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A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”

A dotplot is provided showing the results of 40 trials of this simulation.

A dotplot titled seniors who study for math tests have number of seniors who responded yes on the x-axis, and frequency on the y-axis. 12, 2; 13, 5; 14, 6; 15, 11; 16, 9; 17, 4; 18, 2; 9, 0; 20, 1.

Does this provide convincing evidence that seniors at Garfield High School study more than the report stated?

No, there is an outlier at 20.
No, there were outcomes as low as 12.
Yes, only one trial had a result of 19 or larger.
Yes, more than half of the simulated results are over 15.

Answer: D) the significance level of the test

=======================================================

Explanation:

The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.

The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.

If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".

Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).

The height of the equilateral triangle is 3√3 cm.

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.

The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.

By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).

However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).

Therefore,

The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.

Now,

The height of an equilateral triangle can be found using the formula:

height = (side length / 2) x √3

The side length = 6 cm

So,

height = (6 / 2) x √3

           = 3√3 cm

Therefore,

The height of the equilateral triangle is 3√3 cm.

Learn more about hypothesis testing here:

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Answer:

1/10

Step-by-step explanation:

20 STUDENTS, 2 chosen

Answer: C

Step-by-step explanation: I know I'm late by about 2 weeks but your answer is C.

Answer:

− 3.5 ( x + y )

Hope this helps

Step-by-step explanation:

Answer:

− 3.5 ( x + y )

brainest please

Step-by-step explanation:

or answer the question

do you have microsoft account if yes

i can invite you to microsoft reward

i just realy want make friend here

Answer:

c

Step-by-step explanation: since i helped can i have brainlist please :D

Answer:

[tex]\displaystyle v > \frac{-28}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{-10}{7}v > 8[/tex]

Step 2: Solve for v

Here we see that any value v greater than [tex]\displaystyle \frac{-28}{5}[/tex] would work as a solution to the inequality.

9514 1404 393

Answer:

  x = 27°

Step-by-step explanation:

The supplements of each angle are complementary:

  (180 -6x) +(180 -4x) = 90 . . . . . . . . assumes x is in degrees

  270 = 10x . . . . . . add 10x-90

  27 = x . . . . . . . . . divide by 10

Answer:

mn = k

Step-by-step explanation:

Given that,

m is inversely proportional to n.

ATQ,

[tex]m\propto \dfrac{1}{n}[/tex]

or

[tex]m=\dfrac{k}{n}[/tex]

Cross multiplying both sides,

mn = k

Hence, the required equation is "mn=k".

Answer:

[tex]y^{6}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]x^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , then

[tex]\frac{y^4 y^7}{^5}[/tex]

= [tex]\frac{y^{(4+7)} }{y^5}[/tex]

= [tex]\frac{y^{11} }{y^5}[/tex]

= [tex]y^{(11-5)}[/tex]

= [tex]y^{6}[/tex]

Answer:

the correct answer is number 3.

I'm 10000000000% sure.

the explanation is in the pictures.

Answer:

5 note book

Step-by-step explanation:

laptop - 5 pounds

Notebook - 3 pounds

20-5= 15

15÷3= 5.

Answer:

135 degrees

This is because 180 - 45 = 135

Answer:

C. 135

Step-by-step explanation:

180-45=135

Answer:

The answer will be 5×24×7=840

Answer:

how walk 20 kilometer

Step-by-step explanation:

one hour he walk 5 kilometer he walk 2 hours so he walk 10 kilometer every day so he walk 70 kilometer every week

Answer:

(x-6)(x+6)

Step-by-step explanation:

Answer:

(x-6)(x+6)

Step-by-step explanation:

cause you see x-6 is part of it cause ur multiplying

and x+6  of it cause ur multiplying both sides

for both.

and sorry for like typos or thing slike that cause i been typing a whole essay today for college

like 1000 words

Answer:

10/3

Step-by-step explanation:

Answer: give that person brainliest

Step-by-step explanation:

Answer:

there is no work?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I think A

Step-by-step explanation:

I think a because quotient means division

Answer:

the anwer is D: all of the above

Step-by-step explanation:

Answer:

all of the above

Step-by-step explanation:

Answer:

x = 4, y = 3

Step-by-step explanation:

   2x - 3y = -1

-   2x + y =  11

         -4y = -12

            y = 3

solve for 'x':

2x -3(3) = -1

2x - 9 = -1

2x = 8

x = 4

9514 1404 393

Answer:

  130, 32, 8

Step-by-step explanation:

I find it convenient to use a spreadsheet to do repetitive calculations. The formulas for volume of a candle and number of candles are shown in the attached spreadsheet.

The block of wax has a volume of 4×4×4 = 64 cubic inches. The volumes shown for the candles are in cubic inches, so the number of candles is 64 divided by the candle volume.

Answer:

-7/2i

Step-by-step explanation:

The imaginary part of the complex number is -7/2.

A complex number can be expressed in the polar form in addition to the rectangular form. Complex numbers are typically expressed as z = x + iy, where 'i' is a fictitious integer. Complex numbers are described as a union of argument and modulus in polar form, however.

We know a complex form,

a + bi, where the coefficient of 'i' is the imaginary part and the rest of the part is a real part

So,

[tex]\frac{1}{2} + (\frac{-7}{2} )i[/tex]

Compared to the standard form,

-7/2 is the imaginary part.

Therefore, -7/2 is the imaginary part.

To learn more about the complex form;

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Answer:

x = 13

Step-by-step explanation:

5x + 12x - 41 = 180

17x = 221

x = 13

Answer:

1) 0.9 as fraction is:  [tex]\mathbf{\frac{9}{10}}[/tex]

2) Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22

3) t = 64

4) p=3.15

5) Volume of Cuboid = 160 m³

6) x =9

Step-by-step explanation:

1) Write as fraction: 0.9

For writing the fraction, Since we have decimal point at tent's place so we can write it as: [tex]\frac{9}{10}[/tex]

So, 0.9 as fraction is:  [tex]\mathbf{\frac{9}{10}}[/tex]

2) Solve for c =4

[tex]2 \times (c^2-5)[/tex]

Put c = 4 and find the answer

[tex]2 \times (c^2-5)\\Put\:c=4\\=2\times ((4)^2-5)\\=2\times (16-5)\\=2\times(11)\\=22[/tex]

So, Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22

3) [tex]\frac{t}{4}=16[/tex]

We need to find value of t

Multiply both sides by 4

[tex]4\times\frac{t}{4}=16\times 4\\t=64[/tex]

So, we get t = 64

4) [tex]2.4p=7.56[/tex]

We need to find value of p

Divide both sides by 2.4

[tex]\frac{2.4p}{2.4}=\frac{7.56}{2.4}\\p=3.15[/tex]

So, we get p=3.15

5) Find Volume of Cuboid

The formula used is: [tex]Volume\:of\: Cuboid=Length\times Breadth \times Height[/tex]

We have Length = 4, Breadth = 8 and Height = 5

Putting values and finding volume:

[tex]Volume\:of\: Cuboid=Length\times Breadth \times Height\\Volume\:of\: Cuboid=4\times 8 \times 5\\Volume\:of\: Cuboid=160[/tex]

So, Volume of Cuboid = 160 m³

6) [tex]3x=27[/tex]

We need to find value of x

Divide both sides by 3

[tex]3x=27\\\frac{3x}{3}=\frac{27}{3}\\x=9[/tex]

We get x =9

Answer:

Hi... Your answer is

-22d+f

Complete question is;

You have $110 to spend at the mall. You want to buy at most 6 articles of clothing. A clothing store sells shirts for $12 and pairs of pants for $18. You want to have at least $20 left over for food. Write a system of linear inequalities to represent the situation.

Answer:

x + y ≥ 6

110 - (12x + 18y) ≥ 20

Step-by-step explanation:

Let x represent number of shirts

Let y represent number of pairs of pants.

You want to buy at most 6 articles of clothing.

Thus;

x + y ≥ 6

A clothing store sells shirts for $12 and pairs of pants for $18. You want to have at least $20 left over for food.

Thus;

110 - (12x + 18y) ≥ 20

Answer:

64.8 Pounds. Maximum possible weight

Step-by-step explanation:

Answer:

B. -9

Step-by-step explanation:

3(-9)-6/3=-11

7(-9)-3/6=-11

Answer: answer is 20 questions total

Step-by-step explanation:

12 Wrong, and 8 right. 60%

Answer:

x=-11

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x = -11

Step-by-step explanation:

We use the distributive property, so, -2x - 4 = 18

We add 4 to both sides, -2x = 22

Divide both sides by negative 2 and we get our answer of -11