X = 32.5 I believe..........
Answer:
y=4
Step-by-step explanation:
hello :
Y-3 (4-2Y) = 16
y-12+6y = 16
7y-12=16
so :7y =12+16
7y=28
y=28/7 =4
Answer:
x=7 multiplicity of 2
Step-by-step explanation:
14x - 49 = x^2
Subtract x^2 from each side
-x^2 +14x - 49 = x^2-x^2
-x^2 +14x - 49 = 0
Multiply by -1
x^2 -14x +49 =0
What 2 numbers multiply together to give you 49 and add together to give you -14
7*-7 = 49
-7+-7 = -14
(x-7) (x-7) = 0
Using the zero product property
x-7 = 0 x-7 =0
x-7+7= 0+7 x-7+7 =0+7
x =7 x=7
<span>A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos. Imagine you stick your hand into the refrigerator and pull out a piece of fruit at random. What is the sample space for this process? a. S = {apple, orange, banana, pear, peach, plum, mango} b. S = {6, 5, 10, 3, 7, 11, 2} c. S = {6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, 2 mangos}</span>
Given:
n = 150, sample size
Denote the sample proportion by q (normally written as

).
That is,
q = 60/150 = 0.4, sample proportion.
At the 96% confidence level, the z* multiplier is about 2.082, and the confidence interval for the population proportion is
![q \pm z^{*}[ \frac{q(1-q)}{ \sqrt{n} } ]](https://tex.z-dn.net/?f=q%20%5Cpm%20z%5E%7B%2A%7D%5B%20%5Cfrac%7Bq%281-q%29%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%5D)
That is,
0.4 +/- 2.082* √[(0.4*0.6)/150]
= 0.4 +/- 0.0833
= (0.3167, 0.4833)
= (31.7%, 48.3%)
Answer: The 96% confidence interval is about (32% to 48%)