University of Southern California

To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there are

Statistics

Probability Solutions

To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there are exactly 0 boys. 1st 2nd 3rd boy-boy-boy boy-boy-girl boy-girl-boy boy - girl-girl girl-boy-boy girl-boy-girl girl-girl-boy girt-girl-girl What is the probability of exactly 0 boys out of three children? (Type an integer or a simplified fraction.)

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant
A

Statistics

Probability Solutions

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant A B C D Order Accurate 328 278 236 130 Order Not Accurate 34 59 37 12 If one order is selected, find the probability of getting an order that is not accurate. The probability of getting an order that is not accurate is ________ (Round to three decimal places as needed.)

Given the following diagram, find the required measure.
Given: /11 m
m∠1=140°
m ∠ 3=50°
m∠4=
O 90
O 40
O 130
O 140

Geometry

Solution of triangles Solutions

Given the following diagram, find the required measure. Given: /11 m m∠1=140° m ∠ 3=50° m∠4= O 90 O 40 O 130 O 140

A student's course grade is based on one midterm that counts as 10% of his final grade, one class project that counts as 25% of his final grade, a set of homework assignments that counts as 35% of his final grade, and a final exam that counts as 30%

Statistics

Statistics Solutions

A student's course grade is based on one midterm that counts as 10% of his final grade, one class project that counts as 25% of his final grade, a set of homework assignments that counts as 35% of his final grade, and a final exam that counts as 30% of his final grade. His midterm score is 73, his project score is 84, and his homework score is 80,and his final exam score is 72. What is his overall final score? What latter grade did he earn(A,B,C,D or F)? Assume that mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.

Convert the polar equation r² (25cos²θ + 4sin²θ)
=100 to a rectangular equation.

Math - Others

Basic Math Solutions

Convert the polar equation r² (25cos²θ + 4sin²θ) =100 to a rectangular equation.

Determine a c and a d function such that c(d(t)) = √(1 - t²).

Algebra

Complex numbers Solutions

Determine a c and a d function such that c(d(t)) = √(1 - t²).

Write the series with summation notation.
1+8+27 +64 +125 +216
1+8+27 +64 + 125 +216 =i=1Σ?
(Simplify your answer.)

Algebra

Permutations and Combinations Solutions

Write the series with summation notation. 1+8+27 +64 +125 +216 1+8+27 +64 + 125 +216 =i=1Σ? (Simplify your answer.)

Algebra

Sequences & Series Solutions

Write the series with summation notation. 1+8+27 +64 + 125+ 216 1+8+27 +64 +125+216 =i=1Σ? (Simplify your answer.)

the rotation clockwise about the origin through the angle π/2. What is im A?
O The line X = 0.
O The whole plane R².
O The line y = 0.
O Zero subspace (0)
O None of the other options

Algebra

Complex numbers Solutions

the rotation clockwise about the origin through the angle π/2. What is im A? O The line X = 0. O The whole plane R². O The line y = 0. O Zero subspace (0) O None of the other options

Find the scalar equation for the plane passing through the point P(-1,5, 3) and containing the line L defined by
X=-3-2t
y = 3+3t
z=1+t
0=0

Algebra

Sequences & Series Solutions

Find the scalar equation for the plane passing through the point P(-1,5, 3) and containing the line L defined by X=-3-2t y = 3+3t z=1+t 0=0

B In a large clinical trial, 392,551 children were randomly assigned to two groups. The treatment group consisted of 197,704 chi

Algebra

Permutations and Combinations Solutions

B In a large clinical trial, 392,551 children were randomly assigned to two groups. The treatment group consisted of 197,704 children given a vaccine for a certain disease, and 40 of those children developed the disease. The other 194,847 children were given a placebo, and 155 of those children developed the disease. Consider Be the vaccine treatment group to be the first sample. Identify the values of n. Pl... 262, P, and a EC GE a n- ext- (Type an Integer or a decimal rounded to elight decimal places as needed) G- le (Type an integer or a decimal rounded to eight decimal places as needed) udy oral ces esou 2 =D (Type an integer or a decimal rounded to eight decimal places as needed) urch bols em (Type an integer or a decimal rounded to eight decimal places as needed) p= (Type an integer or a decimal rounded to eight decimal places as needed.) (Type an integer or a decimal rounded to eight decimal places as needed.) Next

For 0 < θ<π/2 find the values of the trigonometric functions based on the given one.If cot (θ)=10/8then
a)tan(θ)=
b)sin (θ) =
c)cos(θ)=
d)sec (θ)=
e)csc (0)=

Math - Others

Trigonometry Solutions

For 0 < θ<π/2 find the values of the trigonometric functions based on the given one.If cot (θ)=10/8then a)tan(θ)= b)sin (θ) = c)cos(θ)= d)sec (θ)= e)csc (0)=

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