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denis23 [38]
3 years ago
8

Rewrite the equation below so that it does not have fractions 2+2/3x=3/4

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

9x = 16

Step-by-step explanation:

2+2/3x=3/4

4/3x = 3/4

3x/4  = 4/3

9x = 16

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Miss Berk has 8 pairs of pajama pants and 3 pairs of slippers. Three pairs of the pajama pants are Harry Potter themed and one p
shusha [124]

The probability that both items will be Harry Potter themed is 1/8.

<u>Step-by-step explanation:</u>

Total Number of pajama pants n(P) =8

Total number of slippers n(S)= 3

Number of Harry Potter themed Pajama pants n(H.P)=3

Number of Harry Potter themed slippers n(H.S)=1

We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.

If two events A and B are independent, then the probability of A and B is given by

P(A and B)=P(A)*P(B)

Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.

P(Harry\ Potter\ pants)=\frac{n(H.P)}{n(P)}

                                       =\frac{3}{8}

P(Harry\ Potter\ slippers)=\frac{n(H.S)}{n(S)} \\                                         =1/3

P(Harry\ Potter\ pants\ and\ Harry\ Potter\ slippers)=P(Harry Potter pants)\times P(Harry potter slippers)

=\frac{3}{8}\times  \frac{1}{3} =\frac{1}{8}

Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8

3 0
3 years ago
Read 2 more answers
Pls answer “c” correctly and I will mark it has brainlist explanation would be helpful
qaws [65]

Answer: slope: -1/4. Y-intercept: 9/8.

Step-by-step explanation:

Use the slope-intercept form y = mx + b to find the slope m and y-intercept b

7 0
3 years ago
cassie is training for a marathon. she has been recording her miles in a journal leading up to race day. the following table sho
Umnica [9.8K]

Answer: There are a lot of possibilities

- she was taking a break

- she forgot

- she was too busy

- she was injured

- she didn't want to

- there was an emergency

I guess you could pick your favorite...

8 0
3 years ago
Seven thousand lottery tickets are sold for $5 each. One ticket will win $2,000, two tickets will win $750 each, and five ticket
Keith_Richards [23]

Answer:

a) The distribution for the random variable X is given by:

X       |           -5         |    95        |      745      |        1995     |

P(X)   |  6992/7000  |  5/7000  |     2/7000 |       1/7000  |

b) E(X)=-4.43. That means if we buy an individual ticket by $5 on this lottery the expected value of loss if $4.43.

c) Sd(X)=\sqrt{Var(X)}=\sqrt{738.947}=27.184

Step-by-step explanation:

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.

Part a

The info given is:

N=7000 represent the number of tickets sold

$5 is the price for any ticket

Number of tickets with a prize of $2000 =1

Number of tickets with a prize of $750=2

Number of tickets with a prize of $100=5

Let X represent the random variable net gain when we buy an individual ticket. The possible values that X can assume are:

___________________________

Ticket price    Prize     Net gain (X)

___________________________

5                     2000       1995

5                     750          745

5                     100           95

5                      0              -5

___________________________

Now we can find the probability for each value of X

P(X=1995)=1/7000, since we ave just one prize of $2000

P(X=745)=2/7000, since we have two prizes of $750

P(X=95)=5/7000, since we have 5 prizes of $100

P(X=-5)=6992/7000. since we have 6992 prizes of $0.

So then the random variable is given by this table

X       |           -5         |    95        |      745      |        1995     |

P(X)   |  6992/7000  |  5/7000  |     2/7000 |       1/7000  |

Part b

In order to calculate the expected value we can use the following formula:

E(X)=\sum_{i=1}^n X_i P(X_i)

And if we use the values obtained we got:

E(X)=(-5)*(\frac{6992}{7000})+(95)(\frac{5}{7000})+(745)(\frac{2}{7000})+(1995)(\frac{1}{7000})=\frac{-31000}{7000}=-4.43

That means if we buy an individual ticket by $5 on this lottery the expected value of loss if $4.43.

Part c

In order to find the standard deviation we need to find first the second moment, given by :

E(X^2)=\sum_{i=1}^n X^2_i P(X_i)

And using the formula we got:

E(X^2)=(25)*(\frac{6992}{7000})+(9025)(\frac{5}{7000})+(555025)(\frac{2}{7000})+(3980025)(\frac{1}{7000})=\frac{5310000}{7000}=758.571

Then we can find the variance with the following formula:

Var(X)=E(X^2)-[E(X)]^2 =758.571-(-4.43)^2 =738.947

And then the standard deviation would be given by:

Sd(X)=\sqrt{Var(X)}=\sqrt{738.947}=27.184

5 0
4 years ago
HELP PLSSSSSSSSS WIL GIVE BRAINLEST Nathan needs 10 ounces of lemonade.
Katyanochek1 [597]

The volume of 10 ounces of lemonade in litres is 0.295735 litres.

<h3>How to convert from ounces to litres?</h3>

He needs 10 ounces of lemonade.

To know the volume in litres, we have to convert from ounces to litres.

Therefore,

1 ounces = 0.0295735 litres

10 ounces = ?

cross multiply

volume in litres = 0.0295735 × 10

volume in litres = 0.295735

Therefore, the volume of the lemonade in litres is 0.295735 litres.

learn more on litres here: brainly.com/question/15322533

#SPJ1

4 0
2 years ago
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