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IrinaVladis [17]
3 years ago
7

Is this statement true or false -7 -2 > 6 - 14

Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

false

Step-by-step explanation:

(-7-2) > (6-14)

-7-2 = -9

6-14 = -8

-9 is not > -8, because -9 is farther to the left on a number line. So, this statement would be false.

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What he are she said.
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If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is $.
timama [110]
If a laptop originally costs $800 at purchase, and is then discounted by 10%, the remainder would be $720, given that 10% of $800 is $80. Therefore, once then applying the credit card to reduce it another $150, the final price of the laptop would come out to $570 once the deductions are considered.
4 0
3 years ago
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The Office of Student Services at a large western state university maintains information on the study habits of its full-time st
Vera_Pavlovna [14]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

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.

Mean of 20 hours, standard deviation of 6:

This means that \mu = 20, \sigma = 6

Sample of 150:

This means that n = 150, s = \frac{6}{\sqrt{150}}

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

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

By the Central Limit Theorem

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

Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}

Z = 2.04

Z = 2.04 has a p-value of 0.9793

X = 19.5

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

Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}

Z = -1.02

Z = -1.02 has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

3 0
3 years ago
At the candy store, Jonathan bought 1.74 pounds of gumdrops, 2.2 pounds of jellybeans, and 1.38 pounds of licorice. How much did
GenaCL600 [577]

Answer:

5.32 lbs

Step-by-step explanation:

add all of them together, this is common sense math you should know how to do this.

3 0
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How many solutions does this system have?*
sweet-ann [11.9K]

Answer:

1 solution

Step-by-step explanation:

y =  - 3 \\ y =  -  x - 4 \\  =  >  - 3 =  - x - 4 \\  =  >  - x - 4 + 3 = 0 \\  =  >  - x - 1 = 0 \\  =  >  - x = 1 \\  =  > x =  - 1

4 0
3 years ago
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