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Black_prince [1.1K]
3 years ago
12

I need help ASAP plz

Mathematics
2 answers:
Sladkaya [172]3 years ago
4 0
This is a right triangle. To find the third side of a right triangle. Use the Pythagorean Theorem.
a^2+b^2=c^2
a and b are the legs, c is the hypotenuse.
a^2+7^2=16^2
a^2+49=256
Subtract 49 from both sides:
a^2=207
Square foot:
a=14.38749457 in.
Round to nearest tenth:
14.4 in
Anit [1.1K]3 years ago
3 0

Answer:

a = 14.4

Step-by-step explanation:

It's a right angled triangle. so it has to follow Pythagoras Theorem

according to it square of hypotenuse = sum of squares of other two sides

16 {}^{2}   =  {x}^{2}  + 7 {}^{2}  \\ 256 = x {}^{2}  + 49 \\ 256 - 49 = x {}^{2} \\ 207 = x {}^{2} \\ x =  \sqrt{207 }  \\ x = 14.387 \\ x = 14.4

after rounding the decimal a= 14.4 in

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A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the
Anni [7]

Answer:

8.68,13.16

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92

Standard deviation of the sample is,

\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6

The confidence interval will be,

=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}

=10.92 \pm 2.24

=8.68,13.16

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

5 0
3 years ago
How do you simplify fractions
MariettaO [177]
Divide top and bottom by any number that's fits into both of them keep doing that until it's not possible Hope that helped Have a good day! :-)
5 0
3 years ago
Read 2 more answers
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consiste
Ksenya-84 [330]

Both the sample can be used to make inferences about the population.

The correct option is D.

Given

Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000.

Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population.

<h3>Percentage;</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100.

According to the question

Total number of population = 25000

Percent of a sample of Jason = 0.24%

Percent of the sample of Yolanda's = 0.32%

So, the number of the population according to Jason's sample is given by;

=\dfrac{0.24}{100}\times 25000\\\\=0.24 \times 250\\\\=60

The number of the population according to Yolanda's sample is given by;

=\dfrac{0.32}{100}\times 25000\\\\=0.32 \times 250\\\\=80

Hence, Both the sample can be used to make inferences about the population

To know more about the percentage click the link given below.

brainly.com/question/16216214

5 0
2 years ago
A bottle contains a label stating that it contains pills with 500 mg of vitamin C, and another bottle contains a label stating t
nevsk [136]

Answer:

Step-by-step explanation:

Rejection of aspirin argument is more dangerous because the incorrect dosage of aspirin may cause more severe adverse reactions than the incorrect dosage of vitamin C. It would be prudent to use a lower level of significance to test the aspirin argument.

8 0
3 years ago
gary is making a cakerecipe that requires 3/4 cup of flour. But gary wants to make the cake half of the size that the recipe cal
vfiekz [6]

Answer:

0.375 cups or 3/8

Step-by-step explanation:

divide 3/4, or 0.75 by 2!

8 0
4 years ago
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