<span>The workbench represents a rectangle with two sides 5 feet long each and two sides 3 feet wide each. The perimeter of said rectangle is the sum of the four sides or 5 + 5 + 3 + 3 for a total of 16 feet. therefore the amount of metal tape required is 16 feet.</span>
Answer:
10 minutes
Step-by-step explanation:
Mario can eat e21 hot dog in 6 minutes
Let 35 hot dog eats in x minutes :
Therefore, mario would eat 35 dogs in 10 min.
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
<span>The difference between constructing and drawing geometric figures:
</span>Drawing Geometric Figures refers to drafting, in which you are trying to create or sketch geometric figures using ruler, paper, etc.
While constructing geometric figure refers to constructing or building a geometric figure with the use of compass, graph paper, etc.
Answer:
f(3) just means to substitute 3 in for x.
Step-by-step explanation:
f(3) just means to substitute 3 in for x.
f
(
3
)
=
−
2
Explanation:
f
(
3
)
=
−
(
3
)
2
+
7
According to the order of operations, first square the 3, which is 9.
f
(
3
)
=
−
9
+
7
The negative sign in front of the x squared is equivalent to multiplying by negative one.
Add -9 and 7 together, which is -2
So,
f
(
3
)
=
−
2
