Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear

Answer:

x= 70

Step-by-step explanation:

These are supplementary angles

45+2x-5 = 180

Combine like terms

40+2x= 180

Subtract 40 from each side

40+2x-40 =180-40

2x= 140

Divide by 2

2x/2 =140/2

x = 70

Answer:

C

Step-by-step explanation:

Hope this helps

Answer:

C

Step-by-step explanation:

Wednesday hope this helps!

Answer:

Test statistic t = 5.25

P-value = 0.000002 (one-tailed test)

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=7\\\\H_a:\mu> 7[/tex]

The significance level is 0.05.

The sample has a size n=49.

The sample mean is M=8.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√s^2=√4=2.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{49}}=0.29[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{8.5-7}{0.29}=\dfrac{1.5}{0.29}=5.25[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=49-1=48[/tex]

This test is a right-tailed test, with 48 degrees of freedom and t=5.25, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>5.25)=0.000002[/tex]

As the P-value (0.000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

Answer:

21.b

22.c

Step-by-step explanation:

idk how to explain it lol I did mental math

Answer:

The 95% confidence interval for the true mean is between $0 and $342,729

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1448

The margin of error is:

M = T*s = 2.1448*81000 = 173,729.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 169,000 - 173,729 = -4,... = $0(cannot be negative)

The upper end of the interval is the sample mean added to M. So it is 169,000 + 173,729 = $342,729

The 95% confidence interval for the true mean is between $0 and $342,729

Answer:

103.5

Step-by-step explanation:

Multiply x on both sides

xtan12 = 22

Now divide tan12 to isolate x

x = (22) / (tan(12))

Now we know that calculator should be in degree mode because the answer choices do not have the radian mode answer. When your calculator is in Degree mode and you calculate this value you get approximately 103.5

The value of x if tan 12 = 22/x is 103.5

Given the trigonometric expression:

tan 12 = 22/x

We need to get the value of "x"

Cross multiply

x tan12 = 22

x = 22/tan12

x = 22/0.2126

x = 103.529

Hence the value of x if tan 12 = 22/x is 103.5

Learn more here: https://brainly.com/question/25618616

Answer:

i hope this helps you

The Equation of the line is 2y = -x.

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Given Points of the line are (0,0) and (4,-2).

Since we are given two points.

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\\\\\\(y - (-2)) = \dfrac{-2- 0}{4 - 0} (x -4)\\\\\\(y - (-2)) = \dfrac{-1}{2} (x -4)\\\\2(y + 2) =-1(x -4)\\\\2y + 4 = -x + 4\\\\2y = -x\\\\[/tex]

Therefore, Equation of the line is 2y = -x.

Learn more about linear equations here:

https://brainly.com/question/27465710

#SPJ2

Answer:

x = -3        x=8

Step-by-step explanation:

(x+3)(x-8)=0

Using the zero product property

x+3 =0   x -8 = 0

x = -3        x=8

Answer:

Step-by-step explanation:

The test to use is the t-test of independent means.

To determine the cutoff for the study then you need to find the degree of freedom and the alpha level. After the hypothesis testing, the calculated t value is then compared to the critical t value from the t distribution table using the degrees of freedom.

Answer:

the first one

Step-by-step explanation:

I just took it on edge.

Answer:

It is B just took the unit quiz

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

Since RPS and QPR make up QPS, the sum of their angle measures must be 47. Therefore:

3x-38+7x-95=47

10x-133=47

10x=180

x=18

QPR=7(18)-95=126-95=31

Hope this helps!

Answer:

Step-by-step explanation:

The median female *less than*

The range of female*less than*

Which birth weight:*minimum*

Answer:

The median female birth weight is

✔ less than

the median male birth weight.

The range of female birth weight is

✔ less than

the range of male birth weight.

Which birth weight measure is the same for both genders?

✔ minimum

Step-by-step explanation:

I think there should be 5 capsicums because

4 times onions = 5 x 4 = 20

Then 5 capsicums = 20 + 5 = 25

Answer:

A large pizza has toppings of capsicum and onion. In total there are 36 pieces of both on the pizza .If there are 5 times as many onions pieces as capsicum pieces,how many of each vegetable are there on the pizza?

Step-by-step explanation:

Can you please help with this one

Answer:

A whole number that can be made by multiplying other whole numbers.

Example: 18 can be made by 3 × 6 so is a composite number.

16 can be made by 4 x 4 so it is a square root and a composite number

14 can be made by 2 x 7 so is is a composite number.

It is not a prime number as all Composite Number have factors other than 1 and itself). The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16,

Answer:

We need to examine the natural numbers.

The natural numbers are the counting numbers,

1, 2, 3, 4, 5, 6, ...

The number 1 is neither prime nor composite.

All natural numbers greater than 1 are either prime or composite.

A prime number is a number that has exactly two factors, itself and 1.

A composite number has more than 2 factors.

A composite number is a natural number greater than 2 that is not a prime number.

Examples:

Prime: 2, 3, 5, 7, 11, ...

Composite: 4, 6, 8, 9, 10, 12, ...

Answer:

3 1/2 gallons of water is 56 cups

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

1 gallon=4cups

1/2 gallon=2cups

3*4=12

or 4cups+4cups+4cups=12

12+2=14

Answer:

A) k=1

Step-by-step explanation:

5-k+12=16

17-k=16

k=1

Answer:

k=1

Step-by-step explanation:

5-k+12=16

Combine like terms

17 - k = 16

Subtract 17 from each side

17-k-17 = 16-17

-k = -1

Divide by -1

k = 1

Answer:

6

Step-by-step explanation:

Answer:

The lower end of the interval is above 0.5, which means that it provides evidence that a majority of visitors to Niagara Falls are from the United States

Step-by-step explanation:

We want to see if the majority of Niagara Falls visitors are from the United States.

Looking at the confidence interval

We have to see if the lower end of the interval is higher than 0.5.

In this question:

The 95% confidence interval to estimate the true proportion of visitors to Niagara Falls that are from the United States was (0.5216, 0.6784).

The lower end of the interval is above 0.5, which means that it provides evidence that a majority of visitors to Niagara Falls are from the United States

PROOF:

[tex]y^4-(y^2-9)(y^2+9)\\=y^4 -(y^4-81)\\=y^4-y^4+81\\=81[/tex]

And 81 is ALWAYS divisible by 9

Answer:

Its 9*9

Step-by-step explanation:

The equation equals 81 and 9*9=81.

Have a great day! :)

Answer:

1: Glide

2: Reflection

3: Reflection

Step-by-step explanation:

1): The first one is glide because you are just moving the triangle and not changing anything to the angle and the size.

2): The second one is a reflection because you are reflecting across an invisable line. Basicly think of it as a mirror. In the picture below, you can see the line of reflection.

3): The third one is also a reflection for the same reason as the second, (view attached image below for line of reflection.

Answer:

X=0,X=-3/7

Step-by-step explanation:

7x^2+3x=0

x(7x+3)=0

x=0

7x+3=0

7x=-3

x=-3/7.

Answer:-3/7

Step-by-step explanation:

Firstly add -3x to both sides of equation. 7x^2+3x-3x=0+-3x

7x^2=-3x

Divid both sides by X

7x^2/X=-3/X

7x=-3

Divid both sides by 7

7x/7=-3/7

X=-3/7

Answer:

The p-value obtained is less than the significance level at which the test was performed at, hence, we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Step-by-step explanation:

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the new medicine has no negative effects and the alternative hypothesis is that the new medicine is potentially harmful

Mathematically,

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p > 0

To do this test, we will use the z-distribution because although no information on the population standard deviation is known, the sample size is large enough.

So, we compute the test statistic

z = (x - μ)/σₓ

x = sample proportion = (31/3000) = 0.0103

μ = p₀ = 0

σₓ = standard error = √[p(1-p)/n]

where n = Sample size = 3000

σₓ = √[0.0103×0.9897/3000] = 0.0018462936 = 0.0018463

z = (0.0103 - 0) ÷ 0.0018463

z = 5.60

checking the tables for the p-value of this test statistic

Significance level = 1% = 0.01

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for z = 5.60, at 0.01 significance level, with a one tailed condition) = < 0.00001

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = < 0.00001

p-value < 0.00001 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to conclude that the the new medicine is potentially harmful.

Hope this Helps!!!

Answer:

d. 85%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The higher the confidence level, the higher the value of z, which means that the margin of error will be higher and the interval will be wider,

Which confidence interval would be the narrowest?

The one with the lowest confidence level. So the answer is d.

Answer:

B. 8

Step-by-step explanation:

The question lacks the required diagram. Find the diagram in the attachment.

Before we can find d21, d22 and d23, we need to get the matrix D first as shown in the attached solution.

On comparison as shown in the attachment, d21 = 11, d22 = -10 and d23 = 7

Note that d21 refers to element in the second row and first column of the matrix

d22 is the element in the second row and second column of the matrix

d23 is the element in the second row and third column of the matrix

d21+d22+d23 = 11-10+7

d21+d22+d23 = 8

The second option is correct.

Answer:

  G(x) = x^2 -10x +25

Step-by-step explanation:

To translate F(x) 5 units to the right, replace x with (x-5).

  G(x) = F(x-5) = (x -5)^2

  G(x) = x^2 -10x +25

Answer:

hope this helps you

Answer:

37.5

Step-by-step explanation:z

2.0-1.25=0.75

0.75/2.00 x 100

37.5% decrease

Answer:

  x = 0

Step-by-step explanation:

Given

Karissa begins to solve the equation ...

  [tex]\dfrac{1}{2}(x-14)+11=\dfrac{1}{2}x-(x-4)[/tex]

Her work is correct and is shown below. Three lines of math.

  [tex]\dfrac{1}{2}(x-14)+11=\dfrac{1}{2}x-(x-4)\qquad\text{given}\\\\\dfrac{1}{2}x-7+11=\dfrac{1}{2}x-x+4\qquad\text{eliminate parentheses}\\\\\dfrac{1}{2}x+4=-\dfrac{1}{2}x+4\qquad\text{collect terms}[/tex]

When she subtracts 4 from both sides, the result is ...

  [tex]\dfrac{1}{2}x=-\dfrac{1}{2}x[/tex]

Find

What is the value of x?

Solution

Karissa can determine the value of x by adding 1/2x to both sides:

  [tex]x=0[/tex]

Answer:

Option C (0)

Step-by-step explanation:

Answer:

The expected number of customers that pay more for the service is 4 and the standard deviation is 1.55.

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they are willing to pay more for the service, or they are not. Customers are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

40% of the customers are willing to pay more for the service.

This means that [tex]p = 0.4[/tex]

Now we have selected 10 customers randomly.

This means that [tex]n = 10[/tex]

What are the expected value and standard deviation

[tex]E(X) = np = 10*0.4 = 4[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.4*0.6} = 1.55[/tex]

The expected number of customers that pay more for the service is 4 and the standard deviation is 1.55.

Answer:

538

Step-by-step explanation:

l x w

7x39

12x20

5x5

538