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2 years ago

A rectangular prism has a volume of 250 in3

Mathematics

2 answers:

DanielleElmas [232]2 years ago

6 0

Answer:

2 inches and 25 inches

Step-by-step explanation:

First you do 5 divided by 250. It gives you 50. If you do 25 times 2 it gives you 50. Hope this helps.

yulyashka [42]2 years ago

4 0

Rectangular prism is also known as cuboid. The side lengths which can be of the considered rectangular pair are given by: Option D: 2 inches and 25 inches

<h3>What is the volume of a rectangular prism?</h3>

Suppose that the rectangular prism considered has side lengths a, b, and c units.

Then its volume is given by

$V = a \times b \times c \: \rm unit^3$

For the give case, it is given that the rectangular prism in consideration has got the volume as 250 cubic inches.

Its one of the 3 sides is given to be as of 5 inches.

That means, we get:

$V = a \times b \times c \: \rm unit^3\\\\250 = 5 \times b \times c\\\text{dividing both the sides by 5}\\\\50 = b \times c$

That means, other two sides should be such that their product comes out at 50 inch squared. (since one inch dimension is lost).

For the given cases in options, we can see that only the fourth option pairs (2 inch and 25 inches) are such that their product comes out as 50 sq. inches.

(since $2 \times 25 = 50$ )

Thus, the side lengths which can be of the considered rectangular pair are given by: Option D: 2 inches and 25 inches

Learn more about rectangular prism here:

brainly.com/question/21308574

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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

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

<u>So, 95% confidence interval for the population proportion, p is ;</u>

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

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

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

= [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].

7 0

3 years ago

Slope intercept of (1,1) and (0,7)

Sonja [21]

Answer:

$\boxed {m = -6}$

Step-by-step explanation:

Use the <u>Slope Formula</u> to help you determine the slope of the following two points:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

(Where $(x_{1}, y_{1})$ is the first point and $(x_{2}, y_{2})$ is the second point)

-Apply both points onto that formula:

$(x_{1}, y_{1}) = (1, 1)$

$(x_{2}, y_{2}) = (0, 7)$

$m = \frac{7 - 1}{0 - 1}$

-Solve:

$m = \frac{7 - 1}{0 - 1}$

$m = \frac{6}{-1}$

$\boxed {m = -6}$

3 0

3 years ago

Marie is bringing bagels and cream cheese to school as a birthday snack for her class. The cost of b bagels and c packages of cr

Julli [10]

Answer:

30.5 is the answer

Step-by-step explanation:

price of 1 bagels=0.85

price of 1 cream cheese=2.5

30*0.85+2*2.5

25.5 +5

30.5

just multiply with the number of thing by the price of 1 thing

8 0

3 years ago

Read 2 more answers

A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 met

kondaur [170]

The inference that can be made about the results is that; energy drinks enhances performance during 100 meters race.

<h3>How to find inference from a given data?</h3>

From the given table and histogram, we can see that;

Group 1 average race time = 10.8

Group 2 average race time = 11.6

Thus, since group 1 drank energy drink and had faster times than group 2 without energy drinks, the inference that can be made about the results is that energy drinks has enhancing performance during 100 meters race.

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2 years ago

Please help me <br> I will give brainlist please explain

Airida [17]

So you have to graph that on to the chart i think

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3 years ago