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Hoochie [10]
3 years ago
10

The temperature at noon was 10 degrees. For the next 3 hours it dropped at a rate of 3 degrees an hour. Express this change in t

emperature as an integer.
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

Change in temperature = -9 degrees

Step-by-step explanation:

Given

Start Temperature = 10 deg

Change = 3 deg/hr

Time= 3hr

Required

Change in temperature;

First, the total change in 3 hours has to be solved for. This is done as follows:

Total Change = Change* Time

Total Change = 3 deg/hr * 3 hr

Total Change = 9 deg

From the question, we understand that the temperature dropped.

So,  we can conclude that the temperature changed by -9 degrees;

This means that at the end of the third hour is temperature is 1 degrees

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Based on the population mean, the mean of the distribution sample means would be 204.6. The standard deviation would be 0.22.

<h3>What are the mean and standard deviation of the distribution?</h3>

The mean of the distribution sample means is the same as the population means which is 204.6.

The standard deviation can be found as:

σₓ = σ / √n

= 3.1 / √197

= 0.22

Find out more on standard deviation at brainly.com/question/12402189.

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How many 1/8 teaspoons are equal to 4 3/4 teaspoons?
Vinvika [58]

1. Convert fraction into same decimal.

To find this answer, we want to first convert the fraction so that the denominators are the same:

3/4 = ?/8

Divide the original denominator by the needed-to-be denominator.

8 / 4 = 2

Do reversal calculations

4 x 2 = 8

So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.

3           6

_  x 2 = _

4           8

So now, the new equation is:

How many 1/8 teaspoons are equal to 4 6/8 teaspoons.

(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.

2. Convert the whole numbers into a fraction to make it easier.

In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.

?/8

Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.

8/8 = 1

Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.

32/8 = 4

3. Add all your information together.

DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.

32 / 8 + 6 / 8 = ?

32 / 8 + 6 / 8 = 38 / 8

Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.

Now, all you need to do is look at the numeriator.

What number do you see?

You see 38.

The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.

So, how many 1/8 are in 38/8?

38!

5 0
3 years ago
What is the fully factored form of the expression 16x^2 - 49y^2
podryga [215]

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1  ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

6 0
2 years ago
Solve the following system of equations by elimination​
olya-2409 [2.1K]

Answer:

y = -6

x = 1

Step-by-step explanation:

-x + 2y = -13

-x - 2y = 11

Sum the equations:

-x -x = -2x

+2y - 2y = 0

-13 + 11 = -2

then

-2x = -2

x = -2/-2

x = 1

from the first eq.

-x + 2y = -13

-1 + 2y = -13

2y = -13 + 1

2y = -12

y = -12/2

y = -6

check:

from the second eq.

-x -2y = 11

-1 -(2*-6) = 11

-1 -(-12) = 11

-1 + 12 = 11

5 0
2 years ago
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