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4 years ago

What 5 divided by 125.

Mathematics

2 answers:

Fofino [41]4 years ago

7 0

0.04, or if you mean 125 divided by 5, the answer would be 25. I hope this helps you! :D

yuradex [85]4 years ago

4 0

The answer is 0.04 its that easy

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A hot tub is being filled with water at a rate of 50 gallons per hour. Marcia's hot tub holds 400 gallons of water. The function

kodGreya [7K]

Answer:

<h3>5 hours</h3>

Step-by-step explanation:

Given the expression for the amount of water needed to completely fill the hot sub expressed as;

H(x) = 400 – 50x

x is the total number of hours

To get the number of hours it has been filling if it is still has 150 gallons to go, we will substitute h(x) as 150 and find x as shown;

150 = 400 - 50x

150 - 400 = -50x

-250 = -50x

x = -250/-50

x = 5

Hence it has been filling for 5 hours

7 0

3 years ago

Describe the sampling distribution of x-bar for samples of size 20 drawn from a normal population with a mean of 50 and standard

LUCKY_DIMON [66]

If the original population has a Normal distribution, then the distribution of the sample mean is also Normal.
If we extract random samples of size n from a population with half a μ and standard deviation σ, then the distribution of the sample mean will have the following parameters:
μ_Xbar = μ
σ_Xbar = σ/ √(n).

Where:
μ = 50
σ = 4
n = 20
So:
μ_Xbar = 50
σ_Xbar = 0.8944

3 0

4 years ago

The probability of flu symptoms for a person not receiving any treatment is 0.038. In a clinical trial of a common drug used to

alexgriva [62]

Answer:

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 1164, p = 0.038$

$\mu = E(X) = np = 1164*0.038 = 44.232$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = 6.5231$

Estimate the probability that at least 47 people experience flu symptoms.

Using continuity correction, this is $P(X \geq 47 - 0.5) = P(X \geq 46.5)$ , which is 1 subtracted by the pvalue of Z when X = 46.5.

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

$Z = \frac{46.5 - 44.232}{6.5231}$

$Z = 0.35$

$Z = 0.35$ has a 0.6368

1 - 0.6368 = 0.3632

36.32% probability that at least 47 people experience flu symptoms. This is not an unlikely event, so this suggests that flu symptoms are not an adverse reaction to the drug.

6 0

3 years ago

Charlies goal is to use less than 50 gallons of water per day.His water bill for the month showed that he used 1,524 gallons of

Akimi4 [234]

Charlie did not meet his goal because he used more than 50 gallons per day.

Step-by-step explanation:

Let, x be the number of gallons.

Charlies goal is to use less than 50 gallons of water per day.

x < 50

Gallons used in a month= 1524 gallons of water

Time = 30 days

Gallons used per day = $\frac{1524}{30}$

Gallons used per day = 50.8 gallons per day.

Charlie did not meet his goal because he used more than 50 gallons per day.

Keywords: division, inequality

Learn more about inequalities at:

#LearnwithBrainly

8 0

3 years ago

Draw a bar model that shows a pen is 4 times as long as an araser is 1 1/3

Andru [333]

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models.

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4 years ago