Answer:
0.9168
Step-by-step explanation:
From the data given:
Mean = 110
standard deviation = 5
Let consider a random sample n =49 which have a mean between 109 and 112.
The test statistics can be computed as:
= -1.4
Thus; P(109 < 
< 112) = P( - 1.4 < Z < 2.8)
= P(Z < 2.8) - P( Z < -1.4)
= 0.9974 - 0.0806
= 0.9168
Answer:The answer is x=84
Step-by-step explanation:
The lines p and f are parallel and t is the transverse line
Here the corresponding angles are equal
i.e. the angle made by the transverse line with each of the parallel line
is equal
So in fig 1 -60
fig 2 -124
fig 3 -135
So x=84 [corresponding angles are equal]
The degree of an expression in more than one variable is the highest sum of the powers of the variables in the terms.
Expression:
An algebraic expression is a combination of constant and variables connected by the signs of fundamental operations.
ex: 2x+5
Degree of an expression:
The degree of an expression in one variable is the highest exponent of the variable in that expression.
Ex:
2x^6 + x^4 + 5
Highest exponent = 6
so degree = 6
The degree of an expression in more than one variable is the highest sum of the powers of the variables.
Ex:
3x^1y^2 + 5x^3y^2 + 5
Sum of powers of variables = 3+2 = 5
Degree = 5.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ4
Answer: 59 degrees
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Work Shown:
We have the three angles:
angle A = (3x+2) degrees
angle B = (2x+7) degrees
angle C = 41 degrees
Rule: for any triangle, the three angles add up to 180 degrees
(angle A) + (angle B) + (angle C) = 180
(3x+2) + (2x+7) + (41) = 180
3x+2 + 2x+7 + 41 = 180
(3x+2x)+(2+7+41) = 180
(5x)+(50) = 180
5x+50 = 180
5x+50-50 = 180-50
5x = 130
5x/5 = 130/5
x = 26
Now use this x value to find the measure of angle B
angle B = (2x+7) degrees
angle B = (2*x+7) degrees
angle B = (2*26+7) degrees
angle B = (52+7) degrees
angle B = 59 degrees
Side Note: Angle A is 80 degrees (3x+2 = 3*26+2 = 78+2 = 80)
Another thing to note: A+B+C = 80+59+41 = 180
