Answer:
HOPE IT HELP YOU....
if it is right plz comment me .
A 12-member jury is to be selected from 15 men and 13 women. Find the probability that this jury has 6 or 7 males.
Answer:
The right solution is "0.5545".
Step-by-step explanation:
According to the question,
The probability of having 6 or 7 males will be:
= [tex]P(6 \ males)+ P(7 \ males)[/tex]
= [tex]\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}[/tex]
= [tex]\frac{5005\times 1716+6435\times 1287}{30421755}[/tex]
= [tex]\frac{16870425}{30421755}[/tex]
= [tex]0.5545[/tex]
Match the number with its opposite -5.4
What is the explicit formula for the geometric sequence with this recursive formula
Answer:
Hello,
Answer A
Step-by-step explanation:
[tex]a_1=-6\\\\a_2=a_1*(\dfrac{1}{4} )^1\\\\a_3=a_2*(\dfrac{1}{4} )^1=a_1*(\dfrac{1}{4} )^2\\\\\\\\a_n=a_1*(\dfrac{1}{4} )^{n-1}\\\\Answer\ A\\[/tex]
To the nearest tenth of a second, the ball is in the air for s.
Answer:
2.4
Step-by-step explanation:
Took the assignment
Answer:
2.4 seconds is the correct answer.
Step-by-step explanation:
Just completed it.
Triangle ABC is shown below with line DE passing through the center:
Triangle ABC is shown with line DE running horizontally through the center of the figure.
If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will (6 points)
be parallel to the original line
shift three units to the right
be perpendicular to the original line
pass through points D and E
Answer:
D'E' be parallel to the original line
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
Line [tex]DE[/tex]
[tex]k = 3[/tex] -- scale factor
Required
The relationship between [tex]DE[/tex] and [tex]D'E'[/tex]
When [tex]\triangle ABC[/tex] is dilated by a scale factor of 3, [tex]\triangle A'B'C'[/tex] will be three times as big as [tex]\triangle ABC[/tex].
Also:
Line [tex]D'E'[/tex] will be three times as long as [tex]DE[/tex]
Since no further transformation is done on [tex]\triangle ABC[/tex] and line [tex]DE[/tex], then [tex]D'E'[/tex] will be parallel to [tex]DE[/tex]
Pls help me with this problem
[tex]3x - 8 = 4x - 17 \\ \\ \sf \longmapsto \: 3x + 4x = - 17 + 8 \\ \\ \sf \longmapsto \: 7x = - 9 \\ \\ \sf \longmapsto \: x = \frac{ - 9}{7} [/tex]
Which of the following answer choices correctly expresses the number 64?
A. 4'6
B. 4'5
C. 4'4
D. 4'3
Answer:
4’3
Step-by-step explanation:
Took test
Answer:
4’3
Step-by-step explanation:
what is -10/19÷-5/7 but not converted into a decimal please!
Answer:
14/19
Step-by-step explanation:
Dividing fractions is the same as multiplying by the reciprocal:
-10/19 ÷ -5/7
-10/19 x -7/5
Multiply the numerators by each other, as well as the denominators:
70/95
Simplify by dividing both the numerator and denominator by 5:
= 14/19
So, the answer is 14/19
Go Long Telephone Company charges a flat rate of $18.75 per month plus $0.18 per minute. To Call Telephone Company charges a flat rate of$12.51 per month plus $0.42 per minute. How many minutes would a customer need to use in order for the bill from Go Long and Via Call to be equal at the end of the month?
9514 1404 393
Answer:
26 minutes
Step-by-step explanation:
Let x represent the number of minutes used. The charges will be equal when ...
18.75 +0.18x = 12.51 +0.42x
6.24 = 0.24x . . . . . . . . . . . . . . . subtract 0.18x+12.51
26 = x . . . . . . . . . . . . . . . divide by 0.24
A customer using 26 minutes will receive the same bill from either company.
Independent Practice
x
0
1
2
3
4
y
2
1.5
1
0.5
0
Which kind of function best models the data in the table? Write an equation to model the data.
A.
linear; y= 1 2 x+2
B.
quadratic; y=− x 2
C.
quadratic; y=− 1 2 x 2
D.
linear; y=− 1 2 x+2
Answer:
D. linear; y = - 1/2x + 2
Step-by-step explanation:
As the values of x increase by 1, the values of y decrease by 0.5. This means that we have a negative linear relationship of 1/2. In other words, the slope is -1/2. Our y-intercept is 2 since when x = 0, y = 2. So, D is the correct choice.
Find range
of
f(x) =
[tex]1 \div ( |x| - x)[/tex]
Step-by-step explanation:
We need to find thr range if
[tex] \frac{1}{ (|x| - x)} [/tex]
The absoulte value of something is positive.
So
[tex] \frac{1}{x - x} = \frac{1}{0} [/tex]
This function isn't possible so no range exist.
Rewrite the series as a sum (show all work)
Answer:
1144
Step-by-step explanation:
100 + 98 + 96 +.... + 78+76 =
(12-0)/2 (176)
(6.5) (176) = 1144
The sum of the series will be 1068.
We have the following expression -
[tex]\sum_{i=0}^{12} 100 - 2i[/tex]
We have to rewrite the series as the sum.
What do you mean by Series ?A series in mathematics is the sum of a list of numbers that are generated according to some pattern.
We have the following expression -
[tex]\sum_{i=0}^{12} 100 - 2i[/tex]
The terms of this series can be calculated by calculating the value of the function at different values of i.
The series is as follows -
100 + 98 + 96 +.... + 78+76
This is an arithmetic progression with a = 100 and d = - 2 and n = 12. The sum of this series is -
[tex]S = \frac{n}{2} \times {2a + (n-1)d}[/tex]
S = [tex]\frac{12}{2} [{2 \times 100 + (12 -1)(-2)] = 6[200+ 11 \times -2] = 6[200 -22][/tex]
S = 6 x 178 = 1068
The sum of the series will be 1068.
To solve more questions on Series, visit the link below-
https://brainly.com/question/27740516
#SPJ5
What is the area of the obtuse triangle below?
11
13
A. 12 sq. units
7
B. 71.5 sq. units
C. 24.5 sq. units
D. 143 sq. units
Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.
y = -2/3x + 7
Complete the table based on the given domain.
Answer:
hope it helps plz mark me brainliest!
Step-by-step explanation:
4x² - 3, x less than/equal to 0
Step-by-step explanation:
y = (-1/2)[(x+3)^½]
(x+3)^½ = -2y
Square both sides,
(x+3) = (-2y)²
x+3 = 4y²
x = 4y²-3
Interswitch x and y
Inverse is 4x²-3
Domain of inverse is the range of f.
The range of f is less than/equal to 0
Because at x = -3, f(x) = 0
For x > -3, f(x) is negative
Domain of inverse is x less than/equal to 0
Which expression gives the surface area of a sphere with radius 3x?
Answer:
=> 12πr²
Step-by-step explanation:
The Surface area of sphere is 4πr²
so the surface area of sphere with radius 3x will be
=> 4×3πr²
=> 12πr²
Point T is the centroid. Find TE if XE =21
Answer:
7
Step-by-step explanation:
Thing about centroids is they create segments that are spilt with one piece [tex]\frac{1}{3}[/tex] and the larger piece [tex]\frac{2}{3}[/tex] .
So, if the whole segment is 21, then the large piece is [tex]\frac{2}{3}[/tex] of 21. The small piece is [tex]\frac{1}{3}[/tex] of 21.
TE = 21 · [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{3}[/tex] = 7
can anyone answer this please
Answer:
4
Step-by-step explanation:
x=3
x2 means 3 square (+3)
3×3+3
=9+3
12÷3
4
A photographer needs a frame for an 5 x 7 inch picture, such that the total area is 80 in? Calculate the width of
the frame. Which of the following quadratic equations would be used when solving this?
4x^2 + 24x = 45
4x^2 + 12x = 45
2x^2 + 24 = 45
2x^2 + 12x = 45
Answer:
4·x² + 24·x = 45
Step-by-step explanation:
The total area of the frame and picture needed by the photographer = 80 in²
The size of the picture that will be in the frame = 5 × 7 inch
The length of the picture = 7 inches
The width of the picture = 5 inches
Let x represent the width of the frame, we get;
The width of the total area = The width of the picture + 2 × The width of the frame
Therefore, the width of the total area = 5 + 2·x
The length of the total area = The length of the picture + 2 × The width of the frame
Therefore, the length of the total area = 7 + 2·x
We get;
The total area = Total length × Total width
∴ The total area = (5 + 2·x) × (7 + 2·x)
We are given that the total area = 80, therefore, by transitive property of equality, we have;
(5 + 2·x) × (7 + 2·x) = 80
35 + 10·x + 14·x + 4·x² = 80
4·x² + 24·x = 80 - 35 = 45
∴ 4·x² + 24·x = 45
Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.
Answer:
The answer is 4x^2+24x=45
Step-by-step explanation:
I got it right on my test.
Use the ordered pairs to give a function rule. Give the rule in slope intercept form {(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)}
Answer:
[tex]y = -0.25x -1.5[/tex]
Step-by-step explanation:
Given
[tex](x,y) = \{(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)\}[/tex]
Required
The function rule (in slope intercept)
First, we calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{-1.25 -1.5}{-1 - -12}[/tex]
[tex]m = \frac{-2.75}{11}[/tex]
[tex]m = -\frac{2.75}{11}[/tex]
[tex]m = -0.25[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -0.25(x - -12) + 1.5[/tex]
[tex]y = -0.25(x +12) + 1.5[/tex]
Open bracket
[tex]y = -0.25x -3 + 1.5[/tex]
[tex]y = -0.25x -1.5[/tex]
Givenl || m | n, find the value of x.
m
44°
n
Submit Answer
PLS HELP
Answer:
x=136
Step-by-step explanation:
Make y the subject of this formulae X=a-2by^2
Answer:
[tex]y = \sqrt{\frac{x- a}{2b}}[/tex]
Step-by-step explanation:
Step 1: Make y the subject of this formula
[tex]x- a = a - a - 2by^{2}[/tex]
[tex]\frac{x- a}{2b} = \frac{2by^{2}}{2b}[/tex]
[tex]\sqrt{\frac{x- a}{2b}} = \sqrt{y^{2}}[/tex]
[tex]\sqrt{\frac{x- a}{2b}} = y[/tex]
Answer: [tex]y = \sqrt{\frac{x- a}{2b}}[/tex]
Show all work when answering the question for full credit. Do it as best as you can.
Solve the equation: 7(2x + 3) = 12x - 13
Answer:
x = -17
Step-by-step explanation:
7(2x + 3) = 12x - 13
Distribute
7*2x +7*3 = 12x-13
14x +21 = 12x-13
Subtract 12x from each side
14x-12x+21 = 12x-12x-13
2x+21 = -13
Subtract 21 from each side
2x+21-21 = -13-21
2x = -34
Divide by 2
2x/2 = -34/2
x = -17
What is the domain of the function y=sqrt x+6-7
Answer:
[tex]x \geqslant 1[/tex]
Step-by-step explanation:
[tex] \sqrt{x + 6 - 7} = \sqrt{x - 1} \\ \\ x - 1 \geqslant 0 \\ x \geqslant 1[/tex]
IF B=
3 4 8
4 2 1
find b12, b21, b22 and b23
Answer:
since b is 348421 and we are looking for b21 it is 348421(12)
find the cost of four score of plate at 50k each and three dozens of spoon at 20k each
Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel’s savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin’s account, at the same time, is modeled by function k.
j(x) = 25 + 3x
k(x) = 15 + 2x
Which function correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year?
A.
(j − k)(x) = 40 + 5x
B.
(j − k)(x) = 40 + x
C.
(j − k)(x) = 10 + 5x
D.
(j − k)(x) = 10 + x
Given:
The amount of money in Joel’s account is:
[tex]j(x)=25+3x[/tex]
The amount of money in Kevin’s account is:
[tex]k(x)=15+2x[/tex]
To find:
The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.
Solution:
We need to find the difference between the function j(x) and function k(x).
[tex]j(x)-k(x)=(25+3x)-(15+2x)[/tex]
[tex](j-k)(x)=25+3x-15-2x[/tex]
[tex](j-k)(x)=(25-15)+(3x-2x)[/tex]
[tex](j-k)(x)=10+x[/tex]
Therefore, the correct option is D.
Gloria forgot to account for two walkways. Using the work from Plan A,
subtract the two walkways to find the new perimeter. The width of each
walkways is x + ½ .
Show work here (put in simplest form)
Step-by-step explanation:
w
A farmer needs to cross the river with his fox, his chicken and a bag of corn. However, the boat can only fit the farmer and one other thing at a time. The problem is, the fox and the chicken are both hungry, so if he leaves the fox and chicken together, the fox might eat the chicken. If he leaves the chicken and corn together, the chicken might eat the corn. So how can the farmer get everyone across the river safely
first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!
Algebra 1 proportional relationships
Answer:
It always pass through the origin.(0,0)
what is the quotient in simpilst form? 4 1/2 ÷ 1 1/4
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]
In fraction division, Use KCF method
K - Keep the first fraction
C - Change the ÷ operation to * operation
F - Flip the second fraction
[tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]
