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3 years ago

Answers: A. 2 B. 2/3 C. 1/2 D. 1/4

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

6 0

Answer: 2

Step-by-step explanation:

AB= 8, DE=4

8/4= 2

BC= 4, EF=2

4/2= 2

AC= $\sqrt{208}$ , DF= $\sqrt{52}$

$\sqrt{208}$ / $\sqrt{52}$ = 2

laila [671]3 years ago

5 0

Answer:

A. 2

Step-by-step explanation:

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The first three terms of a sequence are given. Round to the nearest thousandth (if

Fofino [41]

Answer:

19683

Step-by-step explanation:

1. find the ratio

this is geometric so..

54÷18=3

18÷6=3

2. set up the problem

3(3)^9-1

3^8= 6561

6561(3)=19683

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3 years ago

A random sample of 15 of the 78 competitors at a middle school gymnastics competition are asked

bija089 [108]

Answer: 60

Step-by-step explanation:

mean: you just add all 15 numbers then divide the number you get by 15.

55+57+57+58+59+59+59+59+59+61+62+62+63+64+66=900

900/15=60

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3 years ago

The radius of a circle is 17 millimeters. What is the circle's circumference? Use 3.14 for .

zvonat [6]

Answer:

14.616

Step-by-step explanation:

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3 years ago

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the c

Ivan

The total possibilities can be 756 ways.

<h3>What is combination?</h3>

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

Given:

The number of ways in which we can select atleast 3 men in the committee are 756.

Number of men = 7

Number of women = 6

Number of people that should be selected in the committee = 5

Now,

N(M = 3) = 7C_3* 6C_2

=35*15

=525

N(M = 4) = 7C_4* 6C_1

=35*6

=210

N(M = 3) = 7C_5* 6C_0

=21*1

=21

So, total possibilities can be = 525 + 210 + 21 = 756 ways.

learn more about combination here:

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7 0

2 years ago

A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a day waiting period to purchase

il63 [147K]

Answer:

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

Step-by-step explanation:

The question is incomplete. The complete question is:

"A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purchase a gun?” Results from a random sample of US citizens showed that 318 of the 520 men who were surveyed supported this proposed law while 379 of the 460 women sampled said ‘‘yes”. Use this information to find a 90% confidence interval for the difference in the two proportions, pm - pw. Subscript pm is the proportion of men who support the proposed law and pw is the proportion of women who support the proposed law. (Round answers to 3 decimal places.)"

We want to calculate the bounds of a 90% confidence interval.

For a 90% CI, the critical value for z is z=1.645.

The sample of men, of size nm=-0.26 has a proportion of pm=0.612.

$p_m=X_m/n_m=318/520=0.612$

The sample 2, of size nw= has a proportion of pw=0.824.

$p_w=X_w/n_w=379/460=0.824$

The difference between proportions is (pm-pw)=-0.212.

$p_d=p_m-p_w=0.612-0.824=-0.212$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_m+X_w}{n_m+n_w}=\dfrac{318+379}{520+460}=\dfrac{697}{980}=0.711$

The estimated standard error of the difference between means is computed using the formula:

$s_{pm-pw}=\sqrt{\dfrac{p(1-p)}{n_m}+\dfrac{p(1-p)}{n_w}}=\sqrt{\dfrac{0.711*0.289}{520}+\dfrac{0.711*0.289}{460}}\\\\\\s_{pm-pw}=\sqrt{0.00039+0.00045}=\sqrt{0.001}=0.029$

Then, the margin of error is:

$MOE=z \cdot s_{pm-pw}=1.645\cdot 0.029=0.0477$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.212-0.0477=-0.260\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.212+0.0477=-0.165$

The 90% confidence interval for the difference between proportions is (-0.260, -0.165).

6 0

3 years ago