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Anettt [7]
2 years ago
12

What is ∑n=15[5(−2)n−1] equal to?

Mathematics
1 answer:
kicyunya [14]2 years ago
6 0

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

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6) The amount of Jen's monthly phone bill is normally distributed with a mean of $70 and a standard
alexandr402 [8]

Answer:

i)The correct option is  D.) 99.74%

ii) The correct option is B.) 68.26%

Step-by-step explanation:

i) P(10≤X≤70) = P(  (10−40)/10  ≤Z≤   (70−40 )/10 ) =  Pr(−3≤Z≤3)

= 0.9987 - 0.0013 = 0.99734

Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%

ii)P(2.1≤X≤3.1) = P(  (2.1 − 2.6) /0.5   ≤ Z  ≤ (3.1−2.6 )/0.5)  =  Pr(−1  ≤Z  ≤1) )

=  0.8413 − 0.1587  =  0.6826

Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%

5 0
3 years ago
What is 8 1/4 divided by 3 1/2?
rusak2 [61]

Answer:

2 5/14

Step-by-step explanation:

6 0
3 years ago
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the trar
Citrus2011 [14]

Answer:

(x, y) → (x - 3, y + 5 )

Step-by-step explanation:

A shift of 3 units to the left means subtract 3 from the original x- coordinate.

A shift of 5 units up means add 5 to the original y- coordinate.

Thus the rule representing the translation is

(x, y ) → (x - 3, y + 5 )

6 0
3 years ago
Read 2 more answers
Can someone help me with this? Last one is -1/4 btw
Leya [2.2K]
2 because rise/run so 8/4 which=2
5 0
2 years ago
A circle has an equation (x+2)2+(y−5)2=64. What is 34 of its area.
skad [1K]

Answer:

3/4 of the area of the circle is of 48\pi squared units.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

(x - x_0)^2 + (y - y_0)^2 = r^2

In which the center is (x_0,y_0) and r is the radius.

Area of a circle:

The area of a circle of radius r is given by:

A = \pi r^2

Circle (x+2)² + (y-5)² = 64

Comparing with the standard equation, we have that:

r^2 = 64

Area of the circle:

A = \pi r^2 = 64\pi

What is 3/4 of its area?

\frac{3A}{4} = \frac{3*64\pi}{4} = 3*16\pi = 48\pi

3/4 of the area of the circle is of 48\pi squared units.

8 0
3 years ago
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