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2 years ago

Which expression is equal to the expression below? (7•2)

Mathematics

2 answers:

allochka39001 [22]2 years ago

5 0

Answer:

Step-by-step explanation:

When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.

brilliants [131]2 years ago

3 0

Answer:

Step-by-step explanation:

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If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29.

Marta_Voda [28]

Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

=====================

Condition 1

$\sf \rightarrow x + 7 + \dfrac{y}{6} = 29$

$\rightarrow \sf x=-\dfrac{y}{6}+22$

=====================

Condition 2

$\rightarrow \sf 2y - (x - 5) = 9$

$\rightarrow \sf x = 2y -4$

=====================

Substitute equations

$\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4$

$\rightarrow \sf y=12$

=====================

Find value of 1st number

$\rightarrow \sf x = 2y - 4$

$\sf \rightarrow x = 2(12) - 4$

$\rightarrow \sf x = 20$

7 0

1 year 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

2 years ago

you plan to go snowboarding this weekend in Pennsylvania. the resort charges $15.75 per hour in addition to a $25 deposit to ren

Ulleksa [173]

Answer:

A. Equation is $c=25+15.75x$

B. Cost is $88

Step-by-step explanation:

Suppose you rent for x hours and each hour costs $15.75

<u><em>How much would you need to pay?</em></u>

$15.75x$

Moreover, there is a $25 dollar (fixed) deposit for renting, so that gets added to your payment. All in all, you have to pay $25+15.75x$

This is the equation of renting a snowboard for x hours.

Equation is $c=25+15.75x$

Where x is the number of hours you rent the snowboard, and
c is the total cost

If you are renting from 8.30 to 12.30, you are basically renting for 4 hours.

To know how much it will cost, you simply plug in 4 into x (in the equation):

$c=25+15.75x\\c=25+15.75(4)\\c=88$

Cost is $88

6 0

2 years ago

If i buy 25 top loaders for 25¢ each how much money would it be in total?

evablogger [386]

25x.25=6.25 so the answer is $6.25

7 0

2 years ago

Consider the rectangle.

Gnoma [55]

Answer:

Step-by-step explanation:

a. The area of a rectangle is width * length. The width is 5x, and the length is 7x-2. This means the area is 5x*(7x-2). Distributing the 5x, we find that the area of the rectangle is 35x^2-10x.

b. To find the area when x is 4, we plug x=4, so 35*4^2-10*4=560-40=520.

c. same as above, we plug x=7, and get 1645 as our area.

4 0

2 years ago