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Gekata [30.6K]
3 years ago
9

Given b(x) = |x+4| , what is b(-10)

Mathematics
2 answers:
Dominik [7]3 years ago
8 0

Answer:

6

Step-by-step explanation:

|-10+4| = |-6|= 6

inside the | | the equation is done normally. that's why it has a negative at first. then, once getting rid of the bars, you change the number to a positive

devlian [24]3 years ago
4 0

Answer:

\boxed {\tt b(-10)=6}

Step-by-step explanation:

We are given the function:

b(x)= \mid x+4 \mid

We want to find b(-10). Therefore, we must plug -10 in for each x.

b(-10)= \mid -10+4 \mid

Solve inside of the absolute value symbol. Add 4 to -10 ⇒ -10+4= -6

b(-10)= \mid -6 \mid

Absolute value represents how far away a number is from 0. It is always positive.

-6 is 6 away from 0. Therefore, the absolute value of -6 is 6.

b(-10)= 6

b(-10) is equal to 6.

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Simplify 6 cm : 1.5 m
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6cm=0.06m

0.06m : 1.5m

6m : 150m

1m : 35m

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An airplane descends 1.5 miles to an elevation of 5.25 miles. Write and solve an equation to find the elevation of the plane bef
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2.25 is the elevation of the plane before its decent
7 0
4 years ago
A laboratory experiment requires 2400 milligrams of sugar. How many kilograms of sugar does the experiment require?
telo118 [61]

Answer:

0.0024

Step-by-step explanation:

1 killogram=1000000

5 0
3 years ago
it is known that the population proton of utha residnet that are members of the church of jesus christ 0l6 suppose a random samp
Lady_Fox [76]

Answer:

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

Step-by-step explanation:

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

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Proportion of 0.6

This means that p = 0.6

Sample of 46

This means that n = 46

Mean and standard deviation:

\mu = p = 0.6

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.6*0.4}{46}} = 0.0722

Probability of obtaining a sample proportion less than 0.5.

p-value of Z when X = 0.5. So

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

By the Central Limit Theorem

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

Z = \frac{0.5 - 0.6}{0.0722}

Z = -1.38

Z = -1.38 has a p-value of 0.0838

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

8 0
3 years ago
A new cell phone was $625 but it was reduced to $500. What was the percent of decrease?
zepelin [54]

Answer:

80%

Step-by-step explanation:

To find percent decrease (new amount/original amount)*100

(500/625)*100

=80

--

to check

625*.80  

=500

or

625*80%

=500

4 0
3 years ago
Read 2 more answers
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