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iVinArrow [24]
3 years ago
14

If the ratio of dogs to cats at an animal shelter is 2:5, then the number of cats is _____ times the number of dogs.

Mathematics
2 answers:
Lorico [155]3 years ago
7 0
The number of cats is 5 x 2
julsineya [31]3 years ago
4 0
To everyone dog, there are 2.5 cats

Because you take 2 and 5 and divide them both by 2
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give the length and width in whole inches of three different rectangles that each have an area of 48 in. squared
lozanna [386]
To find the length and width of 3 different rectangles that have an area of 48 square inches, you can use the factor pairs that result in 48.

The reason is that to find the area of a rectangle you multiply two dimensions.

2 in x 12 in
3 in x 8 in
4 in x 6 in

On all these either one could be the length and the other the width.
8 0
3 years ago
If two cards are randomly chosen from a standard deck, what is the probability that a 6 is chosen, replaced, and another 6 is ch
lord [1]

|\Omega|=52^2=2704\\ |A|=4^2=16\\\\ P(A)=\dfrac{16}{2704}\Rightarrow{\text{B}}

7 0
3 years ago
Which property of real numbers is shown below?
marusya05 [52]

Answer:

the answer is associative property of addition

Step-by-step explanation:

the things is no matter how you switch out the numbers you will have the same income.

8 0
3 years ago
Confidence Interval Mistakes and Misunderstandings—Suppose that 500 randomly selected recent graduates of a university were as
kvv77 [185]

Answer:

The correct 95% confidence interval is (8.4, 8.8).

Step-by-step explanation:

The information provided is:

n=500\\\bar x=8.6\\\sigma=2.2

(a)

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

CI=\bar x\pm z_{\alpha/2}\times \frac{\sigma}{\sqrt{n}}

The 95% confidence interval for the average satisfaction score is computed as:

8.6 ± 1.96 (2.2)

This confidence interval is incorrect.

Because the critical value is multiplied directly by the standard deviation.

The correct interval is:

8.6\pm 1.96 (\frac{2.2}{\sqrt{500}})=8.6\pm 0.20=(8.4,\ 8.6)

(b)

The (1 - <em>α</em>)% confidence interval for the parameter implies that there is (1 - <em>α</em>)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true there is a 95% confidence that the true parameter value is contained in this interval.

The mistake is that the student concluded that the sample mean is contained in between the interval. This is incorrect because the population is predicted to be contained in the interval.

(c)

The (1 - <em>α</em>)% confidence interval for population parameter implies that there is a (1 - <em>α</em>) probability that the true value of the parameter is included in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true mean satisfaction score is contained between 8.4 and 8.8 with probability 0.95 or 95%.

Thus, the students is not making any misinterpretation.

(d)

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the sample size is,

<em>n </em>= 500 > 30

Thus, a Normal distribution can be applied to approximate the distribution of the alumni ratings.

7 0
3 years ago
Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your
denis-greek [22]

Answer:

Yes it is parallelogram because diagonals bisect each other.

6 0
3 years ago
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