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lyudmila [28]
3 years ago
5

I need help on 11 and 12 and you don’t need to graph it

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer:

Part 11) see the explanation

Part 12) The graph in the attached figure

Step-by-step explanation:

Part 11)

Let

x ----> the number of tickets is section A (cost $50 each)

y ----> the number of tickets is section B (cost $40 each)

we know that

At most means "less than or equal to"

x+y\leq 10 ----> inequality A

50x+40y\leq 450 ----> inequality B

Using a graphing tool

The solution is the shaded area

see the attached figure N 1

Three possible combinations are the points

(0,10),(5,5),(9,0)

That means

(0,10) ----> They buy 0 seats in section A and 10 seats in section B

(5,5) ----> They buy 5 seats in section A and 5 seats in section B

(9,0) ----> They buy 9 seats in section A and 0 seats in section B

Part 12)

Let

x ----> the number of hours Kendra works as a babysitter

y----> the number of hours Kendra works providing technical support

we know that

x+y\leq 80 ----> inequality A

At least means "greater than or equal to"

10x+15y\geq 1,000 ----> inequality B

using a graphing tool

The solution is the triangular shaded area

The graph in the attached figure N 2

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sleet_krkn [62]

Answer:

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Step-by-step explanation:

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2 years ago
5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ
mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

<em>Let </em>\hat p<em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

               Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           p = population proportion = 48%

           n = sample of voters = 500

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the sample proportion will be greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.50) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } } ) = P(Z < 0.89) = 0.8133

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.</em>

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0
3 years ago
A scale model of a human heart is 16ft long. The scale is 32:1. How many inches long is the actual heart it represents?
melisa1 [442]
0.5 or 6 inches
The model=32
Actual size=1

32/1= 16/?
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4 0
3 years ago
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Sav [38]

Answer:

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Not sure about the second one

hope this helps

Step-by-step explanation:

8 0
3 years ago
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