Write the fact family for these factors: 8, 64

Which of the following graphs has a zero at (-5)?

guapka [62]

Graph B would be the correct answer

6 0

1 year ago

A housepainter mixed 2 gallons of blue paint with

maria [59]

Answer:

Option D: 6:12 is correct answer.

Step-by-step explanation:

We can find the simplest form of ratio to compare it with the given ratios.

According to given statement,

The ratio is:

$No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2$

Now we will check if the given options can be simplified to 1:2

So,

Option A:

$8:12\\2:3$

Option B:

$8:24\\1:3$

Option C:

$3:5$

Option D:

$6:12\\1:2$

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.

Hence,

Option D: 6:12 is correct answer.

8 0

3 years ago

solve this problem so the hiking trails in roman nose park are 3.6, 7.9, 10.4, 5.7, and 3.5 miles long. Cindy and Geoff hiked tw

DENIUS [597]

Your answer is c 3.6 and 5.7 miles

6 0

2 years ago

What are the Rates of Change and the initial values to these? If you don't have the answer I'll take an explanation on how to do

gogolik [260]

Step-by-step explanation:

So, a coordinate plane is made out of two axis, the x and the y. Through these, we have grid squares on the plane showing points. So, each square would be one point. To find the <u>rate of change, or slope,</u> you would have to use the formula:

y(#2) - y(#1)

------------------ = Divided by

x(#2) - y(#1)

This formula will calculate the rate of change. I will do the first one for you as follows.

The first point I would find would be (1,3). 1 space on the X-axis, 3 on the Y-axis.

To write a ordered pair to represent the point on the plane, use the (X,Y).

Then, I'd find the second point.

Following the second point, I would do the equation like so.

y(2) - 3

-----------------

x(2) - 1

See, I used the first points given as the last X and Y variables in the formula.

Hope this helps you out!

4 0

2 years ago

Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t

alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

6 + 6 = 12 seeds, which means that $N = 12$

6 treated, which means that $k = 6$

Five sprouted, which means that $n = 5$

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076$

0.0076 = 0.76% probability that all five plants emerged from treated seeds

3 0

2 years ago