Answer:
0
I hope this is the correct answer
Answer: Slope = 0, y-intercept = 3
Step-by-step explanation:
The inequality is a horizontal line, where everything below 3 is agrees with the inequality
The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It costs a player £1.40 for a turn.A player can win £6 or £3 as in the diagrams:If 216 people are to play, how much profit can Ayo expect to make?
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The expected value is given by the sum of each outcome multiplied by it's respective probability.
In this problem:
The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is [tex]\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}[/tex].The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is [tex]\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}[/tex]In the other cases, Ayo wins £1.40, with [tex]1 - \frac{18}{72} = \frac{54}{72}[/tex] probability.Hence, his expected profit for a single game is:
[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]
For 216 games, the expected value is:
[tex]E = 216(0.2583) = 55.8[/tex]
Ayo can be expected to make a profit of £55.8.
To learn more about expected value, you can take a look at https://brainly.com/question/24855677
Solve for X. Please help ASAP.
Answer:
x = 36.87
Step-by-step explanation:
Find the length of the missing side.
x^2 + 12^2 = 15^2
x^2 + 144 = 225
x^2 = 81
x = 9
Now use the law of sines:
sin(90)/15 = sin(x)/9
Multiply each side by 9
9 * sin(90)/15 = sin(x)
0.6 = sinx
sin^-1 = 36.86989 rounded to 36.87
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?
Answer:
$132.74
Step-by-step explanation:
6.75% = 0.0675
Multiply 124.35 by 1.0675 because sales tax is added to original cost.
(124.35)(1.0675) = 132.74
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?The percentage is the value per hundredth.
According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.
∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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round 0.006772 to 1 significant figure
Answer:
0.007
Step-by-step explanation:
0's before other numbers are non-significant. Then you just round your number.
Hope that helps
If measure of angle 3 = 74° find each measure NEED HELP ASAP
Please help me solve this
Answer:
i think 2²m² is answer. you are correct, my sweetie !
Answer:
c)
[tex] {2}^{2} {m}^{2} [/tex]
Step-by-step explanation:
2 × 2 =4 it can also be written as 2^2( 2 squared) which also equals 4
same with m
Convert the equation g(x) = −(x − 7)2 +5 into standard form.
Answer:
7
Step-by-step explanation:
You have to add 2 and 5, the rest is stuff to distract you
7. What is the slope of the line that goes through (0,0) and (5, -1)7
1/2
-1/2
2
-2
Answer:
-1/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-0)/(5-0)
m=-1/5
Use the quadratic formula to solve for x.
9x^2-3x=1
Round the answer to the nearest hundredth
Last question.
Matthew spent 2/3 of his birthday on books and 1/4 of his birthday money on snacks. He says he spent 3/7 of his birthday money.
Which statement is most accurate?
*Disclaimer* show work
Answer:
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{4}[/tex] = [tex]\frac{8+3}{12}[/tex] = [tex]\frac{11}{12}[/tex] ≈ 1
The correct answer is the last one (C)
pls help me with this:((((
make t the subject q= 1+3t/2-t
Answer:
t = dfrac-1 + 2 q3 + q.
Step-by-step explanation:
HEYY CAN U HELP PLS NO WRONG ANSWERRS
Part C
For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Part F
Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?
this is part C
Answer:
y t
_ = _
2 1
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
The corresponding vertical sides are y and 2
The corresponding horizontal lines are x and 1
so
The proportion is equal to
What’s the slope of a line that goes through (0,2)(7,5)
Answer:
slope = 3/7 or 0.43
Step-by-step explanation:
use the slope(gradient) formula
In ΔMNO,
m
∠
M
=
(
6
x
+
1
)
∘
m∠M=(6x+1)
∘
,
m
∠
N
=
(
3
x
−
10
)
∘
m∠N=(3x−10)
∘
, and
m
∠
O
=
(
x
+
19
)
∘
m∠O=(x+19)
∘
. Find
m
∠
N
.
m∠N.
Answer:
Step-by-step explanation:
All the angles in a triangle add up to 180°
So you need to add up all your angles and set them equal to 180°
angleM + angleN + angleO=180
(6x+1) + (3x-10) + (x+19)= 180
We don't actually need all these parentheses; this is all just addition and subtraction.
6x+1+3x-10+x+19 =180
Add all the x terms together. Add all the constants (plain numbers) together.
10x + 10 =180
Subtract 10 from both sides
10x =170
Divide by 10.
x = 17
But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10
3*17 - 10 =
51 - 10 =
41
The measure of angle N is 41°
Matthew wants to buy a new pair of jeans. If the jeans were originally $65.00, but are on sale with a 10% discount, how much will Matthew have to pay for the jeans?
10% off means the jeans will sell for 90% of the original price ( 100% - 10% = 90%)
Multiply the original price by 90%
65.00 x 0.90 = 58.50
He will pay $58.50
Asha bought 60 fruit baskets.
25% of the fruit baskets have 12 pieces of fruit in each basket.
The remaining 75% of the baskets have 15 pieces of fruits in each basket.
Answer:
Answer: 855
Step-by-step explanation:
I take it you want the total number of fruit? You should state the question. I will assume I am correct.
So 25% of 60 baskets = 25/100 * 60 = 15 baskets.
Each basic contains 12 pieces of fruits 12 * 15 = 180
And 75% of 60 baskets = 0.75 * 60 = 45 baskets.
Each contains 15 pieces 45 * 15 = 675
The total number of fruit in all is 855
1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Plzz help me
Answer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
PLEASE ANSWER ASAP WORTH 10 PTS
Describe the graph of the line y = -5.
line with slope of -5
horizontal line
crosses the x-axis
vertical line
Evaluate the expression for x = 5 and y = -1
xy - y =
Answer:
-4
Step-by-step explanation:
xy-y = ?
(5)(-1)-(-1) = ?
-5 + 1 = -4
Hope that helps
Write a two- column proof.
Given: 3x = x + 12
Prove: x =5
Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
Answer:
The awnser should be 4. (3x4 = 12, 12 x 4 = 48, 48 x 12 = 192, 192 x 4 = 768. )
Step-by-step explanation:
(Hope this helps, Happy holidays!!)
how do you write 100 s a fraction, mixed number, or whole number
Solve each system by elimination
10x-8y=4
-5x+3y=-9
[tex]10x-8y =4~~~....(i)\\\\-5x+3y=-9~~~...(ii)\\\\\text{Multiply equation (ii) by} -2\\\\10x-6y = 18~~~...(iii)\\\\(iii)-(i):\\\\10x-6y - 10x +8y = 18 -4\\\\\implies 2y = 14\\\\\implies y= \dfrac{14}2 = 7\\\\\text{Substitute y = 7 in equation (i):}\\\\10x-8(7) =4\\\\\implies 10x - 56 =4\\\\\implies 10x = 4+56\\\\\implies 10x = 60\\\\\implies x = \dfrac{60}{10} = 6\\\\\\\text{Hence (x,y) = (6, 7)}[/tex]
Need some help with this one.
Answer:
y = -3x + 7
Step-by-step explanation:
Answer:
y = -3x + 7 (above)
Step-by-step explanation:
To add on, the person above me is correct. The equation of the line is in mx + b, where m is slope and b is the y-intercept.
We see the line intercepts the y axis at (0,7). Therefore the equation is y= mx +7
Now we look for m, the slope. If you may remember slope is also change in y over change in x, or rise/run. If you look at the graph, for each unit to the right, the line drops 3 units(it goes down, so negative). Therefore the slipe would be -3/1, or -3.
Plugging that in,
y = -3x + 7
-
5. Tanya wants to subtract 62 - 48. What are some
ways she can find the difference? Choose a way
and show the work needed to find the difference
what is the equation of the line with slope -7 which goes through the point (2,5)
Answer:
y=-7x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-2)
y=-7x+14+5
y=-7x+19
The equation of the line with slope - 7 which goes through the point (2, 5) is
y = - 7x - 19.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through points (2, 5) with a slope of - 7.
∴ 5 = -7(2) + b in slope-intercept form.
5 = - 14 + b.
b = - 19.
y = - 7x - 19.
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Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A
Answer:
42 and 54
Step-by-step explanation:
Figure A is a scale image of figure B.
Pls help!!!
x = 5.25
since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25
hope this is helpful!
Can someone please help me with number 49? :D ty!
Answer:
The answer is 4.5 cups I hope this helps :D