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Vitek1552 [10]
3 years ago
5

Can sum1 help me with this question

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

Answer:

Second option is the correct choice.

Step-by-step explanation:

Thanks!

larisa86 [58]3 years ago
6 0
Height of the balls after two bounces is

52/100 × (0.52 ×0.5) = 0.52 × 0.52 × 0.5
= 0.52^2 × 0.5 m

Therefore the series turns into 0.5,0.5(0.52),0.5(0.52)^2,....

So by finding the height f(n) after n bounces would be
f(n) = 0.5(0.52)^n-1

To get the height of the ball of the third path, we need to put n=3

f(3)= 0.5(0.52)^3-1
=0.5(0.52)^2
=0.14m

Answer: B ) 0.5 × (0.52)^n-1 ; 0.14m
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True [87]

Answer:

Shift f(x) = 6' seven units to the left and five units down.

Step-by-step explanation:

6 0
3 years ago
3/5 of Jill's 30 page photo album is full. She wanted to set aside 1/4 of the pages that are in there for vacation. How many pag
ElenaW [278]
4 and a half to fill 30 in total minus the ones already used 30 - 18 = 12 A forth of the pages she wants to save which is about 7.5 of the total 12 - 7.5 Means she only has 4.5 pages left to use before she starts using her extra vacation pages
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3 years ago
Total surface area of this shape
skelet666 [1.2K]

Answer:

6 * 10 * 6

Step-by-step explanation:

6 0
3 years ago
Find the equation of the line that is parallel to the given line and passes through the given point. y=0,5x-2;(-2,1)
Mashcka [7]

Answer:

y = 0.5x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 0.5x - 2 ← is in slope- intercept form

with slope m = 0.5

Parallel lines have equal slopes, thus

y = 0.5x + c ← is the partial equation

To find c substitute (- 2, 1) into the partial equation

- 1 = - 1 + c ⇒ - 1 + 1 = 0

y = 0.5x + 0 , that is

y = 0.5x ← equation of parallel line

3 0
3 years ago
An insurance company has 25,000 automobile policy holders. If the yearly claim of a policy holder is a random variable with mean
telo118 [61]

Answer:

P(T>8300000)=1-P(T

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Data given

n = 25000 represent the automobile policy holders

\mu= 320 represent the population mean

\sigma =540 represent the population standard deviation

Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:

X\sim N(\mu = 540, \sigma=540)

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Solution to the problem

First we need to find the distribution for the random variable T like this:

\bar X = \frac{\sum_{i=1}^n x_i}{n}

And the total T is given by:

T=\sum_{i=1}^n X_i =n \bar X

We can find the expected value, variance and deviation for this random variable like this:

E(T)= n E(\bar X) = n \mu = 25000*320=8000000

Var(T)= Var(n\bar X)= n^2 Var(\bar X) = n^2 \frac{\sigma^2}{n}=n \sigma^2 =25000*(540^2)=7290000000

Sd(T)=\sqrt{7290000000}=85381.497

And we are interested on this probability:

P(T>8300000)

And we can use the Z score formula given by:

Z=\frac{T-E(T)}{\sigma_T}

P(T>8300000)=1-P(T

6 0
3 years ago
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