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Dmitry [639]
3 years ago
7

Which statement describes a process to solve sqrt b+20 - sqrt b=5?

Mathematics
1 answer:
babunello [35]3 years ago
7 0

Answer:

Step-by-step explanation:

The equation is:

√b+20 - √b = 5

The first step is we will add √b to both sides:

√b+20 -√b +√b = 5 +√b

√b+20 = 5+√b

Now take square at both sides:

(√b+20)^2 = (5+√b)^2

b+20 = 25+10√b+b

Now combine the like terms:

b+20-25-b=10√b

-5 = 10√b

Divide both the terms by 10

-5/10 = 10√b/10

-1/2=√b

Take square at both sides:

(-1/2)^2 = (√b)^2

1/4 = b

So in this type of question we add radical terms to both sides and square both sides twice....

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In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines. The measure of angle ABC
AlexFokin [52]

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

so

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v°  = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

8 0
3 years ago
What is 13/2 as a percent
asambeis [7]

Answer:

650% percent

Step-by-step explanation:

4 0
3 years ago
Assume that when adults with smartphones are randomly​ selected, 63​% use them in meetings or classes. If 7 adult smartphone
nlexa [21]

Answer:

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they use their smarthphone in meetings or classes, or they do not. The probability of an adult using their smartphone on meetings or classes is independent of other adults. So we use the binomial probability distribution to solve this question.

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.

63% use them in meetings or classes.

This means that p = 0.63

7 adult smartphone users are randomly selected

This means that n = 7

Find the probability that exactly 2 of them use their smartphones in meetings or classes.

This is P(X = 2).

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

P(X = 2) = C_{7,2}.(0.63)^{2}.(0.37)^{5} = 0.0578

5.78% probability that exactly 2 of them use their smartphones in meetings or classes.

8 0
3 years ago
Hi can I get some help please!<br><br> I put the question as an attachment
kvv77 [185]
Only the third one is right
8 0
3 years ago
Read 2 more answers
Is this answer correct?
aivan3 [116]
No, the correct answer is C
A function gives only a single output to an input
8 0
3 years ago
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