One travels due south at an average speed of 58 miles per hour, and the other travels due north at an average speed of 49 miles per hour. After how many hours will the two trucks be 802.5 miles apart?

Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:

[tex]H_0: \mu = 28[/tex]

At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:

[tex]H_1: \mu > 28[/tex].

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given by:

[tex]\overline{x} = 32, \mu = 28, \sigma = 5, n = 10[/tex]

Hence:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}[/tex]

[tex]z = 2.53[/tex]

Considering that we have a right-tailed test, as we are testing if the mean is greater than a value, with a standard significance level of 0.05, the critical value is of [tex]z^\ast = 1.645[/tex].

Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

To learn more about the z-distribution, you can check https://brainly.com/question/26454209

Answer:

ms. perez needs to pays 60$ for the pizzas

Step-by-step explanation:

28÷8=3.5

since you can't buy extra large pizzas by halves, you need to change 3.5 into 4

4x15=60

ms. perez needs to pays 60$ for the pizzas

Answer: 4.3%

Step-by-step explanation:

18^2 = 324

7 * 2 = 14

14/324 = 7/362 = 4.3%

If a function f(x) has an inverse f ⁻¹(x), then by definition

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Differentiating both sides with respect to x yields

[tex]f'\left(f^{-1}(x)\right) \times \left(f^{-1}\right)'(x) = 1 \implies \left(f^{-1}\right)'(x) = \dfrac1{f'\left(f^{-1}(x)\right)}[/tex]

Now, if f(a) = b and b = f ⁻¹(a), then

[tex]\left(f^{-1}\right)'(a) = \dfrac1{f'\left(f^{-1}(a)\right)} = \dfrac1{f'(b)}[/tex]

Answer:

m = 3/4x + 4

I am not sure if this is what you are working on, hopefully this helps.

Answer:

96 inches

Step-by-step explanation:

Given the following question:

12 inches = 1 foot

To find the answer we simply need to multiply 12 by 8, since every 12 inches are equal to 1 foot and we need to find how many inches are in 8 feet.

[tex]12in=1ft[/tex]
[tex]8\times12=96[/tex]
[tex]=96in[/tex]

8 feet is equal to "96 inches."

Hope this helps.

Check the picture below, with that template in mind

[tex]y = \stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{4}|\stackrel{D}{-3}\qquad \begin{cases} A=2~~,~~B=1\\ \qquad \textit{shrinks by a factor of 2}\\ B=1~~,~~C=4\\ \qquad \textit{horizontal leftwards shift by }\frac{4}{1}=4\\ D=-3\\ \qquad \textit{vertical downwards shift by 3} \end{cases}[/tex]

-1248 -1248 -. 936

- 3432

Answer:

-7

Step-by-step explanation:

first multiply 3 and 4 because PEMDAS

so it now looks like

12 - 9 - x = 10

now minus 12 and 9

3 - x = 10

move x to the other side by adding x to both sides

3 = 10 + x

and move 10 to the other side by subtracting  10 to both sides

3 - 10 = x

x = -7

now check

3*4 - 9 - (-7) = 10 ?

12 - 9 + 7 = 10 ?

3 + 7 = 10 ?

10 = 10

Step-by-step explanation:

[tex]3\cdot \:4+\left(-9\right)-x=10[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]

[tex]3\cdot \:4-9-x=10[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:4=12[/tex]

[tex]12-9-x=10[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:12-9=3[/tex]

[tex]-x+3=10[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]-x+3-3=10-3[/tex]

[tex]Simplify[/tex]

[tex]-x=7[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-x}{-1}=\frac{7}{-1}[/tex]

[tex]Simplify[/tex]

[tex]x=-7[/tex]

In Ascending order=22,39,50,61,77,88,89

The Product Rule: If there are n(A) ways to do A and n(B) ways to do B, then the number of ways to do A and B is n(A) × n(B). This is true if the number of ways of doing A and B are independent; the number of choices for doing B is the same regardless of which choice you made for A.

Answer:

50 km/h

Step-by-step explanation:

so you traveled total of 350 (km) in 7 (hours) right?, just take 350, divide it by 7, which will give you km/h. (or 50 km/h) and then when you add a direction it like "west" it's no longer a speed it's a velocity.

Displacement given (in metres) = (350 × 1000)m.

Displacement = 350000 metres.

Time = (7× 3600) seconds

Time = 25200 seconds.

Velocity = Displacement / Time

Velocity = 350000 / 25200

Velocity = 13.89m/s

Approximately, Velocity = 14m/s.

Answer: 5 to 8

Step-by-step explanation:

Since there are 5 grey balls and 3 white balls, you add the number of white and grey balls to get the total balls which is 8, then put the number of grey balls over the 8 which comes to [tex]\frac{5}{8}[/tex] or 5 to 8 probability of getting a grey ball.

This also does not reduce so 5 to 8 is the final answer.

Answer:

Step-by-step explanation:

Remainder of cups of flour is:

25 cups of flour used to bake 150 cupcakes.

Each cupcake has:

Answer:

The first choice.

Step-by-step explanation:

hope this helps!

Answer:

A is the answer took test on e2020

Step-by-step explanation:

Answer:

1.[tex]\frac{24}{7}[/tex]
2.[tex]\frac{21}{6}[/tex]

Step-by-step explanation:

Given the following questions:

[tex]3\frac{3}{7} \\3\frac{5}{6}[/tex]

To convert mixed numbers into improper fractions we need to multiply the denominators by the whole numbers, and then add that answer to the numerator while of course keeping the denominator the same.

Question one:

[tex]3\frac{3}{7} \\3\frac{3}{7} =7\times3=21+3=24=\frac{24}{7} \\=\frac{24}{7}[/tex]

Question two:

[tex]3\frac{5}{6} \\3\frac{5}{6}=6\times3=18+3=21=\frac{21}{6} \\=\frac{21}{6}[/tex]

Your answers are "24/7, and 21/6."

Hope this helps.

Answer:

398,000

Step-by-step explanation:

400,000-2,000=398,000

In word form the answer is three hundred ninety-eight thousand

I hope that has helped :)

Answer:

between 2 and 12.

Step-by-step explanation:

Hope this helps :)

Answer:

3.3

Step-by-step explanation: it said too the nearest so i think 3.3 cause its already 3.6

Answer: 121

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The graph was shifted (translated) 2 units upward.

This is because the 2 is being added onto the x. If you were to set x to 0, you result with a y of 2, making it the y-intercept.

Answer: C. 3 to 9

You simply add 1 to each given value (8 and 2)

The ratio 9 to 3 represents the ratio of water to salt, so 3 to 9 is the ratio of salt to water.

Edit: Realized I had the parts mixed up, but the solution has been fixed

Answer:

The answer is 4

Step-by-step explanation:

Edge 2020

Answer:

it is 4

Step-by-step explanation:

Answer:

The answer is 3/4

Answer:

it's 3/4

Step-by-step explanation:

.075 as a fraction is 75/1000 and 75 ÷ 1000 is 0.75 and 0.75 as a fraction is 3/4

Answer:

2,740,754.11467 or 2,740,754

Step-by-step explanation:

800,000(1.08)^16

y=a(b)^x

a is the starting point

b is growth

x is years

you get the growth by adding 8 to 100 then dividing by 100.

Answer: 2(x+6)

Step-by-step explanation:

add the numbers

10x - 8x + 2 + 10

10x - 8x + 12

combine like terms

10x - 8x + 12

2x + 12

common factors

10x - 8x + 2 + 10

the answer is

2(x+6)

Answer:

Step-by-step explanation:

(y2-y1)/(x2-x1)

-3-(-3)/(2-1)=0

Answer: he needs to fill it 20 times

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Blurry picture can't give right description. :(

Answer:

Step-by-step explanation:

0     0

7

14     14

Answer:

65 yd

Step-by-step explanation:

The diagonal of a rectangle can be found using

Pythagoras' Theorem  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of a right triangle)

Given:

⇒ 25² + 60² = c²

⇒ c² = 4225

⇒ c = √4225

⇒ c = 65

Therefore, the length of the diagonal is 65 yd

9514 1404 393

Answer:

  $8833

Step-by-step explanation:

The account balance will be given by the formula ...

  A = P(1 +rt)

where P is the amount invested, r is the annual rate, and t is the number of years.

  A =- $7300(1 +0.07·3) = $7300·1.21 = $8833

The ending balance is $8833.