Answer:
82% of scores were between 286 and 322
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 310 and a standard deviation of 12.
This means that [tex]\mu = 310, \sigma = 12[/tex]
What percent of scores were between 286 and 322?
The proportion is the pvalue of Z when X = 322 subtracted by the pvalue of Z when X = 286. So
X = 322
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{322 - 310}{12}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
X = 286
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{286 - 310}{12}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.8413 - 0.0228 = 0.8185
0.8185*100% = 81.85%
Rounding to the nearest whole number
82% of scores were between 286 and 322
Let T denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. T is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let R denote the average rate, in customers per minute, at which the representative responds to inquiries. What is the density function for the random variable R on the interval 10/12 <= r <= 10/8
Answer:
The answer is "[tex]f_{R} (r) =\frac{5}{2r^2}; \frac{10}{12} \leq r \leq \frac{10}{8}[/tex]"
Step-by-step explanation:
They have the distributional likelihood function of T: [tex]f_{\Gamma } \ (t)= \frac{1}{12-8}= \frac{1}{4}; 8 \leq t \leq 12[/tex]
This is the following PDF of transformation [tex]R =\frac{10}{T}[/tex]
They know that PDF is the Y=g(X) transformation
[tex]f_{y} (y)=f_{x} (g^{-1} (y))|\frac{dg^{-1} (y)}{dy}[/tex]
Using theformula, the PDF of [tex]R =\frac{10}{T}[/tex] is
[tex]f_{R} (\Gamma)=f_{(\Gamma)} |\frac{d(\frac{10}{r})}{dr}| \\\\f_{R}(r) =\frac{1}{4}| -\frac{20}{r^2}|\\\\f_{R} (r) =\frac{5}{2r^2}; \frac{10}{12} \leq r \leq \frac{10}{8}\\\\[/tex]
Answer
v=4/3*π*r^3
=4/3*π*4^3
=
Answer:
=4/3(π)*64
=268.08
Step-by-step explanation:
Write each statement as a decimal to two decimal places.
$6.00 to 95 cents =
3 hours to 35 minutes =
42 inches to 2 feet =
Step-by-step explanation:
The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.
1. $6.00 to 95 cents:
This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00
Convert $6 .00 to cents to make both quantities be in the same unit.
$1 = 100 cents
$6.00 = 6*100 = 600 cents
\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)
2. 3 hours to 35 minutes:
Convert 3 hours to 35 mins
1 hr = 60 mins
3 hrs = 3*60 = 180 mins
180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)
3. 42 inches to 2 feet:
Convert 2 ft to inches
1 ft = 12 inches
2ft = 2*12 = 24 inches
42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75
What is the area of the given figure in square centimeters?
A.15 3/4
B.21 3/8
C.27
D.39 3/8
Answer:?
Step-by-step explanation:
Mrs. Evans opens a bank account and starts to gain money at a constant rate of $6 per day. What is the total amount of money that she will gain after a week?
Answer:
$42
Step-by-step explanation:
I know this because a week is 7 days and if she is making $6 a day then you would do 7 times $6 which equals $42 so Mrs. Evans will gain a total of $42 after a week.
Can someone pls help
Answer:
[tex]v = 252mm ^{3} [/tex]
Step-by-step explanation:
hope it helps you
have a great day
Answer:
hey! sis.
...............
Which expression is equal to x+5x+3⋅(x+3)(x−5)x2+3 ?
Answer:
Step-by-step explanation:
Use the ray tool to graph f(x)=−|x+2|
First plot the endpoint of the ray, then plot any point on the ray.
Answer: Graphed points I used, (-2,0), (0,-2), and (-3,-1)
Step-by-step explanation:
The graph of given function is attached below.
Absolute value function:The given function is,
[tex]f(x)=-|x+2|[/tex]
We have to draw the graph of above function.
When [tex]x=-2[/tex] , [tex]f(-2)=0[/tex]
When [tex]x=-4[/tex] , [tex]f(-4)=-|-4+2|=-2[/tex]
When [tex]x=0[/tex], [tex]f(0)=-2[/tex]
Thus, We have points [tex](-2,0),(-4,-2)[/tex] and [tex](0,-2)[/tex]
The graph of function attached below.
Learn more about the graph of function here:
https://brainly.com/question/24335034
Can you please do number 4?
Answer:
64
Step-by-step explanation:
To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)
Group of answer choices
7ft1⋅3yd1ft
(7 ft/ 1 ) multiplied by (3 yd/ 1ft)
7ft1⋅12in1ft
(7 ft/1) multiplied by (12 inches/1 ft)
7yd1⋅3ft1yd
None of these
7ft1⋅1yd3ft
Answer:
7ft/1yd ⋅1yd/3ft
Step-by-step explanation:
To use unit analysis to convert 7 feet to yards
Using unit analysis
1 yard = 3 feet
Hence
3 feet = 1 yard
7 feet = x yard
Cross Multiply
3 feet × x yard = 7 feet × 1 yard
We can represent this as
7 feet/1 yard × 1 yard/3 feet
The correct Option is :
7ft/1yd ⋅1yd/3ft
Solve for a:
a + 1 > 7
Answer:
[tex]a>6[/tex]
Step-by-step explanation:
1) Subtract 1 from both sides.
[tex]a>7-1[/tex]
2) Simplify 7 - 1 to 6.
[tex]a>6[/tex]
Therefor, the answer is a > 6.
Answer:
a > 6.
Step-by-step explanation:
Move all terms not containing a to the right side of the inequality.
Inequality Form:
a > 6.
Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).
y= blank x+ blank
Answer:
Step-by-step explanation:
y2-y1/x2-x1
-1-(-4)/3-7
3/-4
y=mx+b
For the y coordinate it can be either -4,or -1
-4=3/-4x+b
b=13/4
Can anyone help me? This is confusing me a lot.
Answer:
80m2 wtfffffffffffffffffffff
find the value of x in the triangle
Answer:
Answer is X = 100
Step-by-step explanation:
X+80=180 (co interior angle)
x=180-80
x=100
Answer please eeeeeeee will give brainliest
Answer:
Pablo has 6 fewer vacation days than Sandra. If s represents the number of vacation days sandra has, how many vacation days does Pablo have?
the ratio of boys to girls in the class is 3:4.If the girls are 16
How many boys are in the class
Answer:
12 espero ter
ajudado
isso significa que há 3/4 de meninos e meninas
. Queremos encontrar 3/4 de 16
, podemos fazer isso multiplicando 16 por 3/4
3/4 * 16 = 48/4
48/4 = 12
Existem 12 Rapazes
Step-by-step explanation:
Half a circle, 4 in the center with arrows either side. what is the perimeter in cm
Answer:
Assuming you mean the diameter is 4 cm:
perimeter = 10.28 cm
Step-by-step explanation:
full circle perimeter = πD = (3.14)(4) = 12.56 cm
half circle = 12.56 cm/2 = 6.28 cm
flat side = 4 cm
6.28 cm + 4 cm = 10.28 cm
1% of what number is 10?
Answe
hope it helps.........
Answer:
1000
Step-by-step explanation:
1% of 1000 is ten. if ten is 1%, if you multiply times a hundred, 1000 is equivalent to 100%
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
53 and 17
Step-by-step explanation:
If you add 53 and 17, you get 70.
If you subtract 17 from 53, you get 36. Hope this helps!
what is eighty one raised to the - 3/4 power
Answer:
27
Step-by-step explanation:
please answer this :))))
Answer:
Answer is E hope this helps :)
Step-by-step explanation:
In the diagram, if WA = 6, AX = 5, and YA = 10, then the length of Y Z is
Answer:
YZ = 13 units
Step-by-step explanation:
By intersecting chords theorem in a circle,
YA × AZ = WA × AX
By substituting the values of each segment in the formula,
10 × AZ = 6 × 5
AZ = [tex]\frac{30}{10}[/tex]
AZ = 3 units
Therefore, YZ = AZ + AY
YZ = 3 + 10
YZ = 13 units
Montel loaned $6800 to a friend for 13 months at an annual rate of 7.7% simple interest. How much interest did the borrower owe?
Answer:
$563.23
Step-by-step explanation:
what is the temperature halfway between 20 degrees and -10 degrees?
Answer:
The temperature halfway is -5 degrees farenheit/celcious
Step-by-step explanation:
the difference is 30 degrees
30 / 2 = 15
20 - 15 = -5
-10 + 15 = -5
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
Find the volume of the cylinder. Round your answer to the nearest tenth
3 m
5 m
Answer:141.4
Step-by-step explanation:
If n+1 integers are chosen from the set
1,2,3,…,2n
,where n is a positive integer, must at least one of them be even? Why?
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.The daily revenue at a university snack bar has been recorded for the past five years. Records indicate that the mean daily revenue is $1200 and the standard deviation is $400. The distribution is skewed to the right due to several high volume days (football game days). Suppose that 100 days are randomly selected and the average daily revenue computed. Which of the following describes the sampling distribution of the sample mean?
a. skewed to the right with a mean of $1200 and a standard deviation of $400.
b. normally distributed with a mean of $1200 and a standard deviation of $40.
c. normally distributed with a mean of $1200 and a standard deviation of $400.
d. normally distributed with a mean of $120 and a standard deviation of $40.
Answer:
b. normally distributed with a mean of $1200 and a standard deviation of $40.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Skewed to the right, mean 1200, standard deviation [tex]\sigma = 400[/tex]
Sample of 100 days:
By the Central Limit Theorem:
Approximately normal
Mean 1200
Standard deviation [tex]s = \frac{400}{\sqrt{100}} = 40[/tex]
The correct answer is given by option b.
SOMEONE HELP ME WITH PLS ITS DUE At 12pm PLSS
PLEASE HELP!!!
d/dx(e^2x)=d/dx(e^x*e^x)=?
Answer:
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightCalculus
Derivatives
Derivative Notation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
eˣ Derivative: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{d}{dx}[e^{2x}][/tex]
Step 2: Differentiate
[Derivative] eˣ Derivative [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2x^{1 - 1} \cdot e^{2x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2x^{0} \cdot e^{2x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2(1) \cdot e^{2x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2 \cdot e^{2x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
I need help please ASAP