We are asked to solve for the surface area of the described figure in the problem. We can conclude that the given figure is a rectangular prism since it was being mentioned in the problem that the height is laid flat. Therefore, the formula for the surface area is SA = PH + 2B where "P" stands for the perimeter of the rectangle and "B" stands for the area of the rectangle while "H" is for the height.
Solving for P, we have it:
P = width + length + width + length
P = 10 + 5 + 10 + 5
P = 30 inches
Solving for B, we have it:
B = length * width
B = 10 * 5
B = 50 inches squared
Solving for the surface area, we have it:
SA = PH + 2B
SA = 30*7 + (2*50)
SA = 310 inches squared
The answer is 310 in2.
Answer:
i'm sorry but where's the question?
<h3>
Answer :</h3>
x = 5
Step-by-step explanation:
<h3>: Given equation </h3><h3> • 8x + 2 = 42 </h3><h3> 8x = 42 – 2</h3><h3> 8x = 40</h3><h3> x = 40/8 = 5</h3><h3> x = 5</h3>
Hey there!
You can figure this out by making 40% into a decimal. This decimal would be .4. So multiply 35 by .4. You get 14. So 14 is 40 percent of 35.
I hope this helps!
Question 1
probability between 2.8 and 3.3
The graph of the normal distribution is shown in the diagram below. We first need to standardise the value of X=2.8 and value X=3.3. Standardising X is just another word for finding z-score
z-score for X = 2.8

(the negative answer shows the position of X = 2.8 on the left of mean which has z-score of 0)
z-score for X = 3.3

The probability of the value between z=-0.73 and z=0.49 is given by
P(Z<0.49) - P(Z<-0.73)
P(Z<0.49) = 0.9879
P(Z< -0.73) = 0.2327 (if you only have z-table that read to the left of positive value z, read the value of Z<0.73 then subtract answer from one)
A screenshot of z-table that allows reading of negative value is shown on the second diagram
P(Z<0.49) - P(Z<-0.73) = 0.9879 - 0.2327 = 0.7552 = 75.52%
Question 2
Probability between X=2.11 and X=3.5
z-score for X=2.11

z-score for X=3.5

the probability of P(Z<-2.41) < z < P(Z<0.98) is given by
P(Z<0.98) - P(Z<-2.41) = 0.8365 - 0.0080 = 0.8285 = 82.85%
Question 3
Probability less than X=2.96
z-score of X=2.96

P(Z<-0.34) = 0.3669 = 36.69%
Question 4
Probability more than X=3.4

P(Z>0.73) = 1 - P(Z<0.73) = 1-0.7673=0.2327 = 23.27%