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3 years ago

13

Select the expression that is NOT equivalent to 35p+25

1 answer:

mixas84 [53]3 years ago

4 0

35p + 25

A) 5(5 + 3p + 4p)
= 25 + 15p + 20p
= 35p + 25

B) 5(15p + 5 + 20p)
= 75p + 25 + 100p
= 175p + 25

C) 5(5 + 7p)
= 35p + 25

D) 5(4p + 3p + 5)
= 20p + 15p + 25
= 35p + 25

So, in conclusion, option B is incorrect because it does not equal to: 35p + 25 whereas all the other options do.

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3 years ago

Read 2 more answers

n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that

BartSMP [9]

Answer:

<em>The calculated t- value = 1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the Population (μ) = 5.4</em>

<em>Given sample size 'n' = 9</em>

<em>Mean of the sample (x⁻) = 5.7</em>

<em>Standard deviation of the sample (s) = 0.81</em>

<u><em>Step(ii):-</em></u>

<em>Null Hypothesis: H₀:</em> The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

<em>Alternative Hypothesis : H₁:</em> μ ≠ 5.4

Level of significance = 0.025

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }$

t = 1.11

<em>Degrees of freedom </em>

<em>ν = n-1 = 9-1 =8</em>

t₀.₀₁₅ , ₈ = 2.89

<em>The calculated t- value = 1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4</em>

<em></em>

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7 0

3 years ago

Nia solved the equation -1.98 = 5.2v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do

valina [46]

Answer:

substitute for v, when v = -2.9

Step-by-step explanation:

$-1.98=5.2v+13.1$

subtract 13.1 on both sides.

$-15.08=5.2v$

divide by 5.2 to isolate v

$\frac{-15.08}{5.2} = \frac{5.2v}{5.2}$

$-2.9=v$

substitute for v

$-1.98=5.2(-2.9)+13.1$

$-1.98=-15.08+13.1$

$-1.98=-1.98$

6 0

3 years ago