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3 years ago

What do you divide (-2/3) with to get 3/10

Mathematics

1 answer:

podryga [215]3 years ago

4 0

Answer:

the equation forms like this

-2/3 divide x =3/10

Solve for

by cross multiplying.

Exact Form:

x=− 20/9

Decimal Form:

x=−2.¯2

Mixed Number Form:

x=−2 2/9

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3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447 gram setting. It is

lord [1]

Answer:

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 447 gram setting.

$H_0:\mu = 447\\H_a:\mu\neq 447$

Mean = $\mu = 447\\s = 21\\x = 443$

n = 19

Since n < 30 , so we will use t test

$t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}$

Substitute the values :

$t=\frac{443-447}{\frac{21}{\sqrt{19}}}$

$t=−0.8302$

t calculated = -0.830

degree of freedom = n-1 = 19-1 = 18

A level of significance=α=0.025

$t_{(df,\frac{\alpha}{2})}=2.093$

t critical = 2.093

t calculated < t critical

So, We failed to reject null hypothesis

Decision rule -0.830< 2.093 So, We failed to reject null hypothesis

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3 years ago

A sphere has a volume of 457.3 in^3. What is the radius of the sphere?

Ne4ueva [31]

Answer:

$\large\boxed{R\approx4.78\ in}$

Step-by-step explanation:

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have the volume V = 457.3 in³. Substitute:

$\dfrac{4}{3}\pi R^3=457.3\qquad\text{multiply both sides by 3}\\\\4\pi R^3=1371.9\qquad\text{divide both sides by 4}\\\\\pi R^3=342.975\qquad\text{divide both sides by}\ \pi\\\\R^3=\dfrac{342.975}{\pi}\qquad/\pi\approx3.14/\\\\R^3\approx\dfrac{342.975}{3.14}\\\\R^3\approx109.2277\to R\approx\sqrt{109.2277}\\\\R\approx4.78\ in$

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