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3 years ago

5x

{ { = 45}^{?} }^{2} " alt="5x { { = 45}^{?} }^{2} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

$\bf 5x=45^2\implies x=\cfrac{45^2}{5}\implies x=\cfrac{2025}{5}\implies x=405$

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g In a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained

Marat540 [252]

Answer:

95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

Step-by-step explanation:

We are given that in a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained a flu shot.

Firstly, the Pivotal quantity for 95% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of residents 65-years or older who had obtained a flu shot = $\frac{28}{111}$ = 0.25

n = sample of residents 65-years or older = 111

p = population proportion of residents who were getting the flu shot

Here for constructing 95% confidence interval we have used One-sample z test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.25-1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } }$ , $0.25+1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } }$ ]

= [0.169 , 0.331]

Therefore, 95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

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3 years ago

In a bag, Gary has 3 red marbles, 4 blue marbles, 7 yellow marbles, 5 green marbles, 6 purple marbles, and 8 clear marbles. What

miskamm [114]

Answer:

2220

Step-by-step explanation:

gcd of all numbers

3,4,7,5,6,8

2 = 3,2,7,5,3,4

2 = 3,1,7,6,3,2

2 = 3,1,7,5,3,1

3 = 1,1,7,5,1,1

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2 years ago

G(X)= 6X - 3 What is g-1 (9)

harkovskaia [24]

G(X)=6X-3
Y=6X-3
X=6Y-3
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Y=(X+3)/6
G^-1(9)=(X+3)/6
G^-1(9)=(9+3)/6
G^-1(9)=2

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3 years ago

The area of a particular rectangle is 72. If the length of the rectangle is twice

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

Suppose the width is "a". Then the length is 2a.

2(a²) =72 Divide both sides by 2

a²= 36

a=6

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KonstantinChe [14]

Answer:

number of black pencils is 17

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3 years ago