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Mnenie [13.5K]
3 years ago
15

What is 5 - 3x + x - 32 in a simplified expression?

Mathematics
2 answers:
klasskru [66]3 years ago
6 0

Let's simplify step-by-step.

5−3x+x−32

=5+−3x+x+−32

Combine Like Terms:

=5+−3x+x+−32

=(−3x+x)+(5+−32)

=−2x+−27

<u>Answer: </u>

=−2x−27

tresset_1 [31]3 years ago
4 0

Answer:

-27-2x

Step-by-step explanation:

5-3x+x-32

(collect like terms)

5-32-3x+x

<h2><u><em>-27-2x</em></u></h2>
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Caterers made 272 cups of punch for a party. They will distribute the punch equally into 6 bowls. How many cups of punch will ea
motikmotik

Answer:

45.33 cups.

Step-by-step explanation:

272 divided by 6 gives this answer

8 0
3 years ago
Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that
Mekhanik [1.2K]

Answer:

Since n(1-p) = 3.72 < 10, the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

np \geq 10 and n(1-p) \geq 10

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

Out of 124 software users

This means that n = 124

Assume the probability that a given software user will call technical support is 97%.

This means that p = 0.97

Conditions:

np = 124*0.97 = 120.28 \geq 10

n(1-p) = 124*0.03 = 3.72 < 10

Since n(1-p) = 3.72 < 10, the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0
3 years ago
Does this graph represent a function? Need this ASAP
Rina8888 [55]

Answer:

A

Step-by-step explanation:

Yes, it passes the vertical line test.

7 0
3 years ago
Read 2 more answers
Pls explain ur answer
Nikolay [14]

Answer:

meters

the meter is the largest unit of measurement of distance. If the meter is used, the bar chart would be more compact and the all the distances would be well represented on the bar chart

Step-by-step explanation:

3 0
3 years ago
Identify Slope and Y intercept for the equation X=4 M=B=
krek1111 [17]
Undefined and Undefined

Since the equation is x = 4, there is no y-intercept as x will never equal 0.

Additionally, since the equation is x = 4, there is no change in x value and as such the slope can not be determined.
6 0
3 years ago
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