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kiruha [24]
3 years ago
12

7 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0

Answer:

Option a. convergent: A

Step-by-step explanation:

a0=3/2

a1=9/8

a2=27/32

a1/a0=(9/8)/(3/2)=(9/8)*(2/3)→a1/a0=3/4

a2/a1=(27/32)/(9/8)=(27/32)*(8/9)→a2/a1=3/4

r=a1/a0=a2/a1→r=3/4

The abosute value of r= !r! = !3/4! = 3/4 = 0.75<1, the series is convergent

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5 0
3 years ago
Read 2 more answers
A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco
sammy [17]

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

<u><em>Let p = proportion of all cars in San Francisco who are blue</em></u>

SO, Null Hypothesis, H_0 : p = 25%   {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 600 cars in San Francisco who are blue =   \frac{141}{600} = 0.235

            n = sample of cars = 600

So, <u><em>test statistics</em></u>  =  \frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }

                               =  -0.866

<em>Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

4 0
3 years ago
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zmey [24]

Answer:

Step-by-step explanation:

Slope = (y2 -y1)/(x2-x1)

y2 = 800, y1 = 400, x2= 4, x1= 2

Slope = (800-400)/(4-2)

= 400/2

= 200calories/hr

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3 years ago
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Answer:

neither

Step-by-step explanation:

the correct answer should be ASA since 2 angles and 1 side is congruent

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3 years ago
The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, whi
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Step-by-step explanation:

A

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