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3 years ago

URGENT HELP PLEASE: What are the values of a1 and r of the geometric series?

Mathematics

1 answer:

lawyer [7]3 years ago

6 0

Answer:

Third option is the correct choice.

Step-by-step explanation:

$a_1$ is the first term of the sequence which is given to be 1.

$r$ is the common ration which can be found as:

$r=\frac{3}{1}=3\quad r=\frac{9}{3}=3$

Best Regards!

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Data were collected on random specimens of Yellowfin tuna from 1991 and 2010. For the sample of 231 specimens of Yellowfin tuna,

Molodets [167]

Answer:

95% confidence interval: (0.325 ,0.383)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 231

Sample mean = 0.354 ppm

Sample standard deviation = 0.231 ppm

95% confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 4 and}~\alpha_{0.01} = \pm 1.97$

$0.354 \pm 1.97(\dfrac{0.231}{\sqrt{231}} ) = 0.354 \pm 0.029 = (0.325 ,0.383)$

6 0

3 years ago

The average value of y=v(x) equals 4 for 1≤x≤6, and equals 5 for 6≤x≤8. what is the average value of v(x) for 1≤x≤8 ?

Tomtit [17]

The average value over the interval is the area under the curve divided by the width of the interval.

Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7

Average value = 30/7 = 4 2/7

7 0

3 years ago

Please help I just need the height and area of the triangle 6th grade math

Vesna [10]

Answer:

It looks like you forgot to attach a picture.

Since I cannot answer you're question fully, it will not be a complete solution.

The formula for the area of a triangle is $\frac{1}{2} b \cdot h$ .

Just substitute you're base and height values.

Hope this helps!!!

5 0

3 years ago

The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb

KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

$N(x)= -x^3+45x^2+1000$

where x is the number of inches of rainfall.

$N(x)= -x^3+45x^2+1000$

Differentiating with respect to x

$N'(x)= -3x^2+90x$

Again differentiating with respect to x

$N''(x)=-6x+90$

Now we set N'(x)=0

$-3x^2+90x=0$

$\Rightarrow -3x(x-30)=0$

$\Rightarrow x=0,30$

$N''(0)=-6.0+90=90>0$

$N''(30)=-6.30+90=-90$

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0

3 years ago

Sophie says that if the interior angle of a triangle is 65 degrees and the exterior one is 295 degrees. Comment on her thinking

Yuri [45]

Sophie is correct because 295 + 65 = 360 and 360 is the # of degrees in a full circle

5 0

3 years ago