Select the correct answer. what is the simplified form of ? a. b. c. d.

Answer:

1/13  

Step-by-step explanation:

There are 4 aces in the 52-card deck   so prob = 4/52 = 1/13

There are 56 different ways of making pizza with 3 toppings.

8 pizzas will made with 3 different toppings

The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The following scatter plot represents the height of a basketball in seconds during a free throw shot.

(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.

(b) Write a function

We know that the quadratic equation is given as ax² + bx + c = y

This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have

[tex]\rm a + b + c = 9.3 \ \ \ \ \ \ \ ...1\\\\4a + 2b + c = 12.9 \ \ \ ...2\\\\9a + 3b + c = 14 \ \ \ \ \ \ ...3[/tex]

On solving the equations 1, 2, and 3. Then we have

a = -1.25, b = 7.35, and c = 3.2

Then the quadratic equation will be

y = -1.25x² + 7.35x + 3.2

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The statement "the number of people who shop at grocery stores each day will yield variability

This is the ability of a data to change. It determine the measure at which data points diverge that is far from each other.

For the number of people who shop at grocery stores each day." will yield variability since different set of people from different location to patronize the grocery shop.

The statement "the number of people who shop at grocery stores each day will yield variability

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[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2[/tex]

the idea behind the completion of the square is simply using a perfect square trinomial,  hmmm usually we do that by using our very good friend Mr Zero, 0.

if we look at the 2nd step, we have a group as x² - x, hmmm so we need a third element, which will be squared.

keeping in mind that the middle term of the perfect square trinomial is simply the product of the roots of "a" and "b",  so in this case the middle term is "-x", and the 1st term is x², so we can say that

[tex]\stackrel{middle~term}{2(\sqrt{x^2})(\sqrt{b^2})~}~ = ~~\stackrel{middle~term}{-x}\implies 2xb~~ = ~~~~ = ~~-x \\\\\\ b=\cfrac{-x}{2x} \implies b=-\cfrac{1}{2}[/tex]

so that means that our missing third term for a perfect square trinomial is simply 1/2, now we'll go to our good friend Mr Zero, if we add (1/2)², we have to also subtract (1/2)², because all we're really doing is borrowing from Zero, so we'll be including then +(1/2)² and -(1/2)², keeping in mind that 1/4 - 1/4 = 0, so let's do that.

[tex]-3~~ = ~~-2\left[ x^2-x+\left( \cfrac{1}{2} \right)^2 ~~ - ~~\left( \cfrac{1}{2} \right)^2\right]\implies -3=-2\left(x^2-x+\cfrac{1}{4}-\cfrac{1}{4} \right) \\\\\\ -3=-2\left(x^2-x+\cfrac{1}{4} \right)+(-2)-\cfrac{1}{4}\implies -3=-2\left(x^2-x+\cfrac{1}{4} \right)+\cfrac{1}{2} \\\\\\ -3-\cfrac{1}{2}=-2\left(x^2-x+\cfrac{1}{4} \right)\implies -\cfrac{7}{2}=-2\left(x-\cfrac{1}{2} \right)^2\implies \cfrac{7}{4}=\left(x-\cfrac{1}{2} \right)^2[/tex]

[tex]~\dotfill\\\\ \pm\sqrt{\cfrac{7}{4}}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}+\cfrac{1}{2}=x \implies \cfrac{\pm\sqrt{7}+1}{2}=x[/tex]

Answer:

see picture

Step-by-step explanation:

-1/2
1/4
1/2

Answer Question 1: Mean literal number 85.55556 Not sure if there allowing you to round to the nearest tenth of digit

Median 90

Mode 95

Range 35

Question 2: Median is the best way because it gives you the overall average of a set of numbers.

Question 3: The mean would change because if you are adding new numbers you have to recount the mean meaning there is now a new average.

Answer:

6

Step-by-step explanation:

3/5 of 30=18

18-30=12

half of 12 gets you 6

For the given absolute value function, we have that:

y > 0 in the intervals (-∞, -3) and (-1, ∞)

y < 0 in the interval (-3, -1)

y = 0 for x = -3 and x = -1.

When the function is positive?

The function is positive when the graph is above the horizontal axis.

Here, we can see that the intervals where the graph is above the horizontal axis is are (-∞, -3) and (-1, ∞)

When the function is negative?

The function is negative when the graph is below the horizontal axis. In this case, we can see that the only negative interval is (-3, -1)

When the function is zero?

The function is equal to zero when it intercepts the x-axis, in this case, the function is zero for x = -3 and x = -1

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Answer:

No

Step-by-step explanation:

4/9 divided by 5/7 is equal to 4/9 * 7/5 = 28/45. We can see that 63/20 is not equivalent to 28/45 as 28/45 is less than one and 63/20 is greater than one.

Step-by-step explanation:

30/100*32000=

960,000/100

=9,600 kilobytes.

Answer:

B would be my best answer, not sure tho

Answer:

Step-by-step explanation:

60 percent of $69.80 = $41.88

Answer:

27.92$

Convert 60% into its decimal form.(0.6)

When finding the part of the whole number and percent, you must multiply.

[tex]0.6 * 69.80 = 41.88[/tex]

Now, to find the actual price, subtract 60% of 69.8(41.88) by 69.8

[tex]69.8 - 41.88 = 27.92\[/tex]

Therefore, the item is on sale for 27.92$

Ask in the comments.

Answer:x=-14.75

Step-by-step explanation:

f(x) = -7x - 19=-19

g(x) = 0.75x + 4.25 =4.25

Answer: He will have ½ pints of milk left

Step-by-step explanation: 1½ + 1½ =3

3½-3=½

Answer:

Step-by-step explanation:

-11x - 72 = 84 + x

combine like terms on opposite side of =

(-11x )+ (-1x) = (84) + (72)

-12x = 156

divide both sides by -12 to isolate x

-12/-12 = 156/-12

x = -13

insert (-13)  for x

(-11 * -13) -72 = 84 + (-13)

71                =          71

equality means its right

The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,

[tex]3x+2y=12.5[/tex]

Solve this equation as,

[tex]2y=12.5-3x\\y=\dfrac{12.5-3x}{2}[/tex]                        .....1

Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,

[tex]2x+4y=13[/tex]

Put the value of y in this equation and solve it further,

[tex]2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3[/tex]

Put this value of x in equation 1,

[tex]y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75[/tex]

The cost of an order of 1 hamburger and 2 orders of fries is,

[tex]C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5[/tex]

Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.

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Answer:

49°

Step-by-step explanation:

∠XOZ = 90°

∠XOV = 41°

90 - 41 = x°

49 = x°

Answer:

13. 3

Step-by-step explanation:

Given Points:

(x1= 4, y1 = 11), (x2= - 9, y2 = 8)

Distance Formula:

d² = (x2 -x1)² + (y2 -y1)²

Substitute and Calculate:

d² = ( -9 -4)² + ( 8 -11)²

d² = (-13)² + (-3)²

d = √(169+9)

d = √178

d = 13.34166406 round to the nearest tenth

d = 13. 3

Answer:

  m = 39°

Step-by-step explanation:

The useful relations here are ...

__

Angle ACB subtends the same arc (AB) as angle ADB, so has the same measure, 36°. Then the sum of angles in triangle ACB is ...

  33° +36° +72° +m = 180°

  m = 180° -141° = 39°

Answer:

8/1

Step-by-step explanation:

To find slope you would do:

rise/run

Up and down is the rise

Left and right is the run

In your problem it goes up 8 and right 1

Answer:

10

Step-by-step explanation:

This is just a prediction but given that it lands on blue more times than any other color i would say 10 out of 16

Answer:

Refer to the 2 attachments .

____

Hope it helps ⚜

The experimental and theoretical probability for each result are:

                                    Theoretical  Experimental

P(5)                                      1/6              7/40

P( 1 or 6)                               1/3              7/20

P(no more than 4)                2/3             21/40

P(greater than 2)                  2/3                7/10

Probability determines the chances that an event would happen. Experimental probability is the probability of an event happening based on the result of an experiment that has been carried out multiples time.

Theoretical probabilities:

P(5) = number of sides with 5 / total number of sides = 1/6

P( 1 or 6)  = number of sides with 1 / total number of sides + number of sides with 6 / total number of sides  = 1/6 + 1/6 = 1/3                  

P(no more than 4)   = number of sides that is no more than 4 / total number of sides  = 4/6 = 2/3

P(greater than 2) = number of sides greater tha 2 / total number of sides   = 4/6 = 2/3      

Experimental probabilities:

P(5) =  number of times there was a result of 5 / total number of times the die was rolled = 7/40

P( 1 or 6) = (number of times there was a result of 1 / total number of times the die was rolled) + (number of times there was a result of 6 / total number of times the die was rolled )

2/40 + 12/40 = 14/40 = 7/20    

P(no more than 4) = sum of results no more than 4 / total number of times the die was rolled = ( 2 + 10 + 5 + 4) = 21/40

P(greater than 2) = sum of results greater than 2 / total number of times the die was rolled = (7 + 12 +5 + 4) / 40 = 28/40 = 14/20

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Answer:

2 weeks

Step-by-step explanation:

54.00 + 0.15 = 54.15

140/54.15 = about 2.5

Since she can only spend $140, she has to round down, so the answer is 2 weeks.

Answer:

The answer is 6 rides that cost $26.

Step-by-step explanation:

Plan A: $20 plus $1 per ride.

Plan B: $8 plus $3 per ride.

Turn that into a linear equation to graph.

Plan A: [tex]y=1x + 20[/tex]

Plan B: [tex]y=3x + 8[/tex]

The x-axis is rides and the y-axis is $.

On the graph appears that it takes 6 rides for Plan A and B to be the same a cost of $26.

Answer:

The mean is 80.875 or 81 rounded

Step-by-step explanation:

To find the mean of any set of numbers, you need to get the values added up together and the #values (how much numbers there are).

Formula setup: amountaddedup/#numbers

✔ When we plug in the values in the formula, you will get 80.875.

The mean of the given data is 80.75.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given data is 95, 45, 37,82 ,90,100, 91 ,78 , 67 ,84 ,85 ,85 , 82 , 91 , 93 , 92,76,  84, 100, 59 , 92,  77 , 68 and 88

Mean = Sum of the observations/ Total number of observation.

Sum of the observations = 95+ 45+37+82+90+100+91+78+67+84+85+85 +82 +91+93+92+76+84+100+59+92+77+68+88

=1941

Total number of observation= 24

Mean = 1941/24

=80.875

Hence, the mean of the given data is 80.75.

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