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3 years ago

My father is 47 years old. I am x years old.

Mathematics

1 answer:

Akimi4 [234]3 years ago

5 0

Answer:

your father 47+y You x+y

Step-by-step explanation:

Your father is 47 + y years old after y years

You will be x + y years old after y years.

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Help me plzzzzzzzzzzzzzzzzzzz

Shkiper50 [21]

Answer:

$5^8/5^6=5^2$

Step-by-step explanation:

When dividing numbers with powers, it is handy to remember that

$x^y/x^z=x^y^-^z$

$5^8/5^6=5^8^-^6 = 5^2$

4 0

3 years ago

Read 2 more answers

Why does the table say "inches of rain"?

elena-s [515]

By what I can tell, that is telling you what the measurement of rain was per month. For example, August had 10. That means that in the month of August there was 10 inches of rain.

8 0

3 years ago

Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt have been dissolved. Another br

Serggg [28]

Answer:

dA/dt = 12 - 2A/(100 + t)

Step-by-step explanation:

The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 4 lb/gal

Input rate of brine = 3 gal/min

Thus;

R_in = 4 × 3 = 12 lb/min

Due to the fact that solution is pumped out at a slower rate, thus it is accumulating at the rate of (3 - 2)gal/min = 1 gal/min

So, after t minutes, there will be (100 + t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(100 + t)]lb/gal × 2 gal/min

R_out = 2A(t)/(100 + t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 12 - 2A(t)/(100 + t)

Since we are to use A foe A(t), thus the Differential equation is now;

dA/dt = 12 - 2A/(100 + t)

5 0

3 years ago

4. Amazon executives believe that at least 70% of customers would return a product 2 days after it arrives at their home. A samp

inysia [295]

Using the normal distribution and the central limit theorem, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.
By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportions has mean $\mu = p$ and standard error $s = \sqrt{\frac{p(1 - p)}{n}}$

In this problem:

Sample of 500 customers, hence $n = 500$ .

Amazon believes that the proportion is of 70%, hence $p = 0.7$

The mean and the standard error are given by:

$\mu = p = 0.7$

$s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{500}} = 0.0205$

The probability is the p-value of Z when X = 0.68, hence:

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

By the Central Limit Theorem

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

$Z = \frac{0.68 - 0.7}{0.0205}$

$Z = -0.98$

$Z = -0.98$ has a p-value of 0.1635.

0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

A similar problem is given at brainly.com/question/25735688

7 0

2 years ago

Five pencils and 4 erasers cost $7.65. Four pencils and 5 erasers cost $7.20.What is the cost of 2 erasers?

Arturiano [62]

I think this is right.. I tried my best. If u get it sorry... I’m very sorry

1. Divide 7.20 by 4 since the 4 are the pencils

2.divide 7.20 by 5 ( 5 represents the erasers )

3. Then finally multiply 1.44 from 7.20/5 and
2 and u get 2.88

8 0

3 years ago