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3 years ago

-4(y - 2) = 12 solve for y, thanks

Mathematics

2 answers:

andrezito [222]3 years ago

8 0

Answer:

-1

Step-by-step explanation:

-4(y-2)=12

-4y+8=12

-4y=4

y= -1

Brut [27]3 years ago

3 0

-1
-4y+8=12
-8= -8
-4y=4
-1

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

BartSMP [9]

Answer:

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

Null hypothesis is rejected

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

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ) = 5.4

Given sample size 'n' = 9

Mean of the sample (x⁻) = 5.7

Standard deviation of the sample (s) = 0.81

Step(ii):-

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

H₀: μ = 5.4

Alternative Hypothesis : H₁: 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

Degrees of freedom

ν = n-1 = 9-1 =8

t₀.₀₁₅ , ₈ = 2.89

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

Null hypothesis is rejected

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

7 0

3 years ago

A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below.

algol [13]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

3 0

3 years ago

Please help!!! Keep in mind the triangles aren’t to scale!!!

Varvara68 [4.7K]

Answer = 5

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3 years ago

The pentagon shown has 5 equal sides. The side lengths are represented by the expression 9k+4. What is the perimeter?

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