:

Convert into percentages 7/25

LekaFEV [45]

Answer:

28%

Step-by-step explanation:

Divide the numerator by the denominator in order to convert this fraction into a decimal.

7/25 = 0.28

Multiply the decimal by 100 to convert into a whole number.

.28 * 100 = 28

7/25 converted into a percent is 28%.

8 0

2 years ago

Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patie

Keith_Richards [23]

Answer:

The probability $P(\^ p > 0.80) = 0.99957$

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.90

The sample size is n = 30

Generally mean of the sampling distribution is $\mu_{\= x } = p = 0.90$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{p( -p )}{n} }$

=> $\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }$

=> $\sigma = 0.03$

Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as

$P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )$

Generally $\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)$

So

$P(\^ p > 0.80) = P(Z > -3.33 )$

From the z-table $P(Z > -3.33 ) = 0.99957$

So

$P(\^ p > 0.80) = 0.99957$

5 0

2 years ago

The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting

Andrei [34K]

a) The given sequence is geometric.

b) The next term in the sequence is 486

c) The rule is: $a_n=6(3)^{n-1}$

The 20th week will be: a_{20}=6973568802

Step-by-step explanation:

The sequence 6, 18, 54, 162, … shows the number of push ups Kendall did each week, starting with her first week of exercising.

Part a) Is this an arithmetic or geometric sequence?

An arithmetic sequence is one, where difference between two consecutive terms is constant.

In the given sequence 6, 18, 54, 162,

18-6 = 12

54-18= 36

The difference is not constant so, the sequence is not arithmetic.

A geometric sequence is one, where ratio between two consecutive terms is constant.

In the given sequence 6, 18, 54, 162,

18/6 = 3

54/18 = 3

162/54 = 3

The ratio is constant so, the sequence is geometric.

The given sequence is geometric.

Part b) How can you find the next number in the sequence?

We can find next number in the sequence by using formula:

$a_n=a(r)^{n-1}$

where a_n= nth term

a= first term

r= common ratio

The next term will be 5th term of the sequence.

Finding 5th term:

$a_n=a(r)^{n-1}\\a_5=6(3)^{5-1}\\a_5=6(3)^4\\a_5=6*81\\a_5=486$

So, the next term in the sequence is 486

Part c) Give the rule you would use to find the 20th week. Find the 20th week

The rule used to find 20th week would be:

$a_n=6(3)^{n-1}$

Here n=20

Finding 20th week

$a_n=6(3)^{n-1}\\a_{20}=6(3)^{20-1}\\a_(20)=6(3)^{19}\\a_{20}=6973568802$

5 0

1 year ago

The following bar graph shows the amount of time Latisha participated in an exercise program over a four-week period. If Latisha

Arlecino [84]

Either B or C should work. I would go with B, though.

5 0

1 year ago

Read 2 more answers

Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small

Greeley [361]

Answer:

(a) $\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....$

(b) P(1) = 0.740, P(2) = 0.192, and P(3) = 0.050.

(c) The probability that n ≥ 4 is 0.018.

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is 3.

Step-by-step explanation:

We are given that on the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry.

Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

(a) We can observe that the above situation can be represented through the geometric distribution because the geometric distribution states that we will keep on going with the trials until we achieve our first success,

Here also, n represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

So, the probability distribution of the geometric distribution is given by;

$\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....$

where, p = probability that the residents are of Hawaiian ancestry = 74%

(b) The probabilities that n = 1, n = 2, and n = 3 is given by;

$\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1}$