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Mathematics

1 answer:

alex41 [277]3 years ago

7 0

Since the triangle is cut in half, I’m guessing it’s 22.5

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A baker charges $30 for each batch of cupcakes she makes. She adds $0.09 for each frosting flower. Write an expression to repres

Lisa [10]

Answer:

$30+0.09x$

Here, $x$ denotes number of frosting flowers

Step-by-step explanation:

Let $x$ denotes number of frosting flowers.

Amount charged by baker for each batch of cupcakes = $30

Amount charged for each frosting flower = $0.09

So,

Amount charged for $x$ frosting flowers = $\$0.09x$

Therefore,

Total cost of a batch of cupcakes with frosting flowers = $30+0.09x$

8 0

3 years ago

Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$