Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6.a. What are the mean, standard deviation, and shape of the distribution of x-bar for n = 50?b. What’s the probability a sample of scores will have a mean greater than 80?c. Sketch the distribution curve for part B, showing the area that represents the probability you found.
Answers
Answer:
ux = 78
s= 0.8485
P ( z>0.33) = 0.3707
Step-by-step explanation:
According to central limit theorem the mean of the population is equal to the mean of the sample and the standard deviation is found by dividing the standard deviation of the population with the square root of the sample size
Thus
ux = u= 78
σ= 6
s= σ/√n= 6/√50= 6/7.07106= 0.8485
We find the z score
Z= X- u / σ
z= 80-78/6
z= 2/6= 1/3=0.333
P ( z>0.33) = 1 - P(z=0.33)
= 1- 0.6293
= 0.3707
We see in the figure that the blue area represents the area greater than z= 0.333 or area greater than 1/3.
The probability of z= 0.33 from the table is 0.6293
We find the probability of area greater than 0.33 by subtracting from 1 .
Related Questions
A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.
6 percent of 38 0.6 times 38 = 22.8
Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.
Answers
Answer: Than did not use 0.06 for 6 percent.
Step-by-step explanation:
From the question, we are informed that Than computed 6 percent of 38 as 6 percent of 38 = 0.6 times 38 = 22.8.
His above solution is wrong. We should note that:
6% × 38
= 6/100 × 38.
= 0.06 × 38
= 2.28
The mistake that he made was that Than did not use 0.06 for 6 percent.
Answer:
b
Step-by-step explanation:
edge
A tile backsplash is being installed. The installation fee is $150.00. The tile is priced at $2.75 per square foot, x. which equation best represents the total cost, y, of the backsplash?
Answers
Answer: y = 150 + 2.75x
Step-by-step explanation:
Since we are informed that the installation fee is $150.00 and that the tile is priced at $2.75 per square foot, x, the total cost, y, of the backsplash will be the addition of the fixed cost of $150.00 plus $2.75 multiplied by the number of square foot. This will be expressed as:
y = 150 + 2.75x
where,
x = number of square foot.
Joshua is driving to visit his friend who lives 165 miles away. He has driven 25 miles, and now he hopes to drive 40 miles per hour the rest of the way. How many more hours will it take Joshua to reach his friends house
Answers
Answer: akcbebvu9pewgrvw8ugvubeufhfhef89h8efhw9a9s
Answer:
top one is correct yessss
Which of the following lines is parallel to the line represented by 2y=4x+6?
y = -2x - 10
y = -3x + 10
y = 3x +10
y = 2x - 10
Answers
I need help with it i don’t know how to do it
Answers
Answer:
What do you mean? Like you need to specify your question...
Step-by-step explanation:
what do you mean by that?
if a watch loses 30 seconds every 1 hour .if the watch was set right on sunday at 11:30pm what time did it show after 10hrs
Answers
Answer:
9:25
Step-by-step explanation:
Answer:
9:25 am
Step-by-step explanation:
losing 30 seconds every hour would be the same as losing one minute every 2 hours
since there are 5 2-hour intervals in 10 hours, the time if off by 5 minutes
instead of 9:30am it is 9:25 am
helppppo plss
zoom in on picture if u need but i need answer soon
Answers
Answer: third number line
Step-by-step explanation:
If 12x - 3 = 17 + 7x, find the value of x.
Answers
Answer:
value of x is 4
Step-by-step explanation:
12x-3=17+7x
12x-7x=17+3
5x=20
x=4
Answer:
4
Step-by-step explanation:
Given that:
12x - 3 = 17 + 7x
Collect like terms
12x - 7x = 17 + 3
5x = 20
Divide both sides by 5
5x / 5 = 20 / 5
x = 4
Hence, x = 4
do that for me and you get 12points
Answers
Answer:
25
Step-by-step explanation:
Which is a complete list of factors of each term in the expression 16 a + 18 a b?
16a: 1, 2, 4, 8, 16
18ab: 1, 2, 3, 6, 9, 18
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, b
16a: 2, 4, 8, a
18ab: 2, 3, 6, 9, a, b
16a: 1, 2, 4, 8, 16, a
18ab: 1, 2, 3, 6, 9, 18, a, b
Answers
Answer:
d
Step-by-step explanation:
Answer:
the answer is d.
Step-by-step explanation:
Determine the value of y, if x is -2.
y = |x – 12|
Answers
Answer:
y=14
Step-by-step explanation:
asap.?
anyone please
Answers
Which method would you choose to solve the following system?
-5x + 2y = 15
y = - 3x - 20
Equal Values Method
O Substitution Method
O Graphing Method
Elimination Method
Answers
Answer: combining like terms
Step-by-step explanation:
jOE TRAVEL TO SCHOOL ON A BUS. ON ANY DAY THE PROBABILITY THAT HE MISSES THE BUS IS 1/3. WHAT IS THE PROBABILITY THAT HE WILL MISS THE BUS ON TWO CONSECUTIVE DAYS AND THE PROBABILITY THAT HE WILL MISS THE BUS ON ONE DAY OUT OF TWO CONSECUTIVE DAYS
Answers
Answer:
1/6 of 2 dayas an 1/3 on 1 day
Step-by-step explanation:
A proportional relationship between the number of pounds of pickling cucumbers (x) and the price in dollars (y) can be graphed, and the ordered pair (6, 4) would be on the graphed line.
Part A: What is the price of 1 pound of pickling cucumbers? Show your work. (8 points)
Part B: What does the ordered pair (12, 8) on the graph represent? Explain in words. (2 points)
Answers
Part A: What is the price of 1 pound of pickling cucumbers?
Answer: after surveying the selection, we discovered that 1 pound is equal to 6 to 7 pickling cucumbers that are 3 to 4 inches in length. We decided to use 1 pound of pickling cucumbers for ours calculation sample.
Part B: What does the ordered pair (12, 8) on the graph represent?
Answer: number are plotted on graph quadrants in what are known as ordered pair. An ordered pair consists of two values, x and y. In an ordered pair, x is always the first value and y is always the second value.
Step-by-step explanation: I think this is what you want, hope this help
In a bag of trail mix, the ratio of raisins to M & M's is 2,3. Which fraction represents the ratio of raisins to M & Ms.
Answers
Answer:
...you may want to check my explanation...
Step-by-step explanation:
If the ratio of raisins to M&Ms in a bag of trail mix was 2:3, that means that there are 2 raisins for every 3 M&Ms. This means that in a bag of 100 items, there would be 40 raisins and 60 M&Ms. I'm not sure what the ratio would be as a fraction (maybe 2/3?), but I do know that the fraction for the number of raisins in the whole bag is 2/5 and the fraction for the number of M&Ms is 3/5.
Hope this helps!
(If the answer is even right, that is...)
4 bells toll together at 9 am. They toll after 7, 8. 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?
Answers
Answer:
5 times
Step-by-step explanation:
What we need to do here is to find the lowest common multiple of 7,8,11 and 12
This is;
1848
Now, let’s calculate the number of seconds in 3 hours
In 1 hour, we have 3600 seconds
In 3 hours, this will be;
3600 * 3 = 10,800 seconds
So, to find the number of times in which all 4 will toll together, we need to know the number of 1848 seconds in 10,800 seconds
Mathematically, that will be;
10,800/1848 = 5.844
Our answer will be 5 times however
This is because the sixth time they would have sounded together would be more than the 3 hours time frame
A fireplace burn 6 same-sized logs in 3 hours. How many logs does the fireplace burn in 9 hours?
Answers
Answer:
18 logs
Step-by-step explanation:
because 9 is three times 3, just multiply the 6 by three as well.
Put each line into slope-intercept form:
1. y=x + 3
2. 3x + 3y = -9
Can someone help me
Answers
Step-by-step explanation:
Slope-intercept form: y = mx + c
y = x + 3 is already in this form.
3x + 3y = -9,
3y = -3x - 9
y = -x - 3.
simplify fully please
Answers
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand both factors using FOIL
= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1
= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms
= 8x² + 8
Answer:
-8(x^2 - 1)
Step-by-step explanation:
(x^2 + 3)^2 and (x^2 - 1)^2 are both squares of binomials. The first step here is to expand both:
-(x^2 + 3)^2 = -x^4 - 6x^2 - 9
(x^2 - 1)^2 = x^4 - 2x^2 + 1
Combine the two right-hand expressions, obtaining:
-8x^2 - 8 or -8(x^2 - 1)
This -8(x^2 - 1) is the simplest form of the given expression.
If desired, -8(x^2 - 1) can be factored: -8(x - 1)(x + 1)
Plsss helpp me Achiedle is cut from a square piece of cloth, as shown:
How many square inches of cloth are cut from the square? (n = 3.14)
Answers
Answer:
B
Step-by-step explanation:
I think the answer is B but I could be wrong! I'm 98% confident in my answer though!
Is this a parallelogram if so by which theorem
Answers
Answer:
Egghead
Step-by-step explanation:
and by the opposite sides being equal length meaning the lines can go forever and ever and never touch
Find the answer (5x) + (4x) + (6y)
Answers
Answer:
9 x + 6 y
Step-by-step explanation:
Sam had 48 stickers to put on the walls in his bedroom. He divided the stickers
evenly among the 4 walls of his room. How many stickers did he put on each wall?
32
24
16
12
Answers
Answer:
48/4
12 he divided the stickers
evenly among the 4 walls of his room
Pleaseeeee helppppp Asapppp!!!!!
What is the midline of this function ??
Answers
The midline is the line Y=0 .
(That's the x-axis.)
Solve x2 - 13x + 30 = 0
Answers
Answer:
or, x2-(2-15)x +30= 0
or, x2-2x-15x + 30= 0
or,x(x-2)-15(x-2)=0
or, (x-2) (x-15)=0
either, or,
x-2=0 x-15=0
Answer:
x2-(10+3)x+30=0
x2-10x-3x+30=0
x(x-10)-3(x-10)=0
(x-10)(x-3)=0
either, or,
x-10=0 x-3=0
x=10 x=3
therefore,x=10,3
Find the derivative of a✓tan(5x-7)
Answers
Answer:
[tex]\displaystyle y' = \frac{5a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
*Note:
Treat a as an arbitrary constant.
Step 1: Define
Identify
[tex]\displaystyle y = a\sqrt{\tan (5x - 7)}[/tex]
Step 2: Differentiate
Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = a\frac{d}{dx} \Big( \sqrt{\tan (5x - 7)} \Big)[/tex]Basic Power Rule [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{a}{\sqrt{\tan (5x - 7)}} \cdot \frac{d}{dx}[\tan (5x - 7)][/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}} \cdot \frac{d}{dx}[5x - 7][/tex]Basic Power Rule [Derivative Properties]: [tex]\displaystyle y' = \frac{5a \sec^2 (5x - 7)}{\sqrt{\tan (5x - 7)}}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
whoever answers fastest, consider it a gift
Answers
Answer:
um ok
Step-by-step explanation:
work out the coordinates of c
the answer
Answers
Answer:
y = 30- 2 = 28
28/4=7
So 7 per side of the square. x would then be 27-7-7= 13 counting from the top
y would be 2+7+7=16
(13,16)
Which graph represents the solution to the compound inequality?
-6<3x-12 s9
1 2
O
o3 6 9 12 15
O 30 369 12 15
Answers
Step-by-step explanation:
-6 < 3x - 12 <= 9
6 < 3x <= 21 (add 12)
2 < x <= 7 (divide by 3)
The graph that correct represents this solution set is the 2nd graph.