In an inventory of 100 sodas, 65 are
diet and 30 are caffeine-free. Of the
diet sodas, 22 are caffeine-free. If a
soda in the inventory is selected at
random, what is the probability that it
is neither diet nor caffeine-free?

Answers

Answer 1

Answer:

5% I think

Step-by-step explanation:

Its mostly just a guess but I think its 5%

Answer 2

The probability that it is neither diet nor caffeine-free is 0.13.

What is Probability?

Probability is the likeliness of an event to happen.

The number of total sodas = 100

The number of diet soda = 65

The number of Caffeine free sodas = 30

The number of caffeine free sodas out of diet sodas = 22

The number of soda that are neither caffeine nor soda is 100 -65-22 = 13

The probability that it is neither diet nor caffeine-free is 13/100 = 0.13

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Related Questions

Please help me!! What is the value of???

-4×3
12÷(-6)???

Answers

Answer:

-4x3=12

12÷-6=-2

hope this helps

2.
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which
of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?

Answers

Answer:

119.2

Step-by-step explanation:

Given the following :

Mean (m) = 100 years

Standard deviation (sd) = 15 years

closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

distribution?

Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

Zscore = (X - mean) / standard deviation

1.28 = (X - 100) / 15

1.28 × 15 = X - 100

19.2 = X - 100

19.2 + 100 = X

X = 119.2

Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.

-------------------

Normal Probability Distribution

The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:  

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated, which represents the percentile of X.

-------------------

Mean of 100 means that [tex]\mu = 100[/tex]Standard deviation of 15 means that [tex]\sigma = 15[/tex]The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.

Thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 15(1.28)[/tex]

[tex]X = 119.2[/tex]

An age of 119 years is closest to the 90th percentile.

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4 ft 5 Ft what is the area​

Answers

20 feet
To get the area, you multiply the length times the width (in this case 4 times 5).

Answer:

20 ft²

Step-by-step explanation:

4 x 5 = 20 ft²

A factory produced 150 tons of steel in one year. The next year, the output increased to 180 tons. What is the percentage increase in the output?
A.
17%
B.
20%
C.
30%
D.
50%
E.
75%

Answers

Answer:

It would be 17%

Step-by-step explanation:

Answer:

B: 20%

Step-by-step explanation:

If f(x) = 6x – 1 and g (x) = StartFraction x + 1 Over 6 EndFraction, which expressions can be used to verify g(x) is the inverse of f(x)? Check all that apply.

Answers

Answer:

B and C

Step-by-step explanation:

Answer: B and C

Step-by-step explanation:

What is the measure of angle TRV? 20° 50° 60° 130°

Answers

Answer: 130

Step-by-step explanation:

Answer: 130 (D)

What is the measure of angle TRV?

The function whose graph is shown below has the following characteristics.
• Two absolute minima
• One relative maximum
O A. True
O B. False

Answers

The given graph has two absolute minima as no points are below them and one relative maximum as there is a change in direction from increasing to decreasing at that point. Hence, Option A. True is the right choice.

What are absolute maxima and absolute minima?

The absolute maxima and absolute minima are the points on the graph where the graph shows the highest and the lowest values respectively.

What are relative maxima and relative minima?

The relative maximum is the point on the graph where the graph changes its direction from an increasing function to a decreasing function.

The relative minimum is the point on the graph where the graph changes its direction from a decreasing function to an increasing function.

How to solve the question?

In the question, we are asked whether the given statement:

The function whose graph is shown below has the following characteristics.

• Two absolute minima

• One relative maximum,

is true or not.

In the given graph, we can observe that it was first a decreasing function, until a certain point, then it starts increasing until a certain point, then again decreased until a certain point, and after that went on increasing.

Hence it shows 3 points of inflections.

The first point is an absolute minimum point as the graph never goes below it.

The second point is a relative maximum as there is only a change in direction at that point, and there are points higher than that point.

The third point is an absolute minimum point as the graph never goes below it.

Therefore, we can say that the graph has:

Two absolute minimaOne relative maximum

Hence, the given statement is A. True.

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Answer:

false

Step-by-step explanation:

apie

If M is the midpoint of segment AB, then which of the following statements is/are true? AB=MB AM=MB Segment AM is congruent to segment MB.

Answers

AB is the large segment.

AM is half of the large segment.

MB is the second half of the large segment.

AM = MB is true.

Segment AM is congruent to segment MB is true.

AB = MB is false.

The statements that are true.

-Segment AM is congruent to segment MB.

- AM = MB.

What is a midpoint of a line segment?

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

If M is the midpoint of segment AB, then the following statements are true.

- AB = 2MB

Since M is the midpoint of AB, MB is half the length of AB.

Therefore,

AB is twice as long as MB.

- AM = MB

Since M is the midpoint of AB, AM, and MB are equal in length.

This is a property of the midpoint of a segment.

Now,

Segment AM is congruent to segment MB.

Since AM and MB are equal in length (as stated in statement 2), they are congruent to each other.

Therefore,

Segment AM is congruent to segment MB with AM = MB statement being true.

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3) Sue and Jim are driving on the highway. Sue takes 24 minutes to drive 40 km. If Jim drives
at the same rate, how long will it take for him to drive 115 km?
69 minutes

Answers

Answer:

69min

Step-by-step explanation:

sue: 24min 40km

.6 min per 1km

×115

115 km = 69 min

What output corresponds with I2?

Answers

Answer:

Solve for the input that corresponds to the given output value. (Round answers to three decimal places when appropriate. Enter your answers as a comma-separated list. Note: Even though the question may be completed without the use of technology, the authors intend for you to complete the activity using the technology you will be using.

Step-by-step explanation:

Ax^2+bx+c=(x+p)(x+q) What you know about p and q if c is less than 0. WILL MAKE BRAINLIEST!! If u provide EXPLANATION :)

Answers

Answer:

From what I know there is no q.

p=0 I put a slight explanation below.Hope it helps

Step-by-step explanation:

Ax^2+bx+c-p=x

Ax^2+bx+c-p-x=x-x

Ax^2+(b-1)x+c-p=0

first term is 3, common difference is 4 what is the 5th term

Answers

Answer:

19

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 4 , thus

a₅ = 3 + (4 × 4) = 3 + 16 = 19

1. Write 0.00000248 in scientific notation.​

Answers

Answer:

2.48 × 10 -6

Step-by-step explanation:

i don't know how to put it, but the negative next to the 6 is small, and high up, and so is the 6

2.48 x 10 to the power of -6

why is the following conditional logically true? If 20 is a multiple of 3, then 101 is a perfect square

Answers

Answer: A number is a perfect square only if it has a odd number

Step-by-step explanation:

As an example of the use of the prime factorization of an integer, we have the following result. Theorem. If n > 1 is a positive integer, then n is a perfect square if and only if n has an odd number of divisiors.

Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square that will be correct.

What is the reasoning?

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given the first statement

20 is multiple of 3

Since 20/3 given remainder of 3 so it is not multiple.

So the first statement is wrong.

So if the question is saying this it means the question will consider all correct statements as wrong.

Now,

101 is a perfect square is wrong but the question will consider it correct.

Hence "Since 20 is not a multiple of 3 it means the given statement is wrong so 101 is a perfect square".

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C is between B and D
BC = 8x +13
CD= 12x -73
BD =320
find the value of x

Answers

Answer:

..

...

Step-by-step explanation:

..

Answer:

x = 19

Step-by-step explanation:

Since C is between B and D , then

BC + CD = BD , substitute values

8x + 13 + 12x - 73 = 320 , that is

20x - 60 = 320 ( add 60 to both sides )

20x = 380 ( divide both sides by 20 )

x = 19

what property does this equation use.

If LM = NP , then NP = LM

-distributive
-substitution
-division
-subtraction
-multiplication
-transitive
-reflexive
-symmetric

Answers

Answer:

reflexive

Step-by-step explanation:

memorize it as the equal sign is a mirror that reflects so its the same!

Given the midpoint and one endpoint. Find the other endpoint. B) Endpoint (-3,7), Midpoint (-1,-1)

Answers

Answer:

Step-by-step explanation:

(x - 3)/2 = -1

x - 3 = -2

x = 1

(y + 7)/2 = -1

y + 7 = -2

y = -9

(1, -9) the other endpoint

which is longer, 12m or 13yd?

Answers

Answer:

13 yards

Step-by-step explanation:

Answer:

12m

Step-by-step explanation:

12 meters . a meter is approx. 4" longer than a yard, x 12 =48 inches (or thereabouts). a yard is 36 inches long therefore 12 meters is longer

What is the place value of 6 in the number 6,029?​

Answers

Answer:

six thousand

Step-by-step explanation

it lies in place of thousand and value is 6

6* 1000=6000

The place value is thousand.

What is place value?

Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.

given number:

6,029

So, place values are as follows:

9- ones

2- tens

0- hundred

6 - thousand

Hence, the place of 6 is thousand

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In expanded form, log(1,000a^3/b) is equivalent to...​

Answers

Answer:

Option (4)

Step-by-step explanation:

Given expression is,

[tex]\text{log}(\frac{1000a^3}{b})[/tex]

To solve this expression we will use the logarithmic properties.

[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]

                 = log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]

                 = 3 + 3log(a) - log(b)

                 = 3[1 + log(a)] - log(b)

Therefore, Option (4) will be the correct option.

Four boys, Kurt, Marcus, Nathaniel, and Steven, all collect baseball cards. They recently met to show each other some of the cards they had collected. Each boy brought a different amount of cards with them. Nathaniel brought twice as many as Steven, Marcus had four less than Nathaniel, but one more than Kurt. All together, they have 47 cars. How many cars did Kurt bring?

Answers

Steven's cards = x

Nathaniel's cards = 2x

Marcus' cards = 2x - 4

Kurt's cards = 2x - 5

Since the sum of the cards is equal to 47, let's set all the cards equal to 47

x + 2x + 2x - 4 + 2x - 5 = 47

Combine like terms.

7x - 9 = 47

Add 9 to both sides

7x = 56

Divide both sides by 7

x = 8

Let's plug 8 into x for Kurt's cards.

Kurt's cards = 2x - 5 = 2(8) - 5 = 16 - 5 = 11 cards.

A company invests $10,000 in a mutual fund account that earns a fixed
interest per year. The account balance, Alt), in dollars, after t years is shown
in the table below.
t
1
2
3
Alt)
10,800.00
11,664.00
12,597.12
Which of the following equations represents Aſt)?
A(t) = 10,000 + 1.08t
A(t) = 10,000(1.08) - 1
A(t) = 10,800(1.08)
A(t) = 10,800(1.08) - 1
You

Answers

Answer:

a(t)=10000+1.08t

Step-by-step explanation:

t

1

2

3

Alt)

10,800.00

11,664.00

12,597.12

The sum of 20.7 and a number is 50.5.

Answers

20.7 +x = 50.5

To solve it
x= 50.5 - 20.7
x = 29.8

Answer:

x = 29.8

Step-by-step explanation:

x represents the unknown number

20.7 + x = 50.5

x + 20.7 - 20.7 = 50.5 - 20.7

x = 50.5 - 20.7

x = 29.8


Solve the equation.
t + 25 = 26

Answers

Answer: t = 1

Step-by-step explanation:

Subtract 25 on both sides. t = 1

The solution to the equation t + 25 = 26 is t = 1.

The given equation is,

t + 25 = 26

To solve this equation,

Isolate the variable t,

Which means we need to get rid of the 25 on the left side of the equation.

To do that, Subtract 25 from both sides of the equation,

since what we do to one side, we must do to the other to keep the equation balanced.

So,

t + 25 - 25 = 26 - 25.

Simplifying this, we have t = 1.

Therefore, the solution to the equation t + 25 = 26 is t = 1.

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what is the solution of 2 - 3i and 2 + 3i? ​

Answers

Answer:

Step-by-step explanation:

Multiplying

(2 + 3i)(2 - 3i)

4 - 6i + 6i - 9i^2

4 - 12i + 9

13 - 12i

Add/subtract

2 - 3i + 2 + 3i = 2

2 - 3i - (2 + 3i) = 2 - 3i - 2 - 3i = -6i

Sherry has a package in the shape of a rectangular prism. What is the volume, in cubic inches (in.), of the rectangular prism? (use cubic inches as your unit) *

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the dimension of the prism is not given. However, the following steps can serve as a guide for you.

The volume of a rectangular prism is calculated as thus:

[tex]Volume = Length * Width * Height[/tex]

So, Take for instance

[tex]Length = 2\ in[/tex]

[tex]Width = 3\ in[/tex]

[tex]Height = 4\ in[/tex]

The Volume would be:

[tex]Volume = 2\ in * 3\ in * 4\ in[/tex]

[tex]Volume = 24\ in^3[/tex]

Help!! Me!! Please!!

Answers

can’t see the whole thing

Answer:

13 and 14

Step-by-step explanation:

the square root of 182 is 13.49 which would lie between 13 and 14

Jess is painting his car. He's created a purple color that uses red paint and blue paint in a ratio of 6:5. Jess uses 15
pints of blue paint. How many pints of paint does he use in total?
A
18
B
33
С
11
D
26

Answers

Answer:

B.) 33

Step-by-step explanation:

15/5=3

6x3=18

18+15=33

The ratio shows how many times one value is contained in another value.

If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.

The total pints of paint used in total is 33 pints.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

The ratio of minutes and minutes in 1 hour is 60 : 3600

We have,

Purple color:

Red : Blue = 6 : 5

Let,

Red colour = 6x

Blue color = 5x

Now,

Blue color = 15 pints

5x = 15 pints

x = 15/3

x = 3 pints _______(1)

Now,

Total color.

= Red + Blue

= 6x + 5x

= 11x

Now,

From (1) we get,

= 11x

= 11 x 3

= 33

Thus,

If the ratio of Red and blue is 6:5 and uses 5 pints of blue color.

The total pints of paint used in total is 33 pints.

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HELP ME PLEASE <33 I NEED THIS

Answers

The measure of DE = 90 degrees because its corresponding central angle = 90 degrees.

What is the value of x?
1/4x + 17 = x - 4
Please explain:

Answers

Answer:

x=28

Step-by-step explanation:

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