(5/6)x = 360
x = 432 grams [multiply both sides by 6/5]
This question is not even trying to test your arithmetic. It's just testing
to see whether you know how to read numbers in words properly.
When you read numbers in words, the only time you ever say "and"
is for a decimal point. There are no decimals in this question, so the
"and" is not a part of any numbers.
The question gives you two numbers. The word "and" is the marker
that's
BETWEEN them. The two numbers are 1,300 and 950 .
The first thing the question wants you to do is write the numerical
expression for all the words. That's (1300 - 950) / 4 .
The next thing you're supposed to do is"evaluate the expression" ...
find out what number it all boils down to. I don't think you'll have
any trouble with that now.
6x + 2y = -88
2y = -88 -6x
y=-88/2 -6/2x
y= -44 - 3x
y = -3x - 44
Y intercept = -44
Slope/m = -3 (aka) -3/1
Answer:
A) sample mean = $1.36 million
B) standard deviation = $0.9189 million
C) confidence interval = ($1.93 million , $0.79 million)
*since the sample size is very small, the confidence interval is not valid.
Step-by-step explanation:
samples:
- $2.7 million
- $2.4 million
- $2.2 million
- $2 million
- $1.5 million
- $1.5 million
- $0.5 million
- $0.5 million
- $0.2 million
- $0.1 million
sample mean = $1.36 million
the standard deviation:
- $2.7 million - $1.36 million = 1.34² = 1.7956
- $2.4 million - $1.36 million = 1.04² = 1.0816
- $2.2 million - $1.36 million = 0.84² = 0.7056
- $2 million - $1.36 million = 0.64² = 0.4096
- $1.5 million - $1.36 million = 0.14² = 0.0196
- $1.5 million - $1.36 million = 0.14² = 0.0196
- $0.5 million - $1.36 million = -0.86² = 0.7396
- $0.5 million - $1.36 million = -0.86² = 0.7396
- $0.2 million - $1.36 million = -1.16² = 1.3456
- $0.1 million - $1.36 million = -1.26² = 1.5876
- total $8.444 million / 10 = $0.8444 million
standard deviation = √0.8444 = 0.9189
95% confidence interval = mean +/- 1.96 standard deviations/√n:
$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million
$1.36 million - $0.57 million = $0.79 million
2 blue, 4 green, 3 white....total of 9 chips
P(blue) = 2/9
replacing
P(green) = 4/9
P(both events happening) = 2/9 * 4/9 = 8/81 <==
