Which inequality represents all values for X for which the product below is defined?

Answer:

a)

- the probability she will win the dinner for two is 0.016

- the probability she will not win the dinner for two is 0.984

b)

- Lisa's expected earnings is $0.57

- Money she effectively contributed to the hiking club is $11.43

Step-by-step explanation:

Given the data in the question;

fortune cookies; $1 per cookies

club sold 743

a) Lisa bought 12 cookies. What is the probability she will win the dinner for two?

P( she will win ) = Number of cookies bought / Total number of cookies

P( she will win ) = 12 / 743

P( she will win ) = 0.01615 ≈ 0.016

Therefore,  the probability she will win the dinner for two is 0.016

P( she will not win ) = 1 - P( she will win )

P( she will not win ) = 1 - 0.016

P( she will not win ) = 0.984

Therefore,  the probability she will not win the dinner for two is 0.984

b)  Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$

given that value of dinner = $35

P( she will win ) = 0.01615

so

Lisa's earning = $35 × 0.01615

Lisa's earning = $0.57

Therefore, Lisa's expected earnings is $0.57

- How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$

Lisa's contribution = Money she paid for cookies - money from expected earnings

Lisa's contribution = ( 12 × $1 ) -  $ 0.57

Lisa's contribution = $12 -  $0.57

Lisa's contribution = $11.43

Therefore, Money she effectively contributed to the hiking club is $11.43

Answer:

3

Step-by-step explanation:

slope of line = gradient of line

= [tex]\frac{10-4}{3-1}[/tex]

= 3

Answer:

75%

Step-by-step explanation:

List out known probabilities

[tex]\Pr(shirt) = 0.65 = \frac{65}{100} = \frac{13}{20}\\ \Pr(pants) = 0.40 = \frac{30}{100} = \frac{6}{20}\\\Pr(shirt \cap pants) = 0.20 = \frac{20}{100}=\frac{1}{5}[/tex]

recall equation

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

Plug in values

[tex]\Pr(shirt \cup pants)=\frac{13}{20}+\frac{6}{20}-\frac{1}{5}\\\\therefore \Pr(shirt \cup pants) = \frac{15}{20} =\frac{3}{4} = 75\%[/tex]

Answer:

a)  The mean     μ  =  719,16

The median is the middle number   m =  711

The mode is the number that occurs more often

md  =  700  

b) The range   r =  67

The standard deviation   σ  =  25.63

I  ( 95 % ) = ( 667.90 ; 770.42)

Step-by-step explanation:

We order the set of numbers in ascending order

             682    687   689  693  694 700 700 700 703   706  707  710   711                                                                        712    713   730   732  734   736  739   752    753  759  768 769

The mean    μ  =  Σ xi/n

μ  =  719,16

The median is the middle number

m  =  711

The mode is the number which occurs more often

md  =  700  

The range is  r  =  769 - 682    r  =  67

c)  Interval with 95 % of observations is   ( μ + 2σ  ; μ- 2σ )

I = ( 719.16  -  2*25.63  ;  719.16  +  2*25.63)

I  ( 95 % ) = ( 667.90 ; 770.42)

Answer: 1,6         2,2       5,0    These are the correct answers.

Step-by-step explanation:

Answer:

5000 students appeared in the examination.

Step-by-step explanation:

We solve this question using Venn probabilities.

I am going to say that:

Event A: Passed in Mathematics

Event B: Passed in English.

5% failed in both subjects

This means that 100 - 5 = 95% pass in at least one, which means that [tex]P(A \cup B) = 0.95[/tex]

80% passed in mathematics 75% passed in english

This means that [tex]P(A) = 0.8, P(B) = 0.75[/tex]

Proportion who passed in both:

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

Considering the values we have for this problem

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]

3000 of them were passed both subjects how many students appeared in the examination?

3000 is 60% of the total t. So

[tex]0.6t = 3000[/tex]

[tex]t = \frac{3000}{0.6}[/tex]

[tex]t = 5000[/tex]

5000 students appeared in the examination.

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[tex]\pmb{\qquad{\qquad{\qquad{\underline{\purple{\underline{\sf{Filtration}}}}}}}}[/tex]

Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.

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Answer:

V = 217.71 in^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 (3.14) (4)^2 ( 13)

V = 217.70666

Rounding the the nearest hundredth

V = 217.71 in^3

Answer:

C. 1,620 in^3

Step-by-step explanation:

Thank you!

Answer:

500

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]52 \times (6 \div (6 + 7)) = 4 \times 6 = 24[/tex]

Step-by-step explanation:

you first add the ratios 6+7= 13 then you divide the number of sweets by the total number of the ratio 52÷13=4 then you multiply the first ratio by the 4 you found 7×4=28 for Alex then by the second ratio 6×4=24

Answer:

[tex]area \: of \: a \: rectangle = \: length \times width(or \: breadth) \: (unit ^{2} )[/tex]

Part B: I don't know part B :-)(•‿•)

Answer:

g'(x) has a range of y ≤ −6, and its vertex is at (−6, 6)

Step-by-step explanation:

Answer:

They would know a and b.

a. The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.

b. Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.

c. To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

a. The value of the mean of the sampling distribution of the sample mean.

The mean of this distribution, by the Central Limit Theorem, is the sample mean, and thus, the researches would know this after they took the sample.

b. The approximate shape of the sampling distribution of the sample mean.

Sample size is 100 > 30, and thus, by the Central Limit Theorem, they would know that the shape of the distribution is approximately normal.

c. The standard deviation of the sampling distribution of the sample mean.

To know the standard deviation of the sampling distribution of the sample mean, the researchers would have to know the population's standard deviation, which they can't get for the sample. So they would not know the standard deviation of the sampling distribution of the sample mean after they took the sample.

Answer:

5x = 11.

Step-by-step explanation:

-4x - 2y = -2

x    - 2y =  9  

Subtracting:

-4x - x - 2y - (-2y) = -2 - 9

-5x - 2y + 2y = -11

-5x = -11

5x = 11.

Answer:

[tex]12/1\frac{1}{5}[/tex] [tex]= 10[/tex]

Answer:

10

Step-by-step explanation:

Answer:

Round off the decimal to the nearest tenths.

0.82

The answer is 0.80

Step-by-step explanation:

When I learned rounding, we would round to the place value behind it then if its less than 5 than my answer would be what its rounded to. If I round 92 to the nearest tenth, it would be 90 because 2 is not greater than 5 so it would round to 90 because its the nearest tenth. If it was 95 it would be rounded to 100, any number that is 5 to 9 would be rounded to the greater tenth closer to it. So 0.82 is less than 5 nor 5 so it would round up to 0.80

Answer:

its 5 because of the formula

Step-by-step explanation:

Answer:

90

2

O

I can't see the last question clearly

Answer:

X=22

Step-by-step explanation:

add 9 to both sides

X-9+9=13+9

X=22

Answer/Step-by-step explanation:

Recall: SOH CAH TOA

✔️Sin D = Opp/Hyp

Opposite = 7

Hypotenuse = 25

Substitute:

Sin D = 7/25

[tex] D = sin^{-1}(\frac{7}{25}) [/tex]

m<D = 16.3°

✔️Cos F = Adj/Hyp

Adjacent = 7

Hypotenuse = 25

Substitute:

Cos F = 7/25

[tex] F = cos^{-1}(\frac{7}{25}) [/tex]

m<D = 73.7°

Answer:

2.

Step-by-step explanation:

You don't have to mark me brainliest but, 4=22-9x. -18=-9x. 9x=18. x=2

2.

Answer:

Percentage = 6.8% or 7%

Explanation

cold = 25/100  

Large = 27/100

large multiplied by cold = (25/100 x 27/100) / 25 x 27 =  0.0675 x 100

= 6.75%

Percentage = 7 %

or 6.8 % to 1dp

The probability is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Here the percentage that the customer ordered a cold drink is 5.5 %.

Probability is the measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can only predict the chance of an event to occur. The probability of all the events in a sample space adds up to 1.

The value is expressed from zero to one. Here zero means the event is impossible.

Here the probability to select cold drink = 25 /100

The probability to select Large drink = 22 / 100

When we multiply both the probability, then it becomes:

25 /100 × 22 / 100 = 25 × 22 = 550 / 100 = 5.5 %

Thus the probability is  5.5 %.

To know more about probability, visit;

https://brainly.com/question/31355126

#SPJ7

Answer:

D.   Pink

Step-by-step explanation:

Two equation with no solutions means the lines are parallel

Answer:

I don’t know

Step-by-step explanation:

1/27

Step-by-step explanation:

get one card is 1/3 so you do 1/3x1/3x1/3

Answer:

x  =  0,41 m    or    x  =  41 cm

r  =  2,18 m

Step-by-step explanation:

Window which allow most light is that with maximum area

The perimeter of the window is the perimeter of the semicircle  (psc ) plus the perimeter of the three sides of the rectangle, sides of the rectangle are  2*x  and 2*r  then:

pt  =  12  =  psc  + pr

psc = π*r       pr  =  2*x  + 2*r

pt  =  π*r  + 2*x  + 2*r      

pt  =  12  = π*r  + 2*x  + 2*r  (1)

The area of the window is:

A(w)  = area of the semicircle  ( π*r²/2 )  +  area of the rectangle (x*2*r)

A(w) =  ( π*r²/2 )   +  2*x*r

Using (1)  we get:   12  =  r* ( π + 2 ) + 2*x

r  =  ( 12 - 2*x ) / ( π + 2 )

Plugging that value in A(w) we find total area A(w) as a function of x

A(x)  =   π* [  (12 - 2*x ) / ( π + 2 )]²/ 2  +  2*x*( 12 - 2*x ) / ( π + 2 )

A(x)  =   π* [ 144 + 4*x² - 48*x/ ( π + 2 )² +  24*x  + 4*x²/  ( π + 2 )

A(x)  =  [  π*/  ( π + 2 )² ] * (144 + 4*x² - 48*x ) +  24*x  + 4*x²/  ( π + 2 )

Tacking derivatives on both sides of the equation:

A´(x)  =  [  π*/  ( π + 2 )² ]* 8*x - 48  + (  24 + 8*x )/ ( π + 2 )

A´(x)  = 0       [  π*/  ( π + 2 )² ]* 8*x - 48  + (  24 + 8*x )/ ( π + 2 ) = 0

π* (8*x - 48) /  ( π + 2 )    +  24  +  8*x  =  0

8*π*x  - 48*π  + ( 24  +  8*x ) *( π + 2 ) = 0

8*π*x  - 48*π  + 24*π  +  48  + 8*π*x + 16*x = 0

16*π*x  - 24*π + 16*x  + 48  = 0

x ( 16*π + 16 ) - 24*π + 48  = 0

66,24 * x   =  75,36 - 48

x  =  27,36 / 66,24 m

x  =  0,41 m    or    x  =  41 cm

r  =  ( 12 - 2*x ) / ( π + 2 )

r  =  12 - 2* 0,41 / 3,14 + 2

r  =  11,18 / 5,14

r  =  2,18 m

Answer:

8 meters

Step-by-step explanation:

perimeter of a rectangular figure = 2( length + width)

=> 22 = 2 ( length + 3)

=> 11 = length + 3

=> length = 8

Answer:

52/63

Step-by-step explanation:

Given the expression;

4/7 * 13/9

WE are to take the product

= (4/9)* (13/7)

= (4*13)/(7*9)

= 52/63

Hence the required fraction is  52/63

Another alternative answer is "box-and-whisker plot"

The box portion consists of data between Q1 and Q3, with the median somewhere in between. The whiskers represent stuff below Q1 and above Q3. The tip of each whisker represents the min and max, assuming there are no outliers. If there are outliers, then you'll have island points disconnected from the main boxplot.

Answer:

C

Step-by-step explanation:

Though you may think that u can change that piece to there, but the possibility is very less