Please help!

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking an even number and then picking an even number?

Simplify your answer and write it as a fraction or whole number.

Please Help!You Pick A Card At Random. Without Putting The First Card Back, You Pick A Second Card At

Answers

Answer 1

Answer:

Probability of picking an even and then even number = [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Probability of picking a card with even number,

P(even 1) = [tex]\frac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex] = [tex]\frac{\text{even cards}}{\text{Total number of cards}}[/tex]

               = [tex]\frac{2}{4}[/tex]

               = [tex]\frac{1}{2}[/tex]

Followed by picking a card which is even without putting the first card back.

So an even card is to be picked out of remaining 3 cards.

P(even 2) = [tex]\frac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]

                = [tex]\frac{1}{3}[/tex]

Now probability of both events = P(even 1) × P(even 2)

= [tex]\frac{1}{2}\times \frac{1}{3}[/tex]

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

Therefore, probability of both the events will be [tex]\frac{1}{6}[/tex].


Related Questions

A circular table top has a radius of 3 feet. Enter the area in square feet or the table top. Round your answer

Answers

Answer:

28.26 square feet

Step-by-step explanation:

A=πr²

A=(3.14)(3)²=28.26 square feet

Can some one help me plz with step by step
x^2 + x - 42

Answers

Answer:

x = 6 or x = -7

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + x - 42 = 0

The left hand side factors into a product with two terms:

(x - 6) (x + 7) = 0

Split into two equations:

x - 6 = 0 or x + 7 = 0

Add 6 to both sides:

x = 6 or x + 7 = 0

Subtract 7 from both sides:

Answer: x = 6 or x = -7

What is 3x10^7 x 8x10^4 in standard form

Answers

Answer:

They are already in standard form.

Step-by-step explanation:

Shantanu bought more apples than bananas, and he bought more bananas than cantaloupes. Let a represent the number of apples Shantanu bought, let b represent the number of bananas, and let c represent the number of cantaloupes. Let's compare the expressions b+c and a. Which statement is correct?

Answers

Answer:

There is not enough information to tell

Step-by-step explanation:

We are given that:

a>b

b>c

Therefore:

a>c

However, we are not given enough information to draw a relationship between b+c and a.

In order to better understand this situation, try applying values. Let a=4, b=2, and c=1.

In this case, a > b+c. However if a = 9, b=8 and c=7, then a < b+c.

In both stipulated cases, the given conditions are met, but no conclusion can be reached regarding the relationship between b+c and a.

What is the length of side AB

Answers

Answer:

5 units

Step-by-step explanation:

Using the distance formula:

[tex]AB=\sqrt{(-3-(-8))^2+(-6-(-6))^2}=\sqrt{5^2}=5[/tex]

Hope this helps!

What the missing value X^2-20x+—

Answers

Answer:

it is -1x2

Step-by-step explanation:

by the ex variable u will get it

Which Postulate/Theorem below would prove that the triangles shown below are congruent?
a. SSS
b. SAS
c. AAS
d. ASA

Answers

Answer:

Correct answer is D. ASA

Step-by-step explanation:

Let us first define ASA congruence rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are equal to each other.

In the question figure, we can figure out following conclusions from Triangles [tex]\triangle SRT\text{ and }\triangle WXY[/tex] respectively:

[tex]\angle TRS = \angle YXW[/tex]Side RS = Side WX[tex]\angle TSR = \angle YWX[/tex]  

As per the definition of option d) ASA congruence, the triangles are congruent.

Answer:

D. ASA

Step-by-step explanation:

18 = -4x -9 + 3 resolver

Answers

Answer:

The answer is X=-4 hope this helps.

Answer:

Hope it helps! Mark as brainlist.

please help me quickly !!

Answers

Answer:

A ... [tex]\frac{3}{4} (\frac{4}{3})x=-6 (\frac{4}{3})[/tex]

Step-by-step explanation:

Multiplying 4/3 on both sides gets x by itself

A boat travels upstream for 96 miles in 4 hours and returns in 3 hours traveling downstream in a river. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

Speed of boat in still water = 28 miles/hr

Speed of current = 4 miles/hr

Step-by-step explanation:

Speed upstream, u = 96/4 = 24 miles/hr

Speed downstream, v = 96/3 = 32 miles/hr

Speed of boat in still water = ½(v+u)

= ½ (24 + 32) = 28 miles/hr

Speed of the current = ½ ( v - u)

= ½ (32 - 24) = 4 miles/hr

Doroteo determined that the correlation coefficient for a set of data was -.9 what percent of the total variation in the Y values is not explained by the regression line

Answers

Answer: 10%

Step-by-step explanation:

(1 - 0.9) × 100 = 10%

With a correlation Coefficient of -0.9. This signifies a strong negative correlation between the x and y variables. That is an increase in the x variable leads to a corresponding decrease in the y variable and vice versa. The correlation Coefficient could also be interpreted to mean that about 90% of the variation in the y variable is explained by the regression line or equation. With the the remaining 10% being unexplained. This is why a correlation Coefficient of 1 or - 1 refers to a perfect relationship, meaning 100% variation in y is explained by the regression line.

In a study done in Miami's economically disadvantaged community, it was determined that 38 out of 62 children who attended preschool needed social services later in life compared to 49 out 61 children who did not attend preschool. Test the claim that the proportion of children who need social services later in life is greater amongst the children who did not attend preschool compare to the ones who did attend preschool. Use a 0.05 level of significance.

Answers

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the children who attended preschool and need social services later in life and children who did not attend preschool and need social services later in life. The population proportion for the children who attended preschool and children who did not attend preschool would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of proportion of the children who attended preschool and children who did not attend preschool .

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 < p2

p1 - p2 < 0

it is a left tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For children who attended preschool,

x1 = 38

n1 = 62

p1 = 38/62 = 0.61

For children who did not attend preschool,

x2 = 49

n2 = 61

p2 = 49/61 = 0.8

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (38 + 49)/(62 + 61) = 0.71

1 - pc = 1 - 0.71 = 0.29

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.61 - 0.8)/√(0.71)(0.29)(1/62 + 1/61) = - 0.19/0.08183139728

z = - 2.32

Since it is a left tailed test, we would determine the probability for the area below the z score from the normal distribution table. Therefore,

p = 0.01

Since alpha, 0.05 > than the p value, 0.01, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the the proportion of children who need social services later in life is greater amongst the children who did not attend preschool compare to the ones who did attend preschool.

A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What is the volume of the sand in the box?

Answers

Answer:

the volume of sand is [tex]50 ft^{3}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

[tex]Length l= 4 ft Width w= 5ft\\Height h = 3ft[/tex]

if the sandbox is filled with sand of [tex]2\frac{1}{2 } ft[/tex] deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have [tex]2\frac{1}{2} = \frac{5}{2}[/tex]

the expression for the volume of a rectangular prism is

[tex]volume of sand = length * width* height[/tex]

substituting our data into the expression we have

[tex]volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}[/tex]

Determine the intercepts of the line

Answers

Answer:

x-intercept (-7,0)

y-intercept (0,2)

Step-by-step explanation:

Answer:

x-intercept (-7 , 0)

y-intercept (2 , 0)

x intercept is where on the x - aces a point is sitting on on the line

--------------------------     <--- this one is x

y intercept is where on the y- aces a point is sitting on the line

║    <---- this one is y

Which is greater or less then 2/3 Or 1 3/4

Answers

Answer:

2/3 < 1 3/4

Step-by-step explanation:

2/3 is less than 1 3/4

2/3 as a decimal is 0.6666667

1 3/4 as a decimal is 1.75

So, 1.75 is more than 0.6666667

The answer will be 2/3 < 1 3/4

What is the best next step in the constructed of a line that passes through point C and is parallel to AB? (Assume that the arc drawn with the compass placed at point A was the result of the last step performed.)

Answers

Answer:

B

Step-by-step explanation:

using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB

B. using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

So, the next step should be using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB.

Therefore the correct option is C.

Learn more:https://brainly.com/question/9018125

A scientist is measuring the temperature change in a decimal compound. The temperature dropped 11 f per hour from the original temperature. After four hours the temperature was 90 f find the compounds original temperature.

Answers

Answer:

[tex] F = mt +b[/tex]

From the info given we know that m =-11 and we have a condition given:

[tex] F =90 , t =4[/tex]

Using this condition we have:

[tex] 90 = -11*4 +b[/tex]

And solving for b we got:

[tex] 90 +4*11 = 90 +44= 134[/tex]

So then the original temperatue for this case is 134 F

Step-by-step explanation:

For this case we know that after four hours the temperature was 90 f and the temperature dropped 11 f per hour.

We can use a linear model to solve the problem given by:

[tex] F = mt +b[/tex]

Where F represent the temperature, t the time in hours and m the slope and b the intercept.

From the info given we know that m =-11 and we have a condition given:

[tex] F =90 , t =4[/tex]

Using this condition we have:

[tex] 90 = -11*4 +b[/tex]

And solving for b we got:

[tex] 90 +4*11 = 90 +44= 134[/tex]

So then the original temperatue for this case is 134 F

Correct answer only please!

Elizabeth deposited $4,530 in a savings account earning 11% interest, compounded annually.

To the nearest cent, how much will she have in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: Elizabeth earned $7270.91.

Step-by-step explanation:

The formula given to us is the formula for compounded interest.

You can substitute the values given in the first part of the problem into the equation to find B, the final amount:

[tex]B = p*(1+r)^t\\\\B = 4530 * (1 + 0.11)^5[/tex]

Note that 11% interest is expressed as 0.11 because it is a percentage of a whole number.

Now, use a calculator to raise 1.11 to the fifth degree to get this:

[tex]B = 4530 * 1.605058\\B = 7270.912[/tex]

As such, Elizabeth earned $7270.91 in interest after 5 years.

how would you solve 4x - 3y = 78 2x + 3y = 48 by elimination

Answers

Answer:

x = 21, y = 2

Step-by-step explanation:

4x- 3y = 78....(1)

2x + 3y = 48 ...(2)

Adding eqiautions (1) and (2)

4x- 3y = 78

2x + 3y = 48

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

6x + 0 = 126....(Here y has been eliminated)

6x = 126

[tex] x= \frac{126}{6}\\\\

\therefore x = 21\\[/tex]

Plugging x = 21 in equation (2) we find:

2 * 21 + 3y = 48

42 + 3y = 48

3y = 48 - 42

3y = 6

[tex] y= \frac{6}{3}\\\\

\therefore y = 2\\[/tex]

please identify each that are central angles!!

Answers

Correct answers are

<BDE

<EDF

Help please!!!!
Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000

Answers

Answer:

B. $175,200

Step-by-step explanation:

Monthly payment

$730

Number of payments

240

Total cost of the loan is:

$730*240 = $175200

Correct answer choice is: B

Answer:

Hello, the total cost of the loan is $175,200 i have the same question on my previous exam and did the work to double check

Divide ( 4x2 - 24x + 35 ) / ( 2x - 5 )

Answers

Answer:

the closest i got is [tex]\frac{43-24x}{2x-5}[/tex]

Step-by-step explanation:

Please help me with this question is hard and i will give you a Brainiest

Answers

Answer:

0

Step-by-step explanation:

10(x-2)=-20

10x-20=-20

10x=0

x=0

Which scenario cannot be modeled by a right triangle?
A 13-foot ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the
wall is 12 feet
Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the
school
The dimensions of a triangular-shaped garden are 28 yards, 53 yards, and 45 yards.
A Babylonian writing mentioned a triangle with side lengths 120, 169, and 119.

Answers

Answer:

B

Step-by-step explanation:

B. Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.

got it right on edge

Quadrilateral EFGH is inscribed in a circle. If m∠F = 114° and m∠G = 78° then which of the following is the measure of ∠H?

Answers

Answer:

m∠H=66°

Step-by-step explanation:

Since Quadrilateral EFGH is inscribed in a circle, it is a Cyclic quadrilateral.

Theorem: Opposite Angles of a Cyclic Quadrilateral are Supplementary.

Angles F and H are opposite angles of a cyclic quadrilateral and by the theorem above:

m∠F+m∠H=180 degrees

114° +m∠H=180°

m∠H=180° -  114°

m∠H=66°

Please help!
You flip a coin twice.

What is the probability of getting tails and then getting heads?

Write your answer as a percentage.


___%

Answers

Your answer would be 25%.

Assuming the coin is not biased, the probability of flipping a heads or tails is 1/2 equally. This remains the same no matter how many times you flip the coin, because the outcome of one flip does not affect the outcome of another.

This means that the probability of getting a tails the first flip is 1/2, and the probability of then getting a heads is also 1/2, so to find the probability of both happening you need to multiply these probabilities together, and 1/2 × 1/2 = 1/4, and 1/4 as a percentage is 25%.

I hope this helps! Let me know if you have any questions :)

Find the sum of the geometric series 3+12+48+...+12,288

Answers

Answer:

I think that you need to add obvoiusly.

12351 Thats what I got. But Im not sure if its correct. I hope his helps

Step-by-step explanation:

Answer:

16383

Step-by-step explanation:

12288+3072+767+192+48+12+3 =

The principal uses a computer to randomly select the name of a student from all the students in

the school. With the computer program, it is possible to draw the name of the same student

twice. If the principal selects the name of a student from the Voyagers on the first try, what is

the probability she will draw the name of another student from the Voyagers on the second try?

answer choices

81/399

41/200

1/82

21/100

Answers

Complete Question

Stillwater Junior High divides students into teams taught by a group of teachers. The table shows the number of students in each team.

Team{Number of Students}

Acers{78}

Blazers{80}

Outbacks{83}

Quasars{77}

Voyagers{82}

Total-400

Answer:

(A)81/399

Step-by-step explanation:

The probability that the Principal selects a voyager on the first try is:

82/400

Since another student is to be selected, the total population has reduced by 1 and the number of voyagers likewise has been reduced by 1.

Therefore:

Probability that another voyager is selected on the second try =

81/399

The correct option is A.

Answer:

41/200 B

Step-by-step explanation:

The student never gets taken away from the count so.

first pull probability is.. 82/400 second is... 82/400 simplify by dividing by 2. Equals 41/200

ZA=
Round your answer to the nearest hundredth.
B
9
?
С
3
A

Answers

Answer:

∠A ≈ 71.57

Step-by-step explanation:

You use inverse tangent since it gives you the opposite and adjacent sides: [tex]tan^-1[/tex]

[tex]tan^-1(9/3)[/tex]

≈ 71.565

Round to nearest hundredth:

≈ 71.57

Help with this question asap!!

Answers

Answer:

1st option.

[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]

Step-by-step explanation:

The given sequence is as follows:

[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]

Here, we can see that the denominator is in AP and the sequence is:

1, 3, 7, 9, 11

first term, a  = 1

Common difference, d = 2

We know that nth term for an AP:

[tex]a_n = a+(n-1)d[/tex]

where a is the first term and

d is the common difference.

So, nth term for above AP:

[tex]a_n = 1+(n-1)\times 2\\\Rightarrow 2n-1[/tex]

Here, we have 'k' in place of 'n':

[tex]a_k = 2k-1[/tex]

And as per the given sequence in the question, the kth term is simply the reciprocal:

i.e. [tex]\dfrac{1}{2k-1}[/tex]

and sum is to be done up to k = 6 from k = 1.

Hence, the summation notation for the sequence

[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]

is:

[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]

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