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3 years ago

13

Nathan and Noah each bought a video game. Nathan spent $62.40 on his game. Noah spent 3/4 as much as Nathan. How much did Noah s

pend on his video game?

1 answer:

Firdavs [7]3 years ago

4 0

Answer:Noah spent $46.80 on video game.

Step-by-step explanation:

Amount spent on game by Nathan =$62.40

Amount spent on game by Noah =3/4 as much as Nathan.

Therefore Noah spent 3/4 x $62.40= $46.80 on video game.

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

<u><em>Step(ii)</em></u>:-

<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.

<u><em>Alternative hypothesis: H₁:</em></u>

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

<em>Degrees of freedom ν = n-1 = 19-1 =18</em>

<em>t₀.₀₂₅ = 3.19</em>

<u><em>Final answer:</em></u><em>-</em>

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

8 0

3 years ago

Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre

german

Answer:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula

$V=\frac{1}{3}\pi r^2 h$

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

8 0

3 years ago

The volume of a cylinder of radius r and height h is given by V = π r 2 h. Then the height, in terms of the radius and volume, i

sdas [7]

Hello There!

It is represented as: h = $\frac{v }{ \pi r^{2} }$

Hope This Helps You!
Good Luck :)

- Hannah ❤

5 0

3 years ago

Read 2 more answers

Find the volume of the cone

irina1246 [14]

Answer:

The volume of the cone is 12936 cubic mm.

Step-by-step explanation:

Given

Circumference of base = 132 mm

Height of the cone = 28 mm

Solution

Formula of circumference = $2\pi r$ = 132 mm

$\therefore\ r= \frac{132}{2 \pi } = 21 mm$

Now volume of cone = $\frac{1}{3} \times\pi \times r^{2} \times h$

on substituting the value of r and h we get ;

$\frac{1}{3}\times\frac{22}{7} \times21\times21\times28= 12936\ mm$

thus volume of cone is 12936 cubic mm.

4 0

3 years ago

Which is a correct first step for solving this equation? 4x=7+3(2x−5)

jeka94

Doing (2x-5) first is what

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3 years ago

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