Of the 85 learners that packed a lunch for the field trip, 60 have an apple in their lunch and 75 have an orange. All of the learners have at least one apple or orange in their lunch.

What is the probability that a learner chosen at random from the field trip has an orange but not an apple?

Answers

Answer 1

Using it's concept, it is found that there is a 0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, of the 85 learners, 75 - 60 = 15 have an orange but not an apple, hence the probability is given by:

p = 15/85 = 0.1765.

0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.

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Related Questions

HELP PLEASE!!
.
.

.
.
.

Answers

Answer:

a

Step-by-step explanation:

because they spent the least of money on flowers

Answer:

They spent more on signs than flower boxes is the correct answer.

What is the x-intercept of the continuous function
shown in the table?
O (0, -8)
0 (0, 2)
0 (-8,0)
O (2,0)
Someone help :)

Answers

the answer is 2,0

Step-by-step explanation:

i got it right according to my teacher

The x-intercept of the continuous function shown in the table is, (2, 0)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope = -7+8/1

slope=1

You can see the values of x and f(x) from the given table.

An ordered pairs is in the form of (x, f(x)).

By x-intercept definition;

at x =2

⇒ f(x) = 0

Therefore,  the x-intercept of the continuous function shown in the table is, (2, 0)

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Which number completes the table?
n
63
91
119
147
n7
9
?
21

Answers

Answer:

The answer is 13.

Step-by-step explanation:

n ÷ 7

= 91 ÷ 7

=13

which digit have the same place value and face value in 6782 1904​

Answers

4 and 0 has the same place value and face value.

Hope this is helpful :)

Answer:

0 and 4 are the digit which have same place and face value.

PART A. A fruit juice recipe uses three ingredients. Two of the ingredients use a ratio of 2 ounces of pineapple juice to 5 ounces of fruit punch.Graph a line on the coordinate plane to represent this relationship.

PART B. Create an equation to represent this relationship let X represent ounces of pineapple juice. Let Y represent ounces of fruit punch. the picture is apart of Part A​

Answers

Answer:

(B) The equation of line is 5 X = 2 Y.

Step-by-step explanation:

2 ounces of pineapple juice

5 ounces of fruit punch

Other is 4 ounces pineapple juice and 10 ounces fruit punch

(A) Graph is shown below:

(B) Let X is the pineapple juice and Y is the fruit punch

(2, 5)  and (4, 10)

So, the equation of line is

[tex]Y - 5 = \frac{10-5}{4-2}\times (x -2)\\\\Y-5=2.5 (X-2)\\\\Y - 5 = 2.5 X - 5 \\\\2.5 X = Y\\\\ 5 X = 2 Y[/tex]

Which first step most directly leads to the solution of the equation below?
x^2 – 16 = 65

A. Add 16 to both sides of the equation.

B. Add -x^2 to both sides of the equation.

C. Rewrite the left-hand side as (x - 4)(x+4)

D. Rewrite the left-hand side as (x - 4)^2​

Answers

C the Promised and I have put in both of them for a few weeks but they have to do a better job on

2 7/9 divided by 5/6 in fraction.

Answers

The fraction after the division is A = 46 / 15

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the first fraction be p = 2 7/9

Let the second fraction be q = 5/6

Now , A = p/q

On simplifying the equation , we get

A = 2 7/9 / 5/6

A = ( 25/9 ) / ( 5/6 )

A = ( 25/9 ) x ( 6/5 )

On simplifying , we get

A = 138/45

A = 46 / 15

Hence , the fraction is A = 46/15

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Determine the scale factor.

NEED HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

so you can see it more boldly

explained in the comment thing.

What is the least number of bottles that can be packed in 4-packs or 6-packs without a remainder?

Answers

Answer:

4 bottles i think but you should check with someone else too

Answer:

4 bottles i think but you should check with someone else too

Step-by-step explanation:

The measure of angle NOP is 140
Which of the equations could be used to find the measure of angle NOQ?

Answers

Answer:

a) 23 + x = 140

Step-by-step explanation:

140 - 23 = 117

the angle x = 117°

You are building a fence and have 540 inches left to go. The fencing comes in sheets of 3 yards. How many sheets of fencing do you need to complete the fence?

Answers

Answer:

Step-by-step explanation:

243

Question 5 of 10
What is the slope of the line x = 3?
Answer here

Answers

Answer:

Undefined

Step-by-step explanation:

This equation is just a vertical line, so the slope is undefined.

Which is the endpoint of a ray?
Point R
Point S
Point T
Point U

Answers

9514 1404 393

Answer:

  Point S

Step-by-step explanation:

A ray extends in one direction from its end point. Point S is the only point shown in the diagram that does not have parts of a line extending in opposite directions from it.

Point S is a ray!!

Hope this help!!

Can someone please help me with this question?

Answers

Answer:

hectors toy

Step-by-step explanation:

0.7 is equal to 0.70 and 0.72 > 0.70

You invested $11,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year was $730, how much was invested at each rate? The amount invested at 3% is $​

Answers

Answer:

I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Step-by-step explanation:

Given that I invested $ 11,000 in two accounts paying 3% and 7% annual interest, respectively, if the total interest earned for the year was $ 730, to determine how much was invested at each rate, the following calculation must be performed:

5,000 x 0.07 + 6,000 x 0.03 = 530

8,000 x 0.07 + 3,000 x 0.03 = 650

10,000 x 0.07 + 1,000 x 0.03 = 730

Therefore, I invested $ 10,000 at 7% per year, and $ 1,000 at 3% per year.

Answer:

A 3% = 1000 and B 7% = 10000

Step-by-step explanation:

A + B = 11000

A * 0.03 + B * 0.07 = $730

A = 11000 - B

(11000 - B)*0.03 + B*0.07 = 730

330 - 0.03B + 0.07B = 730

330 + 0.04B = 730

0.04B = 400

B = 10000

A = 11000 - B = 11000 - 10000

A = 1000


2. Find(f/g)(x) when f(x) = 6x2 + 12x and g(x) = 2x2 + 8x + 8. Show your work.

Answers

Answer:

:)

Step-by-step explanation:

[tex](\frac{f}{g}) (x) = \frac{f(x)}{g(x)} = \frac{6x^2 + 12x}{2x^2 + 8x + 8}[/tex]

                    [tex]= \frac{6x(x + 2)}{2(x^2 + 4x + 4)}\\\\=\frac{3x(x+2)}{(x+2)(x+2)}\\\\=\frac{3x}{(x+2)}[/tex]

p(x)= 0.75x +50 solve for x

Answers

Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

2. A right triangle has side lengths d ,e, and f. (SHOWN IN THE PICTURE). Use the lengths to find. (PLZ HELP)​

Answers

Answer:

Really?

cos(x) = f/e

tan(x) = d/f

sin(x) = d/e

The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints.

Use only decimal form, if necessary. Frozen Yogurt 9 COR Servings 3 2 1 Pints 3 31 5 6 18 9 The equation is y =​

Answers

Answer:

Please rephrase the question.

Step-by-step explanation:

if matrix A is of the size 2×3 and we are able to add matrix B to A. what must be the size of B be?​

Answers

Answer:

6 be because 2×3 =6 so B it will be the given answer

The cost of 5 diesels is $1025. Calculate the cost of 17diesels

Answers

To calculate the cost of 1 diesel divide the cost of 5 by 5 to get 1 or $1025/5=205
To get the cost of 17, multiply the cost of 1 which is 205x17=3,485 so 17 is $3,485

What is the area of the triangle in the diagram?

Answers

Answer:

B.

Step-by-step explanation:

the area of a triangle is

Area = baseline × height / 2

the baseline can be any of the 3 sides.

the height is then the perpendicular connection from the corner point opposite of the chosen line to the chosen line.

in this example the easiest approach would be to pick (x1,y1) to (x2,y1) as baseline, and the height would then be the piece of the y-axis from (0,0) to the baseline.

so, how long is the baseline ?

we need to calculate the difference between the coordinates of both corner points.

we have here an easy case, as both points have the same y value, so we only need to look at the difference in x.

baseline = x2 - x1

and the height is here simply (because of the special case) the difference of the baseline from (0,0) on the y-axis

height = y1

therefore, the area of the triangle is

Area = (x2-x1) × y1 / 2 = 1/2 × y1(x2-x1) = solution B

if the corner points and height are not so nicely aligned with the coordinate axis, then we need to calculate the distances by using Pythagoras to determine the "Hypotenuse" of the triangles created by the differences of the individual coordinates.

in our example

((x1,y1) to (x2,y1))² = (x2-x1)² + (y1-y1)² = (x2-x1)² + 0 = (x2-x1)²

and therefore

(x1,y1) to (x2,y1) = (x2-x1)

and we are back to our original solution.

NEED HELP END OF THE YEAR TEST
Graham was given the following function table.

What is the output if x=8?

Answers

Answer:

37

Step-by-step explanation:

+ 5 in the y column every row, so 8 would be 37

Answer:

37?

Step-by-step explanation:

2  7

3  12

4  17

5  22

6  27

7  32

8  37

Solve for the missing angle measures.

Answers

Answer:what were the anwsers

Step-by-step explanation:

In the diagram below, KL = 12 and LM = 8. Which additional facts would guarantee that JKLM is a parallelogram? Check all that apply K 12 8 A. JK = 12, and JM is parallel to KL B. JK = 8, JM = 8 C. JK = 8, and JK is parallel to LM D. JK = 8, JM = 12​

Answers

Answer:

A. JK = 12, JK is parallel to LM

D. JK = 8, JM = 12

Step-by-step explanation:

Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are answers A and D.

By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel.

The additional facts that would guarantee that JKLM is a parallelogram are

JK = 8 and JM = 12.

Option B is the correct answer.

What is a parallelogram?

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.


We  have,

In a parallelogram,

The opposite sides are parallel and so the sides are also equal.

Now,

KL and JM are parallel.

So,

KL = JM = 12

And,

KJ and LM are also parallel.

So,

KJ = LM = 8

Thus,

The additional facts that would guarantee that JKLM is a parallelogram are

JK = 8 and JM = 12.

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Find the area of the regular polygon. Round to the nearest tenth

Answers

46.6 ??? I’m not sure tho

Help pls, the question is in the picture. I'm to lazy to do the math today. I hate math.

Answers

Answer:

C

Step-by-step explanation:

Both models represent half of the gymnasium, its just that one is vertical and one is horizontal. Both are basically correct. C is the right answer since it says both models are correct. Each class also does occupy 1/12 of the gymnasium since they get 1/6 of 1/2 of the gymnasium. Of means multiply so 1/6 * 1/2 = 1/12.

Alex and Thomas share 52 sweets. They divide them in the ratio 7:6. How many sweets does
Thomas have?

Answers

Answer:

24

Step-by-step explanation:

[tex]52 \times (6 \div (6 + 7)) = 4 \times 6 = 24[/tex]

Step-by-step explanation:

you first add the ratios 6+7= 13 then you divide the number of sweets by the total number of the ratio 52÷13=4 then you multiply the first ratio by the 4 you found 7×4=28 for Alex then by the second ratio 6×4=24

Help please i need this in less that 3 minutes. i just need the formula or what to do

Answers

Hello friend how are you♥♥♥♥♥♥

Answer:

b

1058.4 hope helpful answer

You are to play the following game of cards. Cards are worth their face value, Jacks, Queens and Kings are also worth 10 and Aces are worth 11. You pull precisely two cards from a standard deck and if their sum is at least 20, then you win the game and are given a prize of cash. It costs you $10 to play the game. At least how much should the prize be in order to make your expected winnings positive

Answers

Answer:

$82.875

Step-by-step explanation:

From the given information:

Assume F is used to denote the two cards;

If there are four aces among 52 playing cards, the chance of selecting the first ace is =  [tex]\dfrac{4}{52}[/tex]

After selecting the first ace, we have only 3 aces remaining and a total of 51 playing cards. Thus, the chance of selecting the second ace will be [tex]\dfrac{3}{51}[/tex]

By applying product rule, we can determine the chance of selecting two aces without replacement as follows:

i.e.

[tex]P(F=22)=\dfrac{4}{52}\times \dfrac{3}{51}[/tex]

[tex]= \dfrac{1}{221}[/tex]

The probability of getting one ace, one face is:

[tex]P(F=21) =( \dfrac{4}{52}\times \dfrac{12}{51})+( \dfrac{12}{52}\times \dfrac{4}{51})[/tex]

[tex]P(F=21) = \dfrac{4}{221}\times\dfrac{4}{221}[/tex]

[tex]P(F=21) = \dfrac{8}{221}[/tex]

Since there are 4 aces, 4 nine, and 12 faces in a card deck

The probability of getting one ace, one nine, or two faces now will be:

[tex]P(F=20) = (\dfrac{4}{52} \times \dfrac{4}{51})+ (\dfrac{4}{52} \times \dfrac{4}{51}) + (\dfrac{12}{52} \times \dfrac{11}{51})[/tex]

[tex]P(F=20) = (\dfrac{53}{663} )[/tex]

Now, the probability  of at least 20 now is:

[tex]\text{P(F at least 20)} = \dfrac{1}{221}+\dfrac{8}{221}+\dfrac{53}{663}[/tex]

[tex]\text{P(F at least 20)} = \dfrac{80}{663}[/tex]

If H represents the amount of prize of the expected winnings:

Then;

[tex](H - 10) (\dfrac{80}{663}) + (-10)(\dfrac{663-80}{663}) = 0[/tex]

[tex]\dfrac{80(H-10)}{663}-\dfrac{5830}{663}=0[/tex]

[tex]\dfrac{80(H-10)}{663}=\dfrac{5830}{663}[/tex]

80H - 800 = 5830

80H = 5830 +800

80H = 6630

H = 6630/80

H = $82.875

The prize should be $82.875 to make a winning positive.

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