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3 years ago

Arturo has a log that is 4 yards long. he cuts the log into pieces that are 1/3 yard long . how many pieces will Arturo have?

1 answer:

8 0

Arturo will have 12 pieces. For this problem, you need to multiply by the reciprocal. To do that, you flip 1/3 over to 3/1 and multiply that by 4. 3/1 times 4 equals 12. Remember that 4 as a fraction is 4 over 1. So you would multiply 4 by the numerator (3) because 4 is the numerator in 4/1.

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Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

<u>99% confidence interval for</u> $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

3 years ago

A husband and wife can complete a certain task in 1 and 2 hours respectively. Their children, Rae and Herman, can complete the s

hodyreva [135]

Answer:

1:2 and 4:6 which equal 3:10

Hope I Can Help!! :) Good Luck

5 0

3 years ago

Anna bakes 12 bluebblueberry muffins 20 bran muffins and 8 Apple muffins.What percent of the muffin are blueberry?

erik [133]

30% are blueberry muffins.

6 0

2 years ago

Read 2 more answers

There was no actually pyramid for these questions it tells you the measurements in the problem though. please help me

Nimfa-mama [501]

V=448 in^3
l=8 in
w=12
h=?
V=l•w•h/3
448=8•12•h/3 multiply both sides by 3
3•448=96•h
1344=96•h
h=1344/96
h=14 in

V=l•w•h/3
h=4in
l=3in
w=2.5 in
V=?
V=4•3•2.5/3
V=30/3
V=10 in^3

3 0

3 years ago

Solve and type in a different form by using the given theorems of logarithms

scoray [572]

$\log\left(\frac{10}{y}\right) = \log(10) - \log(y)$