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timurjin [86]
3 years ago
10

Cory earns 52.50 in 7 hours. find the unit rate

Mathematics
2 answers:
faust18 [17]3 years ago
6 0

divide the two:

52.50 / 7 = 7.50 per hour

san4es73 [151]3 years ago
6 0
52.50/7= 7.5  you can check this answer by multiply it with 7
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If two angles are equal, then the two angles are obtuse.

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3 years ago
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The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2inches.a. Wha
Charra [1.4K]

Answer:

a)P(X>66)=P(Z>1)=1-P(Z

b)P(\bar X >66)=P(Z>2)=1-P(Z

c) P(\bar X >66)=P(Z>10)=1-P(Z

Step-by-step explanation:

1) 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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations 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".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(64,2)  

Where \mu=64 and \sigma=2

We are interested on this probability

P(X>66)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>66)=P(\frac{X-\mu}{\sigma}>\frac{66-\mu}{\sigma})=P(Z>\frac{66-64}{2})=P(Z>1)

And we can find this probability on this way:

P(Z>1)=1-P(Z

3) Part b

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

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

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{4}}}=2)

And using a calculator, excel or the normal standard table we have that:

P(Z>2)=1-P(Z

4) Part c

P(\bar X >66)=P(Z>\frac{66-64}{\frac{2}{\sqrt{100}}}=10)

And using a calculator, excel or the normal standard table we have that:

P(Z>10)=1-P(Z

3 0
3 years ago
usan is a waitress at the country club restaurant. She receives an automatic 15% tip which is added to the members check for the
yulyashka [42]

Answer:

The total amount paid to Usan (gross pay) is $416.75

Step-by-step explanation:

15% (tip) per dollar. There are 325 dollars here.

Usan earns $2.15 an hour. There are 20 hours here.

15% times 325 --- 325 * 1.15 (we are adding the tip right away by having the one in front of the .15)

1.15*325 = 373.75

2.15 times 20

2.15*20 = 43

-------------------

373.75 + 43 = 416.75

$416.75


8 0
3 years ago
Based on this example, make a
Mnenie [13.5K]

Answer:

Step-by-step explanation:

  1. There are 4 of them (acute angles that is)
  2. Those 4 are less than 90 degrees.
  3. They have supplementary angles which are greater than 90 degrees.
  4. There are 4 of them also.
  5. The total number of angles should be 8 if there are 2 parallel lines and 1 transversal.
6 0
2 years ago
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