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3 years ago

Can someone please help me and explain this as soon as possible

Mathematics

1 answer:

diamong [38]3 years ago

5 0

y = -0.5 x + b

Through (1, 5.5) we get

5.5 = -0.5(1) + b

Answer: b = 6

y = -0.5x + 6

Through (3,p) we get

p = -0.5 (3) + 6 = 4.5

Through (7,n)

n = -0.5 (7) + 6 = 2.5

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It is thought that not as many Americans buy presents to celebrate Valentine's Day anymore. A random sample of 40 Americans yiel

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Answer:

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

(0.3672 , 0.7328)

Step-by-step explanation:

<u><em>Explanation:</em></u>-

Given Random sample size n =40

Sample proportion

$p = \frac{x}{n} = \frac{22}{40} = 0.55$

98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day

$(p-Z_{\alpha } \sqrt{\frac{pq}{n} } , p + Z_{\alpha } \sqrt{\frac{pq}{n} } )$

The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326

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( 0.55 - 0.1828 , 0.55 + 0.1828)

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6 0

2 years ago

Read 2 more answers

Write 305,501 in expanded form

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The ratios of corresponding sides in the two triangles are equal. What other information is needed to prove that △FGE ~ △IJH by

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solution: option B and C both are correct i.e., option C is correct i.e., ∠E ≅∠H and ∠I ≅ ∠F .

option C is correct i.e., ∠E ≅∠H.

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it is given that ratio of corresponding sides of ΔFGE and ΔIJH are equal

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$\frac{GE}{JH}=\frac{EF}{HI}$

and if ∠E ≅ ∠H

Then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.

so option C is correct i.e., ∠E ≅ ∠H.

and option B is also correct

explanation:

since it is given that

$\frac{FG}{IJ}=\frac{EF}{HI}$

And if ∠I ≅ ∠F

then ΔFGE and ΔIJH are similar by SAS (side angle side) similarity theorem.

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