Answer:
Step-by-step explanation:
∠UST=2 m∠2
10x+10=2(6x-1)
10x+10=12x-2
12x-10x=10+2
2x=12
x=6
m∠UST=10×6+10=70°
Answer:
y = - x +
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = x + ← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = - , thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - + c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
suppose the people have weights that are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.
Find the probability that if a person is randomly selected, his weight will be greater than 174 pounds?
Assume that weights of people are normally distributed with a mean of 177 lb and a standard deviation of 26 lb.
Mean = 177
standard deviation = 26
We find z-score using given mean and standard deviation
z =
=
=-0.11538
Probability (z>-0.11538) = 1 - 0.4562 (use normal distribution table)
= 0.5438
P(weight will be greater than 174 lb) = 0.5438
The missing length in the right triangle as given in the task content is; 156.
<h3>What is the missing length indicated?</h3>
It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;
x² = 144² + 60²
x² = 20736 + 3600
x² = 24,336
x = √24336
x = 156.
Remarks: The complete question involves a right triangle and the missing length is the longest side.
Read more on Pythagoras theorem;
brainly.com/question/343682
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