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Liono4ka [1.6K]
2 years ago
5

A newly introduced fitness program is gaining popularity among the members of a fitness club. The number of members, s(1), who j

oined the
program t months after it was introduced is modeled by the function below.
s(t) = 10(2)* + 10
Which graph represents this function?

Mathematics
1 answer:
ahrayia [7]2 years ago
6 0

Answer:

Option A will be the answer.

Step-by-step explanation:

The number of members, s(t), who joined the  program t months after it was introduced is modeled by the function below  

s(t) = 10(2)^{x}  + 10

The function is an exponential function and y-intercept of the function is at (0,20) point.

Now, from the graph given in the options, the first graph matches the criteria.

Hence, option A will be the answer. (Answer)

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13/14 as a decimal rounded to the nearest tenth
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Answer: .93

Step-by-step explanation: .9, .93, or .929

3 0
2 years ago
Read 2 more answers
P(X< ) 1-P(X> ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball
Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 30, p = 0.626

So

\mu = E(X) = np = 30*0.626 = 18.78

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is P(X \leq 16 + 0.5) = P(X \leq 16.5), which is the pvalue of Z when X = 16.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16.5 - 18.78}{2.65}

Z = -0.86

Z = -0.86 has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

7 0
2 years ago
The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the
Elodia [21]
Area=height times base (for some prisms including cylinders)
vcylinder=hpir²
h=height
therefor pir²=base area
vcylinder=height times aeraofbase

 

given
h=9
v=324pi
324pi=9(basearea)
divide both sides by 9
36pi=areabase

the area of the base is 36pi square cm (put 36 in the blank since the pi is already there)
8 0
2 years ago
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Referring to the scale, 1:50 what is the actual measurement of the wall marked 18 cm on the plan?
vfiekz [6]

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1 : 50

We need the first number to be 18 so multiply by 18

1:18 : 50*18

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2 years ago
8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Lerok [7]

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Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

8 0
2 years ago
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