Answer:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Step-by-step explanation:
A density curve is a graph that shows probability.
There are a few properties that those curves have:
The curves are normalized, which means that the area inside the curve is always equal to 1 (or the 100% of possibilities).
And the probabilities are always defined with positive numbers between 0 and 1, which means that we can not have a density curve with elements below the horizontal axis.
From this, we can conclude that graph A is not a density curve (but neither of the two given options for graph A are correct, then we can discard these).
Now let's look at graph B.
We can see that all points are above the horizontal axis, so that is good.
Now let's compute the area inside the curve.
We can see two triangles, remember that the area of a triangle of base b and height h is:
A = (b*h)/2
To calculate the base in the image, just take the difference between the rightmost vertex and the left vertex.
The base of the left triangle is b = (-3 - (-5)) = 2, and the height is h = 0.25
Then the area is:
A1 = (2*0.25)/2 = 0.25
The base of the right triangle is b = (3 - (-3)) = 6, and the height is h = 0.25
Then the area of this triangle is:
A2 = (6*0.25)/2 = 0.75
If add these areas, we get:
Total area = A1 + A2 = 0.25 + 0.75 = 1
Total area = 1
So we have an area under the curve equal to 1, which means that graph B is a valid density curve.
And the correct option is then:
Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =
Answer:
4/7 (I may be wrong)
Step-by-step explanation:
There are 7 numbers, of which 4 are even. This could be %100 wrong/right.
What is 1/3÷9? hurry!
Exact Form:
1/27
Decimal Form:
0.037 (with a line over 037)
Challenge How many flowers, spaced every 6 in., are needed to surround a circular garden with a
200-ft radius? Use 3.14 for it.
Williams, Aaily
flowers are needed to surround the circular garden.
Answer:
1,256 flower
Step-by-step explanation:
First, we need to calculate the circumference of the circle. The formula for the circumference of the circle is:
C
=
2
π
r
If we substitute
100
ft
for
r
and use
3.14
to approximate
π
we get a circumference of:
C
=
2
⋅
3.14
⋅
100
ft
C
=
6.28
⋅
100
ft
C
=
628
ft
We can now convert the circumference in feet to inches;
628
ft
×
12
in
1
ft
⇒
628
ft
×
12
in
1
ft
⇒
628
×
12
in
⇒
7536
in
To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:
7536
in
×
1
flower
6
in
⇒
7536
in
×
1
flower
6
in
⇒
7536
×
1
flower
6
⇒
7536
flower
6
⇒
1256
flower
You would require 1,256 flowers
GIVING BRAINLIEST!!!!!PLS HELP!!!!!! :((
(28+7+6+3) x 1/2
SHOW UR WORK PLS
Answer:
22
Step-by-step explanation:
28+7+6+3=44
44/2 or 44*1/2 = 22
Giving brainlist to whoever answers
Answer:
10 I believe I really hope it helped!
Step-by-step explanation:
Answer:
That's easy! 10 times
Step-by-step explanation:
60 divided by 6 is 10
Danielle has to walk 2 miles to reach a hidden temple. She has walked 1 1/4 miles, how many more miles does Danielle need to walk to reach the hidden temple.
Answer:
[tex]\dfrac{3}{4}\ miles[/tex]
Step-by-step explanation:
Total distance to a temple = 2 miles
She has walked 1 1/4 miles or 5/4 miles
More miles to reach the hidden temple = total distance - walked distance
[tex]=2-\dfrac{5}{4}\\\\=\dfrac{8-5}{4}\\\\=\dfrac{3}{4}[/tex]
So, she has to travel [tex]\dfrac{3}{4}[/tex] miles to reach the hidden temple.
Somebody please help me plsssss
Given:
The radius of the cylinder = 2 cm
Height of the cylinder = 5 cm
To find:
The volume of the cylinder.
Solution:
We know that, the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]r=2,h=5[/tex] in the above formula, we get
[tex]V=\pi (2)^2(5)[/tex]
[tex]V=\pi (4)(5)[/tex]
[tex]V=20\pi [/tex]
Therefore, the volume of the cylinder is [tex]20\pi [/tex] cubic cm and its approximate value is 62.832 cubic cm.
A shirt costs $20. A pair of pants costs 30% more than the shirts. How much do the pants cost?
Answer:the pants are 26 dollars
Step-by-step explanation:
20.00+30%= 26.00
30%=6.00
Kelly has $100 she received for her birthday She saves $10 each week from doing chores Which function can be used to find t the amount of money Kelly will have saved
Answer:
$620 every year
Step-by-step explanation:
Since the question didn't specify how long she would have to save for, let's just assume that it's one year. There are 52 weeks in a year which is $520, and on her birthday she would have an extra $100, so every year she saves $620 in total.
any help is appreciated because I have a probe in a couple of hours
I'm wondering if someone could explain to me being thorough with the steps how 1+1/x² could equal
x²+1/x²
where did the second x² come from???
A population of 120 beetles increases at an annual rate of 30%. How many beetles will there be in 16 years? Write an expression to represent the equivalent monthly population increase rate.
Answer:
Expression: [tex]120(1.3)^{16}[/tex]
Beetles after 16 years: 7984 beetles
Step-by-step explanation:
Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following
A = P (1 + r/n) (nt)
A = the future amount
P = the initial amount
r = the annual increase rate (decimal)
n = the number of times that interest/increase is compounded per unit t
t = the number of years
Using the values in the question the expression for this scenario would be the following
120(1 + (0.30 / 1))^(1*16)
[tex]120(1.3)^{16}[/tex]
7984.99
can someone please help me with this?
Answer:
25 so C
Step-by-step explanation:
2x + 11 = 5
If a and b are the solutions to the equation above, what is the value of |a – b| ?
Answer:
x = 3
Step-by-step explanation:
2x + 11 = 5
- 11 -11
2x/2 6
x = 3
Can someone help me with this. Will Mark brainliest. Need answer and explaination/work. Thank you.
Answer:
Yes, quadrilateral MATH is a rectangle.
Step-by-step explanation:
If you plot the coordinates onto a graph, you will get a rectangle. You can determine it is a rectangle because there are four right angles, and two adjacent sides that are equal in length.
M (-4,-1)
A (-3,2)
T (3,0)
H (2,-3)
translation math
pls dont give me any link
Answer: C
Step-by-step explanation:
Write the linear equation given slope and point.
(-4,-7); slope = 3
Answer:
Step-by-step explanation:
Use the "point-slope" formula for the equation of a straight line,
y - k = m(x - h)
Here the slope, m, is 3 and the line passes through (h, k): (-4, -7), so the proper equation in this case is
y - (-7) = 3(x + 4), or:
y + 7 = 3(x + 4).
If you wish you may rewrite this equation in slope-intercept form, as follows:
y = 3x - 7 + 12, or y = 3x + 5
I will mark brainliest
Answer:
I think that it is positive 650.
Answer:
you got it
Step-by-step explanation:
that is itdescribe your answer to gt i wrie u are doing a test
find the midpoint of the given points
(-8,4),(3,-4)
Answer:(-2.5,0)
Step-by-step explanation:
MP=(-8+3/2,4+(-4))=(-2.5,0)
Is u = 105 a solution to this equation
Answer:
im sorry what?
Step-by-step explanation:
15 is 9 than j what is j in this question
Answer:
6
Step-by-step explanation:
15 is 9 more hence you subtract 9 from15
Hope this helps
A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?
Answer:
813.681818182
(That's the exact number, but you can circle it to 813.7 )
Step-by-step explanation:
459%22=20.8636363636
20.8636363636 x 39= 813.681818182
Please help me with this question!!
Answer:
Step-by-step explanation:
Mabye 7?
Josea went out to dinner at an Indian restaurant. The
total bill was $38. She wanted to leave a 15% tip.
If you use the idea of scaling to find the tip amount,
what would she need to multiply by?
Find the area of given shape.
Answer:
124
Step-by-step explanation:
Find area of rectangle
than arrow
then add
Answer:
144
Step-by-step explanation:
What best describes how many real number solutions the equation has?
Answer:
zero, because the discriminant is negative
Step-by-step explanation:
By writing the quadratic formula, we have the discriminant written in the root as;
b^2-4ac
Now, given the expression, we can see that the discriminant here is -19
What this mean is that we have a negative discriminant
Hence, we can conclude that the roots are complex and as such, none of the roots are real
Can someone please help me and tell me the answers
I hope this helps you
1) x=180-130.2
x=49.8
2) x+71.5=90
x=90-71.5
x=18.5
3) x+54=90
x=90-54
x=36
4) x+35=180
x=180-35
x=145
What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
A. 660 cm2
B. 652 cm2
C. 326 cm2
D. 432 cm2
Answer:
The answer is b I searched it on goggle and did the math.
Step-by-step explanation:
please help me . if you dont know the answer please do not answer it
Answer:
Option D
Step-by-step explanation:
Type of a polynomial is decided by the maximum degree of the variable.
In the given polynomial [tex]-\frac{2}{3}b^3[/tex], maximum power of the polynomial is 3.
Therefore, given polynomial is a cubic polynomial.
Option D is the correct option.
The ratio of cyclists to pedestrians on a certain trail was 2 to 7. If there were 27 people on the trail, how many more pedestrians were there than cyclists?
Answer:
15 more pedestrians than cyclists
Step-by-step explanation:
2:7 ratio tells us two cyclists for every seven pedestrians so out of every 9 people 2 are cyclists and 7 are pedestrians.
27/9=3
So we have 3 groups of 9...
3×2=6
&
3×7=21
so
6 cyclists and 21 pedestrians
subtract cyclists from pedestrians to find difference...
21-6=15
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?
Answer:
231.59 years
Step-by-step explanation:
To model this situation we are going to use the exponential decay function:
f(t)= a (1-b)^t
where f(t) is the final amount remaining after t years of decay
a is the final amount
b is the decay rate in decimal form
t is the time in years
For Substance A:
Since we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r = 0.15/100 = 0.0015. Replacing the values in our function:
f(t) = a (1-b)^t
f(t) = 300 (1-0.0015)^t
f(t) = 300 (0.9985)^t equation (1)
For Substance B:
Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r=0.37/100= 0.0037. Replacing the values in our function:
f(t) = a (1-b)^t
f(t)= 500 (1-0.0037)^t
f(t)=500(0.9963)^t equation (2)
Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:
M=300(0.9985)^t equation (1)
M=500(0.9963)^t equation (2)
We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :
{M=300(0.9985)^t
{M=500(0.9963)^t