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il63 [147K]
3 years ago
5

What does the expression 12f + 24 represent? Answers:

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
7 0
24 more than 12 times a number

EastWind [94]3 years ago
7 0

Answer:

Option 1 : twenty four more than twelve times a number

Step-by-step explanation:

Given : 12f+24

To Find : What does the expression 12f+24 represents?

Solution:

The given expression : 12f+24

Option 1 : twenty four more than twelve times a number

The given expression 12f+24

This expression means 24 more than twelve times f

f is any number

So, we can say twenty four more than twelve times a number .

Thus Option 1 is correct

Option 2 :twenty four more than twelve plus a number

Let f be a number

So, (12+f)+24 is the obttained expression from option 2

Option 3 :twelve times the difference of number and twenty four.

Let f be a number

So, 12(24-f) is the obttained expression from option 3

Option 4 : twelve times the sum of a number plus twenty four

Let f be a number

So, 12(24+f) is the obttained expression from option 4

Thus option 1 represent the given expression 12f+24


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Solve the inequality a-4<10
kicyunya [14]

Answer:

a < 14

Step-by-step explanation:

a - 4 < 10

isolate the variable

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5 0
3 years ago
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Plz help!
Marizza181 [45]

Answer:

800 is the answer

Step-by-step explanation:

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4 0
3 years ago
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
Orlov [11]

Answer:

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.05, n = 212, \mu = 0.05, s = \sqrt{\frac{0.05*0.95}{212}} = 0.015

What is the probability that the sample proportion will differ from the population proportion by less than 0.03?

This is the pvalue of Z when X = 0.03 + 0.05 = 0.08 subtracted by the pvalue of Z when X = 0.05 - 0.03 = 0.02. So

X = 0.08

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

By the Central Limit Theorem

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

Z = \frac{0.08 - 0.05}{0.015}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 0.02

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

Z = \frac{0.02 - 0.05}{0.015}

Z = -2

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

6 0
3 years ago
The electric potential in a circuit is given by
shtirl [24]
We are given with the equationL
V(t) = 320 e^(-3.1t)
At V = 200
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t = 0.15 s

100 = 320 e^(-3.1t)
t = 0.36 s

It takes 0.36 - 0.15 = 0.21 s for the voltage to drop from 200 to 100 volts.
3 0
3 years ago
Read 2 more answers
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