Ummm I think the answer is 9
Answer:
I think you meant for the plus sign in the second problem to be an = sign so the equation looks like this y=-x+4
If so your answer is A the first graph
I graphed it on desmos calculator
The volume is 60 cubic inches.
To solve, follow the formula Volume = Length · Height · Width. If you are solving without a calculator, simply multiply the length and the height first, then multiply the product of that by the width, 2 / 3.
V = 10 · 9 · 2/3
V = (10 · 9) 2/3
V = 90 · 2/3
<span>V = 60 in.³
</span>
Hope this helps. Good luck! :)
Answer:
STEP 3
Step-by-step explanation:
Francesca drew point (–2, –10) on the terminal ray of angle , which is in standard position. She found values for the six trigonometric functions using the steps below.
A unit circle is shown. A ray intersects point (negative 2, negative 10) in quadrant 3. Theta is the angle formed by the ray and the x-axis in quadrant 1.
Francesca made her first error in step 3 because the sine, cosine, and tangent ratios are incorrect, which also resulted in incorrect cosecant, secant, and tangent functions.
please mark me brainlyest <i cant spell it >
Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97. But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,
μ = 97
Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions. This means the standard deviation of the average x is
σ = 17/√n
We want to be 95% certain
97 - 5 ≤ x ≤ 97 + 5
By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that
μ - 2σ ≤ x ≤ μ + 2σ
Comparing to what we want, that's means we have to solve
2σ = 5
2 (17/√n) = 5
√n = 2 (17/5)
n = (34/5)² = 46.24
We better round up.
Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean
