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Svet_ta [14]
3 years ago
12

Nh term to 25 20 15 10 5

Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0

a_n=a_1+(n-1)d\\\\
a_1=25\\
d=-5\\\\
a_n=25+(n-1)\cdot(-5)\\
a_n=25-5n+5\\
\boxed{a_n=-5n+30}

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Convert 22 2/5% into decimal​
Vera_Pavlovna [14]

Answer:

0.224

Step-by-step explanation:

2/5% = 0.004

22% = 0.22

22% + 2/5% = 0.224

5 0
3 years ago
Read 2 more answers
Jacob decided to ride his bicycle across the country during his 2-month summer vacation. the route he took from washington, dc t
Artist 52 [7]

Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)

Step 2: Use the sentence given to set up an equation

Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"

Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.

Using the sentence we can write the below equation...

x = 100 + 3(2800 - x)

Distributing 3 in the right side of the equation, we get...

x = 100 + 8400 - 3x

Adding 3x on both sides of the equation, we get...

x+3x = 8500

Combine like terms in the left side of the equation, we get...

4x=8500

Dividing 4 on both sides of the equation, we get...

\frac{4x}{4} =\frac{8500}{4}

Simplifying the fraction on either side of the equation, we get...

x=2125miles

Conclusion:

Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.

3 0
3 years ago
During the mayoral election,two debates were held between the canidates. The first debate lasted 1 4/5 hours. The second one las
Andrews [41]

Answer:

3\frac {6}{25} hrs \ or \ 3 hrs\  14 mins \ 24 sec

Step-by-step explanation:

The question calls requires one to get the product of the given time. Since first debate lasted for :

1\frac {4}{5} \ hrs

-and the second lasted

1\frac {4}{5} hrs times more than the first then the second took then the first step will involve converting the mixed fractions into improper fraction which will be:

\frac {9}{5}

-Now multiplying

\frac {9}{5}\times\frac{9}{5}\\\\=\frac{81}{25}=3\frac{6}{25}hrs

5 0
3 years ago
Help ASAP!!! Savings Account.Christine Chu borrowed $4500 from a bank at a simple interest rate of 2.5% for one year.
nydimaria [60]

Answer: $112.50 ; $4612.5

Step-by-step explanation:

a) Determine how much interest Christine paid at the end of 1 year.

This will be:

Simple interest = PRT/100

where

P = principal = $4500

R = rate = 2.5%

T = time = 1 year

Interest = (4500 × 2.5 × 1)/100

= 11250/100

= $112.50

b) Determine the total amount Christine will repay the bank at the end of 1 year.

Total amount = Principal + Interest

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7 0
3 years ago
An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh
Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given by:

n = 600, \pi = \frac{400}{600} = 0.6667

Hence, the bounds of the interval are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

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