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3 years ago

I need help figuring out the first step would it be adding up the like terms? help

Mathematics

1 answer:

Pie3 years ago

6 0

Answer: Add like terms

Step-by-step explanation:

For example, you would add 6x and 5x to make 11x, but there other two numbers you would leave alone.

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A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i

kondaur [170]

Given:
Volume of the cone = π r² h/3

radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r

V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
V = 3.14r³ / 12

4 0

3 years ago

Read 2 more answers

Please help me on number 31 please I beg you

Brums [2.3K]

Assuming the garden is a rectangle, the area is equal to length times width.

So 20x = 760.

Divide both sides by 20.

x = 760/20 = 38 ft

8 0

3 years ago

What number is a common multiple of 5 and 9?

Yakvenalex [24]

45 is the answer. It is the least common multiple of 5 and 9. Multiples of 5: 5, 10,15,20,25, 30, 35, 40, 45 and multiples of 9: 9, 18, 27, 36, 45

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3 years ago

A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0

oksian1 [2.3K]

<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\overline{x}\pm z^* SE$ (1)

, where $\overline{x}$ = sample mean

z* = critical value.

SE = standard error

and $SE=\dfrac{\sigma}{\sqrt{n}}$ , $\sigma$ = population standard deviation.

n= sample size.

As per given , we have

$\overline{x}=74.021$

$\sigma=0.001$

n= 15

It is known that ring diameter is normally distributed.

$SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199$

By z-table ,

The critical value for 95% confidence = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

$74.021\pm (2.576) (0.000258199)$ (using (1))

$74.021\pm 0.000665120624$

$74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)$ [Rounded to three decimal places]