Answer:
The mean of X is 2 and the standard deviation is 1.3.
Step-by-step explanation:
For each dice rolled, there are only two possible outcomes. Either it lands on one, or it does not. The probability of a dice rolled landing on one is independent of any other dice. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Probability of rolling a 1.
Six sides, so:
[tex]p = \frac{1}{6} = 0.1667[/tex]
12 dices are rolled:
This means that [tex]n = 12[/tex]
Find the mean and standard deviation of X
[tex]E(X) = np = 12*0.1667 = 2[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{12*0.1667*0.8333} = 1.3[/tex]
The mean of X is 2 and the standard deviation is 1.3.
PWEASE HELP I DON'T UNDERSTAND THIS
Answer:1) 76m
2) 239 cm
Step-by-step explanation:
Find the radius of a circle with a circumference of 18.84 m. Use 3.14 for .
Answer:
2.9
Step-by-step explanation:
if you need me to explain just comment!
I hope i was able to help!!!!!
Answer: 3m
Step-by-step explanation:
c = 2[tex]\pi[/tex]r
18.84 = 2 x 3.14r
18.84 = 6.28 r
r = 3
Lisa rolls a number cube that has sides labeled 1 to 6 and then flips a coin. What is the probability that she rolls an odd number and flips tails?
A.1/8
B.1/4
C.1/2
D.3/4
Answer: B. 1/4
Step-by-step explanation: The probability of rolling an odd number is 3/6 since there are 3 odd numbers between 1 and 6 (1, 3, 5). The probability of flipping a coin and getting tails is 1/2 since you can either get heads or tails. With this knowledge, you must multiply these two probabilities to get the probability of getting an odd number AND tails; so, 3/6 x 1/2 = 3/12 = 1/4.
Complete the ratio table.
15
14
42
60
56
75
70
90
Trent attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity, he measures the magnet and calculates that it has a diameter of 4 centimeters. What is the magnet's area?
Answer:
12.6 cm²
Step-by-step explanation:
From the above question, the magnet is circular in shape
The area of a circle is given as:
= πr²
The area of the magnet = π × r²
Diameter = 4cm
r = Diameter/2 = 4cm/2 = 2cm
= π × (2cm)²
= 12.566370614cm²
Approximately = 12.6 cm²
The area of the magnet = 12.6cm²
Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the goal has been reached. Kurt estimated the number of pounds of newspapers collected by finding 10% of 3,600 and then multiplying the result by 2. Maria estimated the number of pounds of newspapers collected by finding One-fifth of 3,600.
Options:
Who is right, and why?
a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.
b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.
c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Answer:
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Step-by-step explanation:
Given
[tex]Goal = 3585[/tex]
[tex]Collected = 21\%[/tex]
[tex]Kurt= 10\% * 3600 * 2[/tex]
[tex]Maria = \frac{1}{5} * 3600[/tex]
Required [Missing from the question]
Who is correct and why?
First, we calculate the actual amount collected.
[tex]Actual = Collected * Goal[/tex]
[tex]Actual = 21\% * 3585[/tex]
[tex]Actual = 752.85[/tex]
[tex]Actual = 753[/tex] --- approximate
Next, determine the estimate (round 3585 to 3600 and 21% to 20%)
[tex]Estimate = 20\% * 3600[/tex]
[tex]Estimate = 720[/tex]
Next, calculate Kurt and Maria's estimates
[tex]Kurt= 10\% * 3600 * 2[/tex]
[tex]Kurt = 720[/tex]
[tex]Maria = \frac{1}{5} * 3600[/tex]
[tex]Maria = 720[/tex]
Hence, Kurt and Maria are correct because of option (d)
Answer:
d
Step-by-step explanation:
1 oz = 16 lb
What is 24 ounces converted to pounds?
Write your answer as a fraction in simplest form. 1)
24 ounces is equal to
pounds.
Answer:
1.5 pounds
Step-by-step explanation:
24-16 is 8, so divide 8 by 16 and you get 1.5
The value of 24 ounces to pounds is 1.5 pounds.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that 1 oz is equal to 1/16 pound. The value of 24 ounces to 16 pounds will be calculated as,
1 oz = 1/16 pounds
24 oz = 24 / 16
24 oz = 1.5 pounds
Hence, the value of 24 oz is 1.5 pounds.
To know more about an expression follow
https://brainly.com/question/25490005
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Help
1: You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly?
2: In a class, 60% of the students are girls. There are 21 girls in the class.
A: How many Students are in the class?
B: How many boys are in the class?
Answer:
1: 9 questions incorrect and 41 correct
2: There are a total of 35 students. 21 girls and 14 boys.
A faraway planet is populated by creatures called Mizjigs. All Mizjigs are either black-footed or red-footed and either one-headed or two-headed.
Ragon, who lives on this planet, does a survey and finds that her colony of
650 contains 120 black-footed, one-headed Mizjigs; 200 red-footed, two-headed Mizjigs; and 300 one-headed Mizjigs.
Answer:
The correct awenser is 270 because when you fill out the chart the total black footed Mizjigs it is 270.
Step-by-step explanation:
A group Students is painting a background piece for the school play what is the area of the part that is painted grey?
Answer:
108 inches
Step-by-step explanation:
6X6X3
Alan has read 20% of his book. He has 64 more pages to finish. How many pages are there in the book?
Answer:
80 pages
Step-by-step explanation:
We can think of this as 80% of the book is 64 pages
.8x = 64
x=80
Help ASAP PLS! 20 Points:) I am reporting any fake responses so please be for real, I appreciate it!
The population of a species of starfish in the Gulf of Mexico is decreasing at an exponential rate, A(t) = A0e(kt) . Five years ago the population was 10,000. The current population is only 2000. When the population is 500, the starfish population cannot recover. When will this event occur?
Show your work and explain the process of solving this problem.
Complete the table of values for y = -2x + 11
Can you help?
Answer:
x 0 1 2 3 4
y 11 9 7 5 3
Step-by-step explanation:
basically you just plug in all of the x values shown in the table into the equation, to find the matching y values.
i hope this helps :)
I NEED HELP ASAP PLZ
a musician borrows $2,200 to buy a trumpet. The length of the loan is a 3 yr, and the total simple interest owed will be $792.
what is the annual rate of interest, written as a percent, on the musician's loan for the trumpet?
The formula for simple interest is l = Prt.
Did you ever get the answer to this?:
Step-by-step explanation:
how do I solve this?? number 8
Answer:
135
Step-by-step explanation:
that line equals 180 degrees so just subtract 45 to get the value of x
There is a bag with only milk and dark chocolates.
5
The probability of randomly choosing a dark chocolate is 1
12
There are 25 dark chocolates in the bag and each is equally likely to be chosen.
Work out how many milk chocolates there must be.
Answer:
There are 300 milk chocolates in the bag.
Step-by-step explanation:
Since there is a bag with only milk and dark chocolates, and the probability of randomly choosing a dark chocolate is 1/12, if there are 25 dark chocolates in the bag and each is equally likely to be chosen, to determine how many milk chocolates there must be the following calculation must be performed:
1 = 25
12 = X
12 x 25/1 = X
300/1 = X
300 = X
Therefore, there are 300 milk chocolates in the bag.
6m - 8 = 1/2(-4m + 16)
Answer:
m=2
Step-by-step explanation:
6m - 8 = 1/2(-4m + 16)
Distribute
6m -8 = -2m +8
Add 2m to each side
6m-8+2m = -2m +8+2m
8m -8 = 8
Add 8 to each side
8m-8+8 = 8+8
8m = 16
Divide each side by 8
8m/8 = 16/8
m=2
The equation 3x – 2y = 18 is in slope intercept
form.
If the y variable was isolated, it would be in
What
form.
(Use all lowercase letters when writing the answers)
Answer:
Y intercept form
Step-by-step explanation:
What is the equation of the line that passes through the point (6,6) and has a slope of 5/3??
Answer:
y = 5/3x - 4
Step-by-step explanation:
(6, 6)
m = 5/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 6)
y - 6 = 5/3x - 10
y = 5/3x - 10 + 6
y = 5/3x - 4
Can someone plz help me I’m really confused on this.
Answer: x:6
y:7
z:6
Step-by-step explanation:
Answer:
x = 5.25
y = 6
z = 5.25
Step-by-step explanation:
For x and z
x = z
3 x
---- = ----
4 7
Cross multiply: 21 = 4x
21/4 = x
x = 5.25
z = 5.25
For y
3 y
---- = ----
4 8
Cross multiply: 24 = 4y
24/4 = y
y = 6
jaques journal is 300 pages long he use 10% of the pages in his journal
how much pages does jques use in journal
Answer:
he uses 30 pages
Step-by-step explanation:
turn 10% into a decimal. this would be .10
.10 • 300=30
30 pages
There are 1,065 students going on a trip. Each bus holds 60 students. How many buses are needed to hold all of the students?
Mhanifa please help im almost done! I will mark brainliest :)
Answer:
Hello! Your answer is, 1 :A)28 AND 2:D)75 and CD AND 3:B)10 1/2
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
Answer:
#5
x/ 12 = 7/3 x = 12*7/3x = 28 feetOption A#6
Consider letter position in names of figures:
A. QR and CD is the correct one#7
x/ 8 = 7/12x = 8*7/12x = 4 2/3One angle marked and one angle congruent as vertical
A. AA postulate; 4 2/3 is the correct optionWhich choice is an irrational number?
A.
4
π
π
B.
√
6
2
C.
√
18
D.
21
.
989
Answer:
3 one good luck with the question
Answer:
dddddddddddddddddddddddddd
(will give brainly) orde the values on the cards below in ascending order
Answer:
Step-by-step explanation:
Set 1
first of all we have to look at the negative numbers:
-99% = -0,99
-√80 = is almost 9
so :
-9,(9) ; -√80 ; -99%
then the positive numbers:
19% = 0,19
√9 = 3
1/9 = 0,11...
so
1/9 ; 19% ; √9
final answer:
-9,(9) ; -√80 ; -99% ; 1/9 ; 19%, √9
Set 2
descending order = from greatest to least
In this case we have to look at first at positive numbers
2/3 = 0,6
√23 = 4,...
20/3 = 6,...
23% = 0,23
so
20/3 ; √23 ; 2/3 ; 23%
negative numbers
-√34 = -5,...
so :
-4,(3) ; -√34
final answer:
20/3 ; √23 ; 2/3 ; 23% ; -4,(3) ; -√34
Rewrite 1401/8
in radical form.
Answer:
We can write
140 / 1 /8
in radical form as:
8 √ 140
Step-by-step explanation:
Jennifer's grandma bought her a $50 savings bond when she was born. When Jennifer is 30 years old, the bond will have earned 110% in interest. How much will the bond be worth when Jennifer is 30 years old?
Answer:
105$
Step-by-step explanation:
We are told that she starts with 50$
We are also that after 30 years she earns 110% on interest
Given this information we need to find the value of the bond after the 30 years
To do so we take 110% of the initial value (50$) and add that to the initial value
So the answer = 110%(50) + 50
110%*50=55
55+50=105
So in 30 years the bond will be worth 105$
For her birthday party, Kelly invited her friends to a nearby roller-skating rink. The area of the rectangular rink is 1,530 ft2, and the length is 51 ft. What is the width of the rink?
Answer:
30ft
Step-by-step explanation:
1530ft2 divided by 51ft.
2. How much will a $210 bicycle on sale for 15% off cost?
$195.50
$31.50
$178.50
O $241.50
Answer:
The answer would be $178.50
Step-by-step explanation:
What is the answer to equation
-3× + 7 =1
Answer:x=2
Step-by-step explanation: