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kodGreya [7K]
3 years ago
10

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Vesnalui [34]3 years ago
5 0
Since they are independent events to find the probability of both is P(A) * P(B)

P(A) = P(Heads) = \frac{1}{2}
P(B) = P(Roll ≥ 4) = \frac{3}{6} =  \frac{1}{2}

Now multiply those fractions together

\frac{1}{2} *  \frac{1}{2}  =  \frac{1}{4} = P(Heads & ≥ 4)
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Review the proof of cos(A - B) = cosAcosB + sinAsinB.
mars1129 [50]

Answer:

Option (2)

Step-by-step explanation:

Step 1.

\sqrt{(\text{cosA-cosB})^2+(\text{sinA-sinB})^2}=\sqrt{(cos(A-B)-1)^2+(sin(A-B)-0)^2}

Step 2.

(cosA - cosB)² + (sinA - sinB)² = [cos(A - B) - 1]² + [sin(A - B) - 0]²

Step 3.

cos²A + cos²B - 2cosAcosB + sin²A + sin²B - 2sinAsinB  = cos²(A - B) + 1 - 2cos(A - B) + sin²(A - B)

Step 4.

2 - 2cosAcosB - 2sinAsinB = 1 - 2cos(A - B) + 1

Step 5.

cosAcosB + sinAsinB = cos(A - B)

Therefore, Option (2) will be the answer.

3 0
3 years ago
Read 2 more answers
One number is four more than four times another. If their sum is decreased by six, the result is thirteen. Find the numbers.
Nezavi [6.7K]
2 and 13 I’m pretty sure but I might be wrong
5 0
3 years ago
A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the squar
Gnoma [55]
Area as a function of length can be written as

f(l) = l^2

And volume of cube can be expressed as a function of side s as,

f(s) = s^3
3 0
3 years ago
Candy bars cost $2 each at the concession stand. In the equation below, x represents the total number of candy bars sold, and y
MissTica

Answer:

C) The total revenue made selling candy bars.

Step-by-step explanation:

A dependent variable is one whose values depends on another variable. In y = 2x, the value of the variable y depends on x; therefore, y is the dependent variable. And since y is the total revenue made selling candy bars, the total revenue made selling candy bars is the dependent variable, which is choice C.

<em>Also,  x is an independent variable, because its value does not dependent on anything—we are free to choose whichever value of x we like. </em>

4 0
3 years ago
Read 2 more answers
The legs of a right triangle are 4 units and 7 units long. to the nearest whole number, what is the length of the hypotenuse? 8
Nitella [24]
Hypotenuse = √(4^2 + 7^2) = √(16+49) = √(65) = 8.0622. 

So the correct answer to the nearest whole number is 8 units.
6 0
4 years ago
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