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Reptile [31]
3 years ago
8

Simplify and Show all of your work please!

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer:

\Huge \boxed{\mathrm{9}}

Step-by-step explanation:

\Rightarrow \displaystyle \frac{18 \div 2 *  3}{5-2}

Dividing first.

\Rightarrow \displaystyle \frac{9 *  3}{5-2}

Multiplying and subtracting.

\Rightarrow \displaystyle \frac{27}{3}

Division.

\Rightarrow 9

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A city councilwoman is concerned that the new contractor she hired is taking too long to replace defective streetlights. She wou
satela [25.4K]

Answer:

There is significant evidence to conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.

Step-by-step explanation:

Given the data :

6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7

The hypothesis:

H0: μ = 3.2

H1 : μ > 3.2

n = sample size = 12

The sample mean, xbar = ΣX / n

xbar = 53.2 / 12

xbar = 4.43

Using calculator;

Sample standard deviation, s = 2.147

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(4.43 - 3.2) ÷ (2.147/sqrt(12)

1.23 / 0.6197855

Test statistic = 1.985

The Pvalue using the Pvalue from Tscore calculator :

Tscore = 1.985 ; df = 12 - 1 = 11

Pvalue = 0.036

Since Pvalue < α ; We reject the Null

Hence, we conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.

5 0
2 years ago
There are 15 girls in the class and 8 boys. Lauren says that the ratio of girls to boys is equivalent to 30 : 18. Is Lauren corr
masya89 [10]

Answer:

No

Step-by-step explanation:

If 15 x 2=30 and 8x2=16 not 18 it’s incorrect

3 0
3 years ago
Read 2 more answers
Please help and I’ll give branliest answer to the person who’s most descriptive
raketka [301]

A. 5×2×8×10

The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times. This results in the formula: Volume = side * side * side.

Have a great day (:

4 0
3 years ago
Read 2 more answers
1. What is the price per pencil if 145 pencils cost $12.00? (unit rate) *
nevsk [136]

Answer:

$12.08

Step-by-step explanation:

divide 145 by 12 and BOOM, you get 12.08

3 0
2 years ago
For f(x)=2x+1 and g(x)=x^2-7, find (f+g)(x) A. 2x^2-15 B.X^2+2x-6 C.2x^3-6 D.x^2+2x+8
Advocard [28]

Answer:

C

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= 2x + 1 + x² - 7 ← collect like terms

= x² + 2x - 6 → C

5 0
3 years ago
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