Answer:
x = 16
Step-by-step explanation:
5 = 1/2(x) - 3
Add 3 to both sides.
8 = 1/2(x)
Rewrite for clarity.
1/2(x) = 8
x/2 = 8
Multiply both sides by 2.
x = 16.
Proof:
5 = 1/2(x) - 3
Substitute variable.
5 = 1/2(16) - 3
Multiply 1/2 and 16.
5 = 8 - 3
Subtract 3 from 8.
5 = 5
Step-by-step explanation:
Note: Question does not indicate if probability required is for weight to exceed or below 3000 lbs. So choose appropriate answer accordingly (near the end)
Using the usual notations and formulas,
mean, mu = 3550
standard deviation, sigma = 870
Observed value, X = 3000
We calculate
Z = (X-mu)/sigma = (3000-3550)/870 = -0.6321839
Probability of weight below 3000 lbs
= P(X<3000) = P(z<Z) = P(z<-0.6321839) = 0.2636334
Answer:
Probability that a car randomly selected is less than 3000
= P(X<3000) = 0.2636 (to 4 decimals)
Probability that a car randomly selected is greater than 3000
= 1 - P(X<3000) = 1 - 0.2636 (to 4 decimals) = 0.7364 (to 4 decimals)
I am pretty sure the answer is 7.5 but im not to sure
Answer:x = 5/4
Step-by-step explanation: We are given y = 3/4x
and 5/2x +2y = 5
Substituting the value y=3/4 x in second equation we get
5/2x + 2(3/4)x = 5
8/2x = 5
4x = 5
and so , x = 5/4
substituting value of x in y = 3/4x we get,
y = 3/4 (5/4)
So, y = 15/16
which are the required values of x and y on solving the two given equations.
The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.
<h3>What is a rectangle?</h3>
A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.
Therefore, the dimensions of the rectangle Michael should draw is given by:
Dimension = 4 × 4 units.
Read more on parallelogram here: brainly.com/question/4459854
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