A carpenter worked 34 hours a week for half a year. If her hourly wage was $20, how much did she earn during this time period?

A worker has dug 5 holes for a fence post. It will take 20 minutes to dig each addional

anzhelika [568]

Answer:

it 100

Step-by-step explanation:

firs take the zero then time with the 5 it would give 10 n

then add the zero so 100

5 0

2 years ago

Factor the polynomial.<br><br> X2-13x+30

Svetllana [295]

Answer:

<h2> $\ \boxed{(x - 3)(x - 10)}$ </h2>

Step-by-step explanation:

${x}^{2} - 13x + 30$

Write -13x as a difference

${x}^{2} - 3x - 10x + 30$

Factor out x from the expression

$x(x - 3) - 10x + 30$

Factor out -10 from the expression

$x(x - 3) - 10(x - 3)$

Factor out x-3 from the expression

$(x - 3)(x - 10)$

Hope I helped!

Best regards!!

4 0

2 years ago

What is the smallest six-digit number you can make that is divisible by five

Crank

it's 100000

hope this helps!! :)

3 0

2 years ago

Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an

Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

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 establishes 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.

We have:

Mean $\mu$ , standard deviation $\sigma$ .

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

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

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of $Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$ , in which $\mu$ is the mean life expectancy, $\sigma$ is the standard deviation and n is the size of the sample.

8 0

2 years ago

225 g flour

Pachacha [2.7K]

If she needs to use 225g of flour for each cake and wants to make 18 cakes she will need 4050g (225x18=4050) of flour but she only has 360g which is obviously not enough flour. For one cake she needs 75g of sugar and since she needs to make 18 cakes she needs 1350g (75x18=1350) of sugar. She only has 135g so it’s not enough.

8 0

3 years ago