7. No Broken Hearts [2.5 Points]Robert has a standard deck of 52 playing cards. Robert shuffles the deck, draws a card, andchecks if the card has a suit of hearts. If the card has a suit of hearts he stops. Otherwise,he replaces the card back into the deck and continues to repeat this process until he drawsa card that has a suit of hearts.a) What is the probability that Robert performs exactly 5 draws

Answers

Answer 1

Answer:

0.079

Step-by-step explanation:

Number of suit of hearts = 13

Total number of cards in deck = 52

P(drawing a suit of heart) = number of suit of heart / total number of cards in deck

P(drawing a suit of heart) = 13 /52 = 1 /4

Hence, Probability of success, p = 1/4

P(not drawing a suit of heart) = 1 - 1/4 = 3/4

Hence, Probability of performing exactly 5 draws :

To perform exactly 5 draws :

1st draw = not a heart suit

2nd draw = not a heart suit

3rd draw = not a heart suit

4th draw = not a heart suit

5 draw = a heart suit

P(performing exactly 5 draws) =

(3/4 * 3/4 * 3/4 * 3/4 * 1/4)

= 0.0791015625

= 0.079


Related Questions

Which of the following numbers is a perfect square?

1 489
2 485
3 490
4 484

Answers

Answer:

3490 is the perfect square

Answer:

490 is the correct answer

Step-by-step explanation:

ollities
Assignment
Active
Calculating a Z-Score from a Percentile
The prices of paperbacks sold at a used bookstore are Complete the sentences.
approximately Normally distributed, with a mean of $7.85 To find the Z-score for the 56th percentile means that
and a standard deviation of $1.25.
the area above the z-score will be
and the
Use the z-table to answer the question.
area below the Z-score will be
The Z-score for the 56th percentile is
V

Answers

Answer:

Complete the sentences.

To find the z-score for the 56th percentile means that

the area above the z-score will be ✔ 0.44 and the

area below the z-score will be ✔ 0.56.

The z-score for the 56th percentile is ✔ 0.15

*you typed the question weird, but I hope this helps*

Answer:

To find the z-score for the 56th percentile means that the area above the z-score will be

✔ 0.44

and the area below the z-score will be

✔ 0.56

.

The z-score for the 56th percentile is

✔ 0.15

.

Step-by-step explanation:

edge 2023

Richard answered 20 out of 25 questions on a test. what percentage of the test questions has Richard answered?

Answers

Answer:

80%

Step-by-step explanation:

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

percent = 20/25 * 100% = 80%

Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF),
y x1 x2
30.3 6.0 32.0
25.2 12 40
30.5 8 49
On the basis of the sample results, the regression equation is:
yˆ y⁢^⁢  = 57.25 − 1.07x1 − 0.64x2

Answers

According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.

The regression equation provided is:

ŷ = 57.25 - 1.07x1 - 0.64x2

Where:

ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)

x1 represents the Thickness of Insulation (inches)

x2 represents the Outdoor Temperature (ºF)

Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).

The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.

The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.

The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.

for such more question on regression equation

https://brainly.com/question/22077082

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Which quadratic relation has a y-intercept of 8?
O y = 0.5(x + 2)(x + 4)
O y = 0.5 (x - 2)(+ 8)
O y = 0.5(x2 -2x - 16)
O y = 0.5 (x2 -2x + 16)

Answers

Answer:

y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.

Step-by-step explanation:

The x-coordinate of every y-intercept is zero.  To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.

O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)

O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)

O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)

O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).

Can someone please help me

Answers

Answer:

135ft^3

Step-by-step explanation:

Volume for triangular prism = 1/2bhl

v=1/2*6*5*9= 135

i think the answer would be the 3rd


It takes 7 gardeners 8 hours to plant 1 680 seedlings on a piece of land.
Calculate (in hours and minutes) how long it would take 12 gardeners to

plant the seedlings​

Answers

Answer:

4 hours, 40 minutes

Step-by-step explanation:

1680 ÷ 8 hours = 210 seeds per hour for 7 gardeners

30 seeds per hour per gardener

30 x 12 = 360 seeds per hour for 12 gardeners

4.66 hours to plant. which is 4 hours and 40 minutes

Suppose you can factor x^2 + bx + c as (x + p)(x + q). If c > 0, what could be possible values of p and q?

a. p = 5, q = -8
b. p = -2, q = 6
c. p = -4, q = -7
d. p = -13, q = 1

Answers

p could be 5 and q could be 8 this is just my guess but i think its right

p = - 4, q = -7, or in other words with the given choices above, option C. I hope this helps : ) I was working on this assignment earlier; this was a tough question, but I figured it out. If this is the same assignment I am thinking of, it should be alright. :D

Show your work for this one

Answers

Step-by-step explanation:

multipy the two sides by 2

n+4= -16

move the constant to the right change its sign

n= -16 - 4

calculate the difference

N= - 20

Answer:

[tex]n=-20[/tex]

Step-by-step explanation:

1) Subtract 2 from both sides.

[tex]\frac{n}{2} =-8-2[/tex]

2) Simplify −8−2  to −10.

[tex]\frac{n}{2} =-10[/tex]

3) Multiply both sides by 2.

[tex]n=-10*2[/tex]

4) Simplify 10 * 2 to 20.

[tex]n=-20[/tex]

Therefor, the answer is n = - 20.

How do you get infinitely many solution?

Answers

Answer: I’m

Step-by-step explanation: I’d not knkw

B:
The usual monthly expenses of midas family is 3500.00 for their electric and and with bill, 10,
000 for house and 5,000.00 for their food. The rest of their income will be their savings How much
will be their savings if the couple both earn 10,000.00each​

Answers

Answer:

$1,500

Step-by-step explanation:

Income - Expenses = Savings

     

     Income = 2 × 10,000 = $20,000

     Expenses = 3,500 + 10,000 + 5,000 = $18,500

$20,000 - $18,500 = $1,500 left for Savings

Five friends went to the zoo.
• Tickets cost $8.50 each.
• Each person purchased a drink for $3.50
• Three of the people had a discount coupon for $2.50 off the cost of admission,
• The friends split the total cost equally.
How much did each person spend?
А A
$10.13
B. $10.50
c С
$11.50
D
$12.00

Answers

Answer:

B . 10.50

Why ? Because 8.50+3.50=12 , Then 12 × 5 = 60 , 2.50×3=7.5 , 60-7.5= 52.5 . divide 52.5 by 5 = 10.50 . So each friend paid 10.50

Simplify the following expression

6y + 8 - 2y + 5y - 9

Answers

Answer: 9y-1

:))))))))))))))))))))

2.
Thomas drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?

Answers

Answer:

180

Explanation:

45*4=180

Answer:

I agree with the other answer- 45 x 4= 180 miles

0.8 as a fraction??
You can give your answer

Answers

Answer: 4/5

Step-by-step explanation:

0.8 = 8/10 = 4/5

Answer:

4/5

Step-by-step explanation:

Are the sets equivalent?
2) A = {17, 19, 21, 23, 25)
16.
B = {18, 20, 22, 24, 26}

Answers

Answer:

Step-by-step explanation:

number of elements in set A=5

number of elements in set B=5

so they are equivalent.

PLEASE SOMEONE HELP ME

Answers

Answer:

X=22

Step-by-step explanation:

90-68=22

I love you too princess I

Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can represent the area of the polygon For each statement, determine if "Yes, it is a possible decomposition" or "No, Is it not a possible decomposition and explain your reasoning.

Statement A: the area of triangle GHL plus of triangle HIJ

Statement B: the area of triangle GHK plus the area triangle HIK

Statement C: the area of triangle GHK plus the area of triangle ILK

Statement D: the area of triangle GHK plus the area of triangle ILK

Answers

Need more information

The statements to determine the area of the polygon by division into triangles are evaluated as follows;

Statement A: the area of triangle GHL plus of triangle HIJ --No

Statement B: the area of triangle GHK plus the area triangle HIK --Yes

Statement C: the area of triangle GHK plus the area of triangle ILK. --No

Statement D: the area of triangle GHK plus the area of triangle ILK. --No

Polygons and Triangles

From the given description;

The polygon given can only be divided into two triangles if divided into triangles; GHK and HIK.

Hence, it follows that the area of triangle GHK plus the area triangle HIK is equivalent to the area of the given polygon.

Read more on Area of polygons;

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A carpenter buys a box containing 0.6 kilogram of nails. Each nail has a mass of 5 grams. How many nail are in the box?

Answers

Using al values in grams
600grms/5gms=120 nails

Covert 2/3 years to months

Answers

Multiply by 12 so 8

thank you hope this helps

Answer:

7.9 or if you need to round it,it will be 8

Step-by-step explanation:

dont have a explanation nut i hopes this help.

If 70% of a number is 126 and 95% of the same number is 171, find 25% of that number.

Answers

Answer:

45

Step-by-step explanation:

70%=126

100%=?

100×126=12600÷70

=180

100=180

25=?

25×180÷100

=45

Will the product of 22.65 x 0.999 be greater than or less than 22.65? Without calculating, explain how you know.

Answers

It will be less  since as common knowledge, it's a decimal so it'll be a little bit less

Solve for w. Only use numbers in your answer.

8w - 15 = 57

w =

Answers

Answer:

w = 9

Step-by-step explanation:

1. Add 15 from both sides: 8w = 72

2. Divide my 8: w = 9

Answer:

the answer for this question is 9

How many distinct variables does the expression below
contain?
2x^5+xy^4-zx

Answers

It has 4 extinct variables in the equation.

A square picture frame with each side length represented by 3x -
5 has a perimeter of 52 inches. What is the value of x?
A. x = 3
u
B. x = 5
C. x = 6
D. x = 13

Answers

Answer:

C. X=6

Step-by-step explanation:

Length of one side =52/4= 13

3X-5= 13

3x = 13+5

X= 18/3

X= 6

HELP ASAP!!!!! 20PTS!!

Answers

Answer:

the answer is 80!!!!!!!!!!

Step-by-step explanation:

What is the equation of the line that passes through the point (-6, -6) and has a
slope of - 1/3

Answers

Answer:

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that [tex]m = -\frac{1}{3}[/tex]

So

[tex]y = -\frac{1}{3}x + b[/tex]

Through the point (-6, -6)

This means that when [tex]x = -6, y = -6[/tex]. So

[tex]y = -\frac{1}{3}x + b[/tex]

[tex]-6 = -\frac{1}{3}(-6) + b[/tex]

[tex]b + 2 = -6[/tex]

[tex]b = -8[/tex]

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

calculate the slope line that passes through points (0,3) (2,9)

Answers

9 - 3 = 6
2 - 0 = 2
Finally do 6 divided by 2 and you get 3.

The slope is 3

A person invested 3,900 in an account growing at a rate allowing the money to double every 7 years. How much money would be in the account after 18 years to the nearest dollar

Answers

Answer:

23182 or 23181.5109105

Step-by-step explanation:

If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table

Answers

Answer:

the day.

step-by-step: you dont need the day

Answer:

G

Step-by-step explanation:

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