Answer:
The probability cannot be determined.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
We have a sample of size less than 30, and since the distribution is not normal, the central limit theorem cannot be used, and the probability cannot be determined.
The surface is frictionless,Two blocks in contact with each other move
to the right across a horizontal surface by the two forces shown
Determine the magnitude of the force exerted on the block with mass 1.4 kg by the block with mass 6.4 kg.
Answer in units of N
9514 1404 393
Answer:
55 8/39 N ≈ 55 N
Step-by-step explanation:
The net force on the 1.4 kg block is proportional to its mass. That is, the ratio of net force on that block to the net force on the total mass is the same as the ratio of the block's mass to the total mass.
net force on 1.4 kg = (1.4 kg)/(1.4 +6.4 kg) × (64 N -15 N) = (7/39)(49 N)
net force on 1.4 kg = 8 31/39 N
Then the force applied by the 6.4 kg mass is ...
64 N - 8 31/39 N = 55 8/39 N ≈ 55 N . . . . applied by 6.4 kg mass
Plot a point on the coordinate plane to represent each of the ratio values in the table.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the table
Time (h) Distance (km)
1 2
3 6
6 12
9 18
As the time (h) is represented on the x-axis and the distance (km) is represented on the y-axis.
We know that the first coordinate of an ordered pair or point (x, y) is called the x-coordinate and the second coordinate is called the y-coordinate.
Thus, from the table, we get the following points:
(1, 2), (3, 6), (6, 12), and (9, 18)
The given points are plotted on the graph attached below.
From the graph, it is clear that:
Point (1, 2)
Point (1, 2) is represented at x = 1 and y = 2.
Thus, at the point (1, 2):
Speed = Distance / Time = 2/1 = 2km per hour
Point (3, 6)
Point (3, 6) is represented at x = 3 and y = 6.
Thus, at the point (3, 6):
Speed = Distance / Time = 6/3= 2km per hour
Point (6, 12)
Point (6, 12) is represented at x = 6 and y = 12.
Thus, at the point (6, 12):
Speed = Distance / Time = 12/6= 2km per hour
Point (9, 18)
Point (9, 18) is represented at x = 9 and y = 18.
Thus, at the point (9, 18):
Speed = Distance / Time = 18/9= 2km per hour
Please check the attached graph.
5, 80, 1280, 20480, 327680, ...
Answer:
It's multiplying by 16 every time... so the next answer is 5242880
Step-by-step explanation:
327680 x 16 = 5242880
The measures of the three angles whose sum is 120° are in the extended ratio 2:5:8 find the exact angle measures
Answer:
ans is 16°,40°and64°
let ratio be 2x,5xand 8x
Step-by-step explanation:
their sum=120°
2x+5x+8x=120
15x=120
x=120/15=8°
2x=2×8=16°
5x=5×8=40°
8x=8×8=64°
The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x
Answer:
A= 2pirh +2pir^2
972=2 x pi x x x 5x + 2 x pi x x^2
972= 31.4x^2 + 6.28x^2
972=37.68x^2
x^2= 972/37.68
x^2=25.796
x= 25.796 square root
x= 5
The value of x is 5 cm.
What is a cylinder?A cylinder is a three-dimensional figure that has a radius and a height.
The volume of a cylinder is given as
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm
We have,
The surface area of a cylinder = 972 cm²
The surface area of a cylinder.
= 2πrh + 2πr²
Diameter = 2x
Radius = x
Height = 5x
Now,
2πrh + 2πr² = 972
2π (rh + r²) = 972
2π (5x² + x²) = 972
2π x 6x² = 972
6x² = 972/(2 x 3.14)
6x² = 154.78
x² = 25.79
x = √25.79
x = 5.08
x = 5
Thus,
x value is 5.
Learn more about cylinder here:
https://brainly.com/question/15891031
#SPJ2
What adaptations allow the same bacteria that live on Earth to live on the International Space Station (ISS)? (Select all that apply.)
living in an environment with increased carbon dioxide levels
living in an environment with increased radiation levels
living in an environment with increased water levels
living in an environment with increased oxygen levels
WILL GIVE BRAINLY
Answer:
living in an environment with increased carbon dioxide levels.
Step-by-step explanation:
International Space Station have higher carbon dioxide levels as compared to the earth. The earth's atmosphere has now changed due to increased carbon emission by vehicles and factories. The environmental pollution has increased and the trees are being cut which has created an environment less of oxygen and more of carbon dioxide. Bacteria's find it easy to live on earth because of increase carbon dioxide levels.
Answer:
living in an environment with increased radiation levels and living in an environment with increased carbon dioxide levels.
Step-by-step explanation:
Hope you get it right!! :))
What is the answer 2/3 + 5/12 =
Answer:
then answer is 13/12
Step-by-step explanation:
(8+5)/12
13/12
A company prints contest codes on its fun-size bags of
candy. Each 6-character code consists of the letter A
followed by the letter H followed by 4 of the digits 0
through 9. The digits may repeat. Which of the
following expressions gives the number of different
6-character codes that are possible?
F. 1(1)(10)(10)(10) (10)
G. 2(1)(10)(9)(8)(7)
H. 2(1)(10)(10)(10)(10)
J. 2(2)(10)(9)(8)(7)
K. 2(2)(10)(10)(10)(10)
Using the Fundamental Counting Theorem, it is found that the expression that gives the number of different 6 -character codes that are possible is:
F. 1(1)(10)(10)(10) (10)
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the first two digits, there is only one outcome, A and H, respectively, hence [tex]n_1 = n_2 = 1[/tex].For the next four digits, as the digits may repeat, there are ten possible outcomes for each, hence [tex]n_3 = n_4 = n_5 = n_6[/tex].Hence:
[tex]N = 1 \times 1 \times 10 \times 10 \times 10 \times 10[/tex]
And option F is correct.
To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866
I need help please.
Answer:
0.1 is 5% of 2.
Step-by-step explanation:
Steps:
0.1 ÷ 5% = 2%
Answer:
2
Step-by-step explanation:
5% of 2 is 0.1
50% is 1
5% is 0.1
A total of 31 microphones are to be purchased. Each microphone costs $249 estimate the total purchase price by using round numbers
Answer:
The answer is 7,500
Step-by-step explanation:
31 rounds to 30 and 249 rounds to 250. 30 times 250 is 7,500. I hope this helps.
what does equal (+3) * (+9)=
Answer:
27, we know that +3 and +9 are just the same without the signs. And 3 * 9 = 27.
You complete two events of a triathlon. Your goal is to finish with an overall time of less than 100 minutes. a. Select an inequality that represents how many minutes x you can take to finish the running event and still meet your goal. Then solve the inequality. swimming-18.2 biking-45.5
I need to know what this is
Answer:
[tex]★\:\: \frac{3 {x}^{3} - 18 {x}^{2} + 27x}{2 {x}^{2} + 2x - 12}\:when\:x≠2,\:3 \\ = \frac{3x( {x}^{2} - 6x + 9) }{2( {x}^{2} + x - 6) } \\ = \frac{3x( {(x)}^{2} - 2 \times (3) \times (x) + {(3)}^{2} ) }{2( {x}^{2} + 3x - 2x - 6) } \\ = \frac{3x {(x - 3)}(x - 3) }{2(x(x + 3) - 2(x + 3))} \\ = \boxed{‡ \frac{3x {(x - 3)}^{2} }{2(x + 3)(x - 2)}‡}✓[/tex]
3x(x-3)²/2(x+3)(x-2) is the right answer.What is the equation of the line that passes through the point (4,11) and is perpendicular to the line with the following equation? Y=4/3x+7
Answer:
Step-by-step explanation:
y = (4/3)x+7
Slope of the line is 4/3.
Slope of any perpendicular to the line is -¾.
Point-slope equation for line of slope -¾ that passes through (4,11):
y-11 = -¾(x-4)
Of course, you may want to rearrange it to slope-intercept form or standard form.
y = -¾x+15 slope-intercept
x+4y = 60 standard
Type the given number as a product of prime numbers. 135
Answer:
the guy on top is Wright hdjdbzudvsjahdjsvdhhdusvs
75=0.25 X 1.33N
How do you solve for N
Answer:
N=625/3
Step-by-step explanation:
1) 0.25 ⋅ 1.44N=75
2) 0.36N=75
3) 0.36N/0.36 = 75/0.36
4) N= 625/3
Hope that helps
Have a good day
Solve -15 =p+2.
Enter your answer in the box.
-15 = p + 2
-15 – 2 = p + 2 – 2
___ =P
Answer:
the answer is -17.......
What is the answer to this ?
Answer:
B shows a translation of three units to the right
NEED AN ANSWER QUICKK Ayo and Ria are both travelling by train.
Ayo's train travels 90 km in 50 minutes.
Ria's train travels 476 km.
It leaves at 14:05 and arrives at 17:35.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
28
Step-by-step explanation:
I guessed it right on hegarty maths and this was the answer
Tn=n^2+bn+c. Find the values of b and c if the sequences starts with - 1,2,7,14,..
Answer:
no
Step-by-step explanation:
no
Given the endpoint of (-5, - 3) and midpoint of
of (-0.5,0)
find the coordinate point of the other endpoint
Answer:
You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.
Step-by-step explanation:
SLOPE FORMULA-
y2-y1 / x2-x1
nickel has an approximate diameter of 20 mm and an approximate thickness of 2 mm what is the approximate volume of a stack of 40 nickels?
Answer:
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.
Step-by-step explanation:
A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels ([tex]V_{net}[/tex]), measured in cubic milimeters, is the product of the number of elements ([tex]n[/tex]), no unit, and the volume of each element ([tex]V[/tex]), measured in cubic milimeters. That is:
[tex]V_{net} = n\cdot V[/tex] (1)
By volume equation of right cylinder, we have the following formula:
[tex]V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h[/tex] (2)
Where:
[tex]n[/tex] - Amount of nickels, no unit.
[tex]D[/tex] - Diameter of nickel, measured in milimeters.
[tex]h[/tex] - Thickness of nickel, measured in milimeters.
If we know that [tex]n = 40[/tex], [tex]D = 20\,mm[/tex] and [tex]h = 2\,mm[/tex], then the net volume of the stack of nickels is:
[tex]V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)[/tex]
[tex]V_{net} \approx 25132.741\,mm^{3}[/tex]
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.
A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.4% of the 458 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period.
Define the Random Variables X and P', in words. which of the following?
a. X is the proportion of people who ran and died in the eight-year period, and P' is the number of people who ran and died in the eight-year period.
b. X is the proportion of all runners that die, and P' is the number of all runners that die.
c. X is the number of people who ran and died in the eight-year period, and P' is the proportion of people who ran and died in the eight-year period.
d. X is the number of all runners that die, and P' is the proportion of all runners that die.
Answer:
The correct answer is c.
Step-by-step explanation:
x represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion
P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%
P= 6.41÷458×100=1.4%
The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant. If according to the projections, 100000 cartridges are sold at 10 dollars per cartridge, how many cartridges will be sold at 20 dollars per cartridge?
Answer: 149 cartridges will be sold at 20 dollars per cartridge.
Step-by-step explanation:
Given: The projected sales volume of a video game cartridge is given by the function [tex]s(p)=\dfrac{3000}{2p+a}[/tex], where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.
Put s(p)=100000, p= 10, we get
[tex]100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97[/tex]
i.e. [tex]s(p)=\dfrac{3000}{2p-19.97}[/tex]
Put p=20, we get
[tex]s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149[/tex]
Hence, 149 cartridges will be sold at 20 dollars per cartridge.
how many turning points will a quartic fumction with four real zeros have?
upto four roots or zero......
In a regular polygon, all the angles have the same measure. Martin drew a regular polygon in which the sum of the interior angles was 540°. What is the measure of each angle in Martin’s drawing?
Answer:
108°
Step-by-step explanation:
Answer:
108°
Step-by-step explanation:
I got 100%
Which triangle is a translation of the gray triangle?
O ΔDEF
Ο ΔABC
O Neither
Answer:
abc
Step-by-step explanation:
The graph below shows the number of points each team scored how many more points did the marlins have than the torpedoes?
A 250
B 300
C 350
D 450
Answer:
300
Step-by-step explanation:
-9=2x-5
Please help me now.....
What is 3 meters converted to potential energy
Answer:
4 meters
Step-by-step explanation: