A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent of values between -4.0 and 2.0?
please help will give brainlist!!!
Answers
A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.
What is the empirical rule?According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]
A normally distributed data set has a mean of 0 and a standard deviation of 2.
[tex]Z=(x-\mu)/\sigma[/tex]
[tex]P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1[/tex]
[tex]P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)[/tex]……….(by symmetry)
=.49865+.3413
.83995…….(by (http://83995…….by) table value)
=.8400 × 100
=84%
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Related Questions
Please help quickly
AB=AD and BC=DC
x=?
Answers
Answer:
x = 110
Step-by-step explanation:
measure of abd is 35, meaning adb is also 35.
so dab + abd + adb is 180
=> x + 35 + 35 = 180
=> x + 70 = 180
=> x = 180-70
=> x = 110
110 degrees is the value of x.
URGENT which of the following linear equations represents the data chart
Answers
Answer:
y = -x + 7
Step-by-step explanation:
y = x + 5 works for the first row, but fails for the rest.
y = x + 3 fails for the first row
y = -x + 7 works for the first row ( -1 + 7 = 6)
It works for the second row ( -2 + 7 = 5)
It works for the third row ( -3 + 7 = 4)
And it works for the final row ( -4 + 7 = 3)
In January 2020 oil price was $1251 but in April 2020 the price was $1902. What is the percent increase or decrease.
Write your answer without the % to the nearest tenths
Answers
Find the binomial coefficient (8/3)
Answers
Answer:
the binomial coefficient
What’s the Square root of 13.33
Answers
Answer:
3.65102725271
Step-by-step explanation:
Simplify 2x - 4) + 7(x + 2).
9x + 6
9x - 4
09x - 6
Answers
Simplify 2x - 4) + 7(x + 2).
9x + 6
9x - 4
09x - 6
= 9x+10
Original grade: 80
New grade: 100
Find the percent of increase.
107
Answers
Step-by-step explanation:
Based on the given conditions,
Formulate:(100-80)÷80
Calculate the sum or difference:20/80
Cross out the common factor:1/4
Multiply a number to both the numerator and the denominator:1/4×25/25
Write as a single fraction :25/4×25
Calculate the product or quotient :25/100
Rewrite a fraction with denominator equals 100 to a percentage:25%
Answer : 25%
Silver Springs Moving and Storage Inc. is studying the relationship between the number of rooms in a move and the number of labor
hours required for the move. Compute a correlation coefficient.
Rooms
Labor hours
Labor hours
Rooms
2.5
1
3
17
1
15
3
18
ed
1.5
35
1.5
28
2
19
33
9
40
ok
5
int
ences
8
16
17
2
15
2.5
16
2.5
24
3
3.5
4
4.5
5
Answers
The correlation coefficient of the dataset on the table is 0.8271
How to compute a correlation coefficient?See attachment for the proper table that represents the relationship
Next, we compute a correlation coefficient using a graphing calculator.
The graphing calculator has the following calculation summary:
X Values
∑ = 39.5Mean = 2.633∑(X - Mx)² = SSx = 20.733Y Values
∑ = 304Mean = 20.267∑(Y - My)² = SSy = 1410.933X and Y Combined
N = 15∑(X - Mx)(Y - My) = 141.467The correlation coefficient is calculated using:
[tex]r = \frac{\sum((X - \bar y)(Y - \bar x)) }{ \sqrt{(SSx)(SSy)}}[/tex]
So, we have:
[tex]r = \frac{141.467}{\sqrt{(20.733) * (1410.933)}}[/tex]
Evaluate
r = 0.8271
Hence, the correlation coefficient is 0.8271
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Please answer thxxxx
Answers
12^2 + 5^2 = c^2
169 = c^2
13 = c
please mark as brainliest :D
Hence, [tex]x=13cm[/tex].
What is the triangle?
A triangle is a two-dimensional shape, in Euclidean geometry, which is seen as three non-collinear points in a unique plane.
Here given that,
Perpendicular is [tex]12cm[/tex]
Base is [tex]5cm[/tex]
Hypotenuse is [tex]x[/tex]
As we know,
[tex]H^2=B^2+P^2[/tex] ........[tex](1)[/tex]
Now substitue these values in equation [tex](1)[/tex], we get
[tex]H^2=(5)^2+(12)^2\\\\x^2=25+144\\\\x^2=169\\\\x=\sqrt{169}\\\\x=13cm[/tex]
Hence, [tex]x=13cm[/tex].
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An angle measures 150.8° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
14.6°, 165.4°
Step-by-step explanation:
We can say that x is the supplementary angle and x + 150.8 is the other angle
Supplementary angles add up to 180°
x + x + 150.8 = 180
2x = 29.2
x = 14.6 | we found one of the angles
x + 150.8 = 165.4 | find the other angle
Two cars travel at the same speed to different destinations. Car A reaches its destination in 17 minutes. Car B reaches its destination in 32 minutes. Car B travels 25.6 miles and Car A travels 13.6 miles. How fast do the cars travel?
Answers
A bookshelf contains 9 mysteries, 7 biographies, and 4 science fiction books. If a book is selected at random. What is the probability of selecting a biography or a mystery?
Answers
The probability of selecting a biography or a mystery is 0.8
How to get the probability?
We assume that all the books have the same probability of being randomly selected.
The probability of getting a particular type of book is given by the quotient between the number of these books and the total number of books.
Here we want to find the probability of selecting a biography or a mystery, there are 9 mysteries and 7 biographies, and a total of 20 books in the shelf, so the probability is:
P = (7 + 9)/20 = 16/20 = 4/5 =0.8
The probability is 0.8
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line passing through points (3,5) with a slope of 1
Write equation of the line in point-slope, slope- intercept, and standard form.
Answers
The linear equation with a slope of 1 that passes through (3, 5) is:
y = x + 2.
How to get the linear equation?
The general linear equation is given by:
y = a*x + b
Where b is the y-intercept and a is the slope.
Here we know that the slope is 1, so we have:
y = x + b
And we also know that the line passes through (3, 5), then we must have that:
5 = 3 + b
We can solve that for b:
b = 5 - 3 = 2
So the linear equation is:
y = x + 2.
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A rectangle has a width that measures 11 in. and a length that measures 5.5 in.
Determine the area of the rectangle.
Answers
A = (11)(5.5)
A = 60.5
The area of the rectangle is 60.5 inches squared.
Answer: 60.5 in
Step-by-step explanation:
Area of rectangle = length times width
Length = 5.5 in
Width = 11 in
11 x 5.5 = 60.5
The area of the rectangle is 60.5 in
After sinéad lost 20% of her money, she had $1600 left. How much money did sinead lose?
Answers
Answer:
x - beginning money
x - .20x = 1,600
.80x = 1.600
Original money = 2,000
Therefore, Sinead lost $400.00
Step-by-step explanation:
which expression is equivalent to 2^5*2^x?
Answers
Using Law Of Indices
2^5+x
simplify (b-a)U(c-a)?
Answers
Answer:
Step-by-step explanation:
Write the measure in degrees.
Answers
Hi Student!
Looking at the question, we are given a fraction that has a pi symbol. We learn in trigonometry that a whole circle is made up of 2 * pi and we know that a circle is 360 degrees. That means that just having pi means that we have 180 degrees.
Therefore, looking at the fraction that was given to us, we can basically interpret it as 180 degrees / 4. That will give us a solution of 45 degrees which is our final answer.
Answer:
[tex]45^{\circ}[/tex]
Step-by-step explanation:
[tex]\dfrac{\pi}4 = \left(\dfrac{\pi }{4} \times \dfrac{180}{\pi} \right)^{\circ} = \left( \dfrac{180}4 \right)^{\circ} = 45^{\circ}[/tex]
GIVING BRAINLIEST AND MAX POINTS! ANSWER ASAPPP! The initial velocity of a projectile is 217 ft/sec, and the firing angle is 12°. Calculate the horizontal distance.
a
599 feet
b
699 feet
c
499 feet
d
799 feet
Answers
Answer:
a) 599 feet
Step-by-step explanation:
** As the measure of distance is in feet, we must use the value of gravity in ft/s² **
Constant Acceleration Equations (in ft)
s = displacement in ftu = initial velocity in ft/sv = final velocity in ft/sa = acceleration in ft/s²t = time in s (seconds)Assuming that the projectile is fired at an angle of 12° above the horizontal.
Consider the vertical and horizontal motion separately.
Vertical motion
First, find time by resolving vertically, taking up as positive and
g = 32 ft/s²
[tex]\begin{aligned}\textsf{Using}\quad s & =ut+\dfrac{1}{2}at^2\\\implies 0 & = 217 \sin 12^{\circ}t+\dfrac{1}{2}(-32)t^2\\0 & = 217 \sin 12^{\circ}t-16t^2\\t(16t-217 \sin 12^{\circ}) & = 0\\16t & = 217 \sin 12^{\circ}\\t & = \dfrac{217 \sin 12^{\circ}}{16}\\t & = 2.819802307...\: \sf s\end{aligned}[/tex]
Horizontal motion
Resolving horizontally, taking right as positive:
(The horizontal component of velocity is constant, as there is no acceleration horizontally)
s = su = 217 cos 12°v = 217 cos 12°a = 0t = 2.819802307...[tex]\begin{aligned}\textsf{Using}\quad s & =ut+\dfrac{1}{2}at^2\\\implies s & = (217 \cos 12^{\circ})(2.819802307...)+\dfrac{1}{2}(0)t^2\\& =598.5256808...\end{aligned}[/tex]
Therefore, the horizontal distance is 599 ft (nearest foot)
Is the following statement true? Justify your answer to get credit: “If X1, · · · , Xn are independently distributed, then for large enough n, the central limit theorem says that the sample mean Xn has a normal distribution.”
Answers
Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.
What does the Central Limit Theorem state?It states 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 sampling distribution is also approximately normal, as long as n is at least 30.
Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.
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Two angles are complementary. One angle measures (x+15) degrees and the other angle measures 40 degrees solve for x
Answers
Answer:
x = 35
Step-by-step explanation:
Complementary angles refers to a pair of angles which add up to make a 90° right angle.
Lets assume them as Angle A And Angle B.
Angles A = 40°
Angles B = x+15
Angle A + Angle B = 90°
40+15+x = 90°
x = 90 - 55
x = 35°
So, x = 35°
Solve 2(x + 1) = 2x + 2
Answers
Answer: ( −∞ , ∞)
Step-by-step explanation: Any value of x makes the equation true.
All real numbers
original equation
[tex]2(x+1)=2x+2[/tex]
distribute
[tex]2x+2=2x+2[/tex]
solve
[tex]2=2\\\\0=0[/tex]
the answer is 0.
How much time has passed?
Start time: 3:41 p.m. End time: 11:31 p.m.
Answers
Answer:
7 hours and 50 minutes.
Point M(4, 3) is translated according to the rule (x,y) → (x+2, y-5). What are the coordinates of M'?
Answers
Answer: (6,-2)
Step-by-step explanation:
[tex]M'=(4+2, 3-5)=\boxed{(6,-2)}[/tex]
John plots the point with the polar coordinates (3,5π6).
How does he plot this point?
Drag a value or phrase into each box to correctly complete the statements.
John first determines which line the angle of rotation places the point on. This line tells John that the point must lie in if r is positive or Response area if r is negative.
The radius of 3 tells John that the point lies on the third circle of the polar plane. The value of r is positive. Therefore, the point will lie Response area the angle of rotation.
Answers
This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.
How to find Polar Coordinates?
Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.
Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.
If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.
In case r is positive, the point will lie in the same quadrant as the angle of rotation.
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3x-4y=0 2x+y=110 no solution
Answers
Answer:
(x, y) = (40, 30)
Step-by-step explanation:
A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.
__
An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:
y = 110 -2x . . . . . . subtract 2x from both sides
Using this in the first equation gives ...
3x -4(110 -2x) = 0 . . . . substitute for y
11x = 440 . . . . . . . . . simplify, add 440
x = 40 . . . . . . . . . . divide by 11
y = 110 -2(40) = 30
The solution is (x, y) = (40, 30).
can you please help me with this i don’t understand
Answers
Answer:
(5, 2)
Step-by-step explanation:
understanding the questionThe question is asking you to express the temperature at 5 pm as a pair of graph coordinates.
Doing this requires that you ...
read from the graph the temperature at 2 pmread from the graph the temperature at 8 pmfigure the temperature halfway between those valuesexpress the 5 pm temperature as an ordered pair (hours, °C)__
reading the graphThe description of the graph tells you the horizontal scale is hours after noon, so the temperature at 2 pm will be a point on the graph with an x-coordinate of 2. That point is (2, 7), indicating the temperature at 2 pm is 7 °C.
Likewise, the temperature at 8 pm is shown as the point on the graph with x-coordinate 8. That point is (8, -3), indicating a temperature of -3°C at 8 pm.
halfway temperatureThe temperature halfway between those values (7 °C and -3 °C) can be found several ways. Perhaps the easiest is to average the values:
(7 +(-3))/2 = 4/2 = 2
The temperature at 5 pm is 2 °C.
coordinatesCoordinates on the graph are ordered pairs of the form (x, y) = (hours, °C). The time 5 pm is 5 hours after noon, so the x-coordinate is 5. The temperature at 5 pm is halfway between the temperatures at 2 and 8 pm, which we have computed to be 2 °C, so the y-coordinate is 2.
The coordinates that represent the temperature at 5 pm are ...
(5, 2)
What does 2 3/4 x 2 add all together?
Answers
Step-by-step explanation:
its confusing the way the numbers are placed. But..
if the question is 2 whole number times 3 ÷4x2
=2×3/4×2
=6/8
=3/4
if it's 2 whole number, 3/4 fraction, multiplied by 2
2³/⁴ × 2
=4×2+3=11/4
=11/4 ×2
=11/2 or 5 1/2
how to calculate annuity
Answers
Answer:
The formula for determining the present value of an annuity is PV = dollar amount of an individual annuity payment multiplied by P = PMT * [1 – [ (1 / 1+r)^n] / r] where: P = Present value of your annuity stream. PMT = Dollar amount of each payment. r = Discount or interest rate.
Step-by-step explanation:
Hope this helps :) :)
PLEASE HELP ASAP
What is an equation of the line that passes through the points (3, 2) and (6, -3)?
Answers
Answer:
(y+2)=2(x−3)
Or
(y−4)=2(x-6)
Or
y=2x−8
Step-by-step explanation:
Answer:
[tex]y= -\dfrac{5}{3} x+7[/tex]
In order to find equation:
Find slope:
[tex]\sf slope: \dfrac{y_2- y_1}{x_2 -x_1} = \dfrac{rise}{run}[/tex] where (x1, y1), (x2, y2)
[tex]\hookrightarrow \sf slope: \dfrac{-3-2}{6-3}[/tex]
[tex]\hookrightarrow \sf slope:- \dfrac{5}{3}[/tex]
Find Equation:
[tex]\boxed{\sf y - y_1 = m(x_1 -x)}[/tex] "m" is slope
[tex]\sf \rightarrow y-2 = -\dfrac{5}{3} (x-3)[/tex]
[tex]\sf \rightarrow y-2 = -\dfrac{5}{3} x+5[/tex]
[tex]\sf \rightarrow y= -\dfrac{5}{3} x+5+2[/tex]
[tex]\sf \rightarrow y= -\dfrac{5}{3} x+7[/tex]