Estimate to compare. Select < or >. Round each number to the nearest whole number to estimate each sum.

The international shark attack file recorded the number of shark attacks between 1837 and 2016 for 8 different u.s. states.

elena-s [515]

The mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.

As given,

Number of different states 'n'= 8

Number of sharks attacks for 8 different states

$x_{i}$ = 4, 8,5, 13, 3, 4, 1, 10

Mean = $\frac{\sum x_{i} }{n}$

= (4+ 8+ 5 + 13 + 3 + 4 + 1 + 10) /8

=48 /8

=6

Therefore, the mean of the data given 4, 8,5, 13, 3, 4, 1, 10 shows number of shark attacks over 8 different states is 6.

Learn more about mean here

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5 0

2 years ago

Calculate the standard deviation of the volume of water at a temperature of 25°C.

vaieri [72.5K]

Answer:

0.01

Step-by-step explanation:

Water is non viscous liquid and it has less density. The measure volume of water is 10.03 ml at 25 degree Celsius which is used to identify the standard deviation of the water.

Average volume of water 10.03ml.

Standard deviation is 0.0001 + 0.0001

Standard deviation is $\sqrt{0.0002}$ = 0.01.

5 0

3 years ago

A company claims its video game players have a defective rate of 4%. What is the probability that you and a friend both receive

alex41 [277]

Since you're looking for the chance that the defective player occurs twice, you need to find the chance your friend receives a defective player given that you also receive one. The chance you receive a defective player is 4%, or 0.04. If you friend also receives a defective player, then the chance of both occurring is 4% of 4%, or 0.04 * 0.04, which equals 0.0016. So the probability that you can a friend both receive a defective player is 0.16%.

5 0

4 years ago

Can anyone help with either one of these

Vlada [557]

slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)

Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5

therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58

answer: y=5x-58

Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3

Therefore:
y-0=1/3(x-0)
y=x/3

answer: y=x/3

4 0

4 years ago

How do I do this qn?

denis-greek [22]

You can take the log of the left and right hand side, and then apply the <span>logarithm rules:

log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)

log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)

simplifying by writing log9 = 2log3 and log6 = log2+log3

x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)

So 6^x = 4/9

3 0

4 years ago