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NeTakaya
3 years ago
10

If a+b = 10 and a – b = 6 , what is the value of a3 + b3 ?​

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

520

Step-by-step explanation:

a=8

b=2

8+2=10

8-2=6

8³=512

2³=8

512+8=520

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A game is played with a spinner on a circle, like the minute hand on a clock. The circle is marked evenly from 0 to 100, so, for
zheka24 [161]

Answer:

The probability is 1/2

Step-by-step explanation:

The time a person is given corresponds to a uniform distribution with values between 0 and 100. The mean of this distribution is 0+100/2 = 50 and the variance is (100-0)²/12 = 833.3.

When we take 100 players we are taking 100 independent samples from this same random variable. The mean sample, lets call it X, has equal mean but the variance is equal to the variance divided by the length of the sample, hence it is 833.3/100 = 8.333.

As a consecuence of the Central Limit Theorem, the mean sample (taken from independant identically distributed random variables) has distribution Normal with parameters μ = 50, σ= 8.333. We take the standarization of X, calling it W, whose distribution is Normal Standard, in other words

W = \frac{X - \mu}{\sigma} = \frac{X - 50}{8.333} \simeq N(0,1)

The values of the cummulative distribution of the Standard Normal distribution, lets denote it \phi , are tabulated and they can be found in the attached file, We want to know when X is above 50, we can solve that by using the standarization

P(X > 50) = P(\frac{X-50}{8.33} > \frac{50-50}{8.33}) = P(W > 0) = \phi(0) = 1/2

Download pdf
8 0
4 years ago
What is the answer to 32 3/4 - 12 1/2 =
Natasha_Volkova [10]

Answer:

20.25 :)

Step-by-step explanation:

8 0
3 years ago
Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars
Liono4ka [1.6K]

Answer:

Option C is the correct answer.

C.  5•(-20)

Step-by-step explanation:

We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.

Change in payment = t * (-20)

The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.

So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,

Change in payment = 5 * (-20)

Change in payment = - $100

4 0
3 years ago
X= 0 Find the slope of a line parallel and perpendicular
Llana [10]

Answer:

Step-by-step explanation:

x=o . so the line is parallel to x-axis.

So the line parallel to the line : x = 0

As the perpendicular line will be parallel to y-axis. so the slope of the line parallel to y-axis is undefined.

3 0
3 years ago
NEED HELP ASAP WILL GIVE BRAINLESTSame scenario - different question. You may use your notes on this checkpoint.
bixtya [17]

Answer:

No

Step-by-step explanation:

There is no meaningful difference between the two mean monthly temperatures. Since the two MADs are 15 degrees and 13.7 degrees, there is no meaningful difference.

6 0
3 years ago
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