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swat32
3 years ago
5

A plant is 3 inches tall when you purchase it and grows 2 inches per month. write an equation that represents the length y (in i

nches) of a plant that you purchased x months ago
Mathematics
2 answers:
Novay_Z [31]3 years ago
5 0

Answer: y = 3 + 2(x - 1)

Step-by-step explanation:

A plant is 3 inches tall when you purchase it and grows 2 inches per month. The growth rate per month is linear, thus it is increasing in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as

Tn = a + (n - 1)d

Where a is the first term of the sequence.

n is the number of terms of the sequence.

d is the common difference.

From the information given,

a = 3 inches (original height when it was purchased)

d = 2 inches( growth rate per month)

n = x (number of months)

Tn = y( the height in x months)

The equation that represents the length y (in inches) of a plant that you purchased x months ago will be

y = 3 + 2(x - 1)

Studentka2010 [4]3 years ago
4 0

Answer:

3y=2x

Step-by-step explanation:

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How do i solve this?? lol
Nana76 [90]

Answer:

w = 5\pi

Step-by-step explanation:

Not sure if it wants an integer as an answer but:

Step 1 - Move the negative 3π to the right.

-3\pi + w = 2\pi \\w = 2\pi + 3\pi

Step 2 - Simplify by adding together

w = 5\pi

Hope this helps!

7 0
2 years ago
Read 2 more answers
In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 g
KIM [24]

Answer:

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

All girls from the first group:

20 students, so N = 20

10 girls, so k = 10

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163

All girls from the second group:

20 students, so N = 20

5 girls, so k = 5

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006

All girls from the third group:

20 students, so N = 20

8 girls, so k = 8

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

7 0
3 years ago
the number of three-digit numbers with distinct digits that be formed using the digits 1,2,3,5,8 and 9 is . The probability that
jolli1 [7]

Answer:

a)120

b)6.67%

Step-by-step explanation:

Given:

No. of digits given= 6

Digits given= 1,2,3,5,8,9

Number to be formed should be 3-digits, as we have to choose 3 digits from given 6-digits so the no. of combinations will be

6P3= 6!/3!

      = 6*5*4*3*2*1/3*2*1

      =6*5*4

      =120

Now finding the probability that both the first digit and the last digit of the three-digit number are even numbers:

As the first and last digits can only be even

then the form of number can be

a)2n8 or

b)8n2

where n can be 1,3,5 or 9

4*2=8

so there can be 8 three-digit numbers with both the first digit and the last digit even numbers

And probability = 8/120

                          = 0.0667

                          =6.67%

The probability that both the first digit and the last digit of the three-digit number are even numbers is 6.67% !

5 0
3 years ago
Read 2 more answers
89. In a drawing, a jar holds the numbers 1 to 8. If you draw three numbers to form a three-digit number (without replacement),
torisob [31]

Answer:

1: D. 1/336

Explanation:

10 x 9 x 8 = 720

There are 720 ways for them to come in first, second and third place.

2. Probability = 1/8 x 1/7 x 1/6 = 1/336

The probability is 1/336 or 0.002976.

7 0
3 years ago
A candy store called "Sugar" built a giant sugar cube out of wood to hang above the entrance to their store. It took 54 feet^2.
saul85 [17]
Each side area = 54/6 sides = 9 
one side is 3 feet so the volume is 3x3x3 = 27 square feet
7 0
3 years ago
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