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SashulF [63]
3 years ago
7

Find the common ratio of the geometric sequence 7,63,567, ...

Mathematics
2 answers:
agasfer [191]3 years ago
5 0

Answer: 9

Step-by-step explanation: a, ar, ar^2... a=7, ar=63. solving with substitution gives the common ratio of 9!

Ksju [112]3 years ago
3 0

Answer:

Step-by-step explanation:

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Write An expression of the fourth degree with a leading coefficient of 5, a quadratic term with a coefficient of 3, a linear ter
Svetllana [295]

Answer:

{5x}^{4}  + 3 {x}^{2}  - 8x + 6

Step-by-step explanation:

Math

5 0
3 years ago
Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a
just olya [345]

Answer:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and X \sim Bin(n=600, p =0.4)

And we want this probability:

P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10

n(1-p)=600*(1-0.4)=360 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=600*0.4=240

\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12

And then X \sim N (\mu = 240, \sigma= 12)

And we are interested on the following probability:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

6 0
3 years ago
In Class 1, what is the median score? A) 70 B) 70.5 C) 71.5 D) 72
evablogger [386]

Answer:

B)  70.5

Step-by-step explanation:

Median = middle value when the values are placed in order.

If there are two middle values, the median is the mean of those two values.

<u>Class 1</u>

45 46 51 52 53 53 61 63 64 65 66 68 70 <u>70 71</u> 73 76 77 79 81 82 83 84 87 90 92 93 95

There are 28 values in Class 1.

Therefore, there are two middle values: 14th and 15th values

14th value = 70

15th value = 71

\implies \textsf{Median}=\dfrac{70+71}{2}=70.5

3 0
2 years ago
Read 2 more answers
Can someone help me? I attached the question on here, I could really use some help.
frosja888 [35]
I'd say the bottom answer is the best answer
3 0
3 years ago
Find the product. √5(2+√7) A)2√5+√35 B)√45 C)2√5+2√7 D)√10+√35
OverLord2011 [107]

Answer:

\huge \boxed{2\sqrt{5} +\sqrt{35}}

Step-by-step explanation:

\sqrt{5} (2+\sqrt{7} )

Expand brackets.

\sqrt{5} (2)+\sqrt{5}(\sqrt{7} )

2\sqrt{5} +\sqrt{5} \sqrt{7}

Apply radical rule : \sqrt{a} \sqrt{b} =\sqrt{ab}

2\sqrt{5} +\sqrt{5 \times 7}

2\sqrt{5} +\sqrt{35}

7 0
3 years ago
Read 2 more answers
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