The probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.
What is the conditional probability?The conditional probability is the happening of an event, when the probability of occurring of other event is given.
A box has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy. (Each candy falls into only one of these categories.)
Let A is the event of selecting taffy in first attempt. Thus, the probability of it is,
[tex]P(A)=\dfrac{4}{14}[/tex]
Now 13 candies remain, in which 3 taffy candies are present. Let B is the event of selecting taffy in again. Thus, the probability of it is,
[tex]P(B)=\dfrac{3}{13}[/tex]
The probability of happening both event is,
[tex]P(A\cap B)=\dfrac{4}{14}\times\dfrac{3}{13}\\P(A\cap B)=\dfrac{12}{182}[/tex]
The probability that the two candies selected by Laura from the box are taffy is,
[tex]P(B| A)=\dfrac{\dfrac{12}{182}}{\dfrac{4}{14}}\\P(B| A)=0.230[/tex]
Thus, the probability that the two candies selected by Laura from the box are taffy which has 14 candies in it: 3 are butterscotch, 7 are peppermint, and 4 are taffy is 0.230.
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tree is casting a 35 ft shadow when the sun is at a 56° angle of elevation. How tall is the tree?
Mr. Walters asked his students to order 89, 708, 37, and 93 from least to greatest, and to be ready to explain the process they used to order the numbers.One student, Brianna, ordered the numbers correctly, and when Mr. Walters asked her to explain her process, she said, “The numbers 89, 37, and 93 are less than 100, so they are all less than 708, since that is greater than 100. Also, 37 is the least because it comes before 50 and the other two numbers are close to 100. Then 89 is less than 90, but 93 is greater than 90.”Which of the following best describes the strategy on which Brianna’s explanation is based?
a bag og of grass seed weigh 5.8 pounds. how many
pounds would 2.5 weighs?
Answer:
the answer is 8.3 it weigh
a) Write an expression to represent the amount of money you
should have in the following situation.
Angela has $29 in her wallet. She gets paid $19 per hour and she
worked 8 hours last week and 6 hours this week. Then her friend
friend Tom borrowed $58.
b) How much money does Angela have left ?
PLEASE ANSWER THIS. I have an assignment due soon :((
Answer: $237
Step-by-step explanation:
Angela: 29 + 19(6 + 8) - 58
= -29 + 19(14) = -29 + 266 = $237
Write an equation in point-slope form for the line that passes through the points (f, g) and (h,j).
Point-slope form is a form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1,y_1)[/tex] is a point that falls on the linem is the slope of the lineTo write an equation in point-slope form:
Calculate the slope of the line by solving for mPlug m into the general equationPlug a point that falls on the line in the general equation as [tex](x_1,y_1)[/tex]Solving the QuestionWe're given:
The line passes through the points (f,g) and (h,j)Solve for the slope (m):
[tex]y-y_1=m(x-x_1)[/tex]
⇒ Plug in the point (f,g) as (x,y):
[tex]g-y_1=m(f-x_1)[/tex]
⇒ Plug in the point (h,j) as (x₁,y₁):
[tex]g-j=m(f-h)[/tex]
⇒ Isolate m by dividing both sides by (f-h):
[tex]\dfrac{g-j}{f-h}=m[/tex]
⇒ Therefore, the slope of the line is [tex]\dfrac{g-j}{f-h}[/tex].
Plug the slope into the general equation:
[tex]y-y_1=\dfrac{g-j}{f-h}(x-x_1)[/tex]
Plug one of the points, (f,g) or (h,j) into the equation as (x₁,y₁):
[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]
AnswerThere can be multiple answers for this question, depending on what we consider to be (x,y) and what we consider to be (x₁,y₁). This is one of the possible answers, for (f,g) is (x,y) and (h,j) is (x₁,y₁):
[tex]y-j=\dfrac{g-j}{f-h}(x-h)[/tex]
is it possible to write vector (-5,6) as a linear combination of vectors (1,2) and (3,4)
Answer:
Step-by-step explanation:
-5i+6j=x(1i+2j)+y(3i+4j)
-5=x+3y(multiply by 2)
6=2x+4y
-10=2x+6y
subtract
16=-2y
y=-8
-5=x+3(-8)
x=-5+24=19
-5i+6j=19(i+2j)-8(3i+4j)
so we can write (-5,6) as a linear combination of (1,2) and (3,4)
Common factor of 20,88,40
common factors: 1, 2, 4
GCF: 4
Use the Pythagorean Theorem to find which one of the
following is the hypotenuse c of a right triangle with side
lengths of a = 9 cm and b = 12 cm.
a 12 cm
b 15 cm
C 14 cm
d 17 cm
Altitude (AB) = 9cm
Base (BC) = 12cm
To FindHypotenuse (AC) = ?
[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]
[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]
Inserting The Values
[tex] \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15[/tex]
[tex] \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}[/tex]
Option B= 15cm is the correct answer
Hope This HelpsSolve for X
5х – 1 = 6x — 9
Answer:
5x-1=6x-9
5x-1-6x= -9
5x-6x= -9+1
-x= -8
(-1)*(-x)= (-1)*(-8)
x=8
Evaluate the expression 8-5xy3 for x=3 and y=-2.
Answer:
-54
Step-by-step explanation:
8-5xy3 x=3 y=-2
3xy3
3(3)(-2)3
9(-2)3
-18*3
-54
A window has the shape of a rectangle with a semicircle at the top.
Find the approximate area of the window using the dimensions shown.
Answer:
8+pi/2
Step-by-step explanation:
The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi
Reflect the given triangle over
the y-axis.
3 6 31
-3 3 3.
{
ER
-3 -6
-3 [?] [
Answer:
see explanation
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y )
applying this rule to the given points , then we obtain
[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\\\end{array}\right][/tex]
What is the equation of the line that passes through the point (-6, -3) and has a
slope of 0
Answer:
Answer: the equation of the line is y=−3.
Step-by-step explanation:
Since the slope equals 0, then the line is horizontal.
This means that the equation of the line doesn't contain x.
Thus, the equation of the line is y=−3.
Select one: A. 31.7 percent complete. B. 32.5 percent complete. C. 25.0 percent complete. D. 15.0 percent complete.
Can you please provide the question that goes with the answers? There can be no answer if there isn't a question
A basket contains 40 mangoes out of which 8 are rotten. Find the percentage of the mangoes that are in good condition
There are 80% of mangoes which are good condition.
What is percentage?Percentage is a relative value indicating hundredth parts of any quantity.
Given that, A basket contains 40 mangoes out of which 8 are rotten.
Mangoes in total = 40
Number of mangoes which are rotten = 8
Mangoes which are good condition = 40-8 = 32
Percentage of good mangoes = 32/40x100 = 80%
Hence, 80% of mangoes are not rotten.
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4. In 2003, Mississippi’s labor force totaled
1,312,700 persons. The unemployment rate in
the state was 5.6 percent. Approximately how
many people were employed in that year?
Round your answer to the nearest thousand.
employed: 1,312,700 people
total people : 1,312,700 unemployment : 5.6%employed : 100% - 5.6% = 94.4%employed people:
94.4% * 1,312,700 1239188.8≈ 1239189 peopleUnemployed persons
5.6% of 13127000.056(1312700)73511Employed persons
1312700-735111238989Josh wants to spend less than $80 to buy
4 shirts and a pair of pants. The pants cost $24.
The shirts he wants all cost the same.
2. Which inequality can be used to find how
much Josh will spend on each shirt?
A. 4s + 24 > 80
B. 4s + 24 < 80
C. 4s + 24 = 80
D. 4s + 24 = 80
Answer:
B
Step-by-step explanation:
b because everything must cost less than 80 and
< 80 means the unknown number will be less than 80.
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
The Arctic Ocean has an area of about 5×106 square miles. The Atlantic Ocean has an area of about 3×107 square miles. Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents.
The Atlantic Ocean is about how many times as large as the Arctic Ocean?
Answer:
1.65x
Step-by-step explanation:
multiply 3x107 to get 321.
multiply 5x106 to get 530.
divide 530 by 321 to get 1.65x
Find the area of the shaded region.
Answer:
3316
Step-by-step explanation:
Hope it will help you
Amy, Bob, and Carl were using flour from a 7 cup container. Amy used 0.15 of the total container , Bob used 30% of the total container, and Carl used .5 cups of the container. Determine the amount that each person uses and list them from least to greatest.
Answer:
Amy, Carl, bob
Step-by-step explanation:
Amy = 7 - 0.15 = 6.45
Bob = 7 - 0.30 = 6.70
Carl = 7 - 0.5 = 6.5
Order from least to greatest is:
Amy (6.45)
Carl (6.5)
Bob (6.7)
write the equation of line through (3,6) and (-4,-1)
Answer:
y=x+3
Step-by-step explanation:
The slope of a line passing through the two points P = (x1, y1)and Q = (x2, y2) is given by
m= (y2-y1)/(x2-x1)
We have that x1= 3, y1= 6, x2= - 4, y2= - 1
so m = 1
Now, the y-intercept is b=y1-mx1 (or b=y2-mx2, the result is the same).
b=6-(1)(3)
b=3
Finally, the equation of the line can be written in the form
y = mx+b
y=x+3
What is the graph of 3x + 5y = -15?
5
5
4
4
3
3
3
2
2
2
1
1
1
1 2 3
b
1 2 3 4 5
4-3-2-11
1 2 3 4 5 x
54-3-2-1
2+
34
1-3-2-1
2
م ح لي د کا
2
-3
5
5
5
o
O
5
4
3
Answer:
Can you put the picture up so we can see the graph?
Which value for Y makes this sentence true?
y = 1/5
Answer:
[tex] \frac{1}{5} [/tex]
making both sides d same value makes d sentence true
A game last 5/8 hours. Jessica played 4 of these games. for how long did she play in total? write your answers in the simplest form
Answer:
5/2 or 2 1/2
Step-by-step explanation:
4 x 5/8 = 20/8
20/8 = 10/4 = 5/2 = 2 1/2
1. Abe and Malik both stayed after school on
Wednesday to practice their instruments. Abe
practiced for 30 minutes. Malik practiced 10
minutes longer than Abe. Select all the ratios
that compare Abe's practice time to Malik's practice time
Answer:
Step-by-step explanation:
If Abe practiced 30 minutes,
Malik practiced 40 minutes.
It's 30:40 minutes;
3:4
can someone help me with this pls?
Find the unit cost (i.e. dollars per unit). Round the answer to 3 decimal places when necessary. A package of 3 AAA batteries costs $3.36.
A rectangle has a length of 10 cm and a width of 7 cm. What is its perimeter?
44 cm
70 cm
34 cm
17 cm
Answer:
34 cm
Step-by-step explanation:
Keep in mind that the perimeter of a rectangle is the sum of the measures of its sides. This means that the sum of the longer sides and the shorter sides is the perimeter of the rectangle.
Let "L" represent the longer side (length) of the rectangle and "S" represent the shorter side (width) of the rectangle.
⇒ Perimeter of rectangle = L + S + L + S
⇒ Perimeter of rectangle = 2(L) + 2(S)
⇒ Perimeter of rectangle = 2(L + S)
Now, let's substitute the length and the width in the perimeter and simplify.
⇒ Perimeter of rectangle = 2(10 + 7) [L = 10; S = 7]
⇒ Perimeter of rectangle = 2(17)
⇒ Perimeter of rectangle = 34 cm
Answer: 70 cm
Step-by-step explanation: 10 x 7 = 70
hope this helps
Which of the equations below is a line parallel to the line y = 5x - 2?
Answer:
An unlimited number of lines are parallel to the line described by y = 5x + 2. The requirement is that it is in the form y = 5x + b, b ≠ 2.
Step-by-step explanation:
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?
What is the recursive rule?
The required recursive function will be expressed as an = 3000 + 500n
How to write recursive functionsGiven the following parameters
First year salary = $30,000
If it increases by $500 each year, let the number of years be "n", then the increment after "n" years is 500n
The required recursive function will be expressed as an = 3000 + 500n
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