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jekas [21]
3 years ago
12

Which of the following graph represents the solution set for 5x+38 ≤ 4(2-5x)

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

Answer:

Option C

Step-by-step explanation:

Given inequality is,

5x + 38 ≤ 4(2 - 5x)

5x + 38 ≤ 8 - 20x [Distributive property]

5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]

25x + 38 ≤ 8

(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]

25x ≤ -30

\frac{25x}{25}\leq -\frac{30}{25} [Dividing by 25 on both the sides of the inequality]

x ≤ 1.2

Therefore, Option (C) will be the correct graph.

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\The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sig
chubhunter [2.5K]

Answer:

68.26% of the parts will have lengths between 3.8 in. and 4.2 in.

Step-by-step explanation:

The lengths of a lawn mower part are approximately normally distributed

\mu = 4

Standard deviation =\sigma =0.2

We are supposed to find  What percentage of the parts will have lengths between 3.8 in. and 4.2 in . i.e. P(3.8<x<4.2)

Formula : Z=\frac{x-\mu}{\sigma}

At x = 3.8

Z=\frac{3.8-4}{0.2}

Z=-1

Refer the z table for p value

p value =0.1587

At x =4.2

Z=\frac{4.2-4}{0.2}

Z=1

Refer the z table for p value

p value =0.8413

P(3.8<x<4.2)=P(x<4.2)-P(x<3.8)=0.8413-0.1587=0.6826

So, 68.26% of the parts will have lengths between 3.8 in. and 4.2 in.

3 0
4 years ago
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Katen [24]

add all the numbers without a minus.

5 0
3 years ago
Bicillin 300,000 units Im a 12 hrs on hand 600,000 units/1.2 ml how much to give
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6 0
4 years ago
Find the slope of the line passing through the points (-6, 6) and (4. – 7).
postnew [5]

Answer:

\displaystyle -\frac{13}{10}

Step-by-step explanation:

To solve this problem, first you have to use the slope formula of \displaystyle \frac{y_2-y_1}{x_2-x_1}.

y2= (-7)

y1=6

x2=4

x1(-6)

Solve.

\displaystyle \frac{(-7)-6}{4-(-6)}=\frac{-13}{10}=\boxed{-\frac{13}{10}}

Therefore, the correct answer is -13/10.

6 0
3 years ago
Read 2 more answers
A bouquet contains 6 roses and 9 daisies. This represents 75% of the flowers in the bouquet. How many total flowers are in the b
notka56 [123]

Answer:

20 total flowers

Step-by-step explanation:

9+6=15.

20/4=5

5*3=15

The answer is 20 total flowers.

8 0
3 years ago
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