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3 years ago

Look at the lines in the grid below. Which line represents a proportional relationship?

Mathematics

1 answer:

Aleks [24]3 years ago

8 0

Answer:

Line C

Step-by-step explanation:

I got it correct on my test on performance matters!!

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there is a population of 100,000 bacteria in a colony . if the number of bacteria doubles every 3 hours what will be 6 hours fro

kow [346]

Answer:

400,000 bacteria

Step-by-step explanation:

If we start at 100,000 and double every three hours until 6 hours, to colony will be at 400,000 bacteria.

First find out how many times it will double by dividing 6/3=2. It will double twice in 6 hours. Next double 100,000 once, to get 200,000. Then, double it once more to get to the final answer of 400,000 bacteria.

Hope this helps!

6 0

3 years ago

What is a quadratic equation? And how do you solve them?

Allisa [31]

Answer:

A quadratic equation is some thing like

(x+2)^2

(x+2)(x+5)

In order to solve them, the most basic method is the FOIL method

F-First

O-Outside

I-Inner

L-Last

So for example

(x+2)^2

Which is basically

(x+2)(x+2)

So the first is the 2 Xs

(x+2)(x+2)

x*x=x^2

The outer is the x and the 2,

(x+2)(x+2)

2*x=2x

Now the Inner which is the 2 and the x

(x+2)(x+2)

2*x=2x

And finally the last which is the 2 and the second 2

(x+2)(x+2)

2*2=4

Now add them all up

X^2+2x+2x+4

Combine like terms

x^2+4x+4

There you have it

Do the same with every other quadratic equation

3 0

3 years ago

Suppose you are the manager of Speedy Oil Change which claims that it will change the oil in customers’ cars in less than 30 mi

Veronika [31]

Answer:

Explained below.

Step-by-step explanation:

(1)

The hypothesis can be defined as follows:

H₀: The Speedy Oil Change will change the oil in customers’ cars in more than 30 minutes on average, i.e. μ > 30.

Hₐ: The Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average, i.e. μ ≤ 30.

(2)

Use Excel to compute the sample mean and standard deviation as follows:

$\bar x=\text{AVERAGE(array)}=24.917\\\\s=\text{STDEV.S(array)}=8.683$

Compute the test statistic as follows:

$t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{24.917-30}{8.683/\sqrt{36}}=-3.51$

The degrees of freedom is:

df = n - 1

= 36 - 1

= 35

Compute the p-value as follows:

$p-value=P(t_{35}$

(3)

The p-value = 0.0006 is very small.

The null hypothesis will be rejected at any of the commonly used significance level.

(4)

There is sufficient evidence to support the claim that the Speedy Oil Change will change the oil in customers’ cars in less than 30 minutes on average.