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3 years ago

To the nearest tenth, find the area of a circle with adiameter of 8 meters. Use 3.14

Mathematics

1 answer:

raketka [301]3 years ago

3 0

Answer:

50.27

Step-by-step explanation:

A=1/4πd^2

A = 1/4(3.14)8^2

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Step-by-step explanation:

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3 years ago

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If 48% of a number, n, is 40.32, what is 20% of n?

jok3333 [9.3K]

Answer:

Step-by-step explanation:

48% of n = 0.48n = 40.32

n = 84

20% of n = 0.20*84 = 16.8

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3 years ago

The algebraic form of an arithmetic sequence is 5n-2<br>a) What is its common difference?

Alexxandr [17]

Answer:

Step-by-step explanation:

[math]

U_{n} = 5n - 2 \\

Common Difference = U_{n+1} - U_{n} \\

= [5(n + 1) - 2] - [5n - 2] = [5n + 5 - 2] - [5n - 2]\\

= 5n + 5 - 2 - 5n + 2\\

= 5

[/math]

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3 years ago

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud

iris [78.8K]

Answer:

$-0.048$

Do not reject $H_0:P_1-P_2=0$

Step-by-step explanation:

From the question we are told that

Sample size $n_1=350$

Sample size $n_2=250$

Sample proportion 1 $\hat P= \frac{25}{350} =>0.07$

Sample proportion 2 $\hat P= \frac{19}{250} =>0.076$

95% confidence interval

Generally for 95% confidence level

Level of significance

$\alpha = 1-0.95=>0.05$

$\alpha /2=\frac{0.05}{2} =>0.025$

Therefore

$Z_a_/_2=1.96$

Generally the equation for confidence interval between $P_1 - P_2$ is mathematically given as

$(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }$

$(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }$

$(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }$

$(-0.006)\pm 0.042$

$(-0.006)- 0.042=>-0.048$

$(-0.006)+ 0.042=>0.036$

Therefore

Confidence interval is

$-0.048$

Conclusion

Given the confidence interval has zero

Therefore do not reject $H_0:P_1-P_2=0$

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2 years ago

I need help with this please

Harlamova29_29 [7]

-12y+14-9y=14
-21y=0
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3 years ago

To the nearest tenth, find the area of a circle with adiameter of 8 meters. Use 3.14 ​

To the nearest tenth, find the area of a circle with adiameter of 8 meters. Use 3.14