2 (x+1)=3x-1 how to do this

The probability of a spinner landing on a 4 is 5/8. What is the probability that the spinner will land on a number other than 4?

Alja [10]

The probability that it doesn't land on 4 would be 3/8. This is because theres a 5/8 chance it lands on 4 so just do the opposite which would be 3/8.

5 0

2 years ago

5. Brianna earns $19,500 per year. Lisa earns $1,000 per month. Write a numerical expression that represents how much more Brian

Morgarella [4.7K]

Answer:

19,500 - (1,000 x 12) = X

Brianna earns $ 7,500 more than Lisa per year.

Step-by-step explanation:

Given that Brianna earns $ 19,500 per year and Lisa earns $ 1,000 per month, to write a numerical expression that represents how much more Brianna earns per year than Lisa the following calculations and equations must be performed:

19,500 - (1,000 x 12) = X

19,500 - 12,000 = X

7,500 = X

Thus, Brianna earns $ 7,500 more than Lisa throughout the year.

6 0

3 years ago

What is the area of this figure? ____ units²

skad [1K]

To solve the problem we could separate the figure into three parts. First figure is a triangle, second figure is a rectangle, third figure is a triangle. See image attached.

Solve each area of the figures
First figure, a triangle that have 7 units long of the base, and 2 units long of the height.
a = 1/2 × b × h
a = 1/2 × 7 × 2
a = 14/2
a = 7
The area of the first figure is 7 units²

Second figure is a rectangle, the length of the rectangle is 7 units, the width of the rectangle is 4 units.
a = l × w
a = 7 × 4
a = 28
The area of the second figure is 28 units²

Third figure is a triangle, the base is 7 units long and the height is 2 units long.
a = 1/2 × b × h
a = 1/2 × 7 × 2
a = 14/2
a = 7
The area of the third figure is 7 units²

The area of the three figures
area = first figure area + second figure area + third figure area
area = 7 + 28 + 7
area = 42
The total area of the figures is 42 units²

5 0

3 years ago

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.40

SpyIntel [72]

The mean of the probability distribution is given by the expected value given by

$E(x)=\sum xp(x) \\ \\ =0(0.53)+1(0.40)+2(0.05)+3(0.02) \\ \\ =0.40+0.10+0.06=0.56$

The variance of the probability distribution is given by

$Var(x)=(x-\bar{x})^2p(x) \\ \\ =(0-0.56)^2(0.53)+(1-0.56)^2(0.40)+(2-0.56)^2(0.05)\\+(3-0.56)^2(0.02) \\ \\ =(-0.56)^2(0.53)+0.44^2(0.40)+1.44^2(0.05)+2.44^2(0.02) \\ \\ =0.3136(0.53)+0.1936(0.40)+2.0736(0.05)+5.9536(0.02) \\ \\ =0.166208+0.07744+0.10368+0.119072=0.4664$

The standard deviation is given by

$\sigma(x)=\sqrt{Var(x)} \\ \\ =\sqrt{0.4664}=0.683$

5 0

2 years ago

Two intersecting lines lie in two planes. A. True B. False

Lady_Fox [76]

Intersecting lines can be lying in a plane. An example is the Cartesian coordinate system where systems of equations can be defined by their intesecting points by plotting the equations in the plane coordinate system. In this case, the answer to this problem is B. False

5 0

2 years ago

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