Answer:
The angles are 15 degrees, 45 degrees and 120 degrees
Step-by-step explanation:
The triangle has three three sides and three angles. The sum of the angles in a triangle is 180 degrees
Let x = the size of the largest angle of the triangle
Let y = the size of the middle angle of the triangle
Let z = the size of the smallest angle of the triangle.
x + y + z = 180 - - - - -- - - - - - - 1
The size of the largest angle is eight times the size of the smallest angle.
This means
x = 8z
The size of the middle angle is triple the size of the smallest angle. This means
y = 3z
Put x = 8z and y = 3z in equation 1
8z + 3z + z= 180
12z = 180
z = 180/12 = 15
x = 8z = 8×15 = 120
y = 3z = 3 × 15 = 45
Answer:x = 0.028571 cm3
Step-by-step explanation:
I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?
So, let x be the volume in cubit centimeters.
the mass is to the volume is as the mass is to the volume
3.5g /(1 cm3) = 0,1g / (x cm3)
Cross-multiply to get:
3.5x = 0.1
x = 0.1 / 3.5 (divide both sides by 3.5)
x = 0.028571 cm3 (you probably should round this, but diamonds are expensive !)
The probability that Nins goes 0 days is 0.2, the probability that she goes 1 day is 0.50, and the probability that she goes 2 days is 0.30. You can write these data as a table:
where are numbers of days and are probabilities.
The expected value of the number of days per week on which Nina goes to the supermarket is
.
Answer: the expected value of the number of days per week on which Nina goes to the supermarket is 1.1.
Answer:
2 21/13
Step-by-step explanation:
Answer:
We are given:
Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
Since the alternative hypothesis has less than sign, therefore the given hypothesis is left-tailed
What parameter is being tested?
The parameter used is , which denotes the population mean.
Please note:
The type is test determined based on the alternative hypothesis.
If the alternative hypothesis has sign, it means the hypothesis test is two-tailed
If the alternative hypothesis has sign, it means the hypothesis test is right-tailed
If the alternative hypothesis has sign, it means the hypothesis test is left-tailed