If a person weighs 125 lbs, 8 oz., how many grams does s/he weigh given that 2.2 lbs=1kg?

Write a function rule using function notation that will transform a geometric figure by

dedylja [7]

Answer: (x,y) (-y,x)

Step-by-step explanation:

8 0

2 years ago

Help!!!!!!!!! i’m confused

Fofino [41]

C is the hypotenuse, which is 10.

a^2 + b^2= c^2
(6)^2 + (8)^2= (10)^2

ANSWER: B) 6^2 + 8^2= 10^2

Hope this helps! :)

5 0

4 years ago

Read 2 more answers

According to 2013 report from Population Reference Bureau, the mean travel time to work of workers ages 16 and older who did not

gregori [183]

Answer:

a) 48.80% probability that his travel time to work is less than 30 minutes

b) The mean is 30.7 minutes and the standard deviation is of 3.83 minutes.

c) 13.13% probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes

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 normally distributed samples are 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.

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.

In this question, we have that:

$\mu = 30.7, \sigma = 23$

a. If a worker is selected at random, what is the probability that his travel time to work is less than 30 minutes?

This is the pvlaue of Z when X = 30. So

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

$Z = \frac{30 - 30.7}{23}$

$Z = -0.03$

$Z = -0.03$ has a pvalue of 0.4880.

48.80% probability that his travel time to work is less than 30 minutes

b. Specify the mean and the standard deviation of the sampling distribution of the sample means, for samples of size 36.

$n = 36$

Applying the Central Limit Theorem, the mean is 30.7 minutes and the standard deviation is $s = \frac{23}{\sqrt{36}} = 3.83$

c. What is the probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes?

This is 1 subtracted by the pvalue of Z when X = 35. So

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

By the Central Limit Theorem

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

$Z = \frac{35 - 30.7}{3.83}$

$Z = 1.12$

$Z = 1.12$ has a pvalue of 0.8687

1 - 0.8687 = 0.1313

13.13% probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes

8 0

3 years ago

You are making 10 tons of concrete that is 37.9% cement by mixing a 25% cement mixture with a 68% cement mixture.

Mnenie [13.5K]

The 10 tons should have 37.9% cement.

Let the 25% mixture be x tons

Then the 68% mixture will be (10 -x) tons.

Using formula for mixtures:
Let p for percentage and w for weight in tons.

p₁w₁ + p₂w₂ = pw

25*x + 68*(10-x) = 37.9*10

25x + 680 - 68x = 379

680 - 43x = 379

680 - 379 = 43x

301 = 43x

43x = 301

x = 301/43

x = 7

Recall that x, was for the 25% mixture, 7 tons.

a) For the 68% mixture, = 10 - x = 10 -7 = 3 tons.

b) For the 25% mixture = x = 7 tons.

6 0

3 years ago

Price - $375<br> Discount - 20%<br> Total =

Yanka [14]

Answer: 20

Step-by-step explanation: since i helped can i have brainlist plesa :D

8 0

3 years ago

If a person weighs 125 lbs, 8 oz., how many grams does s/he weigh given that 2.2 lbs=1kg?​

If a person weighs 125 lbs, 8 oz., how many grams does s/he weigh given that 2.2 lbs=1kg?