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3 years ago

Find the 20th term of the geometric sequence when A1=2 and r=2

Mathematics

1 answer:

labwork [276]3 years ago

8 0

A_n= a₁ rⁿ⁻¹

a₁ is the first term

r= common ratio

a_n=2(2)²⁰⁻¹= 1048576

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What is 2.23 as a fraction

Bezzdna [24]

2.23 as a fraction would be 2 and 23/100. Since the "3" is in the hundredths place, the fraction has to be over 100. The 2 in front of the decimal point (.) is the whole number. That means 2.23 as a fraction would be 2 and 23/100.

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4 years ago

Read 2 more answers

SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin

laila [671]

34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

Empirical rule to determine the percent:

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$$Z(X)=\frac{x-\mu}{\sigma}$

$$Z(433)=\frac{433-\ 433}{90}=0$

$$Z(523)=\frac{523-\ 433}{90}=1$

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. $((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%$

Here μ to μ + σ = $\frac{68\%}{2} =34\%$

Hence 34% of the scores lie between 433 and 523.

8 0

3 years ago

The value of Maggie's car decreased by 20% since last year, when she bought it. If the car is now worth $20,000.00, how much was

Stella [2.4K]

20,000 = 80% of the original price so 20,000 divided by 80 = 250 then multiply that by 100 equals 250000 which is the original price

hope this helps !

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3 years ago

Organize your data and find the rate of change.

LuckyWell [14K]

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E is 8 1/2 inches for the left foot
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B. find the difference in y, then the difference in x, then divide (y over x) to get the slope
8-7/7 1/2-6 1/2 = 1/1 =1

C.you plug in any (x,y) point you used to find the slope
Solve for B
y = mx+b y = 1*x + b 7.5 = 1*8 + b b =
7.5 - 8 = -0.5
y = x - 0.5

Hope this helps

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3 years ago

Please help me answer the question in the picture!

Slav-nsk [51]

Answer:

x = 5 units.

Step-by-step explanation:

In a parallelogram. diagonals bisect each other.

This means $\overline{CE} = \overline{BE}$ .