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3 years ago

Factor p^2-8p-20 plz help

Mathematics

1 answer:

Kamila [148]3 years ago

3 0

What 2 numbers multiply to get -20 and add to get -8
-10 and 2

(p-10)(p+2)

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Marshall's mom buys 2 boxes of granola bars each week. each box contains 8 granola bars. if she continues buying 2 boxes each we

sukhopar [10]

She buys 2 boxes each week for a year (there is 52 weeks in a year) = 2 x 52 = 104 boxes per year
if each box contains 8 granola bars...and she buys 104 boxes, then she buys:
104 * 8 = 832 granola bars

6 0

3 years ago

a minor league baseball team plays 114 games in a season. if the team won 14 more than three times as many games as they lost, h

Rainbow [258]

They will have played with 19 loses 76 wins !

7 0

3 years ago

In 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alc

Fynjy0 [20]

Answer:

We conclude that the proportion of adults who totally abstain from alcohol has changed.

Step-by-step explanation:

We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"

Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in

Let p = proportion of adults who totally abstain from alcohol.

where, p = $\frac{429}{1100}$ = 0.39

So, Null Hypothesis, $H_0$ : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}

Alternate Hypothesis, $H_A$ : p $\neq$ 39% {means that the proportion of adults who totally abstain from alcohol has changed}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who totally abstain from alcohol = $\frac{352}{1100}$ = 0.32

n = sample of adults surveyed = 1100

So, test statistics = $\frac{0.32-0.39}{\sqrt{\frac{0.32(1-0.32)}{1100} } }$

= -4.976

The value of z test statistics is -4.976.

Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.

4 0

3 years ago

Yoon has a number of dimes and quarters she wants to put into rolls. She has 124 coins in all that add up to $20.50. If a roll o

Xelga [282]

A) D + Q = 124
B) .10D + .25Q = 20.50

Multiply B) by -4
B) -.40D + -Q = -82.00 then add to A)
A) D + Q = 124

.60 D = 42
D = 70 Dimes
Q = 54 Quarters

A roll of quarters = $10 = 40 Quarters so there will be 14 "extra" quarters.

5 0

3 years ago

The area of rectangle ABCS

dangina [55]

54 because i got that a b and dc equal 6 and ad and bc equal 9

8 0

3 years ago