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lana [24]
3 years ago
13

Answer each of the questions for the following diagram:

Mathematics
1 answer:
sweet [91]3 years ago
5 0

Answer:

1.  Complimentary angles

2.  3x+20 = 10x-15: x = 5

3.  I'm not sure on part 3, sorry.



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The velocity v of the flow of blood at a distance r from the central axis of an artery of radius R is given below, where k is th
andrew11 [14]
The average rate of blood flow is given by

\displaystyle\frac1{R-0}\int_0^Rv(r)\,\mathrm dr=\frac kR\int_0^R(R^2-r^2)\,\mathrm dr
=\dfrac kR\left(R^2r-\dfrac13r^3\right)\bigg|_{r=0}^{r=R}
=\dfrac kR\left(R^3-\dfrac13R^3\right)
=\dfrac{2kR^2}3
3 0
3 years ago
Fifty eight students were surveyed about how frequently they text during lunch. The results are summarized below. Which statemen
umka2103 [35]

Answer:The median number is 9 , Q3 is 11, data is skewed left, lowest 25%

Step-by-step explanation:

4 0
3 years ago
The wheel of the Singapore Flyer is a circle with a diameter of 150 metres. Calculate the circumference of the wheel. Give your
Andrews [41]

Answer:

circumference is given by πd, where d is the diameter of the circle.

This implies, the circumference= 22/7*150m

=3300/7=471.429m

4 0
2 years ago
The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be
densk [106]

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

6 0
3 years ago
For the given statement Pn, write the statements P1, Pk, and Pk+1.
Leno4ka [110]

Answer:

P_{1} =  2

P_{k} = k(k+1)

P_{k+1} = (k+1)(k+2)

Step-by-step explanation:

We are given the statement,

P_{n} as 2 + 4 + 6 + . . . + 2n = n(n+1)

That is,

P_{n} as 2 + 4 + 6 + . . . + 2n = \sum_{i=1}^{n}2i

So, we have,

P_{1} = \sum_{i=1}^{1}2i = 2

P_{k} = \sum_{i=1}^{k}2i = 2 + 4 + 6 + . . . + 2k = k(k+1)

P_{k+1} = \sum_{i=1}^{k}2i = 2 + 4 + 6 + . . . + 2k + 2(k+1) = (k+1)(k+2)

Thus, we get,

P_{1} =  2

P_{k} = k(k+1)

P_{k+1} = (k+1)(k+2)

7 0
3 years ago
Read 2 more answers
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