Answer:
Step-by-step explanation:
For the null hypothesis,
µ = 60
For the alternative hypothesis,
h1: µ < 60
This is a left tailed test
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100,
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 52
µ = population mean = 60
s = samples standard deviation = 22
t = (52 - 60)/(22/√100) = - 3.64
We would determine the p value using the t test calculator. It becomes
p = 0.00023
We would reject the null hypothesis if α = 0.05 > 0.00023
Answer:
After 5 minutes, the pool will hold 249,00 gallons of water.
After 20 minutes, the pool will hold 246,000 gallons of water.
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
Answer:
$406
Step-by-step explanation:
Step one:
given data
Cakes and More baked 1,450 chocolate chip cookies
The bakery sold them in boxes of 25 cookies each
The number of boxes will be
1450/25
=58 boxes
Step two:
The cost per box is $7
hence the cost of 58 boxes will be
=7*58
=$406
Answer:
The 3 possible values of x are;
6, 4 and 2
Step-by-step explanation:
If the triangle is isosceles, then two of the sides must be equal
So we equate the sides, 2 at a time to get the different values of x
3x + 4 = 2x + 10
3x-2x = 10-4
x = 6
3x + 4 = x + 12
3x-x = 12-4
2x = 8
x = 8/2 = 4
2x + 10 = x + 12
2x - x = 12-10
x = 2
