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4 years ago

4. The volume of a spherical balloon with a radius of 3.1 cm is about 125 cm3. Estimate the volume of a

Mathematics

1 answer:

Greeley [361]4 years ago

7 0

Answer:

1,000cm

Step-by-step explanation:

I just did the practice. I got it right.

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Wrapping paper is on sale at 3 rolls for $4.25. How many rolls can Danika buy with $20?

Helga [31]

Answer:

He could buy 4 rolls. With a left over of $3. That 3 dollars cannot buy one more since it is not enough. 4.25 x 4 = 17.00

Step-by-step explanation:

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4 years ago

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Sophia is designing a piece of square art that must be four feet on each side. Which method could she use to most accurately det

vagabundo [1.1K]

Answer:

sophia could use a ruler with centimeter markings to measure the artwork.sophia could use a 10' long tape measure to measure the artwork.sophia could use a scale to measure the artwork.sophia could count the number of steps it takes to walk around the artwork.

Step-by-step explanation:

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3 years ago

Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an avera

hoa [83]

Answer:

The probability is $P(X < 12) = 0.99286$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 12 \ oz$

The standard deviation is $\sigma = 0.1 \ oz$

The sample mean is $\= x = 12.1 \ oz$

The sample size is n = 6 packs

The standard error of the mean is mathematically represented as

$\sigma_{\= x } = \frac{\sigma}{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{0.1}{\sqrt{6} }$

$\sigma_{\= x } = 0.0408$

Given that the can’s contents follow a Normal distribution then then the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

$P(X < 12) = P ( \frac{X - \mu }{ \sigma_{\= x }} < \frac{\= x - \mu }{ \sigma_{\= x }} )$

Generally $\frac{X - \mu }{ \sigma_{ \= x }} = Z (The \ standardized \ value \ of \ X )$

$P(X < 12) = P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }} )$

substituting values

$P(X < 12) = P ( Z < \frac{12.2 -12 }{0.0408} )$

$P(X < 12) = P ( Z < 2.45 )$

From the normal distribution table the value of $P ( Z < 2.45 )$ is

$P (Z < 2.45)0.99286$

=> $P(X < 12) = 0.99286$

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3 years ago

Find x<br><br> This is a kite from geometry

kolezko [41]

Answer:

x=6

Step-by-step explanation:

Solve for x.

5x-15 = 2x+3

(Move the 2x to the other side of the equation.)

3x-15= 3

(Move the 15 to the right side of the equation.)

3x=18

(Divide both sides by 3 to isolate the variable.)

x=6

I hope this helps!

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3 years ago

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denis23 [38]

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3 years ago

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