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Softa [21]
2 years ago
8

Measures of Center and Variability

Mathematics
2 answers:
pickupchik [31]2 years ago
3 0
1. The mean of all the numbers is 41.
5. Median : 52
defon2 years ago
3 0
The mean is 41
And
The median is 52
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Its add math. i really need help, solve the question. thanks♥️​
dexar [7]

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = ax + b

x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )

Substitute these values into f(x) = ax + b, that is

2a + b = 1 → (1)

- a + b = - 5 → (2)

Subtract (2) from (1) term by term to eliminate b

3a = 6 ( divide both sides by 3 )

a = 2

Substitute a = 2 into (2) and evaluate for b

- 2 + b = - 5 ( add 2 to both sides )

b = - 3

(b)

When x maps onto itself then

ax + b = x, that is

2x - 3 = x ( subtract x from both sides )

x - 3 = 0 ( add 3 to both sides )

x = 3

Thus a = 2, b = - 3 and x = 3

6 0
3 years ago
Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object. find the resultant force act
lys-0071 [83]

The forces have a magnitude of 59 pounds, and their direction angles are zero.

<h3>What is the magnitude of force?</h3>
  • The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.
  • When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.
  • According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.
  • Magnitude is a term that refers to size or importance. The depth of the Grand Canyon serves as an illustration of magnitude. The scope of the hunger crisis in the world serves as an illustration of magnitude. A measurement of the energy released by an earthquake, as shown on the Richter scale (geology).

Two forces of 17 and 42 pounds act horizontally on an object.

i.e

F1 = 17 pounds

F2 = 42 pounds

As the magnitude of the force represents the sum of all the forces

The direction is the same

Magnitude : 17 + 42 = 59 pounds

The Direction angles : 0

As they have the same direction so angle will be 0.

The forces have a magnitude of 59 pounds, and their direction angles are zero.

To learn more about the Magnitude of forces and Direction angles of forces, refer to:

brainly.com/question/14584426

#SPJ4

7 0
1 year ago
PLEASE HELP ME BABES!!
qaws [65]
Two miles every 5 minutes. 

Sorry i answered so late.
4 0
3 years ago
Read 2 more answers
Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

(-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)

(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

3 0
3 years ago
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
IgorLugansk [536]

Answer:

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

Step-by-step explanation:

Given that;

mean x" = 5.4

standard deviation σ = 0.7  

n = 6

Null hypothesis H₀ : μ = 5.0  

Alternative hypothesis H₁ : μ > 5.0    

∝ = 0.025    

now,

t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4

degree of freedom df = n-1 = 6 - 1 = 5

T critical = 2.571

Therefore; t < T critical,

Do no reject null hypothesis.  

Conclusion:

there is no sufficient statistical evidence at 0.025 level of significance to support the claim.

3 0
2 years ago
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