1. X = \frac{35}{4}+\frac{\left( -3\right) \ Y}{4}+\frac{z}{2}$$
Answer:
10.5 inches
Step-by-step explanation:
The length of the longest diagonal is across two opposite points of the solid, namely
L = sqrt ( 6^2 + 5^2 + 7^2)
= sqrt (36+25+49)
= sqrt(110)
= 10.5"
Answer:
- The angle ∠2 = 4x = 4(36°) = 144°
Step-by-step explanation:
We know that when two lines meet or intersect, we get a linear pair of angles.
Linear pairs are basically two adjacent angles that form a line.
The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.
We are given that <1 and <2 forms a linear pair, and
m∠1 = 4m∠2
It means the angle ∠1 is 4 times the measure of angle ∠2.
Let the angle ∠1 be = x
As the angle 1 is 4 times the measure of angle ∠2, so
The angle 2 will be = 4x
As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so
x + 4x = 180
5x = 180
divide both sides by 5
5x/5 = 180/5
x = 36°
Therefore,
- The angle ∠2 = 4x = 4(36°) = 144°
Answer:
273.94 hours.
Step-by-step explanation:
1 day = 0.75 hours of practicing in a day.
365.25 = x
1/365.25 = 0.75/x Cross multiply
x = 0.75 * 365.25 Combine
x = 273.94 hours
Answer:
The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 160 degrees
Standard Deviation, σ = 5.4 degrees
We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.2
Calculation the value from standard normal z table, we have,
Thus,
The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.
