Answer:
There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.
Step-by-step explanation:
We have to make a hypothesis test to prove the claim that the average vertical jump of students differs from 15 inches.
The null and alternative hypothesis are:

The significance level is 0.10.
The sample mean is 17 and the sample standard deviation is 5.37.
The degrees of freedom are df=(20-1)=19.
The t-statistic is:

The two-sided P-value for t=1.67 is P=0.11132.
This P-value is bigger than the significance level, so the effect is not significant. The null hypothesis can not be rejected.
There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.
Y = mx + b is <span> the "slope-intercept" form of the equation of a line ;
We have y = -x + 6 ;
Then, m = - 1 ;
</span><span>The "point-slope" form of the equation of a straight line is:
</span><span>y - y1 = m(x - x1) ;
But, x1 = - 3 and y1 = 8 ;
We have y - 8 = (-1)( x + 3 );
Finally, y - 8 = -( x + 3 );
The right answer is the fourth choice;
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</span><span>y – 3 = (x – 1) ; the equation becames
</span>
y = x + 2 ;
The right answer is the third choice;
<span>Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.
Given

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have

Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.
Therefore, </span><span>

in standard notation is

</span>
Answer:
The width of the building is 50 lamps and 60 lamps will be needed.
Step-by-step explanation:
The perimeter is computed by the sum of the sides of the building, since the length and width are equal on the oposite sides of the building, the perimeter is given by:
perimeter = 2*length + 2*width
900 = 2*(400) + 2*width
2*width + 800 = 900
2*width = 900 - 800
2*width = 100
width = 100/2 = 50 feets
To know how many lights bulbs will be needed we need to take the perimeter of the building and divide it by the space between the lamps. We have:
number o lamps = 900/15 = 60 lamps
Answer:
.17 better average
Step-by-step explanation:
.323 - .306 = .17