The probability of observing exactly two heads when a fair coin is flipped four times is found to the nearest percent to be 38%.
What is probability?It is the ratio that shows the likelihood of an event occurring out of all the other possible events.
The tree diagram is drawn. The tree diagram is labeled such that the red lines represent the number of times exactly two heads are observed. The total number of events where exactly two heads are observed = 6The total number of events = 16∴ P( Getting exactly two heads when a coin is flipped four times) = 6/16 = 0.375
Convert the into percent as follows:0.375*100 = 37.5%
≈ 38%
Therefore, we have found the probability of observing exactly two heads when the coins are flipped four times to the nearest percent as 38%.
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List the transformation on the function f(x)
y= -4/5 f(x+5)-3
Answer:
Move the graph 5 units left, 3 units down, with a slope of -4/5
Step-by-step explanation:
inside parenthesis is the opposite so instead of 5 units right its 5 units left
and the 3 outside the parenthesis stays as is moving the graph down
and the -4/5 represents the slope of the function
carl has 1,064 legos. sharon has 19 time the amount of legos. how many legos does sharon have
1064 x
19
________
20216 legos
Sharon has 20216 legos
what is the answer to this 4 - 1 3/4
the answers is 9/4
simplified its 2 1/4 in mixed number form
decimal is 2.25
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $440 and standard deviation $10. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$456.45 should be budgeted.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $440 and standard deviation $10.
This means that [tex]\mu = 440, \sigma = 10[/tex]
How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?
This is x for which
P(X > x) = 0.05
So this is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 440}{10}[/tex]
[tex]X - 440 = 10*1.645[/tex]
[tex]X = 456.45[/tex]
$456.45 should be budgeted.
Danny reads for one half hour every day.
At the end of four weeks, how many hours has Danny read?
There are 7 days in a week.
1/2 hour x 7 days = 3 1/2 hours per week.
3 1/2 hours per week x 4 weeks = 14 hours
He read for a total of 14 hours
Answer:
14 hours
Step-by-step explanation:
half hour = 30 minutes
1 week = 7 days
30(minutes) x 7(days) = 210 minutes
210(minutes) x 4(weeks) = 840 minutes
Now we know how much time Danny has read (840 minutes), but we need to know what that is in hours.
840 minutes = how long Danny has read in minutes
60 minutes = hour
840(minutes) ÷ 60(minutes) = 14(hours)
Please help
Look at picture
Answer:
J = 2
Step-by-step explanation:
Volume formula: V = whl (width)(hight)(lenght)
solve for J (width)
Rearrange the formula:
w = V/lh
60/5 x 6 = 2
Please help me I don’t understand
CAN SOMEONE HELP ME!!
Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 6% interest, com pounded quarterly , in order to meet his goal ?
Answer
37 ,123.52
Explanation
the image above, hope it helps
If the scale factor of Figure A to Figure B is 7:2 find the perimeter of Figure A.
Simplify:
Camilla goes to the super market and buys two apples. each apple is $1.75. Camilla has $5.00 left. write an expression to represents this problem. Don't forget to use a variable!
Answer:
[tex] \huge \boxed{ \boxed{t - 3.5 = 5}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationlet's solve:a apple costs 1.75
2 apple costs 1.75×2=3.5
let her total money be t
according to the question
t-3.5=5The difference of two numbers is 14.Twice the smaller is 6 more than the larger.Find the numbers.
given triangle ABC if angleA=25degrees, angle B=75degrees and a=14 what is the length of side b to the nearest whole number
9514 1404 393
Answer:
b = 32
Step-by-step explanation:
The law of sines tells you ...
b = a·sin(B)/sin(A)
b = 14·sin(75°)/sin(25°) ≈ 31.998
b ≈ 32 . . . . units
lol plss we did this literally a week ago and I forgot how to do it
Answer:
okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144
Step-by-step explanation:
What’s the answer to this question need help !!!!!!!!!!!
Answer:
A.Yes, [tex]6^{2} + 8^{2} = 10^{2}[/tex]
Step-by-step explanation:
Rite Aid sells a six pack of fruit cups for $2.88 what is the unit cost price per fruit cup?
Answer:
0.48
Step-by-step explanation:
2.88/6=0.48
Answer:
2.88 / 6 = 0.48
Explanation:
Alice and Finn roll two number cubes. Which of the following rules will make the game fair?
A) Alice wins if a total of 5 is rolled. Finn wins if a total of 9 is rolled.
B) Alice wins if a total of 7 is rolled. Finn wins if a total of 8 is rolled.
C) Alice wins if a total of 3 is rolled. Finn wins if a total of 10 is rolled.
D) Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.
Answer:
Alice wins if a total of 4 is rolled. Finn wins if a total of 11 is rolled.
If you will write this in ratio 5 triangles is to 8 rectangles
Answer:
5 to 8, 5/8, 5:8
Step-by-step explanation:
if you have 5 triangles then TO 8 rectangles it will be (5 to 8, 5/8, or 5:8) those are all 3 ways to write it and it has to be # TO # in the right order it says in the sentence
hope this helpedWhat is the equation of the line that passes through the point (-4,-8)(−4,−8) and has a slope of 44?
Answer:
y = 44x + 184
Step-by-step explanation:
y = mx + b
-8 = 44(-4) +b
-8 = -176 + b
176 + 8 = b
184 = b
What’s the slope of the line I forgot how to do it when it comes to negative ones :((!!
Find each missing measure.
Answer:
∠x = 32°
∠y = 58°
∠z = 32°
Step-by-step explanation:
∠x = 180° - 148° = 32°
∠z = 32° because it is vertical to ∠X (32°)
∠y = 90° - 32° = 58°
Exercise 8.3.4: Selecting coders for 3 different projects. About (a) A manager must select three coders from her group to write three different software projects. There are 7 junior and 3 senior coders in her group. The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person. How many ways are there for her to assign the three coders to the projects if no person can be assigned to more than one project
Answer:
168 ways
Step-by-step explanation:
Given
[tex]Junior = 7[/tex]
[tex]Senior = 3[/tex]
Required
Number of ways 3 project can be assigned
Starting with the second project.
This can be assigned to only senior coders
So:
[tex]n_1 = 3[/tex]
Then, the third project.
This can be assigned to only junior coders
So:
[tex]n_2 = 7[/tex]
At this point, we are left with 2 senior coders and 6 junior coders
Since the first can be assigned to anybody.
[tex]n_3 =2+ 6[/tex]
[tex]n_3 =8[/tex]
The number of selection is then calculated as:
[tex]n = n_1 * n_2 * n_3[/tex]
[tex]n = 3 * 7 * 8[/tex]
[tex]n = 168[/tex]
Find the perimeter of the figure to the nearest hundredth. due today
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 36.57
Explanation:
6x4 = 24
3.14(2)^2 = 12.56
12.57+24=36.57
I hope this helped!
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- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
The tape diagram represents an equation.
W
1.3
2.7
Write an
equation to represent the image.
Answer:
w+1.3=2.7
Step-by-step explanation:
Answer:
1.3 + w = 2.7
Step-by-step explanation:
Hope this helps
15% of 20 is ??? please helpp
Answer:
I believe it is 3
Step-by-step explanation:
Answer:
the answer is 3 brainlest plz
Step-by-step explanation:
Quadrilateral A'B'C'D' Is the image of quadrilateral ABCD under a dilation.
What is the scale factor of the dilation?
Answer:
Scale factor = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Formula for the dilation to be used,
Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]
= [tex]\frac{A'B'}{AB}[/tex]
= [tex]\frac{1}{4}[/tex]
Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].
Impossible Not Ukely Equslly Ukely & Unlikely Ukoly Certain Events: a. You will win the grand prize in a raffle if you purchased 2 of the 100 tickets. b. You will wait less than 10 minutes before ordering at a fast-food restaurant. c. You will get an even number when you roll a standard number cube. d. A four-year-old child is over six feet tall. e. No one in your class will be late to class next week. f. The next baby born at a hospital will be a boy, g. It will snow at our school on July 1. h. The sun will set today before 11:00 p.m. i. Spinning the spinner shown will result in green. j. Spinning the spinner shown will result in yellow.
Answer:
a. Unikely
b. Likely
c. Equally likely
d. Unlikely
e. Equally likely
f. Equally likely
g. Unlikely
h. Likely
i. No SPINNER SHOWN?
j. NO SPINNER SHOWN?
Step-by-step explanation:
Which statement about the line in the graph is false?
The two triangles are similar.
The ratio of the horizontal side length to the vertical side length of each triangle is equal to the slope of the line.
The ratio of the vertical side length to the horizontal side length of each triangle is equal to the slope of the line.
The slope of the line is 6.
Choose all answers that apply
a. 7°
b. 45°
c. 90°
d. 210°
e. 355°
f. none of the above
Answer:
a,b,c,d and e
Step-by-step explanation:
a circle can be rotated any degree an be symmetrical therefore it has a infinite order of rotational symmetry
thus meaning that the answers are a , b , c, d and e
What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as
a decimal precise to two decimal places.
P=
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a
decimal precise to two decimal places.
P-
Complete question :
Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.
What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.
Answer:
0.56 ; 0.60
Step-by-step explanation:
From The attached Venn diagram :
C = attend college ; J = has a job
P(C) = (35+45)/300 = 80/300 = 8/30
P(J) = (30+45)/300 = 75/300 = 0.25
P(C n J) = 45 /300 = 0.15
1.)
P(J | C) = P(C n J) / P(C)
P(J | C) = 0.15 / (8/30)
P(J | C) = 0.5625 = 0.56
2.)
P(C | J) = P(C n J) / P(J)
P(C | J) = 0.15 / (0.25)
P(C | J) = 0.6 = 0.60
What is the circumference of the circle?
circumference = 2*(22/7)*r^2
r=d/2
so answer is 103.62