Find the length of YZ

Mathematics

2 answers:

Anettt [7]2 years ago

6 0

Answer: 11.42

Step-by-step explanation: Pythagorean Theorem

Makovka662 [10]2 years ago

3 0

Answer:

11.42

Step-by-step explanation:

3,4,5 and 8,3,sqrt(55)

around 11.42

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Please help me its a propotional question and answer of Z Y X

tino4ka555 [31]

Since the only two corresponding side you have are 10 units and 4 units, you can divide these two numbers to get the scale factor.

10÷4=2.5

next you find the sides corresponding to X Y and Z and if it is on the bigger figure you divide, if it is on the smaller side you multiply

X corresponds with 5 (so ×2.5)
Y corresponds with 8 (÷2.5)
Z corresponds with 10 (÷2.5)

final answer is X=12.5 Y=3.2 Z=4

I try to explain the question and give the answer, I hope this helps!

5 0

3 years ago

A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Ratling [72]

Answer:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

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

$P(z>1.61)=1-P(z$

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".

Solution to the problem

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

$X \sim N(10.5,0.3)$