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Pepsi [2]
3 years ago
15

What is the slope intercept form of 3x+4y=-24

Mathematics
2 answers:
vichka [17]3 years ago
8 0
Y=-6x+.75
Due to first you will have to subtract 3x from both sides then divide by 4 from both sides which will equal a slope of -6 and a y-intercept of .75 or three fourths

kozerog [31]3 years ago
6 0
Rearrange so 4y= -3x-24 then divide everything by 4so,

Y=-3x/4 - 6. The intercept is -6
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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
Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

p = -6 or p = 12

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

p = 9 + 3\\p = 12

We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

3 0
3 years ago
A group of 5 friends spent a total of $18 on a bottle of juice and a package of dried fruit for each of them. Each juice cost $1
klemol [59]
The answer is $2.35
 if u add $1.25 and $2.35 you get $3.60 
then u multiply $3.60 by 5 which gives you 18
4 0
3 years ago
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Naya [18.7K]

Answer:

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6 0
2 years ago
Solve 3(x-4)=-5 for x​
makvit [3.9K]

Answer:

x=7/3

Step-by-step explanation:

3(x-4)=-5

3x-12=-5

3x=7

x=7/3

8 0
2 years ago
Read 2 more answers
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