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Anvisha [2.4K]
3 years ago
13

What is the length of side x? If necessary, round your answer to two decimal places. 19 12

Mathematics
1 answer:
Valentin [98]3 years ago
5 0

Answer:

D. 14.73

Step-by-step explanation:

According to Pythagoras,

19^2 = 12^2 + x^2

x^2 = 19^2 - 12^2

x^2 = 361 - 144

x^2 = 217

x = \sqrt{217}

x = 14.73

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A weight lifter lifts a setof 1250kg weights a vertical distance of 2m in a weight lifting contest what potential energy do the
nikitadnepr [17]

Answer:

<u>U = mgh = (1250 kg)(9.8 m/s2)(2m) = ? J</u>

HOPE THIS HELPS

3 0
3 years ago
The least common denominator of 1/3, 5/8, and 1/2 is:
andrey2020 [161]

Answer: 24

Step-by-step explanation:

You need to find the common denominator. In the case 24 is the least one because when you multiply 3 by 8, you finally have a common denominator for all three.

If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!

8 0
2 years ago
In the last quarter of​ 2007, a group of 64 mutual funds had a mean return of 2.2 2.2​% with a standard deviation of 6.3 6.3​%.
Svet_ta [14]

Answer:

a) 0.625; b) 16.879; c) 8.442

Step-by-step explanation:

Since this is a normal distribution, we want the value of the mean, μ:  2.2; and the value of the standard deviation, σ:  6.3.

For the 40th percentile, we look in a z chart.  We want to find the value as close to 0.40 as we can get; this is 0.4013, and it corresponds to a z score of z = -0.25.

Our formula for a z score is z=\frac{X-\mu}{\sigma}.  Using our values, we have

-0.25 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.25) = X-2.2

-1.575 = X-2.2

Add 2.2 to each side:

-1.575+2.2 = X-2.2+2.2

0.625 = X

For the 99th percentile, the value in the z chart closest to 0.99 is 0.9901, which corresponds to a z score of z = 2.33:

2.33 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(2.33) = X-2.2

14.679 = X-2.2

Add 2.2 to each side:

14.679+2.2 = X-2.2+2.2

16.879 = X

For the IQR, we find the values for the 75th percentile (Q3) and the 25th percentile (Q1).  The value in a z chart closest to 0.75 is 0.7486, which corresponds to a z score of z = 0.67:

0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(0.67) = X-2.2

4.221 = X-2.2

Add 2.2 to each side:

4.221+2.2 = X-2.2+2.2

6.421 = X

The value in a z chart closest to 0.25 is 0.2514, which corresponds to a z score of z = -0.67:

-0.67 = (X-2.2)/6.3

Multiply both sides by 6.3:

6.3(-0.67) = X-2.2

-4.221 = X-2.2

Add 2.2 to each side:

-4.221+2.2 = X-2.2+2.2

-2.021 = X

This makes the interquartile range

6.421--2.021 = 8.442

8 0
3 years ago
Can someone help me pls
Gekata [30.6K]

Answer:

C, D

Step-by-step explanation:

6 0
3 years ago
When finding the sum of 512 and –614, Josh used a left-to-right algorithm to compute the answer. He first added the hundred’s di
Georgia [21]

Answer:

<em>Yes, Josh's answer</em><em> is </em><em>correct</em><em> as </em><em> –102</em><em>  is the correct answer.</em>

<em>Josh have computed the sum as:</em>

<em>If the two integers having different signs, we need to subtract the absolute values (the digits without signs) and then just make sure to keep the sign of the number with the larger absolute value.</em>

     − 6 1 4

+    + 5 1 2

_________

     - 1 0 2

_________

Staring from right, − 614 + (+512) = -102 can be obtained by first adding 2 in negative 4, then adding 1 in negative 1, and lastly adding 5 in negative 6.

Ultimately we can say that Negative 614 plus Positive 514 equals Negative 102.

So, the sum of 512 and –614 is  -102 i.e − 614 + (+512) = -102

Step-by-step explanation:

This is how Josh used a left-to-right algorithm to compute the answer:

  1. Adding the hundred’s digits 500 + (–600) = –100
  2. Adding the ten's digits 10 + (–10) = 0
  3. Lastly, adding 2 + (–4) = –2
  4. End result –100 + 0 + (–2) = –102

<em>Yes, Josh's answer is correct. </em>

<em>How else could Josh have computed the sum?</em>

Before mentioning how Josh could have computed the sum. Here are some of the facts about sum of numbers:

  • The sum of two negative integers is a negative integer. For example,

Adding two negative integers: -3 and -5

-3 + -5 = -8

Please, you don't need to confuse the sign or symbol of the integer with the operation being performed.

Just note -3 + -5 = -8 which is read as is read as Negative 3 plus negative 5 equals negative 8.

  • The sum of two positive integers is a positive integer.

Adding two positive integers: ⁺3 and ⁺5

(⁺3) + (⁺5) = ⁺8

Please, you don't need to confuse the sign or symbol of the integer with the operation being performed.

Just note ⁺3 + ⁺5 = ⁺8 which is read as is read as Positive 3 plus positive 5 equals positive 8.

  • To add a positive and a negative integer

As +(+) are like signs, so they become a positive sign. Such as:

−5 + (+ 1) = −5 + 1 = -4

As

+ + ⇒ +  

+ − ⇒ −  

− + ⇒ −

− − ⇒ +

<em>If the two integers having different signs, we need to subtract the absolute values (the digits without signs) and then just make sure to keep the sign of the number with the larger absolute value.</em>

So, What is −614 + (+512)?

       

     − 6 1 4

+    + 5 1 2

_________

     - 1 0 2

_________

Staring from right, − 614 + (+512) = -102 can be obtained by first adding 2 in negative 4, then adding 1 in negative 1, and lastly adding 5 in negative 6.

Ultimately we can say that Negative 614 plus Positive 514 equals Negative 102.

<em>So, the sum of 512 and –614 is  -102 i.e − 614 + (+512) = -102</em>

<em>Keywords: integer, sum, numbers, digit</em>

<em>Learn more about sum of integers from brainly.com/question/591533</em>

#learnwithBrainly

3 0
3 years ago
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