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Volgvan
3 years ago
13

Which of the following represents hine times the sum of eight and a number x

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

<h2>9(8 + x)</h2>

\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}

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The quotient of a number and 3 decreased by 121 is -164. Select the solution to the sentence shown.
docker41 [41]
Its algebra. The original equation is \frac{x}{3} -121 = -164

To solve for a variable, we reverse the order of operations, beginning with addition/subtraction, and then multiplication/division. To remove a number from one side, we must do the opposite to the other side. In this case, to get rid of the -121 we must add 121 to the -164. This gives us -43. Then, to get the x by itself, we must multiply the other side by 3. -43*3=129

When we are doing the opposite of an operation to the other side, we are really reversing the operation and, to keep both sides equal, we must do whatever we have done to one side to the other side. So when we have -121, we add 121 as it equals 0, therefore it is gone. Since a equation must be balanced, we have to do what we did to the other side (adding 121).



6 0
3 years ago
What is 20 less than 1000​
Phoenix [80]

20 less than 1000 is the same thing as 1000 minus 20.

1000 minus 20 is 980.

20 less than 1000 is 980.

6 0
3 years ago
Read 2 more answers
Please help with geometry!! Thank you so much &lt;3
Luda [366]

Since the two triangles are proportional, there is a scale for going from one triangle to the other

6 0
4 years ago
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
3 years ago
What is the average rate of change of the function f(x)=20(14)xf(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal
Advocard [28]
The average rate of a function f(x) over an interval x = a and x = b is given by:

Average \ Rate \ of \ Change= \frac{f(b)-f(a)}{b-a}

Given the function

f(x)=20(14)^x

The average rate of change from x = 1 to x = 2 is given by:

\frac{f(2)-f(1)}{2-1} = \frac{20(14)^2-20(14)^1}{1}  \\  \\ =20(196-14)=20(182)=3,640
6 0
4 years ago
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