Write the equation for the axis of symmetry for the
follow absolute value graph:

Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:

[tex]H_0: \mu \leq 500[/tex]

At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:

[tex]H_1: \mu > 500[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

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

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]

Hence, the value of the test statistic is:

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

[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]

[tex]z = 2.9[/tex]

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

Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

A similar problem is given at https://brainly.com/question/25728144

Answer:

  266

Step-by-step explanation:

There are (3 ft)^3 = 27 ft^3 in 1 cubic yard. Then 9.83 cubic yards will be ...

  (9.83 yd^3)(27 ft^3/yd^3) = 265.41 ft^3

265 sacks will not be enough. 266 sacks must be ordered.

Answer:

I think 38.7 if you do<j it would be 38.7

Answer:

y < 5

Step-by-step explanation:

22 – 3y > 7

=> 22 – 7 > 3y

=> 15 > 3y

=> y < 5

Therefore, y < 5 is the solution.

Hoped this helped.

Answer:

A

Step-by-step explanation:

The square root of 50 is less than the square root of 78.

Assuming you mean f(t) = g(t) × h(t), notice that

f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)

Then the difference quotient of f is

[tex]\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}[/tex]

Recall the angle sum identity for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

Then we can write the difference quotient as

[tex]\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}[/tex]

or

[tex]\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}[/tex]

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)

Answer:

To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y.  This will find f^-1(x).

Step-by-step explanation:

Answer:

I believe it'd 69.5

Step-by-step explanation:

if u use the equation 2x+5=134, you get 64.5 for Josh and 69.5 for eric

Answer:

2.25 feet.

Step-by-step explanation:

Formula: divide the value in inches by 12 because 1 foot equals 12 inches.

So, 27 inches = 27 /12  =  2.25 feet.

Answer:

The graph is attached below.

Step-by-step explanation:

First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.

This gives us x is greater than -1. So, we can graph:

Answer:

it is 6.

Step-by-step explanation:

Answer: its 45% for sure

Answer:

i believe 45%

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Answer:

Step-by-step explanation:

Answer:

6.4 ounces

Step-by-step explanation:

If there are 32 ounces total, you can divide the total by the number of people to get the amount of soup each person gets.

32 / 5 = 6.4

Answer: If there's a remainder, then it's 6 with a remainder of 2

If it's a decimal (depends on what grade your sister's in), it's 6.4

If it's a fraction (again, depends on what grade your sister's in), it's 6 2⁄5

Step-by-step explanation:

32÷5=6r2, 6.4, or 6 2⁄5

Answer: 12

Step-by-step explanation: there are 60 minutes in an hour. 60/5=12

Answer:

Factors of 20 and 10: P ∪ Q

Factors of 20 but not 10: U ∩ (P ∪ Q)c

Neither factors of 20 or 10: (P ∪ Q)c

Answer:

He says that because he thinks ur cheating for attention. When they say you 'let the whole world know' that you`re unloyal and can be with any guy, without a care, it`s an insult.

Answer:

it means that he was dating another person while already dating

Step-by-step explanation:

it like when ur dating 2 people at one time without the other person knowing

Step-by-step explanation:

[tex]p^{3}q^{2}-6p^{2} q^{5} +p^{4} q^{4}[/tex]

So since the highest index/power is 5 the degree is 5

Hope that helps :)

Answer:

You have two sets of parallel sides. A square has two sets of parallel sides, and it has the extra condition that all of the angles are right angles. So a square is definitely going to be a rhombus. Now, all rhombuses have four sides.

Step-by-step explanation:

Answer:

A Parallelogram

Step-by-step explanation:

Answer:

I Think it's True (If it's not please don't hate)

Answer:

a≥11

Step-by-step explanation:

Because the graph is 11 the minimum and there is no maximum, you can say that a can be equal to 11, or it can also be bigger than 11.

Answer:

7/8 , 5/6

Explanation:

7/8 , 5/6 are the only fractions that are not equivalent fractions as when they are simplified they don't share the same fraction. Hope this helps.

Answer:

20 and 35 because it says that she wrote a check.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

she only has $60 to spend therefore, she has the option of spending all of it, or less. However she cannot spend money she doesn't have.

Answer:

I think it's B

Step-by-step explanation:

(So far she has spent $45.95, plus the extra gift, and that has to equal less than or equal to $60) =

45.95 + extra gift (x) ≤ 60