Answer:
x = 5
Step-by-step explanation:
<u>Step 1: Multiply out the brackets</u>
48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>
<u>Step 2: Simplify</u>
8x = 40 →<em> collect like terms</em>
<u>Step 3: Solve</u>
x = 
x = 5
64/1 or 64 heartbeats in 1 minute
Answer:
Company B
Step-by-step explanation:
We would use z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = Standard deviation
let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8
let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4
z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897 = -2.76
z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765 = 2.35
Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a z score of 2.35 compared to company A with a z score of -2.76.
Answer:
h = 15.8
Step-by-step explanation:
200 = 42 + 10h
10h = 200 - 42
10h = 158
h = 15.8
Answer:
108°
Step-by-step explanation:
The area of a sector is given by the formula ...
A = (1/2)r²θ . . . . . where θ is in radians
Solving for θ, we find ...
θ = 2A/r²
For your given sector, the central angle is ...
θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians
π radians is 180°, so the central angle in degrees is ...
θ = (0.6)(180°) = 108°
The central angle measure of the sector is 108°.
