Find the area of the base for this figure.

Readme [11.4K]

So, the problem is 2x - 3x - 2 • 1/7x ?

2x - 3x - 2 • 1/7x

So, combine like terms.

-1x - 2 • 1/7x

-1/7x • 2

The answer would be about -0.3x ?

If I’m understanding correctly.

7 0

2 years ago

Adult tickets to the crown cost $32 each World child ticket cost 15 each if a large group bought those tickets and paid $543 how

Andrei [34K]

Answer:

36

Step-by-step explanation:

543 divided by 15=36.2

rounded down to 36

5 0

4 years ago

The average score of all golfers for a particular course has a mean of 71 and a standard deviation of 3. Suppose 36 golfers play

Zielflug [23.3K]

Answer:

.0228

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:

$\mu = 71, \sigma = 3, n = 36, s = \frac{3}{\sqrt{36}} = 0.5$

Find the probability that the average score of the 36 golfers exceeded 72.

This is 1 subtracted by the pvalue of Z when X = 72. So

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

By the Central Limit Theorem

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

$Z = \frac{72 - 71}{0.5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

1 - 0.9772 = 0.0228

7 0

3 years ago

Two angles are complementary. One angle is ten less than four times the other angle. Find the measure of the larger angle

Nimfa-mama [501]

Answer:

B.70

Step-by-step explanation:

For one or two angles are complementary angle(s), they have to equal 90°.

So, we need to find the larger angle, but what about the other?

Let x be the other angle and y be the angle we are looking for

x + y = 90

Lets look for x first, since one angle is ten less than four times the angle we are looking for or visa versa, we must:

y = 4x - 10

For an exchange, lets take out the y variable for another x variable:

So now we should have x + 4x - 10 = 90

Combine like terms and do cross equation :

x + 4x -10 = 90

5x - 10 = 90

Add 10 to both sides:

5x = 100

100/5 = 20

So x=20

Now for y which is what we are looking for,

y = 4x - 10

Since x is 20, plug it in

y = 80 - 10

y=70 is our larger angle

5 0

3 years ago

John and James live 0.7 km apart. If John takes 25cm steps, then how many steps would it take him to walk from his house to Jame

ExtremeBDS [4]

1km___100000cm

0.7km___X=7000cm

(0.7*100000)/1=7000

25cm___1 step

7000cm___X=280 steps

(7000*1)/25= 280

8 0

3 years ago