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1 year ago

A rectangle measures 2 1/2 inches by 3/4 inches What is its area?

Mathematics

2 answers:

il63 [147K]1 year ago

8 0

Answer:

1 7/8

Step-by-step explanation:

I think you need to times it like 2 1/2 x 3/4, first you make 2 1/2 into 5/2 then times it like this 5/2 x 3/4. the answer is 1 7/8

Westkost [7]1 year ago

4 0

You have to do 5/2 x 3/4. The result of this is 15/8. If you simplify this it will be 1 7/8 inches

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Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number o

stich3 [128]

Answer:

10:32

Step-by-step explanation:

32-22=10 male teachers

6 0

2 years ago

Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1

Tamiku [17]

Base case: if n = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.

Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have

(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1

… = (k ² - k) + 2k

… = 2m + 2k

… = 2 (m + k)

which is clearly even. QED

8 0

2 years ago

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me

Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

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.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

$\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286$

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is $P(X = 2)$ . So:

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

$P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073$

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0

2 years ago

M∠1 = 80 – x; and

Burka [1]

Answer:

$10$

Step-by-step explanation:

m∠2 and m∠1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:

[80 - x]° = [90 - 2x]°

+ x° + x°

______________

80° = [90 - x]°

-90° - 90°

__________

−10° = [−x]°

$10° = x$

I am joyous to assist you anytime.

6 0

2 years ago

What is times positive 9 times negative 5

Ber [7]

Negative 45 or -45 because different signs with multiplication are always negative

5 0

2 years ago