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sukhopar [10]
3 years ago
13

When using the binomial formula, which of the following is a correct step in the expansion of (x+y)4

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0
X+y=4 is a correct step
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Graph the linear equations (with all steps shown); <br>4y - 3x = 11 and 2y + 3x = 31 ​
azamat

Answer:

Step-by-step explanation:

i put this in a desmos graphing calculator

4 0
2 years ago
Tony and his three friends live in Albuquerque, New Mexico, but they all attend college in Boston, Massachusetts. Because they w
astra-53 [7]

Hello...


Tony and his three friends live in Albuquerque, New Mexico, but they all attend college in Boston, Massachusetts. Because they want to have a car at school this year, they are planning to drive Tony's car from Albuquerque to Boston at the beginning of the school year. Although they'll each pay for their own food during the road trip, the friends plan to split the costs for gas and hotels evenly between the four of them.

Estimate the total cost that each friend will have to pay for gas and hotels. Explain how you got your answer. Here are some figures that may help you out:

•Tony's car can travel 28 miles for each gallon of gas.

•The average fuel cost at the time of their trip is $3 per gallon.

•They plan to drive about 650 miles each day.

•They estimate the average cost of a hotel each night is $85.

•They will drive approximately 2,240 miles to get from Albuquerque to Boston.


Solution:

Cost of Gas:

2240 / 28 x 3 = $240

Cost of Lodging:

85 x floor2240 / 650 = $255

Cost of both: $240 +255 = $495.

The cost for a 1/4 share is $495/4 = $123.75.

4 0
3 years ago
Select all the common denominators for
Vitek1552 [10]

Answer:

B, E

Step-by-step explanation:

There are a few ways to check for common denominator.

Here is one method

Take the 4 and 10 and see if both numbers will  go into the numbers evenly. If they do, it is a common denominator

<u>Will 4 and 10 divide evenly into 10 ?</u>

4 will not go into 10 evenly

10 is not a common denominator.

<u>Will 4 and 10 divide evenly into 20?</u>

4 will go into 20 evenly. 20 /4 = 5

10 will go into 20 evenly 20 / 10 =  2

So 20 is a common denominator

<u>Will 4 and 10 divide evenly into 24?</u>

4 will go into 24 evenly 24 / 4 = 6

10 will not go into 24 evenly

24 is not a common denominator

<u>Will 4 and 10 divide evenly into 32?</u>

4 will go into 32 evenly 32 / 4 = 8

10 will not go into 32 evenly

32 is not a common denominator

<u>Will 4 and 10 divide evenly into 40?</u>

4 will go into 40 evenly 40/4 = 10

10 will go into 40 evenly 40 / 10 = 4

40 is a common denominator

3 0
3 years ago
A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and select
podryga [215]

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.626

The confidence interval is:

\overline{x} \pm M

In which \overline{x} is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that \overline{x} = 6.2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

\overline{x} \pm M = 6.2 \pm 2.626(0.21)

And the correct answer is given by option c.

5 0
3 years ago
What’s the answer? Because am having a hard time with this math problem.
Studentka2010 [4]

9514 1404 393

Answer:

  34.5 square meters

Step-by-step explanation:

We assume you want to find the area of the shaded region. (The actual question is not visible here.)

The area of the triangle (including the rectangle) is given by the formula ...

  A = 1/2bh

The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...

  A = (1/2)(11 m)(9 m) = 49.5 m^2

The rectangle area is the product of its length and width:

  A = LW

The figure shows the rectangle is 5 m high and 3 m wide, so its area is ...

  A = (5 m)(3 m) = 15 m^2

The shaded area is the difference between the triangle area and the rectangle area:

  shaded area = 49.5 m^2 - 15 m^2 = 34.5 m^2

The shaded region has an area of 34.5 square meters.

7 0
3 years ago
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