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3 years ago

The legs of a right triangle measure 6 meters and 8 meters. What is the length of the hypotonuse.

1 answer:

8 0

Using the Pythagorean theorem a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse, we can find the length needed.

6^2 + 8^2 = c^2

Simplify:

36 + 64 = c^2

100 =c^2

Take the square root of both sides:

c = √100

c = 10

The hypotenuse is 10 meters.

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Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911

nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

$\lambda=\dfrac{1}{2}$

(a) What is the expected number of 911 calls in one hour?

$\lambda=\dfrac{1}{2}\times 60=30$

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

$\lambda=\dfrac{1}{2}\times 5=2.5$

Number of calls = 3

So, P(X=3) is given by

$P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138$

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

$P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820$

Hence, a) 30, b) 0.2138, c) 0.0820

4 0

3 years ago

Arianna went running for 0.75 hours and ran 5.55 miles. What was her speed, in miles per hour, if Arianna

Nataliya [291]

Answer:

7.4 miles per hour

Step-by-step explanation:

To find her speed in miles per hour, divide the amount of miles she ran by the number of hours:

5.55/0.75

= 7.4

So, her speed is 7.4 miles per hour

6 0

3 years ago

An equestrian club orders magazine subscriptions for new members.

algol [13]

Answer:

19.50

Step-by-step explanation:

32m = 624

m = 19.50

need more words

8 0

2 years ago

MATH QUESTION: Julie bought a bag of parsnips that weighed 4 2/7 pounds. She also bought a bag of turnips that weighed 1 1/3 tim

kati45 [8]

Answer:

Julie buy $5\frac{5}{7}$ pounds of turnips.

Step-by-step explanation:

We are given that Julie bought a bag of parsnips that weighed ( $4\frac{2}{7}$ ) pounds. She also bought a bag of turnips that weighed ( $1\frac{1}{3}$ ) times as much as the parsnips.

We have to find how many pounds of turnips did Julie buy.

Firstly, the weight of a bag of parsnips that Julie bought = $4\frac{2}{7}$ = $\frac{30}{7}$ pounds

Now, it is stated that she bought a bag of turnips that weighed ( $1\frac{1}{3}$ ) times as much as the parsnips, that means;

Weight turnips bag = $\frac{4}{3} \times \frac{30}{7}$

= $4 \times \frac{10}{7}$

= $\frac{40}{7}$

So, Julie buy $5\frac{5}{7}$ pounds of turnips.

5 0

3 years ago

The cost of a machine is supposed to

Katena32 [7]

Cost of machine in 2008 = Rs 44,000
Depreciation rate = 12%
(i) ∴ Cost of machine at the end of 2009

6 0

3 years ago