All Questions ⁺⁰237784 Questions

+1

111

4

+25

f(x) = g(x), f(x) > g(x)

a) Let f(x) = |x| and g(x) = x^2. Find all values of x for which f(x) = g(x).
b) Let f(x) = |x| and g(x) = x^2. Find all values of x for which f(x) > g(x). Write your answer in interval notation.

chippers44 Mar 25, 2023

+1

156

1

help

Let $ABCD$ be a rectangle in space, and let $P$ be a point in space. If $AP = 3,$ $BP = 2,$ and $CP = 7,$ then find $DP.$

Guest Mar 25, 2023

+1

140

0

algebra

For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are 1 - 20x + 180x^2 + cx^3+...
Find c.

Guest Mar 25, 2023

+2

170

3

+32

Railway Crossing

A train travelling at 90 km/h passes a car sitting at a railway crossing. It took 45 s for the train to pass. How long was the train, in metres.
- Thanks!

ALittleFroggy Mar 25, 2023

+1

153

6

counting

Sam writes down the numbers 1, 2, 3, ..., 99
(a) How many digits did Sam write, in total?
(b) Sam chooses one of the digits written down, at random. What is the probability that Sam chooses a 0?
(c) What is the sum read more ..

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Guest Mar 25, 2023

+1

156

1

stats

A list of ten distinct, positive integers has a median of 5.5. What is the smallest possible average of the ten positive integers? Explain your ansswer in complete sentences.

Guest Mar 25, 2023

+1

1

137

2

counting

At a meeting, five scientists, two mathematicians, five journalists, two biologists, and three politicians are to be seated around a circular table. How many different arrangements are possible if the scientists must all sit together (in read more ..

Guest Mar 25, 2023

+1

135

0

counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

Guest Mar 25, 2023

+1

166

1

Estimate of the population standard deviation with Chi-Square critical values

Listed below are speeds (mi/h) measured from traffic on a busy highway. This simple random sample was obtained at 3:30 P.M. on a weekday. Use the sample data to construct a 99% confidence interval estimate of the population standard read more ..

Guest Mar 25, 2023

+1

146

0

geometry

Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on AB with a vertex C next to A Find angle BCD in degrees.

Guest Mar 25, 2023

0

163

2

Geometry

As shown in the figure, AD is perpendicular to BC, and point E lies on AD. If AC = 10, CE = 6, and EB = 9, what is the length of segment AB? Express your answer in simplest radical form. read more ..

Guest Mar 25, 2023

Mar 24, 2023

0

151

0

Probabillity

I need the answer to this
Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?

Guest Mar 24, 2023

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