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Thepotemich [5.8K]
4 years ago
13

There are 23 students in a math class. Twelve of them are boys. What is the ratio of girls to total number of students

Mathematics
2 answers:
rjkz [21]4 years ago
7 0
The ratio would be 12:11
mina [271]4 years ago
4 0
11:23 is the answer because if you subtract 12 from 23 you get 11 girls
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Answer:

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Step-by-step explanation:


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2. Find the value of x. Then, find the measure of each angle. H 3X-2 <br>I 4x-9 <br>J 3x-9​
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The correct answer js 7 i think
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The report "The New Food Fights: U.S. Public Divides Over Food Science" states that younger adults are more likely to see foods
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Solution :

$n_1=178, \hat p_1 = 0.48$

$n_2=427, \hat p_2 = 0.38$

$\hat p_1=\frac{x_1}{n_1}$

$x_1=n_1 \hat p_1$

   = 178 x 0.48

   = 85.44

    ≈ 85

$x_2=n_2 \hat p_2$

   = 427 x 0.38

   = 162.26

    ≈ 162

a). Yes, the sample sizes are large enough to use the large sample confidence interval so as to estimate the difference in the population proportions.

Let $\hat p_1 = 0.48, \ \ \hat p_2 = 0.38, n_1 = 178 \ \ n_2 = 427$

Where the $\text{subscript indicates}$ the age $18-29$ group and the 2 - subscript indicates the age $50-64$ group.

Since $n_1 \hat p_1 = 85.44$

$n_1(1- \hat p_1)=92.56, \ \ n_2\hat p_2 = 162.26, \ n_2(1-\hat p_2) = 264.74 $

are  all at least 10, the sample sizes are large enough to use the large sample confidence interval.

$P_0=\frac{x_1+x_2}{n_1+n_2}$

   $=\frac{85.44+162.26}{178+427}$

  = 0.409421

$P_0 = 0.4074$

$Q_0=1-P_0$

     = 1 - 0.4094

     = 0.5906

b). 90% confidence interval is

  $=\left( \hat p_1- \hat p_2 \pm \frac{z \alpha}{2} \times \sqrt{P_0Q_0\left(\frac{1}{n_1}+\frac{1}{n_2}}\right) \right)$

  $=\left( 0.48-0.38 \pm \frac{z \times 0.10}{2} \times \sqrt{0.4094 \times 0.5906\left(\frac{1}{178}+\frac{1}{427}}\right) \right)$

 $=(0.1 \pm z 0.05 \times 0.04387082)$

 $=(0.1 \pm 1.64 \times 0.0439)$

 $=(0.1 - 0.071996, 0.1+0.071996)$

 $=(0.028004, 0.171996)$

 $=(0.0280, 0.1720)$

c). Zero is not included in the confidence interval. Answer is no. The difference in the two population proportion are different from each other.

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HELP ME PLEASE!!!!!!!<br> 50 POINTS!!
garri49 [273]

The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

  • k - Scale factor
  • A' - Area of the rectangle R.
  • A - Area of the rectangle Q.

If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

k = √36

k = 6

Then, the scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

To learn more on scale factors: brainly.com/question/22312172

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