Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.
Answer:
The answer is "0.1040"
Step-by-step explanation:
Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]
[tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]
A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?
Answer:
It would be a 2/9 chance.
Step-by-step explanation:
So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.
With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.
Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.
With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.
Now, combine these two probablities by multipliying them and you've got your answer!
5/10 * 4/9 = 20/90 ---> 2/9
PLEASE HELP IT'S URGENT!!!
The coordinate grid shows the graph of four equations:
A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (1, 2) as its solution? (5 points)
Select one:
a. A and D
b. C and D
c. A and C
d. B and D
Answer:
C. A and C
Both pass by (1,2)
Can someone please help me with math. I know the pic is blurry but can you try your best please.
Answer:
A
Step-by-step explanation:
Step 1, Identify the coordinates of each vertices in the pre image
A ( -2 , 3 )
B ( 1 , 3 )
C ( 3 , -6 )
D ( -4 . -6 )
Step 2 apply dilation.
To apply the dilation we multiply the x and y values by the scale factor. ( assuming that the dilation is about the origin. )
The scale factor is 2 so we multiply the x and y values of the coordinates by 2, which is as simple as it sounds.
A ( -2 , 3 ) -------> A' ( -4 , 6 )
B ( 1 , 3 ) --------> B' ( 2 , 6 )
C ( 3 , -6 ) ---------> C' ( 6 , -12 )
D ( -4 , -6 ) ----------> D' ( -8 , -12 )
Hence the new coordinates are A' ( -4, 6 ), B' ( 2 , 6 ), C' ( 6 , -12 ), D' ( -8 , -12) Which corresponds with answer choice A
Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is
Answer:
Step-by-step explanation:
the geo. mean is the nth root of the product of n numbers
Here there are two numbers; geo. mean is the square root of their product
g = √(16 * 36)
g = 4 * 6
g = 24
Geometric mean is the mean which is the average of a set of a product.
The geometric mean of the given numbers is 24.
What is geometric mean?Geometric mean is the mean which is the average of a set of a product.
It can be given as,
[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]
Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.
Given information-
The numbers given in the problem is 16 and 36.
The Geometric mean for the number 16 and 36 has to find out.
Use the above formula to find the geometric mean for the number 16 and 36. Thus,
[tex]\prod=\sqrt{16\times36}[/tex]
[tex]\prod=\sqrt{576}\\\prod=24[/tex]
Hence the geometric mean of the given numbers is 24.
Learn more about the geometric mean here;
https://brainly.com/question/47038
the area of a rectangle is x^2 - 13x + 30 find the dimensions and area of the rectangle of the perimeter is 30
Answer:
The area and perimeter of a rectangle work with steps shows the complete step-by-step calculation for finding the perimeter, area and diagonal length of the rectangle with the length of 5 in 5 i n and the width of 10 in 10 i n using the perimeter, area and diagonal length formulas.
Step-by-step explanation:
Simplify -2.3f + 0.8f - 16 - 3
Answer:
− 1.5 f −19
that's the correct answer.
Find x for this problem
11
11
10
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Identify the area of the trapezoid.
Answer:
A = 37.5
Step-by-step explanation:
The formula for finding the are of a trapezoid is (a + b)/2(h)
a = base
b = base
h = height
A = (6.1 + 8.9) / 2(5)
A = 37.5
Answer:
The answer is 37.5.
Step-by-step explanation:
The area for a triangle is A=1/2 bh.
In this case, we have 2 triangles, so we just make it one rectangle.
Each triangle is (1.4*5)/2. (1.4*5)*2/2=7.
You do 2/2 because the half and the two triangles cancel out.
6.1*5=30.5.
30.5+7=37.5
Let f (x) = 1/ x-3and g(x) = x+5. What is the domain of (fºg)(x)?
Answer:
I can't find that file. please give it again.
Find the volume help me pls and thank
Answer:
Volume = 14.333
Step-by-step explanation:
Answer: 14.34 cm^3
Step-by-step explanation:
V = lwh
V = 3.2 cm x 2.8 cm x 1.6 cm
V = 14.34 cm^3
Melissa has 120 vanilla cake pops to sell. Each vanilla cake pops is covered with one topping. 1/2 of the cake pops are covered with chocolate sprinkles. 1/3 of the cake pops are covered with strawberry sprinkles. * the rest are covered with green sprinkles. How many cake pops are covered with green sprinkles?
Answer:
The Answer is 20 cake pops are covered with green sprinkles.
Step-by-step explanation:
So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:
Chocolate: 1/2=3/6
Strawberry:1/3=2/6
The rest are Green sprinkles.
So, your equation would be:
Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total
And their are 5/6 of Chocolate and Strawberry Sprinkles...
That would mean 100 Chocolate and Strawberry Sprinkles!
Because 1/6 of 120 is 20 and multiply that by five and you have 100...
Now that we have that, and we know the rest are green...
we just do 120-100=20
So their you go!
Sorry its long but hope it helps! <3
The tables show the number of hours students
studied and the number of questions answered
correctly on a quiz. Which table shows a
proportional relationship?
Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.
Answer:
Proved , since LHS= RHS
Step-by-step explanation:
We need to prove the given expression ,
=> 1 + cos x / 1 + sec x = cos x
Simplifying LHS.=> 1 + cos (x) / 1 + sec (x)
=> 1 + cos (x) / 1 + 1/cos (x)
=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)
=> 1 + cos (x) × cos(x) / { 1 + cos (x) }
1 + cos (x) gets cancelled . So we are finally left out with ,=> cos (x)
= RHS
Hence proved !What is 5 to the 6 power divided by 3794.3?
Answer:
4.11801913396
Step-by-step explanation:
Heart me pls
CAN ANYONE TELL ME HOW TO DO THIS???
Answer:
108
Step-by-step explanation:
A straight line has an angle of 180, so to find <4 you need to subtract <2 from 180. So, 180 - 72 = 108.
What are the answer please number which question you are answering
Answer:
7.
This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:
b + 52 = 90
b = 38.
Therefore, b is 38 degrees.
8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:
b + 117 = 180
b = 63
Therefore, b is 63 degrees.
9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:
b + 125 = 180
b = 55
Therefore, b is 55 degrees.
Translate the expression: 3 times the difference between 7 and
g is 90
Answer:
3(7-g)=90
You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.
how is 4(x+3) equal to 12+4x
Answer:
When distributed, 4(x+3) = 12+4x
How do you do this ??????????????????????
Answer:
b
Step-by-step explanation:
you can take the rectagel and you x the rectagel
What number do I use for pi
3.14. so yeahhhhhhhhhhhhhhhhh
Show by a rough sketch that there are four points which are at a distance of 2cm from the
given line AB and 3cm from the point A.
Answer:
.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Step-by-step explanation:
Can you plz help me!!!!!!!!!!!!!!!!!!!!!!!
Answer:
10 ft
Step-by-step explanation:
This is the Pythagorean theorem. a²+b²=c².
8²=64
6²=36
Now we add 64+36=100. Square root 100 to get 10 ft. (The answer is squared before so we have to square root it)
THINK ABOUT WHETHER THEY ARE ASKING FOR CURCUMFERENCE OR AREA If you want to Make sure to have the most pizza which would you rather two 12 inch medium or one 18 inch large. Justify your answer mathematically
Answer:
The maximum pizza quantity would be with the pizza of 18 inch
Step-by-step explanation:
The size of the pizza in inches depicts its diameter.
Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch
In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.
For instance
Area of 18 inch pizza
[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch
Area of 12 inch pizza
[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch
Circumference of 18 inch pizza
[tex]2*3.14*9 = 56.52[/tex]
Circumference of 12 inch pizza
[tex]2*3.14*6 = 37.68[/tex]
Find the surface area of the prism 12in 7in 5in
Answer:
Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula
Step-by-step explanation:
Find the area of the Regular Octagon below and show all mathematical reasoning.
9514 1404 393
Answer:
200√2 square units
Step-by-step explanation:
The area of a regular polygon with n sides and radius r is given by the formula ...
A = (n/2)r²·sin(360°/n)
Here, we have n=8 and r=10, so the area is ...
A = (8/2)(10²)sin(360°/8) = 4·100·√2/2
A = 200√2 . . . square units
Which situation is most likely to have a constant rate of change?
Answer:
It's C ez claps
Step-by-step explanation:
A bag contain 3 white balls, 4 blue balls and 2 red balls. Two balls are to be taken at random from the bag. The first ball is not replaced before the secod one is taken. Find the probability that
a) the first ball taken will be blue
b) both balls taken will be blue
c) both balls taken will be the same colour
Answer:
a)the first ball taken will be blue
Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?
Answer:
4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense
4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8
Answer:
b > -15
Step-by-step explanation:
4b - 12 - 55 < 9b + 8
Combine terms.
4b - 67 < 9b + 8
Subtract 9b from both sides.
-5b - 67 < 8
Add 67 to both sides.
-5b < 75
Divide both sides by -5. When dividing by a negative, flip the sign.
b > -15.