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2 years ago

Which expression below shows that 98 can be written as the product of prime numbers?

Mathematics

1 answer:

leonid [27]2 years ago

6 0

Answer:

Step-by-step explanation:

Option A

(-2)(-49)

=2×49

=98

Option B

(4)(-27)

=-108

Option C

(-7)(14)

=-98

Option D

(-9)(11)

=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!

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750 feet tall how many stories would the building have

liberstina [14]

Answer:

Well if a story is 14-16 feet tall, then it would be about 50 floors.

Step-by-step explanation:

Each story is 14-16 feet, and if you meet in the middle (15 feet) just divide 750 by 15, you get 50.

6 0

3 years ago

River C is 400 miles longer than River D. If the sum of their lengths is 5 comma 520 miles, what is the length of each river?

Viefleur [7K]

If the sum of their lengths is 5,520 miles then River D is 2360 and River C is 3160

4 0

3 years ago

Find the measure of BCD

Lerok [7]

please mark me as brainliest!!

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2 years ago

An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy

nydimaria [60]

Part A

Given info:

xbar = sample mean = 4.90 ppm
s = sample standard deviation = 1.12 ppm
n = 23 = sample size

Because n > 30 is not true, and we don't know the population standard deviation (sigma), this means we must use a T distribution.

The degrees of freedom here are n-1 = 23-1 = 22.

At 90% confidence and the degrees of freedom mentioned, the t critical value is roughly t = 1.717

Use a T distribution table or calculator to determine this. If you don't have a calculator for the task, then you can search out "inverse T calculator" and there are tons of free options to pick from.

The margin of error E is

E = t*s/sqrt(n)

E = 1.717*1.12/sqrt(23)

E = 0.400982

This is approximate and accurate to 6 decimal places.

The confidence interval is going to be xbar plus or minus that E value

L = lower bound = xbar - E = 4.90 - 0.400982 = 4.499018 = 4.50

U = upper bound = xbar + E = 4.90 + 0.400982 = 5.300982 = 5.30

The confidence interval in the format of (L, U) is (4.50, 5.30)

You could also express it as the format L < mu < U and it would be 4.50 < mu < 5.30; however, I'll stick to the first method.

<h3>Answer: (4.50, 5.30)</h3>

=====================================================

Part B

Since we know sigma = 2.6 is the population standard deviation, we can use a Z distribution now.

At 90% confidence, the z critical value is roughly 1.645; use a table or calculator to determine this.

$n = \left(\frac{z*\sigma}{E}\right)^2\\\\n \approx \left(\frac{1.645*2.6}{0.03}\right)^2\\\\n \approx 20325.254444 \\\\$

Round this up to the nearest integer to get 20326. For min sample size problems, always round up.

<h3>Answer: 20326</h3>

6 0

2 years ago

What is x in this equation 2-3/4x=11

vladimir2022 [97]

Answer:

x=-12

Step-by-step explanation:

2-3/4x=11

3/4x=2-11

3/4x=-9

x=-9/(3/4)

x=(-9/1)(4/3)

x=-36/3

x=-12

3 0

3 years ago