1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elena L [17]
2 years ago
8

Select all the correct answers. What is the length of side PQ in this figure?

Mathematics
2 answers:
Mars2501 [29]2 years ago
6 0

Answer:

7.2 or \sqrt{ 52

Step-by-step explanation:

its the right answer

alukav5142 [94]2 years ago
4 0

Answer:

  C.  √52

Step-by-step explanation:

Call the base of the altitude point T. The Pythagorean theorem tells you the square of QT is ...

  QT² +TR² = QR²

  QT² = QR² -TR² = 5² -3² = 25 -9 = 16

It also tells you that PQ satisfies ...

  QT² +TP² = PQ²

  PQ² = 16 +6² = 16 +36 = 52 . . . . . substitute known values

  PQ = √52 . . . . . . . take the square root

You might be interested in
Pam spelled 68 of 100 words correctly on the pretest how Many words dos the Miss? If she learns 8 of those each day how long wil
solmaris [256]
It would take 4 days
5 0
3 years ago
Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to
attashe74 [19]

Answer:

a) Null hypothesis:\mu \leq 30.2  

Alternative hypothesis:\mu > 30.2  

b) X \sim N(\mu=32.12, \sigma=4.83)

And the distribution for the random sample is given by:

\bar X \sim N(\mu=32.12, \frac{\sigma}{\sqrt{n}}=\frac{4.83}{\sqrt{50}}=0.683)

c) t=\frac{32.12-30.2}{\frac{4.83}{\sqrt{50}}}=2.81    

p_v =P(t_{(49)}>2.81)=0.0035  

d) If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly higher than 30.2.  

e) The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct. And for this case is a value to accept or reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation  

\bar X=32.12 represent the sample mean  

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =30.2 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

a. Define the parameter and state the hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 30.2 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \leq 30.2  

Alternative hypothesis:\mu > 30.2  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

b. Define the sampling distribution (mean and standard deviation).

Let X the random variable who represent the variable of interest. And we know that the distribution for X is:

X \sim N(\mu=32.12, \sigma=4.83)

And the distribution for the random sample is given by:

\bar X \sim N(\mu=32.12, \frac{\sigma}{\sqrt{n}}=\frac{4.83}{\sqrt{50}}=0.683)

c. Perform the test and calculate P-value

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{32.12-30.2}{\frac{4.83}{\sqrt{50}}}=2.81    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=50-1=49  

Since is a one right tailed test the p value would be:  

p_v =P(t_{(49)}>2.81)=0.0035  

d. State your conclusion.

If we compare the p value and the significance level assumed \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly higher than 30.2.  

e. Explain what the p-value means in this context.

The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct. And for this case is a value to accept or reject the null hypothesis.

6 0
3 years ago
A box of cereal states that there are 87 calories in a 3​-4cup serving. What is the unit rate for calories per​ cup? How many ca
riadik2000 [5.3K]

Answer: for 2 cups, There are 232 Calories.

Step-by-step explanation:

Step 1

Let the calories in one cup be represented as C

 Therefore

3/4 x C = 87 calories

C = 87 X 4 / 3 = 116

unit rate is 116 calories per cup.

Step 2- Solving the number of calories in 2 cups

1 cup serving = 116 calories

2 cups servings = 116 x 2= 232 calories

3 0
3 years ago
70 is 30% of what number?
ExtremeBDS [4]

Answer: 233.33.

Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.

5 0
2 years ago
Read 2 more answers
An isosceles right triangle has a hypotenuse length that can be modeled with the function h(x) = sqaure root of 2 The combined
larisa [96]

The legs are defined by L(x) = 2x. The Hypotenuse if defined by h(x) = L(x)\cdot \sqrt{2}. The perimeter is defined by:

p(x) = h(x)+2\cdot L(x) \\~\\p(x) = L(x)\cdot\sqrt{2} +2\cdot L(x) \\~\\p(x) = L(x)\cdot\left(\sqrt{2}+2\right) \\~\\p(x) = 2x\cdot\left(\sqrt{2}+2\right) \\~\\p(x)= 2\sqrt{2}x+4x

D. P(x) = 2x √2 + 4x

8 0
2 years ago
Read 2 more answers
Other questions:
  • First use front end rounding to estimate the answer. Then multiply to find the exact answer.
    9·2 answers
  • store announced that their $500 appliances were on sale for $475 what is the percent discount on the appliances
    5·1 answer
  • How many metres are there in one and three quarter killometres
    9·1 answer
  • Use table to compute the product below.
    13·1 answer
  • I need the step to solving this please.
    15·1 answer
  • Find the GCF of -10c2d and 15cd2.
    13·1 answer
  • The length of a rectangular garden is 6 feet longer than its width. The garden's perimeter is 180 feet. Find the length of the g
    12·1 answer
  • Finn collected 4 3/8 pounds of newspaper for the recycling drive, Neil collected 2 times as
    7·1 answer
  • Help meeeeeeeeeeeeeee
    12·1 answer
  • Question 7. evaluate the expression
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!