Answer:
a. 0.8837
b. 0.6914
c. 10 student
Step-by-step explanation:
a. using markov's inequality; P(u >= X)<= E(u) / X
mean u = 76
X, test score = 86
= 76 / 86 = 0.8837
b. variance v = 25
The test is between 65 and 85 P(65 <= X <= 85);
P(|65 - X|<= |X - u| <= |85 - X|) = P(65 - 76 <= |X - u| <= 85 -76)
= P(-11 <= |X - u| <= 9)
= P(|X - u| <= 9)
using the chebyshev's inequality;
P(|X - u| <= 9) = 1 - variance / (standard deviation of individual test score)^2
= 1 - 25/ 9^2
= 1 - 25/81 = 1 - 0.3086 = 0.6914
c. P(|X - 76| <= 5) = 0.9
still using chebyshev's inequality;
= 1 - variance / lower limit^2 (E)
where E = 1 - 0.9 = 0.1
lower limit = 5
= 1 - 25/ 5^2 (0.1) = 10
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9.
Answer:
y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]
Step-by-step explanation:
y = 12x - 9
Slope of line perpendicular to given is m = - [tex]\frac{1}{12}[/tex]
P(7, 10)
y - 10 = - [tex]\frac{1}{12}[/tex] (x - 7)
y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]
An equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)
The equation of a line in point-slope form is expressed as;
y - y0 = m(x-x0)
m is the slope of the line(x0, y0) is any point on the lineGiven the equation of a line y = 12x - 9
Slope = 12Slope of the line perpendicular is -1/12Substitute m = -1/12 and ()7, 10) into the equation above to have;
y - 10 = -1/12(x-7)
Hence an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)
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A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. adults S and ask them how they feel about raising the Medicare eligibility age from 65 to 67. Find the probability that the number who oppose raising the age is (a) at least 65, (b) exactly 50, and (c) more than 60, and (d) identify any unusual events. Explain.
Answer:
0.477%
6.55%
5.05%
Event in question (a)
Step-by-step explanation:
Given that:
p = 0.67 ; n = 80
Using Normal approximation :
Mean (m) = np = 80 * 0.67 = 53.6
Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057
probability that the number who oppose raising the age is
(a) at least 65
65 - 0.5 = 64.5 = x
Z = (x - m) / s
Z = (64.5 - 53.6) / 4.2057 = 2.592
P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)
(b) exactly 50
x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5
Z = (50.5 - 53.6) / 4.2057 = - 0.737
Z = (49.5 - 53.6) / 4.2057 = - 0.974
P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)
0.23056 - 0.16503 = 0.06553
(c) more than 60, and (d) identify any unusual events
x = 60 + 0.5 = 60.5
Z = (60.5 - 53.6) / 4.2057 = 1.64
P(Z > 1.64) = 0.0505
D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%
At Barlow school, 4/9 of the 873 students are boys. At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?
Answer:
I have attached the answer
Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it
Answer: This is a tough question
Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D
Step-by-step explanation:
a farmer grows 128 red tomato plants and 102 yellow tomato plants each plant produces about 32 tomatoes the farmer plans to sell each tomato for$2
Answer:
14720$ he will make and there are 7360 tomatoes
Step-by-step explanation:
How to solve
3sin^2x-5sinx-2
Is this a function?
Answer:
It isn't a function.
Step-by-step explanation:
Since there are two points on the same x value, in this case x=3, this means that these points can not be a function.
Find the angle θ between vectors r and s, where |r| = 16, |s| = 9, and r · s = 125. θ = 85.87° θ = 82.65° θ = 29.77° θ = 16.26°
Answer:
C - 29.77
Step-by-step explanation:
Edge 2020
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The angle θ between vectors r and s is 29.766°.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of two vectors is written as,
[tex]r \cdot s = |r|\cdot |s| \times \cos(\hat I)[/tex]
Substituting the values,
125 = 16 · 9 × Cos(θ)
0.868 = Cos(θ)
θ = 29.766°
Hence, the angle θ between vectors r and s is 29.766°.
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If p varies jointly as q and the cube of r, when
p=270 when q=6 and r=3, find the constant of
variation. Write your answer as a fraction.
y=kxz
The value of constant of variation is, 5.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
⇒ p varies jointly as q and the cube of r.
Since, p varies jointly as q and the cube of r.
Hence, We can formulate;
⇒ p = k × q × r²
Where, k is constant of variation.
Here, p = 270 when q = 6 and r = 3.
Substitute all the values, we get;
⇒ p = k × q × r²
⇒ 270 = k × 6 × 3²
⇒ 270 = 54k
⇒ k = 270 / 54
⇒ k = 5
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What is this? Please answer with an explanation
Answer:
x=9,30............etc
Step-by-step explanation:
if value of x=9 then
the function
value of f(x)=4
if x=30 then value of function f(x)=27
What is the distance between -23 and 6
Answer:
29
Step-by-step explanation:
add 23 to cancel the negative then add 6 to get the final answer
Answer:
29 units.
Step-by-step explanation:
The distance is 6 - (-23)
= 6 + 23
= 29 units.
Please can someone help me please
It is attached
How many points will I get if I get 60 points every 5 mins and it goes on for 4 hours?
Answer:
well u multiply 60 and 12 which is 720 then multiply that by 4 that equals 2,880 more points
A circular tablecloth has a diameter of 6 feet,as show on the picture.
What is the area,in square feet,of the tablecloth.
What is the equation of the line that passes through the point -4 and four and has a slope of -3
Answer:
y = -3x-8
Step-by-step explanation:
(-4 ,4)
4 = -3(-4) + b
4 = 12 + b
b = -8
y = -3x-8
Help Please, im stuck on this question.
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational
I need help on this onee pleasee
Answer:
1. 2nd row multiplied by the 3 columns : 7x³ , -35 x²,42
2. 3rd row multiplied by the 3 columns : -4x² , 20x ,-24
Step-by-step explanation:
The table requires you to perform multiplication of the terms
The product is as follows;
1. 2nd row multiplied by the 3 columns
7x * x² = 7x³
7x * -5x = -35 x²
7x * 6 = 42
2. 3rd row multiplied by the 3 columns
-4 * x² = -4x²
-4 * -5x = 20x
-4*6 = -24
The explains why a x b = b x a and a + b = b + a.
Determined to find the slope
(1 7K), and (-3,5K)
Answer: [tex]\dfrac{K}{2}[/tex] .
Step-by-step explanation:
As we know ,
The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of a line that passes through (1 , 7K), and (-3,5K) =
[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]
Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .
Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?
Answer:
95%is the answer
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
We can use the balancing method to do this.. first what is the total below 90?
The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?
The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%
Now we use the balancing method to get from 5-10.
Using the balancing method we get 95%
please answer these questions
Step-by-step explanation:
you need to multiple first by second
2 L = _____ ml can someone help? :((
Answer:
2000
Step-by-step explanation:
Answer:
2000 ml
Step-by-step explanation:
Lee is making scarfs for a shelter. He purchased 11 skeins of yarns. Each skein has 660 feet of yarn. He needs 200 yards of yarn to make one scarf.
Answer:
Give me sum
Step-by-step explanation:
Answer:
Most scarves will use one to two skeins of yarn. According to the chart above, you will probably need about 300–650 yards, depending on the weight of yarn, the colors, the stitches, style, and length amongst other factors.
Step-by-step explanation:
Julie Myrick has a credit card that has an APR of 15%, applied at a daily
periodic rate to the previous balance. Her previous balance is $567,31. She made
new purchases totaling S128.92, and a payment-of $125 in the month of June.
What is her new balance?
Answer. 332.78
Step-by-step explanation:
I subtracted and as awesome its right trust me.
ASE
BCDE is a trapezium with angle CDE = 90°. ABEF is a straight line.
Q2)
D
Diagram
accurately
1159
А
11030
E
F
B
Work out the size of the angle marked x.
Answer:
128 deg
Step-by-step explanation:
The sum of the measures of the angles of a polygon of n sides is
(n - 2)180
A trapezium has 4 sides, so the sum of the measures of the angles is
(4 - 2)180 = 2(180) = 360
m<CBE + m<C + m<D + m<DEB = 360
Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.
m<ABC + m<CBE = 180
115 + m<CBE = 180
m<CBE = 65
m<C = x
m<D = 90
Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.
m<DEB + m<DEF = 180
m<DEB + m<103 = 180
m<DEB = 77
m<CBE + m<C + m<D + m<DEB = 360
65 + x + 90 + 77 = 360
x + 232 = 360
x = 128
Answer: 128 deg
so we will get a lot of teiangles here.
90°+x+CED=180°
also CED+DEF=180°(half circle, 360/2)
CED+103°=180°
CED=180-103=77°
77°+90°+X/2=180°
x/2=180-167=13°
of the following pair of variables indicate whether you would expect a positive, negative, or no correlation to exist.
Maximum daily temperature and cost to coolant house
Answer:
B
Step-by-step explanation:
Bbbbb bbbbbbbbbbb
The graph represents function 1, and the equation represents function 2:
6
3
2
1
0
0 1
2
3
4
5 6 7 8 9
Function 2
y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? (4 points)
O 3
O4
O 5
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope or rate of change of the function can be:
positivenegativezero, orundefinedFunction 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
[tex]y = 8x+12[/tex]
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
The following are the last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 29 runs. What is his new mean score? Give your answers as decimals.
Answer:
a. 12.5 b. 14
Step-by-step explanation:
If you add all of the scores together (125) and then divide by the the number of scores in the sequence (10), you get 12.5, and then you need to add the 29 on to 125 and divide that by 11, because thats the new amount of numbers in the sequence, to get 14.
Help me please and thank you
Answer:
ΔMXP, ΔXMP, ΔPMX
Step-by-step explanation:
A triangle has three sides and three points, so it can only be named using the three points, X, P and M.
Find the length of AB PLEASE HELP
Answer: D) 53.74
This value is approximate.
===========================================
Work Shown:
x = length of AB
Use the sine rule to say
sin(angle) = opposite/hypotenuse
sin(B) = AC/AB
sin(61) = 47/x
x*sin(61) = 47
x = 47/sin(61)
x = 53.7376 ..... make sure your calculator is in degree mode
x = 53.74
So AB = 53.74 approximately