Answers
Related Questions
Exercise 12.1.1: Coin flips and events. About A coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads.
Answers
Answer:
a [tex]Pr = 0.25[/tex]
b [tex]Pr = 0.50[/tex]
c [tex]Pr = 0.1875[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex] --- number of times
[tex]r = 2[/tex] --- faces of a coin
First, is to determine the sample size.
This is calculated as:
[tex]Size =r^n[/tex]
[tex]Size =2^4[/tex]
[tex]Size =16[/tex]
Solving (a): First and last slip is head
This event is represented as:
[tex]E=\{HHHH, HHTH, HTHH, HTTH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{4}{16}[/tex]
[tex]Pr = 0.25[/tex]
b) At least 2 consecutive flips that is heads.
This event is represented as:
[tex]E=\{HHHH,HHHT,HHTH,HHTT,THHH,THHT,HTHH,TTHH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{8}{16}[/tex]
[tex]Pr = 0.50[/tex]
c) First is tail and at least 2 consecutive flips is head.
This event is represented as:
[tex]E=\{THHH,THHT,TTHH\}[/tex]
The probability is calculated as:
[tex]Pr = \frac{n(E)}{Size}[/tex]
[tex]Pr = \frac{3}{16}[/tex]
[tex]Pr = 0.1875[/tex]
Solve for X and Y
20x 25x 7x 5y 20x
Answers
9514 1404 393
Answer:
(x, y) = (5, 9)
Step-by-step explanation:
We must find the value of x before we can find the value of y. Fortunately, simply adding the arcs around the circle will give an equation for x.
25x +20x +7x +20x = 360 . . . . angles in degrees
72x = 360 . . . simplify
x = 5 . . . . . . divide by 72
__
The value of the external angle at J is half the difference of arcs GL and HK. That is, ...
5y = (25x -7x)/2 = 9x = 9(5) . . . . simplify, fill in for x
y = 9 . . . . . . divide by 5
__
(x, y) = (5, 9)
An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Answers
Answer:
$43.20 total
$3.20 sales tax
Explication:
40*1.08=43.2
Answer:
sales tax = $3.20
total cost = $43.20
Step-by-step explanation:
To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).
Sales tax percent: 8%
In decimal form: 0.08
Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,
(item_price) * (sales_tax)
= (40) * (0.08)
= 3.2
Sales tax amount: $3.20
To find the total cost of the product, add the sales tax amount to the item price,
(item_price) + (sales_tax_amount)
= 40 + 3.20
= 43.20
if z=14 and x=83 , then what is the value of y?
Answers
Answer:
y = 152
Step-by-step explanation:
The chord- chord angle x is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] (y + z) = 83 ( multiply both sides by 2 to clear the fraction )
y + z = 166
y + 14 = 166 ( subtract 14 from both sides )
y = 152
Professor Adeyemi is examining well-being after retirement in a city, and it is important to have excellent external validity. Professor Adeyemi selects two random numbers, 4 and 6, and gets a list of all of the retired people in the city. If Professor Adeyemi obtains the sample by starting with the 4th person on the list and selecting every 6th person, which of the following sampling techniques is most likely being used?
a. systematic sampling
b. stratified random sampling
c. quota sampling
d. cluster sampling
Answers
Answer:
A: systematic sampling
Step-by-step explanation:
The correct answer is systematic Sampling.
This is because, Systematic sampling is a method of sampling whereby the researchers choose members of a population at regular intervals e.g., when we select every 10th person on a particular list in the population.
And in this question, the professor starts with the 4th person on the list and selecting every 6th person. Thus, the answer is systematic Sampling.
Please please help!!!!!!!!
Answers
Explication:
Multiply 3 with 8 to turn the 3 whole points into parts.
3 x 8 = 24
Add the 7 pieces you already have,
24 + 7 = 31
Put it over 8 then you have your answer.
Answer = 31/8
(Now you know how to do it!)
someone help me please like mega pleaseee help a girl out
Answers
Answer:
B.
Step-by-step explanation:
which is most likely the next step in the series?
Answers
Answer: the correct answer is a
Step-by-step explanation:
What is the value of x in the equation (2x + 1)1/3 + 3 = 6
Answers
Answer:
x = 4
Step-by-step explanation:
10 points
question 5: a, b, and c.
Answers
Answer:
the First One By Adding Four
The Second One Add Five And Two
The Third Add Two And Substract Four
The store sells 6 donuts for $15 Kim has $37.50 how many donuts can she buy?
Answers
Answer:
12 if the donuts are sold in boxes and not singular, 15 if you can buy a smaller sized box
Step-by-step explanation:
Hope this helps! have a great day!
6/15 = 2.50
37/2.50 = 15
(since 6 donuts are equal to 15 dollars you would need to divide 6 and 15 to get the original price ( which would be 2.50) and now that you have the original price you can divide the original price from the amount that she originally has to figure out how many donuts that she needs ( 37.50 / 2.50 = 15) which would leave kim to have 15 donuts
Jed is building a roof for his shed. The highest point of the roof will be 3 ft higher than the top of the shed. The slanted roof will be 7 ft long. What is the measure of the angle formed by the top of the shed and the slanted roof?
Answers
Answer:
90 degrees
Step-by-step explanation:
Answer:
It’s 100% 25..
Step-by-step explanation:
4 × 1 + 3 × 1/10 + 9 x 1/1,000 in word form
Plsss 15 points :)
Answers
Answer:
four multipled by one plus three multiplied by one tenth plus 9 multiple by one one thousandth
Solve for x:
1.1.1
x² - 6x=0
Answers
Answer:
zoom in
mark me as brainliest
Separate the solutions and the quadratic equations are:
X=6,X=0
Express 1/3 as a repeating decimal and round to the nearest hundredth.
Answers
Answer:
1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's
Step-by-step explanation:
.3 is in the tenths and .33 is in the hundredths place
Choose all of the shapes that are used to create the net of a cylinder. circle triangle wedge rectangle
Answers
Answer:
trianglw
Step-by-step explanation:
Answer:
Two circles and a rectangle will make up a cylander.
Step-by-step explanation:
Have a good day! :)
I really need the answer with explanation
Answers
Answer:
A = 22 and B = 35
Step-by-step explanation:
The proportional value of x and y is simply
x times 3 1/2 = y
What is the measure of m?
12
4
n
m
m
[?]
Enter
will give brainliest
Answers
Answer:
8 I think
Step-by-step explanation:
if I'm wrong don't get offended
Someone please help me answer this!! Show me all steps you used please!!!
Answers
Answer:
144
Step-by-step explanation:
20²-16²
pythagorean theorem
a²=b²-c²
During a fundraiser, students in Math Club make a $0.50 profit for every candy bar they sell. Let n represent the number of candy bars the club sells. Let t represent the total profit earned, in dollars. What is the total profit earned for selling 10 candy bars?
Answers
Answer:
$5
Step-by-step explanation:
If every candy bar is $0.50 and they sell 10 just do
0.50 x 10 = 5
Tan x= sin x/cos X. Therefore tan (90-A) =
Answers
Answer:
tan (90° - A) = cot A
Step-by-step explanation:
tan (90° - A) = sin (90° - A) / cos (90° - A) = cos A / sin A = cot A
What is the relationship of the 4’s in the following numbers: 54,987 32,465
Answers
Answer:
The 4 in the number "32465" is 10 times less as the 4 in "54987"
Step-by-step explanation:
Write it out in expanded form 32465: "30000+2000+400+60+5" and 54987: "50000+4000+900+80+7" and 4000 in 54987 is 10 times greater than 400 in 32465.
help please triangles and trig
Answers
Given:
A figure of a right angle.
To find:
The value of x.
Solution:
We know that the measure of the altitude on the hypotenuse of a right right triangle is the geometric mean of the segments of the hypotenuse.
If the altitude "h", divides the hypotenuse in two segments "a" and "b", then
[tex]h=\sqrt{ab}[/tex]
In the given figure, the measure of the altitude is x and it divides the hypotenuse in two segments 3 units and 24 units.
Using the above theorem, we get
[tex]x=\sqrt{3\times 24}[/tex]
[tex]x=\sqrt{72}[/tex]
[tex]x=6\sqrt{2}[/tex]
Therefore, the required solutions for the given blanks are:
Blank 1: 72
Blank 2: 6
Blank 3: 2
The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that a sample of 38 people from a North Carolina city consumed a mean of 1.84 cups of coffee per day, with a standard deviation of 0.85 cups. In a two-tail test at the 0.05 level, could the residents of this city be said to be significantly different from their counterparts across the nation?
Answers
Answer:
The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance
the null hypothesis is accepted
There is no significant difference between their counterparts across the nation
Step-by-step explanation:
Step(i):-
Given that the mean of the U.S residents = 1.65
Given that the size of the sample 'n' = 38
Mean of the sample = 1.84
Given that the standard deviation of the sample (S) = 0.85
Step(ii):-
Null hypothesis:H₀:
There is no significant difference between their counterparts across the nation
Alternative Hypothesis:-H₁:
There is a significant difference between their counterparts across the nation
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }[/tex]
t = 1.3788
Degrees of freedom
ν = n-1 = 38-1 = 37
t₀.₀₅ ,₃₇ = 2.0262
The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance
Null hypothesis is accepted
Final answer:-
There is no significant difference between their counterparts across the nation.
richard can mow 2 of his neighbors lawns in 1.6 hours. He expresses this information as the ratio 2 lawns/1.6 hours. To find the number of lawns he mows each our, Richard can-
A-divide 2 by 1.6, resulting in 1.25
B- Multiply 1.6 by 2, resulting in 3.2
C- divide 1.6 by 2, resulting in 0.8
D- add 2 to 1.6, resulting in 3.6
Answers
Answer:
I think it's C.
1/6th of an hour would be 1:10 minutes. Also known as 70 minutes, so 70 divided by 2 equals 35.
EVERYBODY LOOK.
^^^^^^^^^^^^^^^^^^^
40 FREEPOINTS
Answers
Answer:
Oh ok add me abelthegoat8
Step-by-step explanation:
Answer:
I don't have sc, but thx for the points! :)
Step-by-step explanation:
have a good day!
4. Which one of the following pairs of numbers contains like fractions?
A. 5/4 and 4/5
B.4/8 and 12/16
c. 6/7and 60/70
D.1/2 and 3/2
Answers
Answer:
6/7 and 60/70
Step-by-step explanation:
6 times 10 is 60
7 times 10 =70
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]
C. 6/7 and 60/706 × 10 = 60
7 × 10 = 70
꧁✰_______❀Edilyn❀_______✰꧂#CarryOnLearning
#NoToCopyPaste
For brainly user:Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste
You can search on the internet but make your own sentence okay? Thank you
I need help I already failed the first attempt
Answers
Step-by-step explanation:
Hi,
y - 1 = 2 - x has a negative slope.
x + y = 0 has a negative slope.
y = 4x - 3 has a positive slope.
y = 1 has a 0 slope.
x = 10 has an undefined slope.
I hope this helps :)
Which of the following is equivalent to the expression below?
4x + 2(3-x)
6x + 6
3x+6
5x + 6
2x +6
Answers
Answer:
2x + 6
Step-by-step explanation:
you have to factorize the above equation first and you'll get the answer
NEED HELP PLEASE ASAP! BRAINLIEST TO RIGHT ANSWER! Two similar rectangles have areas of 6 in.2 and 24 in.2. What is the scale factor of the smaller rectangle to the larger rectangle?
A. 2 : 1
B. 4 : 1
C. 6 : 1
Answers
When you divide 6/2 and 24/2 you get 4/1