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2 years ago

Adrian are 3 ani, iar tatăl lui are 34 de ani. Peste câți ani Adrian va fi de două ori mai tânăr decât tatăl său?

Mathematics

1 answer:

katrin [286]2 years ago

3 0

Answer:

27 years

Step-by-step explanation:

Given that :

Adrian's age = 3

Father's age = 34

In how many years will Adrian be twice as young as his father?

Let the number of years = x

2(3 + x) = 34 + x

6 + 2x = 34 + x

2x - x = 34 - 6

x = 28

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Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The aver

Maksim231197 [3]

Hey!

There are three sentences in this problem that require us to fill in the blanks with the correct number. Let's start by filling in the first sentence.

SENTENCE #1

The initial number of visits to the website was _____.

Before we being placing numbers in the blank, I would like to make sure you know the meaning of the terms in this sentence that you may not understand. I'm talking about the word initial. The term initial means the first or beginning of something. So, to simplify, the sentence is basically asking us for the first number of visits to the football team's website. It does not directly state that it wants the first number of visits in the first day or the first hour or first five hours, so we'll just assume it wants the first number of visits in the week 0.

To find the number of visits in week 0 all we have to do is review the chart and locate week 0. The number of visits to the website on week 0 is 48,000. So, the sentence completed should look something like this...

The initial number of visits to the website was 48,000.

SENTENCE #2

The percent decrease from the $4^{th}$ week to the $5^{th}$ week was ____ %.

Before we fill in the blank, I want to make sure you understand how to calculate a percentage decrease. The first step is to work out the difference (or the decrease) between the two numbers you are comparing. To do that, you can write your equation that looks something like this...

$decrease = original$ $number-new$ $number$

Then we would have to divide the decrease by the original number and multiply that answer by 100. So your new equation would have to look something like this...

% $decrease=decrease$ ÷ $original$ $number$ · $100$

***Note: If your answer ends up being a negative number, then this is a percentage increase.

So, now that we understand that let's move on the finding the percentage decrease in both the weeks.

The percentage decrease between both the weeks is 50%. So this means the new sentence should look something like this...

The percent decrease from week 4 to week 5 was 50%.

SENTENCE #3

The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was _____ .

Solving this part of the sentence will be simple. All we have to do is take a look at the last week, which is week 5. This will give us the minimum number of visits to the football website.

So, your completed sentence should look something like this...

The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500.

Hope this helps!

- Lindsey Frazier ♥

5 0

2 years ago

Read 2 more answers

A local company makes snack-size bags of potato chips. Each day, the company produces batches of 400 snack-size bags using a pro

ioda

Answer:

Probability that a sample of 40 bags has an average weight of at least 2.02 ounces is 0.103.

Step-by-step explanation:

We are given that the company produces batches of 400 snack-size bags using a process designed to fill each bag with an average of 2 ounces of potato chips. Assume the amount placed in each of the 400 bags is normally distributed and has a standard deviation of 0.1 ounce.

Also, sample of 40 bags are selected.

Let $\bar X$ = sample average weight

The z-score probability distribution for sample mean is given by ;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean weight of potato chips = 2 ounces

$\sigma$ = standard deviation = 0.1 ounces

n = sample of bags = 40

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, the probability that a sample of 40 bags has an average weight of at least 2.02 ounces is given by = P( $\bar X$ $\geq$ 2.02 ounces)

P( $\bar X$ $\geq$ 2.02) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{2.02-2}{\frac{0.1}{\sqrt{40} } }$ ) = P(Z $\geq$ 1.265) = 1 - P(Z < 1.265)

= 1 - 0.89707 = 0.103

The above probability is calculated using z table by looking at value of x = 1.265 which will lie between x = 1.26 and x = 1.27 in the z table which have an area of 0.89707.

Therefore, probability that a sample of 40 bags has an average weight of at least 2.02 ounces is 0.103.

3 0

2 years ago

Notice that the alternative hypothesis is a two-tailed test. Suppose ttest_ind method from scipy module is used to perform the t

Korvikt [17]

Answer:

The p-value of the test is 0.0512.

Step-by-step explanation:

The p-value of a test is well-defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

In this case the output of the t-test_ind method from scipy module is provided as follows:

Output = (-1.99, 0.0512)

The first value within the parentheses is the test statistic value.

So the test statistic value is, -1.99.

And the second value within the parentheses is the p-value of the test.

So the p-value of the test is 0.0512.

6 0

2 years ago

Your gross pay is $2,759.00. your involuntary deductions are fica (7.65%), federal withholding (12%), and state withholding (7%)

max2010maxim [7]

Gross pay = $2,759.00
Total deductions = 7.65%+12%+7% = 26.65% = 0.2665

By thumb rule, rent and other fixed expenses ≤ 28% of Monthly gross salary

Therefore,
Allowed housing and fixed expenses = 0.28*2,759 = $772.52

Then, a. is the correct answer.

6 0

2 years ago

Read 2 more answers

4.Find the square roots of the following decimal numbers

alisha [4.7K]

Answer:

I) 32.5

ii) 100.1

Step-by-step explanation:

I) 1056.25 = √1056.25

= 32.5

ii) 10020.01= √10020.01

=100.1

4 0

2 years ago

Read 2 more answers