Which of the following expressions represents the LCM of 91 x^2y and 104 xy^3 ?

Can someone help me?

miss Akunina [59]

Answer:

A

Step-by-step explanation:

3 0

2 years ago

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

maxonik [38]

First you need to simplify the left side of the equation to get $2x-2 \geq -12$
Then you add by two on both sides to get $2x \geq -10$
Finally you divide by 2 on both sides to get $x \geq -5$

6 0

2 years ago

HOW CAN YOU MAKE 7,5,6,AND 3 EQUAL 75 USING PARENTHESIS.

olganol [36]

<em>(7+5) x 6 + 3 = 75

75 is the answer</em>

8 0

2 years ago

An elevator has a placard stating that the maximum capacity is 1600 lb�10 passengers. So, 10 adult male passengers can have a m

Bezzdna [24]

Answer:

1. 0.7421 = 74.21% probability the elevator is overloaded.

2. D.No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.

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 establishes 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.

Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb.

This means that $\mu = 166, \sigma = 29$

Sample of 10.

This means that $n = 10, s = \frac{29}{\sqrt{10}}$

1.The probability the elevator is overloaded is?

Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So

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

By the Central Limit Theorem

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

$Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}$

$Z = -0.65$

$Z = -0.65$ has a p-value of 0.2579.

1 - 0.2579 = 0.7421

0.7421 = 74.21% probability the elevator is overloaded.

2. Does this elevator appear to be safe?

High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.

7 0

2 years ago

Explain if triangle ZHY is similar to triangle JHI . Justify your answer given the following information: HY = 3, YZ = 6, HZ = 7

mestny [16]

Yes, triangle ZHY and JHI are similar triangles because if you multiply each side on Triangle ZHY by 2, they equal the sides of the Triangle from IHJ.

For example, ZH x 2= JH , YZ x 2= IJ

6 0

3 years ago

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