Answer:
0.8586 = 85.86% probability that she does not have all the red ones.
Step-by-step explanation:
The marbles are grabbed without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
Bag has 4 + 4 + 3 + 1 = 12 marbles, which means that [tex]N = 12[/tex]
She grabs eight of them, which means that [tex]n = 8[/tex]
Four are red, which means that [tex]k = 4[/tex]
Probability that she does not have all the red ones.
This is
[tex]P(X < 4) = 1 - P(X = 4)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,12,8,4) = \frac{C_{4,4}*C_{8,0}}{C_{12,8}} = 0.1414[/tex]
Then
[tex]P(X < 4) = 1 - P(X = 4) = 1 - 0.1414 = 0.8586[/tex]
0.8586 = 85.86% probability that she does not have all the red ones.
Which statement correctly compares the shapes of the distribution?
the answer to your question is c
In the graph above, which vertical line (v) and horizontal line (H) can be used to graph point C
Answer:
V: x= -3
H: y= -3
Step-by-step explanation:
a city council consists of 7 democrats and 7 republicans. if a committee of 4 people is selected, find the probability of selecting 2 democrats and 2 republicans
Answer:
The probability of selecting 2 Democrats and 2 Republicans is 29.36%.
Step-by-step explanation:
Given that a city council consists of 7 democrats and 7 republicans, to determine, if a committee of 4 people is selected, the probability of selecting 2 Democrats and 2 Republicans must be performed the following calculation:
7/14 x 6/13 x 7/12 x 6/11 = X
0.5 x 0.46 x 0.58 x 0.54 = X
0.0734 = X
0.0734 x 100 = 7.34 x 4 = 29.36
Therefore, the probability of selecting 2 Democrats and 2 Republicans is 29.36%.
The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints.
Use only decimal form, if necessary. Frozen Yogurt 9 COR Servings 3 2 1 Pints 3 31 5 6 18 9 The equation is y =
Answer:
Please rephrase the question.
Step-by-step explanation:
can anyone help me with dis
Answer:
Slope is 2.
Step-by-step explanation:
So to find slope, we need to take the change in the y value, and the change in the x value, and then divide them. This may be confusing, so here is just 3 formulas in 3 seperate steps that we use to find it:
Step 1 - [tex]x_2-x_1=change_.in_.x[/tex]
Step 2 - [tex]y_2-y_1=Change_.in_.y[/tex]
Step 3 - [tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]
So lets start by doing step one.
All we need is to look for two x values. Lets use 5 and 6:
6-5=1
So 1 is our change of x. This is our 1st step.
Next we can use 2 y values, note that these should be the 2 y values that go wiht the x values above. So this means we have to use -3 and -1:
-1-(-3) = 2
So 2 is our change in y. This is our 2nd step.
Now lets plug this into:
[tex]\frac{Change_. in_. y}{Change_.in_.x}=slope[/tex]:
[tex]\frac{2}{1} = 2[/tex]
So our slope is 2. Completing our 3rd and final step.
Hope this helps!
Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin to
create AA'B'C'. What are the coordinates of the vertices of AA'B'C'?
Which measure of central tendency would be most effected if 50 was added to the following data set? 10, 14, 15, 15, 18, 20
select one
A. Interquartile Range
B. Mean
C. Median
A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below.
Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50
Required:
At the 1% level of significance, is there evidence of an association between seed density and lawn quality?
Answer:
There is no significant evidence to support the claim that an association between seed density and lawn quality exists.
Step-by-step explanation:
Given the data :
Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50
Using technology to obtain the correlation Coefficient between seed density and lawn quality, the Coefficient, R = 0.6
H0 : ρ = 0
H1 : ρ ≠ 0
We can then calculate the test statistic :
Test statistic = r / √(1 - r²) / (n - 2)
Test statistic = 0.6 / √(1 - 0.6²) / (8 - 2)
Test statistic = 0.6 / 0.3265986
Test statistic = 1.837
Pvalue from test statistic : = 0.11583
α = 0.01
Pvalue > α ;
We fail to reject the null
What is the equation for a line that has an x-intercept of 2 and a y-intercept of -6?
Answer:
An x-intercept of 2 implies
(
2
,
0
)
is a point on the line
A y-intercept of 4 implies
(
0
,
4
)
is a point on a line
The slope of the line joining
(
2
,
0
)
and
(
0
,
4
)
is
#(Delta y)/(Delta x) = (4-0)/(0-2) = -2
Using the slope-intercept form of the equation
y
=
m
x
+
b
where
m
is the slope and
b
is the y-intercept
we have
y
=
−
2
x
+
4
4. Select all the ways that describe the
graph of the function in interval 2.
ty
(2)
(1)
(3)
The function is increasing.
The slope is negative.
The function is decreasing.
The function is constant.
The slope is positive.
Answer:
all
Step-by-step explanation:
have the awnserbbbnnnnnnnnnnnn
what is the equation of the line that has an x-intercept of x=2.5 and y-intercept of y=1.5?
Answer:
y = -3/5x + 3/2
Step-by-step explanation:
begin with the slope-intercept form of a line which is: y = mx + b
'm' is the slope and 'b' is the y-intercept
the y-intercept is given but we need to find the slope
we can do so by using the points created by the x-and-y intercepts:
(0, 3/2) and (5/2, 0)
3/2 ÷ -5/2 = -3/5 (slope)
y = -3/5x + 3/2
A landscape engineer is designing a triangular area.
He wants to place potted trees in the two largest corners. In which corners will he place the two potted trees?
Answer:
25.3
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
The question is in the picture.
Answer:
I’m pretty sure it’d be 17 because 15 is the lower extreme.
Step-by-step explanation:
I just learned this. 17 would be the Q1, 20 would be Q2, and 23 would be Q3. I hope this helped you out :)
which digit have the same place value and face value in 6782 1904
4 and 0 has the same place value and face value.
Hope this is helpful :)
Answer:
0 and 4 are the digit which have same place and face value.
Find the slope of the line and sketch its graph y=3
Answer:
0
Step-by-step explanation:
The slope is 0 as there is no x variable within the equation.
recall y=mx+c where m is the slope. y=3 so we are only given the y intercept.
to graph this simply draw a horizontl line that crosses (0,3).
The table shows the relationship between Megan’s earnings and the hours that she worked.
What is the missing value in the table?
Earnings ($) 19 38 57 ? 95
Hours 2 4 6 8 10
A. 65
B. 66.5
C. 76
D. 85.5
Answer:
C.76
Step-by-step explanation:
2x= 19
x= 9.5
8x =?
8(9.5)= ?
76= ?
this is a 30-60-90 triangle. what is the measure of X? please explain
[tex]x = 10 \sin(60) \\ x = 10 \frac{ \sqrt{3} }{2} \\ x = 5 \sqrt{3} [/tex]
how many degrees in a triangle
Answer:
180 degrees are in a triangle.
5. A rectangular parking lot has the length (x + 7) and width of (x + 10). If the total area of the parking lot is
180 m, what are the dimensions of the parking lot?
length
width =
Answer:
length = 12
width = 15
Step-by-step explanation:
if you foil (x+7)(x+10) you get:
x²+17x-110 = 0
the factors are:
(x+22)(x-5) = 0
x = -22 and 5
we can dismiss the negative as irrelevant for a measure; therefore, x = 5
length = 5+7, or 12
width = 5+10, or 15
(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?
Answer:
The answer is (h).
Step-by-step explanation:
When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.
The function becomes
y = 2^(x+4) -2.
Finally, you shift -2 to the same side as y.
This becomes
y+2 = 2^(x+4) which is (h)
The coefficients in the expansion of (x + y) are
Answer:
1,6 ,15,20,15,6,1
Step-by-step explanation:
The trick here is that the expansion are the
numbers in pascal triangle
1
1,1
1,2,1
1,3,3,1
1,4,6,41,
1,5 ,10, 10, 5, 1
1,6 ,15,20,15,6,1
Answer:
1, 6, 15, 20,15, 6, 1,
Step-by-step explanation:
The Coefficients ; (x + y)^6
The coefficients can be obtained as follows :
6C0 ; 6C1 ; 6C2 ; 6C3 ; 6C4 ; 6C25 ; 6C26
nCr = n! ÷ (n-r)! r!
Using calculator to get the direct values :
We have :
1, 6, 15, 20,15, 6, 1,
Solve -4(4p+3)+2p=-54
Answer:
Step-by-step explanation:
-4(4p+3)+2p=-54
-16p-12+2p=-54
-14p=-54+12
p=-42/-14
p=3
type the correct answer in each box. spell all the words correctly, and use numerals instead of words for numbers. if necessary, use / for the fraction bar(s)
WHAT? What does this even mean?
The gas tank in Feliz's car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. Which equation represents the number of times Feliz can drive to or from work with the gas in his tank?
Answer:
5/6 divided by 1/12 (the last box)
Well thats the only box with the right answer and the equation used is how you get the right answer
The total cost c a roof technician charges to fix a sink in a house depends on the number h of hours it takes to assess the damages to the roof and repair the roof. This situation can be represented by the function rule 32h + 145. What is the total cost the roofer will charge if he works for 19.25 hours?
Answer:
I believe it is 761 is the cost the roofer will charge.
Step-by-step explanation:
First: Multiply 32 with 19.25 (standing for h), which equals to 616.
Second: Add 616 with 145, which adds up to 761.
Which expression will solve for the area of the shaded portion, in square inches?
Answer:
I might be wrong but It's C
108-4
Step-by-step explanation:
I wrote on a sheet of paper and checked over my response to your question.
What is the weight of a 43.11-carat diamond in grams and ounces?
the radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?
Answer:
Distance = 660 meters
Step-by-step explanation:
Given the following data;
Radius, r = 21 m
Number of revolutions = 5 times
To find the distance covered;
The distance covered in one revolution is given by the circumference of a circle.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Substituting into the formula, we have;
C = 2 * 22/7 * 21
C = 44 * 3
C = 132 meters
Next, we find the distance covered;
Distance = Circumference * Number of revolutions
Distance = 132 * 5
Distance = 660 meters
Boxers in the nineteenth century used their bare fists. In modern boxing,
fighters wear padded gloves. How do gloves protect the brain of the boxer from
injury?
Answer:
boxers get injured but it is good to have some security on your fist and for those who do do boxing it's nice to have some security
Maria earns 13 dollars each hour working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Maria earns in an hour if she sells B books.
Write an equation relating A to B. Then graph your equation using the axes below.
Answer:
a = 13 + b
Step-by-step explanation: