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stiks02 [169]
3 years ago
7

Solve the equation for the indicated variable.

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

We are given:

u+v

t=---------- and are to solve for u.

2

First, multiply both sides by 2; this will eliminate fractions:

2t = u + v. We want to solve this for u.

Subtracting v from both sides, we get 2t - v = u. Thus, u = 2t - v (answer)

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Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv
Dahasolnce [82]

Answer and Explanation:

Given : Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the​ X-linked genetic disorder.

To find :

a. Does the table show a probability distribution?

b. Find the mean and standard deviation of the random variable x.

Solution :

a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.029+0.147+0.324+0.324+0.147+0.029

\sum P(X)=1

Yes it is a probability distribution.

b) First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.029         0              0                0

1     0.147        0.147           1              0.147

2    0.324       0.648         4              1.296

3    0.324       0.972         9              2.916

4    0.147        0.588        16              2.352

5    0.029       0.145         25            0.725

   ∑P(x)=1      ∑xP(x)=2.5               ∑x²P(x)=7.436

The mean of the random variable is

\mu=\sum xP(x)=2.5

The standard deviation of the random sample is

Variance=\sigma^2

\sigma^2=\sum x^2P(x)-\mu^2

\sigma^2=7.436-(2.5)^2

\sigma^2=7.436-6.25

\sigma^2=1.186

\sigma=\sqrt{1.186}

\sigma=1.08

Therefore, The mean is 2.5 and the standard deviation is 1.08.

5 0
3 years ago
In the symbol AB, the letter A represents a(n) ANSWERS : a.) segment b.) ray c.) point d.)plane
bulgar [2K]

It would have to be C. point.

Since it says AB that marks two points and a line in between them. If only talking about A, it would be a point.

5 0
3 years ago
Read 2 more answers
The table shows the number of cups of water required when cooking different amounts of rice.
Vsevolod [243]

Answer:

For every 1 cup of rice, 2.5 cups of water are required.

Step-by-step explanation:

We can solve this by examining the table closely. We see that the difference of water cups required for 2 and 3 rice cups is 2.5. This stays true for 5 cups of rice. where the difference from the required water for 3 cups of rice is 5.

8 0
3 years ago
An aquarium is in the shape of a rectangular prism. The area of the base of the aquarium is 250 square inches. Which is the volu
natima [27]

Step-by-step explanation:

It is given that,

An aquarium is in the shape of a rectangular prism. The area of the base of the aquarium is 250 square inches.

We need to find the volume of the aquarium.

The formula for the volume of the rectangular prism is given by :

V = lbh

Where, l is length, b is width and h is height

Let the height of the prism is h inches. So,

V = A × h   (As Area, A = lb)

V = 250× h

= (250h) inch³

By substituting the value of h, we can find its volume.

Hence, the volume of the aquarium is (250h) inch³.

6 0
3 years ago
Read 2 more answers
A car rental agency advertised renting a car for $27.95 per day and $0.34 per mile. If David rents this car for 4 days, how many
marysya [2.9K]

Answer:

equation=

0.34(m)\ =\ 250 - d(27.95)

evaluate that with d = 4,

m = 406.470588235

simplify to closest whole number,

m = 406

Step-by-step explanation:

5 0
3 years ago
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