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LUCKY_DIMON [66]
3 years ago
5

A set of data included the numbers 19, 81, 75, 42, 33 57, and 60. What number could be added to the data to cause the range to b

e 90?
Mathematics
1 answer:
dsp733 years ago
6 0

Answer:

109

Step-by-step explanation:

81-19 is 62. if you add 109 then you could do 109-19 is 90

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The difference of 16 and 2 divide by 7<br>make the equation ​
Rus_ich [418]

Answer:

(16-2)/7

Step-by-step explanation:

16-2=14

14/7=2

Equation: (16-2)/7

3 0
2 years ago
The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be
salantis [7]

Solving the system of equations, it is found that a viable time that the trains are side by side is given by:

B. 15 sec

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

y = 14t^2

y = 130t + 1200

They will be side by side when:

14t^2 = 130t + 1200

14t^2 - 130t - 1200 = 0

It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:

\Delta = (-130)^2 - 4(14)(-1200) = 84100

x_1 = \frac{130 + \sqrt{84100}}{28} = 15

x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71

Time is a non-negative measure, hence option B is correct.

More can be learned about a system of equations at brainly.com/question/24342899

5 0
2 years ago
Find the missing side length. Round your answer to the nearest<br> tenth.<br> 12
castortr0y [4]
4 squared+ 12 squared= c squared
16+144=160
Square root 160

so your answer would be 12.6
8 0
3 years ago
Read 2 more answers
You plant a rectangular rose garden along the side of your garage. you enclose 3 sides of the garden with 40 feet of fencing. th
ycow [4]
Let x be the length of the garden
and y be the width of the garden.

since you only enclose 3 sides of the garden by a 40 ft fence. so the equation for this is:

2x + y = 40

and the area of the garden is 100 sq ft, so in equation
xy = 100
from equation 1, 2x + y = 40
y = 40 - 2x
substitute to equation 2

xy = 100
x ( 40 - 2x) = 100
40x - 2x^2 = 100
2x^2 - 40x + 100 = 0

x = 2.9 ft
y = 34.5 ft 
5 0
3 years ago
Find the degrees of freedom in a regression model that has 10 observations and 7 independent variables. a. 2 b. 17 c. 4 d. 3
PolarNik [594]

The degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.

<h3>What is a degree of freedom?</h3>

The amount of rows of training data used to fit the model equals the degrees of freedom.

Total observation = 10

Number of independent variables = 7

Degree of freedom for regression = 10 – 7 - 1

= 2

Thus, the degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.

Learn more about the degree of freedom here:

brainly.com/question/14222862

#SPJ1

3 0
2 years ago
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