find the measure of each interior angle

Answer:

-4n + 5y + 6

Step-by-step explanation:

Distribute the negative

−4n + 5y + 6

There is really no answer for this but all you have to do is to multiply the figures outside the bracket by the ones inside the brackets.

Answer:

Total cost= $141.75

Step-by-step explanation:

Giving the following information:

Bernie's Bargains 6 DVDs for $56.70

Greg's Giveaways 10 DVDs for $99.70

Stan's Steals 8 DVDs for $79.68

First, we need to determine the unitary price of each and choose the lowest one:

Bernie= 56.7/6= $9.45

Greg= 99.7/10= $9.7

Stan= 79.68/8= $9.96

The lowest price is $9.45.

Now, the total cost of 15 DVDs:

Total cost= 9.45*15

Total cost= $141.75

Answer:

149.25

Step-by-step explanation:

Answer:

7 / 11

0.64 cents per pound of sugar

Answer:

Retail price = $5.20

Percentage of mark up price = 30%

Step-by-step explanation:

Company sells $4.00 each wholesale.

Now the local store which is the retailer has a markup of $1.20.

This means that the retail price is;

Retail price = wholesale price + mark up = $4.00 + $1.20

Retail price = $5.20

To find the percentage of the markup, it is the fraction of the wholesale price multiplied by 100%.

Thus;

Percentage of Markup is;

1.2/4 × 100% = 30%

Answer:

Example of commutative property of multiplication

Step-by-step explanation:

Answer:

what fraction ??

Step-by-step explanation:

I don't see the problem

Answer:

Jenna has 3 water bottles

Step-by-step explanation:

So R have 12 bottles and this 12 bottles is 4 times of J's bottle.

12 ÷ 4 = 3

So Jenna has 3 bottles

Answer:

The village market is better than Sam's Club

Step-by-step explanation:

If you buy 5 more cans of green beans at the village, it will cost $4.40 in total. Therefore if you go buy the beans at Sam's club, the village one will be cheaper.

Answer:

Contains two 6x6 triangles, contains one 12x3 rectangle, four 2x2 triangles, and two 2x2 squares.

88

Step-by-step explanation:

You only need the area of one side of this shape to find the total area.

((6*6)/2+(3*6)+(2*2)+(2*2))2 = 88. What's inside the parenthesis is the area for one side of the shape, then you can multiply that by two to get the entire area.

Answer:

17

Step-by-step explanation:

divide 1020 by 60

1020 ÷ 60 = 17

meaning that you go 17 mph

Answer:

17 hours.

Step-by-step explanation:

Formula

d = r * t

Givens

t = ?

d = 1020 miles

r = 60 miles per hour

Solution

1020 = 60 * t             Divide by 60

1020/60 = t

17 hours.

Answer:

D) NEGATIVE bcz these numbers lies on quadrant 2&4

..

Hope its helpful..

Thank you

Answer:

P(x ≥ 30) = 0.3859

Step-by-step explanation:

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

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

In this question, we have that:

[tex]\mu = 29, \sigma = 3.4[/tex]

This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 29}{3.4}[/tex]

[tex]Z = 0.29[/tex]

[tex]Z = 0.29[/tex] has a pvalue of 0.6141

1 - 0.6141 = 0.3859

So

P(x ≥ 30) = 0.3859

Answer:

0.3

Step-by-step explanation:

0.26?

0.3

Step-by-step explanation:

Using Binomial Expansion,

(x + y)³

= 3C0 * x³ + 3C1 * x²y + 3C2 * xy² + 3C3 * y³.

Therefore the coefficient of xy² is 3C2 = 3.

Answer:

The coefficient of the xy² term is 3.

For your question about xy⁵, the coefficient is 6

And for the x²y² question, it is also 6

Step-by-step explanation:

We can simply expand the expression to find the answer:

(x + y)³

= (x + y)(x + y)(x + y)

= (x + y)(x² + 2xy + y²)

= x³ + 2x²y + xy² + x²y + 2xy² + y³

= x³ + 3x²y + 3xy² + y³

So the term term containing xy² has a coefficient of 3

Now, there's actually a simple way to do this, and that's using Pascal's triangle.  If you're not familiar with it, here's a quick representation of the first few lines:

0                                    1

1                                  1     1

2                              1     2     1

3                           1     3     3     1

4                       1      4     6     4     1

5                    1      5    10    10    5    1

6                1      6     15   20   15    6    1

7             1      7     21   35   35   21   7    1

8         1      8     28   56  70   56   28  8   1

You'll notice that each number is simply the sum of the two numbers above it; below 4 and 6 wes see 10, below 20 and 15 is 35, etc.

This is very useful in this case, as the you may notice that the solution to each of the questions asked can be answered by this triangle.  For instance, when we solved (x + y)³, the coefficients of the terms were  1, 3, 3, and 1.  For a perfect square, it's 1, 2 and 1, and so on.  So to get the answers to your questions, you need only look at this triangle.

For example, want the the coefficent of the fourth term in the expansion of (x + y)⁷, it's easy, just look at the seventh row, and look for the fourth number, which would be 35.

But as we're given the x and y powers, but not the position of the term, we need to work that out as well.  Thankfully there's an easy trick to that.  The exponents will always be like this

[tex]x^{n}y^0 + x^{n - 1}y^1 + x^{n - 2}y^2 + ..... + x^2y^{n - 2} + x^1y^{n - 1} + x^0y^{n}[/tex]

where n is the number we're raising the binomial to.

We could put together an equation to solve this, but instead of going through a whole lesson, I'll just update the answer at the top.

Answer:

a

Step-by-step explanation:

Answer:

a) 0% probability that one car chosen at random will have less than 49.5 tons of coal

b) 0% probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 56, \sigma = 1.1[/tex]

a. What is the probability that one car chosen at random will have less than 49.5 tons of coal?

This is the pvalue of Z when X = 49.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49.5 - 56}{1.1}[/tex]

[tex]Z = -5.9[/tex]

[tex]Z = -5.9[/tex] has a pvalue of 0

So 0% probability that one car chosen at random will have less than 49.5 tons of coal.

b. What is the probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal?

Now we have [tex]n = 35[/tex], applying the Central limit theorem [tex]s = \frac{1.1}{\sqrt{35}} = 0.1859[/tex]

This is the pvalue of Z when X = 49.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{49.5 - 56}{0.1859}[/tex]

[tex]Z = -35[/tex]

[tex]Z = -35[/tex] has a pvalue of 0

So 0% probability that 35 cars chosen at random will have a mean load weight of less than 49.5 tons of coal

Answer:

-1, 1, 1, 1.5

Step-by-step explanation:

Just look at the y-axis to figure out the y -cooridnates.

Answer:  A: -1-,-1  B: -2,1  C: 2,1  D: 1.5, 1.5

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

10-2.5=7.5

Answer: 873.76

First find 1% of 2302 which will be 2302/100=23.02

to find 43% of 2302 multiply 1% of 2302 with 43

43*23.02 = 873.76

Answer:

The original price was $504.

Step-by-step explanation:

$353 represents 100% - 30% = 70% of the original cost.

353 / 70% = $504.28

The original price was; $504.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are Given that Amelia purchased a new mattress when it was on sale. The sale price was 30% less than the regular price. If the sale price was $353.

Therefore, 100% - 30% = 70%

$353 represents 70% of the original cost.

Noe, we have;

353 / 70% = $504.28

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

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Answer:

D: 50% on car payment and college savings

Step-by-step explanation:

225+375 = 600

50% of 1200 is 600

Answer:

2 pounds (Specifically 2.2 pounds)

Answer:

2.2lbs

Step-by-step explanation:

Answer:

9 hours im not really good at this but i hope i did my best ^.^ :)

It would take 31.5 hours for Dan to complete the same job.

Work is the effort applied to produce a deliverable or accomplish a task. A certain amount of time (T) is taken to complete a certain work (W).

Work Done = Time Taken × Rate of Work.

Rate of Work = 1 / Time Taken.

Time Taken = 1 / Rate of Work.

According to the question

Dan and Joan were able to clean the attic in 7 hours together

i.e

Rate of Dan = D

Rate of Joan = J

now,

Rate of Work = 1 / Time Taken.

D + J = [tex]\frac{1}{7}[/tex]

It takes Joan 9 hours to complete the same job alone

i.e

J = [tex]\frac{1}{9}[/tex]

Rate of Dan :

D + J = [tex]\frac{1}{7}[/tex]

D +  [tex]\frac{1}{9}[/tex] =  [tex]\frac{1}{7}[/tex]

D =   [tex]\frac{1}{7}[/tex] -  [tex]\frac{1}{9}[/tex]

D = [tex]\frac{2}{63}[/tex]

Therefore , Time taken by Dan  to complete the same job

As,

Time Taken = 1 / Rate of Work.  

Time taken by Dan = [tex]\frac{63}{2}[/tex]

                                 = 31.5 hr

Hence,  It would take 31.5 hours for Dan to complete the same job.

To know more about work and time relationship here:

https://brainly.com/question/3854047

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Answer:

the flagpole is 16 feet tall.

Step-by-step explanation:

A right angle triangle is formed.

The distance of the point on the ground from the base of the flagpole represents the adjacent side of the right angle. The height of the flagpole from the ground represents the opposite side of the right angle.

To determine the height, h of the flagpole, we would apply the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 53 = h/12

h = 12Tan53 = 12 × 1.327

h = 16 feet to the nearest whole number

Answer:

13.2/hour

Step-by-step explanation:

10% of 12 = 1.2

12+1.2=13.2