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2 years ago

The Hartman family is saving $400 monthly for Ronald's college education. The family anticipates they will need to

Mathematics

1 answer:

butalik [34]2 years ago

3 0

Answer:

D. The family will likely have enough money. They will have saved $19,200 and have accumulated interest.

Step-by-step explanation:

Got 100% on edge.

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A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false

Ket [755]

Answer:

It is true, except when x = 2/5, since it is an asymptote.

Step-by-step explanation:

3x=5xy-2y

3x=y(5x-2)

3x/5x-2=y

5x-2=0 -------> 5x=2 --------> x=2/5

7 0

2 years ago

Which angles are linear pairs? Check all that apply.

KengaRu [80]

Answer:

srtand trv

Step-by-step explanation:

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2 years ago

Read 2 more answers

The probability that a call received by a certain switchboard will be a wrong number is 0.02. Use the Poisson distribution to ap

MAXImum [283]

Answer:

0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

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 interval.

The probability that a call received by a certain switchboard will be a wrong number is 0.02.

150 calls. So:

$\mu = 150*0.02 = 3$

Use the Poisson distribution to approximate the probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

Either there are less than two calls from wrong numbers, or there are at least two calls from wrong numbers. The sum of the probabilities of these events is 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want to find $P(X \geq 2)$ . So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992$

Then

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1992 = 0.2008$

0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

6 0

2 years ago

Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20\%20%20, percent more dishes than the previous

amm1812

Question:

Crispy clover, a popular vegetarian restaurant, introduced a new menu that had 20% more dishes than the previous menu. The previous menu had D dishes. Which of the following expressions could represent how many dishes crispy clovers new menu has?

Answer:

The expression could represent how many dishes crispy clovers new menu has is:

$D + \frac{1}{5}D \text{ or } 1.2D$

Solution:

Given that,

The new menu had 20% more dishes than the previous menu

The previous menu had D dishes

Therefore,

Previous menu = D dishes

New menu = 20 % more dishes than previous menu

Which means,

New menu = 20 % of previous menu + previous menu

Therefore,

New menu = 20 % of D + D

Solve the above equation

$New\ menu = 20 \% \times D + D\\\\New\ menu = \frac{20}{100} \times D + D\\\\New\ menu = 0.2 \times D + D\\\\New\ menu = 0.2D + D = \frac{D}{5} + D = 1.2D$

Therefore, new menu has 1.2D dishes

5 0

2 years ago

Line m contains points (1, -3) and (2, 2). Which of the following pairs of points define a line parallel to line m? f (0, 0) and

Jet001 [13]

The line will have the same slope as line m.

Slope of line m = (2 - -3) / (2 - 1) = 5

The answer is (0, 0) and (1, 5) which has slope (5-0) / (1 - 0) = 5 also.

7 0

2 years ago