Answer:
228
Step-by-step explanation:
first we will find the area of the triangles on the sides of the prism.
(triangle area formula: (b*h)/2)
(6*5)/2 = 15
we multiply this by 2 since there are 2 sides that contain the same measures:
15*2 = 30
then we find the rectangles that are on the sides (not the base)
(rectangle formula: b*h)
11*6.5 = 71.5
multiply this by 2 since there are two sides:
71.5*2 = 143
finally we find the base using the same formula as we did to find the rectangles:
11*5 = 55
finally we add them all up:
30+143+55 = 228
hope this helps! :)
The volume of the second prism is 576 cubic centimeters. Since both prisms have the same height, I solved for the height using the data given with the first prism (I got 6 centimeters for the height). And then I calculated for the volume of the second prism.
Answer:
Step-by-step explanation:
0.28 is roughly the same as 0.280, which has 3 significant digits (same as 0.205 has 3 significant digits). It's easier when we compare numbers having the same number of decimal places.
Comparing 0.280 to 0.205, we see that the hundredths place of 0.280 (which is 8) is greater than the hundredths place of 0.205 (which is 0). Thus 0.28 is greateer than 0.205.
We are going to use a continuity correction factor. When you use a normal distribution to get the estimated binomial distribution, you're going to have to use a continuity correction factor. So with this, the data will become from <span>20 - 35 it will now become 19.5 to 35.5.
So we are going to use the z table for this problem. So if we are looking for the z value, the formula would be: </span>x – μ / σ<span>
get the value of the first z value:
</span>z1 = (19.5 - 30) / 9 = -1.167
get the value of the second z value:
<span>z2 = (35.5 - 30) / 9 = 0.61
</span>
So getting the probability of both:
P(-1.167 < z < 0.61) = P(Z ≤ b) – P(Z ≤ a) = <span>0.6075</span>
Answer:
106.25 mph
Step-by-step explanation:
since the car travels at 85 miles per hour we divide it by 60 seconds in order to find how many miles is it to get in a minute
=> 85mph ÷ 60
divide 85 by 60
=> 1.416
multiply 1.416 by 15 to get how many miles it to go in 15 minutes
=> 21.25
then add it to 85
=> 106.25