Answer:
x = 23
Step-by-step explanation:
surface area of a cube = 6s²
Side length, s = x - 5
Surface area of the cube = 1944 units²
What is the value of x?
surface area of a cube = 6s²
1944 = 6(x - 5)²
1944/6 = (x - 5)²
324 = (x - 5)²
324 = x² - 10x + 25
x² - 10x + 25 - 324 = 0
x² - 10x - 299 = 0
Solve quadratic equation using factorization
(x + 13) (x - 23) = 0
x + 13 = 0 or x - 23 = 0
x = -13 or x = 23
The side length can not be negative
Therefore, x = 23
Answer:
1/64
Step-by-step explanation:
Given the expression
3+4√4y = 4
4√4y = 4-3
4√4y = 1
√4y = 1/4
Square both sides
(√4y)²= (1/4)²
4y = 1/16
y = 1/16 * 1/4
y = 1/64
Hence the value of y is 1/64
Answer:
<h2>9.2</h2>
Step-by-step explanation:
The distance formula is:
-4 - 2 = -6 squared = 36
4 - -3 = 7 squared = 49
36 + 49 = 85
about 9.2
I'm always happy to help :)
Answer:
Acute isosceles triangle!
Step-by-step explanation:
Hope this helps! :]
Answer:
Step-by-step explanation:
Let x be the random variable representing the height of players on the football team. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 74 inches
σ = 1 inch
n = 50
x = 74 inches
the probability that a player is less than 74 inches tall is expressed as
P(x < 74)
For x = 74,
z = (74 - 74)/(1/√50) = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
Therefore,
P(x < 74)
The players less than 74 inches is
0.5 × 50 = 25 players
