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Reil [10]
4 years ago
7

Christina goes to the market with $50. She buys one papaya for $8 and spends the rest of the money on bananas. Each banana costs

$6. How many bananas can Christina purchase?
Billy goes to the store. He has $90. He wants to purchase a leather jacket for $45, a hat for $10, and the rest on jeans. Each pair of jeans costs $35. How many pairs of jeans can Billy purchase?
Mathematics
1 answer:
velikii [3]4 years ago
4 0
Christina can buy 7 bananas because one papaya is 8 dollars and then you do 50-8=42 and then 42/6 which equals 7.

Billy can only buy one pair of jeans. The reason is that jeans are 35 bucks and he has already spent  55 dollars on a hat and jacket and that leaves him with 35 bucks left so 35-35 equals zero!
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In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%
lions [1.4K]

Answer:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

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 represent the real population proportion of interest

\aht p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution  

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

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:  

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

And replacing into equation (b) the values from part a we got:  

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

6 0
3 years ago
Sam reads 30 pages of a book in 40 minutes. Which statement identifies a person with the same reading rate as Sam?
zavuch27 [327]

Answer:

Choice 3

Step-by-step explanation:

The reading rate of Sam is 0.75 pages/minute.

i.e 30 pages/40 minutes

The reading rate of Bill is 0.5 pages/minute

The reading rate of Francine is 0.72 pages/minute

The reading rate of Leroy is 0.75 pages/minute which is the same as Sam's.

7 0
3 years ago
Find the midpoint of the segment with the given endpoints K(-2,-4) and L(-4,6)
Ilia_Sergeevich [38]

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8 0
3 years ago
Read 2 more answers
Are angles congruent when their side measures are the same
Mkey [24]

Answer:

I don't believe so because congruent shapes are exactly the same but a side measurement could be the same on a square and a triangle but those aren't congruent shapes


I hope this helped!


4 0
3 years ago
The expression P(4, 3) is equal to:<br> -3!<br> -4!<br> - 1
nexus9112 [7]

Answer:

P(4,3) = 4!

Step-by-step explanation:

Given

P(4,3)

Required

Solve

Using permutation formula;

P(n,r) = \frac{n!}{(n-r)!}

This implies that

P(4,3) = \frac{4!}{(4-3)!}

P(4,3) = \frac{4!}{(1)!}

P(4,3) = \frac{4!}{1!}

P(4,3) = \frac{4!}{1}

P(4,3) = 4!

6 0
3 years ago
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