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3 years ago

Solve for the variable x+9=12

Mathematics

2 answers:

svetoff [14.1K]3 years ago

8 0

Answer: x = 3

Step-by-step explanation: x = 12 - 9

labwork [276]3 years ago

4 0

Answer:

Step-by-step explanation:

subtract 9 from both sides

x=3

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A pool has dimensions of 40m by 20m. We'd like to add a tile path surrounding the pool with a width of 1m all the way around the

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The area of the path would me 407 m

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3 years ago

A statistics professor receives an average of five e-mail messages per day from students. Assume the number of messages approxim

kaheart [24]

Answer:

The probability that on a randomly selected day the statistics professor will have five messages is 0.1755.

Step-by-step explanation:

Let the random variable X represent the number of e-mail messages per day a statistics professor receives from students.

The random variable is approximated by the Poisson Distribution with parameter λ = 5.

The probability mass function of X is as follows:

$P(X=x)=\frac{e^{-5}\cdot 5^{x}}{x!};\ x=0,1,2,3...$

Compute the probability that on a randomly selected day she will have five messages as follows:

$P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}$

$=\frac{0.006738\times 3125}{120}\\\\=0.17546875\\\\\approx 0.1755$

Thus, the probability that on a randomly selected day the statistics professor will have five messages is 0.1755.

7 0

4 years ago

The supplement of an angle is equal to 2 times the angle

Vilka [71]

Well if it is a supplement then that means that is has to equal 180 degrees. If one angle is two times the other and it equals to 180 you can make an equation out of this.
First you would do:
x+2x=180

Then
3x=180

Last
x=60

Therefore x will equal 60 degrees which means that angle 1 is 60 and angle 2 is 120

3 0

3 years ago

Amy deposits $360 in an account that pays 1/2% simple annual interest. How much interest will she earn in 6 years?

12345 [234]

Answer:

Amy will earn $343.04

7 0

3 years ago

A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the tota

Natalka [10]

Answer: 120 cm²

Step-by-step explanation:

Let's start by finding the area of one triangle

The formula for finding the area of a triangle is $A=\frac{hb}{2}$

Where

A is the area

h is the height (5 for this)

and b is the base (4 for this)

Let's sub in our values and solve.

$A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10$

Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape

12×10=120

6 0

2 years ago