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PilotLPTM [1.2K]
3 years ago
9

Can someone help with #5 above and provide steps? I will give brainliest!

Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

  5461

Step-by-step explanation:

You can recognize this as the sum of 7 terms of a geometric series with first term 1 and common ratio 4.

That sum is given by ...

  S_n=a_1\cdot\dfrac{r^n-1}{r-1}

where a1 is the first term and r is the common ratio.

Filling in the numbers, we have ...

  S_7=1\cdot\dfrac{4^7-1}{4-1}=\dfrac{16384-1}{3}=5461

The sum is 5461.

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According to the graph, what is the value of the constant in the equation<br> below?
Angelina_Jolie [31]

Answer:

b. .5

Step-by-step explanation:

the question gives you an equation the find the constant. all you do is plug the numbers in.

hope this helped !!

6 0
3 years ago
the following data values represent a population. what is the variance of the values? 17, 5, 11, 1, 11
Vladimir [108]
Variance = summation of (x - mean)^2 all divided by the number of dataset.
mean = (17 + 5 + 11 + 1 + 11)/5 = 9

Variance = [(17 - 9)^2 + (5 - 9)^2 + (11 - 9)^2 + (1 - 9)^2 + (11 - 9)^2]/5 = (8^2 + (-4)^2 + 2^2 + (-8)^2 + 2^2}/5 = (64 + 16 + 4 + 64 + 4)/5 = 152/5 = 30.4
4 0
3 years ago
The ratio of boys to girls in Mrs. Ronilo's class is 3 to 1. What PERCENT of the class is girls.
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5 0
3 years ago
Angle DEB is 42. State the size of angle ABD
Kay [80]

Answer:

The answer would be 80 ° because 5×( 2 + 13 or x +1 ) is 80

Step-by-step explanation:

ABD is 80°

If DEB is 42 °

∠ ABD = 5(2X+1)

∠ DBC = 3X+6

∠ EBC = Y +135/2

∠ ABD and ∠ DBC are linear pairs

∴ ∠ ABD +∠ DBC = 180

∴ 5(2X+1) + 3X+6 =180

solve for x

∴ x = 13

∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135

 ∠ DBC = 3x+6  = 3*13+6 = 45

∠ ABD  and ∠ EBC are vertical angles

∴ ∠ ABD = ∠ EBC = 135

∴ y +135/2 = 135

∴ y = 135/2

5 0
3 years ago
In a race, Brian Collins has to cross 10 hurdles. The probability that he clears a hurdle is 2/3. Find P(clears all hurdles).
Gnom [1K]

Answer:

1024/59049

Step-by-step explanation:

P( clear hurdle) = 2/3

There are 10 hurdles

P ( clear all hurdles) = P( clear hurdle) * P( clear hurdle)...... 10 times

                                 = 2/3 * 2/3 *....... 10 times

                                  = (2/3) ^ 10

                                  =1024/59049

5 0
3 years ago
Read 2 more answers
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