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3 years ago

Need help with this question please!!

Mathematics

1 answer:

lara31 [8.8K]3 years ago

7 0

Answer:

C. 1/2

There are many ways to do this but I'll use substitution.

Step-by-step explanation:

Bottom equation yields x = 4 - 8y

plug that into the top equation results in:

4(4 - 8y) - y = 3y + 7

Simplify this to find y:

-36y = -9

y = 1/4

Plug that into the bottom equation we get:

x = 4 - 2 = 2

Thus, xy = 2(1/4) = 1/2 (C)

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So soft ball bags are on clearance for an additional 30% off the sales price Finley finds one size:it was originally $70.00,but

KonstantinChe [14]

Answer:

$35

Step-by-step explanation:

50 * 30% = 15$ discount

50 - 15 = 35$ cost

30% discount is additional so based off sales price

5 0

3 years ago

If A is the midpoint of line segment LH and B is the midpoint of line segment LJ, then what is AH? 20,9,11,33?

Effectus [21]

Answer:

Answer is 33. Got it right in my quiz

Step-by-step explanation:

5 0

3 years ago

Elderly drivers. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed driver

katrin [286]

Answer:

(a) Hence, the margin of error reported by The Marist Poll was correct.

(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.

It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.

(a) Margin of error formula is given by;

Margin of Error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

where, $\alpha$ = level of significance = 1 - 0.95 = 0.05 or 5%

Standard of error = $\sqrt{\frac{\hat p(1-\hat p)}{n} }$

Also, $\hat p$ = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%

n = sample of American adults = 1.018

The critical value of z for level of significance of 2.5% is 1.96.

So, Margin of Error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

= $1.96 \times \sqrt{\frac{0.66(1-0.66)}{1,018} }$ = 0.03 or 3%

Hence, the margin of error reported by The Marist Poll was correct.

(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;

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

So, 95% confidence interval for p = $\hat p \pm \text{Margin of error}$

= $0.66 \pm 0.03$

= [0.66 - 0.03 , 0.66 + 0.03]

= [0.63 , 0.69]

Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.

7 0

4 years ago

Make t as the subject of the formula. P = d + 15t

il63 [147K]

Answer:

$t=\frac{P-d}{15}$