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Nana76 [90]
3 years ago
8

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan

costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?
Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer:

B

Step-by-step explanation:

The contracted phone plan will have the same steepness and a higher y-intercept.

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The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet
nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that \mu = 24.6

16% of adult women have feet that are shorter than 22 cm

This means that when X = 22, Z has a p-value of 0.16, so when X = 22, Z = -1. We use this to find \sigma

Z = \frac{X - \mu}{\sigma}

-1 = \frac{22 - 24.6}{\sigma}

-\sigma = -2.6

\sigma = 2.6

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{27.2 - 24.6}{2.6}

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

3 0
3 years ago
Does anyone know this?
Anni [7]
7,8, and 9
8 * 9 = 72
5 0
3 years ago
(2b + 3r) + (4b+ r)
Pavlova-9 [17]
Let's simplify step-by-step. 
<span><span><span><span>2b</span>+<span>3r</span></span>+<span>4b</span></span>+r</span>

Combine Like Terms: 
<span>=<span><span><span><span>2b</span>+<span>3r</span></span>+<span>4b</span></span>+r
</span></span><span>=<span><span>(<span><span>2b</span>+<span>4b</span></span>)</span>+<span>(<span><span>3r</span>+r</span>)
</span></span></span><span>=<span><span>6b</span>+<span>4r</span></span></span>

Answer:<span>=<span><span>6b</span>+<span>4<span>r</span></span></span></span>
4 0
3 years ago
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top o
Anuta_ua [19.1K]

Answer:

7.1

Step-by-step explanation:

write pythagorean theorem x^{2} + x^{2} = 10^2

2x^2 = 100

divide 2 both side:

x^{2} = 50

\sqrt{x^2} = \sqrt{50}

x = \sqrt{50}

x = 7.07106781

round to nearest tenth:

x = 7.1

8 0
3 years ago
Zoya sells insurance. She earns $10,25/hour and 8% commission on all her sales. Last week
Vlad1618 [11]

Answer:

$523.39

Explanation:

10.25 x 35 hours= 358.75

2058 x 8/100 = 164.64

358.75 + 164.64 = 523.39

8 0
2 years ago
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