Answer:
4, 5, 6
Step-by-step explanation:
An exterior angle is an angle outside of the triangle
Answer:
88 problems
Step-by-step explanation:
Set this problem up as fractions
86/x = 98/100
Cross multiply
86 × 100 = x × 98
8600 = 98x
Divide both sides by 98
87.75... = x
Round to nearest whole number
87.75 rounds up to 88
88 problems
Answer:
Force = - 2.1 Newton
Step-by-step explanation:
According to question ,
The value of Spring constant , K = 7 N/m Newton per meter
And the spring is extended up to 0.3 meter
The Force experience on the spring is calculated from the Hook's Law
<u>The principal state that , the force applied on spring to extend or compress the spring to some distance is proportion to that distance. </u>
Let the force be F
So, F = - K X
where K is spring constant and X is its displacement
Negative sign shows displacement of spring once it is stretched
And K is spring constant
So ,Force = ( - ) 7 × 0.3
I.e Force = - 2.1 Newton Answer
Answer:
a) 0.9
b) Mean = 1.58
Standard Deviation = 0.89
Step-by-step explanation:
We are given the following in the question:
A marketing firm is considering making up to three new hires.
Let X be the variable describing the number of hiring in the company.
Thus, x can take values 0,1 ,2 and 3.

a) P(firm will make at least one hire)

Also,


b) expected value and the standard deviation of the number of hires.
![E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89](https://tex.z-dn.net/?f=E%28x%5E2%29%20%3D%20%5Cdisplaystyle%5Csum%20x_i%5E2P%28x_i%29%5C%5C%3D0%280.1%29%20%2B%201%280.4%29%20%2B%204%280.32%29%20%2B9%280.18%29%20%3D%203.3%5C%5CV%28x%29%20%3D%20E%28x%5E2%29-%5BE%28x%29%5D%5E2%20%3D%203.3-%281.58%29%5E2%20%3D%200.80%5C%5C%5Ctext%7BStandard%20Deviation%7D%20%3D%20%5Csqrt%7BV%28x%29%7D%20%3D%20%5Csqrt%7B0.8036%7D%20%3D%200.89)