A certain town has 25,000 families. The average number of children per family is 2.6, with an SD of 0.80. The distribution is not normal, however, since 20% of the families have no children at all. (a) If one draws a simple random sample of five families from the 25,000, what is the chance that exactly two of the five sample families will have no children
Answer:
0.2048 = 20.48% probability that exactly two of the five sample families will have no children.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have no children, or they do have children. The probability of a family not having children is independent of any other family. This means that the binomial probability distribution is used 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.
20% of the families have no children at all.
This means that [tex]p = 0.2[/tex]
Five families:
This means that [tex]n = 5[/tex]
What is the chance that exactly two of the five sample families will have no children?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.2)^{2}.(0.8)^{3} = 0.2048[/tex]
0.2048 = 20.48% probability that exactly two of the five sample families will have no children.
Patel made a rectangular garden in his family's backyard. 24 ft What is the perimeter of the garden? A 336 feet B 76 feet C 48 feet D 38 f
Answer:
336+76+48+38= 498
Step-by-step explanation:
add all those sides up because it is just the perimeter
Answer:
336+76+48+38= 498
Step-by-step explanation:
GIVING OUT BRAINLIEST PLS HELP! ALMOST DUE
Answer:
I think it's option B
pleaser help me i really need help please
Answer:
V ≈ 706.9 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here r = 5 and h = 9 , then
V = π × 5² × 9
= π × 25 × 9
= 225π
≈ 706.9 cm³ ( to the nearest tenth )
Can someone please help?
Answer:
The last one: 25%
Step-by-step explanation:
Answer:
25% because 25 is 1/4 of 100
Step-by-step explanation:
A spinner with 12 equally sized slices is shown below. (The 12 slices are red.) The dial is spun and stops on a slice at random. What is the
probability that the dial stops on a red slice?
Write your answer as a fraction or a whole number.
Answer:
100/100
Step-by-step explanation:
XD
what is the value of x?
the answer is 35 I did a lot of work I can't show you here
In Δ Q R S s = 7.9 cm ∠ Q = 125 ∘ and ∠ R = 23 ∘ '. Find the length of q, to the nearest 10th of a centimeter.
Answer- 12.2
Answer:
See the attachment ⬆️⬆️
Can someone please help me on this work I really need help I will but you brainly
Answer:
-3 1/4 is the answer for this question
A rectangle has a perimeter of 14 cm and length x cm. show that the width of the rectangle is (7-x)cm and hence that the area A of the rectangle is given by the formula A= x(7-x). Draw the graph, plotting x on the horizontal axis with a scale of 2cm to 1 unit, and A on the vertical axis with a scale of 1cm to 1 unit
take x from 0 to 7. From the graph find:
a) the area of the rectangle when x = 2.25cm
b) the dimensions of the rectangle when its area is 9cm^2
c) the maximum area of the rectangle
d) the length and width of the rectangle corresponding to the maximum area
e) what shape of the rectangle has the largest area
Answer:
B
Step-by-step explanation:
the dimensions of the rectangle when its area is 9cm^2
Wat is the average between 1,000, 2300,1000,2600
Answer:
1180.2
Step-by-step explanation:
The average of 1,000,2300,1000,2600 is 1180.2
PLEASEEEEEE HELLPPPPP MEEEEE
Answer:
It's A
Step-by-step explanation:
The r coordinate of x is positive 4 which would be the frist number.
The r coordinate of y is positive 1 which would be the second number.
The question is in the picture (:
Answer:
[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]
Which ordered pair belongs to the function shown by this mapping diagram?
Answer:
{(7, 3), (8, 1), (9, 1), (10, 2)}
Step-by-step explanation:
Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:
We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.
The ordered pairs (x, y) are as follows:
{(7, 3), (8, 1), (9, 1), (10, 2)}
I need the answer pls I will mark brainlist just answer this
Answer:
The first one is B and the second is C :)
Answer:
C. 12 and A.5
Step-by-step explanation:
The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to
6-1 = 5
What is the greatest common factor of the two terms
24x^6 and 18x^4
30x^3y^5 and 25x^2y
24x⁶ and 18x⁴ —> 6x⁴
30x³y⁵ and 25 x²y —> 5x²y
what is your when x = 60?
Answer:
300
Step-by-step explanation:
Find the y value when x = 60
Looking at the graph when x=60, y= 300
II. Write whether each number is an EXPRESSION or an EQUATION.
11.
2 + 5
12.
2 + 5 = 7
Ć XLN13.
4x = 12
14.
X + 25
15.
16-6 = 10
Answer:
11. Expression
12. Equation
13. Equation
14. Expression
15. Equation
Step-by-step explanation:
Expression:
Has no equal sign.
Equation:
Has equal sign.
11. 2 + 5
14. X + 25
Those which do not have the equal sign are expressions.
12. 2 + 5 = 7
13. 4x = 12
15. 16 - 6 = 10
Those with the equal sign are equations.
Please answer :D pretty simple for math experts I’m just bad
Answer: 74 inches
Step-by-step explanation:
Since we are given the equation of the regression line for the son's height y to be:
y = 0.5x + 38
where,
x = father's height = 72 inches
Then, we put the value of x into the equation and this will be:
y = 0.5x + 38
y = 0.5(72) + 38
y = 36 + 38
y = 74 inches
Therefore, the son is 74 inches.
chipo set out from a on a bearing of 130 to town b ,she then boardef a bus from town b another town c on a bearing of 030 directly east of a. calculate the bearing of town a from her new position
Answer:
emm who exactly is chipo bcause i literally have no idea
PLEASEEEE HELP MEEEEEEE
Answer:
The answer is A.
Step-by-step explanation:
If you count how many blocks it takes on the y axis, you will get 7 but note that it is reflected so it is -7. If you count how many blocks it takes on the x axis you get -3. So the answer is (-3,-7).
the perimeter of a square is 75 cm what is the length of one side of the square
Answer:
length of one side = 18.75cm
Step-by-step explanation:
Perimeter of a square = 4 x side
75 = 4 x side
[tex]side = \frac{75}{4} = 18.75cm[/tex]
Find the circumference of a circle with a radius of 6 cm.
Hi besties i need. help ASAP please and. ty
Answer:
37.7
Step-by-step explanation:
Circumference = [tex]2\pi r[/tex]
Circumference = [tex](2)(\pi )(6)[/tex]
Circumference = 37.69911184 / 37.7
Therefore, circumference of the circle with the radius 6 cm is 37.7.
Answer:
37.7
Step-by-step explanation:
formula for circumference of a circle=2πr
2×π×6=37.7cm
plz help me it is do at 10:45
Answer:2+6+2+1+3+2+1+1+3+0+4+2=27
27 divided by 12=2.25
I need to know where to put the lines
Answer:
put them on the points
Step-by-step explanation:
at what rate will £420 yield
£70 in 4 years
Answer:
4.17%
Step-by-step explanation:
Rate = interest earned / (principal x time)
70 / (4 x 420) = = 0.0417 = 4.17%
Mary is preparing for her college entrance exams. In a practice test, she answered 15 problems in 45 minutes. At this rate, how many problems is she expected to answer in 180 minutes?
(Proportional Reasoning)....
I really need an answer, and it would be great if you answer
Answer:
I'm guessing 60
Step-by-step explanation:
84% sure tho
3X+2Y=5Y+2X-11 How do i show my work for this?
Answer:
3x + 2y = 5y + 2x -11
-3x -3x
2y = 5y -x -11
-5y -5y
-3y = - x - 11 (divide by -3)
y = - x - 11/3
Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week. Part A Drag numbers to complete the table to show the number of miles each girl has walked after each week. Numbers may be used once, more than once, or not at all. 5638907848426658 Name Start Week 1 Week 2 Week 3 Week 4 Week 5 Trish 68 88 Aria 30 54 Part B After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks
Answer:
4 weeks
Step-by-step explanation:C. 5 weeks 90+48 138
88+40 138
Step-by-step explanation:
s
What is the y-intercept of this line?
y = 4x + 5
b = [?].
Enter
I am stumped on these!