a town's population was 7500 at the beginning of the year 2000 and has been decreasing by 3.2 % each year thereafter.

Answer:

A y=2/3x+5

Step-by-step explanation:

just replace x with the x values and check if you get y

where you get y that will be the right answer

Answer:

c

Step-by-step explanation:

plz Brainliest i need it

Answer:

minimum sample size = 97

Step-by-step explanation:

Margin of error = 20

standard deviation = 100

sample size = n

standard error = 100/sqrt(n)

confidence level, alpha = 95%

Using the standard rule for 95% confidence

standard error <= sample mean \(\pm\) 1.96 standard error, or

20 <= 1.96*100 / sqrt(n)

n >= (1.96*100/20)^2 = 9.8^2 = 96.04  

=>

n >= 97

Answer:

to convey the parametric expression to be use the explosions

Answer:

24

Step-by-step explanation:

96/8 + {2(5-7) exponent 2 + 4}

= 96/8 + {2(-2) exponent 2 + 4}

= 96/8 + {2(4) + 4}

= 12 + {8 + 4}

= 12 + 12

=24

Answer:

20

Step-by-step explanation:

10+10+10+10=40

40/2=20

Answer/Step-by-step explanation:

Square = 4 equal sides

1 side = 10 cm

So,

A+B+D+C = 10+10+10+10

so it equals 40

But we arfe looking for half of it or adding of the sides,

B+D

10 + 10 = 20

You could have also done it by :

The whole thing is 40, and a square has 4 sides. We are looking at 2 sides which is half so ,

40/2 = 20 cm

Step-by-step explanation:

the length of unknown side =

√18²-(33-25)² =

√18²-8²= √324-64

=√260 = 16.1 ft

the perimeter= 16.1 +33+18+25

= 92.1 ft

Answer:

Together they equal 180 l so you need to do 180-128 which equals 52. The answer is <D measures 52

Step-by-step explanation:

Answer:

1567.752

Step-by-step explanation:

1000g = 1 kg. Before you can add them together, you have to multiply the vegetables and corn oil by 0.001 so that they are now in the unit of Kilograms. Then just add all of them together

Answer:

1567.752

Step-by-step explanation:

Answer: P(X = 7) is 0.2619 | P(X < 4) is 0.7145 | P(X>6) is 0.0222.

Step-by-step explanation:

Using the binomial probability formula
P(X = k) = (n C k) * p^k * (1 - p)^(n - k);

a.) P(X = 7):

P(X = 7) = (10 C 7) * 0.43^7 * (1 - 0.43)^(10 - 7)

Using the binomial coefficient formula:

(10 C 7) = 10! / (7! * (10 - 7)!) = 10! / (7! * 3!) = 120.

Plugging the values into the formula:

P(X = 7) = 120 * 0.43^7 * 0.57^3 ≈ 0.2619.

Therefore, P(X = 7) is approximately 0.2619.

b.) P(X < 4):

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3).

We can calculate each probability individually using the binomial formula, and then sum them up.

P(X = 0) = (10 C 0) * 0.43^0 * 0.57^10 = 0.57^10 ≈ 0.0151.

P(X = 1) = (10 C 1) * 0.43^1 * 0.57^9 ≈ 0.1039.

P(X = 2) = (10 C 2) * 0.43^2 * 0.57^8 ≈ 0.2568.

P(X = 3) = (10 C 3) * 0.43^3 * 0.57^7 ≈ 0.3387.

Summing up these probabilities:

P(X < 4) ≈ 0.0151 + 0.1039 + 0.2568 + 0.3387 ≈ 0.7145.

Therefore, P(X < 4) is approximately 0.7145.

c.) P(X > 6):

P(X > 6) = 1 - P(X ≤ 6).

To calculate P(X ≤ 6), we can find P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 6) and subtract it from 1.

Using the same calculations as in part b:

P(X ≤ 6) ≈ 0.0151 + 0.1039 + 0.2568 + 0.3387 + ... + P(X = 6) ≈ 0.9778.

Subtracting from 1:

P(X > 6) = 1 - 0.9778 ≈ 0.0222.

Therefore, P(X > 6) is approximately 0.0222.

Hope it helps, cheers!

Check the picture below.

let's recall that, the arc made from 0 to π is just half a circle or namely a semi-circle, so any fraction of π refers to that arc

\(\cfrac{11\pi }{18}\qquad \textit{really means}\qquad \cfrac{11}{18}\qquad \textit{of that semi-circle}\)

The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.

To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.

So,

Interest = $13,000 x 0.07 x 5

Interest = $4,550

It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.

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A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The exact value of sin(45) sin ( 45 ) is √22 2 2 . The exact value of cos(60) cos ( 60 ) is 12 1 2 . The exact value of cos(45) cos ( 45 ) is √22 2 2 . The exact value of sin(60) sin ( 60 ) is √32 3 2 .

Answer:

√6+√2/4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Hello!

We can pick out a point that is given to us, (1,4).

We can see that our x-value is 1, and our y-value is 4.

We can plug our values of x and y into the fraction:

The constant of proportionality is 4.

Answer:

x = 100

Step-by-step explanation:

All you need is contained in the sheet attached

Answer:

x = 100

Step-by-step explanation:

3 log2(x) - 2 log2(5x) = 2

We know that a log(c) = log c^a

log2(x)^3 - log2(5x)^2 = 2

log2(x^3) - log2(25x^2) = 2

We know that log a - log b = log a/b

log2(x^3 /25x^2) = 2

Simplify

log2(x /25) = 2

Raise each side to  base 2

2^log2(x /25) = 2^2

x/25 = 4

Multiply each side by 25

x = 4*25

x = 100

The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.

When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.

In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.

When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.

The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.

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a) The percentage of adults in the USA that have stage 2 high blood pressure is; 0.27%

b) The number of people that you will expect to have BP greater than 160 is; 54

a) if x is systolic blood pressure, then want to find probability that x ≥ 160.

The formula for z-score is;

z = (x - mean)/standard deviation

Thus;

z = (x - 119)/18

This is normally distributed with mean 0 and standard deviation 1

Transform x to z:

P(x > 160) = P(z > (160 - 119)/18)

= P(z > 2.78)

= P(z < -2.78)

= 0.0027 (from standard normal distribution table, which 0.27%.)

b)  Since probability of BP > 160 is 0.027.  

Then out of 2000 people, then 2000 * 0.027 = 54 people would have BP > 160.

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The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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Answer:

15/8 or 1 7/8

Step-by-step explanation:

Multiply the numerator by the number of workbooks (5)

You get 15/8.

Simplify

The length of 5 workbooks is 7 1/8 inch.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Thickness of workbook = 3/8 inch

Total workbooks = 5

So, the thickness of 5 workbooks

=5* 3/8

=15/8

=7 1/8 inch

Hence, the thickness of 5 workbooks is 7 1/8 inch.

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Answer:area is 12

Step-by-step explanation:

Answer:

6.25 meters

Step-by-step explanation:

25/4 = 6.25

Length of each cut piece is 6.25 m.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given

A length of 25 meters cut the string in 4 pieces of equal length.

= \(\frac{25}{4}\)

= 6.25

Length of each cut piece is 6.25 m.

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\( \large \mathfrak{Answer : }\)

The above statement can be represented algebraically as :

Answer:

400.

Step-by-step explanation:

50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.

Answer:

400

Step-by-step explanation:

just did the work

The number that twice the sum of it and negative seven is eight is 11.

Twice the sum of the number and negative seven is eight. The number can be found as follows:

let

the number  = x

According to the word expression, twice the value of  the addition of x and minus seven is equals to 8. Hence, we will find the value of x in the equation formed from the words expression.

The variable x is the required number.

Therefore,

2(x + (-7)) = 8

2(x - 7) = 8

open the brackets

2(x - 7) = 8

2x  - 14 = 8

add 14 to both sides of the equation

2x  - 14 = 8

2x  - 14 + 14 = 8 + 14

2x = 22

divide both sides by 2

x = 22 / 2

x = 11

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