The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.
For a normal distribution:
About 68% of the data lie within one standard deviation of the mean. About 95% of the data lie within two standard deviations of the mean. About 99.7% of the data lie within three standard deviations of the mean.Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164
Answer:
I believe it is 95%
Step-by-step explanation:
Find the equivalent exponential expression.
(4^2)4
Answer:
4^8
Step-by-step explanation:
If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.
(4^2)^4 = 4^(2 * 4) = 4^8
Use what you know about sine, cosine, and tangent to solve for the missing angle.
Answer:
it is a 30 degree angle
Step-by-step explanation:
find the missing side lengths
Answer:
[tex]x = \frac{2 \sqrt{3} }{3} [/tex]
[tex]y = 1[/tex]
Step-by-step explanation:
30, 60, 90 triangle
NEED HELP IN FIVE MINUTE PLZ HURRY
Answer:
R=.2,P=.25, G=.55
Step-by-step explanation:
On a piece of paper, graph y= see pic
Answer:
a
Step-by-step explanation:
assuming theyre asking you to graph y = (x-2)(x+3) -cant see the signs in your photo
the x-intercepts would be 2 and -3 , so option a!
In order to study the shoe sizes of people in his town, Billy samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used
Answer:
Stratified sampling
Step-by-step explanation:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Divided by groups(according to age)
A certain amount of each group is sampled.
Thus, stratified sampling is used.
PLS HELP. write as an expression. thank you:)
Answer:
[tex]x^{\frac{3}{2} } p^{6}[/tex]
Step-by-step explanation:
A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the probability that both will be orange
Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.
Find the value of each variable
Answer:
Step-by-step explanation:
30
The area of a square is given as (s³)6.
What is its perimeter?
Answer:
hi friends good evening
Can someone please help me with my maths question
Answer:
a) log 2 (48 ×3 ×9 )
log 2 1296
10.3
b) log 4 24 - log 4 3/4 log 4 2
log 4 36
2.58
Resuelve el siguiente problema:
•Una hamburguesa y papas contienen 1300 calorías si las
papas contienen
50 calorías más que la hamburguesa. ¿Cuál será las calorías totales de la
hamburguesa y de las papas?
Answer:
x= Hamburguesa
y=Papas
y=x+50
x+y=1300
x+(x+50)=1300
2x+50=1300
2x=1250
x=625
Calorias de Hamburguesa = 625
Calorias de Papas = 625+50 = 675
helppppppppppppppp me
Answer:
42
Step-by-step explanation:
5²+3(2)+5+6
25+6+5+6
31+11
42
Hope it helps
Select the correct answer from the drop-down menu.
A
The diagram shows a stage in the construction of a line perpendicular to GH through point A.
The next step in this construction is
Reset
Next
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The diagram is missing and so i have attached it.
Answer:
Next step is;
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
A perpendicular line is to be drawn to line GH through point A.
The steps are;
1. Identification of the two end points of the line which has been done.
2. Place one leg of the compass at point G and draw a small arc above the line GH. This has been done.
3. Without changing the span of the compass, place the same leg of the compass at point H and draw another small arc above the line GH to intersect the previously drawn small arc.
4. Make use of a straight object to connect the point of intersection of the two small arcs to the point A.
This line is the perpendicular line to GH.
In the figure attached, they have just finished point 2 I wrote above. Thus, the next step is point 3.
Answer:
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
Integral of 1 /x+ sq.root x^2-1
I'm assuming the integral is
[tex]\displaystyle \int \frac{\mathrm dx}{x+\sqrt{x^2-1}}[/tex]
Rationalize the denominator:
[tex]\dfrac1{x+\sqrt{x^2-1}} \times \dfrac{x-\sqrt{x^2-1}}{x-\sqrt{x^2-1}} = \dfrac{x-\sqrt{x^2-1}}{x^2-\left(\sqrt{x^2-1}\right)^2} = x-\sqrt{x^2-1}[/tex]
Then the integral is
[tex]\displaystyle \int\left(x-\sqrt{x^2-1}\right)\,\mathrm dx = \dfrac12x^2 - \int\sqrt{x^2-1}\,\mathrm dx[/tex]
For the remaining integral, substitute x = sec(t ) and dx = sec(t ) tan(t ) dt. Then over an appropriate domain, we have
[tex]\displaystyle\int\sqrt{x^2-1}\,\mathrm dx = \int\sec(t)\tan(t)\sqrt{\sec^2(t)-1}\,\mathrm dt = \int\sec(t)\tan^2(t)\,\mathrm dt[/tex]
Integrate by parts, taking
u = tan(t ) ==> du = sec²(t ) dt
dv = sec(t ) tan(t ) dt ==> v = sec(t )
Then
[tex]\displaystyle\int\sec(t)\tan^2(t)\,\mathrm dt = \sec(t)\tan(t) - \int\sec^3(t)\,\mathrm dt[/tex]
Now for *this* remaining integral, integrate by parts again, taking
u = sec(t ) ==> du = sec(t ) tan(t ) dt
dv = sec²(t ) dt ==> v = tan(t )
so that
[tex]\displaystyle\int\sec^3(t)\,\mathrm dt = \sec(t)\tan(t) - \int\sec(t)\tan^2(t)\,\mathrm dt \\\\ \int\sec^3(t)\,\mathrm dt = \sec(t)\tan(t) - \int\sec(t)(\sec^2(t)-1)\,\mathrm dt \\\\ \int\sec^3(t)\,\mathrm dt = \sec(t)\tan(t) - \int\sec^3(t)\,\mathrm dt + \int\sec(t)\,\mathrm dt \\\\ \int\sec^3(t)\,\mathrm dt = \frac12\sec(t)\tan(t)+\frac12\int\sec(t)\,\mathrm dt \\\\ \int\sec^3(t)\,\mathrm dt = \frac12\sec(t)\tan(t) + \frac12\ln\left|\sec(t)+\tan(t)\right| + C[/tex]
To summarize, if I denotes the original integral, we have
[tex]\displaystyle I = \frac12x^2 - \int\sqrt{x^2-1}\,\mathrm dx \\\\ I = \frac12x^2 - \int\sec(t)\tan^2(t)\,\mathrm dt \\\\ I = \frac12x^2 - \sec(t)\tan(t) + \int\sec^3(t)\,\mathrm dt \\\\ I = \frac12x^2 - \sec(t)\tan(t) + \frac12\sec(t)\tan(t) + \frac12\ln\left|\sec(t)+\tan(t)\right| + C \\\\ I = \frac12x^2 - \frac12\sec(t)\tan(t) + \frac12\ln\left|\sec(t)+\tan(t)\right| + C[/tex]
Putting everything back in terms of x, we have
sec(t ) = x
tan(t ) = √(x ² - 1)
so that
[tex]\displaystyle I = \boxed{\frac12x^2 - \frac12x\sqrt{x^2-1}+\frac12\ln\left|x+\sqrt{x^2-1}\right|+C}[/tex]
a triangle has a base measuring 6 feet and a height measuring 8.3 feet. How many triangles of this area would fit inside a rectangle with a width 12 feet and a length of 33.2 feet?
Area of the triangle = 1/2 x base x height
Area of triangle = 1/2 x 6 x 8.3 = 24.9 square feet.
Area of rectangle = length x width
Area of rectangle = 33.2 x 12 = 398.4 square feet.
To find the number of triangles that can fit in the rectangle divide the area of the rectangle by the area of the triangle:
398.4 / 24.9 = 16
Answer: 16 triangles
A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Answer:
the number A(t) of grams of salt in the tank at a time is A(t)=150-110e-t/50
Help anyone can help me do this question,I will mark brainlest. The question is find the area of the shaded region.
Answer:
13. 10
14. 51
Step-by-step explanation:
Answer:
13. 10
14. 51
Step-by-step explanation:
The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 14300. (a) Find a function that models the population t years after 2000 (t=0 for 2000). Hint: Use an exponential function with base e. Your answer is P(t)
Answer:
P(t) = 14300e^0.07t
Step-by-step explanation:
Let :
Population as a function of years, t = P(t) ;
Growth rate, r = 7%
Estimated population on year 2000 = Initial population = 14300
The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.
P(t) = Initial population*e^rt
P(t) = 14300*e^(0.07t)
P(t) = 14300e^0.07t
Where, t = number of years after year 2000.
If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.
True False
Answer:
false
Step-by-step explanation:
the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.
when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.
so, quadrupling the dimensions would multiply the areas by 16.
Which is equivalent to x3y–7? x cubed y Superscript 7 StartFraction x cubed Over y Superscript 7 EndFraction StartFraction x cubed Over y Superscript negative 7 EndFraction StartFraction y Superscript 7 Over x cubed EndFraction
Answer:
[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]
Step-by-step explanation:
Given
[tex]x^3y^{-7}[/tex]
Required
The equivalent
We have:
[tex]x^3y^{-7}[/tex]
Apply the following rule of exponents
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, we have:
[tex]x^3y^{-7} = x^3 * \frac{1}{y^7}[/tex]
[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]
Answer:
the 2nd one or B
Step-by-step explanation:
Carla attempted 12 free throw shots on a basketball court. She made 9 out of the shots. What is the experimental probability of Carla making a shot?
Answer:
75%
Step-by-step explanation:
9 ÷ 12 = 0.75
0.75 x 100 = 75 = 75%
Answer:
3/4
Step-by-step explanation:
Experimental probability, is the probability determined according to the results of an "experiment" or a trial. In Carla's "experiment", she attempted 12 total shots and made 9 shots. The probability that she made a shot would be 9/12, or 3/4.
what is 15 out of 24 as a percent?
Refer to the diagram for Exercises 1-3.
125°
xº
zº
y°
what is the value of y z and x
Answer:
x=180-125
=55
z=55
y=180-(55+55)
y=70
How many degrees are in 25n/18?
Answer:
250°
There are 250°……………
The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
100 tabletops
120 tabletops
240 tabletops
480 tabletops
Answer:
240
Step-by-step explanation:
The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?
Answer:
240 Tabletops
Question Two please help
Answer:
The similarity statement is RTS and ACB. Other options are correct
please help me i'm being timed
Answer:
B. A linear, partial variation
Step-by-step explanation:
We know that speed = distance / time. From the table we have a linear function, and it's indirect, or partial.
pls pls pls pls help me
.................................
is doesnt have any pictures pls help?
Answer:
diameter of a circle
Step-by-step explanation:
Answer:
A diameter of a circle
Step-by-step explanation:
given the construction we have to choose the construction which uses the compass for only one step in addition to drawing circle itself . show a diameter of a circle only e uses one stay in addition to draw circle itself