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4 years ago

Choose the most correct statement given that Quadrilateral ABCD has vertices A(2, 1), B(2, 4), C(7, 4), and D(6, 1)?

Mathematics

1 answer:

Fofino [41]4 years ago

8 0

Answer:

Number 3 seems most reasonable to me

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Find S15 for the geometric series 72 + 12 + 2 + +…

Sedbober [7]

$S_{15}=72+12+\cdots+\dfrac1{181398528}+\dfrac1{1088391168}$
$S_{15}=72\left(\dfrac16\right)^0+72\left(\dfrac16\right)^1+\cdots+72\left(\dfrac16\right)^{13}+72\left(\dfrac16\right)^{14}$
$S_{15}=72\displaystyle\sum_{i=1}^{15}\left(\frac16\right)^{i-1}$

$\dfrac16S_{15}=72\displaystyle\sum_{i=1}^{15}\left(\frac16\right)^i$

$\implies S_{15}-\dfrac16S_{15}=72\displaystyle\sum_{i=1}^{15}\bigg(\left(\dfrac16\right)^{i-1}-\left(\dfrac16\right)^i\bigg)$
$\dfrac56S_{15}=72\bigg(\left(1-\dfrac16\right)+\left(\dfrac16-\dfrac1{6^2}\right)+\cdots+\left(\dfrac1{6^{13}}-\dfrac1{6^{14}}\right)+\left(\dfrac1{6^{14}}-\dfrac1{6^{15}}\right)\bigg)$
$\dfrac56S_{15}=72\left(1-\dfrac1{6^{15}}\right)$
$S_{15}=\dfrac{432}5\times\dfrac{6^{15}-1}{6^{15}}=86.4$

6 0

3 years ago

Use the given information to find the minimum sample size required to estimate an unknown population mean μ

Nastasia [14]

Answer:

Step-by-step explanation:

Margin of error = E = $ 120

Confidence Level = 95%

The z-score for 95% confidence level from the z-table = z = 1.96

Population standard deviation = σ = $593

Sample size = n = ?

The formula to calculate the margin of error is:

$E=\frac{z \sigma}{\sqrt{n} }$

Re-arranging the equation, we get:

$\sqrt{n}=\frac{z \sigma}{E}\\\\ n = (\frac{z \sigma}{E})^{2}$

Using the given values in above equation, we get:

$n=(\frac{1.96 \times 593}{120} )^{2}\\\\ n = 93.8$

Rounding of to next higher integer, we get n = 94

Thus, we need a sample size of 94 to estimate an unknown population mean μ

4 0

3 years ago

Can some one help me

RSB [31]

Try A. Because the data is more spread out than Brand Y. This is just my guess, but I tried.

8 0

3 years ago

You tell your dad that you want ₹800 as pocket-money every month. He can deposit some money in the bank such that the interest h

mr_godi [17]

160,000 because you need to first multiply 800 by 12 since it is from a year (annum) to months you should get 9,600 then rather than multiplying by 0.06 to find 6% we divide to find what it is 6% of.

8 0

3 years ago

Solve for z<br><br> -p(51+z)=dz+84

kotykmax [81]

Answer:

z = -(84+51p)/(p+d)

Step-by-step explanation:

-p(51+z) = dz + 84

-51p - pz = dz + 84

-pz-dz = 84 + 51p

z(-p-d) = 84 + 51p

z = 84 + 51p/[-(p+d)]

z = - (84 + 51p) / (p+d)

7 0

4 years ago