Answer:
$7.89
Step-by-step explanation:
There are 36 possible outcomes when rolling two dice.
The sum will be odd if the first die is odd and the second is even or if the second is odd and the first is even. The probability of an odd sum is:
[tex]P(odd)=\frac{3}{6} *\frac{3}{6} +\frac{3}{6} *\frac{3}{6}\\P(odd)=0.5[/tex]
There is a probability of 1 in 2 of winning $10.
There are 8 ways to get a sum of 4 or 8 (1,3; 3,1; 2,2; 5,3; 3,5; 2,6; 6,2; 4,4). There is a probability of 8 in 36 or 2 in 9 of winning $5.
There are 2 ways to get a sum of 2 or 12 (1,1; 6,6). There is a probability of 2 in 36 or 1 in 18 of winning $50.
Any other outcome will not payout any amount.
The expected value is the sum of all possible payouts multiplied by their likelihood (including a 100% chance of paying $1 to play).
[tex]E=-1+10*\frac{1}{2} +5*\frac{2}{9}+50*\frac{1}{18}\\E=\$7.89[/tex]
The expected value is $7.89.
PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?
Answer:
Approximately 9.90 units.
Step-by-step explanation:
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.
Plug in the numbers:
[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]
[tex]d=\sqrt{7^2+7^2}[/tex]
[tex]d=\sqrt{2(7)^2}[/tex]
[tex]d=7\sqrt{2}[/tex]
) We throw 9 identical balls into 7 bins. How many different ways are there to distribute these 9 balls among the 7 bins such that no bin is empty? Assume the bins are distinguishable (e.g., numbered 1 through 7).
Answer:
28 ways
Step-by-step explanation:
After placing 1 ball in each of the seven bins, there are two balls left.
If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).
If we place each of the remaining balls in a different bin, the number of ways to place the balls is:
[tex]n_2=\frac{7!}{(7-2)!2!}=7*3=21[/tex]
The total number of ways to distribute those balls is 21 + 7 = 28 ways.
4.8x10^-3 as an ordinary number
Answer:
0.008.
Step-by-step explanation:
10^-3 basically tells you to move the decimal point to the left by three digits.
Right now, you have 8. If the decimal point were to move left by three digits, you can visualize 8 as 0008. Move left by three digits, and you get 0.008.
Hope this kind of helps!
Answer:
0.008.
hope this helps :)
In the diagram, the measure of angle 6 is 98°. what is the measure of angle 7?
Answer:
7∠82°
Step-by-step explanation:
Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.
So we do 180 - 98 which is 82°.
Answer: The measure of angle 7 is 82 degrees.
Step-by-step explanation:
Angle 6 and 7 lies on a straight line so they will add up to 180 degrees.
So if Angle 6 is 98 degrees then an a number plus 98 has to equal 180.
so we could generate an equation as x + 98 = 180
x + 98 = 180 solve for x
-98 -98
x= 82
Solve for x 5 x + 2 = 7 x − 4 plz help me
Answer:
3
Step-by-step explanation:
5 x + 2 = 7 x − 4
7x-5x= 2+4
2x= 6
x= 3
Answer:
The value of x in this equation is 3.
Step-by-step explanation:
5x + 2 = 7x - 4
Subtract 7x from both sides of the equation.
-2x + 2 = -4
Subtract 2 from both sides of the equation.
-2x = -6
Divide by -2 on both sides of the equation.
x = 3
the length of a rectangle is twice its width, the perimeter of it is 36cm. what is the are of it
Answer: 72 cm²
Step-by-step explanation: lets take the width as x and length as 2x as length is twice the width= perimeter of rectangle is 2*(l+b)=36cm
So, 2×(2x+x)=36cm
2×3x=36cm
6x=36cm
X=36/6:6cm( width, since width was taken as x)
Length= 2x: 2×6=12cm
So area of the rectangle is( l*b):
12×6= 72cm²
Which table represents a linear function
Answer:
The first photo
Step-by-step explanation:
Its a i think
15 POINTS!!!!! suppose f(x)=x find the graph of f(x+2) please include what the graph would look like
Answer:
The graph f(x+2) would make the graph go left by 2 units.
Step-by-step explanation:
Using graph transformations, adding two would make the graph go left 2 and subtracting would make it go right 2
Here were 87 sunflowers at the flower shop in the morning. There were 56 sunflowers left at the end of the day. How many sunflowers were sold? Explain a way to solve the problem.
Answer:
31
Step-by-step explanation:
We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.
Answer:
31
Step-by-step explanation:
Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).
how do you calculate a length of a triangle
Answer:
Perimeter-width=Length
Hope this helps :)
Answer:
Area- A= b (base) times h (height) divided by 2
Perimeter- P= a+b+c
Step-by-step explanation:
someone help me asap please/math 10
Answer:
Step-by-step explanation:
4. a) tan x=17/12=1.416
x=54.8≈55
b)sin b=78/132=0.59
b=36.2≈36
cos 28=x/82
x=82*cos 28=82*0.9=73.8
What is the period of the function y= 3/2 cot(3/5x) +5?
A. Pi/5 units
B. 3pi/5 units
C. 2pi/3
D. 5pi/3
Answer:
D; 5pi/3 units
Step-by-step explanation:
Here, we want to find the period of the function;
y = 3/2 cot (3/5x) + 5
By definition, the period of a function is the interval between two matching points in the function.
Let’s say it is the distance between two peaks, crests, etc on a function.
To find the value of the period. We shall standardize the function.
What this means is that we shall be writing the function in the standard form.
The standard form is as follows;
f(x) = A trig(Bx -C) + D
Where trig refers to the accompanying trigonometric function in question.
Comparing this standard form with our question, we can see that;
A is 3/2
B is 3/5
C is 0
D is 5
Now for cot and tan functions, we shall need to divide pi by the absolute value of B
Thus we have; pi divided by 3/5 which gives 5pi/3 units
Answer:
D. 5pi/3, period is the distance between the repetition of a function.
Step-by-step explanation:
Can some one help me
Answer:
Step-by-step explanation:
divide 4 and 2 then add 2 and 1
Answer:
y = - 4x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (2, 9)
m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 1) , then
1 = - 16 + c ⇒ c = 1 + 16 = 17
y = - 4x + 17 ← equation of line
A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
A)g + a = 24. g + 2 a = 42.
B)g + a = 24. 2 g + a = 42.
C)g + a = 42. g + 2 a = 24.
D)g + a = 42. 2 g + a = 24.
Answer:
B
Step-by-step explanation:
The soccer player has g goals and a assists.
For every goal, he/she gets 2 points and for every assist, he/she earns 1 point. This means that if we multiply g by 2, we get the number of points the player receives from g goals and if we multiply a by 1, we get the number of points the player receives from a assists.
And, that total number of points is equal to 42, so we can write:
2 * g + 1 * a = 42
2g + a = 42
Now, we understand that g and a are the number of goals and assists the player has made, and we also know that the total number of such kicks is 24, so we can write:
g + a = 24
Thus, our system is:
g + a = 24
2g + a = 42
The answer is B.
~ an aesthetics lover
Answer:
The correct answer is B. g + a = 24. 2 g + a = 42
A herd of bison currently has 55 members. Based on the available resources,
biologists estimate that the size of the herd will increase at a rate of 6% per
year. Which of the following graphs models this relationship, if the x-axis
represents years and the y-axis represents number of bison?
The equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have:
A herd of bison currently has 55 members, and biologists estimate that the size of the herd will increase at a rate of 6% per year.
We can model this relationship:
[tex]\rm y = 55(1+0.06)^x\\\\\rm y = 55(1.06)^x[/tex]
Thus, the equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ2
11. Three men can build a wall in 10 hours. How
many men would be needed to build the wall in
7 hours?
Answer:
Man-hours to build the wall: 3 * 10 = 30
:
let m = no. of men required to do it 7.5 hrs
7.5m = 30
m = [tex]\frac{30}{7.5}[/tex]
m = 4 men to build it in 7.5 hrs
Step-by-step explanation:
-3.42, 10.26, -30.78, 92.34, ___,... what is the next number
Answer:
-277.02
Step-by-step explanation:
Given series:
-3.42, 10.26, -30.78, 92.34,...We can see the series is a GP with common ratio of -3, as:
10.26/-3.42= -30.78/10.26= 92.34/-30.78= -3So the next term will be:
92.34 × (-3)= -277.02A page in an average newspaper has 8 columns of print. Each column consists of 160 lines and each line averages 6 words. What's the average number of words on a full page?
Answer:
7,680
Step-by-step explanation:
A page has 8 columnsEach column consists of 160 lines.Each line averages 6 words.The average number of words on a full page
=Number of columns X Number of Lines X Number of words per line
=8 X 160 X 6
=7680
The average number of words on a full page is 7,680.
I really need help with this question, it's confusing. It's geometry btw
Answer:
Two regular nonagons and nine congruent rectangle
Step-by-step explanation:
Two regular nonegon=on the surface and base..
Nine congruent rectangle=look at beside it will be look like 9 rectangle.. I hope it will be right.
A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?
Answer:
2.38 Kg were eaten
Step-by-step explanation:
first we should divide 34 by 100
the result will be 0.34
then we multiply 0.34 x 7 Kg = 2.38 Kg
HELP
Find the volume of the sphere in terms of Pi
Answer:
Hey there!
The volume of a sphere is 4/3pir^3
If d=5, then r=2.5,
Thus, we have 4/3(15.625)pi
20.83pi
The first choice is correct.
Hope this helps :)
Answer: num 1
Step-by-step explanation:
4/3*pi*r^3
4/3*pi*15.625
20.83*pi
hope i halped
can i get brainliest?(im trying to level up)
pls
-Zylynn
I NEED HELP PLEASE, THANKS! :)
Answer: tan(14x)
Step-by-step explanation:
Consider the Sum Formula for tan:
[tex]tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}[/tex]
Answer:
[tex]\tan(4x)[/tex]
Step-by-Step Explanation:
Notice that this resembles the difference identity for tangent. Specifically:
[tex]\displaystyle \tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1+\tan(\alpha)\tan(\beta)}[/tex]
So, given our equation, we can pretend that α=9x and β=5x. Therefore:
[tex]\displaystyle \frac{\tan(9x)-\tan(5x)}{1+\tan(9x)\tan(5x)}=\tan(9x-5x)=\tan(4x)[/tex]
A map has a scale of 1 cm to 3.2 km. The real-life distance between two towns is 64 km. What is the distance between the two towns on the map?
Answer:
20 cm
Step-by-step explanation:
64/3.2 km = 20cm
simplify the expression (x - 2y) + (3x + 4y)
Simplifying the expression (x - 2y) + (3x + 4y).
Work:
(x - 2y) + (3x + 4y)
Combine like terms.
x + 3x = 4x
-2y + 4y = 2y
Reform the expression.
4x + 2y
Simplified Expression: 4x + 2y.
Classify the following triangle. Check all that apply.
Answer:
Isosceles, obtuse triangle
Step-by-step explanation:
The triangle is isosceles since there are equal acute-angles which therefore prove two equal sides.
The triangle is obtuse because it consists of one obtuse angle which is 98 and is greater than 90 degrees.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
help help meeeee pls
a line has a gradient of 4 and passes through the post (1,7). what is the equation?
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (1, 7) into the partial equation
7 = 4 + c ⇒ c = 7 - 4 = 3
y = 4x + 3 ← equation of line
Answer:
The equation is y = 4x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x + b
Substitute the x and y value into the equation
7 = 4(1)+b
7 = 4+b
Subtract 4
7-4 =b
3=b
The equation is y = 4x+3
cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest
Answer:
-1/8
Step-by-step explanation:
(-1/2)(-1/2)(-1/2)=-1/8
Answer:
[tex] \frac{ - 1}{8} [/tex]solution,
[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]
hope this helps...
Good luck on your assignment
NEED MATH HELP NOW. Need help find the vertex and y intercept. Please show work.
Answer:
Vertex: ( 1 , 9 )
Y-intercept: ( 0 , 8 )
Step-by-step explanation:
y = - (x+2) (x-4)
y = -x² + 2x + 8
Find the vertex.
x = -b/2a
x = -2/2(-1)
x = -2/-2
x = 1
y = -(1)² + 2(1) + 8
y = -1 + 2 + 8
y = 9
Find the y-intercept.
Put x as 0.
y = -(0)² + 2(0) + 8
y = 8
Find the value of b. Round your answer to the nearest tenth.
The figure shows acute triangle A B C. The measure of angle B is 40 degrees. The length of side A B is 10. The length of side B C is 12. The length of side C A is b.
Answer:
Side CA = 7.8
Step-by-step explanation:
Given:
Acute angled [tex]\triangle ABC[/tex].
[tex]\angle B =40^\circ[/tex]
AB = 10
BC = 12
We can use cosine rule here to find the side AC = b
Formula for cosine rule:
[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Where
a is the side opposite to [tex]\angle A[/tex]
b is the side opposite to [tex]\angle B[/tex]
c is the side opposite to [tex]\angle C[/tex]
[tex]cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76[/tex]
To the nearest tenth b = 7.8