What is the probability of a customer buying a carrot at this store?
A 10%
B 19%
C 21%
D 27.5%

Probability helps us to know the chances of an event occurring. The probability that a randomly selected student is a junior is 0.35.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability that a randomly selected student is a junior will be,

P(Junior) = [(Number of Juniors)\(Number of total students)]

P(Junior) = 35/100 = 0.35

Hence, The probability that a randomly selected student is a junior is 0.35.

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Answer: 300 ft

Step-by-step explanation:

100*3 = 300

First Case

[tex]|7x+42|=14x\\\\7x+42=14x\\\\42=7x\\\\6=x[/tex]

Second case

[tex]-|7x+42|=14x\\\\-7x-42=14x\\\\-42=21x\\\\-2=x[/tex]

Verify into first case

[tex]|7(6)+42|=14(6)\\\\|84|=84\\\\84=84\\\\LS=RS[/tex]

[tex]|7(-2)+42|=14(-2)\\\\28\neq -28\\\\LS\neq RS[/tex]

The solution is 6 and the extraneous solution is -2, which makes the answer C.

Answer:

181.46 = A

Step-by-step explanation:

pi X r^2 is the area of a circle

the diameter is already given so you can skip the radius an jump straight into pi X d diameter = (r^2) giving you area pi X diameter

[tex]\Large\textsf{\textbf{Answer\::}}[/tex]

view explanation please !

[tex]\Large{\textsf{\textbf{Calculations\::}}[/tex]

What are we asked to do ?

We are asked to isolate w (get w by itself) .

To do that , divide by lh on both sides :

[tex]\displaystyle\frac{V}{lh} = w[/tex]

So the right formula  is :

[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] [tex]\displaystyle\frac{V}{lh} =w[/tex]

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer:

w = v/lh

Step-by-step explanation:

v = lwh

Divide both sides by lh

w = v/lh

Answer:

3m

Step-by-step explanation:

From the diagram,

height = 7m

Width = 2m

Given that the volume of prism = 42 cubic meters = 42m³

Length of prism = ?

Inserting the values of the variables:

42 = l×2×7

42 = 14×l

l = 42/14

l = 3

The length of the prism = 3m

Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Answer:

The answer would be D.

Step-by-step explanation:

Hope this Helps! Have a good day!

Answer:

D is the answer

Step-by-step explanation:

 is the answer to the question.  

To understand these questions, first look at the way the answers are written out.

Alia questions three students from her class, that might be an answer, but she didn't randomly pick them.

Miles randomly surveys a group of customers at a coffee shop, that might be one, but he might have surveyed a 25 year old instead of a 24 year old, so thats not one.  

Carson interviews students working part-time to gather data, he didn't select random students, he interviewed all of them, so that is not a valid option.

 Lea speaks with the managers at half of the town's 10 supermarkets, which stock similar items, to find out which breakfast cereal is most popular among the town's residents, that one is not stating that she interviewed, but she interviewed half of the 10, which is five, which can be selected randomly.  

So the correct answer is D.  

Answer:

A)  2x3 + 11x2 + 8x - 16.

Step-by-step explanation:

s(x).t(x) = (x + 4)( 2x2 + 3x - 4)

= x(2x2 + 3x - 4) + 4( 2x2 + 3x - 4)

= 2x3 + 3x2 - 4x + 8x2 + 12x - 16

= 2x3 + 11x2 + 8x - 16

Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation:

y = 30x

Here, x represent the number of hours and y represent the number of miles.

When x = 12 hours then

y = 30(12) = 360 miles

If draw the graph the equation y = 30x, it will be a linear equation.

(refer attached picture)

Thus, Traci will be 360 miles in 12 hours if the linear equation y = 30x describes how far from home Traci is as she drives from Dallas to Anchorage and the equation of the graph is linear.

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Answer: 7/7

Step-by-step explanation:

         7/7 simplifies to 1/1 which is equal to one. One is the same as one whole, so this is the answer to our question.

         7/1 is also wholes but it is seven wholes, not one.

[tex]\displaystyle \frac{7}{7} =\frac{1}{1}=1[/tex]

Answer:

7/7

Step-by-step explanation:

If the numerator matches the denominator, then it is one whole.

Why did you delete my answer

Answer: No

Step-by-step explanation:

     If we rotate them so they are both facing the same direction, the congruency between sides and angles do not make the two triangles congruent as a whole.

    See attached for the pictures I drew of the triangles rotated. They are not to scale, but I kept the markings on.

The lengths of segment which is the part of a 12 inch line segment  closest to the golden ratio, (1+√5)/2 are 7.4166 inch and 4.5834 inch.

The value of golden ratio is equal to 1.618. It can also be given as (1+√5)/2.

A 12 inch line segment is divided into the two parts in a particular ratio. Let suppose the line segment is AC which is divided into AB and BC parts. Thus,

AB+BC=AC

AB+BC=12                   ....1

The ratio of both segment is equal to golden ratio. Thus

[tex]\dfrac{AB}{BC}=\dfrac{AC}{AB}=\dfrac{1+\sqrt{5}}{2}\\\dfrac{12}{AB}=1.618\\AB=7.4166 \rm\; in[/tex]

Put this value in equation one as,

AB+7.4166=12    

AB=4.5834

Hence, the lengths of segment which is the part of a 12 inch line segment  closest to the golden ratio, (1+√5)/2 are 7.4166 inch and 4.5834 inch.

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Answer:

Distributive Property

Step-by-step explanation:

It looks like you are multiplying the 6 to both the 3 and 8.

Answer:

ΔABC is a right triangle

length of the concession stand = 42.4 ft (nearest tenth)

Step-by-step explanation:

Given:

We can use Pythagoras' Theorem to prove if ΔABC is a right triangle.

Pythagoras' Theorem: a² + b² = c²  (where a and b are the legs, and c is the hypotenuse of a right triangle)

Given:

⇒ a² + b² = c²

⇒ 30² + 40² = 50²

⇒ 900 + 1600 = 2500

⇒ 2500 = 2500

Therefore, ΔABC is a right triangle

To find the diagonal of square A, use Pythagoras' Theorem:

Given:

⇒ a² + b² = c²

⇒ 30² + 30² = c²

⇒ 900 + 900 = c²

⇒ c² = 1800

⇒ c = √(1800)

⇒ c = 42.42640687

Therefore, the length of the concession stand (diagonal of square A) is 42.4 ft (nearest tenth)

Answer:

Your answer is D. y = |x + 3| - 4

Step-by-step explanation:

Looking at the graph there seems to be only translations shift. There is no vertical stretch/shrink or Horizontal stretch/shrink

Absolute formula: y = |x - h| + k

Your (h,k) = (-3, -4) plug them into the absolute formula.

y = |x - (-3)| + (-4)

y = |x + 3| - 4

Answer:  A) 480

Step-by-step explanation:

x=20 substitute in the two equations

48(20)+37

24(20)+37

since the question said fewer , then you should subtract

48(20)+37 - 24(20)+37 = (960+37) - (480+37)

=923 - 443= 480

Students will have 517 hats to sell, that is 480 fewer than determined.

The correct option is B.

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Given,

Total hats = Left hats of last year + 20 boxes of hats newly ordered

Total hats

f(x) = 48x + 37

where x is number of boxes

But number of hats per box changes,

h(x) = 24x + 37

fewer no. of hats than determined

f(x) - h(x) = 48x + 37 - 24x - 37

f(x) - h(x) = 24x

No. of boxes = 20

No. of hats fewer than determined = 24 × 20 = 480

And no. of hats available

h(20) = 480 + 37

h(20) = 517

No. of hats available to sell = 517

Hence, 517 hats are available to sell that is 480 fewer hats than determined

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Answer: Choice A

Explanation:

The number [tex]\sqrt{8}[/tex] is irrational. We cannot write it as a ratio or fraction of two integers. This is because 8 isn't a perfect square.

Multiplying any irrational number with a rational one leads to an irrational product.

In short:

irrational*rational = irrational

Therefore, the perimeter [tex]4\sqrt{8}[/tex] is also irrational.

Answer:

The answer is A.

In May, there were about 5,500 dollars in sales.

In June, there were 8,000 dollars in sales.

In July, there were about 2,500 dollars in sales.

In August, there were 6,000 dollars in sales.

To find the range, subtract the smallest amount from the largest amount.

$8,000 - $2,500 = $5,500

Therefore, the range is $5,500.

Answer: 6,375

Step-by-step explanation:

Answer:

The given quadratic has two solutions.

Step-by-step explanation:

The discriminant of a quadratic equation is [(b^2) - (4 * a * c)]

We're given the quadratic x^2 - 8x - 84 = 0

We can find a, b, and c by analyzing the quadratic.

So,

a = 1 because x^2 has no coeffiecient

b = -8 ( coefficient of 8 * the - )

c = -84 the raw y-intercept value of this function

Now we can plug these numbers into the discriminant expression:

(-8)^2 - ( 4 * 1 * -84 ) =

64 - ( - 336 ) =

64 + 336 =

400

Now that we know the value of the discriminant, we have to anazlyze it.

If the discriminant of a quadratic is positive, the quadratic has 2 solutions.

If the discriminant is negative, the quadratic has no solutions.

If the discriminant is equal to zero, the quadratic only has 1 solution.

In conclusion, because the discriminant = 400, and 400 > 0, the given quadratic equation has two solutions.

Answer:

-17 + -15 = -32

Step-by-step explanation:

-15 is two less than -17

-17 can be m and -15 can be n and vice versa.

*REMEMBER WHEN ADDING NEGATIVE NUMBERS, ADD THEM BUT MAKE SURE THE OUTCOME IS NEGATIVE*

Answer:

x/y = 5/9

Step-by-step explanation:

sum = count * mean

for the group of x students:

sum = x * 76

let's say this sum is a

a = 76x

for the group of y students:

sum = y * 90

let's say this sum is b

b = 90y

total sum = total count * total mean

total sum = total sum from both groups = a + b

total count = total count from both groups = x + y

a + b = (x+y) * 85

expand

a + b = 85x + 85y

a = 76x

b = 90y

replace a with 76x and b with 90y in the first equation. this limits the equation to x and y, which we want because we want to find x/y

76x + 90y = 85x + 85y

subtract 76x and 85y from both sides to limit the amount of numbers

5y = 9x

divide both sides by 9 to isolate the x

(5/9)y = x

divide both sides by y to get x/y

x/y = 5/9

Explanation:

The Great Divide commonly refers to the continental divide of North America. The watersheds of the Pacific Ocean are separated from the Atlantic Ocean by the Great Divide. Green River watershed is located to the west of the endorheic basin, and it is drained to the Gulf of California/Pacific Ocean.

The water flowing to the Pacific Ocean is separated from the water flowing to the Southern and Indian Oceans. Various

water sheds can be efficiently fed through Great Divide.

The water is gathered and depleted into water bodies like waterway, lake or stream correct answer is option C i.e. They flow into the same drainage basin.

The land region which gathers water is likewise called a drainage bowl or catchment region. It monitors water, advances the proceeded with stream of the waterway. It helps in the amassing of groundwater, empowers solid soil and furthermore gives territory to untamed life and plants.

Here, we have,

A drainage bowl addresses the land region which is contributing water to a stream. The water commitment can be straightforwardly toward a solitary stream, or toward a few streams that stream into a bigger, focal stream.

Fundamentally, the drainage bowl has a stream going through it, in its least part. The land is getting on rise to the side structure the stream, and the edges of the slopes or mountains are making up its limits.

The water is gathered and depleted into water bodies like waterway, lake or stream correct answer is option C i.e. They flow into the same drainage basin.

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Answer:

  g(x) = 10(x +1)² +5

Step-by-step explanation:

When a point is translated 3 units down, its y-value is 3 less than it was. The graph of f(x) is translated 3 units down by subtracting 3 from the value of f(x).

  g(x) = f(x) -3 . . . . . translates f(x) 3 units down

__

For f(x) = 10(x +1)² +8, we want ...

  g(x) = f(x) -3 = (10(x +1)² +8) -3

  g(x) = 10(x +1)² +5

Translation of 3units down means change in y axis

y is decreased by 3

Hence new equation

Using the three conditions, the smallest number of horses that can be shared among the generals is 41

The conditions are given as:

The numbers that can divide 5 and leave a remainder of 1 are:

11, 16, 21, 26, 31, 36, 41, 56, 61, 66, 71......

Of all these numbers, the smallest number that satisfy the three conditions is: 41

i.e.

41/3 = 13 R 2

41/5 = 8 R 1

41/7 = 5 R 6

Hence, the smallest number of horses is 41

Let the number of horses a general gets be x.

The explicit rule for each condition can be represented as:

Using the condition (b), we have:

Total = 5x + 1

Rewrite as a function

f(x) = 5x + 1

When x = 0, we have:

f(0) = 1

For other values of x, we have:

f(1) = 6

f(2) = 11

f(3) = 16

Rewrite as:

f(0) = 1

f(1) = 5 + 1 = 5 +f(0)

f(2) = 5 + 6 = 5 + f(1)

f(3) = 5 + 11 = 5 + f(2)

Express 2 as 3 - 1

f(3) = 5 + f(3 - 1)

Express 3 as x

f(x) = 5 + f(x - 1)

Hence, the recursive function is f(x) = 5 + f(x - 1) where f(0) = 1

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[tex]sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] ~\dotfill\\\\ sin(x)cos(x)=\cfrac{\sqrt{3}}{4}\implies \stackrel{\textit{multiplying both sides by 2}}{2sin(x)cos(x)=2\left( \cfrac{\sqrt{3}}{4} \right)}\implies sin(2x)=\cfrac{\sqrt{3}}{2}[/tex]