Answers
Given:
Mean = 45
Standard deviation = 9
Confidence level = 95%.
To find:
The confidence interval.
Solution:
The formula for confidence interval is:
[tex]C.I.=\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}[/tex]
Where, [tex]\overline{x}[/tex] is mean, z is the z-value at given level of confidence, [tex]\sigma[/tex] is the standard deviation and n is the number of observations.
The z-value at 95% confidence level is 1.96.
Here number of observations are not given. Assume it is 1.
Putting [tex]\overline{x}=45,\sigma=9,z=1.96,n=1[/tex].
[tex]C.I.=45\pm 1.96\dfrac{9}{\sqrt{1}}[/tex]
[tex]C.I.=45\pm 1.96(9)[/tex]
[tex]C.I.=45\pm 17.64[/tex]
It can be written as
[tex]C.I.=[45-17.64,45+17.64][/tex]
[tex]C.I.=[27.36,62.64][/tex]
Approximate the value to the nearest whole number.
[tex]C.I.=[27,63][/tex]
The interval for the middle 95% of snowfall is 27 to 63.
Therefore, the correct option is A.
Related Questions
help pls what is 2*123/56+9=
Answers
Answer:
not sure but can use Calculator
Answer:
13.39285714285714
Step-by-step explanation:
Using the order of operations (P.E.M/D.A/S), we work from left to right starting with multiplication and division.
Start with the multiplication
2 x 123 = 246
Then the adjacent division
246/56 = 4.392857142857143
Last, we work any addition or subtraction
4.392857142857143 + 9 = 13.39285714285714
Hope this helps.
1/4 divided by 2 and 1/4 divided by 3
Answers
Answer:
1/4/2=1/8 1/4/3=1/12
"The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed."
Answer:
1/8 ; 1/12
Step-by-step explanation:
1/4 / 2 = 1/8
1/4 / 3 = 1/12
(1)Using your answer from above, (170 hives) how much did the almond grower pay for renting the bees when it was $40 per hive? How much did he have to spend when the price increased to $60 per hive?
(2). If there are 40,000 bees in a hive and there is a 90% loss, how many bees died? How many are left to pollinate the plants?
Answers
Answer:
1) At $40 per hive, the almond grower spent $6,800
At $60 per hive, the almond grower spent $10,200
2) 36,000 bees died, 4,000 lived to pollinate.
Step-by-step explanation:
1) 170x40= 6,800
170x60=10,200
2) 10% of 40,000 is 4,000
40,000-4,000=36,000
90%=36,000 10%=4,000
Mrs. Jensen, the science teacher, collected 30 sedimentary rocks and 42 metamorphic
ones. Now she wants to create some identical kits for studying rocks, without having
any rocks left over. What is the greatest number of kits she can create? How many of
each rock will be in each kit?
Answers
Answer:
The most kits she can create is 6 with 5 sedimentary and 7 metamorphic
Step-by-step explanation:
Hope this helped, have a blessed day
solve the inequality 2(x-3)-5x<9
Answers
Answer:
x > -5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2(x-3)-5x<9 expand left side
2x-6-5x<9. group like terms on left side
-3x-6<9. add 6 to each side
-3x<15. divide each side by -3 (reverse sign because of division by a negative)
x>-5
A line passes through the points (5,20) and (6,21). Write a linear function rule in terms of x and y for this line.
Answers
Answer: y=x+15
Step-by-step explanation:
Given
the line passes through (5,20) and (6,21)
Equation of line using the two-point form is
[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Putting values we get
[tex]\Rightarrow \dfrac{y-20}{x-5}=\dfrac{21-20}{6-5}\\\\\Rightarrow y-20=(x-5)\times 1\\\\\Rightarrow y=x+15[/tex]
I dont understand? Can someone plz help
Answers
Answer:
2/5; 1/2; 2/3; 14/10; 2/6
Step-by-step explanation:
When finding equivalent fractions, multiply or divide both the numerator and denominator by the same number.
4/10 = 2/5 because 4÷2=2 and 10÷2=5
The same thing has been done to both the numerator and denominator (in this case they have both been divided by 2)
I will do anything for a legit answer plsssssss
The tennis team is having a fundraiser for uniforms for its 9 players. The total cost for the uniforms is $759.84 and the team already has $224.36. Write and solve an inequality that represents the amount of money, x, each team member must raise? Input your answer as an inequality with no spaces
Answers
Answer:
X ≥ 59.50
Step-by-step explanation:
So to begin, your equation would need to solve for x. X has to be greater than or equal to the minimum amount each player needs to raise for the uniforms. To find how much money they need to raise subtract $224.36 from $759.84 to get $535.48. Divided $535.48 by 9 players to see the minimum amount they each need to contribute. You should get $59.50 roughly. So each player would need to raise greater than or equal to $59.50.
Hope this helps!
Adam wants to learn more about a college basketball team. Which of the following is a statistical question Adam could ask? PLS HELP!
Answers
Answer:
A. what was the final score of the game last night
Step-by-step explanation:
Answer:
late but its how tall are the players
Step-by-step explanation:
got it right on a p ex
When animals or humans build things, they choose materials based on their
Answers
Answer:
strength, availability, preference, and cost
Step-by-step explanation:
Stability, purpose, texture, appearance, structure, and size.
The material point moves in a straight line according to the law s (t) = t ^ 2 + 10t - 5, the stage of the point's velocity at the moment t = 2.
Find the speed of the point at the moment
t = 2
i translated this problem from different language, hopefully everything was translated right, please help, thank you
Answers
Answer:
I think the answer is 19
Step-by-step explanation:
multiple choice pls help!
Answers
Answer:
[tex]\frac{15}{17}[/tex]
Step-by-step explanation:
sine = [tex]\frac{oppositex}{hypotenuse}[/tex]
since A = [tex]\frac{15}{17}[/tex]
Simplify the following.
(9x2+7x-6)+(9x2-7x+6)
Answers
Answer:
9 x 2 + 7x
18 + 7x - 6
18 - 6 = 12
12 + 7x
Is your simplified expression
Answer:
12 + 7x
Step-by-step explanation: there
Help I will be marking brainliest!!!
A. 45
B. 43
C. 36
D. 90
Show work, or explain you answer if possible. Thanks❤️
Answers
A. 45
B. 43
C. 36D. 90
#CarryOnLearning.
I need help finding the difference between 3/4-1/3
Answers
Answer:5/12
Step-by-step explanation:
Ms. Griffith took a cab ride which cost $16. She gave the driver $20 and said, "keep the change." What percent did Ms. Griffith tip the driver?
Answers
Answer:
25%
Step-by-step explanation:
Given data
Cost of ride= $16
Amount paid= $20
Change= $4
Hence the percent of the tip is
=4/16*100
=0.25*100
=25%
Hence the percentage of the tip is 25%
Find three consecutive odd integers such that the
difference of twice the second and the first is 11.
Answers
Answer:
Step-by-step explanation:
n, n+2, n+4
2(n+2)-n=11
2n+4-n=11
n+4=11
n=7
So the three consecutive odd terms are 7, 9, 11.
Bonsoir pour vais vous m'aider svp développer et réduire l'expression D=(2x+3)²-(x+4)² et factoriser D Svp aider moi
Answers
Answer:
d = 3x²+ 4x - 7
C'est la réponse j'espère que ça aide.
Josh reads a book at a rate of 20 chapters per hour. How many chapters does he read in 4 hours?
Answers
Answer:
He can read 80 in four hours.
In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters are Independent. A survey asked 33 people to identify themselves as Democrat, Republican, or Independent. A. What is the probability that none of the people are Independent? Probability = B. What is the probability that fewer than 6 are Independent? Probability = C. What is the probability that more than 2 people are Independent? Probability =
Answers
Answer:
a) 0.0214 = 2.14% probability that none of the people are Independent.
b) 0.8516 = 85.16% probability that fewer than 6 are Independent.
c) 0.8914 = 89.14% probability that more than 2 people are Independent.
Step-by-step explanation:
For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is believed that 11% of voters are Independent.
This means that [tex]p = 0.11[/tex]
A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.
This means that [tex]n = 33[/tex]
A. What is the probability that none of the people are Independent?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
0.0214 = 2.14% probability that none of the people are Independent.
B. What is the probability that fewer than 6 are Independent?
This is
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]
[tex]P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724[/tex]
[tex]P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202[/tex]
[tex]P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041[/tex]
[tex]P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463[/tex]
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516[/tex]
0.8516 = 85.16% probability that fewer than 6 are Independent.
C. What is the probability that more than 2 people are Independent?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214[/tex]
[tex]P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872[/tex]
[tex]P(X < 2) = 0.0214 + 0.0872 = 0.1086[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914[/tex]
0.8914 = 89.14% probability that more than 2 people are Independent.
1. Refer to the figure at the right. Line a is parallel to line b and m2 is 135 °. Find each given angle measure. Justify your answer
m9+m<10
m1
m6
m4+ m5
this means angle
Answers
Answer:
∠9 + ∠10 = 135° combined, they are alternate equal to ∠2
∠1 =45° it is supplementary to ∠2
∠6 = 45° it is corresponding congruent to ∠8 which is alternate
equal to ∠1
∠4 + ∠5 = 135° combined, they are corresponding congruent to ∠2
The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
All the angles are mentioned on the diagram.
The measure of the angles ∠1, ∠6, ∠4, ∠5, ∠9, and ∠10 will be 45°, 45°, 45°, 90°, 45°, and 90°, respectively.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
PLEASE HELP EASY SLOPE MATH its not 1.5
Answers
Answer: The answer is 4.5
Answer:
B. 4.5 miles per hour
Step-by-step explanation:
look at the graph and see where the line hits 1(time in hours) as you can see, the line hits in between 3 and 6, so the most reasonable answer would be 4.5. this doesn't work for all answers, but it seems to work for this one. I hope that helps you!
HELPPP MEE PLEASEEE!!!
Answers
Answer:
8 degrees now and the change would be a 3 degree difference
Simplify the expression: 14x-5(6x-7)+18
Answers
Answer:
−16x+53
Step-by-step explanation:
Distribute
14−5(6−7)+18
↓
14−30+35+18
Add
14−30+35+18
↓
14−30+53
Combine like terms
14−30+53
↓
−16+53
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
The answer is D
[tex] {x}^{2} + 6x + 9 = 0 \\ x = - 3[/tex]
That's the only equation will get us one point
Find the missing side pls
Answers
Answer:
what is question I did see
3. Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 4x + 1 (12,-6)
a)y = -1/4x + 12
b)y = -1/4x - 3
c)y = -1/4x - 6
d)y= -1/4x + 3
Answers
Answer:
D. y = -1/4x + 3
Step-by-step explanation:
If the line is perpendicular, it will have a opposite reciprocal slope.
So, the slope will be -1/4.
Plug in this slope and the given point into y = mx + b, and solve for b:
y = mx + b
-6 = -1/4(12) + b
-6 = -3 + b
-3 = b
Plug in the slope and y intercept into y = mx + b
y = -1/4x - 3
So, the correct answer is D. y = -1/4x + 3
Answer:
D. y = -1/4x + 3
Step-by-step explanation:
Because it is the "Correct Answer"
What is the value of \log_6 36log
6
36?
Answers
Answer:
1 Bagilion
Step-by-step explanation:
hope ths herps papa
Answer:
1 Bagilion
Step-by-step explanation:
Find the length of LM
Answers
So the triangle KNL is an equilateral triangle meaning all angles are the same. If all angles are the same, all the lengths are the same.
If KL is 4, then NL is 4.
Since NL is 4, the opposite side LM is 4 because it is an isosceles triangle.
X - 1 = 4
X = 5
Stuffed animals each weighing 1/4 pound are on a scale. The scale shows 1 1/2 pounds. How many stuffed animals are on the scale?
Answers
Answer: The answer is: 6
Step-by-step explanation: I have my ways ;>
Have a nice day!
-Sunny