There was 16 apples in the first box and 8 apples in the second box initially.
Answer:
The angle between the 190 ft. side and the 330 ft. side is 
Step-by-step explanation:
<u>The Law of Cosines</u>
When we know the value of all sides of a triangle, we can compute all of its interior angles by using the Law of Cosines, which is a generalization of the Pythagoras's theorem. If a,b, and c are the known sides of a triangle and
is the angle formed by sides a and b (opposite to c), then

We'll use the values a=190, b=330, c=280 because we want to compute the angle opposite to c






Answer:
The 90% confidence interval would be given by (63.330;81.070)
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Let put some notation
x=left arm , y = right arm
x: 175 169 182 146 144
y: 102 101 94 79 79
Since the Confidence is 0.90 or 90%, the value of a = 0.1 and a/2= 0.05we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that ta/2= 2.13
Here,
The midpoint of segment QR is M
<u>m</u><u>(</u><u>-2</u><u>,</u><u>9</u><u>)</u> x3=-2,y3=9
<u>Q</u><u>=</u><u>(</u><u>-8</u><u>,</u><u>1</u><u>2</u><u>)</u>x1=-8,y1=12
R=x2,y2
we know that,
⠀
So,
x3=
⠀
⠀
⠀
⠀
⠀
x2=4
now we find the y coordinate y2.
y3=
⠀
⠀
⠀
⠀
⠀
y2=6
<em>Now</em><em> </em><em>we</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>coordinate</em><em> </em><em>of</em><em> </em><em>R</em>
<em>so</em><em>,</em>
R=(x2,y2)=(4,6)
Answer:
yes
Step-by-step explanation:
41/50=615/75
same ratio