Answer:
1) a. CI = 0.426 < p < 0.574
2) c. CI = 2.74% < p < 6.524%
3) a. CI = 20 < μ < 22
4) c. CI = 81.11 < μ < 85.09
5) b. CI = 76.21 < μ < 89.79
6) d. $453.59 < μ < $874.69
7) d. CI = $559 < σ < $1953.3
8) c. CI = $3.96 < σ < $6.72
9) c. 6.22 ft < σ < 12.59 ft
10) d. 0.19 oz < σ < 0.72 oz
Step-by-step explanation:
The Confidence Interval, CI are given as follows
For the population proportion
[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]
1) [tex]\hat p[/tex] = 55/110 = 0.5
z at 88% = ±1.56
a. CI = 0.426 < p < 0.574
2) [tex]\hat p[/tex] = 31/669 = 0.5
z at 98% = ±2.326
c. CI = 2.74% < p < 6.524%
3) Here we have unknown population standard deviation, so we find the t interval
[tex]\bar x[/tex] = 21
n = 130
s = 3.0
Confidence level = 98%
[tex]CI=\bar{x}\pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]
[tex]t_{\alpha /2}[/tex] = ±2.356
CI = 20.380 < μ < 21.62
Rounding up gives;
a. CI = 20 < μ < 22
4) Similarly here we have;
[tex]t_{\alpha /2}[/tex] = ±1.699 and
c. CI = 81.11 < μ < 85.09
5) Here
[tex]\bar x[/tex] = 83
s = 13.5
n = 30
Confidence level = 99%
[tex]t_{\alpha /2}[/tex] = ±2.76 and
b. CI = 76.21 < μ < 89.79
6) In the question, we have
[tex]\bar x[/tex] = $664.14
s = $297.29
n = 14
Confidence level = 98%
[tex]t_{\alpha /2}[/tex] = ±2.65 and
CI = $453.56 < μ < $874.72
d. $453.59 < μ < $874.69
7) The confidence interval for a population standard deviation is given by the following relation;
[tex]\sqrt{\frac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\frac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]
Here
n = 9
x = $3959
s = $886
Therefore we have
d. CI = $559 < σ < $1953.3
8) Here we have;
n = 41
x = $108
s = $5
Therefore;
c. CI = $3.96 < σ < $6.72
9) Here we have;
n = 29
x = 65 ft
s = 8.5 ft
Therefore we have
CI = 6.3 ft < σ < 12.73 ft
c. 6.22 ft < σ < 12.59 ft
10) Here we have
n = 8
s = 0.301188123
d. 0.19 oz < σ < 0.72 oz.
A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.
P(C | D) = 0.78
P(D | C) = 0.44
P(C ∩ D) = 0.11
P(C ∩ D) = P(D ∩ C)
P(C | D) = P(D | C)
Answer:
B C D
Step-by-step explanation:
ED 2020
Answer:
B: P(D | C) = 0.44
C: P(C ∩ D) = 0.11
D: P(C ∩ D) = P(D ∩ C)
next is C: 2/9
then C: P(Y | X) = P(Y)
and F: P(X | Y) = P(X)
next is
10/26
5/14
not independent
Step-by-step explanation:
edg2021
Vehicle A gets 39 miles per 1.5 gaons of fuel. How many miles could it get on 3.5 gallons of fuel
Answer:
91 miles
Step-by-step explanation:
Let's make a proportion
miles/gallons=miles/gallons
The vehicle gets 39 miles on 1.5 gallons, and x miles on 3.5 gallons
39 miles/1.5 gallon= x miles/3.5 gallons
39/1.5=x/3.5
Now, we need to solve for x. To do this, we have to get x by itself. x is being divided by 3.5 To undo this, multiply both sides by 3.5, because multiplication is the opposite of division.
3.5*39/1.5=x/3.5*3.5
The 3.5s on the right cancel, so we are left with:
3.5*39/1.5=x
3.5*26=x
91=x
The vehicle gets 91 miles on 3.5 gallons of fuel
What’s the solution to #3
Answer:
6.687898089 = r
Step-by-step explanation:
#3 Circumference is given by
C = 2 * pi *r
We know the circumference is 42
42 = 2 * pi *r
Divide each side by 2 pi
42/2pi = 2pir/ 2pi
21/pi = r
Approximating pi by 3.14
21/3.14 = r
6.687898089 = r
Cannot read in the instructions what to round to
Answer:
The answer is 6.68451
Step-by-step explanation:
-4 + k/ 2 = -7 Please help guys!
Answer:
k=-6
Step-by-step explanation:
hey again hope this helps mark me brainliest
Answer:(happy to help)
k=−6
Step-by-step explanation:
Let's solve your equation step-by-step.
−4+k2=−7Step 1: Simplify both sides of the equation.−4+k2=−7−4+12k=−712k−4=−7
Step 2: Add 4 to both sides.12k−4+4=−7+412k=−3
Step 3: Multiply both sides by 2.2*(12k)=(2)*(−3)
k=−6
Which improper fraction shows the value of the shaded portion of the image?
Five-fourths
StartFraction 39 over 5 EndFraction
StartFraction 37 over 5 EndFraction
StartFraction 39 over 8 EndFraction
Answer:
i dont know
Step-by-step explanation:
Answer:
I believe it is 39/8
and I got it right on edge 2020
To solve the system of linear equations 8 x + 5 y = 18 and 6 x + y = negative 2. by using the linear combination method, Amos decided that he should first multiply the second equation by –5 and then add the two equations together to eliminate the y-terms. His calculations are as shown. 8 x + 5 y = 18. + 6 x minus 5 y = 10. 14 x = 28. StartFraction 14 x Over 14 EndFraction = StartFraction 28 Over 14 EndFraction. X = 2. 6 x + y = negative 2. 6 (2) + y = negative 2. 12 + y = negative 2. 12 + y minus 12 = negative 2 minus 12. y = negative 14. Amos’s solution is (2, –14). What did he do wrong? He multiplied the equation 6 x + y = negative 2. by –5 incorrectly. He added the equations 8 x + 5 y = 18 and 8 x + 5 y = 18 incorrectly. He substituted 2 into the equation 6 x + y = negative 2. incorrectly. He solved the equation 12 + y = negative 2 for y incorrectly.
Answer:
(A)He multiplied the equation[tex]6x+ y = - 2[/tex] by –5 incorrectly.
Step-by-step explanation:
To solve the system of linear equations:
8 x + 5 y = 186 x + y = -2.Part of Amos' calculations is shown:
8 x + 5 y = 18.
6 x -5 y = 10.
When you multiply 6x+y =-2 by -5, we have the expression:
-30y-5y=10.This was not Amos' result as he got 6 x -5 y = 10.
Therefore, he multiplied the equation[tex]6x+ y = - 2[/tex] by –5 incorrectly.
The correct option is A.
What is the domain of this function?
the domain is your x coordinates or for this problem 1 2 3 4
Wyatt was cleaning his room and found 57 books under his bed he stacked the on his desk each stack had the same number of books in it and no stack had fewer than 5 books how many stacks did Wyatt make and how many books were in each stack
Answer:
19 books in 3 stacks
Step-by-step explanation:
57 divided by 3 equals 19
Wyatt could make either 19 stacks with 3 books each or 3 stacks with 19 books each, as these are the factors of 57 greater than 5.
The question is asking how many stacks of books Wyatt made if he found 57 books and placed them on his desk in stacks that all contained the same number of books, and each stack had no fewer than 5 books. We can solve this problem through the process of division, which involves dividing the total number of books by the number of books in each stack. To find out how many stacks Wyatt made and how many books are in each stack, we need to look for factors of 57 that are 5 or greater. The possible factors are 1, 3, 19, and 57. However, since each stack must have at least 5 books, the only feasible number of books per stack that will work are 3 and 19. Therefore, Wyatt could either make 19 stacks of 3 books each or 3 stacks of 19 books each.
Persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not. Make sure to state reasons for or against your belief.
Answer:
Yes!
Step-by-step explanation:
In Pythagorean Triples, the two legs always have to add up to be a greater number than the hypotenuse. In this case, 12 and 16 are the legs and 20 is the hypotenuse. The sum of 12 and 16 is 28. That is more than 20, so 12, 16 and 20 make a right triangle. I hope this helps you!
Final answer:
The numbers 12, 16, and 20 satisfy the Pythagorean Theorem, confirming that they indeed form a right triangle, as the sum of the squares of 12 and 16 is equal to the square of 20.
Explanation:
To persuade Mr. Zorn whether the numbers 12, 16, and 20 make a right triangle or not, we need to use the Pythagorean Theorem, which is a fundamental principle in Euclidean plane geometry that applies to right triangles. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed as c² = a² + b², where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.
For the given numbers 12, 16, and 20, we need to determine if 20² equals 12² + 16²:
12² = 144
16² = 256
20² = 400
Now, add the squares of the lengths of the two smaller sides:
144 + 256 = 400
Indeed, the sum of the squares of 12 and 16 equals the square of 20, which confirms that these side lengths do form a right triangle according to the Pythagorean Theorem. Thus, the numbers 12, 16, and 20 do in fact make a right triangle.
If A has coordinates (2, –1) and B has coordinates (–1, 1), what are the coordinates of the midpoint of AB¯¯¯¯¯¯ ?
Answer:
The midpoint of AB is (0.5,0)
The coordinates of the midpoint of AB are (1/2, 0).
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
To find the midpoint of a line segment, we average the coordinates of the endpoints.
The x-coordinate of the midpoint is the average of the x-coordinates of A and B, which is:
(2 + (-1)) / 2 = 1/2
The y-coordinate of the midpoint is the average of the y-coordinates of A and B, which is:
(-1 + 1) / 2 = 0
Therefore, the midpoint of AB is (1/2, 0).
Learn more about the midpoint here :
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Which are the same as 26?
Choose all answers that apply
A 10+10+10+10+10+10+1+1
B 10+10+6
C 20+60
D 10+10+1+1+1+1+1+1
Answer:
B and D
Step-by-step explanation:
3) The Morgan’s are replacing the flooring in their kitchen with ceramic tiles. They are deciding between 18 inches square tiles and 6 inches square tiles. What is the difference of the area of the two tiles they are considering?
with the 18 inch square tiles, you would cover an area of 324 in^2
with the 6 inch square tiles, you would cover an area of 36 in^2
The difference in area between an 18-inch square tile and a 6-inch square tile is 288 square inches.
The question revolves around the difference in area between two different sized ceramic tiles. To calculate the area of a tile, we use the formula Area = length imes width. Since tiles are square, the length and width are the same. For an 18-inch tile, the area is 18 inches × 18 inches, and for a 6-inch tile, it's 6 inches × 6 inches.
The area of the 18-inch tile is:
324 square inches (because 18 × 18 = 324)
The area of the 6-inch tile is:
36 square inches (because 6 × 6 = 36)
The difference in area between the two tiles is:
288 square inches (because 324 - 36 = 288).
Can someone help me ASAP!!!
Answer:
Slope= -7
Step-by-step explanation:
I like to use the rise/run method.
Take the point at (1,-2) and count up to (1, 7). Then because it is going left, you count your run over 3 points. Or you could do.
[tex]\frac{y2-y1}{x2-x1} = slope[/tex]
Answer:
-The slope of the following graph:
[tex]m = 3[/tex] or [tex]m = -3[/tex]
Step-by-step explanation:
-To find the slope you need this:
[tex]m = \frac{rise}{run}[/tex]
-So, according to graph the it shows that there are two point (1,-2) and (-2,7). To start from the first point to the second point, you need to count how far up or down (vertical) and how left or right (horizontal):
Rise: 9
Run: 3
or
Rise: 9
Run: -3
After you have the rise and the run, you need to solve the equation in order to get the slope:
[tex]m = \frac{9}{3}[/tex] or [tex]m =\frac{9}{-3}[/tex]
[tex]m = 3[/tex] or [tex]m = -3[/tex]
So, therefore the slope of the following graph is [tex]m = 3[/tex] or [tex]m = -3[/tex].
Geometry Question Help please
Ans
It 1750
Step-by-step explanation:
You have to multiple
Mais teacher gives 4 quizzes each worth 5 points after three quizzes she has the score 4, 3, and 4. What does she need to get on her last quiz to have a mean score of 4
Answer:
5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
Step-by-step explanation:
Mean is the average of a set of data, it is the sum of the data divided by the number of data.
To have a mean of 4 from 4 quizzes;
Let x represent the total;
mean = x/4
4 = x/4
x = 4 × 4 = 16
To have a mean of 4 he must have a total score of 16.
Let y represent her score in the last quiz;
16 = 4+3+4+y
16 = 11+y
y = 16-11 = 5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
The teacher needs to get a score of 5 on her last quiz to have a mean score of 4.
To find out what score the teacher needs on the last quiz to have a mean score of 4, we can use the formula for mean (average):
Mean = (Sum of all scores) / Number of quizzes
Given:
- The teacher has taken 3 quizzes with scores of 4, 3, and 4.
- The mean score she wants is 4.
- Each quiz is worth 5 points.
Let x be the score she needs on the last quiz.
Sum of all scores = 4 + 3 + 4 + x = 11 + x
Number of quizzes = 4 (as she takes 4 quizzes in total)
Now, we can set up the equation and solve for x:
Mean = (Sum of all scores) / Number of quizzes
4 = (11 + x) / 4
4 * 4 = 11 + x
16 = 11 + x
x = 16 - 11
x = 5
Therefore, the teacher needs to get a score of 5 on her last quiz to have a mean score of 4.
what is the domain of the exponential function y=6^x
Answer:
it is (all real numbers) or R
Step-by-step explanation:
Using function concepts, it is found that the domain of the exponential function is composed by all real numbers.
The domain of a function is the data-set that contains all possible input values.The exponential function does not have an impediment such as a even root or a denominator by itself, so, it's domain is composed by all real numbers.In the graph sketched at the end of this answer, it can be seen that the function is defined for all values of x, which also indicates the domain is composed by all real numbers.
A similar problem is given at https://brainly.com/question/4175434
Carla can choose two of her three pairs of sneakers to take to a track meet. If the pairs of sneakers are called A, B, and C, which choice represents the sample space, S, for the event?
Answer:
s= {AB,AC,BC} edge. 2020
Step-by-step explanation:
i just did the question and it was correct
PLEASE HELP ASAP!!! 2. Calculate the volume of this solid using the formula V=Bh (all angles are 90 degrees).
Answer:
V = 27/64 cubic inches
Step-by-step explanation:
Given the information in the photo:
The height: 3/4 inThe length : 3/4 inThe width : 3/4 inThe volume of this solid using the formula
V=Bh where:
h is the height B is the area of the base = The length * The width=> The volume of this solid is:
V = 3/4 * 3/4 * 3/4
<=> V = 27/64 cubic inches
Hope it will find you well
A 2 m surfer is standing 12 m away from the lifeguard station. He wants to go to the Burger Shack for lunch. The Burger Shack is 14 m tall. How far away is it from the lifeguard station?
Answer:
72 meters
Step-by-step explanation:
If we take into account the relationship between the data of the problem, we have a relationship between heights and distances.
Between the height would be between the surfer and burger shack, and the known distance of 12 between the surfer and the lifeguard station.
we have the following relationship
2/14 = 12 / x
x = 14 * 12/2
x = 84
but this would be the distance between the surfer and burger shack, the distance we need would be:
84 - 12 = 72
it means that between burger shack and the lifeguard station there are 72 meters
calvin invested $1000 earning 6% interest compounded annually.how much interest did he earn in 8 years? round to the nearest tenth
Answer: 1593.85(brainliest?)
Step-by-step explanation:
1.06 to the 8 power times 1000 is 1593.85
A cylindrical feed silo has a diameter of 45 feet and a height of 30 feet. What is the volume of the largest sphere that will it into the game
A) 10677.9 Ft^ 3
B) 14,237.2 Ft^3
C) 42,711.6 Ft^3
D) 47,712 Ft^3
Answer:
The correct volume of the largest sphere that fits inside the silo is 14,137.2 ft³
Step-by-step explanation:
Since the sphere must feet inside the silo it's diameter must be at most 30 feet, therefore it's radius is 15 feet. To calculate the volume of the sphere we can use the appropriate formula:
Volume = (4/3)*pi*r³
Volume = (4/3)*3.14*(15)³
Volume = 14137.2 ft³
The correct volume of the largest sphere that fits inside the silo is 14,137.2 ft³. The nearest option would be B.
Final answer:
The volume of the largest sphere that can fit into the cylindrical feed silo is calculated using the formula for the volume of a sphere, resulting in 47,712 ft³, which corresponds to option D.
Explanation:
The question asks for the volume of the largest sphere that can fit into a cylindrical feed silo with a diameter of 45 feet and a height of 30 feet. To find the volume of the sphere, we need to consider the diameter of the cylinder because the diameter of the silo will be the same as the diameter of the sphere that can fit inside it. Hence, the radius of the sphere (and cylinder) is half of the diameter, which is 22.5 feet. The formula for the volume of a sphere is V = (4/3)πr³. Substituting the radius into the formula gives us V = (4/3)π(22.5)³ = 47,712 ft³.
a science club has 25 members 40% are girls. how many girls are in science club
Answer:
10 members are girls.
Step-by-step explanation:
Turn 40% into a decimal: 0.40
If you read 40% of 25, of means to multiply so you multiply
0.40 x 25
and you get 10. so
10 members of the 25 are girls.
Hope that helped :))
The science club has 10 girls.
The question is asking us to calculate the number of girls in a science club where 40% of the members are girls. Since the science club has a total of 25 members, we would find 40% of 25 to determine the number of girls. To find 40% of a number, you multiply the number by the percentage expressed as a decimal. In this case, 40% is the same as 0.40.
So the calculation would be:
25 members x 0.40 = 10 girls
Therefore, there are 10 girls in the science club.
Simplify: 64r^8
8r^2
8r^4
32r^2
32r^4
Answer:
8r^4
explanation:
Find the value of x below
Answer:
x=58 degrees
Step-by-step explanation:
The angle DB is equal to 90 degrees, so if you subtract 32 from 90 you get x, which is 58.
What is the total number of outcomes for choosing a number from 1 to 10 in a day of the week use the fundamental counting principle
Answer:
Total number of outcomes in a week = 70
Step-by-step explanation:
Given:
Total number of outcomes = 10
Outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Number of days in a week = 7
Find:
Total number of outcomes in a week
Computation:
Total number of outcomes in a week = Total number of outcomes in a day × Number of days in a week
Total number of outcomes in a week = 10 × 7
Total number of outcomes in a week = 70
Find the radius!
Surface Area = 1,139.82 yd?
radius =
13 yd
O
12 yd
O 11yd
O
10 yd
Answer:
10
Step-by-step explanation:
A=4πr^2
r=√(A/4π)
r=√(1139.82/4π)
r=9.5=10 yd
Answer:
11 yd
Step-by-step explanation:
SA = 3[tex]\pi[/tex]r²
1139.82 = 3 × 22/7 × r²
r² = 1139.82/66 × 7
r² = 120.81
r = 10.99 = 11 yd
if xy=0, what must be true about either x or y
Answer:
either x or y must equal 0
Step-by-step explanation:
ts given that xy = 0
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied to any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
Hence, the condition which has to be true in all cases for xy = 0 is:
either x or y must equal 0
Given that xy = 0.
Remember that product of two numbers can be zero only if:
Both of them are zero or Either of them is zero as zero multiplied by any non-zero number will always be equal to zero. This is known as Zero Product Property.
So, if the product of x and y is equal to 0 there are two possibilities:
Both x and y are equal to 0
Either x or y must be equal to 0
Note that the condition both x and y are equal to zero is not a must condition, because even if one of them is equal to zero, the entire expression will be equal to zero.
How can we say an expression is zero?A rational expression is zero when the numerator is zero. To find the values that make a rational expression zero, we set the numerator equal to zero and solve the resulting equation.
Learn more about expression here: https://brainly.com/question/723406
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Help plz (problly easy for you)
The second option: 4x² - x + 1
All you have to do is add the like terms:
3x² + x² = 4x²
4x - 5x = -x
-2 + 3 = 1
Combine all the results and you will get your solution!
What is the area of the triangle?
Evaluate the expression below for
x = 2 5/8
4x + 9(2x + 1)
Answer: 25.8
may or may not be wrong
Step-by-step explanation: