Answer:
The standard error in estimating the mean = (0.1 × standard deviation of the distribution)
Step-by-step explanation:
The standard error of the mean, for a sample, σₓ is related to the standard deviation, σ, through the relation
σₓ = σ/(√n)
n = sample size = 100
σₓ = σ/(√100)
σₓ = (σ/10) = 0.1σ
Hence, the standard error in estimating the mean = (0.1 × standard deviation of the distribution)
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:

How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.


Multiplying by (-1)

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:

So




Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
Answer:
The first question is A.
The second question is C.
The thid question is B., I think i'm not quit sure sorry
Answer:

Step-by-step explanation:
Let's solve:

Step 1: Simplify both sides of the equation.

Step 2: Add 3x to both sides.

Step 3: Subtract 4 from both sides.

Step 4: Divide both sides by -1.

Therefore, the answer will be x = 4.