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meriva
2 years ago
8

Please solve quickly ​

Mathematics
1 answer:
Crazy boy [7]2 years ago
5 0

Answer:

75.36

hope this helps :)

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We are interested in the amount that students study per week. Suppose you collected the following data in hours {4.4, 5.2, 6.4,
olga nikolaevna [1]

Answer:

Step-by-step explanation:

Hello!

The objective is to estimate the average time a student studies per week.

A sample of 8 students was taken and the time they spent studying in one week was recorded.

4.4, 5.2, 6.4, 6.8, 7.1, 7.3, 8.3, 8.4

n= 8

X[bar]= ∑X/n= 53.9/8= 6.7375 ≅ 6.74

S²= 1/(n-1)*[∑X²-(∑X)²/n]= 1/7*[376.75-(53.9²)/8]= 1.94

S= 1.39

Assuming that the variable "weekly time a student spends studying" has a normal distribution, since the sample is small, the statistic to use to perform the estimation is the student's t, the formula for the interval is:

X[bar] ± t_{n-1;1-\alpha /2}* (S/√n)

t_{n-1;1-\alpha /2}= t_{7;0.975}= 2.365

6.74 ± 2.365 * (1.36/√8)

[5.6;7.88]

Using a confidence level of 95% you'd expect that the average time a student spends studying per week is contained by the interval [5.6;7.88]

I hope this helps!

3 0
3 years ago
Read 2 more answers
63:27 is equivalent to?
Scilla [17]

Answer:

7:3

Step-by-step explanation:

63:27

Divide both sides by 9

63 ÷ 9 : 27 ÷ 9

7:3

And you cannot simplify it anymore.

Hope this helped!

Have a superclaifragilisticexpialidocious day!

4 0
2 years ago
Read 2 more answers
Help please! show work
e-lub [12.9K]
Your answers are
A = 35.7°
B = 67.6°
C = 76.7°

cosine law

a^2 = b^2 + c^2 -2bc \cos A \\
-2bc \cos A = a^2 - b^2 - c^2 \\ \\
\cos A = \dfrac{a^2 - b^2 - c^2}{-2bc} \\ \\
A = \cos^{-1}\left[ \dfrac{a^2 - b^2 - c^2}{-2bc} \right] \\ \\
A = \cos^{-1}\left[ \dfrac{12^2 - 19^2 - 20^2}{-2(19)(20)} \right]  \\ \\
A = 35.723697

A = 35.723697
sine law for the rest of the angles

\displaystyle
\frac{\sin B}{b} = \frac{\sin A}{a} \\ \\
\sin B = \frac{b \sin A}{a} \\ \\
B = \sin^{-1} \left[ \frac{b \sin A}{a}  \right] \\ \\
B = \sin^{-1} \left[ \frac{19 \sin 35.723697 }{12}  \right]  \\ \\
B \approx 67.58886795

B = 67.58886795
All angles in triangle sum to 180 so find C with that

A + B + C = 180
C = 180 - A - B
C = 180 - 35.723697 - 67.58886795
C = 76.7°

7 0
3 years ago
What is the value of the expression when a = 5, b = 4 , and c = 6?⁢
snow_tiger [21]

Step-by-step explanation:

9 +6=15-6=9

so your answer should be 9

mark me brainliest lol

5 0
2 years ago
Read 2 more answers
EVERYONE LISTEN!!!! RESEND THIS MESSAGE AND TELL EVERYONE YOU KNOW If you know youdeservetodie (that is his brainly username) th
wlad13 [49]

Answer:

Yes mam

Step-by-step explanation:

8 0
3 years ago
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