Answer:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Step-by-step explanation:
Information provided
represent the sample mean
represent the population deviation
sample size
represent the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
To find the answer ,multiply 2 1/2 by 2/5
(2/5)*(2 1/2)=1
Therefore you should use 1 cup of flour.
Answer:
P = 6x³ + 12x² - 18x + 8
Step-by-step explanation:
Given that:
Length = 3x3+4x2−6x
Width = 2x2−3x+4
The length of fencing needed will be :
Perimeter of rectangle (P) = 2( Length + Width)
P = 2[ (3x3+4x2−6x) + (2x2−3x+4)]
P = 2 (3x³+ (4x² + 2x²) + (-6x - 3x) + 4)
P = 2(3x³ + 6x² - 9x + 4)
P = 6x³ + 12x² - 18x + 8
Answer:
1166.
Step-by-step explanation:
The total area of the shopping space is

If 1 customer is allowed per every 120 square foot, then we can work out the maximum capacity by dividing the total.

As we can't have .67 of a customer, we need to round this value down to 1166 customers.
The answer:
let be A(x) =<span>2√ 3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3
this function can be represented as </span><span>the product of the factors
proof
</span>2√ 3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3 =
2√ 3 cos(x)csc(x)+4cos(x)csc(x) / csc(x) - 3csc(x)- 2 √ 3 csc(x) / csc(x)
this method doesn't change nothing inside the function A(x)
so we have
[ 2√ 3 cos(x) +4cos(x) / csc(x) - 3 - 2 √ 3 / csc(x) ] . csc(x) this is a product of two factors,
[ 2√ 3 cos(x) +4cos(x) / csc(x) - 3 - 2 √ 3 / csc(x) ] and csc(x)
for more explanation
A(x) =[ 2√ 3 cos(x) - 3 + (4cos(x) - 2 √ 3 ) / csc(x) ] . csc(x)