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svp [43]
3 years ago
9

Find the sum of the first 6 terms of the following series, to the nearest integer.

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

Answer:

1008

Step-by-step explanation:

geometric sequence:

a=16

r=32/16=2

Sum of GS:

s=a(1-r^n)/(1-r)

S(6)=16(1-2^6)/(1-2)

=1008

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The weather forecast for the weekend is a 34% chance of rain for Saturday and a 32% chance of rain for Sunday. If we assume that
kaheart [24]

Answer:

P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088

And then replacing in the total probability formula we got:

P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512

And rounded we got P(A \cup B ) = 0.551

That represent the probability that it rains over the weekend (either Saturday or Sunday)

Step-by-step explanation:

We can define the following notaton for the events:

A = It rains over the Saturday

B = It rains over the Sunday

We have the probabilities for these two events given:

P(A) = 0.34 , P(B) = 0.32

And we are interested on the probability  that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

P(A \cup B)

And for this case we can use the total probability rule given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

And since we are assuming the events independent we can find the probability of intersection like this:

P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088

And then replacing in the total probability formula we got:

P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512

And rounded we got P(A \cup B ) = 0.551

That represent the probability that it rains over the weekend (either Saturday or Sunday)

6 0
3 years ago
PLEASE HELP QUICK
KATRIN_1 [288]

1) The probability of getting a queen is 187/10000 which is 0.0187 = 1.87%


2) The probability is 449 / 479 which is 0.937 = 93.7%


You may need to round the answers. It doesn't say if they need to be rounded or not.

8 0
3 years ago
Read 2 more answers
Find the values of x and y that satisfy the equation.
HACTEHA [7]

Answer:

x=-5-2yi/3+4i

y=3xi/2+6+15i/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
3 years ago
Need help with these two questions
MAVERICK [17]
744848848484848484848
5 0
3 years ago
Which of the following equations does not represent a linear relationship between x and y
Ksenya-84 [330]

A linear relationship is an equation that has a constant slope

The equation that does not represent a linear relationship is (b) y = 2x^2 + 5x

<h3>How to determine the non-linear relationship</h3>

A linear equation can take any of the following forms:

y = mx + b

y - y1 = m(x - x1)

Ax + By = c

Any form different from the above forms is not a linear equation

Using the above format as a guide, the equation that does not represent a linear relationship is (b) y = 2x^2 + 5x

Read more about linear relationships at:

brainly.com/question/15602982

7 0
3 years ago
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