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4 years ago

How many centimeters are in 5 meters

Mathematics

2 answers:

MaRussiya [10]4 years ago

4 0

500 centimeters because one meter is 100 centimeters so I multiplied 100x5. Hope this helped have a good day

valentinak56 [21]4 years ago

4 0

500 centimeters because 1 meters equals 100 centimeters so 5 times 100 equals 500

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Brantley tosses a ball out of a window that is 60 ft in the air. Its initial velocity is 18 ft per second. The path of the ball

kow [346]

Answer:

2.58 seconds

Step-by-step explanation:

When you complete the square, you get ...

h = -16(t -9/16)^2 +60 +81/16

Then the solution for h=0 is ...

t = (x -9/16)^2 = 1041/256

t = (9 +√1041)/16 ≈ 2.57903 ≈ 2.58

It takes about 2.58 seconds for the ball to hit the ground.

7 0

3 years ago

Timothy is sorting his building blocks into 8 bins. Each bin can hold 286 blocks. He has already put 74 blocks in the bins. How

Len [333]

Answer: 2214 blocks

Step-by-step explanation:

From the question, we are told that Timothy is sorting his building blocks into 8 bins and that each bin can hold 286 blocks. Therefore, the total blocks that the bins would hold would be:

= 286 × 8

= 2288 blocks.

We are further told that he has already put 74 blocks in the bins. The number of remaining blocks that Timothy need to sort would be:

= 2288 - 74

= 2214 blocks

7 0

3 years ago

Jean Marie has $4,000 in the bank, $500 worth of credit card debt and a $15,000 student loan. Jean Marie would like to know her

Aleks [24]

4,000 in bank -500 and 15000 so she had -20000 +4000 so it equals -16000

3 0

3 years ago

Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it. You randomly ask 20 Greensboro voter

stira [4]

Answer:

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

73% of voters support it.

This means that $p = 0.73$

Sample of 20 voters

This means that $n = 20$

Mean and standard deviation:

$\mu = p = 0.73$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993$

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is

12/20 = 0.6, so this is the p-value of Z when X = 0.6.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.6 - 0.73}{0.0993}$

$Z = -1.31$

$Z = -1.31$ has a p-value of 0.0951.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

3 0

3 years ago

The discount of an item is directly proportional to the original price. The relationship is graphed in the diagram. Determine th

Leni [432]

Answer: $47

Step-by-step explanation:The solution is $47. We can translate the sentence to the equation D = kO where D is the discount and O is the original price. The function shown in the graph is y = 1/2 (1/2 is a fraction)

x. Therefore, the discount on a $94 item is $47.

6 0

3 years ago