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gavmur [86]
3 years ago
13

A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelt

ers collectively house 1,485 dogs each year. About how many dogs in all of the city's animal shelters are puppies?
Mathematics
1 answer:
inysia [295]3 years ago
7 0

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = 1485\times\dfrac{10}{55}=270

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

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Kim has exactly enough money to buy 40 oranges at 3x cents each. If the price rose to 4x cents per orange, how many oranges coul
olganol [36]

53.3

Step-by-step explanation:

Make an equation.

40y = 3x

zy=4x

Substitute y

3 0
3 years ago
I hope someone can help me here please don't answer nonsense!​
Wittaler [7]

Answer:

  282°

Step-by-step explanation:

The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.

__

<h3>value of x</h3>

The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.

  2∠KLM = arc KM

  2(5x -1) = 8x +14

  10x -2 = 8x +14 . . . . . . eliminate parentheses

  2x = 16 . . . . . . . . . . add 2-8x

  x = 8 . . . . . . . . . divide by 2

<h3>measure of arc KM</h3>

The expression for the measure of arc KM can be evaluated.

  arc KM = 8x +14 = 8(8) +14 = 78°

<h3>measure of arc KLM</h3>

The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:

  arc KM +arc KLM = 360°

  arc KLM = 360° -arc KM

  arc KLM = 360° -78° = 282°

The measure are long arc KLM is 282°.

7 0
2 years ago
The sum of a number and 11
fgiga [73]

Hello!

The sum of a number and 11:

Let's say that the number is x. So the expression "the sum of a number and x" looks like this:

x+11

Hope this helps you!

~Just an emotional teen who listens to her favourite songs

SilentNature

8 0
3 years ago
Read 2 more answers
Which one of the following statements contains a quotient
Assoli18 [71]
You didn’t list any statements
5 0
3 years ago
A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 ​respondents,
RoseWind [281]

Answer:

The statement that​ "the margin of error was given as \pm5 percentage​ points" means that the population proportion is estimated to be with a certain level of confidence, within the interval \hat{p} \pm 0.05 ; where \hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05 is likely to contain the true population percentage of people that prefer chocolate pie.

Step-by-step explanation:

The margin of error for proportions is given by the following formula:

z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

z_{\alpha /2} is the critical value that corresponds to the confidence level; the confidence level being 1-\alpha,

\hat{p} is the sample's proportion of successes,

n is the size of the sample.

In this exercise we have that \hat{p}=0.14 and that the margin of error is 0.05.

Therefore if we replace in the formula to calculate the confidence interval we get:

\hat{p}\pm 0.05=0.14\pm0.05=(0.09, 0.19)

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).

7 0
3 years ago
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