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2 years ago

A circle has the circumference of 12TT inches. What is the radius, in inches, of the circle?

Mathematics

1 answer:

nlexa [21]2 years ago

5 0

Answer:

If the number is 12 inches then the radius is probably 1.909859317 π inches

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Solve the systems using substitution. − 2x − 5y = − 5 x = 5y − 20

Law Incorporation [45]

-2(5y-20) - 5y = -5
-10y + 40 - 5y = -5
-15y + 40 = -5
-15y = -45, y = 3
x = 5(3) - 20
x = 15 - 20, x = -5
Solution: x = -5, y = 3... or (-5,3)

7 0

3 years ago

An automobile manufacturer claims that its jeep has a 53.9 miles/gallon (MPG) rating. An independent testing firm has been contr

Advocard [28]

Answer:

Value of the test statistic, $z_{test} = - 1.17$

Step-by-step explanation:

Null hypothesis, $H_{0}: \mu = 53.9$

Alternative hypothesis, $H_{a} : \mu \neq 53.9$

Sample mean, $\bar{X} = 53.7$

Sample size, n = 110

Standard deviation, $\sigma = 1.8$

Significance level, $\alpha = 0.02$

The value of the test statistics is given by the formula:

$z_{test} = \frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt{n} } } \\z_{test} = \frac{53.7 - 53.9}{\frac{1.8}{\sqrt{110} } } \\z_{test} = - 1.17$

7 0

3 years ago

Todd is attempting to predict how much money his furniture company will make based on the amount raw materials the company curre

const2013 [10]

Average profit from the sale of 1 piece of furniture = 3x + 1 Average number of pieces of furniture that can be made using current supply of raw materials = 3x - 1. Therefore, Average profit of total furniture = Average profit X Average total of furniture sold = (3x + 1) X (3x - 1) = 9x^2 - 1

8 0

3 years ago

A football is kicked into the air. The height of the football can be modeled by the equation

Alinara [238K]

Answer:

x = 0 and x = 1

Step-by-step explanation:

Given that,

A football is kicked into the air. The height of the football can be modeled by the equation :

$h = -16x^2 + 16x$

Where

h is the height reached by the ball after x seconds

When it touches the ground, h = 0

So,

$-16x^2 + 16x=0\\\\16x(-x+1)=0\\\\x=0\ and\ x=1$

So, it will touch the ground at x = 0 and x = 1 seconds.

6 0

3 years ago

Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot

Lady_Fox [76]

In order to solve this problem, you need to use a geometric series:
$S_{n} = \frac{ a_{1}(1 - r^{n}) }{1 - r}$
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
 $S_{n} = \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}$
= 219783.60 $

Luke's total earnings in five years are 219783.60 $.

6 0

3 years ago