Answer:
Step-by-step explanation:
Distributive property: a(b +c) = a*b + a*c
(2x + 1) - 7(-6x + 9) = (2x + 1) + (-7)*(-6x) + (-7)*9
= 2x + 1 + 42x - 63 {Combine like terms}
= 2x + 42x + 1 - 63
= 44x - 62
Answer:
No, because AB is 2/5 the length MN but CD is 1/3 the length QP.
Step-by-step explanation:
Comparing the corresponding sides, the length of AB is 4. The length of MN is 10. This makes their ratio 4/10 = 2/5.
The length of CD is 2. The length of QP is 6. this makes their ratio 2/6 = 1/3.
The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.
Step-by-step explanation:
<em>2</em><em>:</em><em>1</em><em>0</em><em>:</em><em>1</em><em>6</em><em>=</em><em>2</em><em>/</em><em>1</em><em>0</em><em>=</em><em>1</em><em>/</em><em>5</em><em>÷</em><em>1</em><em>6</em>
<em>
</em>
<em>1</em><em>/</em><em>5</em><em>×</em><em>1</em><em>/</em><em>1</em><em>6</em>
<em>=</em><em>1</em><em>/</em><em>8</em><em>0</em>
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)
Answer: d=3
Step-by-step explanation: 3 times 3 is 9
9 times 3 is 27