by-step explanation:

We know

1km = 1000m

30km = 30000m

It takes 1 work day to repair 300m of the road.

30000 divided by 300 = 100 days

So, it takes 100 days to repair 30km of road.

The total volume of the given figure is 2,800 ft³ (that is the amount of soil needed to fill it).

To do it, we can separate the figure into two simpler ones.

We will have:

The volume of a rectangular prism is equal to the product between their dimensions, so the volumes of the prisms are:

\(V = 25ft*20ft*5ft = 2,500 ft^3\)

\(V' = 25ft*4ft*3ft = 300ft^3\)

Then the total volume is the sum of these:

\(v = 2,800 ft^3\)

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Answer:

3f(x)−2g(x)

=3(2x−1)−2(x2)

=6x−2x2−3

Step-by-step explanation:

I hope it will help you....

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Answer:

3 f(x) – 2 g(x)

Step-by-step explanation:

Answer:

First one is 3^16

Second one is 3^10

Third one is 3^2 * 8^2

Forth one is 3^2/8^2

fifth one is 3^8/3^2

Step-by-step explanation:

Answer:

The equation should look like c=1.59 times a

Step-by-step explanation:

if it cost 1.59 dollars per pound of apple it is going to be a multiplication problem so then you fill in the blanks, A standing for per pound of apples and C representing total cost

Answer:

5y-3y+12+12=18

2y = 18 - 24

y = -6/2

y = -3

\(\huge\textsf{Hey there!}\)

\(\large\textsf{5y + 12 - 3y + 12 = 18}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\textsf{(5y - 3y) + (12 + 12) = 18}\\\\\large\text{NEW EQUATION: \textsf{2y + 24 = 18}}\\\\\large\text{SUBTRACT 24 to BOTH SIDES}\\\\\large\textsf{2y + 24 - 24 = 18 + 24}\\\\\large\text{Cancel out: \textsf{24 - 24} because it gives you 0}\\\\\large\text{Keep: \textsf{18 - 24} because it helps solve it helps solve for y}\\\\\large\textsf{18 - 24 = \bf -6}\)

\(\large\text{NEW EQUATION: \textsf{2y = -6}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\mathsf{\dfrac{2y}{2y}=\dfrac{-6}{2}}\\\\\large\text{Cancel out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\mathsf{\dfrac{-6}{2}}\large\text{ because it gives you the y-value}\\\\\large\textsf{y = }\mathsf{\dfrac{-6}{2}}\\\\\mathsf{\dfrac{-6}{2}= \bf -3}\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: y = \bf -3}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}\)

The x-value that corresponds to a z-score of 2.05 is approximately 130.75.

To find the x-value that corresponds to a given z-score, we use the formula:

x = μ + zσ

Where:

x is the corresponding value in the distribution,

μ is the mean of the distribution,

z is the z-score,

σ is the standard deviation of the distribution.

In this case, the mean (μ) is 100, the z-score (z) is 2.05, and the standard deviation (σ) is 15.

Substituting the values into the formula, we have:

x = 100 + 2.05 * 15

Calculating this, we get:

x = 100 + 30.75

x = 130.75

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Answer: B. 128a⁶b¹³

Step-by-step explanation:

The area of the rectangle with the dimensions shown below represents :

\((2a^2b)^3*(4b^5)^2=\\\\2^3a^{2*3}b^3*4^2b^{5*2}=\\\\8a^6b^3*16b^{10}=\\\\(8*16)a^6b^{3+10}=\\\\128a^6b^{13}\)