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Anestetic [448]

3 years ago

9

A ratio of equivalent values used to express the same quantity in different units

2 answers:

klio [65]3 years ago

6 0

<span>Conversion factor.

Hopefully this helps ! :)</span>

KiRa [710]3 years ago

5 0

Answer: There is something called the conversion factor.

For example, 1km is 1000 meters, so the conversion factor that goes from km to meters, is : $\frac{1000m}{km}$

And if you have a quantity expressed in kilometers, and want to write it in meters, you multiply it for the conversion factor.

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What is the circumference of a round pizza with an area of 36 square inches?

larisa [96]

Knowing that your area is: $A= \pi r^{2}=36 in^{2}$ you can find the radius as:
$r= \sqrt{ \frac{36}{ \pi } } =3.4 in$ ;
With this you can evaluate the circumference as:
$C=2 \pi r=2*3.14*3.4=21.3 in$

8 0

3 years ago

Juli2301 [7.4K]

Answer:

$slope (m) = -\frac{3}{2}$

Step-by-step explanation:

We can find the slope (m) by using coordinate pairs of any 2 points located along the slope of the line that we have on the graph.

This, let's use the coordinate pairs at:

x = -4, y = 2 (-4, 2) => (x2, y2)

x = 0, y = -4 (0, -4) => (x1, y1)

$slope (m) = \frac{y2 - y1}{x2 - x1}$

$slope (m) = \frac{2 -(-4)}{-4 - 0}$

$slope (m) = \frac{2 + 4}{-4 - 0}$

$slope (m) = \frac{6}{-4}$

$slope (m) = \frac{3}{-2}$

$slope (m) = -\frac{3}{2}$

4 0

3 years ago

The speeds of vehicles traveling on a highway are normally distributed with a population standard deviation of 7 miles per hour

True [87]

Answer: $(56.03\ ,63.97)$

Step-by-step explanation:

Given : The speeds of vehicles traveling on a highway are normally distributed .

Standard deviation: $\sigma: 7$

Since , sample size : $n=20$ , which is small sample (n<30) so the test applied here is a t-test.

Degree of freedom= $n-1=20-1=19$

Sample mean : $\overline{x}=60$

Level of significance : $1-\alpha:0.98$

Then , significance level : $\alpha: 1-0.98=0.02$

Using t-distribution table , Critical value : $\text{t-score}=t_{n-1, \alpha/2}= 2.539483$

The confidence interval for population mean is given by :-

$\overline{x}\pm t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$60\pm( 2.539483)\dfrac{7}{\sqrt{20}}\approx60\pm3.97=(56.03\ ,63.97)$

Hence, a 98% confidence interval for the population mean= $(56.03\ ,63.97)$

4 0

3 years ago

Match the scenarios to the equations.

Diano4ka-milaya [45]

Answer:

first one is -4+y=20 second is 4+y=-20

8 0

3 years ago

The circumference of a circle is 9π m. What is the area of the circle? ASAP!

liubo4ka [24]

Answer:

20.25 m²

Step-by-step explanation:

the area (A) and circumference (C) of a circle are calculated using the formulae

C = 2πr and A = πr² ( where r is the radius )

calculate the radius using the formula for circumference

2πr = 9π ( divide both sides by 2π )

r = $\frac{9\pi }{2\pi }$ = $\frac{9}{2}$ = 4.5, hence

A = π × 4.5² = 20.25π m²

4 0

4 years ago