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WARRIOR [948]
3 years ago
12

Simplify the expression. 4y + 3( y+1) + 2 (x + 5)

Mathematics
1 answer:
Alik [6]3 years ago
5 0

Answer:

4y + 5x + 13

Step-by-step explanation:

4y + 3(y + 1) + 2(x+5)

Distribute

4y + 3y + (3 x 1) + 2x + (2 x 5)

4y + 3y + 3 + 2x + 10

Combine like terms

4y + 5x + 13

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Suppose a normal distribution has a mean of 62 and a standard deviation of4. What is the probability that a data value is betwee
saw5 [17]

SOLUTION

From the given data the mean is 62 and standard deviation is 4

It is required to find the probability that a data value is between 57 and 62

That is:

P(57\lt x\lt65)

The z scores is calculated using:

z=\frac{x-\mu}{\sigma}

Using the x values it follows:

z=\frac{57-62}{4}=-1.25

Also,

z=\frac{65-62}{4}=0.75

Thus the required probability is:

P(-1.25The proability is:[tex]P(-1.25This can be expressed as percentage as:[tex]P(-1.25\lt z\lt0.75)=66.8\%

Therefore the correct option is C

8 0
1 year ago
on a large college campus, 84% of the students report drinking alcohol within the past month, 33% report using some type of toba
Natasha_Volkova [10]

Answer:  0.31

Step-by-step explanation:

Let A denotes the event that the students report drinking alcohol and B denotes the students report using some type of tobacco product .

Given : P(A) =0.84   ; P(B)=0.33    and        P(A∪B)=0.86

We know that P(A\cap B)=P(A)+P(B)-P(A\cup B)

Then, the probability that the student both drunk alcohol and used tobacco in the past month is given by :-

 P(A\cap B)=0.84+0.33-0.86=0.31

Hence, the probability that the student both drunk alcohol and used tobacco in the past month = 0.31

5 0
3 years ago
Help first gets brainly
pentagon [3]

Answer:

1. 100        1. 150           1. 1

2.45          2. 800

Step-by-step explanation:

1. 25% * 400 = 0.25 * 400 = \frac{1}{4} * 400 = 100

2. 50% * 90 = 45

1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150

2. 10% * 8000 = 0.1 * 8000 = 800

1. 5% * 20 = 0.05 * 20 = 1

7 0
3 years ago
What is the relationship between 0.006 and 0.06?
RUDIKE [14]
They are both behind the decimal, they are both a decimal, they can both be turned into a fraction, and they both have a six
3 0
3 years ago
Please helppp mee!!!
Licemer1 [7]

Answer:

$3.50

Step-by-step explanation:

2+2x=9

2x=7

x=3.5

$3.50

6 0
3 years ago
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