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RoseWind [281]
2 years ago
11

5<2y<12 where y is an integer. Write down all the possible values of y.

Mathematics
1 answer:
frozen [14]2 years ago
8 0

Answer:

y = 3, 4, or 5

Step-by-step explanation:

<u />

<u>Step 1; Simplify the Double Inequality</u>

Let's first simplify this double inequality to make answering this problem a bit easier. This means getting the middle term to be just y, without any added constant or coefficients.

In this case, this is a fairly simple process, as all we have to do to get y by itself is just divide the <em>entire inequality</em> by 2. This means that we will also divide the 5 and 12 by 2. (Note that the signs stay the same because we are not dividing by a negative number.)

Doing so gives us the following double inequality: 2.5 < y < 6.

<u>Step 2: Identify the Integers in this Range</u>

Now that we have a simplified double inequality, all we need to do is find all of the integers in its range. (Recall that an integer is <u>any number that is not a fraction when fully simplified (ex. …-1, 0, 1...)</u>.)

In other words, we need to find all of the integers <em>in between</em> 2.5 and 6. Note that we don't include 6 because of the "<" sign, which indicates that the 2.5 and 6 are not included in the set. These numbers are 3, 4, and 5, making them your answer. Hope this helps!

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This list shows the age at which 43 U.S. Presidents began their terms.
Artist 52 [7]

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

The best way to decide the appropriate interval would be to find the range of the numbers.

We have given a data set,

<h3>What is the smallest value in the data?</h3>

The minimum is the smallest value in the data set. The maximum is the largest value in the data set.

<h3>What is the largest minus the smallest? </h3>

This would be 69-42=27.

If you need six intervals you would need to round 27 up to 30 to be able to divide it out evenly and include all of the data.

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

This way you are one over and one under the highest and lowest values.

Therefore, The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

To learn more about the interval visit:

brainly.com/question/12221823

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4 0
2 years ago
Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 20 pounds. The largest pandas
earnstyle [38]
\mathbb P(X>250)=1-\mathbb P(X\le250)

\mathbb P(X\le250)=\mathbb P\left(\dfrac{X-200}{20}\le\dfrac{250-200}{20}\right)=\mathbb P(Z\le2.5)\approx0.9938

which means

\mathbb P(X>250)\approx1-0.9938=0.0062

so approximately 0.62% of pandas weight over 250 pounds.
7 0
3 years ago
Read 2 more answers
How many 1-centimeter cubes does it need to fill the rectangular prism below.
7nadin3 [17]

Answer:

12 cubes

Step-by-step explanation:

To find out how many cubes can fit into the rectangular prism, we need to find the volume.

Volume is Length × width × height

6×2×1=12

The volume is 12 units cubed.

We can fit 12 1-centimeter cubes in the rectangular prism.

<u>Hope this helps :)</u>

6 0
3 years ago
The smallest angle in a triangle measures 9 degrees less than the middle angle. The largest angle is 26 degrees more than 3 time
xeze [42]

Answer:

Step-by-step explanation:

A+B+C = 180°

A ≤ B ≤ C

B = A+9

C = 3A+26

A+B+C = A + (A+9) + (3A+26) = 5A + 35° = 180°

5A = 145°

A = 29°

B = A+9 = 38°

C = 3A+26 = 113°

6 0
2 years ago
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded son
LekaFEV [45]

Answer:

A. $2.89(m)=$40

B. 13 songs

Step-by-step explanation:

$2.89(m)=$40

m=$40/$2.89

m=13.84

She can download a maximum of 13 songs

Check:

$2.89 (13 songs)=$37.57

$40-$37.57=$2.43 left on her gift card

m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43

4 0
3 years ago
Read 2 more answers
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