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Nastasia [14]
2 years ago
8

Find the difference. Enter your answer in lowest terms in the box below as a

Mathematics
1 answer:
lara [203]2 years ago
7 0

Answer:

  76/165

Step-by-step explanation:

The difference of fractions can be found using the formula ...

  a/b -c/d = (ad -bc)/(bd)

<h3>Difference</h3>

Using the given values in the formula, we have ...

  \dfrac{8}{11}-\dfrac{4}{15}=\dfrac{8(15)-11(4)}{11\cdot15}=\dfrac{120-44}{165}=\boxed{\dfrac{76}{165}}

Here, the difference fraction does not need to be reduced. Many calculators and spreadsheets can do this arithmetic for you.

The above formula can also be used for sums of fractions. In that case, the sign changes from minus to plus.

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ACT mathematics score for a particular year are normally distributed with a mean of 28 and a standard deviation of 2.4 points
kompoz [17]

Answer:

a.   0.1587

b.  0.8849

c.  0.1814

Step-by-step explanation:

a. Given that \mu=28, \ \ \sigma=2.4

-The probability a randomly selected score is greater than 30.4 is calculated as:

P(X>30.4)=1-P(X30.4)=1-P(z

Hence, the probability of a score greater than 30.4 is 0.1587

b. Given that \mu=28, \ \ \ \sigma=2.4

The probability a randomly selected score is less than 32.8 is calculated as:

P(X

Hence, the probability that a randomly selected score is less than 32.8 is 0.8849

c. The probability that a score is between 25.6 and 32.8 is calculated as follows:

P(25.6

Hence, the probability is 0.1814

3 0
3 years ago
A middle school has an oval track with the dimensions shown. What is the distance around the track? use 3.14 for π. show your wo
Fynjy0 [20]
Nobody can answer because we can’t see the “dimensions shown”
4 0
3 years ago
Read 2 more answers
Given the parent function f(x) = 2^x, which graph shows f(x)+1?
Naddik [55]

Step-by-step explanation:

f(x) + n - move the graph n units up

f(x) - n - move the graph n units down

f(x + n) - move the graph n units to the left

f(x - n) - move the graph n units to the right

====================================================

We have f(x) = 2ˣ.

g(x) = f(x) + 1 - move the graph of f(x) one unit up.

<em>(look at the picture)</em>

7 0
3 years ago
Explain how the graph of y = 0.5x (the solid line on the graph) differs from the graph of y = x (the dashed line)
Fittoniya [83]

Hello there. To solve this question, we'll have to see how to identify the difference between the two lines y = 0.5x (solid line) and y = x (the dashed line)

First, usually the solid line represents itself, all the values of y such that y = 0.5x.

In this case, for every value you take for x in the real line, you divide it by two and this will be its image, the line covers all the points satisfying this relation.

The dashed line usually represents inequalities, in this case, y is not equal to x.

When you have y > x, you have a dashed line and a shadowed region covering all the plane above the line.

When you have y < x, you have a dashed line and a shadowed region covering all the plane under the line.

When y is not equal to x, you only have a dashed line.

Therefore, the dashed line represents all the points in the plane such that y is equal to x, but excluding them in some sense.

8 0
1 year ago
15. What is the average low temperature forecasted
Crank
Answer:
41 degrees
step-by-step explanation:
find the mean
42 + 44 + 45 + 34 + 40
205/5
41
5 0
3 years ago
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