Answer:
140
Step-by-step explanation:
Suppose,
x drinks were sold for 2$
y drinks were sold for 5$
therefore, x+y = 250....( 1 )
and 2x+5y = 830......( 2 )
multiply equation ( 1 ) with 2,
2x+2y = 500......( 3 )
Subtract equation ( 3) from (2)
3y = 330
or, y = 110
so, x = 140
so, 140 drinks were sold for 2$
Answer:
See below
Step-by-step explanation:
The formula for a z-score is
z = (x - µ)/σ where µ is the mean, and σ is the standard deviation.
We are given z = 2.8, µ = 17, and σ = 4. Plug them and and solve for x, which will be her point total..
2.8 = (x - 17)/4
11.2 = x - 17 (multiply both sides by 4 to get rid of the fraction)
28.2 = x (add 17 to both sides)
Yes, this score seems unusual. A z-score of 2.8 puts her in the higher tier of point scorers for the season. She scored 28.2 points in an entire season and was one of the highest scorers, so not many people are scoring points.
*Statistically, an unusual number is a number that is between 2 and 3 standard deviations above the mean. Sarah's score is
2.8 standard deviations above the mean, so by statistical definition, her score is unusual.
Probability between z = 0 and z = 3.01 is given by
P(0<z<3.01) = P(z<3.01) - P(z<0)
Reading from the z-table, we have
P(z<0) = 0.5
P(z<3.01) = 0.9987
Hence, P(0<z<3.01) = 0.9987 - 0.5 = 0.4987
Mean: 10.5
Median: 10.5
Range: 5
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<u></u>
To find the mean you order the numbers then add then divide.
<u>Add</u>
8+9+10+10+10+11+11+11+12+13=105
<u>Divide</u>
105÷10=10.5
Mean = 10.5
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<u></u>
Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.
Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.
the middle number is 10.5 so therefore it is the median.
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<u></u>
To find the range you subtract the biggest number to the smallest number.
<u>Subtract</u>
13-8=5
Therefore 5 is the range
Subtract <span>x</span> from both sides
<span>5=2x−x
</span> Simplify <span><span>2</span><span>−x</span></span> to <span>x</span>
<span>5=x
</span>Switch sides
<span><span>x=5.</span></span>