Auden rolled two number cubes and recorded the results. What is the experimental probability that the
sum of the next two numbers rolled is greater than 5? Enter your answer as a simplified fraction.
Roll #7
Roll #1
2,1
Roll #2
6,3
Roll #3
6,3
Roll #4
5,6
Roll #5
3,3
Roll #6
4,3
The experimental probability that the sum of the next two numbers rolled is more than 5 is
Answers
Answer:
[tex]Pr = \frac{5}{7}[/tex]
Step-by-step explanation:
Given
[tex]n = 7[/tex] -- rolls
Required
[tex]P(sum > 5)[/tex]
From the attached table, the outcomes whose sum are above 5 are"
[tex]sum>5 = \{\#2,\#3,\#4,\#5,\#6\}[/tex]
[tex]n(sum > 5) = 5[/tex]
So, the probability is:
[tex]Pr = \frac{n(sum > 5)}{n}[/tex]
This gives:
[tex]Pr = \frac{5}{7}[/tex]
Related Questions
The hypotenuse of a right triangle measures 20cm. The sum of the lengths of the other two sides is 28cm. Find the lengths of those two sides.
Answers
Step-by-step explanation:
Here, h = 20cmBy question, p + b = 28cmor, p = 28 - bUsing pythagoras theorem, h^2 =p^2 + b^220^2 = (28-b) ^2 + b^2400 = 28^2 -2x28xb + b^2 + b^256b = 784 - 400 + 2 b^20 = 2b^2 - 56b + 384 0 = 2 ( b^2 - 28b + 192)0 = b^2 - (16 + 12) b + 1920 = b^2 - 16b - 12b + 1920 = b (b - 16) - 12 (b - 16)0 = (b - 16) (b - 12)Either, b= 16Or,b = 12When b = 16,p = 28 - 16 = 12When b = 12,p = 28 - 12 = 16Your credit card company charges 18 % APR (Annual Percentage Rate )
What is your daily periodic rate?
A 0.02%
B 0.03%
C 0.04%
D 0.05%
Answers
Answer:
c
Step-by-step explanation:
is 8/15 0.53 with the 3 repeating or no?
Answers
Answer:
Yes.
Step-by-step explanation:
I don't really know how to explain this other than use a calculator.
Hope that this helps!
Find the area of the figure described
Answers
Answer:
153.94
Step-by-step explanation:
A=πr2=π·72≈153.93804
hope this helps!
please mark brainiest<3
Find sets A and B such that A ∩ B = {3, 5} and A ∪ B = {2, 3, 5, 7, 8}
Answers
Answer:yes
Step-by-step explanation:99
Sarah’s meal cost $28.80 without tip how much will she pay including 25% tip
Answers
Answer:
$ 36.00
Step-by-step explanation:
Tip Total: $ 7.20
Total (Bill + Tip): $ 36.00
The ratio of men to women at a meeting is 7:6.If there are 28 men at the meeting;
a. How many women are at the meeting?
b. How many men and women are at the meeting?
Answers
Answer:
a. 24 woman
b. 28 men and 24 women
Step-by-step explanation:
a.
given: men to women = 7:6
find: number of women
solution: 28 / 7 = 4, 4 * 6 = 24 women
b.
given: number of men
find: number of men and women
solution: 28 men and 24 women
hope this helps....
Answer:
A) 24 women
B) 52 men and women are at the meeting
Step-by-step explanation:
A)
Let y = women at the meeting
7:6 = 28:y
7/6 = 28/y
6×38 = 7y
6×28⁴/7¹ = 7y¹/7¹
y= 6×24
y=24
B)
Number of women at the meeting = 24
Number of men at the meeting = 28
Total number of people at the meeting = 24+28
= 52
Express the ratio below in its simplest form. 1.5 : 1
Answers
Answer:
3 :2.
Step-by-step explanation:
1.5 : 1
Multiply both numbers by 2:
i this gives 3:2
I need answers to, tan x = 23/41 and sin x = 23/45
Answers
Answer:
See below. Remember to take the inverse trig function of both sides!
Step-by-step explanation:
The solution to [tex]tanx=\frac{23}{41}[/tex] is [tex]x=tan^{-1}(\frac{23}{41})=29.29136217^\circ[/tex]
Similarly, the solution to [tex]sinx=\frac{23}{45}[/tex] is [tex]x=sin^{-1}(\frac{23}{45})=30.73786867^\circ[/tex]
Weather it’s true or false?
Answers
Eggs $8.00 per dozen.
Mrs. Harris bought 5 dozens eggs and sold them at $1.00 each. Calculate her gain or loss percent.
Answers
If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?
the length is 10ft
the height is 6.5ft
what would x
A. 3 ft
B. 2.25 ft
C. 4.5 ft
D. 5 ft
Answers
Note: Consider x be the breadth of the box.
Given:
The surface area of the box is 204.25 square feet.
Length of the box = 10 ft
Breadth of the box = x ft
Height of the box = 6.5 ft
To find:
The value of x.
Solution:
The surface area of a cuboid is:
[tex]SA=2(lb+bh+hl)[/tex]
Where, l is length, b is breadth and h is height of the cuboid.
Putting [tex]SA=204.25, l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get
[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]
[tex]204.25=2(10x+6.5x+65)[/tex]
[tex]204.25=2(16.5x+65)[/tex]
Using distributive property, we get
[tex]204.25=2(16.5x)+2(65)[/tex]
[tex]204.25=33x+130[/tex]
[tex]204.25-130=33x[/tex]
[tex]74.25=33x[/tex]
Divide both sides by 33.
[tex]\dfrac{74.25}{33}=x[/tex]
[tex]2.25=x[/tex]
Therefore, the correct option is B.
questions 1 and 2, please
Answers
Answer:
too blurry cant read it
Step-by-step explanation:
.........................................................
given triangle abc is similar to triangle efg, with medians cd and gh respectively, ac=9, eg=6, cd=x+2, gh=2x-4. find the length of cd
Answers
Answer:
X= 9//
Step-by-step explanation:
abc = efg
ac + cd = eg + gh
9 + (x+2) = 6 + (2x-4)
9 - 6 = 2x-4 - (x+2)
3 = x - 6
3+6 = x
9 = x//
HELP PLEASE PLEASEEEEEE
Answers
Answer: Well this one is simple too.
ATQ Angle 4 is 73° so the vertically opposite angle that is angle to will be the same, 73°.
now for the rest two.
lets find angle 1 first. If we find any one from this we can automatically get the other as they are vertically opposite angles.
Angle 1= 180 - Angle 4
Angle 1 = 180-73=107°
We found this coz the Angle 1 and 4 are on the same line which will form a straight angle.
hence, Angle 4 and 2 = 73°
Angle 1 and 3= 107°
Hope it helps. Pls mark brainliest
a bag contains 15 new batteries and 10 use batteries if Heather randomly so what's two batteries from the bag without replacement what is the probability that she will select a used battery and then a new battery
Answers
Answer:
1/4
Step-by-step explanation:
Probability is the number of desirable outcomes divided by the number of total outcomes. We can tell these events depend on each other because the batteries are picked without replacement. To find the probability of two dependent events, event that depend on each other, we can find the probability of the first event and the probability of the second event happens if the first is given and multiply them. In this case, the first event is selecting a used battery and the second is picking a new battery.
The total number of outcomes the basically the total amount of batteries that can be chosen. This is 15 + 10 or 25 outcomes. 10 of these batteries are used, and that would correspond to the amount of desirable outcomes because we want to pick a used one. From this, we can say the probability of picking a used battery is 10/25 which simplifies to 2/5.
To find the probability of picking a new battery after picking a used one, we can start by stating the amounts of each battery before the second draw. Since we already picked a used battery, our new totals will be 24 batteries, which 9 are used and 15 are new. Now, we can do the same thing a before, the number of desirable outcomes over the total. We get 15/24 which simplifies to 5/8.
To find the total probability, we multiply the two getting: 2/5 * 5/8 = 1/4.
I need help!!!!!!!!???!!!!!!!!??
Answers
hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello
Step-by-step explanation:
hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello hello
Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.
Answers
Step-by-step explanation:
where is the figureee??
A researcher conducted a paired sample t-test to determine if advertisements were viewed more in the morning (before noon) or in the evening (after 5pm) for eight different universities. The results were as follows:
Morning Evening
Morning Evening
Mean 32 40.625
Variance 89.71428571 504.5536
Observations 8 8
Pearson Correlation 0.343785438
Hypothesized Mean Difference 0
df 7
t Stat -1.152587077
P(T<=t) one-tail 0.143458126
t Critical one-tail 1.894578605
P(T<=t) two-tail 0.286916252
t Critical two-tail 2.364624252
Is there a significant difference between morning and evening access to the university advertisements?
a. Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = .28, p < .05).
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
c. Yes, there was a significant difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15 p < .05).
d. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p < .05).
Answers
Answer:
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
Step-by-step explanation:
The critical value for one tailed test is t ∝(7) > 1.895
A one tailed test is performed to test the claim that advertisements were viewed more in the morning (before noon) or in the evening (after 5pm)
The null and alternative hypotheses are
H0: μm = μe vs Ha μm > μe
where μm is the mean of the morning and μe is the mean of evening.
The calculated value of t = -1.152587077 which is less than the critical region hence the null hypothesis cannot be rejected .
P(T<=t) one-tail 0.143458126 > 0.05
If two tailed test is performed the critical region is t Critical two-tail 2.364624252
and the calculated t value is -1.152587077 which again does not lie in the critical region .
Hence μm = μe or μm ≤ μe
P(T<=t) two-tail 0.286916252 > 0.025
Therefore
b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).
Option b gives the best answer.
please help!!
A city has a population of 220,000 people. Suppose that each year the population grows by 8.75%. What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.
Answers
Answer:
P = 660,592
Step-by-step explanation:
p = [tex]222,000 (1+.0875)^{t}[/tex]
P = [tex]222,000 (1+.0875)^{13}[/tex]
P = 660,592
Mrs. Bollo's second grade class of thirty students conducted a pet ownership survey. Results of the survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and a dog. How many of the students surveyed own only a cat?
a) 18
b) 15
c) None of these answers
d) 8
Answers
Answer:
c) None of these answers
Step-by-step explanation:
8 students own a cat
In this, we count the students who own both a dog and a cat, and the students who own only a cat.
5 students own both a cat and a dog.
So of the 8 who own a cat, 5 own both a cat and a dog, and 8 - 5 = 3 own only a cat.
So the correct answer is given by option c, as 3 is not an option.
hey. I suck at algebra help pls?
Answers
Answer: 8
Hope this helps
The width of the rectangle shown below is 10 inches the length is 4 feet what is the area of the rectangle in square inches
Answers
Hope this helps
In year 13, the scientist will put tree wrap around tree 1 to protect it from the winter snow. The height of the tree wrap needs to be 45 inches.
Answers
Answer:
22 feet²
Step-by-step explanation:
We are given:
height of tree h = 45 inches
Circumference= πd × inches
But d = 22.2inches
Therefore area will be
Area = 22.2π × 45 inches²
Area = 3137 inches²
Let's convert from inches² to feet², we have:
1 foot = 12 inches.
Therefore,
1 square foot = 1foot × 1foot = 12inches×12inches
= 3137inches² / 144 inches²
= 22feet²
Note: I attached missing data which states that diameter at year 13 is 22.2inches
Answer: 22
Step-by-step explanation:
simple
please help me find the area
Answers
Answer:
165 square ft
Step-by-step explanation:
Need to pass please help
Answers
1/10 3/24 so in between these two they add up to 14 and half of 14 is 7 so 7 ft every year
Do 15feet + 20feet + 24feet make a right triangle
Answers
Answer:
It does not make a right triangle
Step-by-step explanation:
To know if these measurements make a right triangle, let's square all values,
15² = 225
20² = 400
24² = 576
Looking at these values, no two values add up that would be equal to one of the values.
Therefore, it does not make a right triangle.
i need y’all help asap
Answers
What is the center of the circle (x + 2)2 + (y - 5)2 = 2.25?
A)
(2,5)
B)
(2,-5)
C)
(-2,5)
D)
(-2,-5)
Answers
Answer:
c
Step-by-step explanation:
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Helppppppppopopoppppp
Answers
Answer:
DG = 30
Step-by-step explanation:
Given:
DH = 6
DE = 4
EF = 16
Required:
DG
Solution:
DG = DH + HG
DG = 6 + HG
Let's find HG
Given that HE is parallel to the third side of ∆DGF, based on the side-splitter theorem, the other two sides of ∆DGF are divided proportionally.
Therefore,
DH/HG = DE/EF
6/HG = 4/16
Cross multiply
HG*4 = 16*6
HG = 96/4
HG = 24
✔️DG = 6 + HG
DG = 6 + 24
DG = 30
