How many inches are in 4 meters?

Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

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".

Part a

Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$

Where $\mu=65.5$ and $\sigma=2.6$

We are interested on this probability

$P(R$

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

$z=\frac{R-\mu}{\sigma}$

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

$P(R$

And we can find this probability using the normal standard table or excel and we got:

$P(z$

Part b

$P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

8 0

3 years ago

Read 2 more answers

The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through

damaskus [11]

the answer is 65 degrees because the line in the middle is a 180 degree angle and 180-115=65. hope this helps :)

4 0

2 years ago

Read 2 more answers

How meany people use khan for there math?

olganol [36]

Answer:

I must say i don't but i feel like it would be way easier then how my home school is doing it

3 0

2 years ago

Read 2 more answers

In the context of this null hypothesis, determine the standardized statistic from the data where of kissing couples leaned their

GalinKa [24]

is it a multiple choice?

7 0

2 years ago

Mona wrote 7 tests, and her test average is 93. There will be one more test before the end of the year. What is the lowest grade

olga55 [171]

For this case, the first thing we are going to do is assume that all the tests are worth the same.
Then, we define a variable:
x: score of Mona's last test
We write now the inequality that models the problem:
$\frac{93 + x}{2} \geq 90$
From here, we clear the value of x: $93 + x \geq 90*(2) 

93 + x \geq 180

 x \geq 180 - 93

 x \geq 87$
Answer:
the lowest grade that Mona can get for her last test so that her test average is 90 or more is:
x = 87

8 0

2 years ago