Answer: D. 0.306
Step-by-step explanation:
Assuming a normal distribution for the annual salary for intermediate level executives, the formula for normal distribution is expressed as
z = (x - u)/s
Where
x = annual salary for intermediate level executives
u = mean annual salary
s = standard deviation
From the information given,
u = $74000
s = $2500
We want to find the probability that the mean annual salary of the sample is between $71000 and $73500. It is expressed as
P(71000 lesser than or equal to x lesser than or equal to 73500)
For x = 71000,
z = (71000 - 74000)/2500 = - 1.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.1151
For x = 73500,
z = (73500 - 74000)/2500 = - 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.4207
P(71000 lesser than or equal to x lesser than or equal to 73500) is
0.4207 - 0.1151 = 0.306
Answer:
Check explanations
Step-by-step explanation:
For all real numbers a,b, and c, the distributive property states that:
For Part A, we have
Or
For Part B, we have
-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x
This simplifies to:
-4(3x-10)+5(2-6x)=-12x+40+10-30x
-4(3x-10)+5(2-6x)=-12x-30x+40+10
-4(3x-10)+5(2-6x)=-42x+50
For the C part, we have:
For Part D, we have:
We simplify to get:
Simplify further to get:
Answer:
John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).
The actual unit rate for his trip is v;
v = 70 miles ÷ 2 hours
v = 35 miles per hour
v = 35mph
Step-by-step explanation:
Given;
John travels 70 miles in 2 hours
John's determination incorrect because he didn't give a unit rate which is miles per hour (mph).
The actual unit rate for his trip is;
v = 70 miles ÷ 2 hours
v = 35 miles per hour
v = 35mph
Answer:
$5,537.5
Step-by-step explanation:
So the simple interest formula is A=P(1+rt). T meaning the time (in this case 5 years), P meaning the original amount you put in ($5000), and R meaning the interest rate (2.15%). So if we put those all in 5000(1+2.15x5) it would be 58,750
Answer:
156 cm²
Step-by-step explanation:
Area of Triangle
= 1/2 * b * h
= 1 /2 * (17 - 9) * 12
= 6 * 8
= 48 cm²
Now
Area of parallelogram
= b * h
= 9 * 12
= 108 cm²
Total area
= (48 + 108) cm²
= 156 cm²