The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and standard deviation Sigma = 1. 2 sec. What percentage of the runners have times less than 14. 4 sec? 0. 15% 0. 30% 0. 60% 2. 50%.
The percentage of runners having times less than 14.4 sec is 0.15%. Then the correct option is A.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The times of all 15-year-olds who run a certain race are approximately normally distributed with a given mean (μ) = 18 sec and standard deviation (σ) = 1.2 sec.
The runners have times less than 14.4 sec.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
[tex]\rm z-score = \dfrac{X - \mu}{\sigma }\\\\z-score = \dfrac{14.4- 18}{1.2}\\\\z-score = -3[/tex]
Then the Percentage will be
[tex]\rm P(X < 14.4) = P(z < -3) = 0.0013499 = 0.13499\ \% \approx 0.15\ \%[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
What is this? I’m struggling a little with this
Express cos F as a fraction in simplest terms.
F
15
E
28
D
Answer:
cos F is 15/28
Step-by-step explanation:
Use SOH CAH TOA
CAH is for cosine and it's Adjacent over Hypotenuse
the adjacent side of F is 15 and the hypotenuse is 28
So 15/28 which does not simplify
Hope this helped! :)
Given the following information find the radius
solve please !!!!!!!!
Assuming that this is a parallelogram, that means the angle opposite each other like Angle L to Angle J and Angle K to Angle M are equal in angle measure.
Thus Angle L is 98 degrees like Angle J
Hope that helps!
Which of the following scatterplots would have a trend line with a positive slope?
Answer:
I think it will be the first one because as we can see the points are going up which tells us the line would be positive.
A small sewing case is shaped like a rectangular prism. The base of the case is 23 inches wide and 23 Inches long.
The height of the case is 32 inches.
What is the volume of the case in cubic inches?
Answer:
I think its 78 because you might have to add 23+23+32. I might be wrong but I think thats the answer
Step-by-step explanation:
solve by elimination:
y=-9x+2
y=-3x-4
Answer:
x=1, y=-7
Step-by-step explanation:
y=-9x+2 -->y+9x=2
y=-3x-4 -->y+3x=-4
subtract the equations
6x=6
x=1
substitute
y=-9+2
y=-7
Answer:
1st question 2nd question
Step-by-step explanation:
can someone help me with this question please.
Answer:
b
Step-by-step explanation:
*View attached graph*
Please help!
I need it like ASAP!!
Thank you so much though
how do i estimate 13.5/5=?
Answer:
3
Step-by-step explanation:
Round to nearest 5 - 15
Divide 15 by 5 - 3
Answer:
5% of 13.5 is 0.675
Step-by-step explanation:
We need to determine 5% of 13.5 now and the procedure explaining it as suchStep 1: In the given case Output Value is 13.5.Step 2: Let us consider the unknown value as x.Step 3: Consider the output value of 13.5 = 100%.Step 4: In the Same way, x = 5%.Step 5: On dividing the pair of simple equations we got the equation as under13.5 = 100% (1).x = 5% (2).(13.5%)/(x%) = 100/5Step 6: Reciprocal of both the sides results in the following equationx%/13.5% = 5/100Step 7: Simplifying the above obtained equation further will tell what is 5% of 13.5x = 0.675%Therefore, 5% of 13.5 is 0.675
brainliest to best answer
Step-by-step explanation:
geometric sequence means that every term is created by multiplying the previous term by a constant factor.
we can see the constant factor directly, I am sure, but let's do it formally correct :
-1/8 × f = -1/4
f = -1/4 / -1/8 = -1/4 × -8/1 = -8/-4 = 2
so, yes, every new term of the sequence is created by multiplying the previous term by 2.
a0 = -1/8
a1 = a0 × 2 = -1/8 × 2 = -2/8 = -1/4
a2 = a1 × 2 = a0 × 2×2 = -1/8 × 2×2 = -1/8 × 4 = -4/8 = -1/2
...
an = a0 × 2^n = -1/8 × 2^n
a6 = -1/8 × 2⁶ = -1/8 × 64 = -8
so, the only questing is, where does your teacher start the count for such a geometric sequence ?
do you call the first term a0 or a1 ?
my solution above starts with a0.
but if it should start with a1, then we need to reduce the exponents of 2 by 1 :
an = -1/8 × 2^(n-1)
and a6 would be
a6 = -1/8 × 2⁵ = -1/8 × 32 = -4
How can i solve Sin 40 = 10/n and Tan 50 = m/10
What is the value of sec 65 (degrees)? I cannot understand how to input this into my calculator any help is much appreciated!!
Answer:
SEC 65 DEGREES= 2.366
Step-by-step explanation:
JUST USE SEC OF 65, MAKE SURE YOU SELECT DEGRES FOR AN ANSWER
In this question you are not allowed to use a calculator. Show all yo calculations. 6.1 Calculate: -24
[tex] \div [/tex]
-8-13
if the -8-13 are both in the denominator
-24/(-8-13)
-24/-21
divide both sides by -3
[-24/-3] / [-21/-3]
8 / 7
if the -13 comes after the division
(-24/-8) -13
3 - 13
-10
6 men, working 8 hours a day, earn $8400 per week. will the be the earning per week of 9 mean who work for 6 hours a day
Answer:
Let 6 men (M1) working 8 hours (D1) earn $8400 (W1).
∴ 9 men (M2) working six hours (D2) earns:
M1 × D1/W1 = M2 × D2/W2
W2 = 8400 × 9 × 6/6 × 8
= 9450
Step-by-step explanation:
what is 16/27 reduced to
Answer:
This is the most simplified form of the fraction. As a percentage, 16/27 = 59.3% and as a decimal it is 0.593.
Step-by-step explanation:
Answer:
16/27
Step-by-step explanation:
Here we will simplify 16/27 to its simplest form and convert it to a mixed number if necessary.
In the fraction 16/27, 16 is the numerator and 27 is the denominator.
When you ask "What is 16/27 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.
We do this by first finding the greatest common factor of 16 and 27, which is 1.
Then, we divide both 16 and 27 by the greatest common factor to get the following simplified fraction:
16/27
Therefore, this equation is true:
16/27 = 16/27
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
16/27 = Proper Fraction
What effect did Geometry bring to the world/humans? Explain your answer in 3-5 sentences.
Answer:
Geometry has influenced how civilizations have constructed buildings and stadiums. In Ancient Greece, the “golden rectangle” was used to build aesthetically pleasing buildings that look to be in perfect proportion. It helps in the accurate calculation of the physical distances. It is employed in the field of astronomy to map the distances between stars & planets and between different planets. It also aids in the determination of a relationship between the movements of different bodies in the celestial environment.
Step-by-step explanation:
Pls, choose me as brainliest!
Which expression is equivalent to n+n+n?
A. 3^n
B. 3n
C. n^3
D. n+3
Answer:
B. 3n
Step-by-step explanation:
n + n + n = 3n
------------------------------------------
3n = n + n + n
#IhopeThisHelp
What is the solution to the equation 21/-4h=14/11+h
h = -3
Step-by-step explanation:
21/-4h =14/11+h
21×(11+h) =14×-4h
231+21h= -56h
21h+56h= -231
77h=-231
h=-231/77
h= -3Please mark my answer the brainliest and rate me 5 star and follow me.Answer:
-3
Step-by-step explanation:
what negative number is the same distance from 0 as the number +4
Answer:
-4
Step-by-step explanation:
They would be the same distance considering 0 is your midpoint.
Which of the following are right triangle congruence theorems?
*Check all that apply.* (IMPORTANT)
A. Leg-leg(LL)
B. Hypotenuse-angle (HA)
C. Hypotenuse-leg (HL)
D. Leg-angle (LA)
[tex][Hello,BrainlyUser][/tex]
Answer:
A. Leg-leg (LL)
B Hypotenuse-angle (HA)
C Hypotenuse-leg (HL)
D. Leg-angle (LA)
Step-by-step explanation:
The HA theorem proves that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.
The HL theorem proves that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The LL theorem proves that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The LA theorem proves that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.
Thus, All of them are Correct.
[CloudBreeze]
write an equation for the line in slope-intercept form (please help due today‼️)
Answer: 5
Step-by-step explanation: You have to do rise overrun which is [tex]\frac{5}{1}[/tex], which equals 5.
Answer:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.
Step-by-step explanation:
i hope the above help you find it
all the best mate !
Please show work for problem
Add the polynomials.(8x2-7x+7)+(8x3-5x)
Answer:
8x^3+8x^2-12x+7
Answer:
8x³ + 8x² - 12x + 7
Step-by-step explanation:
(8x² - 7x + 7) + (8x³ - 5x)
8x² - 7x + 7 + 8x³ - 5x
8x³ + 8x² - 12x + 7
I hope this helps!
Write an algebraic expression to represent the situation. 3 times the sum of m and 7. *
Answer:
answer should 3(m +7).
Step-by-step explanation:
times = ×
sum = +
Answer:
3(m + 7)
hope it helps and if it does please give a crown and save a town :)
Can someone please help me with this asap
Answer:
this question could also be phrased as "If a single fair 6 sided die is rolled 3 times, what is the probability it will land on a 1, then on a 1, and then on a 1 again?"Probability of landing 3 = 1/6Probability of landing 2 = 1/6Probability of landing 3 = 1/6P = 1/6 * 1/6 *1/6 = 1/256
Step-by-step explanation:
12 divided by 276 long division
Answer: Divide 276 by 12
276 divided by 12 is 23
Solution for 276 divided by 12
✍️See below how to solve this division manually.
276 divided by 12 - Long Division Solution
The solution below uses the "Long Division With Remainders Method". It is one of two existing methods of doing long division.
Start by setting the divisor 12 on the left side and the dividend 276 on the right:
23 ⇐ Quotient
―――
12)276 ⇐ Dividend
24
--
36
36
--
⇐ Remainder
276 divided by 12 is an exact division because the remainder is zero.
Step-by-step explanation: Hope this helpsWhich values are outliers? 6. 1, 3. 9, 6. 4, 10. 6, 4. 4, 4. 5, 1. 6, 11. 2, 0. 8, 3. 9, 6. 5 Select Outlier or Not Outlier for each data point. Data Outlier Not Outlier 0. 8 Outlier – 0. 8 Not Outlier – 0. 8 1. 6 Outlier – 1. 6 Not Outlier – 1. 6 10. 6 Outlier – 10. 6 Not Outlier – 10. 6 11. 2 Outlier – 11. 2 Not Outlier – 11. 2.
Answer:
10 and 11
Step-by-step explanation:
An outlier is a number that is much larger or smaller than the general populous of numbers. For example, if there was a dot plot with dots clustered at 2, 3, and 5, but there was one or two dots around 10, then 10 would be considered an outlier.Let's put the numbers in order to see easier which numbers are outliers. I will not copy down repeating numbers.0, 1, 2, 3, 4, 5, 6, 10, 11.10 and 11 are isolated.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
i need help fast.i don't have much time.
Answer:
B. 3(x + 2y + 1)
Step-by-step explanation:
You can expand 3(x + 2y + 1) by multiplying 3 by each thing in the brackets:
3 × x which is 3x3 × 2y which is 6yand 3 × 1 which is 33(x + 2y + 1) is the same as 3x + 6y + 3
Hope this helps!
Answer:
The answer is B because of factorization and the distributive law.