Answer:
d = 105° , e = 32° , f = 43°
Step-by-step explanation:
d and 105° are vertically opposite angles and are congruent , then
d = 105°
e and 32° are vertically opposite angles and are congruent , then
e = 32°
105° , e and f lie on a straight line and sum to 180° , that is
105° + e + f = 180°
105° + 32° + f = 180°
137° + f = 180° ( subtract 137° from both sides )
f = 43°
Answer:
57.93%
Step-by-step explanation:
We have been given that men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. We are asked to find the probability that a man's breadth is less than 6.2 inches.
First of all, we will find z-score corresponding to sample score of 6.2 as:
, where,
z = Z-score,
x = Sample score,
= Mean,
= Standard deviation.
Upon substituting our given values in z-score formula, we will get:
Now, we need to find the probability that a z-score is less than 0.2.
Using normal distribution table, we will get:
Therefore, the probability that a male's head breadth is less than 6.2 inches, would be approximately 57.93%.
Answer:
The given coordinates of the vertices of rectangle ABCD are A(−2,2),B(4,2),C(4,−2).
We are to plot D on the graph.
Since ABCD is a rectangle, the abscissa of D will be that of A and the ordinate of D will be that of C.
Step-by-step explanation:
The answer is C. 6+3 x (-5)
Answer:
-32
Step-by-step explanation:
First you have to solve the numbers in the parenthesis which would be (8-4)= 4 then there is a 2 that you have to multiply which would be 4x2=8, then you have to solve the other parenthesis (4-8)=-4 so then you end up with 8x-4 which equals -32
