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
Fiesta28 [93]
3 years ago
10

The height of an equilateral triangle is 13 feet. The triangles area is 39 feet squared. What is the perimeter of the triangle?

Mathematics
1 answer:
cluponka [151]3 years ago
8 0

Answer:

It is 6ft

Step-by-step explanation:

The formula is

A= 1/2bh so now you would substitute

39= 1/2(13)h

78= 13h

6=h

You might be interested in
Round 1001 to the nearest thousand.
Zepler [3.9K]

1000 is the correct answer !

8 0
2 years ago
A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th
ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

H_0: \mu=500\\\\H_a:\mu< 500

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

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

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1

The degrees of freedom for this sample size are:

df=n-1=5-1=4

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0
2 years ago
Solve by factoring x^2/6-x=-5/6
Lorico [155]

Answer:

x=18

Step-by-step explanation:

6 0
2 years ago
PART B: Uber was also available for Mike to use to get home from the airport. Uber
Ber [7]

Answer:

taxi

Step-by-step explanation:

you would take the taxi because it would cost less than Uber

3 0
2 years ago
Sentence using the word compound
lorasvet [3.4K]

Becky was trying to open the door, but it was stuck,
so she asked me to compound on it with her.

4 0
2 years ago
Other questions:
  • Whats the percent difference of 154 and 440
    11·1 answer
  • Identify the exponential function below. Which of the following is the equation for this graph??
    5·1 answer
  • Polly's parents car weighs about 3500 pounds. Samantha, Esther, and pollys each wrote the weight of the car in scientific notati
    10·2 answers
  • How do I Solve This? Please help me!!
    7·1 answer
  • Expression for 10 divide into fifths from 20 divided in half
    9·1 answer
  • Which is the best deal for cream cheese?
    7·2 answers
  • What is nbr2 at the end of the program segment execution? nbr2 = 0 calc = 1 x = 7 while x &gt;=3 calc = calc * x x = x - 2
    7·1 answer
  • Pleasee help with these questions
    9·1 answer
  • G(x)=1/6(8)^x-5. x=9​
    13·1 answer
  • Gina has a spinner with five equal parts numbered one thru five. If Gina spins the spinner one time, what is the probability tha
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!