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2 years ago

A total of $39,000 is being invested in a local bank. The

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

4 0

Answer:

Step-by-step explanation:

b + 1/4b = 39,000

1.25b = 39,000

b = 31,200

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You deposit $2000 in an account that eams simple interest at an annual rate of 496. How

GenaCL600 [577]

Answer:

T=100I/PR

T=(100×500)/(2000×4.96)

T=5/(2×4.96)

T=5/9.92

T=0.5years

6 0

2 years ago

"if the standard deviation of a group of 20 scores is 15, what is the variance?"

DerKrebs [107]

We have been given that the standard deviation of a group of 20 scores is 15 and we are asked to find variance.

Since we know variance is square of standard deviation. In order to find out the variance of the given data we have to take the square of 15.

$\text{ Variance}=\sigma^{2}\\
=15^{2}=225$

Therefore, our variance is 225.

7 0

3 years ago

Ms. Traynor’s class is taking a field trip to the zoo. The trip will cost 26$ for each student. There are 22 students in her cla

Minchanka [31]

Let’s estimate the students to 20 and the dollars to 25 so you would multiply 20 by 25 which equals 500 so $500 would be your answer

6 0

3 years ago

A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057$

$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0

3 years ago

ABCD is a rhombus. = 5.5 cm and = 4 cm. What is the area of the rhombus?

Angelina_Jolie [31]

The formula for solving a rhombus is A = P*Q/2

5.5×4 =22

22÷2 = 11

Awnswer: 11 cm²

3 0

3 years ago

Read 2 more answers