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larisa [96]
3 years ago
15

Which of the following is true about the function below?

Mathematics
1 answer:
zzz [600]3 years ago
6 0
Domain is -10 range is 0
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What’s the area of this figure?
Ivan

Answer:

C. 155.5 cm2

Step-by-step explanation:

area = 5*15 + (15+8)*7/2 = 75 + 80.5 = 155.5 cm2

3 0
3 years ago
Assume that the population of human body temperatures has a mean of 98.6 degrees F and a standard deviation of 0.62 degrees F. I
dimulka [17.4K]

Answer:

0% probability of getting a mean temperature of 98.2 degrees F or lower.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be 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 problem, we have that:

\mu = 98.6, \sigma = 0.62, n = 106, s = \frac{0.62}{\sqrt{106}} = 0.06

Find the probability of getting a mean temperature of 98.2 degrees F or lower.

This is the pvalue of Z when X = 98.2. So

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

Z = \frac{98.2 - 98.6}{0.06}

Z = -6.67

Z = -6.67 has a pvalue of 0.

So there is a 0% probability of getting a mean temperature of 98.2 degrees F or lower.

8 0
3 years ago
A boat travels 32 miles on 4 gallons of fuel. How many miles per half gallon is that?
Firdavs [7]
The answer is 4 miles
7 0
3 years ago
The probability of an event - picking teams. About (a) 10 kids are randomly grouped into an A team with five kids and a B team w
LuckyWell [14K]

Answer: The required probability is \dfrac{4}{9}

Step-by-step explanation:

Since we have given that

Number of kids = 10

Number of kids in Team A = 5

Number of kids in Team B = 5

There are three kids in the group, Alex and his two best friends Jose and Carl.

So, number of favourable outcome is given by

2(\dfrac{8!}{3!\times 5!})

Total number of outcomes is given by

\dfrac{10!}{5!\times 5!}

So, the probability that Alex ends up on the same team with at least one of his two best friends is given by

\dfrac{2(\dfrac{8!}{5!\times 3!)}}{\dfrac{10!}{5!\times 5!}}\\\\=2\times \dfrac{8!}{3!}\times \dfrac{5!}{10!}\\\\=\dfrac{4}{9}

Hence, the required probability is \dfrac{4}{9}

3 0
3 years ago
Sales rise from £400 a week to £504 a week. Calculate a percentage increase
soldier1979 [14.2K]

Step-by-step explanation:

previous =£400

present=£504

percentage=(£504-£400)/£504*100

=104/£504*100

=20.63%

3 0
3 years ago
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