There are 3 oranges, 8 peaches, and 4 apples in a fruit basket. David selected one piece of fruit at random. He was hungry and ate that fruit. He then selected a second piece of fruit. What is the probability that he selects two peaches?

Answers

Answer 1

Answer:

Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)

Step-by-step explanation:

Given:

Number of oranges = 3

Number of peach = 8

Number of apple = 4

Find:

Probabilty[First and second fruit is peach without replacement]

Computation:

Probablity of an event = Number of favourable outcomes / Number of outcomes

Probabilty[First fruit is peach] = 8 / [3 + 8 + 4]

Probabilty[First fruit is peach] = 8 / 15

Probabilty[Second fruit is peach] = [8-1] / [3 + 8 + 4 - 1]

Probabilty[Second fruit is peach] = 7 / 14

Probabilty[Second fruit is peach] = 1 / 2

Probabilty[First and second fruit is peach without replacement] = Probabilty[First fruit is peach] x Probabilty[Second fruit is peach]

Probabilty[First and second fruit is peach without replacement] = [8/15][1/2]

Probabilty[First and second fruit is peach without replacement] = 8 / 30

Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)


Related Questions

How many squares will be in figure 10!?

Answers

Answer:

98 i believe,

Step-by-step explanation:

hope this helps, have a great day :)

There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, what is the probability the student gets two questions correct? Express your answer as a percent rounded to the nearest tenth.

3.8%

18.7%

20.5%

16.9%

Answers

Answer:

[tex]20.5\%[/tex]

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}[/tex],

The [tex]\frac{1}{5}[/tex] represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The [tex]\frac{4}{5}[/tex] represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): [tex]\binom{5}{2}=10[/tex].

Therefore, the probability the student gets two questions correct is:

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}[/tex]

PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U

Answers

Answer:

[tex]31\:\text{square units}[/tex]

Step-by-step explanation:

We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).

Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]

Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]

Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]

Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]

Thus, the area of the entire figure is:

[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]

find the volume of the following prism..helpppp pleasee!!!​

Answers

Answer:

Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

volume of the prism

(20×12×10)-(8×8×20)

2400-1280

1120 cm³

Which of the following sets do NOT represent Equivalent expression?

Answers

Answer:

Only B.

Step-by-step explanation:

Only B because 36/12 does not equal to 12/36!

find the measure of the angle of elevation of the sun to the nearest degree, if a 100ft tall building casts a 150ft shadow.​

Answers

Answer:

33.7º

Step-by-step explanation:

tan  = opp/adj

tan∅ = 100/150 = 2/3

∅ = arctan 2/3

∅ = 33.690067525979787

33.7º

PLEASE HELP

A
B
C
D
???

Answers

The answer for this would be b

HELP! ILL MARK YOU BRAINLY OR WHATEVER ITS CALLED

Answers

these r all parallelograms
area is base x height
10 x 3.03 = 30.3 yards

4.9 x 6.6 = 32.34 in

5.8 x 9.7 = 56.26 ft

Answer:

For #7, the answer is 30.3 yd

For #8, the answer is 32.34 in

For #9, the answer is 56.26 ft

Explanation: The formula for an area of a parallelogram is ( A=bh)

Hope that helped!!

I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?

Answers

Answer:

I think Quadrant 1. I;m not trying to just answer for the points

Step-by-step explanation:

I have to factor 14 and 22 to find the greatest common factor​

Answers

Answer: The GCF is 2

Answer:

2

Step-by-step explanation:

Solution by Factorization:

Hope this helps u :D

Solve the expression for a=12 b=6 and c=3

Answers

Answer:

36

Step-by-step explanation:

I did the work on my notebook

Answer:

Step-by-step explanation:

c(a+b)-bc

=3(12+6)-6*3

=36+18-18(plus 18 and minus 18 gets cancel)

=36

The perimeter of the figure below is 71.4 in. Find the length of the missing side.
8.3 in
4.4 in
4.4 in
4.4 in
4.4 in
2.7 in
2.7 in
4.4 in
4.4 in
11.4 in
11.4 in
?

Answers

8.5 inches. Add em up and subtract it from 71.4 you get ur answer

Answer:

8.5

Step-by-step explanation:

The perimeter is the distance around the figure. It can be found by adding up the side lengths of all of the sides of the figure. In this case, one is given the perimeter (71.4), and all of the side lengths except one. Make an equation; call the unknown side (x), then solve for (x).

71.4 = 8.3 + 4.4 + 4.4 + 4.4 + 4.4 + 2.7 + 2.7 + 4.4 + 4.4 + 11.4 + 11.4 + x

Simplify,

71.4 = 62.9 + x

Inverse operations,

8.5 = x

If /|| m, what is the value of X?

Answers

Answer:

43° is correct answer

Step-by-step explanation:

Like me

Answer:

43

Step-by-step explanation:

[tex]x \degree = 43 \degree \\ (corresponding \: \angle s) \\ \therefore \: x = 43 [/tex]

NO LINKS!!! WILL REPORT!!!! NEED HELP ASAP

Answers

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/4(do cross multiplication)

x[tex]\sqrt{2[/tex]=4

x=4/[tex]\sqrt{2}[/tex]

x=2[tex]\sqrt{2}[/tex]

The formula for the surface area of a rectangular prism with a square base is SA = 2s2 + 4sh. What is the surface area of this rectangular prism if s = 3 and h = 6?

Answers

Answer:

90

Step-by-step explanation:

Step 1: Given data

Side of the rectangular prism (s): 3

Height of the rectangular prism (h): 6

Step 2: Calculate the surface area (SA) of the base

We will use the following expression, replacing the values for s and h.

SA = 2 × s² + 4 × s × h

SA = 2 × 3² + 4 × 3 × 6 = 90

The units are not provided but the SA should have the same units as s and h, but raised to the power of 2.

g(x) = х2 — 6x = 12?

Answers

Answer:

amogus

Step-by-step explanation:

Find the volume and show work (round to the tenths)

Answers

Answer:

120 km^3

Step-by-step explanation:

the base is a right triangle

A = (leg1 x leg2)/2 = (6 x 8)/2 = 24 km^2

the volume of a prism is base area x height

V = 24 x 5 = 120 km^3

Answer:

2000

Step-by-step explanation:

Would you rather (A) Run for 12 minutes at least 10 miles and hour; ... OR ... (B) 20 minutes at 6 miles per hour?

Answers

Its actually the same length. I will choose B so that i can run slower

Review the graph of function j(x). What is Limit of j (x) as x approaches 3?

Answers

Answer:it’s 6

Step-by-step explanation:

The limit of the function J(x) as x approaches 3 is 4.

What is the limit as x approaches 3?

For a function f(x), the limit as x approaches a is equal to the value that the function takes really near the value x = a, and we say that the limit exists only if the value is the same if we approach from x > a and for x < a.

In this case, we can see that:

J(3) = 6

But the limit is not in x = 3, is near it, and we can see that near x = 3, the value of the function is actually 4, then we have:

[tex]\lim_{x \to 3} J(x) = 4[/tex]

So the correct option is the second one.

If you want to learn more about limits, you can read:

https://brainly.com/question/5313449

Multiply. Express your answer in simplest form. 2/3 x 5/6. Show work.

Answers

[tex] \frac{5}{9} [/tex]✅

Step-by-step explanation:

[tex] \frac{2}{3} \times \frac{5}{6} \\ = \frac{10}{18} \\ = \frac{5}{9} [/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

One-third of the total number of marbles in a jar are red and blue. There are 18 red marbles and 16 blue marbles. How many marbles are in the jar?

Answers

Answer:

There are 102 marbles in the jar

Step-by-step explanation:

16+18 = 34

34 = 1/3

3×34 = total marbles

3×34 = 102

Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2

Answers

Answer:

20 is right

Step-by-step explanation:

to easy I know maths

Answer:

When your comparing the two functions.

F(x)= 1/50(3)^x

G(x)=1/5x^2

When you compare it i think it would be C

PLEASE DONT QUOTE ME ON THIS

Step-by-step explanation:

find the area of a circle with a radius of 5 ft

Answers

Answer:

2.5 feet bud hope it helps

how do I make a box plot

Answers

Answer:

To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box

Answer:

this may help

Step-by-step explanation:

A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them. To construct a box plot, use a horizontal or vertical number line and a rectangular box.

Find the cosine of 300°. Round your answer to the nearest hundredth, if necessary.
-0.87
-0.5
0.5
0.87

Answers

Answer:

option C . 0.5

Step-by-step explanation:

[tex]cos 300 = cos(2\pi - 300 ) = cos( 360 - 300) = cos 60 = 0.5[/tex]

Using the formula :

[tex]cos\theta = cos (2\pi - \theta )[/tex]

C= 0.5

Step-by-step explanation:

Jordan is baking brownies and chooses to use a round pan. The diameter of the pan is 12 inches. What is the area of the pan? Round to the nearest tenth.

Answers

You need to show us the shape of pan

Solve the triangle for all missing sides and angles

Answers

Answer:

a=9

c= 17.5

angles: a =31, b =59, c =90

Step-by-step explanation:

a:

tan (31) = a/15 *cross multiply*

a = 15 (tan (31))

a = 9

c:

*use pythagorean theorum*

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

17.5 = c

Answer:

B = 59

a = 9.01

c = 17.49

Step-by-step explanation:

Angle B

180 - 90 - 31 = 59

c

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

sin(B)=15/c

sin(59)=15/c

c=15/sin(59)

c=17.49

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]

Amanda bought 2 CDs that were each the same price. Including sales tax, she paid a total of $29.80. Each CD had a tax of $1.10 . What was the price of each CD before tax?
brainliest

Answers

Answer:

13.80 there you go buddy

Javier is saving for a new pair of shoes that costs $59.99. So far, he has saved $22.50. How much more does he need to save? Show work.

Answers

Answer:

hi there user!

The answer is he needs to save $37.49 more

Step-by-step explanation:

59.99 - 22.50 = 37.49

Which rule describes the translation PQR – P'Q'R' ?

Answers

Answer:

(x.y)----> (x-3, y-3)

Step-by-step explanation:

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