A bakery offers a sale price of $3.45 for 4 muffins. What is the price per dozen?

Mathematics

1 answer:

Vlad [161]2 years ago

3 0

Answer:

Cost of 4 muffins = $3.45

Cost of 12 muffins = (3 sets of x 4 muffins = 12)

Cost of 3 sets of muffins = $3.45 x3 = $10.35

Step-by-step explanation:

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An after-school care facility tries to maintain a 2-to-1 ratio of children to adults. If the facility hired five adults, what is

astra-53 [7]

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

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3 0

2 years ago

Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro

astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 96, \sigma = 15.7$