This question is incomplete, the complete question is;
Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen.
a) What is E[G] or range of G
b) Give the distribution over the random variable G
Answer:
a) E[G] is [ 0, 1 , 2 ]
b)
the distribution over the random variable G.
x P(x)
0 0.0667
1 0.4667
2 0.4667
Step-by-step explanation:
Given the data in the question;
Number to be chosen is 2
from 7 girls and 3 boys
a) range of G
number of girls can be; [ 0, 1 , 2 ]
Therefore, E[G] is [ 0, 1 , 2 ]
b) he distribution over the random variable G.
Distribution of the random variable G is Hypergeometric;
so
with P( G=g ) = P( getting g girls from 7 and 2-g boys from 3)
= (([tex]^7C_g[/tex]) × ([tex]^3C_{2-g[/tex])) / [tex]^{10}C_2[/tex]
now since, the range of G is [ 0, 1 , 2 ]
P( G=0 ) = (([tex]^7C_0[/tex]) × ([tex]^3C_{2[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(0!(7-0)!)) × (3!/(2!(3-2)!))] / (10!/(2!(10-2)!))
= [1 × 3] / 45 = 3/45 = 0.0667
P( G=1 ) = (([tex]^7C_1[/tex]) × ([tex]^3C_{1[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(1!(7-1)!)) × (3!/(1!(3-1)!))] / (10!/(2!(10-2)!))
= [ 7 × 3 ] / 45 = 21/45 = 0.4667
P( G=2 ) = (([tex]^7C_2[/tex]) × ([tex]^3C_{0[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(2!(7-2)!)) × (3!/(0!(3-0)!))] / (10!/(2!(10-2)!))
= [ 21 × 1 ] / 45 = 21/45 = 0.4667
Therefore, the distribution over the random variable G.
x P(x)
0 0.0667
1 0.4667
2 0.4667
Which set of three angles could represent the interior angles of a triangle?
Answer:
the first option
Step-by-step explanation:
it's the only one tht adds to 180
Answer:
49°, 59° and 72°
Step-by-step explanation:
Interior angles are supposed to add up to 180°
49+59+72=180° (correct set)
34+45+11= 90° (not correct set)
24+51+15= 90° (not correct set)
45+70+85 = 200° (not correct set)
hence the correct set is 49°, 59° and 72°
Plz!!!! need help algebra!!!
give a good answer... and you get brainlst!!
Answer:
What's the question?
Step-by-step explanation:
The following estimated regression equation based on 30 observations was presented. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 The values of SST and SSR are 1,803 and 1,756, respectively.
(a) Compute R2. (Round your answer to three decimal places.) R2 =
(b) Compute Ra2. (Round your answer to three decimal places.) Ra2 =
(c) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
Answer:
a) = 0.9739
b) = 0.969
c) option A is correct
Step-by-step explanation:
Given that:
sample size n = 30
SST = 1803
SSR = 1756
[tex]R^2 = \dfrac{SSR}{SST} \\ \\ R ^2 = \dfrac{1756}{1803} \\ \\ \mathbf{R^2 =0.9739}[/tex]
The adjusted [tex]R_a^2[/tex] is computed as:
[tex]R_a^2 = 1 - (\dfrac{n-1}{n-p})(1-R^2)[/tex]
where;
[tex]p = k+1 \\ p= 4+1 = 5[/tex]
[tex]R_a^2 = 1 - (\dfrac{30-1}{30-5})(1-0.9739)[/tex]
[tex]R_a^2 = 1 - (\dfrac{29}{25})(0.0261)[/tex]
[tex]R_a^2 = 1 - (1.16)(0.0261)[/tex]
[tex]R_a^2 = 1 -0.030276[/tex]
[tex]\mathbf{R_a^2 \simeq 0.969}[/tex]
the skin can help protect a person from pathogens true or false
Answer:
I think its false
Solve for X (15x-23)
Answer:
15 ^2 − 2 3
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the red graph? fx=42 . g(x) =
Answer:
Step-by-step explanation:
g(x) = -x²
Answer:
g(x) = -x²Step-by-step explanation:
We can see that:
f(x) = g(x) + 4, in other words, f(x) is translation of g(x) 4 units upThe the equation of g(x) is:
g(x) = f(x) - 4g(x) = 4 - x² - 4 g(x) = -x²What kind of graph would be best to show the results of a group of students who were asked about their favorite kind of pizza. Explain your answer in complete sentences.
Answer:
A graph that would be best for a group of students trying to figure out there favorite pizza is a pie graph.
Step-by-step explanation:
HELP ME ASAP STANK STANK
Answer:
the area of the rectangle is twice the area of the triangle
Step-by-step explanation:
the triangle can fit in the rectangle exactly 2 times.
find the value of
x!!!!!!!!!!
Answer:
x = 16
Step-by-step explanation:
7x - 12 + 5x = 180
12x = 192
x = 16
Answer:
x = 16
Step-by-step explanation:
180 = (7x-12) + 5x
192 = 12x
16 = x
Put this numbers from least to greatest.
A: 3.2, 0.67, 9, 1.78
B: 1/2, 1/4, 6, 3/4, 7/8
please please please please help me please please please please please please please please please please.
Answer: A: 0.67, 1.78, 3.2, 9
B: 1/4, 1/2, 3/4, 7/8, 6
Step-by-step explanation:
3.50 rounded to the nearest whole ounce
Answer:
4
Step-by-step explanation:
Look at the tenths place to round.
4 and below, round down.
5 and above, round up.
In this case, it’s 5 so round up.
3.50 -> 4
Which value for x makes the sentence true?
10x - 5 = - 55
A. - 50
B. - 6
C. - 10
D. - 5
Answer:
D. -5
Step-by-step explanation:
Just solve:
10x - 5 = -55
10x = -50
x = -5
Answer is D.
Julio is a junior ranger at the Rocky Mountain National Forest. It is his job to inform a group of middle school student visitors about ways to prevent forest fires. Which statements would Julio most likely review with the group? Check all that apply. build campfires away from trees dispose of leftover food in campfires light campfires when it is dry and hot start campfires with an adult present ensure campfires are permitted before lighting them
Answer:
A, D, E
Step-by-step explanation:
Sorry for being late
To prevent forest fire, Julio should take the measures stated in, A, D, and E.
What is Forest Fire?Forest fire can be defined as an uncontrolled or unplanned destructive fire that spreads over a forest or woodland.
To prevent forest fire from occuring during the visit of the students, the following measures, among others, should be taken:
Campfires should not be built close to trees.Adult should be present when campfires are started.Campfires should only be started if permitted.Thus, to prevent forest fire, Julio should take the measures stated in, A, D, and E.
Learn more about forest fire on:
https://brainly.com/question/3630812
what is another ratio that is equivalant to 5:3 and 10:6?
Answer:
5:3 = 10:6
10:6 = 20:12 or 5:3
Which expressions are equivalent to 6x−18 ?
Answer:
x + 5x - 18, 3(2x - 6), 2(3x - 9).
Step-by-step explanation:
x + 5x - 18
6x - 18
x + x + x - 10 - 8
3x - 10 - 8
3x - 18
3(2x - 6)
6x - 18
2(3x - 9)
6x - 18
6(x - 18)
6x - 108
The expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Solve all the given options,
Option A,
x + 5x - 18
6x - 18
Option, B
x + x + x - 10 - 8
3x - 10 - 8
3x - 18
Option, C
3(2x - 6)
6x - 18
Option,D
2(3x - 9)
6x - 18
Option,E
6(x - 18)
6x - 108
Therefore, the expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.
To know more about an expression follow
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Darnell's Burgers cooks its burgers either well done or medium. Last night the restaurant served 15 burgers in all, 6 of which were well done. What percentage of the burgers were well done? ANSWER ASAP!
Answer:
40%
Step-by-step explanation:
6/15 as a percent is 40/100 or 40%
Hope this helps! :)
Answer:
.9%
Step-by-step explanation:
so you take a calculator and input 15 and then you subtract 6 and then you hit the % button and your answer is .9% there you go!!! oh and Darnell is been on guy's groceries games and he used to be in pearl wit his business
Find ? (inscribed angle)
9514 1404 393
Answer:
90°
Step-by-step explanation:
The inscribed angle is half the measure of the arc it subtends. A semicircle is an arc of 180°. Half that is 90°.
? = 90°
18x + 3y = 33 What is the y intercept form of this equation?
Answer: look at the picture
Step-by-step explanation: Hope this help:D
Answer: y=-6x+11
Step-by-step explanation:
A computer is on sale for 80% of the original price. If the computer originally cost $400, what is its sale price?
Answer:
$320
Step-by-step explanation:
400*0.8(decimal form of 80%) = 320
Answer:$80
Step-by-step explanation:
$400x0.80=$320 off
400-320=$80
Or
$400 x 0.20= $80 sale price
What percentage of the shape is blue?
Write your answer using a percent sign (%).
Answer:43%
Step-by-step explanation:
An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are shown below. y = x + 12 y = −x + 17 Which of the following statements is a correct step to find x and y? (4 points) Question 1 options: 1) Multiply the equations to eliminate y. 2) Write the points where the graphs of the equations intersect the x-axis. 3) Write the points where the graphs of the equations intersect the y-axis. 4) Add the equations to eliminate x.
Answer:
4) add the equations to eliminate x
Step-by-step explanation:
After adding the equations then you can use the value you found for y to substitute back into one of the equations in order to find x
PLS HELP: A box is 9 inches wide, 3 inches long, and 12 inches high. It is completely filled with blocks that are each 1 cubie inch in volume. If 20 blocks were taken out of the box, how many blocks would remain in the box?
Answer: 304
Step-by-step explanation: first you multiply 9, 3, and 12 which equals 324. Then you subtract 20 from 324 and you get 304.
The legs of a right triangle are 24 in and 9 in. What is the length of the hypotenuse? Round to the nearest tenth.
Answer:
25.6
Step-by-step explanation:
24^2 + 9^2=h^2
576+81=h^2
657=h^2
25.6=h
-2
—
10 simplify
How do you simplify-2 over 10?
Answer:
Step-by-step explanation:
Answer:
Divide through by 2
which will give -1 over 5
cuanto es 45+45+45+45+45+45+45+45.
Answer:
360
Step-by-step explanation:
45 x 8
Answer:
360
Step-by-step explanation:
45+45+45+45+45+45+45+45 = 45 x 8 = 362
If x2 = 60, what is the value of x?
Answer:
x² = 60
x = √60
x = 7.745
Step-by-step explanation:
•°•°•°•°•°
Answer:
2[tex]\sqrt{15}[/tex]
Step-by-step explanation:
x = [tex]\sqrt{60}[/tex] = [tex]\sqrt{4}[/tex] · = 2[tex]\sqrt{15}[/tex]
A dance floor is in the shape of a rectangle. It is 27 meters long and 16 meters wide. What is its peremeter?
Answer:
perimeter of a rectangle = 2(l+b)
length = 27 m
breadth = 16 m
perimeter = 2( 27+16 )
= 2 * 43
∴ perimeter = 86 m
hope this answer helps you.....
Answer:
86
Step-by-step explanation:
P= 2*W + 2*L
Therefore you get 86
What is 9 1/2 plus 12 11/20
Answer:
[tex]22\frac{1}{20}[/tex]
Step-by-step explanation:
mark me Brainllest
Answer:
Exact Form: 441/20
Decimal Form: 22.05
Mixed Number Form: 22 1/20
The radius of a circle is 2.9 in. Find the circumference to the nearest tenth.
Answer:
[tex] \bf \large 20 \: inches [/tex]
Step-by-step explanation:
Given that :The radius of a circle is 2.9 in.to find :Find the circumference to the nearest tenth.formulas used :circumference = 2 × π × rwhere,
π = 22/7r = 2•9 inches explanation :⟼ c = 2πr
⟼ c = 2 × 22/7 × 2•9 inches
⟼ c = 2 × 3•14 × 2•9 inches
⟼ c = 6•28 × 2•9 inches
⟼ c = 18•21 inches.
Round to the nearest tenth :⟼ c = 18•21 inches
⟼ c = 20 inches
∴ circle circumference is 20 inches .
What does the fox say?
Answer:
Joff-tchoff-tchoffo-tchoffo-tchoff!
Tchoff-tchoff-tchoffo-tchoffo-tchoff!
Joff-tchoff-tchoffo-tchoffo-tchoff!
Step-by-step explanation:
Answer:
"Joff-tchoff-tchoffo-tchoffo-tchoff!
Tchoff-tchoff-tchoffo-tchoffo-tchoff!
Joff-tchoff-tchoffo-tchoffo-tchoff!"