Given:
48 ounces of juice in 3 bottles.
Unit rate is 48 ounces / 3 bottles = 16 ounces per bottle. Choice C.
Answer:
B.) 32
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so ...
BE = DE
y+10 = 4y - 8 . . . substitute the given expressions
18 = 3y . . . . . . . . add 8-y
6 = y . . . . . . . . . . divide by 3
Then BE = y+10 = 16 and ...
BD = 2×BE = 2×16
BD = 32
Answer:
One Solution
Step-by-step explanation:
Given
Required
Determine the number of solution and the value of x
The equation is a linear equation and they have just one solution
Solving further [Divide both sides by -10]
Hence;
<em>x has only one value</em>
Answer:
Step-by-step explanation:
We want to determine a 98% confidence interval to estimate the true mean shear strength of anchor bolts.
Number of sample, n = 78
Mean, u = 4.25
Standard deviation, s = 1.3
For a confidence level of 98%, the corresponding z value is 2.33.
We will apply the formula
Confidence interval
= mean ± z × standard deviation/√n
It becomes
4.25 ± 2.33 × 1.3/√78
= 4.25 ± 2.33 × 0.147
= 4.25 ± 0.34
The lower end of the confidence interval is 4.25 - 0.34 = 3.91
The upper end of the confidence interval is 4.25 + 0.34 = 4.59
b) the confidence interval would still be valid because the number of samples is large(> 30)
Answer:
area = x^2 - 4x
Step-by-step explanation:
a = x(x-4)
a = x^2 - 4x (x times x is x^2, x times -4 is -4x)
