Answer:
[tex](a)\ Pr = 0.25[/tex]
[tex](b)\ Pr = 0.50[/tex]
Step-by-step explanation:
Given
[tex]Flips = 4[/tex]
First, we calculate the sample size;
The coin has two possible outcomes (i.e. head or tail) and the number of flips is 4.
So, the sample size (N) is:
[tex]N = 2^4[/tex]
[tex]N = 16[/tex]
Solving (a): Probability the outcome of the first and last flip is head.
The possible outcomes for this event are:
[tex]n = \{(HHHH), (HHTH), (HTHH),(HTTH)\}[/tex]
[tex]n(n) = 4[/tex]
The probability is:
[tex]Pr = \frac{n(n)}{N}[/tex]
[tex]Pr = \frac{4}{16}[/tex]
[tex]Pr = 0.25[/tex]
Solving (a): Probability that the outcome of at least 2 consecutive flips is head.
The possible outcomes for this event are:
[tex]n = \{(HHHH), (HHHT),(HHTH), (HTHH),(THHH),(TTHH),(HHTT), (THHT)\}[/tex]
[tex]n(n) = 8[/tex]
The probability is:
[tex]Pr = \frac{n(n)}{N}[/tex]
[tex]Pr = \frac{8}{16}[/tex]
[tex]Pr = 0.50[/tex]
Terry used a bag of marbles to do a probability experiment. In the experiment, he selected one marble at random from the bag, recorded the color, and put the marble back in the bag. He repeated this procedure 15 times and recorded the results in the table shown Based on the results, what is the probability that the next marble Terry selects will be a green marble? Mark all that apply.
Answer:
Mate there isn't a chart
Step-by-step explanation:
Here is my question please help.
one of your friends is heading north for a holiday and the oter friend is heading south. if their destinies are 1029 miles apart and one car is traveling at 45 miles per hour and the other at 58 mile sper hour how many hours before the 2 cars pass eacother
Answer: 1029 + 45 + 58 + 2 = 1134
Step-by-step explanation: If you read the problem it has a key word how many so all you have to do is add.
1/3 of 36 solve using a tape diagram
A statement is shown. "The square root of x is a number that is non-terminating and non-repeating." Select all of the values of x that make the statement true.
a: x=1
b: x=8
c:x=25
d: x=81
e: x=125
Answer:
its B and E
Step-by-step explanation:
A group of friends went to play minigolf at Adventureland. Anna's score was 26 putts, Daniela's score was 31 putts, Luiza's score was 39 putts, and Vera's score was 32 putts.
Find the mean absolute deviation (MAD) of the data se
Answer:
3.5
Step-by-step explanation:
TIMED PLS HELP ME IM BEGGING
Answer:
4 cm
Step-by-step explanation:
Cylinder Volume formula:
V = πr²h
Given:
V = 240π
h = 15
Finding r:
V = πr²h
240π = πr²(15)
r² = 240π/15π
r² = 16
[tex]\sqrt{r^2} =\sqrt{16}[/tex]
r = 4
Answer:
4 cm
Step-by-step explanation:
TTr^2h = 240TTcm^3(the TT cancel out)r^2 x 15 = 240cm^3(divide both sides by 15)r^2 = 16(square root both sides)r = 4cmThe Pythagorean Theorem can be used to find missing side lengths of any type of triangle.
Answer:
False, it can only be used for Right Triangles.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
The factors of 30 are 1 2 3 4 5 6 10 15 and 30 Which if these are prime factors??
Answer: 1,2,3,5,
Step-by-step explanation: 1,2,3,5 are prime numbers because they are not a product of two smaller numbers.
Zane is putting the strings on 5 harps. Each harp has 48 strings.
How many strings does Zane need for all 5 harps?
Answer:
Zane needs 240 strings for 5 harps.
Step-by-step explanation:
All you have to do is multiply
48 * 5 = 240
So, the answer is 240
Hope this helps! :)
A dice is rolled 50 times.
The score of each throw is recorded in the table below.
Score
1
2
3
4
5
6
Frequency
12
9
5
13
3
8
12
a) The relative frequency of scoring a 1 was calculated as = 0.24
50
Work out the relative frequency, as a decimal, of throwing a 2.
I
[1]
b) How many times would you expect to roll a 5 when
this dice is thrown 3000 times?
[2]
c) How many times would you expect to roll a 5 when
a fair dice is thrown 3000 times?
+
[2]
Which statement about the data is true and find the median and range.
Answer:
I think it's D
its either A or D because the median is definitely 4
Imagine the average time to complete a 4-year bachelor degree is actually 4.7 years, based on national data. You collect data on the 68 psychology students who started school during the same semester as you, finding an average time to complete at 4.3 years with a standard deviation of 0.6 years. What would be the effect size associated with a single-sample t test
Answer:
-0.67
Step-by-step explanation:
Given that :
Population mean, μ = 4.7
Sample size, n = 68
Sample mean, M = 4.3
Sample standard deviation, s = 0.6
The effect size, d can be obtained using the relation :
d = (M - μ) / s
d = (4.3 - 4.7) / 0.6
d = - 0.4 / 0.6
d = - 0.66666
d = - 0.67
Hence, effect size associated with a single-sample t test is - 0.67
what is the value of x in each figure
PLEASE DON'T GIVE ME A LINK
Answer:
x=43
Step-by-step explanation:
3x+17+x-9=180
4x+8=180
4x=180-8
4x=172
x=43
Could someone explain to me how to solve any one of these problems so that I could solve the rest of them on my own? I already know the asymptote and the y-intercept, but I'm unsure of how to find the maximum/minimum.
Answer:
what in the world is this
Answer: Maybe asymptote means the lowest number and y-intercept means the second lowest and minimum means medium and maximum means the highest number.
I'm sorry if this doesn't help but i'm still in 3rd grade.
Find GH. What does GH equal?
Answer: GH = HJ = 4.6
Step-by-step explanation:
If you put two straight angles together, you get an angle that is 360°. You can think of this
angle as turning all the way around so that you are facing the same direction as when you
started the turn.
380
Answer:
what is your question?
Step-by-step explanation:
what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5
Answer:
y = 4/5 x + 2/5
Step-by-step explanation:
How do you refer 2ml of blue and 6ml of green in batches
Answer:
8ml
Step-by-step explanation:
3) Determine the greatest common factor between
Xy2 and x6y2
Answer:
it would be GCF= xy^2
Step-by-step explanation:
because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2
In the image below the area of the shaded sector is
Answer:
area = 471 ft²
Step-by-step explanation:
area of full circle = π30² = 2826 ft²
(60°/360°)(2826) = 471 ft²
What is the median for this list of numbers? 3, 6, 9, 10, 12
Answer:
9
Step-by-step explanation:
what is the probability if you randomly select comedy book replace it and another comedy book?
(if your going to answer pls explain )
help! help! please help
Answer:
to answer this i am gonna need the rise and run or the y2 -x2/ y1-x1 and then i well come back and edit this to the right answer
Step-by-step explanation:
Please help I need this due in 3 minutes!
Answer: you just add 700 and 750 which will give us 1,450
Step-by-step explanation:
Sandi's
house
School
2.5 in.
Sandi lives 5 miles from her school. One day, she took
the bus from her house to school. After school, she
went to the library to pick out a book. Then she went to
the park to read. If Sandi traveled along the route
shown, how far did she travel in all?
3 in.
miles
1.5 in.
Library
Park!
Answer: the answer is 14
solve for x:
(1/x) + (1/2x) = 18
Answer:
/sorry/
Step-by-step explanation:
How to solve your problem
(1)+(12⋅)=18
\frac{x}{(\frac{1}{x})}+(\frac{1}{2} \cdot x)=18
(x1)x+(21⋅x)=18
Solve
1
Combine multiplied terms into a single fraction
(1)+(12)=18
\frac{x}{(\frac{1}{x})}+(\frac{1}{2}x)=18
(x1)x+(21x)=18
(1)+(12)=18
\frac{x}{(\frac{1}{x})}+(\frac{1x}{2})=18
(x1)x+(21x)=18
2
Multiply by 1
3
Eliminate redundant parentheses
Solution
(1)+2=18
Help please what is this?
What is the surface area of this rectangular prism i-ready
Answer:
290 in²
Step-by-step explanation:
Using the net of the box given, we can see that there are 4 equal rectangles and 2 equal squares that make up the prism.
Area of the 4 rectangles = 4(60) = 240 in²
Area of the 2 squares = 2(25) = 50 in²
Therefore,
Surface Area of the prism = 240 + 50 = 290 in²
Answer:
The surface area of this prism is 290(in)²
Step-by-step explanation:
The surface area of a box is equal to the sum of the areas of each side of the box.
[tex]2 \times (lenght) \times (widht) + 2 \times (lenght) \times (height) + 2 \times (widht) \times (height)[/tex]
Substitute the values of the length l=5, the width w=5, and the height h=12 into the formula.
[tex]2 \times 5 \times 5 + 2 \times 5 \times 12 + 2 \times 5 \times 12[/tex]
Simplify each term.
[tex]50 + 120 + 120[/tex]
Simplify by adding numbers.
[tex]290(in)^{2} [/tex]
Hence, The surface area of this rectangular prism is 290in².
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral
Answer:
60cm^2
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm) (5cm) = 60 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.