A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter b,e or c . If there is more than one element in the set, separate them with commas.

Answers

Answer 1

Answer:

Step-by-step explanation:

given that a bag contains 6 balls labelled A to F.

Given that a ball is drawn at random and its letter is recorded as outcome.

Since each ball is equally likely to be drawn the sample space for one ball drawing is

S = {A,B,C,D,E,F} and n(S) = 6

Let G be the event of choosing a lable from D to F

G = The event of choosing a label from D to F= {D,E,F}  n(A) = 3

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled:  A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

       This means that the sample space is given by:

                     Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from   D to F.

            Then the sample space is:

                     Sample space= {D,E,F}


Related Questions


Help
4.5+0.1x=7-0.25x

Answers

Answer:

x=7.1429 I think that's the answer and I think it's A

can someone please help me with this question

Answers

Answer:

B. 15 inches

Step-by-step explanation:

you multiply 6 x 5 since those are the dimensions of the triangles which equals 30 then you divide by 2 to get an answer of 15

Answer:

i would say A.  10in

Step-by-step explanation:

Please tell me how to solve for the area cause I thought the formula was ab/2

Answers

Answer:

Step-by-step explanation:

(a). 5.33 m

(b). 41.65 m²

Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon.

Answers

The radius of the balloon given the information in the question is 8.98cm.

What is the radius of the balloon?

The first step is to determine the volum of the balloon.

Volume = 81π cm^3 x 12 = 972π cm^3

Now, determine the radius using this formula:

∛[Volume / (4/3π )]

∛[972π cm^3/ (4/3π )] = 8.98cm

Here is the complete question:

Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?

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What is the interest rate if a principal of $572 earns $228.80 in interest in four years?​

Answers

Answer:

the answer is 10% if it is simple interest you're talking about.

The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.

A 2-column table with 5 rows. Column 1 is labeled Unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. Column 2 is labeled Power of 10 with entries 10 Superscript negative 2, 10 Superscript 0, 10 squared, 10 cubed, 10 Superscript 6.

Complete the work to determine how many times larger a megaliter is than a hectoliter.

1. Divide powers:
106
102
2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
3. Divide common factors:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
4. Simplify.
A megaliter is
times larger than a hectoliter.

Answers

The megaliter is 10,000 times larger than a hectoliter

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

1 mega liter = 10⁶ Liter

1 hectoliter = 10² Liter.

Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter

Find out more on equation at: https://brainly.com/question/2972832

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

Got it right on the assignment.

Why wont anyone give me just the answers when i need them?

Answers

Answer:

id.k maybe because people are busy ,

i think the same as you.

Step-by-step explanation:

But where is the question please

what is the formula of equilateral triangle .class-8​

Answers

Answer:

Step-by-step explanation:

The perimeter of an equilateral triangle is:

P = 3a (where a any length of the triangle)

The area of an equilateral triangle is:

[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)

Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:

[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]

If side is s

Then three important formulas are

[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)

[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]

[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]

25 POINTS! Omilia is making chapatis by mixing flour and water in the ratio of 1 : 3. She starts by mixing 2.5 cups of water with 4 cups of flour. How many more cups of water does she need?

Answers

Answer: Below

Step-by-step explanation:

We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.

We already have 2.5 and 4, so we make the equation:

2.5 + x = 12

Simplify.

x = 7.5

Our answer is 7.5

Kevin works 2 hours more than emily each time they work together. Using this information, complete the table

Answers

If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.

How many hours do Kevin and Emily work?

The number of hours can be expressed as:

The number of hours Emily works = K - 2 or the number of hours Kevin works minus 2.The number of hours Kevin works = E + 2 or number of hours Emily works plus 2.

What are the missing numbers?Emily = Kevin4 hours = 6 hous (E+2)5 hours (K-2) = 7 hours 6 hours = 8 hours (E+2)h= j (E+2)

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An angle measures 46° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

68 and 22 degrees

Step-by-step explanation:

Complimentary angles sum to 90

x  +   (x-46) = 90

2x = 90 + 46

2x = 136

x = 68    and the other is 68 - 46 = 22

A store pays $98.25 for a surfboard and marks the price up by 40%. What is the amount of the mark-up?

Answers

40% of $98.25 = $39.30

So the amount of mark up is $39.30.

The volume of a paper cone of radius 2.4cm is 95.4 cm3.

The paper is cut along the slant height from O to AB.

The cone is opened to form a sector OAB of a circle with centre O.

Calculate the sector angle x°.

[The volume, V, of a cone with radius r and height h is V= 1/3 x π x r² x h.]

Answers

The sector angle formed by the cone when it is opened is: 54°.

What is the Curved Surface Area of a Cone?

Curved surface area of a cone = πrl, where l is the slant height and r is the radius of the cone.

What is the Area of Sector?

Area of a sector in a circle = ∅/360 × πr², where ∅ is the sector angle.

Step 1: Find the height (h) of the cone using the volume formula, V= 1/3 x π x r² x h:

V = 95.4 cm³

r = 2.4 cm

Plug in the values:

95.4 = 1/3 x 3.14 x 2.4² x h

95.4 = 6.03 x h

h = 15.8 cm

Step 2: Use the pythagroean theorem to find the slant height (l) of the cone

l = √(h² + r²)

Plug in the values

l = √(15.8² + 2.4²)

l = 16 cm.

Step 3: Find the curved surface area of the cone

Curved surface area = πrl = π(2.4)(16) = 120.6 cm².

Step 4: Find the sector angle of the sector formed by the cone when opened

Curved surface area of the cone = area of the sector formed by the cone = 120.6 cm².

Area of a sector in a circle = ∅/360 × πr², therefore:

120.6 = ∅/360 × (3.14)(16²)

120.6 = ∅/360 × 803.84

(120.6)(360) = (∅)(803.84)

43,416 = (∅)(803.84)

43,416/803.84 = ∅

∅ = 54°

Therefore, the sector angle formed by the cone when it is opened is: 54°.

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A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a party, how many boxes of crackers should he buy?

Answers

If James needs 3 pounds of crackers, and
each box is 200z, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.

The human resources department at a large company regularly conducts an employee satisfaction survey. One item on the survey presents employees with the statement, “I am happy overall at work.” Based on historical data, here is the distribution of responses to this item:

Answers

Answer:

There is sufficient evidence to conclude that the distribution of responses is different now than it was historically.

Step-by-step explanation:

Since the p-value is less than the alpha significance level you reject the null hypothesis that the histrocial data matches the current.

We don't have enough evidence to conclude that the distribution of responses is different now than it was historically.

What is human resources department?

Human resources are the people who make up an organization's, business sector's, industry's, or economy's workforce.

A more specific concept is human capital, which refers to the knowledge and skills that individuals possess.

The chi-square goodness-of-fit test has a p-value of 0.089 at a significance level of 0.10. We cannot reject the null hypothesis because the p-value is greater than 0.10.

As a result, we lack sufficient evidence to conclude that the distribution of responses is different now than it was previously.

"We don't have enough evidence to conclude that the distribution of responses is different now than it was historically," is the correct answer.

Thus, this can be concluded regarding the given scenario.

For more details regarding human resources department, visit:

https://brainly.com/question/29022219

#SPJ3

Your question seems incomplete, the probable complete question is:

Transcribed image text: Inference for categorical data (chi-square tests); Unit test The human resources department at a large company regularly conducts an employee satisfaction survey. One them on the survey presents employees with the statement, "I am happy overall at work. Based on historical data, here is the distribution of responses to this item Response Strongly Agree agree Disagree Strongly disagree 70% 15% 5% 10% Historical distribution The human resources department wants to test if the most recent responses fit the historical distribution. Here is a sample of 150 of the most recent responses to the statement along with a chi-square goodness-of-fit test. Response Strongly agree Agree Disagree Strongly disagree Inference for categorical data (chi-square tests): Unit test Response Strongly Agree Disagree Strongly agree disagree Observed 104 20 12 Expected 105 22.5 7.5 15 Components 0.01 0.28 5.63 0.6 x 6.52, DF - 3 P-value=0.089 Assume that all conditions for inference were met. At the a = 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was Inference for categorical data (chi-square tests: Unit test Assume that all conditions for inference were met At the a 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was historically We don't have enough evidence to conclude that the distribution of responses is different now than it was historically There is sufficient evidence to conclude that the distribution of responses is the same as it was historically No conclusions can be made from this test, because O expected counts cannot include decimals. There must have been a mistake in the calculations.

Given A, B and C are sets, consider the following text:

(1) If B ∩ C = ∅ and A ⊂ (B ∪ C) then (A ∪ B) ∩ C = A ∩ B

(2) A ∪ (B ∩ C) ⊂ (A ∪ C) ∩ B

(3) If set A has 9 elements, set B has 7 elements and power set of A - B has 32 elements then power set of B - A has 16 elements.


Which statements are correct?

A. (1) and (2) are correct but (3) is not.

B. (1) and (3) are correct but (2) is not.

C. (2) and (3) are correct but (1) is not.

D. All are correct.

E. All are incorrect.

Answers

Let's check one by one

#1

B$\cap$ C=Ø

And

A$\subset$ (B U C)A$\subset$ B U A$\subset$ C

Till now it's ok but

(A UB)$\cap$ CA$\cap$ C U B$\cap$C

But as B$\cap$ C has no elements this expression yields A$\cap$ C

Hence

False

#2

Solve RHS

(A UC )$\cap$ BA$\cap$ B U B$\cap$ C

But according to first statement second part has no elements so it yields only

A$\cap$ B

And

It denotes to common elements of A and B not all elements of A

Hence

False

#3

[tex]\\ \rm\Rrightarrow P(A-B)=32[/tex]

[tex]\\ \rm\Rrightarrow 2^{|A-B|}=32[/tex]

[tex]\\ \rm\Rrightarrow 2^{|A-B|}=2^5[/tex]

[tex]\\ \rm\Rrightarrow |A-B|=5[/tex]

[tex]\\ \rm\Rrightarrow A-B=\pm 5[/tex]

As elements can't be negative integer it's only 5.

[tex]\\ \rm\Rrightarrow A\cap B=A-(A-B)=9-5=4\star[/tex]

And

[tex]\\ \rm\Rrightarrow P(B-A)=16[/tex]

[tex]\\ \rm\Rrightarrow 2^{|B-A|}=16[/tex]

[tex]\\ \rm\Rrightarrow 2^{|B-A|}=2^4[/tex]

[tex]\\ \rm\Rrightarrow |B-A|=4[/tex]

[tex]\\ \rm\Rrightarrow B-A=\pm 4[/tex]

Again take it positive 4

[tex]\\ \rm\Rrightarrow B\cap A=B-(B-A)=7-4=3[/tex]

As

[tex]\\ \rm\Rrightarrow A\cap B\neq B\cap A[/tex]

This statement is false

Conclusion:-

All statements are incorrect

Option E

Someone please
help me I can’t solve this for the life of me!!!!

Answers

Answer:

I would think that It is the first one but if it is not trust the other people

Step-by-step explanation:

Please answer quickly Attachment down below

Answers

Answer:

He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.

Step-by-step explanation:

area of a triangle= b×h×1/2

therefore area of each triangle(lateral face)= 6×4×1/2= 12

12×4 because there are 4 triangles=48

then the area of the base= 6×6= 36

total surface area= 36+ 48=84

What is the y-intercept and the x- intercept(s)?

Answers

X intercept is -4
Y intercept is 2

Answer:

y-intercept is 2

x- intercept(s) are -4 and 2

Step-by-step explanation:

y-intercept is where the line crosses the y line (vertical)

x- intercept is where the line crosses the x line (horizontal)

Surface area please help​

Answers

Answer:

238

Step-by-step explanation:

First, you have to figure out the area for each of the boxes, and then you add all of the areas together

9. At a high school, 40% of the students play an instrument. Of those students, 20% are freshmen. Of the students who do not play an instrument, 30% are freshmen. What is the probability that a student selected at random is a freshman who plays an instrument? ​

Answers

Answer:

0.6%

Step-by-step explanation:

40% is the percentange of how many students play an instrument. (the whole) 20% is how many freshmen play. (part)

30% are the freshmen. 30% is over 100%.

20 x 100= 2000 and 40 x 30= 1200.

With the answers we got (2000 and 1200) we divide!!

2000÷1200=0.6

Which means the probabillity that the student is a random freshmen is 0.6% :)

I’m posting a lot of these until I reach 90 on ixl, please bear with me lol

Answers

Answer = 327.5 ft2
Solution in picture

Answer:

327.5 feet²

Step-by-step explanation:

Let's divide the figure into multiple shapes (Refer to image). To determine the area of the figure, we need to find the area of the divided shapes, then sum it up to obtain the area of the figure.

Determining the area of the triangle:

Given dimensions:

Height = 11 feet

Determining the base of the triangle:

[tex]22 + b + 5 = 7 + 8 + 17[/tex]

[tex]27 + b = 32[/tex]

[tex]b = 32 - 27[/tex]

[tex]b = 5 \ \text{ft}[/tex]

Substituting the base and the height:

[tex]\text{Area of triangle} = \frac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\text{Area of triangle} = \frac{1}{2} \times 5\times11[/tex]

Simplifying the R.H.S to determine the area:

[tex]\text{Area of triangle} = 5\times5.5[/tex]

[tex]\text{Area of triangle} = 27.5 \ \text{ft}^{2}[/tex]

Determining the area of rectangle₁

Given dimensions:

Length = 17 feetBreadth = 5 feet

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{1}} = LB[/tex]

[tex]\text{Area of rectangle}_{1}} = (5)(17)[/tex]

Simplify the R.H.S to determine the area:

[tex]\text{Area of rectangle}_{1}} = 85 \ \text{feet}[/tex]

Determining the area of rectangle₂

Given dimensions:

Length = 5 + 7 feetBreadth = 8 feet

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{2} = LB[/tex]

[tex]\text{Area of rectangle}_{2} = (7 + 5)(8)[/tex]

Simplify the R.H.S to determine the area

[tex]\text{Area of rectangle}_{2} = (7 \times 8) + (5 \times 8)[/tex]

[tex]\text{Area of rectangle}_{2} = 56+ 40[/tex]

[tex]\text{Area of rectangle}_{2} = 96 \ \text{feet}^{2}[/tex]

Determining the area of rectangle₃

Given dimensions:

Length = 17 feetBreadth = 7 feet

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{2} = LB[/tex]

[tex]\text{Area of rectangle}_{2} = (17)(7)[/tex]

Simplify the R.H.S to determing the area:

[tex]\text{Area of rectangle}_{2} = 119\ \text{feet}^{2}[/tex]

Determining the area of the figure:

A (Figure) = A (Triangle) + A (Rectangle₁) + A (Rectangle₂) + A(Rectangle₃)

                 =     27.5 + 85 + 96 + 119

                 =     327.5 feet²

for the given equation, enter the value of B when x =10. Bx=20​

Answers

[tex]b = 2[/tex]

Step-by-step explanation:

[tex]bx= 20[/tex]

insert x=10

[tex]b(10) = 20[/tex]

divide both sides by 10

[tex]b(10) \div 10 = 20 \div 10[/tex]

[tex]b = 20 \div 10[/tex]

simplify

[tex]b = 2[/tex]

Vertical angles are always adjacent. True False

Answers

Answer:

False

Step-by-step explanation:

Vertical angles are not always adjacent, but they are always congruent.

Hope that helps!

Answer:

False

Step-by-step explanation:

Hope it will help you*

The graph of an exponential model in the form y=a•b^x passes through the points (3,5) and (4, 10).
Which point is also on the graph?

Answers

Answer:

Option C

Step-by-step explanation:

Attached photo might help you out

express 0.23 (bar) in the form of p/q

Answers

Answer:

[tex]0.\overline{23}= \frac{23}{99}[/tex]

Step-by-step explanation:

Let [tex]x = 0.\overline{23}[/tex]....(1)

Multiply both sides by 100.

[tex]100x = 23.\overline{23}[/tex]....(2)

Subtracting equation (1) from equation (2)

[tex]100x -x= 23.\overline{23}-0.\overline{23}[/tex]

[tex]\implies 99x= 23[/tex]

[tex]\implies x= \frac{23}{99}[/tex]

[tex]\implies\huge{\orange{ 0.\overline{23}= \frac{23}{99}}}[/tex]

I'LL MAKE YOU BRAINLIEST IF YOU ANSWER THIS

In the triangle shown, the ratio of the height to the length of the base is 3:4.


Chose True or False on A-C.


A. The area of the triangle is twice the area of a parallelogram with the same base and height


B. The height is 3/4 the base length.


C. The area is 8.64 mm²

Answers

Answer:

A. False

B. True

C. True

Step-by-step explanation:

A: Area of traingle = 1/2 × Base Length × Height

Area of parallelogram = Base Length × Height

Therefore, Statement A is False.

B: Base on the ratio for height to base length 3:4,

Statement B is True.

C: Base Length = 4.8 ÷ 4 × 3

= 3.6 mm

Area of Triangle = 1/2 × Base Length × Height

= 1/2 × 3.6 × 4.8

= 8.64mm²

Therefore, Statement B is True.

My sister needs help again quick

Answers

mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -

correct answer:

6×7-16:4

= 42-4

= 38

Hiroko is trying to find the value of d in 10d + 490 = 2,500. he starts by correctly rewriting the equation as 10(d + 49) = 10(250). How could this help Hiroko figure out the value of d?

Answers

Answer:

Hiroko removed common factors, which leads to smaller numbers, which can be easier to work with.

Step-by-step explanation:

However, this step is not entirely needed in the grand scheme of solving the problem. It simply uses smaller numbers to digest.

Do the opposite of PEMDAS when isolating the variable, d. Note the equal sign, what you do to one side of the equal sign, you do to the other.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)
Multiplication

Division

Addition

Subtraction.

First, subtract 490 from both sides of the equation:

10d + 490 (-490) = 2500 (-490)

10d = 2500 - 490

10d = 2010

Next, divide 10 from both sides of the equation:

(10d)/10 = (2010)/10

d = 2010/10

d = 201

201 is your value for d.

~

5)Find the mean, median, mode, range, first quartile, third quartile, and the interquartile range for
each data set given. Is the data skewed?
a. 7, 12, 1, 7, 6, 5, 11, 10, 14, 16, 16, 8, 9, 11, 12, 3
b. 85, 105, 95, 90, 115, 10, 8, 7, 5, 9, 10, 7

Answers

Answer:

See below

Step-by-step explanation:

DefinitionsMean - average numberMedian - the middlepoint of the data setMode - the most repeated data in the setRange - the difference between the minimum and maximum values of data setFirst quartile - Q1, the median of the lower half of the data setThird quartile - Q3, the median of the upper half of the data setIQR - the difference of Q3 and Q1Step 1

Put the data in the ascending order

a) 1, 3, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 14, 16, 16b) 5, 7, 7, 8, 9, 10, 10, 85, 90, 95, 105, 115Step 2

Find all the numbers

a)

Mean = (1+3+ 5+ 6+ 7+ 7+ 8+ 9+ 10+ 11+ 11+ 12+ 12+ 14+ 16+ 16)/16 = 9.25Median = (9 + 10)/2 = 9.5Mode = noneRange = 16 - 1 = 15Q1 = (6 + 7)/2 = 6.5Q3 = 12IQR = 12 - 6.5 = 5.5The data is almost uniform as the mean and median are very close

b)

Mean = (5+ 7+ 7+ 8+ 9+ 10+ 10+ 85+ 90+ 95+ 105+ 115)/12 = 45.5Median = 10Mode = noneRange = 115 - 5 = 110Q1 = (7 + 8)/2 = 7.5Q3 = (90 + 95)/2 = 92.5IQR = 92.5 - 7.5 = 85The data is skewed left as the mean and median are too differenet
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