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Amanda [17]
2 years ago
5

How many solutions does the following equation have? 5 x + 8 − 7 x = − 4 x + 1 5x+8−7x=−4x+15, x, plus, 8, minus, 7, x, equals,

minus, 4, x, plus, 1 Choose 1 answer: Choose 1 answer: (Choice A) A No solutions (Choice B) B Exactly one solution (Choice C) C Infinitely many solutions
Mathematics
1 answer:
UNO [17]2 years ago
8 0

Answer: There is one valid solution to the equation 5x + 8 - 7x = -4x + 1, x = -3.5.

Step-by-step explanation:

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PLEEAAASE HELPPPPP<br><br>Distance = ________ x time<br><br>A. flow<br>B. rate<br>C. work​
scZoUnD [109]

Answer:

B:rate

Step-by-step explanation:

the formula distance= rate × time

8 0
2 years ago
Read 2 more answers
13 + k3= 11 Show work pls
zaharov [31]
13+3k=11
-Move constant to the right-hand side and change its sign
3k=11-13

Calculate the difference
3k=-2
Divide both sides by 3
K= -2/3
4 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
Given f(x) = 6x^4 – 10x^3 + 40x – 50, find f(2)
ASHA 777 [7]
F(x)=6x^4-10x^3+40x-50, plug 2 in for x
f(2)=6(2)^4-10(3)^3+40(2)-50
f(2)=12^4-30^3+80-50
f(2)=20735-27,000+80-50
f(2)=-6,235
4 0
2 years ago
A farmer wants to fence in a rectangular area that is 1/8 mile wide by 1/4 mile long. which of the following proportions can the
nikitadnepr [17]
1mi = 5280feet
 The first thing you should do in this case is to calculate the perimeter of the rectangle which will be given by:
 P = 2 * L + 2 * W
 Where
 L = long
 W = width
 Calculating we have:
 P = 2 * (1/4) + 2 * (1/8)
 P = 1/2 + 1/4
 P = 3/4 mi
 To calculate this distance to feet we have to use the following expression:
 (3/4) / (x) = 1/5280
 answer:
<span> B) 3/4 miles divided by x= 1 mile/5280ft 
</span>
7 0
3 years ago
Read 2 more answers
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