Answer:
All of the statements are true
Step-by-step explanation:
Given that :
Number of trials (n) = 100
Expected number of successes = 55
The number of successes of the 100 trials :
Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55
Using Normal approximation :
Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45
σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975
The probability distribution of x = B(n, p) = x = B(100, 0.55)
Using approximation ; N(p, σ) = N(55, 4.97)
Hence, All of the statements are true
Need the answer to this thank you!
Answer:
n = 4
Step-by-step explanation:
Use the explicit formula of a arthmetic sequence: an = a1 + d(n - 1)
a1 = -70
d = -10
an = -100
Do all of the steps and plug all the numbers with the formula.
So -100 = -70 - 10(n - 1)
-100 = -70 - 10n + 10
-100 = -60 - 10n
-100 + 60 = -40
-40 = -10n
-40/-10n = -10n/10
n = 4
So the final answer is n = 4. Just follow all of the steps and you will understand how I got my answer. Hope it helped!
Solve for v. Show your work
10 - (3v - 1) = 5(9 - v)
Answer:
The value of v is -17.
Step-by-step explanation:
10-(3v-1)=5(9-v)
10-3v+1=45-v
11-3v=45-v
11-45=3v-v
-34=2v
-34÷2=v
-17=v
Find the orthocenter for the triangle described by each set of vertices.
K (3.-3), L (2,1), M (4,-3)
Plzz help ASAP!!!
I'll give brainliest if ur correct
Answer:
The orthocentre of the given vertices ( 2 , -3.5)
Step-by-step explanation:
Step(i):-
The orthocentre is the intersecting point for all the altitudes of the triangle.
The point where the altitudes of a triangle meet is known as the orthocentre.
Given Points are K (3.-3), L (2,1), M (4,-3)
The Altitudes are perpendicular line from one side of the triangle to the opposite vertex
The altitudes are MN , KO , LP
step(ii):-
Slope of the line
[tex]KL = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{1-(-3)}{2-3} = -4[/tex]
The slope of MN =
The perpendicular slope of KL
= [tex]\frac{-1}{m} = \frac{-1}{-4} = \frac{1}{4}[/tex]
The equation of the altitude
[tex]y - y_{1} = m( x-x_{1} )[/tex]
[tex]y - (-3) = \frac{1}{4} ( x-4 )[/tex]
4y +12 = x -4
x - 4 y -16 = 0 ...(i)
Step(iii):-
Slope of the line
[tex]LM = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-3-1}{4-2} = -2[/tex]
The slope of KO =
The perpendicular slope of LM
= [tex]\frac{-1}{m} = \frac{-1}{-2} = \frac{1}{2}[/tex]
The equation of the altitude
[tex]y - y_{1} = m( x-x_{1} )[/tex]
The equation of the line passing through the point K ( 3,-3) and slope
m = 1/2
[tex]y - (-3) = \frac{1}{2} ( x-3 )[/tex]
2y +6 = x -3
x - 2y -9 =0 ....(ii)
Solving equation (i) and (ii) , we get
subtracting equation (i) and (ii) , we get
x - 4y -16 -( x-2y-9) =0
- 2y -7 =0
-2y = 7
y = - 3.5
Substitute y = -3.5 in equation x -4y-16=0
x - 4( -3.5) - 16 =0
x +14-16 =0
x -2 =0
x = 2
The orthocentre of the given vertices ( 2 , -3.5)
Dilacey takes out a loan from the bank that charges a 10% interest rate. After 18 months,
she accrues $420 in simple interest. How much was the loan that Dilacey took out?
Answer:
Dilacey took a loan of $2800
Step-by-step explanation:
P=(Simple Interest×100)/R×T
P=$420×100/10×1½
P=$42000/15
P=$2800
Find the volume of a sphere whose r is 20 inches?
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ Volume \ of \ the\ sphere\ is\ 33493.33 \ in.^3 }}}[/tex]
Step-by-step explanation:According to the Question the radius of the sphere is 20 inches. And we know that the Volume of sphere is given by :-
[tex]\boxed{\orange{\sf Volume_{sphere}=\dfrac{4}{3}\pi r^3 }}[/tex]
And here radius is 20 in.
[tex]\implies Volume = \dfrac{4}{3}\pi r^3 \\\\\implies Volume =\dfrac{4}{3}\times\dfrac{22}{7}\times (20 in.)^3\\\\\implies \boxed{\bf Volume = 33493.33 in^3 }[/tex]
Hence the Volume of the sphere is 33493.33 inch³.Answer:
33493.34
Step-by-step explanation:
r=20
volume of sphere= 4/3×πr^3
= 4/3×3.14×20^3
= 33493.34
or
r=20
volume of sphere= 4/3×πr^3
= 4/3×22/7×20^3
= 33523.80952
Convert:
5 m = ________mm
Answer:
5m = 5000 mm
Step-by-step explanation:
Find the coordinates of the point. The point is located eight units in front of the yz-plane, five units to the left of the xz-plane, and one unit below the xy-plan
Answer:
The coordinate of the point is (8,-5,-1).
Step-by-step explanation:
Given that the point is located 8 units in front of the yz-plane, 5 units to the left of the xz-plane, and 1 unit below the xy-plane.
According to the convention to the coordinate axis, the front of the yz-plane is the positive x-axis, right of xz-plane is the positive y-axis, and above of xy-plane is the positive z-axis.
As the point is located 8 units in front of the yz-plane, so x=8.
As the point is located 5 units to the left of the xz-plane, so y= -5.
As the point is located 1 unit below the xy-plane, so z= -1.
Hence, the coordinate of the point, (x,y,z)=(8,-5,-1).
Help Me Plz!!!!!!!!!!!!!
Answer:
[tex] a = 6\sqrt 3,\:\:b =12,\:\:c=6\sqrt 2[/tex]
Step-by-step explanation:
[tex]by \: 30 \degree - 60 \degree - 90 \degree \: theorem \\ \\ 6 = \frac{1}{2} b\\ \\ 6 \times 2 = b \\ \\ 12 = b \\ \\ \huge\red {\boxed {b= 12}} \\ \\ a = \frac{ \sqrt{3} }{2} b \\ \\ a = \frac{ \sqrt{3} }{2} \times 12 \\ \\ \huge\purple {\boxed {a = 6 \sqrt{3}}} \\ \\ c = \frac{1}{ \sqrt{2} } b \\ \\ c = \frac{1}{ \sqrt{2} } \times 12 \\ \\ c = \frac{ \sqrt{2} }{2} \times 12 \\ \\ \huge\orange {\boxed {c = 6 \sqrt{2}}} \\ \\ [/tex]
Tyson's math class has 12 boys and 8 girls. What is the ratio of boys to girls
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
The ceiling is lower than 3 meters.
Step-by-step explanation:
In the above, the product is less than 3. In this case, it will not include 3 as a choice, as if it would, the [tex]\leq[/tex] would be used.
This means that x would be any number that is less than 3. The only choice that gives a choice that means less than by the terms definition is A) The ceiling is lower than 3 meters.
~
217.09 in expanded form
200 + 10 + 7 + .09
This is because the expanded form is the number seperated.
In a game of chance there is a box filled with 20 black balls, 13 red balls, and 7 green
balls. If a single ball is drawn from the box, then what is the probability that the ball
is green?
Answer:
what are you even doing with all them balls
Step-by-step explanation:
The slope of the line below is -5. Which of the following is the point-slope
form of the line?
A. y-8=-5(x+2)
B. y+8=-5(x-2)
C.y+8=5(x-2)
D.y-8=5(x+2)
Answer:
It Is A.y-8=-5(x+2)
Step-by-step explanation:
Write 56/90 as a fraction?
Answer:
By writing as a fraction, I am taking you mean to SIMPLIFY IT.
Step-by-step explanation:
As a fraction, 56/90 is 28/45
The number that divides 56 and 90 exactly is 2
56/2=28
90/2=45
So therefore, the answer is 28/45
At a particular restaurant, each chicken wing has 80 calories and each slider has 300 calories. A combination meal with sliders and chicken wings is shown to have 1360 total calories and twice as many sliders as there are chicken wings. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system
is this correct pls help!
Answer:yes
Step-by-step explanation:
i need to put equations into slope intercept and i need big help its a test grade
Answer:
4.
y= 2/3x + 3
Step-by-step explanation:
By using the distributive property on the right side of the equation you get 2/3x + 2. Then you add 1 to the right side to cancel out the (-1) on the left.
Please help me solve this...
Use the given information about a polynomial function to write the equation.
Degree 4. Root of multiplicity 2 at x=-2, and roots with multiplicity of 1 at x=6
and x=2. y-intercept at (0,10)
Answer:
[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]
Step-by-step explanation:
The standard, factored polynomial function is given by:
[tex]f(x)=a(x-p)^n(x-q)^m...[/tex]
Where a is the leading coefficient,
p and q are factors,
And n and m are the powers or multiplicity they are being raised to.
We know that our polynomial function is of degree 4.
We have a root of multiplicity of 2 at x=-2.
So, our factor is:
[tex](x-(-2))=(x+2)\\[/tex]
It is has a multiplicity of 2, it is squared. So:
[tex](x+2)^2[/tex]
We have another root with multiplicity of 1 at x=6.
So, our factor is:
[tex](x-6)[/tex]
And since it is to the first power, we can write it as is.
Finally, we have another root of multiplicity of 1 at x=2.
So, our factor is:
[tex](x-2)[/tex]
Therefore, our entire function is:
[tex]f(x)=a(x+2)^2(x-6)(x-2)[/tex]
We still have to determine our leading coefficient, a.
We can use that y-intercept. The y-intercept is at (0, 10). So, when x=0, y=10. By substitution:
[tex]10=a(0+2)^2(0-6)(0-2)[/tex]
Evaluate:
[tex]10=a(4)(-6)(-2)[/tex]
Multiply:
[tex]10=48a[/tex]
Therefore:
[tex]\displaystyle a=\frac{10}{48}=\frac{5}{24}[/tex]
Therefore, our final function is:
[tex]\displaystyle f(x)=\frac{5}{24}(x+2)^2(x-6)(x-2)[/tex]
Ellie's mom has $75 and shares it equally between her 5 children. How much money does each child get?
Answer: 15
Step-by-step explanation: 75 divided by 5 = 15
Hope this helps!
If three coins are tossed, the probability of getting exactly one head is:
Answer:
3/ 8
Step-by-step explanation:
All possible outcomes are:
HHH TTT HTT THT TTH HHT HTH THH
PROBABLITY of getting exactly one head = 3/ 8
hope it helps!
hellllppp!! :(
write an equation of the line in slope-intercept form.
Answer:
y=2/5x+3
Step-by-step explanation:
brainliest pls
For f(x) = 2 – 3x2, evaluate f(0.6).
Answer:
f(0.6) = 0.92
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 2 - 3x²
f(0.6) is x = 0.6
Step 2: Evaluate
Substitute in x: f(0.6) = 2 - 3(0.6)²Exponents: f(0.6) = 2 - 3(0.36)Multiply: f(0.6) = 2 - 1.08Subtract: f(0.6) = 0.92How many significant digits are in: 0.07008?
James Works in a flower shop. He will put 36 tulips in vases for a wedding. He must use the same number of tulips in each vase.How many tulips could be in each vase ?
Answer:
1,2,3,4,6,9,12,18,36
Step-by-step explanation:
The following are questions from a self-quiz.
According to some study, the height for Northern European adult males is normally distributed with an average of 181 centimeter and a standard deviation of 7.3 centimeter. Suppose such an adult male is randomly chosen. Let X be height of that person. The next 2 questions correspond to this information. The answer may be rounded up to 3 decimal places of the actual value.
a) The probability that the person is between 160 and 170 centimeters is
b) The probability that the person is higher than 190 centimeter is
Please state how you determined the probability from the standard normal table.
Answer:
0.0635 ; 0.1093
Step-by-step explanation:
Given that :
Mean (m) = 181
Standard deviation (s) = 7.3
Height = x
a) The probability that the person is between 160 and 170 centimeters
160 < x < 170
P(x < 160) - P(x< 170)
Z = (170 - 181) / 7.3) ; (160 - 181) / 7.3
Z = - 1.51 ; Z = - 2.88
P(Z < - 1.51) - P(Z < - 2.88)
0.0655 - 0.0020 (from Z table ; first integer of the y axis, decimal point value on the horizontal x axis ; the value at the intersection is the z probability value).
0.0655 - 0.0020 = 0.0635
b) The probability that the person is higher than 190 centimeter
P(x > 190)
Zscore = (x - m) / s
Zscore = (190 - 181) / 7.3
Zscore = 1.23
P(Z > 1.23) = 1 - P(Z < 1.23)
P(Z > 1.23) = 1 - 0.8907
P(Z > 1.23) = 0.1093
HELP ME A cheetah ran 75 meters at a speed of 25 meters per second. How long was the cheetah running?
3 seconds
5 seconds
30 seconds
50 seconds
Answer:
3 seconds
Step-by-step explanation:
75 divide 25 is equal 3
So Cheetah ran 3 second by running.
GUYS PLEASE HELP! AND SOLVE THIS WITH ME!
Answer:
Step-by-step explanation:
* 33/100 = .3(bar)
* 23/50 =.46
* 6/8 = .75
* 1/3 = .3(bar)
* 7/10 =.7
* 21/81 = .26
* 3/16 = .1875
* 7/20 =.35
Evaluate.
23+4⋅2−7
1
5
9
36
Khan Acad
Mean, median, a
What is the arithmetic mean of the following numbers?
8,10,8, 5,4,7,5,10,8
Answer:
7.222 (repeating)
Step-by-step explanation:
8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65
1 2 3 4 5 6 7 8 9
65 / 9 = 7.222 (repeating)
Write 9.5 as a mixed number HELPPP
Answer:
1 4/5
Step-by-step explanation: