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Anarel [89]
3 years ago
5

- 5 ( 4x + 2 ) + 2x + 1 = - 151

Mathematics
2 answers:
Viktor [21]3 years ago
6 0

Answer:

-5 * (4x + 2) + 2x + 1 = -151

-20x - 10 + 2x + 1 = -151

-18x - 9 = -151

-18x = -142

x = 71/9 = 7 8/9


ELEN [110]3 years ago
5 0

Answer:

x=140/-18

x=-7+7/9

Step-by-step explanation:

-5(4x-2)+2x+1=151

We move all terms to the left:

-5(4x-2)+2x+1-(151)=0

<em>We add all the numbers together, and all the variables</em>

2x-5(4x-2)-150=0

<em>We multiply parentheses</em>

2x-20x+10-150=0

<em>We add all the numbers together, and all the variables</em>

-18x-140=0

<em>We move all terms containing x to the left, all other terms to the right</em>

-18x=140

x=140/-18

x=-7+7/9

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A function assigns the values. The number of people that were recruited in year 6 is 192.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of people per year is represented by the function f(t)=3(2)^t.

In the given function, t represents the number of years.

Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

f(t)=3(2)^t

f(6) = 3(2)⁶

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Hence, the number of people that were recruited in year 6 is 192.

Learn more about Function here:

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4 0
1 year ago
Solve the inequality<br> <img src="https://tex.z-dn.net/?f=2%285c-7%29%5Cgeq%2010%28c-3%29" id="TexFormula1" title="2(5c-7)\geq
alina1380 [7]

1 Remove parentheses.

2(5c−7)≥c−3

2 Expand.
10c−14 ≥ c −3


3 Add 14 to both sides.
10c-14+14≥ c − 3+14


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10c≥c+11

5 Subtract c from both sides.

10c−c≥11

6 Simplify 10c−c to 9c
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​
​​
5 0
2 years ago
12 Units to the right of zero on a number line​
vredina [299]

Answer:

12

Step-by-step explanation:

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4 0
2 years ago
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IrinaVladis [17]
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3 0
3 years ago
Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, wit
Nana76 [90]

Answer:

a. 341.902.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is n\mu and the standard deviation is s = \sigma\sqrt{n}

60 days, for each day, mean 6, variance of 12.

So

\mu = 60*6 = 360

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What is the 25th percentile of her total wait time over the course of 60 days?

X when Z has a p-value of 0.25, so X when Z = -0.675.

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

-0.675 = \frac{X - 360}{26.8328}

X - 360 = -0.675*26.8328

X = 341.902

Thus, the correct answer is given by option A.

3 0
2 years ago
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