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Veseljchak [2.6K]
2 years ago
14

How do I solve this. Plz do step by step explanation so I can solve these kind of problems in the future. Thanks

Mathematics
1 answer:
blondinia [14]2 years ago
5 0

Answer:

very hard

this is a really hard problem but ignore the graph and pay attention to the numbers

Step-by-step explanation:

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The sum of the first two terms of an infinite GP is 6 and each term is 5 times the sum of the succeeding termsthen the second te
kozerog [31]

Answer:

\dfrac{6}{7}.

Step-by-step explanation:

It is given that the sum of first two terms of an infinite GP is 6.

nth term of a GP is

a_n=ar^{n-1}

a+ar=6     ...(1)

Each term is 5 times the sum of the succeeding terms.

a_n=5(a_{n+1}+a_{n+2}+...+\infty)

ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)

ar^{n-1}=5ar^n(1+r+r^2+...+\infty)

Divide both sides by a.

r^{n-1}=5r^n(\dfrac{1}{1-r})    [\text{Sum of infinite GP}=\dfrac{a}{1-r}]

\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}

\dfrac{1}{r}=\dfrac{5}{1-r}

1-r=5r

1=6r

\dfrac{1}{6}=r

The common ratio is 1/6.

Put r=1/6 in (1).

a+a(\dfrac{1}{6})=6

6a+a=36

7a=36

a=\dfrac{36}{7}

Second term ar=\dfrac{36}{7}\times \dfrac{1}{6}=\dfrac{6}{7}

Therefore, the second term is \dfrac{6}{7}.

4 0
2 years ago
Can you help me solve this? -x/4<7
Anarel [89]
I think the answer is x>-28
8 0
3 years ago
Read 2 more answers
An insurance company works with two auto repair shops and wants to compare their prices. Company officials randomly select 12 da
Grace [21]

Answer:

C) H0:μd=0 and Ha:μd≠ 0

Null hypothesis: \mu_d = 0

Alternative hypothesis: \mu_d \neq 0

Step-by-step explanation:

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=value for the first shop , y = value for the second shop

The system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

Or equivalently :

Null hypothesis: \mu_d = 0

Alternative hypothesis: \mu_d \neq 0

Since we define the difference d_i=y_i-x_i and we obtain this:

The second step is calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}

The third step would be calculate the standard deviation for the differences, and we got:

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}

The 4 step is calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=t_{calculated}

The next step is calculate the degrees of freedom given by:

df=n-1=12-1=11

Now we can calculate the p value, since we have a two tailed test the p value is given by:

p_v =2*P(t_{(11)}>|t_{calculated}|)

C) H0:μd=0 and Ha:μd≠ 0

5 0
3 years ago
Pls solve 2x/5=6 tnx luuv u guys
Mazyrski [523]

Answer:

x=15

Step-by-step explanation:

2x/5=6

Multiply each side by 5/2 to isolate x

5/2 *2x/5=6*5/2

x = 15

6 0
2 years ago
Read 2 more answers
Percent decreasebetween80 and 70
vagabundo [1.1K]
You basically do 80-70 as the numerator of a fraction which should equal 10 and then the denominater should be 80 so you then do 10 divided by 80 and multiply your answer by 100 Hope This Helps You
5 0
3 years ago
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