Answer:
-0.46
Step-by-step explanation:
We have small sample sizes n1 = 9 and n2 = 9.
,
;
,
.
![s_{p}^{2} = \frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2} = \frac{(9-1)(7.47)^{2}+(9-1)(5.75)^{2}}{9+9-2} = 44.43](https://tex.z-dn.net/?f=s_%7Bp%7D%5E%7B2%7D%20%3D%20%5Cfrac%7B%28n_%7B1%7D-1%29s_%7B1%7D%5E%7B2%7D%2B%28n_%7B2%7D-1%29s_%7B2%7D%5E%7B2%7D%7D%7Bn_%7B1%7D%2Bn_%7B2%7D-2%7D%20%3D%20%5Cfrac%7B%289-1%29%287.47%29%5E%7B2%7D%2B%289-1%29%285.75%29%5E%7B2%7D%7D%7B9%2B9-2%7D%20%3D%2044.43)
Because Carlos conducts a study comparing the performance of individuals on the first quiz in each of two classes taken in the first term of their freshman year, the hypothesis null is
, then, the observed t-value is
![t=\frac{(\bar{x}_{1}-\bar{x}_{2})-0}{s{p}\sqrt{1/n1+1/n2}} = \frac{-1.45}{6.67(0.47)} = -0.46](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%28%5Cbar%7Bx%7D_%7B1%7D-%5Cbar%7Bx%7D_%7B2%7D%29-0%7D%7Bs%7Bp%7D%5Csqrt%7B1%2Fn1%2B1%2Fn2%7D%7D%20%3D%20%5Cfrac%7B-1.45%7D%7B6.67%280.47%29%7D%20%3D%20%20-0.46)
The hard drive was 24.32% full when the transfer began.
4.4 x 32 = 140.8
384 - 140.8 = 243.2
243.2 divided by 1000 = 0.2432
Move the decimal 2 places to the right to create a percentage and you now have your answer of 24.32%
The simple interest equation that represent the situation is A = t/5
<h3>What is simple interest?</h3>
Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest. For example, when a person takes a loan of 500 dollars, at a rate of 10 per annum for two years, the person's interest for two years will be S.I. on the borrowed money.
Principal(P) borrowed = $2
Rate(R) in percentage = 10
time in years = t
Simple interest(A) = P X R X t / 100
A = 2 X 10 X t/ 100
After reducing 20/100 to the lowest term
A = t/5
In conclusion the simple interest(A) = t/5
Learn more about simple interest: brainly.com/question/20690803
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Answer:
option=d.
hkm=jkl( by vertical opposite angle)
155°=(5x+15)°
155-15=5x
140=5x
140/5=x
28=x
Answer:
<em>
The slope is 2/5</em>
Step-by-step explanation:
<u>Calculating the Slope of a Line
</u>
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
![\displaystyle m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We are given the points (-5, -2) (5, 2). Let's compute the slope:
![\displaystyle m=\frac{2-(-2)}{5-(-5)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B2-%28-2%29%7D%7B5-%28-5%29%7D)
![\displaystyle m=\frac{4}{10}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B4%7D%7B10%7D)
Simplifying:
![\displaystyle m=\frac{2}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B2%7D%7B5%7D)
The slope is 2/5