The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.
Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.
But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then
Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]
… ≈ Pr[Z < -2.0402]
… ≈ 0.0207
68 is 40% of what number?A.17 B.136 C.170D.270
Answer:
C. 170
Step-by-step explanation:
68/4=17
17 is 10% of the unknown number
17 times 10 is 170
Answer:
C. 170Step-by-step explanation:
68 is 40% of what number?
A.17
B.136
C.170
D.270
68 : 40 * 100 = 170
A square that measures 2 inches by 2 inches.
What is the perimeter of the square?
Answer:
8
Step-by-step explanation:
this is because a square has 4 and one side has a measurement of 2in
so you would and all the sides (2+2+2+2) which will give you an answer of 8
(x+1)/(x+2)=3/4
Solve the equation
Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40%
chance of him selling a candy bar at each house. He has to sell 5 candy bars in all. Let X be
of number of houses it takes.
i. Name distribution (with parameter(s)) of X.
ii. What is the probability he sells his last candy bar at the 11th house?
iii. What is the probability of Pat finishing on or before the 8th house?
Probabilities are used to determine the chances of events.
The given parameters:
[tex]n = 5[/tex] ---- the number of candy bars
[tex]p = 40\%[/tex] ---- the probability of selling a candy bar
(a) Name distributions
The distribution of X is represented as:
[tex]X \sim(r,p)[/tex]
Where:
[tex]r = 5[/tex]
[tex]p= \frac{5\times 40\%}{10}[/tex]
[tex]p= 0.2[/tex]
So, the name distribution of X is [tex]X \sim(r= 5,p = 0.2)[/tex]
(b) The probability that the last candy is sold at the 11th house
This means that:
[tex]n = 10[/tex] --- the number of previous houses
[tex]r = 4[/tex] --- the previous number of candies
[tex]p = 0.4[/tex] --- the given probability of selling a candy
The probability is calculated using:
[tex]P(x = n+1) = ^{n}C_r \times p^{r +1} \times (1 - p)^{n-r}[/tex]
This gives
[tex]P(x = 10+1) = ^{10}C_4 \times 0.4^{4 +1} \times (1 - 0.4)^{10-4}[/tex]
[tex]P(x = 11) = ^{10}C_4 \times 0.4^{5} \times (0.6)^6[/tex]
[tex]P(x = 11) = 210 \times 0.4^5 \times 0.6^6[/tex]
[tex]P(x = 11) = 0.1003290624[/tex]
Approximate
[tex]P(x = 11) = 0.1003[/tex]
Hence, the probability that the last candy is sold at the 11th house is 0.1003
(b) The probability he sells the candies on or before the 8th house
The probability is calculated using:
[tex]P(x \le 8) = P(5 \le x \le 8)[/tex]
This gives
[tex]P(x \le 8) = ^{10}C_5 \times 0.4^{6} \times (0.6)^5 + ^{10}C_6 \times 0.4^{7} \times (0.6)^4 + ^{10}C_7 \times 0.4^{8} \times (0.6)^3 +^{10}C_8 \times 0.4^{9} \times (0.6)^2[/tex]
[tex]P(x = 11) = 0.1737[/tex] ---- approximated
Hence, the probability he sells the candies on or before the 8th house is 0.1737
Read more about probabilities at:
https://brainly.com/question/251701
8 with an exponent of 2 +9(12 divided by 3 x 2)-7 simplify with steps please
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf {8}^{2} + 9(12 \div 3 \times 2) - 7[/tex][tex] \sf64 + 9(4 \times 2) - 7[/tex][tex] \sf64 + 9(8) - 7[/tex][tex] \sf64 + 72 - 7[/tex][tex] \sf136 - 7[/tex][tex] \sf129[/tex]The equation \sqrt{6-y^2}=x
6−y
2
=x is a function of yy."
Equations are used to represent functions, and vice versa.
The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]
The function is given as:
[tex]\sqrt{6-y^2}=x[/tex]
Square both sides
[tex]6-y^2=x^2[/tex]
Subtract 6 from both sides
[tex]-y^2=x^2 - 6[/tex]
Multiply both sides by -1
[tex]y^2=6 - x^2[/tex]
Take square root of both sides
[tex]y=\sqrt{6 - x^2[/tex]
Express as a function
[tex]f(x) = \sqrt{6- x^2[/tex]
Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]
Read more about functions and equations at:
https://brainly.com/question/13336451
The data set below shows a relationship between the number of hours tara works and her paycheck:{ 1, 25), (2, 40), (3, 55), (4, 70), (5, 85), (6, 100) what is Tara's hourly pay rate?
Step-by-step explanation:
Need to find out total hours and total pay and simplify the answer.
Total Hours = 1+2+3+4+5+6 = 21
Total Pay = 25+40+55+70+85+100 = 375
Pay ÷ Hours = 375 ÷ 21 = 17.86
Not convinced with this answer tbh but it's what I got.
A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure
A.number of seats
B.type of transmission
C.presence of a sunroof
D.fuel efficiency (in mpg)
Answer:
Its Number of Seats
Step-by-step explanation:
GIVING 25 POINTS
Why won’t you ever have a remainder when dividing decimals?
Answer:
Because it is decimal
Step-by-step explanation:
Decimal do not have remainder
help me plssssss
ssssssssss
Answer:
The answer is going to be A
Step-by-step explanation:
What is the sum of 6/7 and 1/2?
Answer: [tex]\frac{19}{14}[/tex] in improper form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.
Step-by-step explanation: [tex]\frac{6}{7}[/tex] + [tex]\frac{1}{2}[/tex] = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. [tex]\frac{6}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{12}{14}[/tex] Then [tex]\frac{1}{2}[/tex] x [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{14}[/tex] Now you add [tex]\frac{12}{14}[/tex] and [tex]\frac{7}{14}[/tex] together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be [tex]\frac{19}{14}[/tex] in improper fraction form and [tex]1\frac{5}{14}[/tex] in mixed fraction form.
The sum of the fraction 6/7 and 1/2 is 19/14
How to add fractionsGiven:
sum of 6/7 and 1/2
Sum means addition(+)
= 6/7 + 1/2
The least common denominator is 7 × 2 = 14
= 6/7 + 1/2
= (12+7) / 14
= 19/14
Therefore, the sum of 6/7 and 1/2 is 19/14
Learn more about fraction:
https://brainly.com/question/11562149
Find the projection of u onto v.
- Is the answer on the bottom correct?
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
[tex]W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\[/tex]
=====================================================
Explanation:
The scale factor is 2, which means we double each coordinate of each point. The general rule is [tex](x,y) \to (kx,ky)[/tex] with k = 2. So we can say the more specific dilation rule is [tex](x,y) \to (2x,2y)[/tex]
Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.
The given preimage points
V = (-2, -1)W = (-2, 2)X = (0, 2) Y = (3, -1)will dilate to the corresponding image points
V ' = (-4, -2)W ' = (-4, 4)X ' = (0, 4) Y ' = (6, -2)as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.
PLS HELP ME WITH GEOMETRY PLSAND THANK YOU
Answer:
Yes
Step-by-step explanation:
They are equal acute triangles, are congurent. Your welcom
Need help need help need help need help need help need help need help
Answer:
10 to 11 would be correct
Answer:
10 to 11
Step-by-step explanation:
What is the equation of a line that is parallel to y = -2x + 1 and passes through the point (3, -2)?
Answer:
y=-2x+4
Step-by-step explanation:
Since it is parallel, it has to have the same slope m=-2. Just use the equation y-y=m(x-x) to solve the equation of the line.
[tex]y-y_0=m(x-x_0)\\y-(-2)=-2(x-3)\\y+2=-2x+6\\y=-2x+4[/tex]
Jessica runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?
Answer:
If I am wrong I appologize I haven't done this math in years
Step-by-step explanation:
60÷7= 8.57
so each mile takes 8.57 mins
24÷8.57= 2.8 miles
The slope of a line running through points (6, 2) and (5, 7) is: 5. -5. 1. -1.
Answer:
-5
Step-by-step explanation:
We use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-2)/(5-6)
= 5/-1
= -5
Approximately what portion of the circle is shaded blue?
A. 2/3
B. 2/10 C.2/5
Answer:
2/5
Step-by-step explanation:
Try to make equal sections. The fraction they are asking for has the shaded number of sections on top (this us called the numerator) and the total number of sections on the bottom (this is called the denominator) see image
what do i do for the 2 boxes circled in purple? help!
Cho ma trận 4 1 21 0 13 2 1A= −−−−Tính 25AI−Câu 2(3điểm)Tìm ma trận nghịch đảo của ma trận sau−=123020112ACâu 3(3điểm)Giải hệ phương trình=+−−=+−=−+02347213321321321xxxxxxxxxCâu 4(1điểm)Giải và biện luận hệ phương trìnhsau theo m1 2 31 2 31 2 3222 2 6 62 3 4 5xx xxxxxxxm− + =− + − = −− + = +HẾT.
Hi can you translate into English then I would be happy to help
What is Jada‘s vertical jump
It's probably 52 or 40.
I will give brainliest
Answer:
Equations 1 & 3 are correct.
Explanation:
Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.
Answer:
1 and 3 are correct
Step-by-step explanation:
Hello plz help with these two.
Problem 1
Answer: Choice D--------------
Explanation:
The vertices are (-12,0) and (12,0). Both of which are on the same horizontal line. Because of this, we have a hyperbola that opens leftward and rightward. Such hyperbolas are of the form
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]
where (h,k) is the center and the a,b terms help set up the asymptotes.
The midpoint of the vertices (-12,0) and (12,0) is the point (0,0). This is the center. So we know that h = 0 and k = 0.
For left/right opening hyperbolas, the asymptotes can be described as the equations:
y = (b/a)x
y = (-b/a)x
Or we can condense them into [tex]y = \pm \frac{b}{a}x[/tex]. Compare this to the given equation [tex]y = \pm\frac{5}{12}x[/tex] to see that b = 5 and a = 12.
Therefore, we get the following:
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\\\\\frac{(x-0)^2}{12^2}-\frac{(y-0)^2}{5^2}=1\\\\\frac{x^2}{144}-\frac{y^2}{25}=1[/tex]
That points us to choice D.
You chose the correct answer.
=============================================================
Problem 2
Answer: Choice A--------------
Explanation:
Divide both sides by 3600 so we can turn that "3600" into "1". Then our goal is to get that "1" to its own side like so:
[tex]25x^2-144y^2 + 3600 = 0\\\\\frac{25x^2-144y^2 + 3600}{3600} = \frac{0}{3600}\\\\\frac{25x^2}{3600}-\frac{144y^2}{3600} + \frac{3600}{3600} = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} + 1 = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} = -1\\\\-\frac{x^2}{144}+\frac{y^2}{25} = 1\\\\-\frac{x^2}{12^2}+\frac{y^2}{5^2} = 1\\\\[/tex]
We see that a = 12 and b = 5 like earlier, so we end up with the same asymptotes as before. The only difference is that this hyperbola opens upward/downward rather than left/right.
You made the correct choice in picking answer A. Both of your answers are correct. Nice work.
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.
Answer:
the answer is in the site faith mate is the same question and in that site have the response np
12a^2*b^4-36a^2*b+44abc
Let's simplify step-by-step.
[tex]12a^2*b^4-36a^2*b+44abc=[/tex]
There are no like terms.
Answer:
[tex]12a^2*b^4-36a^2*b+44abc=[/tex]
Lena bought 40 tickets to use at a carnival. She used some of the tickets to ride the bumper cars and play some games. Now she has 24 tickets left. What is the percent of decrease in the number of tickets that he has?
a. 66.6
b. 40
c. 60
d. 80
Answer:
40
Step-by-step explanation:
that's how it is done hope it will help
During a sale, a store offered a 15% discount on a camera that originally sold for $690. After the sale, the discounted price of the camera was marked up by 15%. What was the price of the camera after the markup? Round to the nearest cent.
Answer:674.475
Step-by-step explanation:
(690)(0.15)= 103.5
690-103.5= 586.5 (after first markdown)
(586.5)(0.15)= 87.975
586.5+87.975 (Final price after markup)
Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Use compatible numbers to estimate the total cost of the field trip.
Answer:
$572
Step-by-step explanation:
Since she has to pay $26 for her 22 students, you need to multiply to find the answer$26 * 22 = 572Therefore, she has to pay $572Find m
∠
F
E
D
∠FED. This question is going to be 20 points
Answer:
the answer is : 180° - (61° +61°) = 58°