Answer:
a) 50%
b) 5%
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with mean distance 60 meters and standard deviation 4 meters.
This means that [tex]\mu = 60, \sigma = 4[/tex]
(a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance?
This is, as a proportion, 1 subtracted by the pvalue of Z when X = 60. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60 - 60}{4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
1 - 0.5 = 0.5
0.5*100% = 50%
50% probability.
(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw?
This is 1 subtracted by the pvalue of Z when X = 66.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66.5 - 60}{4}[/tex]
[tex]Z = 1.63[/tex]
[tex]Z = 1.63[/tex] has a pvalue of 0.95
1 - 0.95 = 0.05
0.05*100% = 5%
5% probability.
A program to restore an endangered frog species began 8 months
ago. The table shows the population of the species at various
times since the program began.
Month
Number of Frogs
0
11
2
69
4
195
6
547
8
1,231
On average, what has been the monthly change in the frog
population over the last 4 months?
Answer:
195
Step-by-step explanation:
Therefore, the monthly change in the frog population over the last four months is [tex]195[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
As per the given information,
The monthly change in the frog population over the last four months is [tex]195[/tex].
Hence, the monthly change in the frog population over the last four months is [tex]195[/tex].
To know more about the simplification
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i can’t figure this one out.
Answer:
5
Step-by-step explanation:
3/12=x/20
cross multiply
12x=3(20)
12x=60
x=60/12
x=5
sin430° x sin490° x sin530° = 1/8
Answer: 1/8
Step-by-step explanation:
https://math.stackexchange.com/a/1788346
What is the equation of the line that is perpendicular to y=-3x+1 that passes through the point (9,0)?
y=1/3x-3
y=-1/3x+3
y=3x+9
y=-3x+3
Answer:
Step-by-step explanation:
the correct answer of the question is y=x/3-3 b.c
m1.m2 = -1 But m1=-3
so -3.m2=-1
-3.m2/-3=-1/-3
m2=1/3 therefore
Y=1/3x-3
50 POINTS BRAINLIEST
Answer:
31 degrees
Step-by-step explanation:
Measure angles 1 and 3 are vertical angles, meaning they are equal which means 3 = 149 degrees
Angles 2 and 3 are adjacent and supplementary, meaning that their angles add up to 180.
180 - 149 = 31 degrees
Answer:B would be right so you are right!(give other user brainliest)
Step-by-step explanation:
The system shown is
O
inconsistent
•
equivalent
consistent
Answer:
This is pogers
Step-by-step explanation:
What is ur minecraft usernaem
Answer:
consistent
A consistent and independent solution to a system of linear equations is one point
A consistent and dependent solution to a system of linear equations is where they are the same line ( they could also be called equivalent)
An inconsistent solution is where there is no solution, the lines do not cross
Since the lines cross at exactly one point, this is a consistent and dependent solution
The solution is at x = 3 ( 3 units to the right of the origin)
and y = 2 ( 2 units up from the origin)
Step-by-step explanation:
I need help on this asap
Answer: 13.7ft (1 decimal place)
Step-by-step explanation:
For this question you will have to use Pythagoras theorem.
The formula for the short side is x²=c²-b² and when you put the numbers from this question into it you get x²=15²-6²
15²=225
6²=36
x²=225-36
x²=189
Then, as you want to find x on its own, you would have to square root 189 which is 13.7 (1 decimal place).
Hope this helps :)
Pls help. Sorry if its blurry
Answer:
5 divided by some number.
Step-by-step explanation:
Hope this helps!
Answer:
third option
Step-by-step explanation:
a researcher read a 12 page article in 30 mintues. on average, how much time did the researcher spend reading each page of the article? (1 minute = 60 seconds)
Write 40673 to the nearest thousand.
Answer:
50000
Step-by-step explanation:
Answer:
41000
thank me later have a great day
Aaron currently earns $1,400 per month working. Each year he will get a $150 per month raise. How much money will Aaron earn per month in 7 years?
the correct answer is 10290000
Answer:
130,200
Step-by-step explanation:
Earnings for 7yrs= $1,400 × 12 months × 7yrs
= $117,600
Raise for 7 yrs= $150 × 12 months × 7yrs
=$ 12,600
Earnings in 7yrs= $117,600 + $12,600
= 130,200
You have 26 songs in your MP3 player. After you add some more, you have 39 songs. How many songs did you add?
A. -13
B. 13
C. 65
D. 23
Answer:
b
Step-by-step explanation:
39-26 = ?
39
-26
____
13
you added 13 songs.
The average number of televisions per family is numbered in the tens.
A. True
B. False
Answer:
False!
~The Average number of TVs in a house is 2 - 3
Hope this helps!
Answer:
False.
The average number of televisions per family would have to be more than ten for it to be true, and I find this very hard to believe.
Hope I helped!
PLEASE HELP ME ANYONE ???????????!!!
Answer:
A x>9
Step-by-step explanation:
add 4 to both sides and ta da
Answer:
x>9
Step-by-step explanation:
you move the negative 4 to the other side to get it away from x so then you can find the answer.
Hope this helps:)
8 The length of Adriana's chicken coop is 3x + 12 feet. The length of her garden is
6x – 16 feet. The garden is the length of the chicken coop.
What is the length of the chicken coop? Enter the number of feet only.
What is the length of the garden? Enter the number of feet only.
Answer:
Rounded down to the nearest foot, the length of the garden is nine feet.
Step-by-step explanation:
We're told that the length of the chicken coop, 3x + 12 feet, is equal to the length of the garden, 6x - 16 feet. Let's put them together then and solve for x:
3x + 12 = 6x - 16
First, we'll subtract 6x from both sides
3x - 6x + 12 = 6x - 6x - 16
-3x + 12 = -16
Now we subtract 12 from both sides:
-3x + 12 - 12 = -16 - 12
-3x = -28
Finally divide both sides by -3
-3x / -3 = -28 / -3
x = 28/3
x = 9 and 1/3
As the question asks for the number of feet only (not inches), the answer is nine feet.
A third of a foot though is four inches, so the more exact answer is nine feet and four inches, or 9'4"
A candy bag contains 12
green candies and 1
blue candy. Preston will choose 2
candies from the bag without looking.
Which answer describes a possible event?
choosing 2
2
blue candies
choosing 2 blue candies
choosing 1
1
blue and 1
1
red candy
choosing 1 blue and 1 red candy
choosing 2
2
red candies
choosing 2 red candies
choosing 1
1
blue and 1
1
green candy
Answer:
choosing 1 blue and 1 green candy or choosing 2 green candies
Which graph shows a proportional relationship between X and y
Help please?? Thank you
Answer:
Isosceles right
Step-by-step explanation:
And isosceles triangle has 2 congruent sides, and since 90° is a right angles, it is a right triangle.
Answer:
isosceles acute I believe, since the two even sides are acute angles, however it could also be right since the top angle is a right angle and therefore the other two equal a right angle sorry if this didn't come in very useful
What is the value of f(x) when x=3?
0 -3
0-2
0 1
04
The value of the function when x=3 is approximately 18.83.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
The function
Now,
we need to substitute x=3 into the function and simplify it. We get:
3(3)−1+(1+3)2
=8+16
≈2.83+16
=4
Therefore, by the given function answer will be 4.
Learn more about function here:
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What is the common denominator for 4/10 and 1/5
Answer:
10
Step-by-step explanation:
1/5 = 2/10
SOLVE FOR X!!
(will mark brainliest)
Answer:
19
Step-by-step explanation:
Since it is a 90° angle we can say that 3x-15+2x+10 = 90.
3x-15+2x+10 = 90
5x-5=90
5x=95
x=19
By solving this we find that x is equal to 19.
Answer:
19
Step-by-step explanation:
3*19 = 57
57 - 15 = 42
2*19 = 38
38 + 10 = 48
48 + 42 = 90
(As this is a 90 degree angle)
Please I’m dying to know the answer can anyone help me?
Answer:
-1/3x+2y=4
Step-by-step explanation:
Substitute the negative reciprocal.
-1/3x+2y=4
Branliest to correct answer no guessing explain how you got your answer
Answer:
the answer is 1771! good luck!
Step-by-step explanation:
i attached an image with the steps!
Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane is measured in meters. A particle is moving clockwise around the circle of radius 1 m centered at the origin at the constant rate of 2 m/sec.How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point?
Missing information:
How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
Answer:
[tex]Rate = 0.935042^\circ /cm[/tex]
Step-by-step explanation:
Given
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
[tex]T(x,y) =x\sin2y[/tex]
[tex]r = 1m[/tex]
[tex]v = 2m/s[/tex]
Express the given point P as a unit tangent vector:
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
[tex]u = \frac{\sqrt 3}{2}i - \frac{1}{2}j[/tex]
Next, find the gradient of P and T using: [tex]\triangle T = \nabla T * u[/tex]
Where
[tex]\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j[/tex]
So: the gradient becomes:
[tex]\triangle T = \nabla T * u[/tex]
[tex]\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j][/tex]
By vector multiplication, we have:
[tex]\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}[/tex]
[tex]\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)[/tex]
[tex]\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5[/tex]
[tex]\triangle T = 0.935042[/tex]
Hence, the rate is:
[tex]Rate = \triangle T = 0.935042^\circ /cm[/tex]
Is this a complementary, supplementary, vertical, or adjacent
ill give brainly
Answer:
its complemtary
Step-by-step explanation:
check this photo
can 8 go into 3? plz answer
Answer:no
Step-by-step explanation:it would not be possible as 8 is a larger number then 3 unless u would be multiplying by decimals which in which case might be possible
Mariel says that a jewelry box that is 3 inches high, 4 1/2 inches wide, and 5 inches long has a volume of 67 1/2 inches. Katie says that answer is not quite correct. What is the error in Mariel's answer?
Answer: inside width, length and heights may be smaller
Step-by-step explanation. Walls of box have certain thickness, assume 0.1 inches. Then inner measures would be 2.8 in, 4.3 in and 4.8 in. You need to reduce thickness of wall from both sides.
Find the slope of the line that passes through (10, 2) and (1, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag
complete one column of the table with prices where popcorn is priced..... and to be continue
Answer:
The price for a 60-ounce bag of popcorn would be $16
Step-by-step explanation:
Answer:
The price for a 60-ounce bag of popcorn would be $16
Step-by-step explanation:
Function Modeling
The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.
The selection of the model is often a complex decision that involves statistics and data analysis.
The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.
The equation of a line of the volume V and the price p can be found with the expression
We'll use the first two values (6,10) (8,20)
Simplifying and rearranging, we get the model
To test the accuracy of the model, we compute the values of p for V=35 and for V=48
Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60
The price for a 60-ounce bag of popcorn would be $16
If you are asked to complete 5 sit-ups for every 9 push-ups you complete, answer each of the following questions:
Write the ratio of push-up’s to sit-ups three different ways.
_____________ ____________ ____________
If you complete 36 push-ups, how many sit-ups did you complete?
____________
If you complete 95 sit-ups, how many push-ups did you complete?
_____________
Answer:
1)5:9 ,5 of 9 5/9 2) 36x5 3) 95x5