Answer:
not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem to see if it is a right triangle
a^2 + b^2 = c^2
15^2 + 12^2 = 21^2
225 + 144 = 441
369 = 441
This is not true so it is not a right triangle
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: number of daily text messages a high school girl sends.
This variable has a population standard deviation of 20 text messages.
A sample of 50 high school girls is taken.
The is no information about the variable distribution, but since the sample is large enough, n ≥ 30, you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal:
X[bar]≈N(μ;δ²/n)
This way you can use an approximation of the standard normal to calculate the asked probabilities of the sample mean of daily text messages of high school girls:
Z=(X[bar]-μ)/(δ/√n)≈ N(0;1)
a.
P(X[bar]<95) = P(Z<(95-100)/(20/√50))= P(Z<-1.77)= 0.03836
b.
P(95≤X[bar]≤105)= P(X[bar]≤105)-P(X[bar]≤95)
P(Z≤(105-100)/(20/√50))-P(Z≤(95-100)/(20/√50))= P(Z≤1.77)-P(Z≤-1.77)= 0.96164-0.03836= 0.92328
I hope you have a SUPER day!
Answer: The team's win-loss record that year is 1.7
Step-by-step explanation:
During the 2017 Major League Baseball season the Cleveland Indians played 162 games.
Let x = the number of games that the
Cleveland Indians lost during the 2017 Major League Baseball season.
This means that the number of games that the Cleveland Indians won during the 2017 Major League Baseball season would be x + 42.
Total number of games played = sum of games won + sum of games lost. This is expressed as
162 = x + 42 + x
2x + 42 = 162
2x = 162-42 = 120
x = 120/2 = 60
Number of games that the Cleveland Indians lost during the 2017 Major League Baseball season is 60
The number of games that the Cleveland Indians won during the 2017 Major League Baseball season is 60 + 42 = 102
The team's win-loss record that year
would be wins/loses
= 102/60 = 1.7
Answer:
5
Step-by-step explanation:
6/2 = 3
because the triangle is halved
use pythagorus 3²+4²=25
√25 = 5
so x=5
Answer:
7
Step-by-step explanation:
