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3 years ago

Which expression is equivalent to ^

Mathematics

1 answer:

mash [69]3 years ago

5 0

Answer:

Step-by-step explanation:

lets break down 120 to see what it is divisible by and see if any of those numbers are perfect squares.

120/2=60

120/3=40

120/4=30

we can stop there because 4 is a perfect square and 30 can not be reduced any further to produce a perfect square.

do not forget there is only one x so it must stay in side the radical.

your answer is 2sqrt(30x)

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You have a bag with 100 pennies. One of the 100 pennies is weighted so that it lands on heads 90% of the time. The rest of them

masha68 [24]

Answer:

0.160275

Step-by-step explanation:

P(5 time heads) =P(fair penny and 5 time heads + weighted penny and 5 time heads)

probability of fair penny = 99/100 (as one is removed)

probability of heads = 50% = 0.5 flipped 5 times

probability of weighted penny = 1/100

probability of heads for this penny = 90% = 0.9

substituting, we have

=(99/100) * (1/2)*5 + (1/100) * (0.9)5 = 0.036842

hence from Bayes theorem

P(weighted penny | 5 time heads) =P(weighted penny and 5 time heads) / P(5 time heads)

=(1/100)*(0.9)5 /0.036842 =0.160275

6 0

3 years ago

Jim is a minor manufacturer. He needs to know the forecasted sales for September to formulate a plan in advance. What is his for

Olin [163]

Answer:

$3838

Step-by-step explanation:

The mean of the given numbers is their sum divided by the number of them:

mean = (3000 +3500 +4000 +4500 +3000 +3500 +4204 +5000)/8

= 30704/8 = 3838

If Jim is using this mean for his forecast, then his forecasted sales is $3838.

3 0

3 years ago

Simplify (5b)(-3a)help

nadezda [96]

The answer in simplify is (5b)(-3a)= -15ab

3 0

4 years ago

William has 3 jars of marbles to share equally with his brother the first jar holds 12 marbles the second jar holds 21 marbles t

meriva

Answer:

Each boy will get <u>25</u> marbles.

Step-by-step explanation:

Given:

William has 3 jars of marbles to share equally with his brother the first jar holds 12 marbles the second jar holds 21 marbles the last jar holds 17 marbles.

Now, to write an expression using parentheses to find number of marbles each boy get.

Let the number of marbles each boy get be $x.$

Total number of boys = 2.

Number of marbles first jar holds = 12.

Second jar holds = 21.

And third jar holds = 17.

As given, William shares marbles equally with his brother.

Now, we write the expression to find the number of marbles each boy get:

$x=\frac{(12+21+17)}{2}$

$x=\frac{12}{2} +\frac{21}{2} +\frac{17}{2}$

$x=6+10.5+8.5$

$x=25.$

Therefore, each boy will get 25 marbles.

4 0

3 years ago

At the movie theater the prince on 1 adult ticket and 4 child tickets is $44 the price of 5 adults tickets and 2 child tickets i

nydimaria [60]

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

x+4y=44 Eqn 1

5x+2y=76 Eqn 2

Multiplying Eqn 1 by 5

$5(x+4y=44)\\5x+20y=220\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(5x+20y)-(5x+2y)=220-76\\5x+20y-5x-2y=144\\18y=144$

Dividing both sides by 18

$\frac{18y}{18}=\frac{144}{18}\\y=8$

Putting y=8 in Eqn 1

$x+4(8)=44\\x+32=44\\x=44-32\\x=12$

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

3 years ago