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dimaraw [331]
2 years ago
8

A data set contains three points, and two of the residuals are 7 and -3. What 7

Mathematics
1 answer:
Delvig [45]2 years ago
4 0

The data set in discuss which contains three points and two of the residuals are 7 and -3 would have its third residual as; -4.

<h3>What is the third residual if the data set characterized as having 2 of its three residuals to be; 7 and -3?</h3>

According.tinthe task content, the data set in discuss has three points and consequently should have three residuals.

Additionally, two of the three residuals have been given and on this note, it follows that the third residual must have a value such that the algebraic sum of all residuals is 0.

Hence, we have; -3 + 7 +x = 0;

x = 3-7 = 4.

Ultimately, the third residual is; -4.

Read more on residuals in a data set;

brainly.com/question/27733055

#SPJ1

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Answer:

15.9

Step-by-step explanation:

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Over the last 3 months, Janet exercised a total of 101 hours. She exercised 4 hours more during the second month than the first
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In 1st month let she exercised h hours

in second month she exercised h+4 hours

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A tank and a pail contained a total of 962 ml of water. When 250 ml of water was poured from the pail to the tank, the amount of
Allisa [31]

By solving a system of equations, we will see that the pail originally contained 382.9 ml.

<h3>How to write the system of equations?</h3>

First, we need to define the variables, we will use:

  • T = amount of water in the tank.
  • P = amount of water in the pail.

First, we know that the total amount of water is 962 ml, then we have:

P + T = 962 ml.

We also know that if we pour 250 ml from the pail to the tank, the amount of water in the tank will be 12 times the amount of water in the pail, this is written as:

T + 250ml = 12*(P - 250ml)

Then the system of equations is:

P + T = 962 ml

T + 250ml = 12*(P - 250ml)

To solve this, first, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = 962 ml - P

Now we replace this into the other equation to get:

(962 ml - P) + 250ml = 12*(P - 250ml)

Now we can solve this for P.

962 ml + 250 ml - P = 12*P - 12*250 ml

1,212 ml - P = 12*P - 3,000 ml

1,212  ml + 3,000 ml = 12*P - P

(4,212 ml)/11 = P = 382.9 ml

So the pail originally contained 382.9 ml

If you want to learn more about systems of equations, you can read:

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2 years ago
3/7=8/x solve the proportion
Anna35 [415]
X=3/56 Hope My Answer Helps You (:
5 0
3 years ago
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UDD Question 6 10 pts Solve for x. Round to the nearest tenth (one decimal place). Just type the number, no unit of measurement.
NISA [10]

Answer:

The answer is;

54.4

Step-by-step explanation:

The given parameter are;

Triangle ΔFGH = Right triangle

The length of segment \overline {FH} = 48

The measure of ∠HFG = 28°

The measurement required = The measure of segment \overline {FG} = x

The measure of ∠FHG = 90° angle opposite hypotenuse side of a right triangle

Therefore, ∠FGH = 180° - ∠HFG - ∠FHG = 180° - 90° - 28° = 62°

∠FGH = 62°

By sine rule, we have;

\overline {FH}/(sin ∠FGH) = \overline {FG}/(sin(∠FHG)

By substituting the known values, we have;

48/(sin 62°) = x/(sin(90°)

sin(90°) = 1, therefore, we have;

x/1 = x = 48/(sin 62°) = 54.4 (by rounding the answer to the nearest tenth)

x = 54.4

8 0
3 years ago
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