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2 years ago

Help me on number problem 1

Mathematics

1 answer:

ivann1987 [24]2 years ago

4 0

Answer:

Alright well you still need to use the slope formula to find the slope m

m = 3 Hope this helps :)

Step-by-step explanation:

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Evaluate Functions Given f(x) = 2x + 6 and g(x) = 5x - 1 Evaluate f(-2)

ZanzabumX [31]

Answer:

f(-2) = -4x + 6

Step-by-step explanation:

f(x) = 2x + 6

f(-2) = -2(2x) + 6

f(-2) = -4x + 6

4 0

2 years ago

Read 2 more answers

The body temperatures of adults are normally distributed with a mean of 98.6degrees° F and a standard deviation of 0.60degrees°

Schach [20]

Answer:

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 98.6, \sigma = 0.6, n = 36, s = \frac{0.6}{\sqrt{36}} = 0.1$

If 36 adults are randomly selected, find the probability that their mean body temperature is greater than 98.4degrees° F.

This is 1 subtracted by the pvalue of Z when X = 98.4. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

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

$Z = \frac{98.4 - 98.6}{0.1}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

97.72% probability that their mean body temperature is greater than 98.4degrees° F.

6 0

2 years ago

Whats the answer for this

drek231 [11]

Answer:

50/18 or 2.77

Step-by-step explanation:

So first u have to make the 3 1/3 and 1 1/5 into improper fractions.

Then, you can do the keep, change, flip thing and then u get 10/3 x 5/6 to get 50/18

7 0

2 years ago

Read 2 more answers

Given b(x) = [X+41, what is b(-10)? – 10 -6 6 14

OLEGan [10]

Option C: 6 is the value of $b(-10)$

Explanation:

The given expression is $b(x)=|x+4|$

We need to determine the value of $b(-10)$

To find the value of $b(-10)$ , let us substitute $x=-10$ in the given expression.

Thus, substituting $x=-10$ in the expression, we have,

$b(-10)=|-10+4|$

Adding the terms, we get,

$b(-10)=|-6|$

Since, we know the absolute rule that $|-a|=a$ and the simplified expression is of the form $|-a|$ , let us apply the absolute rule in the simplified expression.