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Alborosie
3 years ago
13

At King Kong High School, the average weight of senior boys is 168 lbs. with a standard deviation of 7 lbs. The average weight f

or senior girls is 117 lbs. with a standard deviation of 5 lbs. Suppose a new distribution is created by adding the boys' weights and the girls' weights together. Assuming that the weights for boys and girls are independent, which of the following is true?
I. The mean of this new distribution is 168 + 117.

II. The standard deviation of this new distribution is 5+ 7.

III. The variance of this new distribution is 52 + 72

A) I only

B) II only

C) I and II only

D) I and III only

E) I, II, and III
Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

1 and 2 only

Step-by-step explanation:

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Twelve more than half of a number is equal to the number
tester [92]
Let's consider that number to be 'x'..
So, twice the number (2x) is 12 greater than than the half of the number.
So the equation will be like,
2x=12+x/2
Solving this further,
2x=(24+x)/2
=> 4x=24+x
=>4x-x=24
=>3x=24
=>x=8..
So the number is "8".
5 0
3 years ago
A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is
pochemuha

Answer:

P (2) =\frac{1}{7}  Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

number of desired results = 1

The amount of paper in the bag is equal to 7, so:

number of possible results = 7

Thus:

P (2) =\frac{1}{7}

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

So:

P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}

To calculate a theoretical probability you always need to perform an experiment with n trials.

5 0
3 years ago
HELP DUE LIKE RIGHT NOW​
Nimfa-mama [501]

Answer:

The correct answer is x = 17.

Step-by-step explanation:

If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.

Therefore, we can set up the equation:

DEF + FEG = DEG

However, since we know that DEF and FEG represent the same value, we can change this equation into the following:

2(DEF) = DEG

Now, we can substitute in the expressions that we are given:

2(3x+1) = 5x + 19

To simplify, we should first use the distributive property on the left side of the equation.

6x + 2 = 5x + 19

Our next step is to subtract 5x from both sides of the equation.

x + 2 = 19

Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.

x = 17

Therefore, the value of x is 17.

Hope this helps!

7 0
4 years ago
Three people spend $22.50 on large popcorns and soft drinks. They go back the next week and each pay $8.00 for each ticket, they
kakasveta [241]

Answer:

Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

Step-by-step explanation:

Let the Cost of each large soft drink be x.

Also Let the Cost of each Large bucket of popcorn be y.

Number of people = 3

Money Spend on popcorn and soft drink = $22.50

Hence we can say that;

3x+3y=22.50 \ \ \ \ equation \ 1

Next week three people traveled again.

Each ticket was bought = $8.00

Number of tickets bought = 3

Money spend on tickets = 8\times3 = \$24

Total return trip = $37.50

Also they each get a large soft drink, but they share one large bucket of popcorn

Cost of Soft drink = 3x

Cost of popcorn = y

Now Total return trip is equal to sum of Money spend on tickets  and Cost of soft drink and Cost of popcorn.

Hence equation can be framed as;

24+3x+y=37.50\\3x+y=37.50-24\\3x+y = 13.50 \ \ \ \ eqaution \ 2

Now Subtracting equation 2 from equation 1 we get;

(3x+3y)-(3x+y)=22.50-13.50\\\\3x+3y-3x-y=9\\\\2y= 9\\\\y=\frac{9}{2}=\$4.50

Now substituting the value of y in equation 1 we get;

3x+3y=22.50\\\\3x+3\times4.50=22.50\\\\3x+13.50=22.50\\\\3x=22.50-13.50\\\\3x= 9\\\\x=\frac{9}{3}=\$3.00

Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

7 0
3 years ago
How can I solve for X?
Natali [406]
Since we know the angle 250 and a circle is 360 degrees we can solve for x by subtracting 250 from 360.

360-250=110 degrees. 

Tada!
4 0
3 years ago
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