-7x-2y=-13
x= 2y+11 make x or why the subject and substitute it into the first equation.
-7(2y+11)-2y=-13
-14y-77-2y=-13
-16y=64
y=-4
x=-2×-4+11
x=3
B) 8,000.00 I think that bc he only has 7% on it
Answer:
<h2>357°F </h2>
Step-by-step explanation:
Step one:
given data
actual reading= 350°F
thermometer reading 2% of the actual reading
Step two:
Required:
The thermometer reading
let us find 2% of 350°F
2/100*350°
=0.02*350
=7°F
Hence the thermometer reading is 7°F greater than 350°F
The thermometer reading is 350+7=357°F
Answer:
within ±1.96 standard deviations of the sample mean
Step-by-step explanation:
A 95% confidence interval is found using the formula C = 1 - α, and some other stuff, but let's focus on that for now. Using the formula:
.95 = 1 - α
α = .05
If α = .05, that means a 2-sided confidence interval would be found using the sample mean and the Z-score Z(subscript α/2), or Z.₀₂₅ because α AKA .05 divided by 2 = .025. From there, you take this either to your calculator or a Z-table (or perhaps you have a chart that lists the common CI values), and see that for the area to be .025 beneath a standard normal curve, your Z value is ±1.96 ("plus or minus" because we're considering a 2-sided confidence interval).
Answer:
25 in and 9 cm
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side
A
x² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
x = 
= 25
B
x² + 12² = 15²
x² + 144 = 225 ( subtract 144 from both sides )
x² = 81 ( take square root of both sides )
x = 
= 9
