Answer:
Step-by-step explanation:
1 ) No of total slips after addition = 11
8 slip with 3 on it
3 slips with 9 on it
expectation value = probability of 3 x 3 + probability of 9 x 9
= (8 / 11) x 3 + (3 / 11) x 9
24 / 11 + 27 / 11 = 4.636
2 )
No of total slips after addition = 12
8 slip with 3 on it
4 slips with 9 on it
expectation value = probability of 3 x 3 + probability of 9 x 9
= (8 / 12) x 3 + (4 / 12) x 9
2 + 3 = 5
3 )
Let n be the required number
No of total slips after addition = 10+n
8 slip with 3 on it
2 + n slips with 9 on it
expectation value = probability of 3 x 3 + probability of 9 x 9
= (8 / 10+n ) x 3 + (2+n / 10+n ) x 9 = 6
24 + 18 + 9n / 10 + n = 6
42 + 9n = 60 + 6n
3 n = 18
n = 6
4 )
Let n be the required number
No of total slips after addition = 10+n
8 slip with 3 on it
2 + n slips with 9 on it
expectation value = probability of 3 x 3 + probability of 9 x 9
= (8 / 10+n ) x 3 + (2+n / 10+n ) x 9 = 8
24 + 18 + 9n / 10 + n = 8
42 + 9n = 80 + 8n
n =
n = 38
Minimum of 38 has to be added .
800,000+6,000+300+2 expanded form
Answer:
because its already in expanded, all I can say is normal form would be
806,302.
Evaluate the difference quotient for the given function f(x)=4+3x.
Answer:
If x=1 then f(x)=-3
Step-by-step explanation:
The formula for the volume V of a cylinder is LaTeX: V=\pi r^2hV = π r 2 h, where r is the radius of the base and h is the height of the cylinder. Select the formula for h. Then select the height of a cylinder with a volume of LaTeX: 36\pi36 π cm3 and a base with a radius of 3 cm.
Answer:
[tex] h = 4 cm [/tex]
Step-by-step explanation:
Volume of cylinder is given as [tex] V = \pi r^2h [/tex],
r = radius of base of cylinder, h = height of the cylinder.
Let's make h (height) the subject of the formula (i.e. select the formula for h).
[tex] V = \pi r^2h [/tex]
Divide both sides by πr²
[tex] \frac{V}{\pi r^2} = \frac{\pi r^2h}{\pi r^2} [/tex]
[tex] \frac{V}{\pi r^2} = h [/tex] (πr² crosses out πr²)
Rewrite the formula:
[tex] h = \frac{V}{\pi r^2} [/tex]
Given a cylinder of Volume (V) = 36π cm³, and radius (r) = 3 cm,
height of the cylinder can be selected by plugging these values into the formula for h (height) we selected above. Thus:
[tex] h = \frac{36 \pi}{\pi 3^2} [/tex]
Simplify:
[tex] h = \frac{36 \pi}{\pi * 9} [/tex]
[tex] h = \frac{36}{9} [/tex] (π crosses out π)
[tex] h = 4 cm [/tex]
I’m lease help with both questions! Thanksss
Add.
0.6+(-2.1)
Enter your answer, as a decimal, in the box.
Answer:
0.6-2.1=1.5
Step-by-step explanation:
0.6-2.1=-1.5
0.6-2.1= - I2.1-0.6I
2.1
-0.6
--------
1.5
In five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela. How old is each now?
Answer:
7 and 5
Step-by-step explanation:
The present age of Khalil is 7 years and the present age of Angela is 2 years.
Given that, in five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the present age of Khalil be x-5.
In five years:
Khalil's age = x-5+5=x
Angela's age = Khalil's present age
Angela's age = x-5
So, present angle of Angela's age = x-5-5=x-10
In three years:
Khalil's age = x-5+3=x-2
Angela's age =x-10+3=x-7
So, x-2=2(x-7)
⇒ x-2 = 2x-14
⇒ x=12
Khalil's present age = x-5=7 years and Angela's present age = x-10=2 years.
Therefore, the present age of Khalil is 7 years and the present age of Angela is 2 years.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Sophia is flying to New York with her family. The plane ascends to 13,045 feet above sea level. After flying at that altitude, the plane begins to descend at a rate of 250 feet per minute. What is the elevation after 12 minutes?
How do you solve m-2=-2+m
m - 2 = -2 + m
Let's rearrange the right side of this equation.
m - 2 = m - 2
Any value of m makes this equation true.
m = all real number or (-∞, ∞)
On a baseball team, the ages of each of the players are as follows: 21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33; 34; 35; 36; 36; 36; 36; 38; 38; 38; 40 Use your calculator or computer to find the mean and standard deviation. Then find the value that is two standard deviations above the mean.
Answer:
Mean = 30.68
Standard deviation = 6.095
Two standard deviations above the mean = 42.87
Step-by-step explanation:
Given the following data :
21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33; 34; 35; 36; 36; 36; 36; 38; 38; 38; 40
Mean = Σ(x) / n
n = 25
Σ (X) = 767
Mean (m) = 767 / 25
Mean (m) = 30.68
Standard deviation : sqrt[Σ(x - m) / n]
Using a calculator :
Standard deviation = 6.095 ( 2 decimal places)
2 standard deviations above the mean :
Mean + 2(standard deviation)
Mean + 2(6.095)
30.68 + 12.19
30.68 + 12.19
= 42.87
what are my math is the $1.23 and 5
[tex]79[/tex]
[tex]dh \\ [/tex]
Answer:
6.23
Step-by-step explanation:
good
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.3 Mbps. The complete list of 50 data speeds has a mean of x=18.29 Mbps and a standard deviation of s=20.59 Mbps.
a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the carrier's highest data speed to a z score.
d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Highest speed measured = 71.3 Mbps
Mean speed (x) = 18.29 Mbps
Standard deviation (s) = 20.59
a.) What is the difference between carrier's highest data speed and the mean of all 50 data speeds?
(71.3 - 18.29) Mbps = 53.01 Mbps
b. How many standard deviations is that [the difference found in part (a)]?
53.01 / 20.59 = 2.57
c. Convert the carrier's highest data speed to a z score.
Zscore = (score - mean) / standard deviation
Zscore = (71.3 - 18.29) / 20.59
Zscore = 2.57
d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Yes, this highest speed is significant as it's Zscore is higher than 2 (2.57).
Put these numbers in order from least to greatest.
-3, 12/20, 9/18
Answer:
-3. 9/18, 12/20
Step-by-step explanation:
-3 is -3
9/18 is 0.5
12/20 is 0.6
Find the volume of the prism.
60 ft^2
42 ft^2
9 ft^3
24 ft^3
48 ft^3
Answer:
[tex] \boxed{\sf Volume \ of \ the \ prism = 24 \ ft^3} [/tex]
Given:
Length = 4 ft
Width = 2 ft
Height = 3 ft
To Find:
Volume of the prism
Explanation:
Prism in the the figure given is a rectangular prism.
Volume of rectangular prism is same as volume of cuboid.
Volume of rectangular prism = Length × Width × Height
= 4 × 2 × 3
= 24 ft³
what does b equal i need help
Note that ∠A + ∠B = 180°
Therefore:
(8x + 74°) + (2x + 56°) = 180°
Simplify:
10x + 130° = 180°
Subtract both sides by 130°:
10x = 50°
Divide both sides by 10:
x = 5
Plug x into ∠B:
∠B = 2(5) + 56° = 10 + 56° = 66°
Step-by-step explanation: If two parallel lines are cut by a transversal,
then same side interior angles are supplementary.
So in this problem, we know that m<A + m<B = 180°l.
~substitute
8x + 74 + 2x + 56 = 180
~simplify
10x + 130 = 180
10x = 50
x = 5
If we know that x = 5, we can use this information to find <b.
So we have 2(5) + 56 or 10 + 56 which is 66.
So x = 5 and m<B = 66°.
JUST THE ANSWER PLS !
What is the value of the expression below when w =8 and x = 4
Answer:
92
Step-by-step explanation:
Step 1- Substitute the variables.
9(8)+5(4)
72+20
Step 2- Add
72+20= 92
8(13 + 2y)
Which expression is equivalent to the expression above?
13 + 16y
B
16 + 104y
C
104 + 16y
D.
104 + 2y
Answer:
c
Step-by-step explanation:
Se sabe que la diagonal de un cuadrado mide 15 cm ¿cuánto mide su área?
Answer: 112.36cm^2
Step-by-step explanation:
Un cuadrado tiene 4 lados de igual longitud.
Si dibujamos la diagonal del cuadrado, podemos ver la imagen como dos triángulos rectángulos.
Donde los lados del cuadrado son los catetos, y la diagonal es la hipotenusa.
Ahora, recordando el teorema de Pitágoras, tenemos que, si A y B son catetos, y H es la hipotenusa:
A^2 + B^2 = H^2
En este caso sabemos que los catetos son iguales (por que es un cuadrado)
A = B.
Y también sabemos que H = 15cm.
A^2 + A^2 = (15cm)^2
2*A^2 = (15cm)^2
A = √((15cm)^2/2) = 15cm/√2 = 10.6 cm.
Ahora conocemos L, el largo de los lados de nuestro cuadrado.
L = 10.6cm
Y sabemos que el área de un cuadrado es igual a el cuadrado de uno de los lados:
Área = L^2 = (10.6cm)^2 = 112.36cm^2
Find the value of 643.22 + 132.20 + 147.013
☽------------❀-------------☾
Hi there!
~
Find the exact value using trigonometric identities.
[tex]643.22 + 132.20 + 147.013 = 922.433[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
922.433
Step-by-step explanation:
[tex]\frac{\begin{matrix}\space\space&\textbf{1}&1&\space\space&\space\space&\space\space&\space\space&\space\space\\ \space\space&\textbf{6}&4&3&.&2&2&0\\ \space\space&\textbf{1}&3&2&.&2&0&0\\ +&\textbf{1}&4&7&.&0&1&3\end{matrix}}{\begin{matrix}\space\space&\textbf{9}&2&2&.&4&3&3\end{matrix}}[/tex]
The U.S.-based motorcycle manufacturer says that it expects to build 138000 motorcycles this year, up from 125000 last year. Find the percent of increase in production.
Answer:
10.4%
Step-by-step explanation:
138000-125000=13000
13000/125000 × 100 = 10.4
What are the solutions of this quadratic equation?
x2 + 10 = 0
Answer:
x=-5
Step-by-step explanation:
don't think thats a quadratic equation, in that case the answer is above, just subtract from both sides
The solution of given quadratic equation is ± √10
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Suppose that we have been given a function y = f(x) such that f(x) is quadratic. When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0
These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
Given the quadratic equation;
x² + 10 = 0
The solution of a quadratic equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
It is given that, x² +0x + 10 = 0.
Here a = 1, b= 0 and c = 10
x = [-b ± √(b² - 4ac)]/2a
= [-0 ± √(0² - 40)]/2(1)
= [ ± √(0- 40)]/2
= [± √(-40)]/2
= [ ± 2 √10]/2
= ± √10
Therefore the solution of given quadratic equation is ± √10
Learn more about quadratic equations;
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Find the equation of the line that passes through the point(2,-3)and is perpendicular to the line y=1/6x-2 . Write the equation using the slope-intercept form.
Answer:
Step-by-step explanation:
perp. -6
y + 3 = -6(x - 2)
y + 3 = -6x + 12
y = -6x + 9
Chalk is an ionic compound. Which is a property of all ionic compounds that makes chalk particularly useful for writing on a chalkboard? A a high melting point B hardness and brittleness C inability to dissolve in water D a multicolored appearance
The correct answer is B. Hardness and brittleness
Explanation:
The ions in materials such as chalk and other ionic compounds are bonded by electrostatic forces. These features give ionic compound unique characteristics. This includes the fact these materials are usually hard, which means they do not deform easily and the fact these are brittle, which means they break easily.
These properties can be observed in chalk because the chalk itself keeps its shape or does not deform (hardness) but it breaks easily under pressure (brittleness), indeed due to this last property it is possible to write using chalk and due to the first property it is possible the chalk is a durable material.
Answer:
B.
Step-by-step explanation:
The graph shows the relationship between the number of pounds of oranges purchased and the total oost of oranges what is the cost of one pound of oranges
Answer:
1
Step-by-step explanation:
1
Give an equation for a function whose domain is all non-negative values of x except x=3.
Answer:
[tex]f(x)= \dfrac{1}{\sqrt x - \sqrt 3}[/tex]
Step-by-step explanation:
The square root forces values for x to be positive.
The -√3 causes a divide by zero for x=3, which is not allowed.
Question
Find the cardinal number of the set
{1x∣∣∣x∈ℤ and 2≤x≤5}
Answer:
4Step-by-step explanation:
For the given set, {1x∣∣∣x∈ℤ and 2≤x≤5}, x∈ℤ means that the elements of the set are integers and 2≤x≤5 means the integers are values from 2 to 5.
Note that integers are whole numbers. The integers from 2 to 5 are 2, 3, 4 and. 2 and 5 are included to due the equality sign present in the inequality.
The elements of the set are {2, 3, 4, 5}.
Cardinal number of the set is similar to cardinality of the set. In set theory, cardinality of a set is the total number of element in the set. According to the set above, the total number of element in the set is 4.
Hence the cardinal number of the set is 4
5. Round to the nearest one: 9.5 (1 Point
Answer:
10
Step-by-step explanation:
Round up if this number is greater than or equal to
5 and round down if it is less than 5
what is the smallest number that rounds to 700 when rounding to the nearest hundred
Answer:
650
Step-by-step explanation:
650 will be the smallest number that rounds to 700 when rounding to the nearest 100th because any number less that 650 would not round too 700 and 650 will. hope this helps. i tried explaining the best i could. :)
Sep 09, 6:17:21 PM
What is an equation of the line that passes through the points (2, - 7) and (8, -4)?
Put your answer in fully reduced form.
Answer: y = 1/2x -8
Step-by-step explanation:
The equation will be in slope intercept form which uses the formula y= mx +b where m is the slope and b is the y-intercept and those are the only numbers need to write the equation.
The points are (2,-7) (8,-4) to find the slope using these points,find the change in their y values and divide it by the change in the x values.
-7- (-4) = -3
2 - 8 = - 6
-3/-6 = 1/2
So in this case the slope is 1/2, now input it into the equation and use one of the points coordinates to solve for b the y intercept.
-7 = 1/2(2) + b
-7 = 1 + b
-1 -1
b = -8
The y intercept is -8 so we will have the equation y = 1/2x -8
Buying a new backpack for which of these reasons is most likely a sound
financial decision?
A. You liked the ad for it online.
B. You were persuaded by a salesperson.
C. Your friend has one.
D. You need it to carry your books.
APEX
Answer:
D
Step-by-step explanation:
Buying the backpack to carry your books will help increase your efficiency.
What value of x will make the equation true? (√5) (√5)=x
Answer:
25
Step-by-step explanation:
