The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts

Solve for x 78.2+0.5x=287

diamong [38]

1. move 78.2 over to the over side. This will give you 287-78.2.

2. when you have .5x = 208.8, divide both sides by .5

3. this should give you x= 417.6

4. make sure to check your work by plugging you answer back into x.

4 0

3 years ago

Read 2 more answers

What is the domain and range of the function f(x) = x^2 -4x-5?

Tems11 [23]

F(x) = x²-4x-5, quadratic function,
Domain (the values if x) is all real numbers.

To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up. Minimum value of y =-9
Range(the values of y) is [-9, ∞)

5 0

3 years ago

What percent is 56 of 200

GrogVix [38]

Answer:

28%

Step-by-step explanation:

7 0

3 years ago

What’s the x on this triangle ?

Dmitry [639]

Answer:

x = 5

Step-by-step explanation:

x is the length of the hypotenuse of this triangle. The length of one of the legs of the triangle is 3" and that of the other leg is 4".

Applying the Pythagorean Theorem: x^2 = 3^2 + 4^2, or 25

Thus, the length x is +√25, or 5.

x = 5

7 0

2 years ago

A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa

Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

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 distributied random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$