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Vedmedyk [2.9K]
2 years ago
11

3a+b=225 b=a-15 first step

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
3 0

Answer:

60 = a

Step-by-step explanation:

I attached a pic of how I got 60 = a

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The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b
ANEK [815]

Answer:

P(\bar X

And we can solve this using the following z score formula:

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

And if we use this formula we got:

z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4

So we can find this probability equivalently like this:

P( Z

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 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".  

Solution to the problem

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(63.6,2.5)  

Where \mu=63.6 and \sigma=2.5

We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

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

We want this probability:

P(\bar X

And we can solve this using the following z score formula:

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

And if we use this formula we got:

z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4

So we can find this probability equivalently like this:

P( Z

4 0
3 years ago
Ryker wants a new car. The dealership offers him a loan at 9% annual interest for 6 years. If Ryker wants to do some calculation
Contact [7]

The monthly interest rate is 0.75%

<u>Step-by-step explanation:</u>

The rate of interest= 9%

Total time = 6years

Interest rate per month = 9/12

= 0.75%

Monthly payment =cost of the car + 0.75% of cost of car

Interest per month is 0.75%

3 0
2 years ago
There are 62rows of 9 chairs in the movie theater about how many chairs are there
dem82 [27]
It's easy it's just 62×9 it equals 558
4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=3.18%20%5Cdiv%2010" id="TexFormula1" title="3.18 \div 10" alt="3.18 \div 10" align="absmiddle"
Maslowich

Answer:

0.318

Step-by-step explanation:

on division with 10, the value reduces.... decimal moves forward

on multiplication, the value increases decimal moves backward....

eg: 3.18 x 10 = 31.8

5 0
3 years ago
What is the perimeter of the fifth square in this pattern?
torisob [31]
The first square has side lengths of 4 units(because the square root of 16 is 4). The second square has side lengths of 8 units. The third square has side lengths of 12 units. As you can tell, the side lengths increase by 4. So the fourth square will have side lengths of 16 units, and the fifth square will have side lengths of 20 units. The question wants the perimeter, so the answer is 20*4(sum of 4 sides of equal lengths) which is 80 units.
5 0
3 years ago
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