A continuous probability distribution for a realvalued random variable in statistics is known as a normal distribution or Gaussian distribution.
Explain about the normal distribution ?A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.
The median, mode, and means are the same. At its centre, or the mean, the curve is symmetric. To the left of centre, precisely half of the values are located, and to the right, exactly half. The curve has a total area under it of one.
The answer for normal distribution is 4
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4/0 divided by 5 11/14
Answer: undefined
Stepbystep explanation:
A company that manufactures bicycles has a fixed cost of $90,000. It costs $200 to produce each bicycle. The total cost for the company is the sum of its fixed cost and variable costs Write the total cost, C, as a
function of the number of bicycles produced, x Then, find and interpret C(100)
The total cost function is C(x)=
Answer:
Total cost: C(x) = 90,000 + 200x in dollars
C(100) = $110,000
This means that the total cost for the company when it produces 100 bikes would be $110,000
Stepbystep explanation:
First, you have a fixed cost, so you would start by setting C(x) to that:
C(x) = 90,000
Then, you have a cost of $200 PER bike that is made. The amount of bikes is represented by x. So you will have to multiply cost per bike by how many bikes are manufactured:
200x
Add this variable cost to the function underlined above.
C(x) = 90,000 + 200x
This is your function C(x).
Now for C(100), PLUG IN 100 for x:
C(100) = 90,000 + 200(100)
Multiply out:
C(100) = 90,000 + 20000
Then add these together to get the value:
C(100) = 110,000
This is the amount of money it would cost to make 110000 bikes, as interpreted above.
a particular fruit's weights are normally distributed, with a mean of 717 grams and a standard deviation of 18 grams. if you pick 12 fruits at random, then 16% of the time, their mean weight will be greater than how many grams? give your answer to the nearest gram.
If the mean is 7171 grams, the standard deviation is 18 grams and 12 fruits are selected at random. Then, the mean weight will be 734.901 grams greater.
Let X be the random variable of the fruit's weight.
We have, the mean and standard deviation as 717 grams and 18 grams respectively.
We want to find the specific gram value for which 16% of the fruits are heavier, i.e. the 84th percentile of X's normal distribution
Now, Solving for x:
P( X < x ) = Normal( 717, 18 ), Z = 0.84
So,
P( [X  717] / 18 < [x  717] / 18 ) = P( Z < [x  717]/18 ) = 0.84, where Z is a standard normal random variable
Now,
Standard Normal CDF( [x  717]/18 ) = 0.84
Then, from the standard normal table: [x  717]/18 = Inverse Standard Normal CDF( 0.84 ) = 0.9945
Therefore,
[ x  717 ] / 18 = 0.9945
Multiplying 18 on each side of the equation,
x  717 = 0.9945 × 18
x  717 = 17.901
Adding 717 on each side of the equation,
x  717 + 717 = 17.901 + 717
x = 734.901
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The volume of this cube is 729 cubic yards. What is the value of y?
()) y =
yards
An apartment building has 32 onebedroom
apartments, 24 twobedroom apartments,
and 16 threebedroom
apartments.
How many bedrooms are in the building?
Answer:
128
Stepbystep explanation:
You want the total number of bedrooms in a mix of 1, 2, and 3bedroom apartments.
BedroomsThe total number will be the sum of the products ...
1 × number of 1bedroom apartments = 1 × 32 = 32
2 × number of 2bedroom apartments = 2 × 24 = 48
3 × number of 3bedroom apartments = 3 × 16 = 48
That total is ...
32 +48 +48 = 128
There are 128 bedrooms in the apartment building.
The sum of an integer and 2 times the next consecutive integer is 22. Find the value of the lesser integer
Answer: gurl you think i know
Stepbystep explanation:
A trail mix recipe calls for 3 cups of pecans for 15 packets. At this rate how many cups of pecans will he need for 90 packets?
Answer:
Stepbystep explanation:
3 cups for 15 packets would be 5 packets for each cup. So 1 cup is 5 packets of trail mix. Which means 5×90= 45
The answer is 45.
Which number is closest to √30 ?
5.4
6.2
6.1
5.8
Answer: 5.4
Stepbystep explanation:
[tex]29.16 < 30 < 30.25 \implies 5.4 < \sqrt{30} < 5.5[/tex]
Bette used 3 jumbo cans of frosting to frost 105
cupcakes for the cupcake challenge at her school
and 5 jumbo cans of frosting to frost an
additional 175 cupcakes. How many jumbo cans
of frosting would she need to frost 280
cupcakes?
The number of jumbo cans of frosting would she need to frost 280 cupcakes is 8.
Given that, Bette used 3 jumbo cans of frosting to frost 105 cupcakes and 5 jumbo cans of frosting to frost an additional 175 cupcakes.
What are proportions?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Let number of jumbo cans of frosting would she need to frost 280 cupcakes be x.
Now the proportion is
3/105 = 5/175 = x/280
⇒ 5/175 = x/280
⇒ 175x = 280 × 5
⇒ x = 1400/175
⇒ x = 8
Therefore, the number of jumbo cans of frosting would she need to frost 280 cupcakes is 8.
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BRAINLY IF CORRECT!!
In △ A B C , A B = 7 , B C = 12 , and m ∠ A B C = 82 ∘
In △ D E F , D E = 7 , E F = 12 , and m ∠ D E F = ( 2 x − 6 ) ∘
A C > D F.
What is the range of possible values for x?
(a) 44 < x < 180
(b) 3 < x < 44
(c) 0 < x < 44
d) none of these
(e) x > 44
(f) 44 < x < 93
(g) x < 44
3 < x < 44
=============================================================
Explanation:
For triangles ABC and DEF we have these two pairs of congruent sides
AB = DE = 7BC = EF = 12In between sides AB and BC is angle ABC = 82
In between sides DE and EF is angle DEF = 2x6
Since AC > DF, this must mean angle ABC is larger than angle DEF. This is because the longer a side is, the larger the opposite angle will be.
Therefore, this leads to angle ABC > angle DEF

This is what the steps will look like
angle ABC > angle DEF
angle DEF < ABC
0 < angle DEF < angle ABC
0 < 2x6 < 82
0+6 < 2x6+6 < 82+6
6 < 2x < 88
6/2 < 2x/2 < 88/2
3 < x < 44
x is between 3 and 44, excluding both endpoints.
10 is 25% of what number?
Answer:
10% of 25 is 5/2 or 2½ as a fraction and 2.5 as a decimal. Let's find 10% of 25.
Stepbystep explanation:
likert scales are designed to be in measurement question options: nominal ratio internal ordinal it varies; they can be designed to be any level of measurement.
Likert scales are designed to be ordinal in measurement.
What is Likert scale and why is it used ?
The Likert scale is a psychometric scale that is used in survey questions that are based on it. It is one of the most popular sorts of survey questions. Respondents in a Likert scale survey are given precise options based on whether they "agree" or "disagree" with a particular survey question rather than just selecting "yes" or "no."
Likert scale survey questions are crucial for gauging a respondent's attitude or view toward a certain topic and are therefore a vital component of market research. Likert scales are commonly used to gauge respondents' levels of agreement with diverse claims using a five, seven, or ninepoint scale. The Likert Scale was created by organizational psychologist Rensis Likert to evaluate the degree of agreement or disagreement on a symmetric agreedisagree scale. In general, a series of statements is used, each intended to look at a construct from a little different angle. The effectiveness of this method lies in the fact that it can be applied to both social science and marketing constructs.
Therefore, likert scales are designed to be ordinal in measurement.
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30+29+14 Joshua rewrote the expression as 39+14+29 what property did Joshua used to rewrite the expression
some students decide to take a bike ride. for the first two hours they travel at a speed of 15 mi/hr, they then stop for lunch for an hour. the students then ride for another hour at 10 mi/hr. what was their average speed for the trip?
10 miles per hour is the average journey speed.
Given that,
Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.
Average speed is ( total distance ) / ( total time )
During the 1st 2 hrs:
distance = speed * time
distance = 15 *2 = 30 miles
During the last hour:
distance = speed * time
distance = 10 *1 = 10 miles
Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr
Therefore, their average speed for the trip is 10 mil/hr
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how many solutions are in 7x4=3x+5+10x
does the data give evidence of an association between scoring at least 21 points and the football team winning the game? there is a strong, negative association. there is a strong, positive association. there is a weak, negative association. there is a weak, positive association.
Considering the relative frequencies in this problem, the association between scoring 21 points and winning the game is as follows:
There is a strong, positive association.
What is a relative frequency?The relative frequency of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
From the table given at the end of the answer, we have that when the team scored at least 21 points, an interval composed of 28 games, the team won 25 games and lost only 3, hence the relative frequency of wins when the team scores at least 21 points is of:
25/28 = 0.8929 = 89.29%.
Due to this high frequency of wins, there is a strong and positive association between scoring 21 points and winning the game
What is the missing information?The table with the team's results is given by the image at the end of the answer.
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A manufacturer determines the cost of making a computer component is $3.232323 write the repeating decimal cost as a fraction and as a mixed number￼
Answer:
$320/99$3 23/99Stepbystep explanation:
You want the repeating decimal cost ...
[tex]\$3.\overline{23}[/tex]
written as a fraction and as a mixed number.
FractionOne can convert the repeating decimal to a fraction by multiplying it by a power of 10 equal to the number of repeating digits.
This cost number (C) has 2 repeating digits (23), so we want to multiply it by 10^2:
[tex]100C=10^2\times3.23\overline{23}=323.\overline{23}[/tex]
Now, we can subtract the original cost to cancel the repeating decimal fraction:
[tex]100C C = 323.\overline{23}3.\overline{23}=320[/tex]
Dividing by the coefficient of C, we have the fraction we want:
[tex]C=\boxed{\dfrac{320}{99}}[/tex]
Mixed numberThis is expressed as a mixed number by figuring the quotient and remainder.
[tex]\dfrac{320}{99}=\boxed{3\dfrac{23}{99}}[/tex]
graph the equation, y=x/34
Stepbystep explanation:
With the equation
y
=

−
x
+
3

−
4
, we know that the term inside the absolute value mark will never be less than zero, which means the smallest
y
can be is
y
=
−
4
. This value is achieved with

−
x
+
3

=
0
, putting
x
=
3
. So that is our first point,
(
3
,
−
4
)
.
We're dealing with
x
terms (versus
x
2
or
√
x
or any other form of
x
), so the graph coming off
(
3
,
−
4
)
will be lines. Since there the coefficient of the
x
term is 1, the slope of those lines will be 1 and
−
1
(with the x term inside the absolute value, we look at both
±
1
).
The standard graph for an absolute value graph is for it to be in the shape of a V. And so we can expect our graph to have points
(
4
,
−
3
)
and
(
2
,
−
3
)
 and we can plug in those values to prove it:
y
=

−
x
+
3

−
4
−
3
=

−
4
+
3

−
4
−
3
=

−
1

−
4
−
3
=
1
−
4
−
3
=
−
3
and
−
3
=

−
2
+
3

−
4
−
3
=

1

−
4
−
3
=
1
−
4
−
3
=
−
3
The graph itself will look like this:
graph{abs(x+3)4 [10, 10, 5, 5]}
Kamryn’s doctor recommended that she drink 64 fluid ounces of water every day. There are about 30 milliliters in 1 fluid ounce. Which measurement represents the number of milliliters in 64 fluid ounces?
HELP PLEASE DUE IN 10 MINS
64 fluid ounces contain 1920 milliliters.
64 oz of liquid is what?Oz to Half Gallon Conversions
A half gallon is equal to 64 ounces in a gallon measurement.
OZ or ML: Which is bigger?
A milliliter is equal to how many ounces. The conversion factor from fluid ounces to milliliter is 1 fluid ounce = 30 milliliter.
64 ounces is equal to how many glasses of water?This equates to eight 8ounce glasses or 2,000 ml (approximately 64 ounces) for a person who consumes 2,000 calories per day.
Given: She regularly drinks 64 fluid ounces of water.
1 fluid = 30 milliliters
=> 30 × 64 = 1920 milliliters
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Toolkit Function: f\left( x \right) = \sqrt x Transformation Description: Left 1What is the equation for the transformed function?f(x) = ‾‾√+1f(x) = +1‾‾‾‾‾√f(x) = 1‾‾‾‾‾√f(x) = −1‾‾‾‾‾√
we know that
The parent function is
[tex]f(x)=\sqrt{x}[/tex]The transformation is to shift 1 unit to the left
so
The rule of this translation is given by
(x,y) > (x1,y)
so
the equation for the transformed function is
[tex]f(x)=\sqrt{x+1}[/tex]tony buys 6 packages of cookies. each package of cookies cost $2.50. how much will he spend
Answer:
Tony will spend 15$.
Stepbystep explanation:
2.50 * 6= 15($)
What is the answer to # 11?
Answer:
40
Stepbystep explanation:
Go through PEMDAS
Exponents: 4∧0 = 1 and 1³ = 1
Multiply: 4 × 5 = 20 × 2 = 40
Add: 1 + 40 = 41
Subtract: 41  1 = 40
Six more than the quotient of a number and 9 equals 4
Answer: x= 18
Stepbystep explanation:
Your equation would be (x/9)+6=4
Subtract 6 by both sides.
Multiply 9 by both sides.
Then you should get 18.
Find the yintercept and the slope of the line. 3x+4y=7
Answer: m(slope) = 3/4, b(yint) = 7/4
Answer:
The slope is 3/4 and the y intercept is 74.
Stepbystep explanation:
I just know I had this question.
The diagram shows a driveway to be paved. The Lincoln family needs to determine the amount of Hot Asphalt Mix to purchase in order to pave their new driveway, which will have a 6inch base (thickness). The density of Hot Asphalt Mix depends on mix proportions and types of material used. Assuming a density of 145 pounds per cubic foot, how many tons of asphalt will the Lincoln family need to purchase?
Answer:
bbbbbbbbbbbbbbbb
kjajs
sound travels at a rate of about 1.1*10^3 feet per second. Suppose a mining company detonates a bundle of dynamite at a distance of 625 feet from a canyon wall. At the time of a detonation the miners sit safely at a distance of 2,600 feet from the dynamite. How long after detonation will the miners hear the echo of the blast off the canyon wall? Round to the nearest tenth if necessary.
what in your opinion is the moral in the story ?
Which equation could possibly represent the graphed function?
A polynomial function graph where the solid line intersects Xaxis on (minus 4,0), (minus 2,0) and (4,0). The same line intersects Yaxis at (minus 30, 0) and (2, minus 48)
A. f(x) = (x − 4)(x + 2)(x + 4)
B. f(x) = (x − 4)2(x − 2)
C. f(x) = (x + 4)2(x + 2)
D. f(x) = (x − 4)(x − 2)(x + 4)
Answer:
answer is A
as the graph cuts the x axis at 4 which is shown by (x4). and cut by 2 and 4 which is shown by (x+2) and (x+4).
Can you please help me out with a question
The probability of the outermost ring is 55.6%
3(x+1) +4 = 2x 2 + x
Answer:
No solution.
Stepbystep explanation:
3(x+1)+4=2x2+x
> distribute
3x+3+4=2x2+x
> simplify (add constants & x terms)
3x+7=3x2
> variable cancels out
7=2
> this is not true
Untrue statement; no solution.
Put empty parenthesis/brackets: [,] / (,) or simply put "no solution."
Write the equation of the line perpendicular to y=5/6x+7/6 that passes through the point (7,5)
The equation of the line perpendicular to y=5/6x+7/6 that passes through the point (7,5) is y = (6/5)x 17/5 .
In the question ,
it is given that the required line is perpendicular to y=5/6x+7/6 .
on comparing it with the slope intercept form of the line , we get
slope(m₁)= 5/6
So, the slope of the perpendicular(m₂) line will be
m₂= 1/m₁
m₂= 6/5
hence, slope(m₂) of the perpendicular line = 6/5
Given that the perpendicular line is passing through (7,5)
substituting the values in slope intercept form (y=mx+c) of the line , we get
5 = (6/5)(7) + c
5 = 42/5 + c
c = 542/5
= (2542)/5
= 17/5
y intercept = 17/5
so , the equation of the perpendicular line is y = (6/5)x 17/5 .
Therefore , the equation of the line perpendicular to y=5/6x+7/6 that passes through the point (7,5) is y = (6/5)x 17/5 .
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