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scoundrel [369]
3 years ago
10

Generate the first 5 terms of this sequence:

Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0
<span> f(3) = f(2) + f(1) => 3 + 2 = 5

f(4) = f(3) + f(2) => 5 + 3 = 8

f(5) = f(4) + f(3) => 8 + 5 = 13

Therefore the sequence is 2, 3, 5, 8, 13,.....a Fibonacci sequence.

:)
:)
</span>
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Cholesterol levels for a group of women aged 30-39 follow an approximately normal distribution with mean 190.14 milligrams per d
Anettt [7]

Answer:

Step-by-step explanation:

Hello!

X: Cholesterol level of a woman aged 30-39. (mg/dl)

This variable has an approximately normal distribution with mean μ= 190.14 mg/dl

1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:

P(Z≥z₀)= 0.093

-*or*-

P(Z≤z₀)= 0.907

Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:

P(Z≤z₀)= 0.907

Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:

z₀= 1.323

2.

Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:

Z= (X- μ)/δ ~N(0;1)

Z= (X- μ)/δ

Z*δ= X- μ

δ=(X- μ)/Z

δ=(240-190.14)/1.323

δ= 37.687 ≅ 37.7 mg/dl

I hope it helps!

8 0
3 years ago
Geometric shapes are drawn on cards as shown. The cards are placed in a box. A card is randomly selected.
AnnZ [28]

Answer:

5/12

Step-by-step explanation:

This is because there are 12 cards and 5 of the twelve are triangles. So 5/12 is your answer! Hopefully I helped, enjoy your day :)

5 0
2 years ago
The bottom portion of a loading bin is cone shaped. The base radius of this part of the bin is 3.5 feet and the slant height is
jek_recluse [69]

\bf \textit{lateral surface of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} ~~ r=radius\\ sh=\stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=3.5\\ sh=6.5 \end{cases}\\\\\\ LA=\pi (3.5)(6.5)\implies LA\approx71.47 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{sh}{6.5}=\sqrt{r^2+h^2}\implies 6.5=\sqrt{3.5^2+h^2}\implies 6.5^2=3.5^2+h^2 \\\\\\ 6.5^2-3.5^2=h^2\implies \sqrt{6.5^2-3.5^2}=h\implies \sqrt{30}=h \\\\[-0.35em] ~\dotfill

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3.5\\ h=\sqrt{30} \end{cases}\implies V=\cfrac{\pi (3.5)^2\sqrt{30}}{3}\implies V\approx 70.26

7 0
3 years ago
Read 2 more answers
What is the standard deviation for the data given:<br> 5, 10, 7, 12, 0, 20, 15, 22, 8, 2
Ahat [919]

Answer:

6

Step-by-step explanation:

becvause youtvgk

4 0
3 years ago
Xyz divided by xy I really need an answer
NikAS [45]

Answer:

The correct answer is y²x

Step-by-step explanation:

1) Cancle x.

yzy

2) Use product rule: x^a x^b = x^ a+b.

{y}^{2} z

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>y</u><u>²</u><u>z</u><u>.</u>

6 0
3 years ago
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