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3 years ago

What are these answers?

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

7 0

The first one is -7/5

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What divided by three equals 6

crimeas [40]

Answer:

Step-by-step explanation:

18÷3=6

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Apply the distributive property to write an equivalent expression in expanded form

iVinArrow [24]

YES! It can when you write your distributive property problem just expand it out by each part.

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In a survey of 329 people who attended a local professional soccer team’s most recent home game, 141 said that they were fans of

Verdich [7]

Answer: (0.3751,0.4821)

Step-by-step explanation:

Given : Level of significance : $1-\alpha:0.95$

Then , significance level : $\alpha: 1-0.95=0.05$

Since , sample size : $n=329$ , i.e. a large sample (n<30).

Then we use z-test.

Using excel (by going in formulas for more statistics and then statistics), Critical value : $z_{\alpha/2}=1.96$

Also, the proportion of people said that they were fans of the visiting team :-

$\hat{p}=\dfrac{ 141}{329}\approx 0.4286$

The confidence interval for population proportion is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.4286\pm(1.96)\sqrt{\dfrac{0.4286(1-0.4286)}{329}}\\\\\approx0.4286\pm0.053\\\\=(0.4286-0.0534, 0.4286+0.053=(0.3751,\ 0.4821)$

Hence, a 95% confidence interval for the population proportion of attendees who were fans of the visiting team= (0.3751,0.4821)

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3 years ago

Which graph represents the solution set of the compound inequality?<br><br> −5 < a − 4 < 2

never [62]

$-5 < a - 4 < 2\\\\ -1$

the 3rd one

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Which of the following sequences of transformation takes points J(9,1) to J'(-3,7)? A) r0eflection across x-axis and translated

Kisachek [45]

Answer: option D) translated (x,y) (x-2, y+2) and rotated 90 degrees counterclockwise about the origin.

Justification:

1) Translation (x,y) → (x - 2, y + 2) ⇒ (9, 1) → (9 - 2, 1 + 2) = (7, 3)

2) Rotation 90° counterclokwise ⇒ (x, y) → (-y, x) ⇒ (7, 3) → (-3, 7)

So, there you have the demonstration that the translation of J (9,1) according to (x,y) → (x - 2, y + 2), followed by a rotation of 90° counterclockwise produces the image J' (-3, 7).

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