You can factor (x^3 and 6x^2) and (-4x and -24).
So x^2(x+6) - 4(x+6)
(x^2-4)(x+6)
(x-2)(x+2)(x+6)
Answer:
x = -4 or x = 2
Step-by-step explanation:
The equation should look like :
[H+] = (1-a)(x) + (a)(y)
Where:
5.8 = -log [H+]
5.0 = -log x
6.9 = -log y
(1-a) = proportion of x
<span>a = proportion of y
so calculating a will give you the result of how many ounces are required</span>
Answer:
$440,000
Step-by-step explanation:
Direct material:
= $195,000 - $30,000
= $165,000
Direct labor:
= $150,000 - $40,000
= $110,000
Manufacturing overhead:
150% of direct labor cost.
= $110,000 x 150 ÷ 100
= $16,500,000 ÷ 100
= $165,000
Total manufacturing costs:
= $165,000 + $110,000 + $165,000
= $275,000 + $165,000
= $440,000
The total manufacturing costs added during the period is: <u>$440,000</u>
Answer:
The probability that 75% or more of the women in the sample have been on a diet is 0.037.
Step-by-step explanation:
Let <em>X</em> = number of college women on a diet.
The probability of a woman being on diet is, P (X) = <em>p</em> = 0.70.
The sample of women selected is, <em>n</em> = 267.
The random variable thus follows a Binomial distribution with parameters <em>n</em> = 267 and <em>p</em> = 0.70.
As the sample size is large (n > 30), according to the Central limit theorem the sampling distribution of sample proportions (
) follows a Normal distribution.
The mean of this distribution is:

The standard deviation of this distribution is: 
Compute the probability that 75% or more of the women in the sample have been on a diet as follows:

**Use the <em>z</em>-table for the probability.

Thus, the probability that 75% or more of the women in the sample have been on a diet is 0.037.