Answer:
log 12 = 1.0791
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the logarithmic function is log12
We will apply the formula
log by = log b + log y
log xⁿ = n log x
<u><em>Step(ii):-</em></u>
log 12 = log 4 × 3
= log 4 + log 3
= log 2² + log 3
= 2 log 2 + log 3 (∵ log xⁿ = n log x)
= 2× 0.3010 + 0.4771
= 1.0791
9514 1404 393
Answer:
y = 5/3x -5
Step-by-step explanation:
The slope is the ratio of "rise" to "run" for the line. Here, marked points are 5 units apart vertically and 3 units apart horizontally. The slope is ...
m = rise/run = +5/3 = 5/3
There is a marked point on the y-axis at y = -5. That is the y-intercept. Then your equation is ...
y = mx + b . . . . . line with slope m and y-intercept b
y = 5/3x -5 . . . . . line with slope 5/3 and y-intercept -5
Answer:
The answer would be -5. Hopefully I'm not wrong.
Answer:
D. 127
Step-by-step explanation:
Because our spinner is split up evenly 8 ways, we a have a 1/8th chance of getting 6 with any given spin. We will want to pick the number that is the closest to one 1/8th of 1104 from our options at the right.
Let's check them one by one. Note that 1/8 as a decimal is .125, if you are using a calculator to do this problem, decimals will be fastest and we'll work with those here.
A) 291/1104 = .264
B) 117/1104 = .106
C) 209/1104 = .189
D) 127/ 1104 = .115
Our closest number to .125 (ie, 1/8th) is .115. or 127 out of 1,104 spins.
Answer:
The scores are between 50 and 90
Step-by-step explanation:
When we say middle 95%, we means that this value falls between 2 standard deviations of the mean i.e
μ ± 2σ
Hence,
mean of 70 and a standard deviation of 10
μ ± 2σ
μ - 2σ
70 - (2 × 10)
= 70 - 20
= 50
μ + 2σ
= 70 + (2 × 10)
= 70 + 20
= 90
