Find the sum of the following series. Round to the nearest hundredth if necessary,

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

$sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9$

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Study guide help?

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

Garrett achieves a field goal is independent of each kick. Hence X no of kicks is binomial with p = 0.83, and q =0.17

No of trials 3

Hence X can take values as 0 ,1,2,3 and

$P(X=r) = 4Cr(0.83)^r (0.17)^{4-r}$

, r=0,1,2,3

Using the above we obtain prob distribution as

X 0 1 2 3

P(X) 0.0049 0.0720 0.3513 0.5718

P(X>=2) =P(X=2,3,4) =0.9231

-----------------------------------------

2) Z value for company A = $\frac{260-272}{5.4} =-2.22$

Z value for company B = $(260-249)/3.8 =2.89$

From z value probablility is more for company A as

P(Z>-2.22) >P(Z>2.89)

8 0

3 years ago

Which one is right triangle angle a. 45, 55 and 35 b. 52, 48 and 20

Gemiola [76]

<h2>option b. 52, 48 and 20</h2>

Step-by-step explanation:

let's solve:-

To test whether given this triangle is right triangle or not, we can use the Pythagorean Theorem .

soo

Pythagorean Theorem=

$\bold \green{(leg1)^{2} +(leg2)^{2} =(hypotenuse)^{2} }$

Here:-

$\bold \blue{leg \: 1 = 48} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold \blue{ leg2 = 20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold\blue{hypotenuse = 52}$