Answer:−
1
2
+
6
4
Step-by-step explanation:−
3
4
(
4
−
2
)
Simplify
1
Combine multiplied terms into a single fraction
−
3
4
(
4
−
2
)
−
3
(
4
−
2
)
4
2
Distribute
Solution
−
1
2
+
6
J.V. Lin is an Olympic athlete competing in the women's javelin throw. The distances of her successful throws (in meters) are normally distributed with mean distance 60 meters and standard deviation 4 meters. (Round to the nearest percent and enter each of your answers as a whole number between 0 and 100.) (a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance? 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? probability _______%
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.
PLEASE PLEASE PLEASE!
Answer:
70
Step-by-step explanation:
The area of one of the four triangles is [tex]\frac{1}{2}\times 5 \times 7 = 17.5[/tex]. So together the area of all the four traingles is [tex]4\times 17.5 = 70[/tex]
: What does the value of f(3) represent in the given context?
A.
After 4 bounces the height of the ball is 3 feet.
B.
After 4 bounces the height of the ball is 4 feet.
C.
After 3 bounces the height of the ball is 3 feet.
D.
After 3 bounces the height of the ball is 4 feet.
Answer: D
Step-by-step explanation: on The graph it shows the height of the ball after 3 bounces is 4 feet
I need help. correct answer gets brainliest
Answer:
can you zoom in on it
Step-by-step explanation:
Given that a = 1, b = 2, and C = -3, evaluate
ab²- ac²/ 2bc
Answer:
5/12
pls Mark as brainliest
The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant. In eight traffic fatalities, find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is
Answer:
[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]
In which x is the number of which we want to find the probability.
Step-by-step explanation:
For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.
This means that [tex]p = 0.4[/tex]
Eight traffic fatalities
This means that [tex]n = 8[/tex]
Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is
This is P(X = x), in which x is the number of which we want to find the probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]
Based on the binomial probability principle, the probability involving the number of non-occupant is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]
Let :
Number of alcohol - impaired or non-occupant = kNumber of trials, n = 8Probability of success, p = 0.40q = 1 - p = 1 - 0.40 = 0.60Using the binomial probability relation :
[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex] x = kSubstituting the values into the relation :
[tex] P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} [/tex]
Hence, the required probability expression is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]
Learn more :https://brainly.com/question/23287510
The quotient of 6 and a
number (n)
Answer:
n divided by 6 (n/6)
Step-by-step explanation:
The mathematical expression for 'the quotient of 6 and a number (n)' is, 6/n or (6 ÷ n).
Used the concept of mathematical expression which can be stated that,
A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
The algebraic expression is,
''The quotient of 6 and a number (n).''
Now, the mathematical expression for 'the quotient of 6 and a
number (n)' is,
6 ÷ n
= 6 / n
So, the mathmatical notation is 6/n.
To learn more about the divide visit:
https://brainly.com/question/28119824
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Only answer if you know!!! Which expression represents 5 less than y? (1 point)
Oy-5
O 5-y
Oy
5
O5y-1
Answer:
5 less than y isn’t up there but if you mean 5 minus y it’s the second one, and y minus 5 is the first
Step-by-step explanation:
The true answer is 3.75
Answer:
interesting
Step-by-step explanation:
very interesting
What is the correct answer I’m offering brainalist + 10 points don’t just say A please can you explain to me why you chose what you chose
Answer:
Answer is Complementary.
Step-by-step explanation:
This is because complementary angles add up to 90 degrees. In this example, the angles are exactly 45 degrees. Therefore, because there are two angles 45 * 2 is 90. Answer is B.
Answer:
D. vertical
Step-by-step explanation:
We can rule out A and B because they wont equal 180 or 90 they will be somewhere in between. We can rule out C because those are acute angles. So we are left with D. These angles are vertical because they are opposite angles made by two intersecting lines and they have equal values.
Which function has the greater maximum value, f(x) or g(x)?
Answer:
g(x) is correct because if you look at the top of each parabola graph, you'll see how the vertex (the point in the middle top of the parabola) is higher than the other vertex of the function f(x). The y-coordinate of the vertex is the max/mini value, the x- coordinate of the vertex is the line of symmetry.
I applied this to my own problem and got it correct! You can use d e s m o s to see how the graph looks, and compare them. Good Luck!
construct a triangle with is side ab 6.5 cm BC as 4cm and angle b as 120°
Answer
A triangle can be constructed if we are given 2 sides and an angle. For these ... AB=4 cm, Angle A =30˚, AC=5 cm. 2.) BC=3 cm, Angle B=80˚, BA=6 cm ... Angle A=20˚, AC=6.5 cm, Angle C=90˚ ... Angle A=25˚, Angle B=120˚, Angle C=35˚.
Step-by-step explanation:
What is the ratio as a fraction 9 and 6
Answer:
9/15 will become 3/5 and 6/15 will become 2/5.
Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
y = 12x - 16
y = 12x + 16
y = 16x - 12
y = 16x + 12
Answer:
the first one
Step-by-step explanation:
y-y1=m(x-x1)
y-20=12(x-3)
[tex]y-20+20=12\left(x-3\right)+20[/tex]
simplify:
[tex]y=12x-16[/tex]
PLEASE HELP mathematics
Answer:
21+10.5 which would equal 31.5
Step-by-step explanation:
Answer:
21+10.5 which would equal 31.5
Step-by-step explanation:
if you saw one of your best friends getting bullied what would you do would you A help him/she B Just walk away C ask someone else for help D laugh at him cause I would help
Answer:
A. help him/her
funny story, i once got into trouble for defending my friend from being bullied and the person doing the bullying didn't get punished smh
Answer:
a
Step-by-step explanation:
duhh
Which table or graph shows the value of y going down as the value of x goes
up?
Answer:
A
Step-by-step explanation:
That's your answer...
dang u fail gonna fail i feel baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad.......
just look at the one that has the letter x going up it is c or d
What is the area of this square?
HELP FAST!!!!!
Which of the following expressions is equivalent to 6^-7
A: 1/(-6)^-7
B: 1/6^7
C: (-6)^-7
D: 1/6^-7
Answer:
B. ) 6^-7 = 1/6^7
Step-by-step explanation:
B.) is the only correct one
HELP please :)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!asap
Answer:
B
Step-by-step explanation:
7100-3100
not sure though
write the ordered pair for each point. PLS! I will give 20 points did correct same goes with brainliest. DO NOT TYPE THAT YOU DON'T KNOW OR I WILL FLAG, REPORT AND GET MAD!
Answer:
M=(0.75,1.25)
H=(-1.5,-0.5)
D=(1,-1.75)
Step-by-step explanation:
Hope this helps.
Find the measure of 43.
92 88°
43
88
43 = [?]
please help I will give you brainlist just no links
Answer:
88°
Step-by-step explanation:
Because, vertically opposite angles are equal
how do you solve the inequality -8x is greater than 72
Answer:
8n < 72
Step-by-step explanation:
Eight times a number (n) is less than 72.
Solve the exponential equation.
2-x = 16
4
1/4
-4
Answer:
-4
Step-by-step explanation:
Does anyone have an answer or can help
Answer:
set them equal to each other and solve for x
Step-by-step explanation:
This is for my hw and I am so confused on how to do this. Please someone help me asap!!!!!!!!!
Answer:
I GOT IT WRONG SORRY IMMA TRY AGAIN, what's the directions?
is 32/24 equivalent to 12/9
Answer:
32/24 is equivalent to 12/19
yes
Please answer quick just super small explanation pls hurry quick for brainlessly
Answer:
A = 81
Step-by-step explanation:
When there is a number above the other. You will need to multiply it.
There is a 4 so its 4 times.
-3 x -3 = 9
9 x -3 = -27
-27 x -3 = 81
------
When you multiply a negative number by a negative number it will be a positive.
If you multiply a positive number by a negative it will be negative.
Umm I am sooooo confused what is the shape called pls pls pls help!!!!
Answer:
its a pentagon thoses have five sides
Step-by-step explanation:
Find the area of the polygon.
Answer:
Step-by-step explanation:
A = (7 + 4)(24) ÷ 2 = 132 units²