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3 years ago

Combine like terms to create an equivalent expression. 4\left(1.75y-3.5\right)+1.25y4(1.75y−3.5)+1.25y

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

4 0

Answer:

8.25y + 14

Step-by-step explanation:

Given the expression

$4\left(1.75y-3.5\right)+1.25y$

We are to simplify it as shown

Open the parenthesis

4(1.75y) - 4(3.5) + 1.25y

7y - 14 + 1.25y

Collect the like terms

7y + 1.25y - 14

8.25y + 14

Hence the required expression is 8.25y + 14

Jobisdone [24]3 years ago

4 0

Answer:

8.25y−14

Step-by-step explanation:

Use the distributive property to multiply the

4start color #ff00af, 4, end color #ff00af into the parentheses.

Hint #22 / 4

(

1.75

−

3.5

)

1.25

=4(1.75y−3.5)+1.25yempty space, start color #ff00af, 4, end color #ff00af, left parenthesis, 1, point, 75, y, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y

⋅

(

1.75

)

⋅

(

−

3.5

)

1.25

=4⋅(1.75y)+4⋅(−3.5)+1.25yequals, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, 1, point, 75, y, right parenthesis, plus, start color #ff00af, 4, end color #ff00af, dot, left parenthesis, minus, 3, point, 5, right parenthesis, plus, 1, point, 25, y [Explain]

−

1.25

=7y−14+1.25yequals, 7, y, minus, 14, plus, 1, point, 25, y

Hint #33 / 4

−

1.25

=7y−14+1.25yequals, start color #6495ed, 7, end color #6495ed, y, minus, 14, plus, start color #6495ed, 1, point, 25, end color #6495ed, y

(

1.25

)

−

=(7+1.25)y−14equals, left parenthesis, start color #6495ed, 7, end color #6495ed, plus, start color #6495ed, 1, point, 25, end color #6495ed, right parenthesis, y, minus, 14 [Explain]

8.25

−

=8.25y−14equals, 8, point, 25, y, minus, 14

Hint #44 / 4

The expanded expression is

8.25

−

8.25y−14

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Answer:

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Step-by-step explanation:

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Answer:

The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance

The null hypothesis is accepted at a 0.05 level of significance

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Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 934

Given that the population proportion P = 0.51

Q= 1-P

Q = 1- 0.51 = 0.49

The sample proportion

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Level of significance = 0.05

Critical value Z₀.₀₅ = 1.96

Step(ii):-

Null hypothesis: P < 0.51

Alternative Hypothesis : P > 0.51

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

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Z = 1.5950

Final answer:-

Given that P-value 0. 0532

P-value > 0.05

Rejected Alternative Hypothesis and accepted null hypothesis

( OR)

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The null hypothesis is accepted at a 0.05 level of significance

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