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3 years ago

23, 24, 25, 26, and 27

Mathematics

1 answer:

Debora [2.8K]3 years ago

5 0

23. Option A: 4p + 175 = 375

24. $50 per monthly payment if the down payment is $175

25. Option C: 28x + 64 = 456

26. $14 for a haircut

27.
a. See the diagram attached. It was drawn on Google Drawing so obviously not to scale but you get the gist.

b.

Not quite sure what a verbal model is but with the diagram you should be able to describe it.

4 bookshelves, 2 on each side, in an entertainment center and a middle section of 30 inches wide all add up in its entirety to equal 90 inches.

c.

4x + 30 = 90

d.

4x = 60
x = 15

The bookcases are each 15 inches wide

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A big snowstorm just hit the Lehigh Valley. Mrs. Gentile needs to shovel her driveway. She shovels ⅓ of her driveway in 30 minut

Vesna [10]

Answer:

90 minutes or 1 hour and 3 minutes

Step-by-step explanation:

because for each 1/3 is 30 minutes

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3 years ago

Mr. Reeves buys granola bars to sell at the concession stand. He predicts that the concession stand will sell 25 granola bars at

Bezzdna [24]

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He should buy 4 boxes

Step-by-step explanation:

25 divided by 8 is 3.125, but you want to have enough so the least amount you can buy is 4.

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3 years ago

Read 2 more answers

Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex

Nataly [62]

Answer:

$(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942$

$(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978$

And the 90% confidence interval would be given (0.0942;0.09978).

We are confident at 90% that the difference between the two proportions is between $0.0942 \leq p_A -p_B \leq 0.09978$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion female for Biology

$\hat p_A =\frac{84199}{144796}=0.582$ represent the estimated proportion female for biology

$n_A=144796$ is the sample size for A

$p_B$ represent the real population proportion female for calculus AB

$\hat p_B =\frac{102598}{211693}=0.485$ represent the estimated proportion female for Calculus AB

$n_B=211693$ is the sample size required for B

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942$

$(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978$

And the 90% confidence interval would be given (0.0942;0.09978).

We are confident at 90% that the difference between the two proportions is between $0.0942 \leq p_A -p_B \leq 0.09978$

5 0

3 years ago

Solve the equation 1/3m+6m-9/3m=3m-3/4m

vekshin1

M
=
0

O
r

m
=
23
15

Explanation:
1
3
m
+
6
m
−
9
3
m
=
3
m
−
3
4
m

⇒
1
+
6
m
−
9
3
m
=
3
m
−
3
4
m

⇒
−
8
+
6
m
3
m
=
3
m
−
3
4
m

⇒
(
−
8
+
6
m
)
×
4
m
=
(
3
m
−
3
)
×
3
m

⇒
−
32
m
+
24
m
2
=
9
m
2
−
9
m

⇒
−
32
m
+
24
m
2
−
9
m
2
+
9
m
=
0

⇒
15
m
2
−
23
m
=
0

⇒
m
(
15
m
−
23
)
=
0

m
=
0

Or

15
m
−
23
=
0
⇒
15
m
=
23
⇒
m
=
23
15

3 0

3 years ago

A box holds 24 containers of yogurt. Each box has 4 flavors with 6 containers of each flavor. If you choose three yogurts withou

zavuch27 [327]

Answer:

3/6 or 1/2 (50%)

Step-by-step explanation:

There is 6 containers of each flavor, correct?

If you pick 3 of the same flavor, 3/6, it would look like that fraction.

If you simplify it, It'd be 1/2.

If you want it as a percent, It'd be 50%.

As a decimal, It's .50.

3 0

3 years ago