The dimensions of a rectangular prism are shown in the diagram below. Write an expression that represents the volume of the rectangular prism?
Hint: Aprism= Length x width x heigh

V=(a4)(b6) units3

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

V=LWHV=LWH

In this problem we have

\begin{gathered}L=ab^2\\W=ab^3\\H=a^2b\end{gathered}L=ab2W=ab3H=a2b

substitute

V=(ab^2)(ab^3)(a^2b)V=(ab2)(ab3)(a2b)

Applying property of exponents

x^{m} x^{n}x^{r} =x^{m+n+r}xmxnxr=xm+n+r

V=(a^{4})(b^{6})\ units^3V=(a4)(b6) units3

circumference divided by 3.141592654 then timesthe radius twice

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;