If we are running a 20% off promotion, how much would a customer
save if she purchased an item originally priced $200?"
The customer would save how much ?

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Answer:

  a) t18,10 + t18,11

  b) t24,15 + t24,16

  c) t13,6 +t13,7

Step-by-step explanation:

Each term of Pascal's triangle is the sum of the two terms above it in the triangle:

  tn,r = t(n-1),(r-1) +t(n-1),r

__

a) t19, 11 = t18,10 + t18,11

b) t25,16 = t24,15 + t24,16

c) t14,7 = t13,6 +t13,7

Answer:

1x1=1

9x6 =54

18×6=108

54×6=324

10x2=​20

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

$1.50

»»————-　★　————-««  

Here’s why:  

Assuming that the cake has one slice per person (16 slices):

⸻⸻⸻⸻

[tex]\frac{\text{price}}{\text{slice}}\\\\\rightarrow \frac{24}{16}\\\\\rightarrow \boxed{1.50}[/tex]

⸻⸻⸻⸻

Each slice should cost $1.50.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

{3, 5, 7}

Step-by-step explanation:

From our knowledge of mapping, the domain is mapped to a range as given in the diagram above, the first set given is the domain while the seet which the arrow points to is the range, therefore, in simple terms, the range of the diagram given is the set {3 5, 7}

Answer: 6/8 <;3..?

Step-by-step explanation:

Answer: The equation of a line is y+6=-9(x-1). The slope of the line is -9 and the y-intercept is 3. A point on the line is (0, 3)

Step-by-step explanation:

Let's start by putting it in slope intercept form.

First use the distributive property

[tex]y+6=-9(x-1)\\y+6=(-9)(x)+(-9)(-1)\\y+6=-9x+9[/tex]

Now subtract 6 from both sides

[tex]y+6-6=-9x+9-6\\y=-9x+3[/tex]

Now it is in slope intercept form (y=mx+b)

In slope intercept form the slope of the line is the value m. In our equation the value m is -9 making that our slope.

In slope intercept form the y-intercept of the line is b. In our equation the value of b is 3 making that our y-intercept.

To find a point on the line we can sub x with any number to find the y so that we can find the coordinate.

[tex]y=-9(0)+3\\y=0+3\\y=3[/tex]

A point on the line is (0, 3)

Answer:

So, After simplify : [tex](2x+1)^3=8x^3+12x^2+6x+1[/tex]

Step-by-step explanation:

Given question :

[tex](2x+1)^3[/tex]

Now,

Applying this formula

[tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex]

So,

[tex](2x+1)^3=(2x)^3+1^3+3(2x)(1)(2x+1)\\\\ (2x+1)^3 =8x^3+1+6x(2x+1)\\\\ ( 2x+1)^3 =8x^3+1+12x^2+6x\\ (2x+1)^3 =8x^3+12x^2+6x+1[/tex]

Answer:

3x 0r 2x1

Step-by-step explanation:

Answer:

12x+19

Step-by-step explanation:

First you would find the like terms. There is 9x and 3x, and 5, 2, 4, and 8. If you combine 9x and 3x, you get 12x, and if you combine 5, 2, 4, and 8, you get  19. You then combine your two answers to get 12x+19.

Answer:

12x + 19

Step-by-step explanation:

Add the exponents and then add the numbers.

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Answer:

  136

Step-by-step explanation:

The x-value at one end of the beam will be where f(x) = 0.

  0 = -x²/272 +17

  x² = 17(272) = 4624

  x = ±√4624 = ±68

The beam extends from x=-68 to x=68, so has a width of ...

  68 -(-68) = 136

__

Note that the x in the equation for f(x) is not the same as the x in the picture corresponding to width.

Answer:

Step-by-step explanation:

1. 52:39

Divide both sides by 13:

= 4:3.

2.  4/16 : 23

= 1/4 : 23

= 1 :92.

3. 8:56

= 1:7.

4. ?

5. 40 cm 5 m

= 40 : 500

= 4:50

= 2:25.

Answer:

its 9 plus 9 and equals 19.0

Answer:

Y: 0, x:0

Y:1, x: 3

Y: 2, x: 6

Y: 3, x:9

Step-by-step explanation:

Plug in the x to get the y

Answer:

Change the value from negative to positive

Or

Change the value from positive to positive

Step-by-step explanation:

It is very simple

Any number's absolute value should be positive

Let's say absolute value of 3 - >answer is 3

But absolute value of - 3 - > is also 3

Hope you understood it.

Answer:

In math students think that the function just removes negative signs, and actually that is basically what happens...

BUT !!! the definition that you want is that absolute value is a measure of how far (distance) you are from ZERO.... and note that distances are not negative...

If you run out of gas one mile in front of behind a gas station, you have to travel "one mile" you don't walk "negative one mile"...

forward one mile or backward one mile are both "one mile" just in different directions

Step-by-step explanation:

Answer:

.6315 or 63.15%

Step-by-step explanation:

not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38  numbers on the wheel (and they are less than 12)

24/38 = .6315

Answer: The given statement is true.

Step-by-step explanation:

Significant figures are defined as the figures that are present in a number. It expresses the magnitude of a quantity to a specific degree of accuracy.

There are some rules to detect the significant figures in a number:

Rule applied when numbers are added or subtracted:

The number having less number of significant figures after the decimal point will determine the number of significant figures in the final answer.

Hence, the given statement is true.

Answer:

225in

Step-by-step explanation:

Answer:

0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.

This means that [tex]\mu = 112, \sigma = 12[/tex]

What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?

This is the p-value of Z when X = 90. So

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

[tex]Z = \frac{90 - 112}{12}[/tex]

[tex]Z = -1.83[/tex]

[tex]Z = -1.83[/tex] has a p-value of 0.0336

0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.

Answer:

it gotta be d cause i went with my instinct.

Step-by-step explanation:

solve write it out.

Answer:

[tex]3\sqrt{10}[/tex]

Step-by-step explanation:

Answer:

5/4 or

1 and 1/4

Step-by-step explanation:

1/2 + 3/4 =  

1 × 2

2 × 2 + 3/4

=

2/4 + 3/4

=

2 + 3

----------

    4

so  

5/4 or

1 and 1/4

18

Step-by-step explanation:

hduduxjajahxhuddixisuduvic

Answer:

one

[tex] \frac{1}{2} (x + 12) = 4x - 1 \\ x + 12 = 8x - 2 \\ 7x = 14 \\ x = 2[/tex]

Given:

The two points on the graph.

To find:

The distance between the two points in simplest radical form.

Solution:

From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:

[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]

[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]

[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]

On further simplification, we get

[tex]d=\sqrt{36+25}[/tex]

[tex]d=\sqrt{61}[/tex]

Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.

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Answer:

  f(x) → ∞ as |x| → ∞

Step-by-step explanation:

The degree is even and the leading coefficient is positive. When the magnitude of x gets large (either positive or negative), the value of f(x) will be a large positive number.

  f(x) → ∞ as |x| → ∞

Answer:

a. The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.

b. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.

c. The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.

d. The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.

e. The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.  

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.  

First 2000, so convenience.

The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.

Every kth element, k = 1500, so systematic.

The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.

Randomly selects 2000 people, so random sampling.

The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.

Divides the population into groups(by state), and a few members of each group are surveyed, so stratified.

The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.

Each element of the cluster is surveyed, so cluster sampling.

Answer:

View the graph for a visual

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]

f'(x)=0, gives x=-2

we find f(x) at x=-3,-2,1

f(-3)=-3e^(-3/2)≈-0.67

f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74

f(1)=1 e^(1/2)=√e≈1.65

Answer:

0

Step-by-step explanation:

3(x+6)=18

3x+18=18

3x=18-18

3x=0

3x/3=0/3

x =0