3 years ago

Given the equation 8+ 9x = 89 Is x=9 a solution to the equation?

Mathematics

1 answer:

tamaranim1 [39]3 years ago

8 0

Answer:

X=9

Step-by-step explanation:

That is correct, 8 + 9(9) = 89

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4 years ago

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A hollow shaft has a cross-sectional area 125.6cm2 and a bore of 8cm in diameter. Calculate the outer diameter of the shaft to 2

hichkok12 [17]

Answer:

The outer diameter of the shaft to 2s.f is 12.65cm

Step-by-step explanation:

We know that the expression for the area of a circular cross section is

A= $\frac{\pi d^2}{4}$

given data

area of cross section= $125.6cm^2$

bore diameter d= 8cm

from the area of cross section we can solve for the outer diameter D

$Area of cross section=\frac{\pi D^2}{4} \\\\125.6= \frac{3.142*D^2}{4}$

solving for D we have

$3.142*D^2= 125.6*4\\\3.142*D^2= 502.4\\D^2= \frac{502.4}{3.142} \\D^2= 159.8981\\D=\sqrt{159.8981} \\D= 12.6450\\D= 12.65cm$

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3 years ago

In the year 2000, the average car had a fuel economy of 22.6 MPG. You are curious as to whether the average in the present day i

Lera25 [3.4K]

Answer:

The appropriate null hypothesis is $H_0: \mu = 22.6$

The appropriate alternative hypothesis is $H_1: \mu < 22.6$

Step-by-step explanation:

The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.

At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:

$H_0: \mu = 22.6$

At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So

$H_1: \mu < 22.6$

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3 years ago