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Nesterboy [21]
3 years ago
6

Obtain the number 175 in two steps, using the numbers 3, 10 and 25 exactly once. You may use addition, subtraction, or multiplic

ation.
Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer: (10 - 3) x 25 = 175

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

10 - 3 = 7

            7 x 25 = 175

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You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if
oksian1 [2.3K]

Answer:  The mean and variance of Y is $0.25 and $6.19 respectively.

Step-by-step explanation:

Given : You and a friend play a game where you each toss a balanced coin.

sample space for tossing two coins : {TT, HT, TH, HH}

Let Y denotes the  winnings on a single play of the game.

You win $1; if the faces are both heads

then P(Y=1)=P(TT)=\dfrac{1}{4}=0.25

You win $6; if the faces are both heads

then P(Y=6)=P(HH)=\dfrac{1}{4}=0.25

You loose $3; if the faces do not match.

then P(Y=1)=P(TH, HT)=\dfrac{2}{4}=0.50

The expected value to win : E(Y)=\sum_{i=1}^{i=3} y_ip(y_1)

=1\times0.25+6\times0.25+(-3)\times0.50=0.25

Hence, the mean of Y : E(Y)= $0.25

E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25

Variance = E[Y^2]-E(Y)^2

=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19

Hence, variance of Y = $ 6.19

6 0
4 years ago
Solve the equation. 4x-3=5x-7
andrey2020 [161]

Answer:

x=4

Step-by-step explanation:

4x-3=5x-7

-1x-3=-7 Subtract the 5x on both sides

-1x=-4 Add the -3 to the -7

x=4

3 0
3 years ago
Read 2 more answers
Here are the prices of five new pairs of hockey skates, in dollars: 59, 60, 65, 99, 175. The standard deviation is about $49. If
Phoenix [80]

Answer:

The standard deviation of the new data will be increased as compared to the previous standard deviation of the data.

Step-by-step explanation:

The prices are given to be : 59, 60, 65, 99, 175

Standard deviation = $49

Now, if we add or subtract any constant value to each of the terms then the standard deviation remains unchanged.

But, we add a new price in the given data that is $450

\text{New standard deviation = }\sqrt{\frac{\sum (\bar{x}-x_i)^2}{n}}\\\\\bar{x}\text{ is the mean of data after adding 450 and}\\x_i\text{ are the price values of the sample data}

Hence, Standard deviation is calculated to be 139.5

Therefore, the standard deviation of the new data will be increased as compared to the previous standard deviation of the data.

6 0
3 years ago
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EXPERT HELP I'LL GIVE BRAINLIEST: EXPLAIN THE ANSWER
Katyanochek1 [597]

Answer:

C

Step-by-step explanation:

Hey There!

So the answer is C because essentially answer choice c is saying that you can predict what the amount of problems that the next kid would complete in 30 minutes because all of the samples have a mean of 15.6-15.9 or that all of the samples are reliable because all of the means are near each other

And if you didnt know the mean is the average of all of the numbers in the sample

There C is your answer

8 0
3 years ago
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The box plots show the data distributions for the number of customers who used a coupon each hour during a two-day
algol13

Answer:

The correct answer is A: Interquartile range

Step-by-step explanation:

Just took the test and this was the correct answer

3 0
3 years ago
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