Answer:
the answer is c
Step-by-step explanation:
I promise
Marcos has 15 coins in nickels and quarters. He had 3 more quarters than
nickels. How many nickels and quarter does he have?
Sean traded 1/7 of his baseball cards. What percentage of his baseball cards did Sean trade?
Answer:
Step-by-step explanation:
14%
A fair die, with its faces numbered from 1 to 6, is one in which each number is equally likely to land face up when the die is rolled. On a fair die, the probability that the number 6 will land face up is 16. A group of students wanted to investigate a claim about manipulating a fair die so that it favors one outcome. The claim states that if a fair die is put into an oven and baked at 200°F for 10 minutes, the inside of the die will begin to melt. When the die cools, the inside will be solid again, but with more weight toward the bottom. This shift in weight will cause the face that was up when the die cooled to land up more often that the other faces.
The students obtained a fair die and baked it according to the preceding directions. The die cooled with the number 6 face up. After the die cooled, they rolled the die 200 times, and the number 6 landed face up 43 times. Let p represent the population proportion of times the number 6 will land face up on the baked die if the die could be rolled an infinite number of times.
(a) Clarke, one of the students, constructed a 95 percent confidence interval for p as 0.215±0.057. Does the interval provide convincing statistical evidence that the number 6 will land face up more often on the baked die than on a fair die? Explain your reasoning.
(b) Aurelia, another student, suggested they conduct a significance test to investigate the claim. She tested the hypotheses H0:p=16 versus Ha:p>16 at the significance level of α=0.05. She obtained a test statistic of 1.83 with a p-value of 0.033. Do the results of the significance test agree with the results of Clarke’s confidence interval in part (a)? Explain your reasoning.
(c) Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L. The formula for L is L=pˆ+z∗pˆ(1−pˆ)n−−−−−√.
(i) Determine the values of z∗ needed to create the one-sided 95 percent confidence interval. Then calculate the value of L.
(ii) Do the results of Joachim’s one-sided confidence interval agree with results of Aurelia’s significance test in part (b)? Explain your reasoning.
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
A beetle was running along a number line...The the bug ran from 13 to 57. What distance did it cover?If it took the bug 5 seconds, what was its average speed?
Answer:
8.8
Step-by-step explanation:
57-13=44
so the distance is 44 considering that it's on a number line.
Average speed = distance ÷ Time
44÷5=8.8
One Positive number is five times another number the difference between the two numbers is 172 to find the numbers
Answer:
x= 43, y=215
Step-by-step explanation:
Let one number be x,
Let the other number be y.
x= 5y
x - y= 172
Putting value of x in equation 2.
5y - y = 172
4y = 172
y= 172/4
y= 43
Putting value of y in eq. 1
x= 5(43)
x=215.
A trapezoid has a base of 5cm, a height of 4cm. What is the area?
Answer:
area = 16 cm²
Step-by-step explanation:
area of rectangle = 3x4 = 12
area of triangle = 2x4x0.5 = 4
12 + 4 = 16 cm²
another way is :
1/2(b1+b2)(h) = area
1/2(3+5)(4) = 16 cm²
help me I'm really swamped
{H,o,n,l,u}
Just take away all the duplicate letters and voila. funny that i did that question yesterday.
50! POINTS! HELP QUICK!
Which of the following is the equation for the graph shown?
y squared over 4 minus x squared over 12 equals 1
y squared over 16 minus x squared over 12 equals 1
x squared over 4 minus y squared over 12 equals 1
x squared over 16 minus y squared over 12 equals 1
50 points!
The total area of a rectangle is represented by (x²+9 x+18) sq units.Find the expression for the dimensions of the rectangle.
Answer:
x+3 units and x+6 units
Step-by-step explanation:
Give the total area of a rectangle is represented by (x²+9 x+18) sq units.F
Factorize
x²+9 x+18
- x^2 + 6x + 3x + 18
= x(x+6) + 3(x+6)
= (x+3)(x+6)
Since Area = Length * Width
The dimensions of the rectangle are x+3 and x+6 units
A minibus sets off at 7.30 am and arrives
at its destination at 11.45 am.
How long did the journey take?
Answer:
4 hours and 15 minutes
Step-by-step explanation:
A square playpen has sides that are 4 feet long. What is the playpen's area?
Answer:
16
Step-by-step explanation:
In a class of 40 students, the number of girls is 10 more than the number of boys. We have to find the number of girls and the number of boys in the class.
Let’s represent the number of girls by g, and the number of boys by b. Write the pair of linear equations you will get in g and b :
Answer:
b=15 g=25
Step-by-step explanation:
lets translate that story problem to mathematics equations
the problem told that no. of girls are 10 more than no of boys so this will =
g=b+10
then in class there are 40 students that means
g+b=40
now we have to equations with two variables then we should substitute
(b+10)+b=40
lets remove the brackets
2b+10=40 subtract 10 from both sides
2b=30 now divide both by 2
b=15 so g=25 after you write the equation once again with the new proof or number
what is the name of the polynomial 7x+1 ?
Answer:
binomial
Step-by-step explanation:
HEPL A BROTHER OUT PLS 18 POINTS
Answer:
She didn't put the negitive in the 2. the 2 bottom boxes should be '-8x' & '-6' which in the end simplyfis to 4x² - 5x - 6
Step-by-step explanation:
10=2x+12
What’s the steps
Answer: i got 10
Step-by-step explanation:
what ud o is 2x+12 let me see
Here is a picture of a cube and the net of this cube what is the surface area of this cube enter your answer in the box
Answer:
Step-by-step explanation:
a = 12 mm
Surface area of cube = 6a²
= 6 * 12 * 12
= 864 cubic mm
PLEASE HELP (COMPLETE QUESTION B) 5TH GRADE MATH. GIVING AWAY BRAINLIEST
Answer:
Now that you have a completed table, you will have the coordinates (0, -3), (1, -1), and (2, 1). Mark these points on the coordinate grid and draw a straight line through the origin, (0, 0). Use part a as your advantage to answer part b.
173 The midpoint between x and a is m. What is x ?
If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].
Hope this helps.
Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.
Answer:
Step-by-step explanation:
line 1 is H
line 2 is C
line 3 is D
line 4 is G
:)
What is the greatest common factor of all the terms: 6m and 18
Answer: 6
Step-by-step explanation:
Help! I need to answer this on edge
your answer will be A
The function y=3x is growing slower than y=3^x
Step-by-step explanation:
hope it helps you
have a great day!!
roshaun has saved 150$ and continues to add 10$ each week. Keegan starts with 0$ and saves 25$ each week. In how many weeks will they have the same amount of money?
Answer:
10 weeks
Step-by-step explanation:
Create a system of equations demonstrating Roshaun and Keegan's savings.
Roshaun: 150 + 10x Keegan: 0 + 25xLet x equal the number of weeks they save their money.
In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.
150 + 10x = 25xSubtract 10x from both sides of the equation.
150 = 15xDivide both sides of the equation by 15.
x = 10In 10 weeks, Roshaun and Keegan will have the same amount of money.
Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d?
0 7 in
0 14 in.
d-11-
0 22 in
044 in
Answer:
44
Step-by-step explanation:
because yea
2/8 of 24=
2/8 times 24=
Answer:
2/8 of 24 is 6
2/8 times 24 is 6 also
Four times the sum n plus 10 is 34 what is the value of n?
Answer:
4(10+n)=34
40+4n=34
4n=-6
n=-6/4=-3/2
Step-by-step explanation:
Answer: 4n+40=34
Step-by-step explanation:
I got it right
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
59.3
Step-by-step explanation:
First find the area of the the right triangles
5 * 4 / 2 = 10
Multiply it by 2 since there are 2 right triangles that are the same
10 * 2= 20
Then find the area of a semi circle
The radius is 5
π5^2 / 2= 39.27
39.27 rounded to the nearest tenth is 39.3
Add them together
20 + 39.3 = 59.3
59.3 is your answer
In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need?
Answer:5 * (1/2 * 6 * 14)= x
Step-by-step explanation: :D
Help Please!!!!!!!!!!!!
Graph x>4.
Answer:
graph
Step-by-step explanation:
What is the prime factorization of 120
Hurry I really need it I have a timer
Answer:
228 m^2
Step-by-step explanation:
I rly hope im not to late
base is 6x6=36
each side is 8x6=48
48x4=192
192+36=228