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4 years ago

george makes $12 per hour. If his weekly wages are $402, how many hours does he work per week. Translate into a equation.

Mathematics

1 answer:

PilotLPTM [1.2K]4 years ago

6 0

Answer:

The answer is 33 hours and 30 minutes or 33.5 hours.

Step-by-step explanation:

The equation woulds be 12h=w, which h=hours worked and w=weekly wages. 12*33.5=402, so that means that George works 33 hours and 30 minutes.

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I posted this 2 hours ago can someone pls help?

nikdorinn [45]

Answer:

0.314 gallon is required to cover a circular region with a radius of 40 feet

Step-by-step explanation:

Given

a gallon of paint will cover about 400 square feet in a single coat

To Find:

Number of gallons required to cover a circular region with a radius of 40 feet = ?

Solution:

Step 1: Finding Area of the circular region

The area of the circular region, A = $\pi r^2$

where r is the radius

Now substituting r = 40 , we get

A = $\pi \times 40$

$A = 125.6 ft^2$

Step 2: Finding the number of gallons of paint required

To cover 400 sq feet = 1 gallon

so to cover 1 square feet = $\frac{1}{400}$ gallon

Now to cover 125.6 ft we need

$125.6 \times \frac{1}{400}$

$\frac{125.6}{400}$

=> 0.314 gallon

4 0

3 years ago

Consider a parent population with mean 75 and a standard deviation 7. The population doesn’t appear to have extreme skewness or

Aleks04 [339]

Answer:

a) $\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)$

b) Since the sample size is large enough n>30 and the original distribution for the random variable X doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

c) $P(\bar X \leq 77)=P(Z$

d) See figure attached

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable of interest. We know from the problem that the distribution for the random variable X is given by:

$E(X) = 75$

$sd(X) = 7$

We take a sample of n=40 . That represent the sample size

Part a

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is also normal and is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)$

Part b

Since the sample size is large enough n>30 and the original distribution for the random variable X doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

Part c

In order to answer this question we can use the z score in order to find the probabilities, the formula given by:

$z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}$

And we want to find this probability:

$P(\bar X \leq 77)=P(Z$

We can us the following excel code: "=NORM.DIST(1.807,0,1,TRUE)"

Part d

See the figure attached.

8 0

3 years ago

Simplified version of -12x + 3y = -3?

damaskus [11]

20 I think!

Look it up just to be sure

4 0

3 years ago

Read 2 more answers

True or false? Rates can be adjusted for different time periods. If you know how many parts can be made in an hour, then you can

julsineya [31]

Answer:

True

Step-by-step explanation:

The whole point of units conversion is to take a value expressed in one set of units (parts per hour) and translate it to a different set of units (parts per week). The rate does not have to involve time.

The statement is TRUE.

3 0

3 years ago

What is the square root of 4

Masja [62]

Answer:

√4 = 2

Because 2 × 2 = 4

If you want to get square root of any number find the number which you can multiply two times to give you that certain number

8 0

3 years ago