Answer:
Number 4: Using Pythagoras Theorem,

Number 5:

3:
It is a right triangle
4:
Not a right triangle
For the last one:

Rounded down (because the answer needs to be a whole number) is 21
Answer:
The difference between the two weekly salaries is $122
Step-by-step explanation:
One job pays $64,600 per year. Since there are 52 weeks in a year, the weekly salary for this job is the quotient: $64600/52 = $1242.31 which rounded to the nearest dollar gives: $1242 per week
The other job pays $1120 per week. Therefore the difference in weekly salary for the two is:
$1242 - $1120 = $122
it should be 3+(-7) because look at the number closest to the number line, which is positive 3 then the number next to it is negative 7 because it is heading downward towards the opposing side.
Answer:
3
Step-by-step explanation:
All you have to do is take that bottom dot and count how many the rise is ----3 and how many the run is -----1.
Therefore, 3/1 is 3
Answer:
Step-by-step explanation:
Hello!
X: the lifespan of a new computer monitor of Glotech.
The average life is μ= 85 months and the variance δ²= 64
And a sample of 122 monitors was taken.
You need to calculate the probability that the sample mean is greater than 86.6 months.
Assuming that the variable has a normal distribution X~N(μ;δ²), then the distribution of the sample mean is X[bar]~N(μ;δ²/n)
To calculate this probability you have to work using the sampling distribution and the following formula Z= (X[bar]-μ)/δ/√n ~N(0;1)
P(X[bar]>86.6)= 1 - P(X[bar]≤86.6)
1 - P(Z≤(86.6-85)/(8/√122))= 1 - P(Z≤2.21)= 1 - 0.98645= 0.013355
The probability of the sample mean is greater than 0.013355
I hope this helps!