Answers
Step-by-step explanation:
with 2 dice we have 6×6 = 36 possible outcomes.
you know
1, 1
1, 2
1, 3
...
6, 6
from these 36 possible outcomes only the following have a sum of 4 :
1, 3
2, 2
3, 1
so, 3 out of 36.
that mags the probability is
3/36 = 1/12
the first answer option is correct.
Related Questions
HELP PLS A rectangle has vertices at these coordinates.
(0, 8), (5, 8), (5, 0)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes
Answers
Answer:
(0, 0).
Step-by-step explanation:
The 2 points with y = 8 is a horizontal side with (5, 8) 5 units to the right and the point (5, 0) lies vertically down from (5, 8) so the fourth point is 5 to the left of (5, 0) which is (0, 0)
1/15 divided by 5/7 please
Answers
Answer:
7/75
Explantion:
To get the answer as a fraction you must first have a common denominator
so . .
[tex]\frac{1}{15}[/tex][tex]\frac{5}{7}[/tex]105 is a common denominator
So . .
Multiply 5/7 by 15
Multiply 1/15 7
This comes out as
[tex]\frac{7}{105}[/tex][tex]\frac{75}{105}[/tex]Divide = 7/75
Find the measure of the missing angle.
Answers
Answer:
Step-by-step explanation:
a = 180 - 112
= 68 degrees (adjacent angles)
Interest = $821.25, time = 1 year, rate = 12.42%. Find the principal
Answers
Step-by-step explanation:
P = l.100/t.r = $821.25×100/12.42×1 = $6612.318
hope this helps you.
Please solve with explanation (high points)
Answers
8.1. If x is the distance from P to the flagpole and h is the height of the flagpole, then
tan(53°) = h/x
tan(28°) = h/(x + 20)
Solve for the first equation for h in terms of x :
h = x tan(53°)
Substitute this into the second equation and solve for x :
tan(28°) = x tan(53°) / (x + 20)
(x + 20) tan(28°) = x tan(53°)
x tan(28°) + 20 tan(28°) = x tan(53°)
x (tan(28°) - tan(53°)) = -20 tan(28°)
x = 20 tan(28°) / (tan(53°) - tan(28°))
x ≈ 13.4 m
8.2. By the law of cosines,
BD² = 7² + 11² - 2 • 7 • 11 cos(110°)
⇒ BD = √(170 - 154 cos(110°))
⇒ BD ≈ 14.9 cm
and
BC² = BD² + 16² - 2 • BD • 16 cos(40°)
⇒ BC = √(426 - 154 cos(110°) - 32 cos(40°) √(170 - 154 cos(110°)))
⇒ BC ≈ 10.6 cm
Now use Heron's formula. If S is the semiperimeter of ∆ABD and S' is the semiperimeter of ∆BCD, i.e.
S = (AB + BD + AD)/2 ≈ 16.5 cm
S' = (BC + CD + BD)/2 ≈ 20.7 cm
then
area ∆ABD = √(S (S - AB) (S - BD) (S - AD)) ≈ 36.2 cm²
and
area ∆BCD = √(S' (S' - BC) (S' - CD) (S' - BD)) ≈ 76.7 cm²
so that the total area of ABCD is approximately 112.9 cm².
Find an equation of the circle that has center (-3, -6) and passes through (0, 1).
Answers
Answer:
Step-by-step explanation:
General equation for a circle (x - a)² + (y - b)² = r² with (a,b) represents the center, (x,y) represents one of the points lie on the circle, and r represents the radius Determine r² by substituting the points into the general equation (x - a)² + (y - b)² = r² (5 - (-1))² + (-4 - 2)² = r² (5 + 1)² + (-6)² = r² 6² + 36 = r² 36 + 36 = r² 72 = r² Determine the equation of the circle (x - a)² + (y - b)² = r² (x - (-1))² + (y - 2)² = 72 (x + 1)² + (y - 2)² = 72 (This is the equation of the circle)
These are confusing can anyone help with this?
Answers
Answer:
3. B
Step-by-step explanation:
What is the value of x?
Answers
Answer:
9
Step-by-step explanation:
x is 9 assuming they are identical triangles.
-2a(-5d-4c) answer this
Answers
Answer:
10ad+8ac
Step-by-step explanation:
I know trust me.
Solve for r.
r= __ ?
Answers
r= \frac{q^{2} }{p^{3}} +1
A smoothie recipe calls for 2 and 1 4th cups of frozen mango if the recipe serves two how many cups of frozen mango is needed to serve one
Answers
Answer:
The required number of cups of frozen mango is 1.125.
Step-by-step explanation: Given that a smoothie recipe calls for cups of frozen mango and the recipe serves two.
We are to find the number of cups of frozen mango that is needed to serve one.
We will be using the UNITARY method to solve the problem.
We have
The number of cups of frozen mango that needs to serve two is
Therefore, the number of frozen mango that needs to serve one is given by
Thus, the required number of cups of frozen mango is 1.125.
Step-by-step explanation:
The sum of two consecutive odd integers is 680 what are the integers
Answers
Answer:
let the first number and second number be x+1 and x+3 respectively
Can someone help me with this please ignore the question on the bottom
Answers
Answers:
DiameterSemicirclePoint of TangencyInternal Common TangentMajor ArcRadiusCenter of a CircleExternal Common TangentSecantChordMinor Arc===========================================================
Explanations:
The diameter is a segment that goes through the center of a circle. Both endpoints are on the circle's edge. The diameter is twice the radius.Arc EGF forms a half circle, better known as a semicircle. The measure of angle EBF is 180 degrees, which is half of a full 360 rotation.Point G is a point of tangency. It's the point of tangency of the two circles, and also the point of tangency for any particular circle and the tangent HJ.Line HJ is the internal common tangent. It is tangent to both circles. We consider it internal since it crosses over the line segment that would connect the centers A and B. Notice that the external tangent KF does not cross the segment that would connect A and B.Arc CDK is a major arc of circle A. By definition, a major arc is anything larger than a semicircle. In other words, if its measure is over 180 degrees, then we have a major arc. A minor arc is anything smaller than 180.Segment BF is a radius of circle B. It is half the diameter EF. If you know the radius, then double it to get the diameter. The radius is from the center of the circle to any point on the circle's edge.Point A is the center of circle A. We label the circle names based on their center.As mentioned earlier, line KF is a external common tangent to the circles. It is tangent to both circles, and it is external in the sense it doesn't cross over line segment AB (you'll have to draw in line segment AB to see that it doesn't cross).Line CD is a secant line. A secant line crosses a circle at exactly two different points. In contrast, a tangent line only touches a circle at exactly one point.Segment GK is a chord. It's basically the segment version of a secant line. A chord is any segment where the endpoints are on the circle's edge. The diameter is a special type of chord.Arc CK is a minor arc. We start at C and travel the shortest distance along the circle to arrive at point K. This is less than a semicircle, so it's why we go with minor arc instead of major. The measure is less than 180 degrees.ade and ola share a sum of 400 naira in the ratio 3:5. find the amount ade received.
Answers
Answer:
150 Naira
Step-by-step explanation:
3 + 5 = 8
Since Ade receives in a 3 to 5 ratio, Ade receives 3/8 of the total.
3/8 × 400 = 150
Answer: 150 Naira
dummy forgot his pin code. 20% of his pin code was 246.8 what was his pin code
Answers
Answer:
1234
Step-by-step explanation:
If 20% of his pin code was 246.8, we have to multiply 246.8 by 5 to get his pin code, which is 1234 (not safe btw.)
would really appreciate it if you hearted this answer
HELP ASAP!!!
The black graph is the graph of y = f(x).
Choose the equation for the red graph.
Answers
Answer:
B
Step-by-step explanation:
We shift the black graph about the x axis, to do that we divide y by -1,
We then shift over to the left 5 units, to do that's we add 5 to the x value.
So the answer here is B
What is the distance between the y-intercept of the function f(x)=2(3)^x and the y-intercept of the function g(x) represented by the table below?
Answers
Answer:
A. 1
Step-by-step explanation:
y-intercept of f(x)
f(x) = 2(3)°f(x) = 2(0, 2)y-intercept of g(x)
g(x) = (0, 3)Distance
⇒ 3 - 2
⇒ A. 1
Dont answer unless your sure will mark brainliest
Answers
Answer:
199.5
Step-by-step explanation:
Please help me I really need help
Answers
Original perimeter:
2(8+7) = 2(15) = 30 yds
New perimeter once they are tripled:
3 x 8 = 24
3 x 7 = 21
2(24+21) = 2(45) = 90 yds
30 x 3 = 90
Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principal amount, with an interest of 3% compounded quarterly. Brooklyn wants to deposit $300 as the principal amount, with an interest of 5% compounded monthly. Explain which method results in more money after 2 years. Show all work.
Answers
Answer:
Brooklyn's method results in more money after 2 years
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedPatrick's Method
Given:
P = $300r = 3% = 0.03n = 4t = 2Substituting the given values into the formula and solving for A:
[tex]\implies \sf A=300\left(1+\dfrac{0.03}{4}\right)^{4 \times 2}[/tex]
[tex]\implies \sf A=300\left(1.0075\right)^{8}[/tex]
[tex]\implies \sf A=318.4796543...[/tex]
Therefore, using Patrick's method, there would be $318.48 in the account after 2 years.
Brooklyn's Method
Given:
P = $300r = 5% = 0.05n = 12t = 2Substituting the given values into the formula and solving for A:
[tex]\implies \sf A=300\left(1+\dfrac{0.05}{12}\right)^{12 \times 2}[/tex]
[tex]\implies \sf A=331.4824007...[/tex]
Therefore, using Brooklyn's method, there would be $331.48 in the account after 2 years.
As $331.48 > $318.48 then Brooklyn's method results in more money after 2 years.
Since the beginning of the month a local reservoir has been losing water at a constant rate. On the 10th of the month, the reservoir held 300million gallons of water and on the 18th it held only 262 million gallons. A. Write an equation that will give the amount of water in the reservoir at any time B. Hov, much water was in the reservoir on the 14th of the month? C. When will the reservoir get empty?
Answers
Total amount in the reservoir = amount of water in the 10th month - (rate of decline x number of months from the 10th month)
Rate of decline = (300 262) / (18 - 10) = 4.75
y = 300 million = 4.75x
Where x is the time of the month.
What will be the quantity of water in the reservoir on the 14th of the month?Total amount in the reservoir = amount of water in the 10th month - (rate of decline x number of months from the 10th month)
300 million - (4.75 x 4) = 281 million
When will the reservoir be empty?
0 = 300 - (4.75x)
x = 300 / 4.75
x = 63.16 days
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
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Suppose that the average bill for the drive through of 24 customers at Burger Palace is $14.30. It is known that the population standard deviation is σ=2.30. Estimate the true mean bill for a customer at Burger Palace with 95% confidence.
Answers
The standard deviation is a measure of a collection of values' variance or dispersion. The true mean bill for a customer at Burger Palace with 95% confidence is $13.38.
What is a standard deviation?The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
Given that the Sample mean ([tex]\overline x[/tex]) is $14.30, the Sample size(n) is 24 customers, the Standard deviation(σ) is 2.30, while for a 95% confidence interval the Z-score is 1.960. Therefore, the true mean can be written as,
[tex]Z = \dfrac{\overline x- \mu}{\frac{\sigma}{\sqrt n}}\\\\\\1.960 = \dfrac{14.30-\mu}{\frac{2.30}{\sqrt{24}}}\\\\\\1.960 = \dfrac{14.3-\mu}{0.47}[/tex]
μ = 13.3788 ≈ 13.38
Hence, the true mean bill for a customer at Burger Palace with 95% confidence is $13.38.
Learn more about Standard Deviation:
https://brainly.com/question/16555520
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Verify the Identity!!
Answers
Answer:
Check the proof below
Step-by-step explanation:
try to verify from RHS to LHS
(Tan a + tan b) / (tan a - tan b)
= (sin a / cos a + sin b /cos b) / ( sin a/ cos a - sin b/ cos b)
= (sin a cos b + cos a sin b)/ (sin a cos b - cos a sin b)
= sin (a+b) / sin (a-b)
Fyi
sin(A+B) = sinAcosB+cosAsinB
sin(A-B) = sinAcosB-cosAsinB
Please help!
Will give brainliest to whoever explains.
Answers
Answer:
First we need to determine what cos is asking for. Using Soh Cah Toa we can tell that we are using adjacent (a) and hypotenuse (h). The leg that is adjacent to Q is equal to 10 while the hypotenuse is equal to 21.
[tex]cos(Q)=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos(Q) = \frac{10}{21}[/tex]
After getting to this part, we have to take the inverse of cos in order to cancel the cos on the left and leave Q by itself.
[tex]cos^{-1}(cos(Q))=cos^{-1}(\frac{10}{21})[/tex]
[tex]Q = 61.56\ degrees[/tex]
In the end we are left with that our angle Q is equal to 61.56 degrees.
Hope this helps! Let me know if you have any questions
Which expression is the result of solving the equation ar – b = cy for ? (For a 70).
cy
cy + b
+ b
Don
Answers
Answer:
4th option, (cy+b)/a
Step-by-step explanation:
By algebraic manipulation, we add b to both sides, then divide by a to isolate x.
find the value of y and x
Answers
Answer:
in my wisdom i think x=60 and y=60
I need help solve this
Answers
Answer:
36
Step-by-step explanation:
Area of a triangle = A = hb x b
A = 12 x 7 = 84 2
84/2 = 42
rectangle area = l x w
2 x 3 = 6
42 - 6
36
Determine the measure of the missing angle.
1 point
65°
?
57°
57 degrees
O 48 degrees
65 degrees
O 58 degrees
Solve for
Answers
Step-by-step explanation:
65° + 57° + x = 180° ( the sum of angle of triangle is 180° )
122° + x = 180°
x = 180° - 122°
x = 58°
hence the answer is 58°....
Answer:
58 degrees
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
180 = 65 + 57 + x
180 = 122 +x
x =180 -122
x = 58
What is an element NOT found in creative writing?
A. conflict
B. plot
C. works cited
D. description
Answers
Answer:
it should be c
Step-by-step explanation:
Identify the coordinates of Point B after it is reflected across the y-axis.
(4, -3)
(4, 3)
(-4, 3)
(-4, -3)
Answers
Answer:
(-4,3)
Step-by-step explanation:
the coordinate (4,-3) is just at the 4th quadrant in which the value of x is positive and the value of y is negative
the quadrant (4,3) is on the first quadrant and the value expressed with the letter A
the coordinate (-4,-3) is a coordinate on the quadrant in which both values are negative
