10 POINTS + BRAINLIEST ANSWER!!
The table below shows the number of U.S. residents with health insurance in 2015, in thousands, categorized by age group and annual income. According to these results, if a U.S. resident with health insurance who was 35-64 in 2015 is selected at random, what is the approximate probability that this resident had an income between $50,000 and $79,999?
A. 0.20
B. 0.25
C. 0.40
D. 0.80
Answers
The approximate probability is 0.40 .
What is random selection?Random selection refers to how the sample is drawn from the population as a whole, while random assignment refers to how the participants are then assigned to either the experimental or control groups.
What is probability?Probability measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
According to the question
The table below shows the number of U.S. residents with health insurance in 2015, in thousands, categorized by age group and annual income.
Now,
if a U.S. resident with health insurance who was 35-64 in 2015 is selected at random,
The probability that this resident had an income between $50,000 and $74,999
As
By using formula of probability
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
where
Total outcomes = Total resident had an income between $50,000 and $74,999 = 56,908
Number of favorable outcomes = U.S. resident with health insurance who was 35-64 in 2015 and income between $50,000 and $74,999
= 7,185 + 14,978
= 22,163
Now,
Putting value in formula
Probability of an event P(E) = (Number of favorable outcomes) ÷ (Total outcomes ).
Probability of an event P(E) = [tex]\frac{22163}{56908}[/tex]
= 0.389
= 0.40 (approx.)
Hence, the approximate probability is 0.40 .
To know more about Random selection and probability here:
https://brainly.com/question/22544647
#SPJ2
Related Questions
point j has coordinate (-2,8) and point r has coordinates (-7,-3. find the coordinate of point A that partition line segment JR in the ratio of 5:2
Answers
[tex]\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ j(-2,8)\qquad r(-7,-3)\qquad \qquad \stackrel{\textit{ratio from \underline{j} to \underline{r}}}{5:2} \\\\\\ \cfrac{j\underline{A}}{\underline{A} r} = \cfrac{5}{2}\implies \cfrac{j}{r} = \cfrac{5}{2}\implies 2j=5r\implies 2(-2,8)=5(-7,-3)\\\\ -------------------------------[/tex]
[tex]\bf A=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\ -------------------------------\\\\ A=\left(\cfrac{(2\cdot -2)+(5\cdot -7)}{5+2}\quad ,\quad \cfrac{(2\cdot 8)+(5\cdot -3)}{5+2}\right) \\\\\\ A=\left(\cfrac{-4-35}{7}~~,~~\cfrac{16-15}{7} \right)\implies A=\left( -\cfrac{39}{7}~~,~~\cfrac{1}{7} \right) \\\\\\ A=\left( -5\frac{4}{7}~~,~~\cfrac{1}{7} \right)[/tex]
hElP!
A carpenter designs two cabinets: one in the shape of an oblique rectangular prism and one in the shape of a right rectangular prism. The volume of each cabinet is 4,608 cubic inches. The oblique rectangular prism is 48 inches tall and has an edge length of 64 inches. The right rectangular prism has a height of 48 inches. Which statements about the cabinets are true? CHECK ALL THAT APPLY
a. The cabinets have the same base area.
b.The base area of the oblique prism is smaller than the base area of the right prism.
c.The cabinets may have the same base dimensions.
(MORE DOWN BELOW),
Answers
Answer:
A- The cabinets have the same base area.
C- The cabinets may have the same base dimensions.
D- The cabinets may have different base dimensions
Step-by-step explanation:
Answer:
A. C. D.
Step-by-step explanation:
A yoga membership costs $16 and an additional $7 per class. Write a linear equation modeling the cost of a yoga membership.
y = 16x + 7
y = 7x + 16
y = 23x + 7
y = 23x + 16,
Answers
the sum of two number is 10. the difference between the numbers is 4. what are the two numbers.
Answers
You buy boxes of strawberries at the market. Each box costs $ 6 Write an equation for the number of dollars, d, you spend on b boxes.
Answers
Answer:
Step-by-step explanation:
You pay \blueD{\$6}$6start color blueD, dollar sign, 6, end color blueD for each box of strawberries. The number of dollars you spend depends on \goldD bbstart color goldD, b, end color goldD, the number of boxes of strawberries you buy.
To find the number of dollars you spend on strawberrries, we can use the equation \maroonD d=\blueD6\goldD bd=6bstart color maroonD, d, end color maroonD, equals, start color blueD, 6, end color blueD, start color goldD, b, end color goldD.
A warranty identification number for a certain product consists of a letter of the alphabet followed by four-digit number. How many possible identification numbers are there if the first digit of the four-digit number must be nonzero?,
Answers
Please help me. I'm confused. Consider the following geometric sequence. -5, 10, -20, 40,... If the recursive formula for the sequence above is expressed in the form a^n=b*^n-1, determine the value of B. B= (choices are 2, -2, 5, -5)
Answers
Answer:
-2
Step-by-step explanation:
What is the slope of the line that contains the points (4,-1) and (-1,4)?
Answers
proof:
slope formula: Y2-Y1/X2-X1=Slope (M)
4,-1 will be our x1,y1 and -1,4 will be our x2,y2
plug in numbers into formula: 4-(-1)/ -1-4
simplify you get 5/-5
simplify again and your answer is -1!!!
If its wrong im sorry
Answer:
-1
Step-by-step explanation:
what are the answers to all of these questions?
Answers
N 11)
a) graph the equation y=x²-3x-10
using a graph tool
see the attached figure
b) Determine the roots of the equations
the roots of the equations are the values for y=0
x²-3x-10=0
x²-3x-10=(x+2)*(x-5)=0
the roots are
x1=-2
x2=5
see the attached figure problem 11
N 12) what is the value of x in the equation?
3x²=7x
3x²=7x-------> 3x²-7x=0--------> x*(3x-7)=0
x1=0
3x-7=0------> 3x=7------> x=7/3
the values of x are
x1=0
x2=7/3---> 2.33
see the attached figure problem 12
N 13) what is the value of x in the equation?
x²-5x=6----------> x²-5x-6=0
x²-5x-6=0-------> (x+1)*(x-6)=0
the values of x are
x1=-1
x2=6
N 14) what is the value of x in the equation?
2x²-5x=12--------> 2x²-5x-12=0
using a graph tool
see the attached figure problem N 14
2x²-5x-12=0----------> (x+3/2)*(x-4)=0
the values of x are
x1=-3/2
x2=4
The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x2, which of the following could be the equation of G(x)?
A. G(x) = 4x2
B. G(x) = -1/4x2
C. G(x) = -4x2
D. G(x) = 1/4x2
Answers
In other words if y = ax^2 then a must be greater than 1
If it is flipped over the x axis then the answer is C.
Answer:
The correct option is C.
Step-by-step explanation:
The given function is
[tex]F(x)=x^2[/tex]
The transformation of the function is defined as
[tex]G(x)=kF(x)[/tex]
If k>1, then the graph of function F(x) stretched vertically and If 0<k<1, then the graph of function F(x) compressed vertically.
It is given that the graph of F(x) can be stretched vertically, it means the value of k must be greater than 1.
The graph of F(x) is flipped over the x-axis, so the function G(x) is equal to the negative of k times of F(x).
[tex]G(x)=-kF(x)[/tex]
Where must be greater than 1.
In option 3, G(x) is equal to the negative of 4 times of F(x). Only in this option, there is negative relation between F(x) and g(x) with k>1.
[tex]G(x)=-4F(x)[/tex]
Therefore the correct option is C.
Set operations including cardinality of power sets and listing the elements of a power set and finding the number of subsets of a given size. let u = {-1, 0, 1, 2, 3, 4, 6} , a = {-1, 1, 2, 3, 4} and b = {0, 2, 4, 6}. find
a.a u b,
b.a ∩ b,
c.b – a,
d.the power set of b and its cardinality
Answers
a [tex]\cup[/tex] b means the resulting set when a and b are merged, less duplicates.
a [tex]\cup[/tex] b={-1, 1, 2, 3, 4} [tex]\cup[/tex] {0, 2, 4, 6}
={-1,0,1,2,3,4,6}
b. a [tex]\cap[/tex] b
a [tex]\cap[/tex] b means the set of members which are common to both a and b.
a [tex]\cap[/tex] b={-1, 1, 2, 3, 4} [tex]\cap[/tex] {0, 2, 4, 6}
={2,4}
c. b-a
b-a is the set of members present in b but not in a.
{0, 2, 4, 6}-{-1, 1, 2, 3, 4}
={0,6}
d. Power set of b, its cardinality
Power set is the set of all possible combinations of elements.
There are 2^n members in the power set of x where n is the number of elements in the set x.
For example, power set of S={1,2} is {[tex]\phi[/tex],{1},{2},{1,2}}
The cardinality of S above is the number of elements in the set, therefore 2^2=4.
For b={0,2,4,6}
The power set is
{[tex]\phi[/tex],{0},{2},{4},{6},{0,2},{0,4},{0,6},{2,4},{2,6},{4,6},{0,2,4},{0,2,6},{0,4,6},{2,4,6},{0,2,4,6}}
for a total of 2^4=16 members in the power set.
Therefore the cardinality of the power set is 16.
The union of A and B is {-1, 0, 1, 2, 3, 4, 6}, the intersection is {2, 4}, and the difference B - A is {0, 6}. The power set of B contains 16 subsets.
Set Operations: Union, Intersection, Difference, and Power Sets
Let's solve the given problems step by step:
a. The union of sets A and B (A ∪ B)
A ∪ B represents all unique elements that are in either set A or set B.
Given: A = {-1, 1, 2, 3, 4} and B = {0, 2, 4, 6}
A ∪ B = {-1, 0, 1, 2, 3, 4, 6}
b. The intersection of sets A and B (A ∩ B)
A ∩ B represents all elements that are present in both sets A and B.
A ∩ B = {2, 4}
c. The difference of sets B and A (B - A)
B - A represents all elements that are in set B but not in set A.
B - A = {0, 6}
d. The power set of B and its cardinality
The power set of a set is the set of all its subsets, including the empty set and the set itself. If a set has n elements, its power set will contain 2^n subsets.
B = {0, 2, 4, 6}
The power set of B is: { {}, {0}, {2}, {4}, {6}, {0, 2}, {0, 4}, {0, 6}, {2, 4}, {2, 6}, {4, 6}, {0, 2, 4}, {0, 2, 6}, {0, 4, 6}, {2, 4, 6}, {0, 2, 4, 6} }
The cardinality of the power set of B is 2^4 = 16.
In summary:
A ∪ B = {-1, 0, 1, 2, 3, 4, 6}
A ∩ B = {2, 4}
B - A = {0, 6}
The power set of B has 16 elements.
What is the measure of ∠ABD?
27°
54°
114°
124°
Answers
we know that
An exterior angle is equal to the sum of the two non adjacent angles
so
In this problem
[tex](4n+6)\°=2n\°+60\°[/tex]
Solve for n
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex](4n-2n)\°=(60-6)\°[/tex]
Combine like terms
[tex]2n\°=54\°[/tex]
[tex]n=27\°[/tex]
Find the measure of angle ABD
∠ABD=[tex](4n+6)\°[/tex]
Substitute the value of n
∠ABD=[tex](4*27+6)\°=114\°[/tex]
therefore
the answer is the option
[tex]114\°[/tex]
Answer:
the answer is 114
Step-by-step explanation:
hope i helped all of you guys and girls
PLEASE HELP ME ON THIS
THANK U
PLZ SHOW UR WORK
Answers
50,000 records
2013
50,000 × 1.1
55,000 records
2014
55,000 × 1.1
60,500 records
2015
60,500 × 1.1
66,550 records
2016
66,550 × 1.1
73,205 records
Use the quadratic formula to determine the exact solutions to the equation. 6x2+4x−3=0
Answers
The correct answer is [tex]x = \frac{-4 + 2\sqrt{22}}{12}$ and $x = \frac{-4 - 2\sqrt{22}}{12}[/tex]
To find the exact solutions to the equation [tex]6x^2 + 4x - 3 = 0[/tex]using the quadratic formula, we can follow these steps:
Given quadratic equation: [tex]6x^2 + 4x - 3 = 0[/tex]
[tex]a = 6, b = 4, c = -3[/tex]
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-4 \pm \sqrt{4^2 - 4(6)(-3)}}{2(6)}[/tex]
[tex]x = \frac{-4 \pm \sqrt{16 + 72}}{12}[/tex]
[tex]x = \frac{-4 \pm \sqrt{88}}{12}[/tex]
[tex]x = \frac{-4 \pm \sqrt{4 \cdot 22}}{12}[/tex]
[tex]x = \frac{-4 \pm 2\sqrt{22}}{12}[/tex]
Solution 1: [tex]x = \frac{-4 + 2\sqrt{22}}{12}[/tex]
Solution 2: [tex]x = \frac{-4 - 2\sqrt{22}}{12}[/tex]
Therefore, the two exact solutions to the equation [tex]6x^2 + 4x - 3 = 0[/tex] are:
[tex]x = \frac{-4 + 2\sqrt{22}}{12}$ and $x = \frac{-4 - 2\sqrt{22}}{12}[/tex]
In triangle XYZ, the length of side XY is 24 mm and the length of side YZ is 34 mm. Which of the following could be the length side XZ?
A. 8 mm
B. 63 mm
C. 42 mm
D. 60 mm
Answers
34 mm - 24 mm = 10 mm
The length of side XZ must be greater than 10 mm.
24 mm + 34 mm = 58 mm
The length of side XZ must be less than 58 mm.
The only choice between 10 mm and 58 mm is 42 mm.
fourteen less than three fourths of a number is negative eight
Answers
After solving it...
x = 8
Hope this helps
14+8 = 3/4x
22 = 3/4x
88 = 3x
88/3 = x
what is the area of a regular pentagon with an apothem of 25.1 and a perimeter of 182mm
Answers
perimeter = 182
one side = 182/5 = 36.4
area = (5 * 36.4 * 25.1) / 2
area = 2,284.1
Help see the picture
Answers
697 rounds to 700
89 rounds to 90
90 x 700 = 63000
hope i could help
Suppose the line of best fit is being found for some data points that have an r-value of 0.876. If the standard deviation of the x-coordinates is 5.559, and the standard deviation of the y-coordinates is 7.163, what is the slope of the line to three decimal places?
Answers
Answer: 1.129
Step-by-step explanation:
In statistics, the slope of the line is given by :-
[tex]b=r\dfrac{\sigma_y}{\sigma_x}[/tex],
[tex]\text{where r is correlation coefficient,}\\\sigma_y\text{ is standard deviation of the y-coordinates,}\\\sigma_x\text{ is standard deviation of the x-coordinates,}[/tex]
[tex]\text{Given: }r=0.876\\\sigma_x=5.559\\\sigma_y=7.163[/tex]
Now, the slope of the line will be :-
[tex]b=0.876\times\dfrac{7.163}{5.559}\\\\\Rightarrow\ b =1.12876200756\approx1.129[/tex]
Hence, the lope of the line to three decimal places =1.129
Help please asap
1. The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.
A. (5x + 7) and (-x - 2)
B. (5x + 7) and (x - 2)
C. (5x - 7) and (x - 2)
D. (5x - 7) and (x + 2)
2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring
A. 2x - 5 and 3x + 4
B. -2x - 5 and -3x + 4
C. 2x + 5 and 3x - 4
D. 2x - 5 and 3x - 4
Answers
1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.
Answer: 5x^2 -3x -14
Explanation:
You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.
I will show you how to factor that polynomial from zero:
1) given: 5x^2 - 3x - 14
2) multiply and divide by the leading coefficient =>
5 [5x^2 - 3x -14 ]
----------------------
5
3) Enter the the factor 5 inside the parenthesis:
5.5x^2 - 5.3x - 5.14
--------------------------
5
4) rearrange conviniently to show (5x) as a common factir of the first two terms
(5x)^2 - 3(5x) - 70
--------------------------
5
5) factor the numerator using 5x as common term of the two binomials:
(5x ) ( 5x ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7) <---> two numbers that add up - 3 and their product is - 70
=>
(5x - 10)(5x + 7)
---------------------
5
6) divide (5x - 10) by 5 => x - 2
7) factored expression
(x - 2) (5x + 7)
8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)
2. Question 2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring
Answer: option C. (2x + 5)(3x - 4)
Explanation:
The procedure is the same of the question 1.
1) given: 6x^2 + 7x - 20
2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>
(6x)^2 + 7(6x) - 120
--------------------------
6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:
(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)
=>
(6x + 15)(6x -8)
---------------------
6
(6x + 15)(6x - 8)
---------------------- =
3.2
(6x + 15) (6x - 8)
------------- . ------------ =
3 2
(2x + 5)(3x - 4)
4) answer: option C. (2x + 5)(3x - 4)
The possible dimensions for the rectangular carpet with an area represented by the trinomial 5x^2 - 3x - 14 are (5x + 7) and (x - 2). For the barnyard with area 6x^2 + 7x - 20, the dimensions are (2x - 5) and (3x + 4).
To find the possible dimensions of the rectangular carpet with area 5x^2 - 3x - 14, we need to factor the trinomial. Factoring the trinomial, it is evident that we need two numbers whose product is -70 (5 * -14) and whose sum is -3. Factoring the trinomial we get (5x + 7)(x - 2), so the possible dimensions of the carpet are (5x + 7) and (x - 2), which corresponds to option B.
Similarly, to determine the dimensions of a barnyard with area 6x^2 + 7x - 20, we again factor the trinomial. We are looking for two numbers that multiply to -120 (6 * -20) and add up to 7. Factoring yields (2x - 5)(3x + 4), so the possible dimensions of the barnyard are (2x - 5) and (3x + 4), which corresponds to option A.
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –(x – 6) and passes through the point (−2, −2)?
Answers
[tex]\sf y-y_1=m(x-x_1)[/tex]
Where 'm' is the slope and (x1, y1) is a point on the line.
Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.
[tex]\sf -1[/tex]
Reciprocal:
[tex]\sf -\dfrac{1}{1}\rightarrow -\dfrac{1}{1}\rightarrow -1[/tex]
Multiply by -1:
[tex]\sf 1[/tex]
We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\sf y-(-2)=1(x-(-2))[/tex]
Negatives cancel out:
[tex]\sf y+2=1(x+2)[/tex]
Distribute 1 into the parenthesis:
[tex]\sf y+2=x+2[/tex]
Subtract 2 to both sides:
[tex]\boxed{\sf y=x}[/tex]
At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this situation
Answers
It would be 2 + 1x. The y intercept is 2, and every unit, you would multiply those numbers together. For example, if the x axis is 6, then you would do 2 + 6 which is 8 on the y axis and etc.
Answer:
its D
Step-by-step explanation:
A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high. Approximately how much salsa did Kelly eat? Round your final answer to the nearest whole number.
188 cm³
565 cm³
679 cm³
1244 cm³
Answers
A 565 cm
Answer:
Ok the answer is 565 but I'm going to break it down for those who wanna know how
Step-by-step explanation:
So first let's just assume the jar is a cylinder which means to use the formula
[tex]V=\pi r^{2} h[/tex]
They saved you time of having to finf the Radius and such
firstly, we're gonna solve before she eats all that salsa lol
r = 6
h = 11
we're gonna substitute 3.14 for pi
of course you'll solve for it which you'll get
v = 1243.44
now you need to find the volume after she eats the salsa which the only difference is that the height will be 6 instead of 11
substitute
solve and you'll get
678.24
now that you have the volume of before and after she eats the salsa all you need to do is subtract to find the difference
1243.44 - 678.24
which you'll get
565!
Hope this helps!
You and your friend are standing back-to-back. Your friend runs 10 feet forward and then 8 feet right. At the same time, you run 11 feet forward and then 12 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?
Answers
PLEASE HELP ME QUICK
PLEASE EXPLAIN IT.....
BRAINLIEST IS GIVEN TO RIGHT ANSWER
THX
Answers
A globe in a brass stand has a diameter of 40 in . what is the volume of the globe to the nearest cubic inch?
Answers
2* 3.14* 20 = 125.6in cubed
Don't forget to put 2 above inches for volume.
--------------------------------------------------------------------
Formula: Volume of a sphere
--------------------------------------------------------------------
[tex]Volume \ of \ a \ sphere = \frac{4}{3} \pi r^3[/tex]
--------------------------------------------------------------------
Given Diameter, Find Radius
--------------------------------------------------------------------
Diameter = 40 in
Radius = 40 ÷ 2 = 20 in
--------------------------------------------------------------------
Apply Formula
--------------------------------------------------------------------
[tex]Volume \ of \ the \ sphere = \frac{4}{3} \pi (20)^3[/tex]
[tex]Volume \ of \ the \ sphere = 33510 in^3[/tex]
--------------------------------------------------------------------
Ans: Volume of the Globe is 33510 in³
--------------------------------------------------------------------
The table below represents the displacement of a bird from its nest as a function of time: time (hours) x displacement from nest (miles) y 0 12 1 20 2 28 3 36 4 44 part
a.what is the y-intercept of the function, and what does this tell you about the bird? part
b.calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. part
c.what would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest?
Answers
Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.
Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.
Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x
The domain will go up to 20 hours.
Place the indicated product in the proper location on the grid.
(5c +2/3 )(5c -2/3 )
Answers
25c^2-4/9
Explanation
In this question you are expected to expand (5c+2/3)(5c-2/3)
(5c+2/3)(5c-2/3)=(5c×5c)-(5c×2/3)+(5c×2/3)-(2/3×2/3)
=25c^2-10c/3+10c/3-4/9
25c^2-4/9
The expanded form of (5c+2/3)(5c-2/3) is 25c^2-4/9 and this is what the question requires of you to do.
Answer:
The product of the polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)=25c^2-\frac{4}{9}[/tex]
Step-by-step explanation:
given : The polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)[/tex]
We have to place the indicated product in the proper location o the grid.
Consider the given polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)[/tex]
Apply identity of difference of square
[tex]\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]
We have,
[tex]=\left(5c\right)^2-\left(\frac{2}{3}\right)^2[/tex]
Simplify, we have,
[tex]=25c^2-\frac{4}{9}[/tex]
Thus, The product of the polynomial [tex]\left(5c+\frac{2}{3}\right)\left(5c-\frac{2}{3}\right)=25c^2-\frac{4}{9}[/tex]
Location on gris shown below.
If a line crosses the y-axis at (0,8) and has a slope of -1/8,what is the equation of the line?
A.y= 1/8x+8
B.y=-1/8x-8
C.y=8x-8
D.y=-1/8x+8
Please help me!!!!!!
Answers
the slope is always connected to the x, and "b" is the y axis point of the two coordinate pairs, so it would be minus eight if the coordinate pairs were (0, -8).
[tex]y = mx + b[/tex]
m= slope
b= y axis point of the two coordinate pairs
Answer:
d
Step-by-step explanation:
A poker hand consist of 5 cards?
a.find the total number of possible five card poker card hands.
b.find the number of ways in which one can king can be selected? c)find the number of ways in which four aces can be selected .
d.find the number of ways of getting four aces and one king.
Answers
In poker probability calculations, there are 2,598,960 possible five-card hands, various specific hand combinations such as those containing a king or four aces have their own probability, which can be determined using the formulas for combinations.
Calculations for Poker Probabilities
The subject of probability in a poker hand involves various combinations and permutations. Here's how the calculations are made:
Total number of five-card poker hands: The total number is calculated using combinations, as the order in which cards are drawn does not matter. This is given by the combination formula C(n, r) = n! / (r!(n-r)!), where n is the total number of available cards (52), and r is the number of cards drawn (5). Thus, there are 52! / (5!(52-5)!)= 2,598,960 possible hands.
Number of ways one king can be selected: There are four kings in a deck, so there are C(52, 5) - C(48, 5) ways to choose a hand with at least one king, as you subtract the number of hands without any kings from the total number of hands.
Number of ways four aces can be selected: There is only one way to choose all four aces, and then there are 48 remaining cards to choose the fifth card from, which gives 48 combinations.
Number of ways of getting four aces and one king: There are four kings to choose from and one specific combination of aces, so there are 4 ways to have a hand with four aces and one king.