7. What is the value of x to the nearest foot? *

Find the surface area of regular prism with height 6 cm, if the base of the prism is a Regular quadrilateral with side 4 cm.

marshall27 [118]

A "regular quadrilateral" is a square, so the length and width are both 4 cm. The surface area of a rectangular prism is given by
S = 2(LW +H(L +W))
S = 2((4 cm)*(4 cm) +(6 cm)*(4 cm +4 cm))
S = 2(16 cm² +48 cm²)
S = 2*64 cm² = 128 cm²

The surface area of the prism is 128 cm².

6 0

3 years ago

/viewform?hr submission=Chclk4feKBIQ.

Gennadij [26K]

Answer:

c) .22

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this question:

$\sigma = 2.5, n = 500$

Then

$M = z*\frac{\sigma}{\sqrt{n}}$

$M = 1.96*\frac{2.5}{\sqrt{500}}$

$M = 0.22$

5 0

3 years ago

The function. In the graph is f(x) =

Tanya [424]

Answer:

$x^3-2x^2-5x+6$

Step-by-step explanation:

We have been given a graph of the function f(x).

Now we need to use that graph to find the equation of the graph and match with the correct choice from the give choices:

$x^4-2x^2+5x+6$

$x^3-2x^2-5x+6$

$x^3-2x^2+5x+6$

$-x^4-2x^2+5x+6$

We see that graph has end points in opposite direction then the degree of polynomial must be ODD.

Available degrees are 3 and 4. Degree 3 is odd so it is choice B or C.

Only $x^3-2x^2-5x+6$ satisfies the given points from graph.

Hence correct choice is $x^3-2x^2-5x+6$ .

4 0

3 years ago

Ramona is a saleswoman whose base plus commissions amounted to $52,561 last year. If her base pay was $23,960 and she made $77,3

Ksju [112]

Answer:

37%

Step-by-step explanation:

If Ramona received an overall pay of $52,561 last year, $23,960 of which was base pay, we can first subtract these two numbers to find the amount she made from her sales commission:

$52,561 - $23,960 = $28,601

In order to find her percent commission, we can set up a proportion:

$\frac{p}{100}=\frac{28,601}{77,300}$ , where 'p' is her rate of commission

Cross-multiply and divide: 100(28601) = 77300x or 2,860,100 = 77,300x

Or x = 37%

8 0

3 years ago

Read 2 more answers

60% of a number is 567. what is 50% of the number

lozanna [386]

Answer:

945

Step-by-step explanation:

5 0

3 years ago