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Sergeeva-Olga [200]
3 years ago
10

Select an expression equal to 6(4q + 8r)​

Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Answer: B: 24q+48r

Step-by-step explanation: 6(4q+8r)

=(6)(4q+8r)

=(6)(4q)+(6)(8r)

=24q+48r

 

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If the gradient of a line joining the points (-2, 6) and (5, b) is 14.<br> Find the value of b.
babunello [35]

Answer:

b = 104

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

14 = b - 6/5-(-2)

14 = b - 6/5+2

14 = b-6/7

Cross multiply

b-6 = 14 * 7

b - 6 = 98

b  = 98 + 6

b = 104

3 0
3 years ago
Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25
Alenkinab [10]

Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

Binomial probability distribution  

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

The parameters are:

n is the number of trials.

x is the number of successes.

p is the probability of success on a single trial.

In this problem:

62% say job applicants should follow up within two weeks, p = 0.62

25 managers are selected, n = 25

The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)

P( X > 18) = 1 -  ( X = 18)

= 1 - 0.62

= 0.38

38 % probability that exactly 18 of them say job applicants should follow up within two weeks.

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

8 0
2 years ago
12 and 1/2 + 1 and 5/8
ki77a [65]

Answer: 14 1/8

Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions \frac{1}{2} and \frac{5}{8} and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.

<u>Least Common Denominator:</u>

\frac{1}{2} = \frac{4}{8}

\frac{5}{8} = \frac{5}{8}

12 4/8 + 1 5/8 = 13 9/8

Notice that 9/8 is an improper fraction so we can change it to a mixed number.

9/8 = 1 1/8

13 + 1 and 1/8 = 14 1/8

3 0
3 years ago
(Algebra 2)<br><br> Find the inverse of f(x) and its domain.
elixir [45]
Let f(x)=y
f^-1(x)=x
y=1/(x+5) - 1
y+1=1/(x+5)
(x+5)=1/(y+1)
x=1/(y+1)-5
f^-1(x)=1/(x+1) -5

denominator cannot equals to zero
x+1≠0
x≠-1

answer
B
4 0
2 years ago
If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2. Question 20 options: A) 52 B) 13 C) 208
babymother [125]
I believe your answer is A.
8 0
3 years ago
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