Find the product of monomials<br> 3a^4b^-2 and 2a^7b^-1

A triangle that contains angles of 35°, 90°, and 55° is a(n) _______ triangle. A. right B. acute C. obtuse D. equiangular

quester [9]

Since one of the angles is 90 degrees (right angle) and the other two angles are less than 90 degrees (acute angles) it is a right triangle because it cousins of right angle. Hope this helped!

4 0

3 years ago

Read 2 more answers

What does 4/7x35= plz tell me

horrorfan [7]

Basically divide by 7 times 4
35/7= 5
5 times 4= 20

5 0

3 years ago

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A ski resort gets an average of 2,000 customers per weekday with a standard deviation of 800 customers. Assume the underlying di

ladessa [460]

Answer:

0.62% probability that a ski resort averages more than 3,000 customers per weekday over the course of four weekdays

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 normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this problem, we have that:

$\mu = 2000, \sigma = 800, n = 4, s = \frac{800}{\sqrt{4}} = 400$

Trobability a ski resort averages more than 3,000 customers per weekday over the course of four weekdays.

This is 1 subtracted by the pvalue of Z when X = 3000. So

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

By the Central Limit Theorem

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

$Z = \frac{3000 - 2000}{400}$

$Z = 2.5$

$Z = 2.5$ has a pvalue of 0.9938

1 - 0.9938 = 0.0062

0.62% probability that a ski resort averages more than 3,000 customers per weekday over the course of four weekdays

3 0

3 years ago

The ratio of the diameters is 15:11. If the diameter of the smaller ball is 55cm, what is the volume of the larger ball? Round t

gizmo_the_mogwai [7]

Answer:

220,781.25 cubic cm

Step-by-step explanation:

Given ratio of the diameters = 15:11

Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11

Given that smaller one has diameter of 55cm

thus 11x = 55cm

x = 55/11 cm = 5

Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.

we know that radius is half of diameter

Radius = diameter/2

Thus radius of larger ball = 75/2 cm = 37.5 cm.

Volume of sphere is given by $(4/3)\pi r^3$

we know that ball has spherical shape

thus volume of larger ball is calculated as given below

$volume \ of \ ball = (4/3)\pi r^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = 220,781.25$