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LUCKY_DIMON [66]
3 years ago
14

Is 10x + -42 +31x equivalent to -21x + -42

Mathematics
1 answer:
neonofarm [45]3 years ago
3 0
Yes it is because 10x and -42 will both give you a factor
You might be interested in
A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit
Inessa05 [86]

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. 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.

62% of the voters are Democrats

This means that p = 0.62

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

3 0
3 years ago
Phoebe usually drives to work each day on a 12-mile road that is currently closed for construction. While the road is closed she
Mumz [18]

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

<h3>What is a Pythagoras theorem?</h3>

The square of the longest side is equal to the square of the sum of the othersides.

Before we can calculate the total distance, we will need to get the hypotenuse on  both sides using the Pythagoras theorem as shown:

H^2= 12^2 + 9^2

H² = 144 + 81

H² = 225

H = 15

For the other hypotenuse

h² = 12² + 5²

h² = 144 + 25

h²  = 169

h = 13 mils

The total distance = 5 + 15 + 9 + 13

The total distance = 42 miles

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

Learn more on Pythagoras theorem here: brainly.com/question/12306722

3 0
2 years ago
Jamie put 2 3/12pounds of green apples
yawa3891 [41]

Answer:

5 3/4

Step-by-step explanation:

So, lets add the whole numbers together and the fractions together.

2+3=5

3/12+5/12=8/12

8/12 can be simplified to 3/4

so 5 3/4

(Please give brainliest if this helped you, I'm trying to get an achievement)

5 0
3 years ago
Answer quickly and explain and show work
Nezavi [6.7K]

Answer:

Susie is correct the function is x times itself = y.

6 0
4 years ago
Read 2 more answers
Which numbers should be multiplied to obtain 175^2 − 124^22?
agasfer [191]
This question seems to me to be an exercise in applying the rule for a difference of squares in order to rewrite the difference of two relatively large numbers as the "simpler" product of other integers.


175^2-124^2=(175-124)(175+124)=51\cdot299=15,249
3 0
3 years ago
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