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3 years ago

Write the ratio of the first measurement to the second measurement. Compare in millimeters.

Mathematics

2 answers:

larisa86 [58]3 years ago

5 0

Answer:

8:19

Step-by-step explanation:

Ball B: diameter in mm = 9.5 * 10 = 95 mm

Ratio of Ball A to Ball B = 40 : 95

= 8:19 answer

AveGali [126]3 years ago

5 0

Answer:

$\frac{A}{B}=\frac{8mm}{19mm}$

Step-by-step explanation:

A ratio is a quantified relation between two magnitudes that represent the same proportion.

In this case, those magnitudes are

$A=40mm\\B=9.5mm$

Where $A$ and $B$ are balls' diameters.

The ratio would be the quotient between them

$\frac{A}{B}=\frac{40mm}{9.5cm}$

However, this ratio isn't ratio yet, because it's not based on the same magnitude, we need to transform 9.5 centimeters to millimeters.

We know that 1 centimeter equals 10 milimeter, so, 9.5 centimeters would be

$9.5cm\frac{10mm}{1cm}=95mm$

Now, we replace this transformation in the ration, and that would be the answer

$\frac{A}{B}=\frac{40mm}{95mm}$

If we simplify,

$\frac{A}{B}=\frac{8mm}{19mm}$

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

Find the volume of each figure.

s344n2d4d5 [400]

Answer:

960

Step-by-step explanation:

Multiply 8x12x10 and you get 960

6 0

3 years ago

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Help meee will give brainly! Find the domain of the function f(x)=5x−9 . DONT SAY I DONT KNOW

Agata [3.3K]

Answer and Step-by-step explanation:

$\frac{5}{x-9}$

The domain is all real numbers except 9 (positive)

This is because we can't have 0 in the denominator, and when x equals 9, then the denominator is 0. Anything divided by 0 is undefined, which is why 9 (in this equation) is not included.

#teamtrees #WAP (Water And Plant)

7 0

3 years ago

Side BC is 4 meters long. Side CD is twice the length of the side BC. What is the length of side LM. Explain your reasoning.

Misha Larkins [42]

Answer:

LM = 18

Step-by-step explanation:

BC = 4

CD is twice that, so CD is 8

Now, remembering that the area of ABCD = 32 and JKLM = 72, divide 72 by 32.

You get 2.25. This is how much bigger JKLM is than ABCD.

Using that, multiply the length of CD (which is 8) by 2.25 to get the length of LM.

You'll get 18.

Hope this helps!

4 0

2 years ago

Which is longer 6ft or 7 in?

AveGali [126]

Hello!

1 foot = 12 inches

12 × 6 = 72
_____________________________

ANSWER:

Since there are 72 inches in 6 feet, 6 feet are greater than 7 inches.

8 0

3 years ago