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mr Goodwill [35]
2 years ago
5

Factor out the GCF from the following polynomials.

Mathematics
1 answer:
Ber [7]2 years ago
5 0

Answer:

Step-by-step explanation:

i hope

the the answer is 2ab3(a4+3b3−7ab)

hope it helps.

sorry if it wrong

-Delilah

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The cost T, in dollars, of tuition and fees at Addison Technical College is $125 per credit plus an $85 registration fee. How ma
Sladkaya [172]

Answer:

13

Step-by-step explanation:

1710/125 = 13.68

You need

125 x 13 = 1710

A student could take 13 credits.

8 0
2 years ago
Every day, the Scott Pet Store uses 3 bags of dog food to feed the dogs. For how many days will 1/2 of a bag of dog food last?
nadezda [96]
If you would like to know for how many days will 1/2 of a bag of dog food last, you can calculate this using the following steps:

1 day ... 3 bags of dog food
x days = ? ... 1/2 of a bag of dog food

1 * 1/2 = 3 * x
1/2 = 3 * x         /3
x = 1/2 * 1/3
x = 1/6 of a day

The correct result would be 1/6 of a day.
4 0
2 years ago
The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard devia
atroni [7]

Answer:

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Let xS – xL represent the sampling distribution.

Mean s 6, means L 4. So

\mu = 6 - 4 = 2

Standard deviation s is 2.5, for L is 1.5. So

\sigma = \sqrt{2.5^2+1.5^2} = 2.915

Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.

We have to find the z-score for X = 2.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.5 - 2}{2.915}

Z = 0.17

This measure is just 0.17 standard deviations from the mean, so we should not be surprised.

7 0
2 years ago
Solve system of equation algebraically <br> y = 2x - 3<br> x + y = 18
natima [27]

Answer:

x = 7

y = 11

Step-by-step explanation:

Given the system;

y = 2x - 3

x + y = 18

1. Approach

The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.

2. Solve one of the equations for a variable

Manipulate the system such that each equation is solved for the same variable,

x + y = 18

Inverse operations,

x + y = 18

-18        -18

x + y - 18 = 0

   -y         -y

x - 18 = -y

3. Use elimination

Now substitute this back into the original system,

y = 2x - 3

-y = x - 18

Add the systems,

y = 2x - 3

-y = x - 18

_________

0 = 3x - 21

Inverse operations,

0 = 3x - 21

+21       +21

21 = 3x

/3    /3

7 = x

4. Find the value of the unknown variable

Backsovle to find the value of (y),

x + y = 18

Substitute,

7 + y = 18

Inverse operations,

7 + y = 18

-7        -7

y = 11

3 0
2 years ago
Read 2 more answers
A woodworking machine decreased the thickness of a board from 3/4 of in inch to 9/16 of an inch. by what number of inches (i) di
nataly862011 [7]

The thickness of the board was decreased from 3 / 4 inches to 9 / 16 inches.

Therefore,

\text{ the decrement = }\frac{3}{4}-\frac{9}{16}=\frac{12-9}{16}=\frac{3}{16}\text{ inches}

So the board's thickness in inches decreased by

\frac{3}{16}

6 0
10 months ago
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