Suppose that you are asked to pick a card from a deck of 52 cards. Once you have selected a card, you place it face down on the table. You are then asked to selected another card from the deck. Is the event of you picking the first card going to affect the probability of the second card selected, why or why not? Are these events independent or dependent?

Answers

Answer 1

Answer:

Step-by-step explanation:

The second card is influenced by the first only in that you have not replaced the first card. That makes a difference.

1/52 is the probability for the first card.

1/51 is the probability for the second card.

They are independent events. Drawing the 7 of diamonds does not make the chances of drawing the Ace of Spades other than the 7 came first and the probability of getting the Ace is slightly larger.

Answer 2

Step-by-step explanation:

The only way the second card is influenced by the first is if you did not swap out the first card. That alters everything.

The likelihood of getting the first card is 1/52.

The odds of getting the second card are 1/51.

They happen separately. Other than the fact that the 7 came first and the odds of receiving the Ace is a little bit higher, drawing the 7 of diamonds does not increase the chances of drawing the Ace of Spades.


Related Questions

Use the inequality 24 ≥ 58 + 5(x - 3.8)
Solve for the inequality X.
Pls help I need to hand it in by 4:00..

Answers

Answer:

Work shown below!

Step-by-step explanation:

24 ≥ 58 + 5(x - 3.8)

Distribute;

24 ≥ 58 + 5x - 19

Collect like terms;

24 ≥ 39 + 5x

Subtract 39 from both sides;

-15 ≥ 5x

Divide both sides by 5;

x ≥ -3

What is the Additive inverse of -7?​

Answers

Answer:

7

Step-by-step explanation:

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.

The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.

Examples

In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.

-3 + 3 = 0

3 - 3 = 0

The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.

Answer:

7

Step-by-step explanation:

The additive inverse of a number is is the number that, when added to it, yields zero.

A friend gives you two baseball cards for your birthday. Afterward you begin collecting them. You buy the same number of cards once each week. The equation y=4x +2 describes the number of cards ,y, you have after x weeks.

Answers

Answer: x and y have the same absolute value. Also, x is a positive number, and y is a negative number.

Step-by-step explanation:

Answer:

The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding  2 cards each week.

Step-by-step explanation:

Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4

Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:

m is the slope

b is the y-intercept.

We have that:

Slope, m=2.

A slope of 2 indicates that you buy 2 cards per week.

The y-intercept of the line, b=4.

This is the starting value. In this case, it represents the number of cards you were given by your friend.

The slope is 2, while the y-intercept is 4. This equation represents starting with  4 cards and adding  2 cards each week.

Can you do this for me?

Answers

Answer:

10, 20, 30, 40

2.5, 5, 7.5, 10

120.8, 60.4, 30.2, 15.1

3624, 1812, 906, 453

hope this helps!

On Monday, Erin ran a mile in 7.5 minutes. On Tuesday, she ran a mile in 6.9 minutes. What was the average time for a mile over those two days, expressed as a fraction?

Answers

Answer: 14.4/2

Step-by-step explanation: to find the average time, we add both numbers then divide by how many numbers we have, which is two. So 7.5 + 6.9 = 14.4. we then divide by 2, so 14.4/2.

answer if you have the ability to​

Answers

Answer:

A is the answer.

I need help on this one please

Answers

Answer:

here is what i think

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Answers

Answer:

84%

Step-by-step explanation:

The Empirical rule formula states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 8.06

Standard deviation = 1.52

Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Using the first rule if Empirical formula

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

μ + σ

= 8.06 + 1.52 = 9.58

This satisfies one side of the distribution, hence:

100 - 68%

= 32%

P(x >9.58) = 32%/2 = 16%

Hence,the percentage of American women have shoe sizes that are less than 9.58 is

P(x < 9.58) = 100 - 16%

= 84 %

The difference between five halves of a number and 17 is 48

Answers

Answer:

let the number be X

it's five Half's = 5/2×x

by the condition

5/2x-17 =48

X = 48×-85/2

X = 24 × -85

If the difference between five halves of a number and 17 is 48 then the number is 26.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The difference between five halves of a number and 17 is 48.

Assuming the number to be 'n'.

(5/2)x - 17 = 48.

5x - 34 = 96.

5x = 130.

x = 26.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ5

Someone please help I’ve been spamming on this and no one has helped yet so please

Answers

Answer:

The value of x would 12.2.

Step-by-step explanation:

You have to use the pythagorean theorem to solve this.

a = 5.85 (11.7/2)

b = what we are trying to find

c = 13.5

[tex]\sqrt{13.5^{2} - 5.85^{2} }[/tex] = 12.1666 which rounds to 12.2

I hope this helps, I apologize if it isn't right.

whats is the only solution of 2x2+8x2-16?​

Answers

Answer:

4

Step-by-step explanation:

please help and I will mark big brain ​

Answers

Answer: 6

Step-by-step explanation:

(41--1)/ (8-1)  = 42/7 = 6

Answer:

6

Step-by-step explanation:

I learned this before

3(x − 2) = 12 nvwdksbvjkdsbvjkds jksncjv

Answers

X=6, solved for x. Cxxxxxx

Please help due in 5 min

Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?

A. 24%
B. 30%
C. 44%
D. 60%

PLEASE show work

Answers

Answer:

B. 30 Percent

15+9=24

24/80=30 Percent

Step-by-step explanation:

true or false , the best way to represent all the solutions to a linear inequality is to graph a single line through the x intercept and y intercept where neither side of the line is shaded

Answers

The answer is false

7.15 divided by 65 what is the answer? I need help to solve this problem

Answers

Answer:

7.15/65 = 0.11

The answer is 0.11 hope this helps

as a membership fee, a health club charges a one time amount of $40 and charges $25 each month. the total fee after m months is $240 what is the value of m

Answers

Answer:

The value of M is M I just kidding but the value of M is 4 Months because if you add 40 and 25 each time then eventually you would get 240$. Hope this helps please give brainlist. Please

Answer:

m= 4 months

Step-by-step explanation:

divide and subtract them numbers

Michael bought 4 types of fruit to make a fruit salad. He paid $3.00 per pound of apples, $2.00 per pound for bananas, $2.50 per pound for grapes, and $3.50 per pound for blackberries.
He bought the same number of pounds of each fruit. Let the number of pounds be represented by the variable x.
Michael figured out the total amount of money that he spent on fruit can be shown using the expression 3x+2x+2.50x+3.50x
Which expression shows how Michael’s expression can be written in an equivalent single term?
A. (2+2.50)(3+3.50)x
B. (2+3+2.50+3.50)x
C. (2) (3) (2.50) (3.50)x
D. (2) (3)x+(2.50) (3.50)x

Answers

Answer:

C

Step-by-step explanation:

you can add like terms so C is the correct answer

Answer:

hi how are you doing today Jasmine

X=-2.

f(x) = 2x-2+5

Answers

Step-by-step explanation:

from,

f (x) = 2x-2+5

BUT x=-2

f (x) = 2 (-2)-2+5

= -4-2+5

= -6+5

= -1

so,

f (x) = -1

Which of the following statement(s) is/are true about rectangles? i. The diagonals are congruent. ii. All sides are congruent. iii. Both pairs of opposite sides are parallel. iv. The diagonals are perpendicular bisectors of each other.

Answers

Answer:

i. The diagonals are congruent.

iii. Both pairs of opposite sides are parallel.

iv. The diagonals are perpendicular bisectors of each other.

Step-by-step explanation:

Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)

The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.

Note: A rectangle, therefore, has all the properties of a parallelogram:

Parallel opposite sides

Same length for opposite sides

The intersection of diagonals in the middle

A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.

A rectangle has a center of symmetry, which is the point of intersection of its diagonals.

Answer:

The diagonals are congruent.

Both pairs of opposite sides are parallel.

The diagonals are perpendicular bisectors of each other.

F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please

Answers

Answer: -22

Step-by-step explanation:

first let's plug in -10 to the f(x) function.

F(-10) = 3(-10) + 10 = -30 +10 = -20

Now we plug in -20 into the g(x) function

g(-20) = -20 -2 = -22

Answer:

If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2

UwU

Among all pairs of numbers whose sum is 12 , find a pair whose product is as large as possible. What is the maximum product? Show steps.

Answers

Answer:

We can only take positive number , Because negative is always smaller than positive.

We can take ,

6 + 6 = 12 .

6 x 6 = 36.

Where both are largest numbers possible.

Thus, the answer is 36.

The required pair of values which gives a sum of 12 and the largest product is 12

For a pair of numbers that sums of to 12 to ba as large as possible, then only positive integers would be considers.

11 and 1 = (11 × 1) = 11

10 and 2 = (10 × 2) 20

9 and 3 = (9 × 3) = 27

8 and 4 = (8 × 4) = 32

7 and 5 = (7 × 5) = 35

6 and 6 = (6 × 6) = 36

From the list, the highest product obtained is a value of 36. Hence, the number are 6 and 6.

Learn more : https://brainly.com/question/10905928

Brainliest Answer
(has to be right for brainliest)

Answers

Answer:

it is 0.7x0.4=0.28

Step-by-step explanation:

Answer:

3627514

Step-by-step explanation:

One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, \small x, and the amount of donations in dollars, \small y, that the organization collected each week for 10 weeks. The data in the scatter plot suggest a linear association. A line to model the data is given by \small y=12x+41.

Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.

Answers

Answer:

The more hours she worked the more donations she would receive.

Step-by-step explanation:

In the chart the higher the number of how many hours she worked resulted in a higher amount of donations

The association between the variables is strong and positive.

The equation of a straight line is given by y = mx + c.  can easily make use of a regression line to ascertain the nature of the relationship between two variables as we can see in the graph shown in the question.

From the graph shown in the question, it is easy to ascertain that the association between the variables is strong and positive. The association is strong because the points lie together and positive because the plot increases linearly.

Learn more about association of variable: https://brainly.com/question/2426761

Which phrase does not describe a rational number?

Select one:

repeating decimal

integer number

terminating decimal

О

non-repeating, non-terminating decimal

Answers

Answer: D) non-repeating, non-terminating decimal

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

Explanation:

Any rational number is of the form p/q, where p and q are integers and q is nonzero. So basically it's any fraction you can think of.

If a decimal terminates (ie stops) then it is a rational number.

For instance, 0.9 = 9/10 is rational

If a decimal repeats in some way, then it is rational

Eg: 0.0833333.... = 1/12

The dots after the 3 indicate the 3's go on forever.

So far, the facts mentioned allow us to rule out choices A and C. Choice B can be ruled out as well because any integer is always rational. We can easily prove it as such by writing the integer x as x/1.

A more concrete example could be writing the integer 7 as 7/1. So this shows 7 is rational and any integer is rational. Simply stick the integer over 1.

The only thing left at this point is choice D. Any non-repeating non-terminating decimal will be irrational. An example would be pi = 3.14159... which goes on forever without a pattern that repeats. Effectively the decimal digits of pi are more or less random. An irrational number is one that is not rational, and therefore cannot be written as a ratio of two integers.

A fencewill go around a circular Garden. The radius of the garden is 29 feet what length of fence is needed

Answers

Answer: 58π = 182. 21 feet

Step-by-step explanation:

Circumfrence is kinda like the perimeter of the circle and we need to use the cirucumfrence formula 2πr to solve for the length of fence needed.

2π(29) = 58π = 182. 21 feet

Please help me find the line of the line showed

Answers

Answer:

[tex]m=\frac{1}{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, -4)

Point (1, -3)

Step 2: Find slope m

Substitute:                   [tex]m=\frac{-3+4}{1+5}[/tex]Add:                             [tex]m=\frac{1}{6}[/tex]

which option gives you more snack when spending the same amount of money?
Doritos 4.39 for 11.5 oz
or
cheetos 9.75 for 3.24

Answers

Answer:

Spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.

Step-by-step explanation:

Given that the Doritos package costs $ 4.39 and contains 11.5 ounces of product, the price of each ounce of said snack comes from the following calculation:

4.39 / 11.5 = X

0.38 = X

Therefore, each ounce of Doritos costs $ 0.38.

In turn, the Cheetos package costs $ 3.24 and contains 9.75 ounces of snacks, so its price per ounce is obtained through the following calculation:

3.24 / 9.75 = X

0.33 = X

Thus, each ounce of Cheetos costs $ 0.33.

Therefore, spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.

what value for n makes the following sentence true ?

2( n+3 )=5

ILL MARK BRAIIST !!!

Answers

Answer:

-0.5

Step-by-step explanation:

Answer:

n= -0.5

Step-by-step explanation:

2(n+3)=5

2n+6=5

2n=-1

n=-1/2= -0.5

Solve for the values of x and y

Answers

                       SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side x=26 units

Step-by-step explanation:

The Pythagorean theorem states

[tex]\:a^2\:+\:b^2\:=\:x^2[/tex]

We will use the Pythagorean Theorem to solve for the missing side length.

[tex]24^2\:+\:10^2\:=\:x^2[/tex]

switch both sides

[tex]x^2=24^2+10^2[/tex]

[tex]x^2=576+100[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{676},\:x=-\sqrt{676}[/tex]

[tex]x=26,\:x=-26[/tex]

As x can not be negative.

Therefore, the value of the missing length of the side x=26 units

                          SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side y=15 units

Step-by-step explanation:

Considering the right-sided right triangle

The Pythagorean theorem states

[tex]a^2\:+\:b^2\:=\:c2[/tex]

We will use the Pythagorean Theorem to solve for the missing side length.

[tex]15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2[/tex]

[tex]225+y^2=450[/tex]    ∵ [tex]\left(15\sqrt{2}\right)^2=450[/tex]

[tex]y^2=225[/tex]

[tex]y=\sqrt{225},\:y=-\sqrt{225}[/tex]

[tex]y=15,\:y=-15[/tex]

As y can not be negative.

Therefore, the value of the missing length of the side y=15 units

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