Answer:
1. 60
2. true
3.false
Step-by-step explanation:
1. All the angles in an equilateral/equiangular triangles have the same side length and the same angle, since all the angles in a triangle add up to 180 degrees, 180 divided by 3 is 60
2 and 3. An isosceles is a triangle with two equal sides. The angles opposite the equal sides are also equal. An equilateral triangle has sides of the same length.
Let the number of days be x.
Jameer paints 1 wall in 3 days. In 1 day, he paints 1/3 of a wall. In x days, he paints (1/3)x walls.
June paints 2 walls in 5 days. In 1 day, she paints 2/5 of a wall. In x days, she paints (2/5)x walls.
Working together, in x days they paint (1/3)x + (2/5)x walls.
We want to know the number of days they will take to paint 10 walls, so we let the expression equal 10.
(1/3)x + (2/5)x = 10
(5/15)x + (6/15)x = 10
(11/15)x = 10
x = 10 * 15/11
x = 150/11
It will take 150/11 days which is the same as 13.6363... days or approximately 13.6 days.
Answer is 9.5 First find DC by doing the Pythagorean theorem
BC is 3 BD is 5
So 3^2+ DC= 5^2
9+____=25
So DC is 4 cuz 4times 4=16
Now add AD+DC=AC
5+4=9
So BC is 3 the bottom AC is 9
3^2+9^2= 9+81=90 the sq rt of 90 is 9.5
Answer:
The null hypothesis
The alternative hypothesis
Step-by-step explanation:
The summary of the given statistics is:
Population Mean = 26,500
Sample Mean = 30,150
Standard deviation = 10560
sample size = 24
The objective is to state the null hypothesis and the alternate hypothesis.
An hypothesis is a claim with insufficient information which tends to be challenged into further testing and experimentation in order to determine if such claim is significant or not.
The null hypothesis is a default hypothesis where there is no statistical significance between the two variables in the hypothesis.
The alternative hypothesis is the research hypothesis that the researcher is trying to prove.
The null hypothesis
The alternative hypothesis
The test statistic can be computed as follows:
z = 1.6933
Answer:
84.9%
Step-by-step explanation:
First we need to calculate the total number of people. Total number of people will be the sum of all the given frequencies of all classes. There are 9 classes in total that are shown on the histogram
So,
Total number of people = 40 + 40 + 35 + 35 + 25 + 25 + 25 + 25 + 15 = 265
Now we need the number of people who took less than 40 seconds. This will be equal to sum of all frequencies below the time 40 seconds. i.e.
Number of people who took less than 40 seconds = 40 + 40 + 35 + 35 + 25 + 25 + 25 = 225
Formula to calculate percentage is:
So, percentage of people who took less than 40 seconds =
Thus, 84.9% of people took less than 40 seconds to complete the task.