You have a plate of 40 cookies. Ten have chocolate chips and 15 have pecans. Of the cookies mentioned in the preceding
sentence, four have both chocolate chips and pecans. You select a cookie at random. What is the probability that your cookie has
chocolate chips or pecans?
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
probability your cookie has chocolate chips or pecans:

Answers

Answer 1

Using Venn probabilities, there is a 0.525 = 52.5% probability that your cookie has chocolate chips or pecans.

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

For this problem, the events are given as follows:

Event A: Chocolate chips.Event B: Pecans.

From the text, the probabilities are given as follows:

[tex]P(A) = \frac{10}{40}[/tex].[tex]P(B) = \frac{15}{40}[/tex][tex]P(A \cap B) = \frac{4}{40}[/tex]

Hence the "or probability" is given by:

[tex]P(A \cup B) = \frac{10}{40} + \frac{15}{40} - \frac{4}{40} = \frac{21}{40} = 0.525[/tex]

0.525 = 52.5% probability that your cookie has chocolate chips or pecans.

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Related Questions

Pls graph and answer!

Answers

Answer:

Closed bracket “ ] “

at -5 facing the left then fill in the graph from -5 to -10

It’s facing left because -5 is greater than -x-4

Answer:

x  ≥  1

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.

−x  ≤  −1

Divide each term in −x ≤ −1  by −1 and simplify.

x  ≥  1

Hope this helps! :)

Solve the given equation for x.

2x-B = 10

Answers

Answer:

x=5+b/2

Step-by-step explanation:

move all terms that dont contain x to the right, and solve

Answer:

2 times 6-2+10

Step-by-step explanation:

2 tablets, 3x per day for 10 days

Answers

Answer:

60

Step-by-step explanation:

Simple

First you multiply 2 x 3 =6

Then you multiply 6 x 10 =60

That mean 60 is the answer you are looking for

Hope This Helps :)

Given two objects represented by the tuples (22, 1, 42, 10) and (20, 0, 36, 8):(a)Compute the Euclidean distance between the two objects. (b) Compute the Manhattan distance between the two objects.

Answers

Answer:

(a) 6.708

(b) 11

Step-by-step explanation:

Tuples ( 22, 1, 42, 10) and (20, 0, 36, 8)

Euclidian distance formula  

[tex]D = \sqrt{(q1 -p1)^2 + (q2-p1)^2 + (q3 - p3)^2 + (q4 -p4)^2}[/tex]

D = [tex]\sqrt{(22-20)^2 + (1-0)^2 + (42 -36)^2 + (10 -8)^2 }[/tex]

   = [tex]\sqrt{(2)^2 + (1)^2 + (6)^2 + (2)^2}[/tex]

    = [tex]\sqrt{4 + 1 + 36 + 4 }[/tex]

     = [tex]\sqrt{45}[/tex]

 D    = 6.708

Therefore the Euclidean distance between the tuples is 6.708

Manhattan Distance formula

D = |q1-p1| + |q2 -p2| + |q3 -p3| + |q4-p4|

  = |22-20| + | 1-0| + | 42 -36| + | 10-8|

 = |2| + |1| + |6| + |2|

D = 11

Therefore the Manhattan distance is equal to 11

The volume of a glass container is given to be 2x3+9x2-11x-30. If the height of the glass
container is given to be x - 2, what are the dimensions of the rectangular base of the glass
container?

Answers

Answer:

d

Step-by-step explanation:

if ummm its d

A device produces random 64-bit integers at a rate of one billion per second. After how many years of running is it unavoidable that the device produces an output for the second time? Round to the nearest number of years.

Answers

Answer:

3171 × 10^(44) years

Step-by-step explanation:

For each bit, since we are looking how many years of running it is unavoidable that the device produces an output for the second time, the possible integers are from 0 to 9. This is 10 possible integers for each bit.

Thus, total number of possible 64 bit integers = 10^(64) integers

Now, we are told that the device produces random integers at a rate of one billion per second (10^(9) billion per second)

Let's calculate how many it can produce in a year.

1 year = 365 × 24 × 60 × 60 seconds = 31,536,000 seconds

Thus, per year it will produce;

(10^(9) billion per second) × 31,536,000 seconds = 3.1536 × 10^(16)

Thus;

Number of years of running is it unavoidable that the device produces an output for the second time is;

(10^(64))/(3.1536 × 10^(16)) = 3171 × 10^(44) years

A shop sells 3 different types of tea
200 g of Kenyan tea costs £2.10
300 g of Columbian tea costs £3.45
150 g of Indian tea costs £1.70
a) Work out the cost of 100g of each type of tea
b) Which type of tea is the cheapest?​

Answers

Answer:

The cheapest is the Kenyan tea which costs  £1.05  for each 100g.

Step-by-step explanation:

A)

200 g of Kenyan tea costs £2.10

1. Calculate the rate of each gram, by dividing 2.10/200

0.0105 x 100 =    £1.05  for each 100g

300 g of Columbian tea costs £3.45

1. Calculate the rate of each gram, by dividing 3.45/300

0.0115 x 100 =  £1.15 for each 100g

1. Calculate the rate of each gram, by dividing 1.70/150

150 g of Indian tea costs £1.70

0.01133333333 x 100 =  £1.133333333 for each 100g

B) The cheapest is the Kenyan tea which costs  £1.05  for each 100g.

Simplify the expression. Explain each step 7(4y)

Answers

Answer:

28y

Step-by-step explanation:

7 x 4 =28

then just add the y to it

and you get

28y

A package of 15 batteries cost $14.25 what is the cost per battery

Answers

Answer: $0.95 per battery

Step-by-step explanation: Divide 14.25 and 15.

4y-7-(y-7) find answer

Answers

Answer is
3y
Step by step explanation

Answer:

3y

Step-by-step explanation:

4y-7-1(y-7)

4y-7-y+7

4y-y

3y

Convert 0.45 to a percent. Remember to add the percent sign.
0.45%
4.5%
45%
50%

Answers

45% is the answer to this question

Answer:

45%

Step-by-step explanation:

A scuba diver descends from the surface at a rate of 40 feet per minute.
What is the position of the scuba diver relative to the surface after diving for 4
minutes?
-44 ft
10 ft
-160 ft
36 ft

Answers

The answer is -160 ft multiple-40 x 4

Graph the image of this triangle after a dilation with a scale factor of 1/2 centered at (−5, 1).

Use the Polygon tool to graph the dilated triangle.

Answers

Answer:

Please see picture below.

Step-by-step explanation:

Can you explain this question please??

Answers

Answer:

the answer is here.

Step-by-step explanation:

hope it will helps you

Theoretically, if the spinner is spun 150 times, how many times would you expect to get an even number?

Answers

150/2 = 75

The spinner would have to be spun 75 times to expect to get an even number.

The graph of the function f(x) = (x – 4)(x + 1) is shown below.

On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1.75, negative 6.2), and goes through (4, 0).

Which statement about the function is true?

The function is increasing for all real values of x where
x < 0.
The function is increasing for all real values of x where
x < –1 and where x > 4.
The function is decreasing for all real values of x where
–1 < x < 4.
The function is decreasing for all real values of x where
x < 1.5.

Answers

the funcn is decreasing for all real values of x where x<1.5

Use the original price and the markup to find the retail price.

Original price: $60; Markup: 20%

Answers

Answer:

$72 would be the retail price

Step-by-step explanation:

1. Shlomo Benartzi begins his talk by outlining three things that we as a people are not
doing well. What are these three things? Do you agree or disagree with his evaluation of
these things?

Answers

According to Shlomo Benartzi's talk, the three things we humans do badly are risk taking, insurance and money management.

The biblical king who is most well-known for his wisdom is Solomon. When Solomon offered a sacrifice to God, God later asked him in a dream what he wanted from Him. Solomon prayed for wisdom in order to lead and govern his people more effectively.

The processes of setting up a budget, saving money, making investments, and spending are all examples of money management. To help you overcome the barriers to wealth, money management gives you a 360-degree view of your financial situation while putting important financial disciplines into practice. You have much more control over your financial future when you have a clear purpose for your money and sound money management principles behind it. Budgeting, investing, spending, and other types of capital usage oversight are all included in the definition of money management.

Learn more about money management here

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A shirt was marked down 25% which means you saved $15. What was the original cost of the shirt? What is the new price?

Answers

60 dollars. You multiply 15 four times because 25% of the cost is 15 so you multiply it by 4 to get the total answers.

A football field is 300ft long a sloth moving very quickly travels 60ft every 5 minutes based on this ratio how many minutes would it take a sloth to travel the length of a football field

Answers

Answer:

25 minute

Step-by-step explanation:

Speed is the ratio of the total distance traveled  to the total time taken to reach this distance. The formula for speed is:

Speed = total distance / total time taken

The total distance covered by the sloth = 60 ft, and the time taken = 5 minutes, hence:

Speed = total distance / total time taken

speed of the sloth = 60 ft / 5 minutes = 12 ft per minute.

We can calculate the time taken for the sloth to travel the length of the football field (i.e. 300 ft)

speed = distance / time

12 ft/minute = 300 ft / time

time = 300 ft / (12 ft/minute)

time = 25 minute

Is y=3x+5 a relation or not ?

Answers

the equation you have given is linear because x directly influences y

Does the rule y = 6x7 represent an exponential function?
yes
no

Answers

No , the rule y = 6x ^7 does not represent an exponential function.

The exponential function is a mathematical function of the form f(x) = a^x. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0. The exponential function is defined by the formula f(x) = a^x. where the input variable x is displayed as an exponent. An exponential curve depends on the exponential function and the value of  x.

We have given  y =6 x^7.

Here the variable is base & the exponent is an integer.

But an exponential function has a constant as its base and a variable as its exponent .

So, it does not represent an exponential function .

Learn more about exponential function here :

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Mayfield Water Company manufactures two types of bottled water: regular and flavored. The company produces at least twice as many bottles of regular water as bottles of flavored water. The company can produce, at most, 1,500 bottles of water per week. Which of these combinations would be reasonable for the company to produce in one week’s time?


A. 750 flavored and 750 regular
B. 500 flavored and 1,000 regular
C. 750 flavored and 1,000 regular
D. 1,000 flavored and 2,000 regular

Answers

Answer:

the answer is A

Step-by-step explanation: it's a because if u add 750 + 750 it will give you 1,500

Which graph represents the function fx) =|x–4?

Answers

The image below shows the graph f(x) = |x| – 4

Hope this helps! :)

giving brainliest if correct!

There are 8 sprinters in the Olympic 100-meter finals. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded?

Answers

Answer:

I think it is 336 ways the medals can be given out.

Step-by-step explanation:

the question: a computer manufacturer built a new facility for assembling computers. there were construction and new equipment cost. the company paid for these cost and made combined profits of $80 million after four years as shown in the graft.



answers:

a: f(x)=60x-160
b:f(x)=-60x+160
c:f(x)=-80x +4
d: f(x)= 80x -4

Answers

Answer:

The equation that closely represents the graph is [tex]\mathbf{y=60x-160}[/tex]

Option A is correct.

Step-by-step explanation:

We need to find equation that represents the graph.

We can write equation in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

For finding the equation we need to find slope and y-intercept

Finding slope

The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we can find [tex]x_1=0, y_1=-160, x_2=1, y_2=-100[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-100-(-160)}{1-0} \\Slope=\frac{-100+160}{1}\\Slope=-100+160\\Slope=60[/tex]

We get Slope = 60

Finding y-intercept

Using point (0,-160) and slope m = 60, we can find y-intercept

[tex]y=mx+b\\-160=60(0)+b\\b+0=-160\\b=-160[/tex]

Writing the equation

So, the equation for given graph having slope m = 60 and y-intercept b =-160 is:

[tex]y=mx+b\\y=60(x)+(-160)\\y=60x-160[/tex]

So, The equation that closely represents the graph is [tex]\mathbf{y=60x-160}[/tex]

Option A is correct.

Determine whether each sum or product is even or odd.
10,481 + 4,569

Answers

Answer:

even

Step-by-step explanation:

11050 it's even because it ends in a zero

pls help worth a lot of points

Answers

Answer: Ordinarily, no, it wouldn't matter.

Step-by-step explanation: No matter in what order you add it up it will be the same answer in the end.

The answer is no, it wouldn’t matter

In electronics, the formula V = IR is called Ohm's Law. It gives the relationship in a circuit between the voltage V (in volts), the current I (in amperes), and the resistance R (in ohms). Find R when I = 2 − 3i amperes and V = 34 + i volts.

Answers

Answer:

R = 5 + 8i (Ohm)

Step-by-step explanation:

R = V/I

= (34 + i)/(2 - 3i)

= 5 + 8i (Ohm)

Can I get help on 1 and 2

Answers

Answer:

1.the slope is 1/2 and the y int is -4

2.the slope is -3 and the y int is 6

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