A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a 4.

Problem 22

a)

The face cards are Jack, Queen, King. We have four copies of each.

There are 3*4 = 12 face cards total.

12/52 represents the probability of picking a face card.

4/52 represents the probability of picking an ace, since we have 4 aces out of 52 cards. We don't drop to 51 since we put the first card back.

Multiplying the fractions gives (12/52)*(4/52) = 48/2704 = 3/169

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

b)

We do the same steps as before, but the 4/52 will be changed to 4/51. This is because the first card is not put back.

(12/52)*(4/51) = 48/2652 = 4/221

========================================================

Problem 23

a)

4/52 represents the probability of picking a '2', and it also represents the probability of picking a '10' if we put the first card back

(4/52)*(4/52) = 16/2704 = 1/169

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

b)

We'll change the second instance of 4/52 into 4/51 because that first card isn't put back

(4/52)*(4/51) = 16/2652 = 4/663

========================================================

Problem 24

a)

4/52 = probability of picking an ace

12/52 = probability of picking a face card

4/52 = probability of picking '7'

Each denominator is 52 because we are putting the cards back

(4/52)*(12/52)*(4/52) = 192/140608 = 3/2197

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

b)

We do the same thing as before, but we decrease the denominator by 1 each time we pull out another card

(4/52)*(12/51)*(4/50) = 192/132600 = 8/5525

========================================================

Problem 25

a)

The probability of picking a king is 4/52. This is the same whether we're on the first king, second or third. This is because we're putting the card back.

(4/52)*(4/52)*(4/52) = 64/140608 = 1/2197

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

b)

Now that the cards aren't put back, we'll have the denominators drop by 1 each time (52,51,50)

So the probability is

(4/52)*(4/51)*(4/50) = 64/132600 = 8/16575

Step-by-step explanation:

For the first one, you have the -2 step right, but now we're at

f(x) -2 = x³

We have to take the cube root of each side to solve for x, which looks like

∛(f(x)-2) = x or (f(x)-2)^(1/3) = x. This makes our inverse function ∛(x-2) Putting a 3 to the side multiplies the value by 3, and doesn't cube root it.

For your next incorrect answer, you simply need to plug the inverse function that I just gave in.

For the one after that, the question is asking to plug in f(x). We know that our inverse is ∛(x-2) , and the question is asking to plug f(x) in for x here. Thus, in the box, simply put down x³+2

For the last incorrect answer, we need to find the cube root of something, and by plugging in f(x) into the previous one, we are left with ∛(x³+2-2). Therefore, in the box, simply put down x³ as that is what's left

Answer:

m=4, -1

Step-by-step explanation:

if i am interpreting this correctly, you are wanting to find at what value of m would the solution be zero.

so, there are two expressions that can cause an answer of 0.

1) if 0=m2-4

so solve for m2, and you get 4=m2

2) if 0=m2+1

solve for m2, and you get -1=m2

you can check your work by plugging the values back into the equation.

P(m)=(4-4)(4+1)

=(0)(5)

=0

and

P(m)=(-1-4)(-1+1)

=(5)(0)

=0

Answer:

??????????????

Step-by-step explanation:

sorry di ko po alam godbless po

Answer:

The correct answer is "7,239".

Step-by-step explanation:

Given values:

Standard price,

SP = $1.90

Actual quantity purchased,

AQP = [tex]5.08\times 9500[/tex]

        = [tex]48,260 \ Yards[/tex]

Actual price,

AP = $2.05

Now,

The material price variance will be:

= [tex](AQP\times AP)-(AQP\times SP)[/tex]

By substituting the values, we get

= [tex](48260\times 2.05)-(48260\times 1.90)[/tex]

= [tex]98933-91694[/tex]

= [tex]7,239[/tex]

Answer: Hello your question has some missing data that I was able to find and attach below

A recent 10-year study conducted by a research team at the Great Falls Medical School was conducted to assess how age, systolic blood pressure, and smoking relate to the risk of strokes. Assume that the following data are from a portion of this study. Risk is interpreted as the probability (times 100) that the patient will have a stroke over the next 10-year period. For the smoking variable, define a dummy variable with 1 indicating a smoker and 0 indicating a nonsmoker.

answer :

The condition : Client age ≤ 31.26 years

Step-by-step explanation:

First step : perform a regression analysis via excel ( result attached below )

P-value = 2.06E-07

Next determine the condition on which the company will sell its policy

Y = - 91.7595 +  1.0767x1 + 0.2518x2 + 8.7399x3

1  < -91.7595 + 1.0767x1 + 0.2518*200 + 8.7399*1

make X1 subject of equation above

X1 < 31.26

Answer:

What does it mean?

explain properly i will answer your question.

Answer:

Answer:  First Number Line

Step-by-step explanation:

Answer:

Balance will be £3.92

Step-by-step explanation:

Cost of  1 loaf = £1.52

Therefore, cost of 4 loaves = 4 x 1 . 52 = £6.08

So if you pay with £10 your balance will be = 10.00 - 6.08 =  £3.92

The solution is  £ 3.92

The amount of money after the purchase of 4 loaves of bread is given by the equation A = £ 3.92

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The total amount of money = £ 10

The cost of one loaf of bread = £ 1.52

Now , the number of loaves of bread = 4 loaves

So , the cost of 4 loaves of bread = 4 x cost of one loaf of bread

Substituting the values in the equation , we get

The cost of 4 loaves of bread = 4 x 1.52

The cost of 4 loaves of bread = £ 6.08

The amount of money after the purchase A = total amount of money - cost of 4 loaves of bread

Substituting the values in the equation , we get

The amount of money after the purchase A = £ 10 - £ 6.08

The amount of money after the purchase A = £ 3.92

Therefore , the value of A is £ 3.92

Hence , the amount is £ 3.92

To learn more about equations click :

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Answer:

A) (2x+3)(x+7) B) (3x-2)(x-5)

Step-by-step explanation:

A) 2x^2+17x+21=(2x+3)(x+7)

B) 3x^2-17x+10=(3x-2)(x-5)

Answer: 12%

Step-by-step explanation:

Original amount = Rs 1550

VAT = Rs 1736 - Rs 1550 = Rs 186

VAT rate = VAT/Original amount × 100

= 186/1550 × 100

= 18600/1550

= 12%

Therefore, the VAT rate is 12%.

Check:

= Rs 1550 + (12% × Rs 1550)

= Rs 1550 + $186

= Rs 1736

Answer:

b) f(x) = x + 6

Step-by-step explanation:

The coordinate (0, 6) makes the y-intercept = 6. Only one of these functions has that intercept: f(x) = x + 6. If you plug in each coordinate the outputted y-value matches up, making this the right answer.

Answer:

3) 7square+11square=xsquare

49+121=x square

170=x square

x=13.038

5)9square+40square=x square

81+1600=x square

1681=x square

x=41

6)4square+6square=x square

16+36=x square

x square=52

x=7.211

i do not answer the fourth question.sorry if i can i will try

Step-by-step explanation:

10x-3(x-6)=x+30

10x-3x+18=x+30

7x+18=x+30

6x=12

x=2

Answer:

x=2

Step-by-step explanation:

10x-3(x-6)=x+30

Distribute

10x -3x+18 = x+30

Combine like terms

7x +18 = x+30

Subtract x from each side

7x-x +18 = x+30-x

6x +18 = 30

Subtract 18

6x+18-18 = 30-18

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Answer:

the answer is c. 300

Step-by-step explanation:

18+32×12÷2

base 1 + base 2 × height ÷ 2

Answer:

The missing angle is 120

Step-by-step explanation:

Given

See attachment

Required

The missing angle (?)

Let the missing angle be x

So:

[tex]x + 60 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]x = 180-60[/tex]

[tex]x = 120[/tex]

Answer: The Last Choice- D. 2/3 x 2/5

Step-by-step explanation:

I guessed the answer............ JK

1/3 x 1/5 = 1/15

1/3 x 2/5 = 2/15

2/3 x 1/5 = 2/15

2/3 x 2/5 = 4/15

So, the last choice is correct.

Answer:

The 95% confidence interval is ( 27.126 , 34.674)

Step-by-step explanation:

Given

The t critical value at 0.05 level = 2.023 for the df = 39

Confidence interval = 95%

Mean  

[tex]\bar{x} - t * \frac{s}{\sqrt{n} } < \mu < \bar{x} + t * \frac{s}{\sqrt{n} }[/tex]

Substituting the given values we get -

[tex]\30.9 - 2.023 * \frac{11.8}{\sqrt{40} } < \mu < \30.9 + 2.023 * \frac{11.8}{\sqrt{40} }\\27.126 < \mu < 34.674[/tex]

Hence, the 95% confidence interval is

( 27.126 , 34.674)

Answer:

C

Step-by-step explanation:

The absolute value of |13| and |-13| is always 13. It never goes negative unless there is a minus sign outside the absolute value |  |   symbol. A is wrong

B: Not correct. Read the explanation for A. The answer to B is - 13

C: Correct. See the remark the was made about A

D: Incorrect as well. The minus is outside the absolute value symbol. The answer is - 13

Answer:

C .////.

Step-by-step explanation:

When you have /13/ its always positive even if there's a negative in there. If there was the negative symbol on the outside its a negative number :)

Answer:

-

Null hypothesis             H₀ : σ² ≤ 0.02

Alternative hypothesis Hₐ  : σ² > 0.02

- Chi Square = 51.2

- p-value = 0.1104

- since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).

We fail to reject null hypothesis.

- So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.

Step-by-step explanation:

Given the data in the question;

filling variance for boxes of cereal is designed to be .02 or less

sample size n = 41 boxes

standard deviation S = 0.16 ounces

level of significance = 0.05

Hypothesis;

Null hypothesis             H₀ : σ² ≤ 0.02

Alternative hypothesis Hₐ  : σ² > 0.02

{ Upper tail test }

Test statistics;

Chi Square = [ ( n-1 ) × S² ] / σ²

Chi Square = [ ( 41-1 ) × (0.16)² ] / 0.02

Chi Square = [ 40 × 0.0256 ] / 0.02

Chi Square = 1.024/ 0.02

Chi Square = 51.2

Degree of freedom df = n - 1 = 41 - 1 = 40

Chi square value at 0.05  and df of 40 = 55.7585

p-value = 0.1104

since the calculated p-value ( 0.1104 ) is greater than the level of significance ( 0.05 ).

We fail to reject null hypothesis.

So at, 5% level of significance, there is no evidence to support that the variance in the cereal box fillings is designed to be 0.02 or less.

Answer:

PE/SE = 5.02×10¹

Step-by-step explanation:

Sun-Earth (SE) = 93×10⁶ miles

Pluto-Earth (PE) = 4.67×10⁹ miles

so, PE/SE = (4.67×10⁹) / (93×10⁶) = (4.67×10³)/93 =

= 50.215053763440860215... =

= 5.02×10¹ / 1 or simply 5.02×10¹

in other words, Pluto is a little bit more than 50 times farther away from Earth, than Earth is from the Sun.

Step-by-step explanation:

jnx-avkj-uup p.l.z join

Answer:

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

Answer:

24

Step-by-step explanation:

diff is 12

12x2 is 24

Answer:

6

Step-by-step explanation:

1) A B C

2) B A C

3) C A B

4) A C B

5) B C A

6) C B A

(I probably understood it incorrectly)

Answer:

A = -1

B = -3

Step-by-step explanation:

you need to do all the multiplication on both sides and then simply compare the factors of the various powers of x.

so,

-9x² - 9×A×x + 2 = 3×B×x² + 6x -Bx - 2 + 4

-9x² - 9×A×x + 2 = 3×B×x² + (6-B)x + 2

the x-less constants 2 = 2 are correct. now we need to compare the factors for the other parts of x.

we have left and right only one expression of x²

-9x² on the left

3×B×x² on the right

therefore,

-9 = 3×B

=> B = -3

otherwise the equation would not be correct for all values of x.

the only other parts remaining are

-9×A×x = (6-B)x = (6 - -3)x = (6+3)x = 9x

=>

-9×A = 9

-A = 1

A = -1

remember, all parts of the left and of the right side must be equal for the equation to be true in all cases.

Answer:

$1827

Step-by-step explanation:

Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.

Hence, Cheryl's gross weekly earning is $1827 per week.

Answer:

Step-by-step explanation:

2x − y = 4

2x − 4 = y

y = 2x - 4

negative inverse of slope is perpendicular

y = -1/2 x - 4

~~~~~~~~~~~~~~~~~~~~~~~

point slope form  of a line

(-5, 1) & m = -1/2

1 = -1/2 (-5) + b

1 = 5/2 + b

b = -3/2

Final answer:  y = -1/2 x - 3/2

or if you prefer: 2y + x = -3

Answer : A,D,G

Step-by-step explanation:

A factor of experiment is the controlled independent variable.

The factor of experiments are,

Hence option d,e,f and g is the factor of experiment.

A factor of experiment is the controlled independent variable.

Given information

The experiment is conducted on the basis of age.

The experiment is not conducted on the basis of gender.

In the experiment the relation between watching TV a lot or playing video game and child's academic success at school and/or their success at sports tried to obtained.

Factors of this experiment-

Thus the factor of experiments are,

Hence option d,e,f and g is the factor of experiment.

Learn more about the  factor of experiments here;

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