Answer:
bbbbbbbbbbbbbbbbbbbbb
From the density in the diagram, the probability that X is between 0.5 and 1.5 is 1/2. Option B
How do we solve for the probability density?The probability density function of a random variable X is a function that gives the probability that X will take on a certain value.
In this case, the probability density function is a line segment that goes from 0 to 1.
The probability that X is between 0.5 and 1.5 is the area under the probability density function between 0.5 and 1.5.
This area is equal to the length of the line segment between 0.5 and 1.5, which is 1.
Therefore, the probability that X is between 0.5 and 1.5 is 1/2. Option B
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Full question
The Probability Density Of A Random Variable X Is Given In The Following Figure.
.........................................................
|........................................................|
0 1 2
x
From this density, the probability that X is between 0.5 and 1.5 is:
a. 1/3,
b. 1/2.
c. 3/4
d. 1.
The surface area of a cone with radius r units and slant height s units is shown below: Surface area = 3.14(rs + 2) Part A: Ifr= 6 units and s = 4 units, write an expression that can be used to calculate the surface area of the cone. (4 points) Part B: What is the surface area of the cone? Show your work. (6 points)
Answer:
188.4 units²
Step-by-step explanation:
Hi there!
Part A
Surface area of a cone = [tex]3.14(rs+r^2)[/tex] where r is the radius of the base and s is the slant height
⇒ r = 6
Replace r with 6
[tex]3.14(6s+6^2)[/tex]
⇒ s = 4
Replace s with 4
[tex]3.14(6*4+6^2)[/tex]
Part B
Evaluate the expression found in Part A:
[tex]3.14(6*4+6^2)[/tex]
Find 6²:
[tex]=3.14(6*4+36)[/tex]
Find 6*4:
[tex]=3.14(24+36)[/tex]
Find 24+36:
[tex]=3.14(60)\\=188.4[/tex]
Therefore, the surface area of the cone is 188.4 units².
I hope this helps!
Which of the following statements is true for the following data set?
7, 5, 6, 4, 7, 8, 12
a. Only the mean and median are equal.
b. Only the mean and mode are equal.
c. Only the median and mode are equal.
d. The mean, median, and mode are all equal.
Answer:
D.
Step-by-step explanation:
Mean : 7 + 5 + 6 + 4 + 7 + 8 + 12 = 12 + 10 + 7 + 20 = 30 + 19 = 49. 49/7= 7
Mode : 7.
Median 4 , 4, 6, 7, 7, 8, 12. 7 is the middle number
If Y=x-5 and 20y -5y=15 what is the value of X?
Answer:
X=6
Step-by-step explanation:
20 × 1 or y = 20
5 × 1 or y = 5
20 - 5 = 15
1 or y + 5 = 6
What is the equation of the line that passes through the point (8,−3) and has an undefined slope?
Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Recall that horizontal lines have a slope of zero, while vertical lines have an undefined slope.
Therefore, the line must be vertical.
And since it is vertical, we will only need to consider the x-coordinate of our point.
The x-coordinate of (8, -3) is 8.
Hence, the equation of the line that passes through (8, -3) with an undefined slope is:
[tex]x = 8[/tex]
Answer: x= 8
Step-by-step explanation:
It is a vertical line that passes through point 8 on the x axis.
«
Use complete sentences to describe how simplifying expressions with multiple logarithms makes evaluating
expressions less complicated.
Step-by-step explanation:
bracket first in simplify
Escribe ordenadamente cinco números enteros que sean mayores que -2, con el signo adecuado
Answer:
-1, 0, 1, 2, 3
Step-by-step explanation:
Los números son mayores a medida que se mueven hacia la izquierda de la recta numérica, por lo que retrocederá desde -2
find the radius of a circle which has a sector of area 9 square meters determined by a central angle 1/3 radian
Answer:
L = length of arc , R = radius
radian angle = L / R
L = R* radian angle
L = R * 1/3
L = R/3 #1
Area of sector = 1/2 L*R
By substitution using #1
Area of sector = 1/2 * R/3 * R
9 = R^2 /6
R^2= 6*9
R^2= 36
R =✓36
R = 6
100 points-Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)^x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.
Step-by-step explanation:
Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:
A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time
Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.
Thus, to combine these, we simply multiply them together to get:
h(x) * s(x) = 200(1.05)^(x - 1)
ps.can u pls mark me as the brainliest you'll also get point for that;)
Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function
[tex]\rm h(x) = 200[/tex]
She reads about a bank that has savings accounts that accrue interest according to the function
[tex]\rm s(x) = (1.05)^{x-1}[/tex]
[tex]A = P(1 + r)^n[/tex]
where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.
To combine these, we simply multiply them by each other, yielding:
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
More about the compound interest link is given below.
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Can anyone write out "the sum of 2 and the quotient of b is 5 when b equals 9" in numbers?
Answer:
2+b=5, b=9
Step-by-step explanation:
f(2) if f(x) = 3x + 5. f(2)?
Answer:
f(2) = 11
Step-by-step explanation:
Plug 2 in for x
3(2) + 5
6 + 5
= 11
the temperature was -6 degree ferahit. it rose so that the temperature was 0 degree ferahit . what represents the change in temperature
Answer:-6+6=0
Step-by-step explanation: basically just put the sentence into an equation.
d=degrees farenheit
-6d+6d =0d
Answer:
if ur wondering on how to solve it u should solve it by an equation.
Step-by-step explanation:
just make sure to explain us answer and the answer is 6+6=0
6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals
evaluate the expression when x=3
Answer:
2. 12
5. 30
Step-by-step explanation:
Put 3 instead of x
2. [tex]\frac{36}{x}[/tex]
= [tex]\frac{36}{3}[/tex]
= 12
5. 10x
= 10 × 3
= 30
The school choir ordered 436 pumpkin pies to sell as a fundraiser. The pies were shipped in 4 bins. Each bin held the same number of pies how many pies were in each bin
109 pumpkins
Step-by-step explanation:
I don't think this is right but
what is the greatest common factor of 97 and 24?
Answer:
1
Step-by-step explanation:
The GCF of 24 and 97 can be obtained like this:
The factors of 24 are 24, 12, 8, 6, 4, 3, 2, 1. The factors of 97 are 97, 1. The common factors of 24 and 97 are 1, intersecting the two sets above. In the intersection factors of 24 factors of 97, the greatest element is 1. Therefore, the greatest common factor of 24 and 97 is 1.NJ Transit raises its train fees. Snooki wants to visit her parents which used to cost $28 but they increased the fares by 15%. What will the ticket cost now?
Answer: 32.20$ Train Fee
Step-by-step explanation:
15% of 28 is 4.20... 4.20 will be added to the current Train Fee
28.00$
+ 4.20$
32.20$
Final result: The Train Fee will be 32.20$
Can someone please show me how to solve (-6)=-x+b with steps?
Answer:
x = 6+b
Step-by-step explanation:
-6 = -x+b
Subtract b from each side
-6-b = -x+b-b
-6-b = -x
Multiply each side by -1
6+b = x
Please help I’ll give brainly !! FAST THANK YOUUUU
[tex]\\ \rm\longmapsto \sqrt[3]{8}=2[/tex]
[tex]\\ \rm\longmapsto \sqrt[3]{-8}=-2[/tex]
Answer:
All integers have only one cube root.
Because it is an inverse of an odd degree (3) exponent.
x³ = 8∛x³ = ∛8x = 2And
x³ = -8∛x³ = ∛-8x = -2The area of a circle is 78.5 cm^2. What is the diameter of the circle?
-5 cm
-10 cm
-12.5 cm
-39.25 cm
Answer:
10cm
Step-by-step explanation:
78,5=pi.r^2
Answer5:
Step-by-step explanation:
I will mark as brainliest if you can answer. :)
not enough information
make d the subject of the formula h= d/3 + 2
Answer:
d= 3h-6
Step-by-step explanation:
h= d/3+2
h-2= d/3
d= 3(h-2)= 3h-6
Answer:
d = 3h - 6
Step-by-step explanation:
[tex]h = \frac{d}{3} + 2[/tex]
subtract 2 on all sides :
[tex](h) - 2 = (\frac{d}{3} + 2) - 2 \\ \\ h - 2 = \frac{d}{3} [/tex]
multiply 3 on all sides:
[tex](h - 2) \times 3= \frac{d}{3} \times 3 \\ \\ 3(h - 2) = d[/tex]
open bracket:
[tex]d = 3h - 6[/tex]
Solve the system of equations.
y=3x + 24
y=9x
Answer:
x = 4
y = 36
Step-by-step explanation:
use substitution
y=3x+24
y=9x
therefore . 9x=3x+24
x = 4
sub 4 in for x and solve for y
y = 9(4) = 36
brainiest to whoever right !
Answer:
m<RST = 32°
m<TSQ = 58°
Step-by-step explanation:
m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.
m<RSQ + m<TSQ = m<RST
15x — 43 + 8x + 18 = 90
23x — 25 = 90
+25 +25
---------------------------
23x = 115
/23 /23
----------------------------
x = 5
Now, plug this into the equation for m<RSQ and m<TSQ to find their values.
m<RSQ = 15x — 43
= 15x - 43
= 15(5) - 43
= 75 - 43
= 32
m<TSQ = 8x + 18
= 8x + 18
= 8(5) + 18
= 40 + 18
= 58
Now, check to see if our values are right or not.
15x — 43 + 8x + 18 = 90
15(5) — 43 + 8(5) + 18 = 90
75 - 43 + 40 + 18 = 90
32 + 40 + 18 = 90
90 = 90 CORRECT
help me solve this question
Answer:
if you scored a 83 on every test in a class your standard deviation would be 0. The point is that the bigger the standard deviation the more "variation" you will find in the raw numbers.... "D" (international equities) is the answer to this question...
it has the highest percent for the standard deviation, this it is the
MOST IN-COSISTENT
Step-by-step explanation:
If a set S has a total of 6 subsets that consist of 2 members each, then S consists of how many members
A set S has four members if there are six subsets of it, each with two members.
The combination formula, which is given by: can be used to determine the total amount of subsets with two members each.
[tex]^nC_k= \dfrac{n!}{(k!(n-k)!)}[/tex]
There are 6 subsets in this situation, each with 2 members.
So, [tex]^nC_2[/tex] = 6
Simplifying the equation:
n! / (2!(n-2)!) = 6
n(n-1) / (2 x 1) = 6
n(n-1) / 2 = 6
n(n-1) = 12
Expanding the equation:
[tex]n^2 - n = 12[/tex]
[tex]n^2 - n - 12 = 0[/tex]
Factoring the quadratic equation:
(n - 4)(n + 3) = 0
When all factors are set to zero and n is calculated:
n - 4 = 0 or n + 3 = 0
n = 4 or n = -3
Since n must be a positive integer.
So, n = 4 is the valid solution.
Thus, set S consists of 4 members.
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in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill
Evaluate the variable expression x + y for the given values of x and y. x = 38,221; y = 51,671
Answer:
89,892
Step-by-step explanation:
[tex]x+y[/tex]
[tex](38,221)+(51,671)[/tex]
[tex]89,892[/tex]
4. Factor: x2 – 36
Help please and show me the work on how to do it
Step-by-step explanation:
(X)^2 - (6)^2
= (x-6)(X+6)
Answer:
[tex](x - 6) \times (x + 6)[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 36[/tex]
write in exponential form.
[tex] {x}^{2} - {6}^{2} [/tex]
factor:
[tex](x - 6) \times (x + 6)[/tex]
the length of each side of a square is multiplied by 4. how many times longer is the new perimeter than the old perimeter??
Answer:
The answer will befour times
does the table represent a function
Answer:
Yes, the table represents a function.
Step-by-step explanation:
A function doesn't have multiple x values (inputs).
If the table were to have more than one 5 (or more than one 4 etc.) in the input column then it would not be a function.
