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3 years ago

The sum of four consecutive integers is 48. What is the smallest of four integers? Plz hurry

Mathematics

1 answer:

damaskus [11]3 years ago

8 0

Answer:

the sum of four consecutive, odd whole numbers is 48

Step-by-step explanation:

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A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556

MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

$\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}$

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

Hence, the standard deviation of his measurements = 2.76 g

6 0

4 years ago

Triangle WYT is an isosceles if angle Y is equal to 156 then what are the other two angles? brainliest and five⭐ for the first w

Monica [59]

Answer: 12

Step-by-step explanation:

since it’s isosceles, the bottom two angles are equal so just subtract 156 from 180 and then divide that by 2.

3 0

2 years ago

Read 2 more answers

The perimeter of a rectangular garden used 86 feet of barbed wire. The length of the garden is 7 feet more than its width. Find

Taya2010 [7]

Answer:

Step-by-step explanation:

perimeter of a rectangle = twice the length plus twice the width

P = 2L + 2W equation 1 P = 86 ft

Given the length is seven feet more than the width

L = W + 7 equation 2

Substitute equation 2 into equation 1

P = 2(W+7) + 2W = 86 ft

2W +14 + 2W = 86 ft

4W = 86 - 14

W = 72 / 4

W = 18 feet

6 0

3 years ago

A group of students were asked how many times they exercised in the past week. The results were: 0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3

Digiron [165]

Answer:

Kindly check attached picture for histogram plot

Step-by-step explanation:

Given the data:

0,0,0,0,0,1,1,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,4,5,6,7,7,7

The range [0,2), [2,4), is the same as ;

Class range __ frequency

0 - 1 __________ 11

2 - 3 __________ 8

4 - 5 __________ 6

6 - 7 __________ 4

Kindly see picture for histogram plot

5 0

3 years ago

I NEED HELP WITH THIS PLEASEEE!!!!!

Galina-37 [17]

Answers:
The area for the square on the left is 81m^2. This is found because all sides of this square are the same, so the length and width are the same. Just multiply 9 x 9.

The area for the triangle is 31.5m^2. We find the left side is 9 meters because the triangle shares the same side as the square on the left side. We also find the bottom side is 7 because that is the length of each side of that square because all sides on a square is the same. We then multiply 9 times 7, getting 63, we divide this by 2 because it’s a triangle.

The square on the right has the area of 225 because both length and width is 15.

4 0

3 years ago