Complete question :
a. Of less than$720?
b. Of more than $840?
c. Between $680 and $760?
Answer:
0.500 ; 0.0013 ; 0.6827
Step-by-step explanation:
Given that :
Mean, μ = 720
Standard deviation, σ = 40
P(Z < x)
x = (x < 720)
Obtain the standardized value of x
P(x < 720) = (x - μ) / σ
P(x < 720) = (720 - 720) / 40
P(x < 720) = 0
P(Z < 0) = 0.5
B.) More than $840
P(x > 840)
P(x > 840) = (x - μ) / σ
P(x > 840) = (840 - 720) / 40
P(x > 840) = 120 / 40 = 3
P(Z > 3) = 0.0013499 (Z probability calculator)
c. Between $680 and $760?
P(760 < x < 680)
P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)
P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)
P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268
A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. Conduct a hypothesis test to determine if the means are statistically the same assume alpha is 0.05.
Answer:
We accept H₀. We don´t have enough evidence to support the difference between the two means
Step-by-step explanation:
Group 1 : Comunity College
Sample:
size : n₁ = 54
Sample mean x₁ = 947
Sample standard deviation s₁ = 254
Group 2 : Local University
Sample
size : n₂ = 66
Sample mean : x₂ = 1011
Sample standard deviation s₂ = 87
Significance level α = 0,05 α = 5 % CI = 95 %
Both samples are with n> 30 so we can use z table for the test
from z-table we find z(c) = 1,96
The problem statement establishes to run a hypothesis test to determine if the means are statistically the same ( or different) then we use two-tail-test
Hypothesis Test
Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂
Alternative hypothesis Hₐ x₁ - x₂ ≠ 0 or x₁ ≠ x₂
To calculate
z(s) = ( x₁ - x₂ ) / √ s₁²/n₁ + s₂²/n₂ )
z(s) = 947 - 1011 / √ (254)²/54 + (87)² / 66
z(s) = - 64 /√ 1194,74 + 114,68
z(s) = - 64 / 36,185
z(s) = - 1,77
Comparing modules of |z(c)| and |z(s)|
z(s) < z(c)
Then z(s) is in the acceptance region we accept H₀ . There is not enough evidence to support differences in the means of the two groups
help me please! i’m giving brainliest. :)
Answer:
1,814,000 mg
Step-by-step explanation:
1 kg = 1,000 g
1 g = 1000 mg
1 kg + 814 g = 1,814 g
1,814(1000) = 1,814,000 mg
In a random sample of 10 residents of the state of Florida, the mean waste recycled per person per day was 2.1 pounds with a standard deviation of 0.59 pounds. Determine the 98% confidence interval for the mean waste recycled per person per day for the population of Florida. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Which equation gives the sum of...
S=0.2/1-8
S=1/8-0.2
S=8/0.2-1
S=8/1-0.2
Answer:
Option D
S=8/1-.2
Step-by-step explanation:
Edg
The sum of the sequence will be S = 8 / (1 – 0.2). Then the correct option is D.
What is the sum of the geometric series?Let a be the first term and r be the common ratio. Then the sum of the geometric series will be
S = a / (1 – r) if r < 1
S = a / (r – 1) if r > 1
The sum of [tex]\rm \Sigma_{n = 1}^{\infty} 8(0.2)^{n - 1}[/tex].
Then the first term of the geometric sequence will be 8.
And the common difference between the successive terms will be 0.2.
The common ratio less than one, then the formula for the sum will be given as
S = a / (1 – r) if r < 1
Then the sum of the sequence till infinity will be
S = 8 / (1 – 0.2)
S = 8 / 0.8
S = 10
Thus, the sum of the sequence will be S = 8 / (1 – 0.2).
Then the correct option is D.
More about the sum of the geometric series link is given below.
https://brainly.com/question/2771750
#SPJ5
Jerome is painting a rectangular toolbox that is 20 inches by 10 inches by 8 inches. and a tube of paint covers 300 square inches. What is the surface area? and how many tubes of paint should Jerome buy?
Answer:
He should buy 3 tubes of paint.
Step-by-step explanation:
20×10×8=880
880÷300=2.93
2.93≈3
So, Jerome should buy 3 tubes of paint.
Brainliest please!
A recipe for cookies calls for 2/3 cups of sugar per batch Atlanta use 4 cups of sugar to multiply batches of cookies how many batches will she make
6
Step-by-step explanation:
A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle? (answer $192)
Use your answer from the above question to help answer this question!! The store is now going out of business and is selling all of the bicycles at a 30% discount. What is the sale price of the bicycle? (answer $134.4)
Use the information from the last two questions to help you answer this question. Will the store make money or lose money on the bicycle? How much?
Answer:
The store will make money for each option/event. For the first option, the store will earn extra $72. For the second option, the store will earn extra $14.4.
Step-by-step explanation:
120 x 1.6 = 192
192 x 0.7 = 134.4
For problem 1, the answer is $192
For problem 2, the answer is $134.4
The store will make money for each option/event.
192-120=72
134.4-120=14.4
PLSS HELP ASAP!!
13 points when answered:) Thank you!!
Answer:
The wright answer is A
Step-by-step explanation:
[tex] \sqrt{20} = 4.47 \\ \frac{14}{3} = 4.67 \\ 4.47 < 4.5 < 4.67[/tex]
does anyone do primavera online 8B i need help ASAP
lots of point
no I don't I'm sorry.....
2 x - 3 / 5 = - 1 / 10
Answer:
1/4
Step-by-step explanation:
2x=-1/10 + 3/5
2x=1/2
x=1/4
Help :)))))))
And branlist wil come!!
Answer:
y * 2.5 = x
Step-by-step explanation:
y= inch
x= conversion from inch to cm
You have $5. You pay someone $3. You receive a gift of $4.
what is the difference of -4-2 1/2?
Someone help need this to pass last question for today!
Answer: Reflection=simply flipping an object across a line without changing its size or shape. While Translation just slide a figure in any direction without changing its size, shape or orientation.
Hopes that helps have a blessing day/night :)
50 Points! Will give brainliest!
Answer:
D.
Step-by-step explanation:
What are some of the applications for exponential functions?
Designing identification tags
Conversion of measurements
Assigning phone numbers
Finding perimeter
Determining the number of subsets in a given set
Answer:
Option B and D are correct
Step-by-step explanation:
Exponential functions are really useful in the real world situation. They can be used to solve following
a) Population Models
b) Determination of area and perimeters
c) Determine time related things such as half life, time of happening of an event etc.
d) Useful for solving financial problems such as computing investments etc.
Hence, option B and D
62 x 37. How do I show my work help.
Step-by-step explanation:
62
x37
-------
434
+1860
--------
2294
What is x plsssss help
Answer:
x = 6 (brainliest..?)
Step-by-step explanation:
x² = 4(4 + 5)
x² = 36
x = 6
The probability that it will snow on Sunday is 3/5. The probability that it will snow on both Sunday and Monday is 3/10. What is the probability that it will snow on Monday, if it snowed on Sunday?
Answer:
1/2
Step-by-step explanation:
Probability of snowing on both Sunday and Monday= probability that it will snow on Sunday × probability that it will snow on Monday.
(and usually means multiply the probabilities while or implies addition of the probabilities).
Let probability of snowing on Monday be P
Hence 3/10=3/5× P
Hence P=(3/10) divided by (3/5) = 1/2
Find the slope that passes through the points (1,4) and (-4,14)
A: 1
B: -2
C: 1/2
D: -1
Answer:
B: -2
Step-by-step explanation:
14-4/-4-1 = 10/-5 or -2
Answer:
-2...................
which of the following could be the length of the side of a triangle
A :3,10 and 15
B :3,1 and 2
C :11,9, and 20
D :10,4, and 12
If right I’ll mark brainiest need ASAP
Answer
Step-by-step explanation: Anybody who help me I will mark brainliest in give you 180 points you have to go on my page in answer all my questions
What is the value of x in the triangle?
Answer:
C) 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
in an isosceles triangle, the hypotenuse equals a leg multiplied by [tex]\sqrt{2}[/tex]
A data set contains the values 1, 2, 5, 5, and 7.
The table shows the distance between each value and the mean of 4.
Data value
Distance between
value and mean
1
3
2
2.
5
1
5
1
7
3
Sum of distances 10
What is the mean absolute deviation (MAD) of the data set?
Answer:
2, The MAD is the MEAN STANDARD DEVIATION meaning it is the average of all the numbers distances away from the MEAN. you just add up all the distances and divide by how many there are.
15–80÷4^2×2 as a expression using the order of operations.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Do PEMDAS}[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Exponents}[/tex]
[tex]\large\text{Multiplication}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Subtraction}[/tex]
[tex]\mathsf{15 - 80\div4^2\times2}[/tex]
[tex]\mathsf{4^2}[/tex]
[tex]\mathsf{= 4\times 4}[/tex]
[tex]\mathsf{= \bf 16}[/tex]
[tex]\mathsf{15 - 80\div16\times 2}[/tex]
[tex]\mathsf{80\div16}[/tex]
[tex]\mathsf{= \bf 5}[/tex]
[tex]\mathsf{15 - 5\times2 }[/tex]
5 × 2 = 10
[tex]\mathsf{15 - 10}[/tex]
[tex]\mathsf{= \bf 5}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 5}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the volume of the rectangular prism?
Answer:
63
Step-by-step explanation:
A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bottom of the ladder is placed 5 feet away from the building, what is the length of the ladder?
Answers :
you will nees to use pythagorean theorem a^2 + b^2 = c^2
the a and b values will be 12 and 5 feet. So just plug them in and solve for c
12^2 + 5^2 = c^2
144 + 25 = c^2
169 = c^2 square root both sides
13 = c
so the ladder has a length of 13 feet.
which can be used to find the perimeter of the rectangle?
Answer:
Step-by-step explanation:
2 ( 5 plus 13)
Brainlist?
Which expression means the same as "the quotient of 8 less than x and 4"?
A. (x + 4) - 8
B. (x + 4) = 8
a
C. (8 - x) = 4
D. (x-8) + 4
o
E (x - 8) -4
Answer: E
Step-by-step explanation:
4x^2+ xy+81y^2 find the missing number
Answer: (9y^4*x^6)^2
Step-by-step explanation: First you take the square root of 81, which is 9. Next, you divide 8 and 12 by 2. Lastly, you multiply everything together, and you get a final answer of (9y^4*x^6)^2. Do you do RSM?