Answer:
X = 80°
Step-by-step explanation:
it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18
this means the two bottom angles are the same so the other would also be 50°
Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle
Answer:
Melissa picked 16 apples
Step-by-step explanation:
(Eric and Stephanie) 160 divided by 10 (I put ten because I add 6 and 4)
Which will equal 16.
Hope this helps ~~~~ :)
Answer:
95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.
Step-by-step explanation:
Confidence interval is given by mean +/- margin of error (E)
Eggs from small nest
Sample size (n1) = 60
Mean = 37.2
Sample variance = 24.7
Eggs from large nest
Sample size (n2) = 159
Mean = 35.6
Sample variance = 39
Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11
Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93
Difference in mean = 37.2 - 35.6 = 1.6
Degree of freedom = n1+n2 - 2 = 60+159-2 = 217
Confidence level = 95%
Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132
E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79
Lower limit = mean - E = 1.6 - 0.79 = 0.81
Upper limit = mean + E = 1.6 + 0.79 = 2.39
95% confidence interval for the difference in average mass is (0.81, 2.39)
Answer:
15 packages
Step-by-step explanation:
Set up a proportion, where x is the number of packages she can wrap with 2.5 rolls of wrapping paper:
= 
Cross multiply and solve for x:
0.5x = 7.5
x = 15
So, with 2.5 rolls of wrapping paper, she can wrap 15 packages
Answer:
The radius of the circle is 9 units.
Step-by-step explanation:
To calculate the area of the circle we need to find it's radius, since we have the area of the sector and it's angle, therefore we can calculate the radius by using the following formula:
sector area = (central angle)*pi*r²/360
27pi = 120*pi*r²/360
27pi = pi*r²/3
27 = r²/3
r² = 81
r = sqrt(81) = 9
The radius of the circle is 9 units.
