A card is randomly selected from a deck of 52 cards. Find the probability that the card is between four and eight (inclusive) or is a club.

Answers

Answer 1

Answer:

20/52+13/52-5/52=.538

Step-by-step explanation:

Answer 2

The probability that the card is between four and eight (inclusive) or is a club is 4/13.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The number of cards can be written as,

The number of cards between 4 and 8 is 3 {4,5,6,7,8}.Number of club cards = 13Number of cards between 4 and 8 from heart, spades, and diamonds = 15

Now, the probability that the card is between four and eight (inclusive) or is a club is,

Probability

= (Number of club cards+ Number of cards between 4 and 8)/(Total number of cards)

= (13+15)/(52)

= 28/52

= 4/13

Hence, the probability that the card is between four and eight (inclusive) or is a club is 4/13.

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Related Questions

In how many ways can you arrange 3 out of 5 books (a, b, c, d, and
e.on a shelf, if the order of each arrangement matters (so abc is different from cba)?

Answers

There are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering. So option (c) is correct.

To calculate the number of ways to arrange 3 out of 5 books with order mattering, we'll use the permutation formula [tex]\( P(n, k) = \frac{{n!}}{{(n-k)!}} \)[/tex], where ( n ) is the total number of items and ( k ) is the number of items to arrange.

In this case, we have ( n = 5 ) books and we want to arrange ( k = 3 ) of

them. So, [tex]\( P(5, 3) = \frac{{5!}}{{(5-3)!}} \)[/tex].

Let's break down the calculation step by step:

Calculate ( 5! ):

[tex]\( 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \).[/tex]

Calculate [tex]\( (5-3)! = 2! \)[/tex]:

[tex]\( (5-3)! = 2! = 2 \times 1 = 2 \).[/tex]

Divide [tex]\( 5! \) by \( (5-3)! \)[/tex]:

[tex]\( \frac{{5!}}{{(5-3)!}} = \frac{{120}}{{2}} = 60 \).[/tex]

So, there are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering.

The correct answer is: c. 60

Complete Question:

In how many ways can you arrange 3 out of 5 books (A, B, C, D, and E) on a shelf, if the order of each arrangement matters (so ABC is different from CBA)?

a. 5

b. 120

c. 60

d. 10

Suzanne bought 50 apples at the apple orchard she bought four times as many red apples has green apples how many more red apples and green apples that Suzanne buy

Answers

200 because 50•4 is 200
she had 10 more red apples
 

Gwen has a £5 note and a £2 coin
A liter of cola costs £1.25
Gwen buys as many liter bottles as she can
How much money will she have left over

Answers

5+2=7
7/1.25=5.6
1.25*5=6.25
7-6.25=.75

$0.75 is your answer.

She will have £0.75 left over after the purchases.

First, we calculate the total amount of money Gwen has:

£5 (note) + £2 (coin) = £7

Next, we determine how many liter bottles of cola Gwen can buy:

Each bottle costs £1.25

Number of bottles she can buy = £7 ÷ £1.25

                                                    = 5 bottles

Now, we compute the total cost of 5 bottles:

5 bottles × £1.25/bottle

= £6.25

Finally, we find out how much money Gwen will have left over:

Total money - Total cost = £7 - £6.25

                                       = £0.75

Gwen will have £0.75 left over after buying as many liter bottles of cola as she can.

Find the measure of angle y. Round your answer to the nearest hundreth.

Answers

check the picture below.

A person who is 5.8 feet tall is standing in a pool. the top of the person's head is 1.6 feet above the surface of the water. how deep is the pool? write your answer as a decimal.

Answers

Let h = the depth of the pool (ft)

h feet of the person will be in the pool, and 1.6 feet of the person is above the water. Because the person is 5.8 feet tall, therefore
h + 1.6 = 5.8
h = 5.8 - 1.6 = 4.2 feet

Answer: 4.2 feet

Answer:

The answer is 4.2 feet

Step-by-step explanation:

if R and S are two points in a plane, the perpendicular bisector of line RS is the set of all points equidistant from R and S. True or false?

Answers

The answer to this question should be True. The perpendicular bisector, by definition, is the midpoint between two points that forms a right angle with them. It must be equidistant from R and S in order to be a perpendicular bisector. 

Answer: True

Step-by-step explanation:

"given a population in which the probability of success is p = 0.20, if a sample of 500 items is taken, then calculate the probability the proportion of successes in the sample will be between 0.18 and 0.23 if the sample size is 200."

Answers

Final answer:

To find the probability that the proportion of successes in a sample is between 0.18 and 0.23, we approximate the binomial distribution with a normal distribution and calculate the z-scores for the specified values using the distribution N(0.2, sqrt((0.2)(0.8)/200)).

Explanation:

To calculate the probability of the proportion of successes being between 0.18 and 0.23 for a population with a success probability of p = 0.20 and a sample size of n = 200, we use the sampling distribution of the sample proportion.

Firstly, to ensure the use of the normal approximation, we check the conditions: np = 40 and nq = 160, both greater than 5, allowing us to approximate the binomial distribution with a normal distribution where μ = p and σ = sqrt(pq/n).

For n = 200 and p = 0.20, the sampling distribution of the sample proportion p' is approximately N(0.2, sqrt((0.2)(0.8)/200)). Using this distribution, we can calculate the z-scores for 0.18 and 0.23 and then use standard normal distribution tables or software to find the probability that p' falls between these two values.

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Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. are the given families of curves orthogonal trajectories of each other? that is, is every curve in one family orthogonal to every curve in the other family? x2 + y2 = ax x2 + y2 = by

Answers

Hello,

[tex]P(x,y)=x^2+y^2-ax=0\\\\ \dfrac{\partial{P}}{\partial{x}}=2x-a\\\\ \dfrac{\partial{P}}{\partial{y}}=2y\\\\ Q(x,y)=x^2+y^2-by=0\\\\ \dfrac{\partial{Q}}{\partial{x}}=2x\\\\ \dfrac{\partial{Q}}{\partial{y}}=2y-b\\\\ \dfrac{\partial{P}}{\partial{x}}*\dfrac{\partial{Q}}{\partial{x}}+\dfrac{\partial{P}}{\partial{y}}*\dfrac{\partial{Q}}{\partial{y}}=(2x-a)*2x+2y(2y-b)\\ =4x^2+4y^2-2ax-2by\\ =2(2x^2+2y^2-ax-by)\\ =2*P(x,y)+Q(x,y))\\ =2*(0+0)=0\\\\ Answer YES [/tex]

Yes, the given curves are orthogonal. A further explanation is below.

Given equation is:

[tex]x^2+y^2=ax[/tex]

By differentiating both sides, we get

→ [tex]2x+2yy'=a[/tex]

→             [tex]y'=\frac{a-2x}{2y} = m_1[/tex]

again,

[tex]x^2+y^2=by[/tex]

By differentiating both sides, we get

→ [tex]2x+2yy' =by'[/tex]

→             [tex]y' = \frac{-2x}{2y-b}[/tex]

For both curves are orthogonal, we get

→ [tex]m_1 \ m_2 = -1[/tex]

By substituting the values, we get

→ [tex]\frac{(a-2x)}{2y} \ \frac{(-2x)}{2y-b} = -1[/tex]

→ [tex]-2ax +4x^2=-4y^2+2yb[/tex]

→   [tex]4(x^2+y^2)=2ax+2yb[/tex]

Since,

[tex]ax=x^2+y^2[/tex][tex]by=x^2+y^2[/tex]

then,

→ [tex]4(x^2+y^2) =2(x^2+y^2)+2(x^2+y^2)[/tex]

→  [tex]4x^2+4y^2=4x^2+4y^2[/tex] (true)

Thus the above response is appropriate.

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distributive property of the product of 127 and 32

Answers

127(32) could be re-written as (130-3)(30+2).  To evaluate this, we'd use the distributive property of multiplication:  130(30) + 130(2) - 3(30) -3(2).

That comes out to 3900 + 260 - 90 - 6.  Combine the positive terms.  Then combine the negative terms.  Last, combine the single positive term with the single negative one:  4160 - 96 = ?

What is the average rate of change of f(x), represented by the graph, over the interval [0,2]?

A: 2
B: 1
C: 0.5
D: -0.5

Answers

A: 2 if u don't know then the first option .

the area of a square is 225 square inches. find the length of a side of the square.

Answers

The area of a square is equal to length^2 because all lengths of a square are equal.
Let x represent the length.
x^2 = 225
You would have to square root both sides.
x = 15
The length is 15 inches.

Catherine walks her dog 3/4 mile everyday how far does she walk each week

Answers

Catherine walks her dog 5.25 miles because there are 7 days in one week and 3/4 x 7 = 5.25
First, you multiply 3/4 by 7.

3/4 x 7 = 21/28

Catherine alks her dog 21/28 in a week.

I hope this helped!

Jesse and three friends buy snacks for a hike. They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay?

Answers

$2.84
Add $5.42, $2.55, and $3.39 together then divide by 4 (how many people in total there are) and you will get $2.84

Answer:

$2.84 is your answer

Four students are playing the same video game. Their scores for the first three level are added together to see if the student has enough points to move on to round 2

Answers

Final answer:

This question is a high school-level mathematics problem involving statistics and data interpretation related to video game scores and soccer game performance.

Explanation:

The question involves analyzing and interpreting different sets of data related to video game scores, hours played, and goals scored in soccer games. This requires an understanding of statistics and mathematical data interpretation techniques. Problems similar to these are often encountered in high school mathematics classes, especially those focusing on statistics and probability.

For example, when dealing with video game scores, a student may need to sumup  numbers, compare totals, or calculate averages. In the case of the hours of video games played, one may need to aggregate data and analyze distributions. With soccer goals per game, the student might have to compute means and assess performance across different groups. Furthermore, the mention of a 'communist model' of grading ties into mathematical concepts of averaging and distribution of data.

These types of problems help students appreciate the practical applications of mathematics in understanding and interpreting real-world scenarios such as video game scoring systems and sports team performance analysis.

You toss a coin a randomly selecte a number from 0 to 9. What is the probability of getting tails and selecting a 9?
A.0.05
B.0.95
C.0.25
D.0

Answers

First lets find the probability of landing tails. Because there is 1 way to get tails and 2 possible outcomes, the probability is 1/2.

Now, lets find the probability of selecting a 9. Since this includes 0, there are 10 possible outcomes and 1 way to get a 9, so the probability is 1/10.

To find them combined, multiply:

1/2 * 1/10
1/20
0.05

Hope this helps!


A student got 34 pencils for school. If she sharpen 16 of the pencils before school what is her ratio of unsharpened pencils to sharpened pencils

Answers

34-16 = 18

 so 18 are unsharpened

ratio is 18/16 reduced to 9/8

34 total pencils......16 were sharpened...that means (34 - 16 ) = 18 pencils that were not sharpened.

so the ratio of unsharpened pencils to sharpened pencils is :
18:16 which reduces to 9:8 or 9/8 or 9 to 8 <==

Josh rented a truck for one day. There was a base fee of$14.99,and there was an additional charge of81cent for each mile driven. Josh had to pay$117.05 when he returned the truck. For how many miles did he drive the truck

Answers

  $117.05
- $  14.99
-------------
  $102.46 left

Divide 102.46 by 0.81, and you get 126, which makes it 126 miles.

Hope this helps!

Sent a picture of the solution to the problem (s).

The circumference of circle p is 800 mm, the circumference of circle q is 200 cm, and the circumference of circle r is 4 m. What is the sum of the distance around each circle

Answers

Let us use the following conversions:

1 cm = 10 mm

1 meter = 100 cm = 1000 mm

Given:

p = 800 mm

q = 200 cm = 2000 mm

r= 4 m = 4000

X = sum of the distance around each circle

X = p+q+r

X = 800+2000+4000

X = 6800 mm or 680 cm or 6.80 m

52 companies; 25% increase

Answers

52*1.25=65

it increased to 65 companies.

I think thats wat u meant... if not then sry

Darcy plants some flowers in her back yard. She plants 5 zinnias and 7 verbenas in each of her 3 flower beds. What is the total number of flowers she planted?

Answers

36 flowers planted total

Total # of flowers = 3(5 zinnias + 7 verbenas) = 3(5 flowers + 7 flowers) = 36 flowers.

A Midwestern competition awarded 38 ribbons. The number of blue ribbons was 1 less than the number of white ribbons. The number of red ribbons was 3 more than the number of white ribbons. How many of each kind of ribbons was awrded?

Answers

There are 12 white ribbons, 15 red ribbons, and 11 blue ribbons.

38=(w-1)+(w+3)+w
combine like terms
38=2+3w
subtract 2 from both sides
36=3w
divide 3 on both sides
12=w

w-1=b
12-1=b
11=b

w+3=r
12+3=r
15=r

Check Your Work
w+r+b=38
15+11+12=38
38=38

What is the image of E for a dilation with center (0, 0) and a scale factor of 6?

(30, 6)

(-30, 6)

(30, -1)

(-30, 1)


Answers

(-30,6) im pretty sure

Answer:

-30, 6

Step-by-step explanation:

6x-5= =30

1x6=6

Why do computer manufacturers typically make their new processors backward compatible with earlier processors?

Answers

Backward compatible typically means that the new invention would be compatible with previous inventions. So in this case, the new processor is compatible with the older processors. This is intended so that programs made for older processors can be used on the new one without the need for further modification. 

a patient is to take 4 1/4 tablespoons of medicine per day in 5 equally divided doses. how much medicine is to be taken in each dose?

Answers

Okay. So we have to do division, because you're dividing 4 1/4 (17/4) tablespoons of medicine by 5 doses. The formula for multiplying fractions is keep, change, flip. 17/4 * 1/5 is 17/20. 17/20 tablespoon of medicine is supposed to be taken in each dose.

Follow below steps:

A patient is to take 4 1/4 tablespoons of medicine per day in 5 equally divided doses. How much medicine is to be taken in each dose?

Convert 4 1/4 tablespoons to a proper fraction, which is 17/4 tablespoons.

Divide 17/4 by 5 to find out how much medicine is to be taken in each dose. This equals 17/4 ÷ 5 = 17/4 × 1/5 = 17/20 tablespoons.

What are the steps for using a compass and straightedge to construct a square ?

Answers

STEPS:
1. Using your straightedge, draw a reference line, if one is not provided.
2. Copy the side of the square onto the reference line, starting at a point labeled A'. 
3. Construct a perpendicular at point B' to the line through .
4. Place your compass point at B', and copy the side of the square onto the perpendicular . Label the end of the segment copy as point C.
5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left. 
6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.
7. Connect points A' to D, D to C, and C to B' to form a square.
Hope this Helps

need this solved (3x+2y)(5x-6y)

Answers

15x^2-12y^2

A variable times itself gets you a square.
then just multiply the numbers.

what is the value of the 9 in 0.792

Answers

it's in the tens place
the nine is in the hundredths place which means the nine's value is nine hundredths

Which is the same as dividing a number by 1,000?

Answers

Answer:

yoou move the decimal place 3 times to the left

Step-by-step explanation:


Answer:

Move 3 times to the left

Step-by-step explanation:

Melanie connected a brown garden hose, a green garden hose, and a black garden hose to make one long hose. The brown hose is 10.75 feet long, the green hose is 16.4 feet long, and the black hose is 8.5 feet long. What is the farthest distance the one long hose can reach?

Answers

To solve the question you would need to add 10.75, 16.4, and 8.5 to find the answer, which is 35.65. 

Hope this helps!

Answer:

35.65 feet.

Step-by-step explanation:

We have been given that the brown hose is 10.75 feet long, the green hose is 16.4 feet long, and the black hose is 8.5 feet long. We are asked to find the distance that one long hose can reach.

The length of one long hose will be equal to sum of distances of each hose.

[tex]\text{The length of one long hose}=10.75\text{ ft}+16.4\text{ ft}+8.5\text{ ft}[/tex]

[tex]\text{The length of one long hose}=35.65\text{ ft}[/tex]

Therefore, the one long hose can reach 35.65 feet.

Value of the expression

Answers

[tex]\bf \cfrac{1}{4}\div \cfrac{4}{10}~~+~~\cfrac{5}{7}\div \cfrac{5}{7}\implies \cfrac{1}{4}\cdot \cfrac{10}{4}~~+~~\cfrac{5}{7}\cdot \cfrac{7}{5}\implies \cfrac{1\cdot 10}{4\cdot 4}+\cfrac{5\cdot 7}{7\cdot 5} \\\\\\ \cfrac{10}{16}+\cfrac{35}{35}\implies \cfrac{10}{16}+1\implies \cfrac{(1\cdot 10)~+~16}{16}\implies \cfrac{26}{16}\implies \cfrac{13}{8}\implies 1\frac{5}{8}[/tex]
1/4 ÷ 4/10 + 5/7 ÷ 5/7

Note: 5/7 ÷ 5/7 = 1

This brings us to

1/4 ÷ 4/10 + 1

1/4 * 10/4 + 1

10/16 + 1

5/8 + 1

Answer: 13/8
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