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Leviafan [203]
3 years ago
8

B(t)=50(1.4)^t

Mathematics
1 answer:
olasank [31]3 years ago
8 0
B (t) = 50 (1.4) ^ t
 What is the y-intercept of the function? 
 The intersection with the y-axis of the function you find when x = 0.
 In this case we have:
 For t = 0:
 B (0) = 50 (1.4) ^ 0
 B (0) = 50 * (1)
 B (0) = 50
 Answer: 
 the y-intercept of the function is:
 B (0) = 50
 What does this mean in the context of the problem?
 You must place the complete statement to answer exactly.
 However, in any problem of exponential type, it means the initial quantity of something.
 If we refer to the increase in population over time, then the intersection with the y-axis is the initial population.
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F) Two numbers are in the ratio 5:4. If they differ by 12, what are the numbers?
Iteru [2.4K]

Answer:

First number = 60 and another number = 48

Step-by-step explanation:

Let two numbers are 5x and 4x.

The two number are differ by 12. We need to find the numbers.

ATQ,

5x-4x = 12

x = 12

Now first number = 5x

= 5(12)

= 60

Other number = 4x

= 4(12)

= 48

Hence, the numbers are 60 and 48.

8 0
3 years ago
F(1) = -3<br> f(n) = 2 · f(n − 1) +1<br> f(2)=
raketka [301]

Answer:

-5

Step-by-step explanation:

f(2) = 2 * f(1) + 1

f(2) = 2 * -3 + 1

f(2) = -6 + 1

f(2) = -5

6 0
2 years ago
Vera prepared 24 kilograms of dough after working 3 hours. How much dough did vera prepare if she workes for 6 hours?
Nataly [62]

Answer:

48 kg

Step-by-step explanation:

She can make 24 kg of dough in 3 hours

Multiply each by 2

She can make 24*2 kg of dough in 3*2 hours

She can make 48 kg of dough in 6 hours

8 0
3 years ago
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha
uranmaximum [27]

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

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.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that \mu = 3, \sigma = 0.1

Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.

X = 3.1

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

Z = \frac{3.1 - 3}{0.1}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 2.9

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

Z = \frac{2.9 - 3}{0.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)

For the second machine, we have that \mu = 3.04, \sigma = 0.04. Same probability we have to find out. So

X = 3.1

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

Z = \frac{3.1 - 3.04}{0.04}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

X = 2.9

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

Z = \frac{2.9 - 3.04}{0.04}

Z = -3.5

Z = -3.5 has a pvalue of 0.0002

0.9332 - 0.0002 = 0.933

0.933 = 93.3% probability that the second machine produces an acceptable cork.

Which machine is more likely to produce an acceptable cork?

Second one has a higer probability, so it is more likely to produce an acceptable cork.

6 0
3 years ago
(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.​
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I think the answer is 12
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2 years ago
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