The probability that out of 20, 14 agree to answer is:
P(14) = 0.109
How to find the probability?
We know that the 80% of the respondents will agree to answer the opinion poll (and 20% don't).
Then the probability that a random respondent agrees to answer the poll is 0.8
Now, the probability that out of 20, 14 agree to answer, is:
[tex]P(14) = C(20, 14)*(0.8)^{14}*(0.2)^6[/tex]
Where C(20, 14) is the number of different combinations of 14 elements that we can make out of the 20 elements (the number of permutations).
[tex]C(20, 14) = \frac{20!}{(20 - 14)!*14!} = \frac{20*19*18*17*16*15}{6*5*4*3*2} = 38,760[/tex]
Replacing that in the probability, we get:
[tex]P(14) = 38,760*(0.8)^{14}*(0.2)^6 = 0.109[/tex]
If you want to learn more about probability, you can read:
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A quality control manager at a tortilla company wants to estimate the mean diameter of the tortillas
produced by a certain machine. The manager is deciding between a 90% confidence level and a 95%
confidence level. Compared to a 90% confidence interval, a 95% confidence interval will be,,
a. Narrower and the margin of error would increase
b. Wider and the margin of error would increase
c. Narrower and the margin of error would decrease
d. Wider and the margin of error would decrease
Answer:
C. Narrower and the margin of error would decrease
The required, option b (wider and the margin of error would increase) is the correct answer.
What is the margin of error?In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.
Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.
This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.
Therefore, option b (wider and the margin of error would increase) is the correct answer.
Learn more about the margin of error here:
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What's the difference between 2/8 and 5/8?
Answer:
-3/8
Step-by-step explanation:
the length of a rectangle is 3 meters more than twice its width what is the width of the rectangle if the area is 9 m^2. pls help. solve by using applications of quadratics
Step-by-step explanation:
answer is shown above, that is a tricky question though.
algebric expression 2f + 14 3 + 7f - 10 5.
•••••••••••••••••••••••••••••••••••••••••••••••••••
2f + 14 3 + 7f - 10 5.
Simplify:
[tex] = (9f + 38)[/tex]
•••••••••••••••••••••••••••••••••••••••••••••••••••
#Carry on Learning
Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point
The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.
What is distance?Distance is actually known as the amount of space between two points. When calculating speed, it is given as:
Speed = distance ÷ time
The spy's distance in t hours:
Distance = 60 × t = 60t.
The special agent's distance in t hours:
Distance = 90 × t = 90t
The distance between them will be =
Distance of special agent minus distance of the spy: 90t - 60t = 30t.
By the time the chase begins, the distance between the spy and special agent will be:
(2 × 60mph) - 0 = 120m - 0.
= 120m.
Time taken for the special agent to catch the spy: 120 + 60t = 90t
120 = 90t - 60t
120 = 30t
t = 120/30 = 4 hours.
Speed the special agent should chase the spy:
Distance = 240 miles
Time = 4 hours.
Then Speed = 240/4 = 60mph.
Learn more about speed on https://brainly.com/question/4931057
The perimeter of the figure below is 84.6 ft. Find the length of the missing side.
Answer:
7.3 ft.
Step-by-step explanation:
The perimeter of a geometrical figure is calculated by adding all side lengths up:
The perimeter of the figure in question is 84.6 ft.
2*(3.4) + 2*(11.3) + 6*(6.8) + (7.1) + ? = 84.6 (it's easier if we write equal terms in multiplying form)
77,3 + ? = 84.6 subtract 77.3 from both sides
? = 7.3 is the length of the missing side
I NEED HELP RIGHT NOWW
what is the y intercept of this line
Answer:
(0,21)
Step-by-step explanation:
when you want to find the x intercept make y=0
to find the y intercept make x=0
Sharon and Paul gave a 15% tip after having their hair cut. The amount of the tip was $6. Sharon's
haircut cost $25. Write and solve an equation to find x, the cost of Paul's haircut?
Answer: 31
Step-by-step explanation:
25+6 which equals the answer 31!
An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
pls what is the awer
10/75=13.333333334 so around 66 people
you can also just divide 500 by 75 then take it times 10 :)
5/6-(2/3-4/9)= (5/6-2/3)-4 is this equal
This equation is False.
5/6-(2/3-4/9) = 11/18
(5/6-2/3)-4 = -23/6
Showing two different answers, so no they are not equal.
[tex] { \alpha }^{2} \beta + \alpha { \beta }^{2} [/tex]
Please solve this
The diameter of a circle is 13 m. Find its circumference in terms of pie
Answer:
The answer is [tex]13\pi[/tex] or 40.84
Step-by-step explanation:
We are given the diamater so
[tex]r=\frac{d}{2}[/tex]
[tex]r=\frac{13}{2}[/tex]
[tex]r=6.5[/tex]
Formula for circumference.
Take note.
C = circumference
r = radius
[tex]C=2\pi r[/tex]
You want your answer in terms of Pi.
So we can write another equation.
[tex]2\pi r=\pi x[/tex]
x stands for the number in terms of Pi.
Now we can solve for x.
[tex]x=\frac{2\pi r}{\pi }[/tex]
Now lets plug in what we know.
[tex]x=\frac{2*\pi*6.5 }{\pi }[/tex]
[tex]x=13[/tex]
Jack drives to his grandmother’s house at a constant rate of 65 miles per hour. If he can get to her house in 2 hours, how far does he live from his grandmother?
O:63
O:67
O:130
O:195
Answer:
130
Step-by-step explanation:
just multiply 65 by 2 and you get 130
Which one should I choose
Answer:
b) Quad ABCD must be a rectangle and could be a rhombus
Step-by-step explanation:
:)
Use the data below.
22, 16, 18, 14, 16, 34, 20
Mean:
Median:
Mode:
Range:
Step-by-step explanation:
mean = sum of all data points / number of data points
(22+16+18+14+16+34+20)/7 = 140/7 = 20
median is the number, where half of the data points are smaller, and the other half are larger.
first we need to sort the data points
14, 16, 16, 18, 20, 22, 34
median = 18
mode is the data point occurring most often.
mode = 16 (occurring 2 times, while the others occur only once).
range is the difference between the largest and the smallest data point.
range = 34 - 14 = 20
Answer please!!!
Best answer gets brainliest!!!
Answer:
B. 6
Step-by-step explanation:
So in order to find this, you need to find the middle of the first quadrant, and the middle of the third quadrant. In this case, we would do, (11+13)÷2. This would equal 12. Next we do (19+17)÷2=18. Now we do 18-12=6
The charge of an atom is the sum of the charges of its protons, neutrons, and electrons.
• Each proton has a charge of e.
• Each neutron has a charge of 0.
Each electron has a charge of -e.
An atom consists of 6 protons, 10 neutrons, and 4 electrons.
How many electrons would need to be added to make the charge of the atom 0?
Answer:
2 electrons
Step-by-step explanation:
2 electrons is the answer
If u need explanation do mention in comments
Answer:
*2 electrons more*
Explanation:
In an atom the number of electron and protons must be same.Otherwise, it will have charge and form ions. [ ignore the neutrons ]
Here,
protons: 6electrons: 4The electron and proton is unbalanced, In order to make them same.
2 more electrons need to be added to make total 6 electrons.
75% of 1250
find the value
Answer:
937.5
Step-by-step explanation:
Given:
75% of 1250
Note:
Of = Multiply
Solve:
75% × 1250
= 937.5
~Lenvy~
Answer:
937.5
Step-by-step explanation:
We Know That 75% Is Same As 75
100
So, You Start By Dividing That, Or Making The Calculation Together, You Say
[tex] \frac{75}{100} \times \frac{1250}1[/tex]
[tex]0.75 \times 1250[/tex]
[tex] = 937.5[/tex]
complete the proof, word bank at bottom
Answer:
Step-by-step explanation:
2) definition of angle bisector
4) division property of equality
5) division property of equality
6) substitution property
7) SAS similarity
Write an equation in slope-intercept form for the line that passes through (6,6) and is
perpendicular to the line described
Answer:
Step-by-step explanation:
Solution :
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = 2/3 x -2
So : product for two slopes = -1 means : m×2/3=-1
m = -3/2
now : y = -3/2 x+b
but this line :
through the point (6,6) : 6 =(-3/2)(6)+b....... b=15
conclusion :
the equation is : y = -3/2x +15
The work shows the long division of 647 ÷ 3.
Find the values of a and b in the long division problem.
a =
b =
So, 647 3 = 215 +
I'm assuming ratio of a to b is the remainder of the long division.
What is the measure of x? Please help asap!
[tex]4x + x = 180[/tex]
[tex]5x = 180[/tex]
[tex]x = \frac{180}{5} = 36[/tex]
Answer:
36
Step-by-step explanation:
This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.
x + 4x = 180
5x = 180
180/5 = 36
If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.
In a school there are 1970 pupils. If there are 799 boys, how many more girls are there than boys?
As per linear equation, there are 372 more girls in school than boys.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant."
Given, there are 1970 pupils.
There are 799 boys in the school.
Therefore, the number of girls in the school is
[tex]= (1970-799)\\= 1171[/tex]
Therefore, the number of girls more than boys in the school is
[tex]= (1171-799)\\= 372[/tex]
In that school , there are 372 more girls than total number of the boys.
Learn more about linear equation here: https://brainly.com/question/11897796
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Write the following as an inequality.
8 is greater than or equal to w, and w is greater than 4 use w only once in your inequality
Answer:
8 ≥ w > 4
Step-by-step explanation:
This says the w is greater or equal to 8 but it also says that w is greater than 4.
Answer:
8 ≥ w > 4
Step-by-step explanation:
Because 8 is greater than or equal to w, and w is greater than 4.
Pls help i will give 5 starts and brainliest question is down below 9:22
Answer:
r, p, q
Step-by-step explanation:
Answer:
#30 is 8.40 B)
#31 is R P Q A)
Step-by-step explanation:
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu
Hope this helps Youuuuuuuu
Find the area of a right triangle with side lengths 12 cm, 35 cm, and 37cm
Answer:
210 cm sq
Step-by-step explanation:
Area of a triangle is 1/2bh.
12 cm and 35 cm would be both sides of the triangle, not 37 cm because it is the hypotenuse (largest side).
1/2*12*35=210 cm sq
In creating a new scale for the mercury thermometer, anders celsius initially set the boiling point of water at _____. a. 0° b. 32° c. 100° d. 273°
Answer: 100 °
Step-by-step explanation:
Here, angles A is 23 degrees. What can we say about other angles B and C…. Help please
Answer:
Both are 157 degrees
Step-by-step explanation:
A and B form a linear pair, meaning together they should create 180 degrees. 180 - 23 = 157. Since B and C are vertical angles, they must both be the same. A vertical angle is when two angles are on opposite sides.
Answer:
Step-by-step explanation:
Linear pair: Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.
a +b = 180 {Linear pair}
23 + b = 180
b = 180 - 23
b = 157°
c = b {Vertically opposite angles are congruent}
c = 157°