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2 years ago

What is a correct interpretation of the statement, "the ratio of dogs to cats is 7 to 2"?

2 answers:

7 0

The ratio of dogs to cats
7 to 2
Let’s look at the answers and cross out some of them

A seems valid, 7/2= 3.5

So B is wrong because 7 is the number of dogs not the number of total animals.

C is wrong because this is a ratio, and if the ratio is 7:2 then there could be 14:4 dogs and cats. 14 — 4 isn’t 5. We are not certain there are exactly this much dogs and this much cats.

D) For every 7 dogs there are 2 cats. 7/2 is dogs divided by cats, while 2/7 is cats divided by dogs

So the correct answer is A

makkiz [27]2 years ago

7 0

7/2 3.5 according to my calculations it’s A

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Find the radius and diameter of a circular puddle whose

o-na [289]

Answer:

$r = 35cm$

Step-by-step explanation:

Given

$C = 220cm$

$\pi = \frac{22}{7}$

Required

Determine the radius

Circumference (C) is calculated as:

$C = 2\pi r$

Where r represents radius

Substitute values for C and $\pi$

$220cm = 2 * \frac{22}{7} * r$

$220cm = \frac{44}{7} * r$

Multiply through by 7/44

$\frac{7}{44} * 220cm = \frac{7}{44} * \frac{44}{7} * r$

$r = \frac{7}{44} * 220cm =$

$r = \frac{7 * 220cm }{44} =$

$r = \frac{1540\ cm}{44}$

$r = 35cm$

<em>Hence, the radius is 35cm</em>

6 0

3 years ago

Refer to the accompanying data set and construct a % confidence interval estimate of the mean pulse rate of adult females; the

ivolga24 [154]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval of mean pulse rate for adult female is $71.98 < \mu < 79.88$

The 95% confidence interval of mean pulse rate for adult male is $62.89 < \mu < 70.57$

The correct option is C

Step-by-step explanation:

Generally the sample mean for Male pulse rate is mathematically represented as

$\= x_1 = \frac{\sum x_i }{n}$

= > $\= x_1 = \frac{81 + 74 + \cdots + 59 }{40 }$

= > $\= x_1 = 66.73$

Generally the standard deviation for male pulse rate is mathematically represented as

$\sigma_1 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }$

=> $\sigma_1 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (74 - 66.73 )^2+ \cdot + (59 - 66.73 )^2 }{40-1 } }$

=> $\sigma_1 = 12.24$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma_1 }{\sqrt{n} }$

=> $E = 1.96 * \frac{12.4 }{\sqrt{40} }$

=> $E =3.84$

Generally 95% confidence interval is mathematically represented as

$\= x_1 -E < \mu < \=x_1 +E$

=> $66.73 -3.84 < \mu < 66.73 +3.84$

=> $62.89 < \mu < 70.57$

Generally the sample mean for Female pulse rate is mathematically represented as

$\= x_2 = \frac{\sum x_i }{n}$

= > $\= x_2 = \frac{81 + 94 + \cdots + 73 }{40 }$

= > $\= x_2 = 75.93$

Generally the standard deviation for Female pulse rate is mathematically represented as

$\sigma_2 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }$

=> $\sigma_2 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (94 - 66.73 )^2+ \cdot + (73 - 66.73 )^2 }{40 } }$

=> $\sigma_2 = 12.73$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma_2 }{\sqrt{n} }$

=> $E = 1.96 * \frac{12.73 }{\sqrt{40} }$

=> $E =3.95$

Generally 95% confidence interval is mathematically represented as

$\= x_2 -E < \mu < \=x_2 +E$

=> $75.93 -3.95 < \mu < 75.93 + 3.95$

=> $71.98 < \mu < 79.88$

8 0

2 years ago

Please answer this correctly

GREYUIT [131]

Answer:

$8.82

Step-by-step explanation:

4.6 (1.15) + 0.5 (1.12) + 2.25 (1.32)

5.29 + 0.56 + 2.97

8.82

8 0

3 years ago

a polynomial function has -5<img src="https://tex.z-dn.net/?f=%5Csqrt%7B3t%7D" id="TexFormula1" title="\sqrt{3t}" alt="\sqrt{3t}

Goshia [24]

Answer:

$5 \sqrt{3}i$

Step-by-step explanation:

Assuming one root of a polynomial function is

$- 5 \sqrt{3} i$

Then the other root is

$5 \sqrt{3}i$

The reason is that , complex roots of polynomial functions occur in pairs.

One complex root is the conjugate of the other.

This means that, if

$x - yi$

is a root, then

$x + yi$

is also a root.

8 0

3 years ago

Quick anyone know the answer to this problem?

Basile [38]

Answer:

the final option: -2x to the power of nine

Step-by-step explanation:

honestly i'm in 20 minutes of sleep so i really hope you don't need the explanation

-the tired korean

5 0

3 years ago

Read 2 more answers

What is a correct interpretation of the​ statement, "the ratio of dogs to cats is 7 to​ 2"?

What is a correct interpretation of the statement, "the ratio of dogs to cats is 7 to 2"?