The two numbers rolled can be added to get a sum. Find P(sum is greater than 5).
A. Start Fraction 5 over 6 End Fraction
B. thirteen-eighteenths
C. Start Fraction 5 over 18 End Fraction
D. one-third
Answer:
8/9
Step-by-step explanation:
let the number rolled be two dies
When two dice are rolled, the total outcome will be 6² = 36
The pair that gives a sum of 5 are (1,4), (4,1) ,(2, 3), (3, 2). These gives 4 outcomes.
The pair that gives the sum greater than 5 = 36 - 4 = 32
Pr(sum is greater than 5) = Expected/Total outcome
Pr(sum is greater than 5) = 32/36
Pr(sum is greater than 5) = 8/9
A cylindrical can is to be constructed for 80 cents. The cost of the material used for the top and the bottom is 3 cents per square inch, and the cost of the material used for the curved side is 2 cents per square inch. Express the volume of the can as a function of its radius. (Recall the volume of a cylinder is V
Answer:
V = r(40 - 3πr²)/2
Step-by-step explanation:
We know the area of a cylinder, A = 2πr² + 2πrh where r = radius and h = height.
Now, 2πr² = area of top and bottom and 2πrh = curved surface area
Since the cost of material for the top and bottom is 3 cents per square inch, the total cost of the materials for top and bottom = cost of material × area = 3 × 2πr² = 6πr²
Also, the cost of material for the curved is 2 cents per square inch, the total cost of the materials for the curved side = cost of material × area = 2 × 2πrh = 4πrh
The total cost of material = 6πr² + 4πrh
Since the total cost of material = 80 cents,
6πr² + 4πrh = 80
3πr² + 2πrh = 40 (1)
Now, the volume of a cylinder, V = πr²h
From (1), making h subject of the formula, we have
3πr² + 2πrh = 40
2πrh = 40 - 3πr²
h = (40 - 3πr²)/2πr
Substituting h into V, we have
V = πr²h
V = πr² (40 - 3πr²)/2πr
V = r(40 - 3πr²)/2
A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10
what is the median
A.2
B.4
C.9
D.10
Answer:
5.5
Step-by-step explanation:
We have a list of 10 numbers (n = 10) ordered from lower to higher.
1 2 3 4 5 6 7 8 9 10
The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,
median = 5 + 6 / 2 = 5.5
What is the value of the hypotenus?
Answer:
Step-by-step explanation:
Convert to the given unit. 65 m = cm
Answer:
65m = 6500 Cm.
Step-by-step explanation:
The table shows the number of hours Marcus worked each week and his pay for the week. How much did Marcus earn per hour?
Answer:
$8.5 per hours
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Answer:
8.5
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Large Small
Blue 17 3
Red 8 12
?
Find: P(Red and Small)
Remember to reduce your answer.
Answer:
Step-by-step explanation:
20
The probability of red to small will be equal to 12 / 20.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
It is given that there are 20 blue numbers large are 17 and small are 3. Similarly, there are 20 red numbers large are 8 and small are 12.
The probability of getting a small red number will be calculated as below:-
Probability = Number of favorable outcomes / Number of sample
Number of favorable outcomes = 12
Number of samples = 20
Put the value in the formula above.
Probability = 12 / 20
Therefore, the probability of red to small will be equal to 12 / 20.
To know more about probability follow
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What is the volume of a sphere with a diameter of 32,5 m, rounded to the
nearest tenth of a cubic meter?
Answer:
V≈17974.16
Step-by-step explanation:
Using the formulas
V=4
3πr3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·32.53≈17974.16422
What are the coordinates of the image of ABC after a dilation with center (0, 0) and a scale factor of 1/2 ? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Use numbers 1,2,3,4,5,6
Please help I will give 100 points.
Answer:
A(2,2) _scale factor ½--(1,1)
B(4,6)_scale factor ½--(2,3)
C(6,2)_scale factor ½--(3,1)
is a required coordinate
Scale factor=1/2
Apply and get new coordinates
A'=(1,1)B'=(2,3)C'=(3,1)Evaluate:
2451(4n + 9) = [ ? ]
Please help
Answer:
4545
Step-by-step explanation:
I used a spreadsheet to calculate the value....
n Sum
1 4n+9 13 13
2 4n+9 17 30
3 4n+9 21 51
. .
. .
. .
44 4n+9 185 4356
45 4n+9 189 4545
When converting a percent to a decimal, will there always be two digits after the decimal point? Explain
Answer:
No
Step-by-step explanation:
For example, 50% can be written as just 0.5
I need help with this question please
How can limit be used in real life
Answer:
Engineers use limits in real life.
Step-by-step explanation:
Limits are also used as real-life approximations to calculating derivataves. So to make calculations, engineers will approximate a function using small differences in the function and then try and calculate the derivative of the function by having smaller and smaller spacing in the function sample intervals.
Selena's dog completed an obstacle course that was 452 meters long. There were four parts to the course, all equal length. How long was each part of the course?
Answer:
113 meters long
Step-by-step explanation:
If each part is all equal in length, then each part is 1/4 the total length of the obstacle course. Therefore, each part of the course was 1/4(452)=113 meters long
I am the distance around the circle- it's perimeter WHAT AM I?
Determine whether each ordered pair is a solution of the inequality-3x-4y<6
Answer:
it's (6,0) I can't explain though
please help, I’ll give brainliest to anyone who gets it’s right:) if you send a link, I’ll report sorry! :(
The figures below show the populations of 25 cities randomly selected from the 200 largest
cities in each of two countries. Based on these samples, about how much larger is the
median population of China's 200 largest cities than the median population of India's 200
largest cities?
Answer:
600 000
Step-by-step explanation:
took the same test nav
Luigi recorded the temperature in his garden at diffternt times of the same day
[tex]please tell \: the \: answer[/tex]
Answer:
wdym
Step-by-step explanation:
Please help! I have part of the answer but I need help with the slope and understanding the solution space. Thanks!
3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y<3/4x-1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Step-by-step explanation:
Given the inequalities as
y>-2x+3
y<1/2x-2
Graph the inequalities on the graph tool
The solution is points in the shaded area such as (2,2),(4,4),(4,2),(2,-2),(2,-4)
The point (-2,3) is not included in the solution area because it is located in the un-shaded area.
Mathematically, taking points (-2,3) into the inequality
y>-2x+3
3>-2(-2) +3
3>4+3
3>7---------------------not correct because 3<7
PLEASE HELP ASAP PLEASE I'VE BEEN UP ALL NIGHT TRYING TO DO IT I DON'T UNDERSTAND PLZ HELPP!!
Answer:
Angle COD=40
Step-by-step explanation:
(2a+62)+ (54-a)+(5a-20)=180
6a+96=180
6a=84
a=14
Angle AOC=2(14)+62=90
Angle COD=54-14=40
Angle DOB=5(14)-20=50
Answer:
Angle COD, 40 degrees
Step-by-step explanation:
Alrighty, to start, Angle AOB is a 180 degree angle because it is a line.
Therefore, if we combine all of the variables and numbers together, we can set it equal to 180 degrees to find a.
2a+62+54-a+5a-20
6a+96=180
6a=84
a=14
Next, plug in this value into each of the given angles provided with variables and numbers:
Angle AOB:
2a+62
2(14)+62
28+62
90 degrees
Angle COD:
54-a
54-14
40 degrees
Angle DOB:
5a-20
5(14)-20
70-20
50 degrees
From this, it can be found that Angle COD has the smallest angle, with it being 40 degrees.
The Statistical Abstract of the United States reported the percentage of people age 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.12. How large a sample should be taken to estimate the actual proportion of smokers with a margin of error of 0.02
Answer:
A sample of 1015 should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.12.
This means that [tex]\pi = 0.12[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex]. I used 95% because the confidence level was not given.
How large a sample should be taken to estimate the actual proportion of smokers with a margin of error of 0.02?
This is n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.12*0.88}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.12*0.88}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.12*0.88}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.12*0.88}}{0.02})^2[/tex]
[tex]n = 1014.2[/tex]
Rounding up:
A sample of 1015 should be taken.
Four times the difference of a number and 16.
Answer:
C
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
Suppose we have two independent, normally distributed, populations and we draw a random sample from each population. For population A, we drew a sample of 13 and found the mean to be 17 with a standard deviation of 4. For population B, we drew a sample of 12 with a mean of 19 and a standard deviation of 3. We want to determine if the treatments result in the same effect. Show all work.
Answer:
Since the calculated value of z= -1.421 does not lie in the critical region z >
- 1.96 the null hypothesis is accepted and it is concluded that the treatments result in the same effect.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μa − μb = 0 the treatments result in the same effect
against the claim
Ha: μa − μb ≠ 0 the treatments do not result in the same effect
2) The significance level is set at 0.05
3) The critical region is z = ± 1.96
4) The test statistic
Z= x1`-x2`/ sqrt [( s1²/n1+ s2²/n2)]
Here
x1`= 17 s1= 4 n1= 13
x2`= 19 s2= 3 n2= 12
5) Calculations
Z= x1`-x2`/ sqrt [( s1²/n1+ s2²/n2)]
z= 17-19/sqrt [( 16/13+ 9/12)]
z= -2/1.40739
z= -1.421
6) Conclusion
Since the calculated value of z= -1.421 does not lie in the critical region z >
- 1.96 the null hypothesis is accepted and it is concluded that the treatments result in the same effect.
HELP FILE IS BELOW MATH QUESTION ABOUT ANGLES
Answer:
A
Step-by-step explanation:
In image
l
v
A piece of wood has the dimensions shown. What is the area of the piece of wood?
21 m
2 m
9 m
10 m
12 m
Help pls
Can I get help with this question
Is Y=10x proportional
Answer:
Yes
Step-by-step explanation:
Given that
Y = 10x
we need to find that whether it is a proportional or not
So here we can say that proportional relationship would be expressed in the form of
y = kx
And, k represent the constant
Therefore
y = kx equivalent to Y = 10x
Both the expression is same
Therefore it is proportional
If y varies jointly as x and z and y = 24 when x = 2 and z = 1, find y when x is 12 and z is 2.
A. 288
B. 48
C. 576
D. 144
Answer:
288
Step-by-step explanation:
y= xkz
K= y/xz
= 24/2×1
= 24/2
= 12
y= xkz
= 12×12×2
= 288
Hence the value of y is 288
xhu-ubmc-gcz jo-in mee-t girl-s
Answer:
what is that for
Step-by-step explanation:
what was that
The deterioration of many municipal pipeline networks across the country is a growing concern. One technology proposed for pipeline rehabilitation uses a flexible liner threaded through existing pipe.
The article "Effect of Welding on a High-Density Polyethylene Liner" (J. of Materials in Civil Engr., 1996: 94-100) reported the following data on tensile strength (psi) of liner specimens when a certain fusion process was used and when this process was not used.
No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753
Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902
Compare the mean tensile strengths at the 95% confidence level ...
Perform a COMPLETE APPROPRIATE analysis.
Answer the question of interest, check assumptions, etc.
Answer:
The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level
Step-by-step explanation:
The given data is
No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753
Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902
The calculated Means are
x1`= 2902.8
X2`= 3108.125
The standard deviations are
s1= 277.265
s2= 205.87
We are using Student's t- test
We formulate null and alternate hypotheses are
H0 : u1 - u2= 0 against Ha: u1 - u 2≠0
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≥ t (0.025, 16) = ± 2.120
Degrees of freedom is calculated df = υ= n1+n2- 2= 10+8-2= 16
Here the difference between the sample means is x`1- x`2
=2902.8-3108.125
= -205.325
The pooled estimate for the common variance σ² is
Sp² = (n1-1) s1² + (n2-1) s2²/ n1+n2-2
= 9( 277.265)² + 7(3108.125)²/ 16
Sp² = 691,882.922+67,623,087.109/16
Sp= 2066.321
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= -205.325/ 2066.321 √1/10+ 1/8
t= -205.325/980.142
t= -0.2095= -0.21
Conclusion
The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level