This question is incomplete, the complete question is;
You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.
[ Two decimal places ]
Answer:
The probability that you be selected is 0.83
Step-by-step explanation:
Given the data in the question;
total number of people in the panel = 12
number of people to be selected from the panel = 2
probability you wont be selected = ?
Number of ways of selecting 2 people from the 12 member panel is;
⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66
so total number of outcome = 66
Now, number of ways in favor of selecting you and another person from the 12 member panel is;
⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11
so favorable number of outcome = 11
∴ Probability of selecting you in the panel will be;
⇒ favorable number of outcome / total number of outcome
⇒ 11 / 66 = 1/6
Now, Probability of not selecting you in the panel will be;
⇒ 1 - Probability of selecting you in the panel
⇒ 1 - 1/6
⇒ 0.83
Therefore, The probability that you be selected is 0.83
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Answer:
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
Step-by-step explanation:
Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
This means that the null hypothesis is:
[tex]H_0: p = 0.11[/tex]
And the alternate hypothesis is:
[tex]H_a: p > 0.11[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.11 is tested at the null hypothesis:
This means that [tex]\mu = 0.11, \sigma = \sqrt{0.11*0.89}[/tex]
Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.
This means that:
[tex]n = 1550, X = \frac{214}{1550} = 0.1381[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}[/tex]
[tex]z = 3.54[/tex]
Pvalue of the test and decision:
This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.
[tex]z = 3.54[/tex] has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
PLEASE HELP !!!!!
An angle measures 52° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
64° and 116°
Step-by-step explanation:
2x + 52° = 180°
2x = 128°
x = 64°
What is the circumference in centimeters of the circle? Use 3.14 for 7. Enter your answer in the box
24 cm
cm
Answer:
75.36
Step-by-step explanation:
24 cm x 3.14 = 75.36
find values of x an y
4x+y 6x-y
Answer:
6xy+4x−y
Step-by-step explanation:
Put the verbs in brackets into
the to-infinitive or -ing form.
How do they differ in
meaning? Check in the
Grammar Reference section.
1
a Diane has stopped eating
(eat) in between meals.
(she no longer does it)
b The runner stopped to have
(have) a rest after training
for many hours. (stopped to
do sth and then continued
what he was doing)
2 a Aaron forgot
(take) his vitamins.
b Forget about
(go)
to the gym. I need you.
3 a Daniel remembers
(meet) his sports idol
when he was younger.
b Andy didn't remember
.... (buy) tickets
for the match.
4 a I will try
(think) more positively
from now on.
b Ellen tried .............. (diet)
and lost several kilos.
5 a She used
(play) volleyball when she
was in high school.
b He is used
(exercise) at the weekends.
.
Answer:
i hope u have a good day
Step-by-step explanation:
Sophie’s Clues:
Sophie made up some clues about the rectangles. She only thought of numbers between 1 through 30.
Rectangle #1 Clue:
Width = N. Length = 2 N
Draw a picture for a rectangle that fits the information. Label each dimension.
What is the value of N in this case? Why does it make sense?
Answer:
322223
Step-by-step explanation:
pls somebody help me i need help on this
dont get it
Answer:
its 8.1
Step-by-step explanation:
if 1 mile is 5.4 you would divide that by two and then add 5.4 +2.7 which equals your answer 8.1
XYZ is a straight angle decomposed
into 2 non-overlapping equal angles,
XYW anc Z WYZ. What kind of angle is
XYW?
9514 1404 393
Answer:
a right angle
Step-by-step explanation:
A "straight angle" measures 180°. When it is bisected, each half measures 180°/2 = 90°. A 90° angle is called a right angle.
Angle XYW is a right angle.
Answer:
always ;] BYE
Step-by-step explanation:
The diameter of a cylindrical water tank is 10 ft, and its height is 11 ft. What is the volume of the tank?
Answer:
the answer is 3455 cubic feet
Step-by-step explanation:
π x 100 x 11=3455
A rectangular flower garden in Samantha's backyard has 140 feet around its edge. The width of the
garden is 30 feet.
What is the length of the garden?
The length of the garden is
feet.
Answer:
40 feet
Step-by-step explanation:
140=2×(30+x) /:2
70=30+x /-30
40=x
Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.
If they put 20% down, how much will they borrow for their mortgage?
The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?
How much would be paid on interest over the life of the loan>
Answer:
YES SIR Answer is b
Step-by-step explanation:
I need help with my math assignment
Answer:
63
Step-by-step explanation:
×+15+102=180
×=180-102-15
×=64
Can someone help me pls
Answer: A=53.576 degrees
Step-by-step explanation:
Cos A= adjacent/hypt
Cos A= 19/32
Cos A= .59375
inverse of Cos A=.59375
A=53.576 degrees
Answer:
A = 53.58°
Step-by-step explanation:
cos A = 19/32
cos A = 0.5938
A = 53.58°
Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, how much is 5 pounds of gummy candy?
Answer:
$7.5
Step-by-step explanation:
Cost of 5 pounds of gummy
=$(4.5/3)(5)
=$7.5
Find the probability that a randomly selected point within the circle falls into the white area round to the nearest tenth of a percent
Answer:68%
Step-by-step explanation:
find area of the circle=50.2
Find the are of the triangle=16
Then find ratio=16/50.2
Then reduce=8/25.1=32%
Then subtract= 100-32=68%
Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196
Answer:
A
Step-by-step explanation:
(3x - 14)^2
9x^2 - 42x -42x +196
9x^2 - 84 +196 is the correct answer
What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)
Answer:
5009.206
Step-by-step explanation:
The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!
What is the length of the altitude of the equilateral triangle below?
Will give brainliest if correct.
The length of the altitude of the equilateral triangle below is E) 6√3.
The answer is E) 6√3.
The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.
In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.
The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.
Therefore, the length of the altitude of the equilateral triangle is 6√3.
To learn more about altitude here:
https://brainly.com/question/28685698
#SPJ2
You started a dog walking business. You spent $45 in start up costs and charge $12 per hour of
dog walking. How many hours must you walk before you have a minimum of $117?
Answer:
7
Step-by-step explanation:
The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients used to produce these chips available for his next production run: 4800 ounces of salt, 9600 ounces of flour, and 2000 ounces of herbs. A bag of lime chips requires 2 ounces of salt, 6 ounces of flour, and 1 ounce of herbs to produce; while a bag of vinegar chips requires 3 ounces of salt, 8 ounces of flour, and 2 ounces of herbs. Profits for a bag of lime chips are $0.40, and for a bag of vinegar chips $0.50.
Is there a question to answer?
Can you help me answer this question???????
Answer:
3^12
Step-by-step explanation:
A manufacturer of band saws wants to estimate the average repair cost per month for the saws he has sold to certain industries. He cannot obtain a repair cost for each saw, but he can obtain the total amount spent for saw repairs and the number of saws owned by each industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The manufacturer selects a simple random sample of n = 20 from the N = 96 industries he services. The data on total cost of repairs per industry and number of saws per industry are as given in the accompanying table. Estimate the average repair cost per saw for the past month and place a bound on the error of estimation.
Industry No.of saws Total repair cost for past month
1 3 50
2 7 110
3 11 230
4 9 140
5 2 60
6 12 280
7 14 240
8 3 45
9 5 60
10 9 230
11 8 140
12 6 130
13 3 70
14 2 50
15 1 10
16 4 60
17 12 280
18 6 150
19 5 110
20 8 120
Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10
what is the slope of a line with one point at (6,3) and another point at (8,2)
HELP please please please please please
Hello!
This is just a conceptual problem where you'll be converting units.
If her semitrailer is 3.5m high and the bottom of the bridge (how tall the support beam are) is 11ft 9in high, we'll need to convert them into the same units and then compare both values.
Let's convert from inches to meters.
Since there are 12 inches in a feet, we can convert 11 feet into 132 inches, meaning that the bottom of the bridge is at 141 inches.
In 1 meter, there is around 39.37 inches, so we'll be dividing 141 by 39.37, giving us a number of around 3.5814, meaning that the bottom of the bridge is higher than the height of the semitrailer, and her vehicle will fit under the bridge.
Hope this helps!
The diagram shows three touching circles.
A is the centre of a circle of radius x centimeters.
B and C are the centers of circles of radius 3.8 centimeters. Angle ABC = 70.
Find the value of x
Answer:
x = 7.31 cm
Step-by-step explanation:
cos 70° = 3.8/AB
0.3420 = 3.8/AB
AB = 11.11 cm
x = 11.11 - 3.8 = 7.31 cm
The value of x which is the radius of circle A is 7.31 cm
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
AB = AC, hence ∠B = ∠C = 70°
∠A + ∠B + ∠C = 180° (angles in a triangle)
∠A + 70 + 70 = 180
∠A = 40°
BC = 3.8 + 3.8 = 7.6
Using sine rule:
BC/sinA = AB / sinB
7.6/sin(40) = AB/sin(70)
AB = 11.11 cm
x = 11.11 - 3.8 = 7.31 cm
The value of x which is the radius of circle A is 7.31 cm
Find out more on equation at: https://brainly.com/question/2972832
What is the y-intercept of the given function?
f(x) = -(x+2)^3(x-4)
Answer:
Step-by-step explanation:
The y-intercept is the value of the function when x=0.
f(0) = -(0+2)³(0-4) = -(2³)(-4) = 32
Can anyone help me plz?
Answer:
[tex] y = \frac{1}{4}x + 1 [/tex]
Step-by-step explanation:
Line is passing through the points (0, 1) & (4, 2)
Slope of line = (2 - 1)/(4 - 0) = 1/4
y-intercept (b) = 1
Equation of line in slope-intercept form is given as:
[tex]y = mx + b \\ \\ y = \frac{1}{4}x + 1 [/tex]
Answer:
[tex]y = \frac{1}{4}x + 1[/tex]
Step-by-step explanation:
Slope intercept form allows one to write an equation for a line from only the y-intercept and the slope, so we need to identify those two things.
The slope is simply [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]=>[tex]\frac{2-1}{4-0}[/tex]=> 1/4
The slope intercept is the y value when x = 0, and since we have the point (0,1), the y-intercept must be 1
The equation is: y = mx + b where m is the slope and b is the intercept so the final equation is:
[tex]y = \frac{1}{4}x + 1[/tex]
help me please I will mark 5 stars please it is urgent
Answer:
a) 3sec
b) highest point of 50
c) at 0 by 8 sec
What is the area of the regular trapezoid below?
64 cn2,80cm2,240cm2,480cm2
The area of each triangular face is 30 square feet true or false
Answer:
Step-by-step explanation:
true it is true true true