The estimated increase, in inches, of a boy's height each year is 3 inches.
A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling.
Now the given model to estimate the height h of a boy, in inches, in terms of the boy's age a, in years is,
h = 3a + 28.6
Now age between 2 and 5 the height is given as,
At age 2 years,
h₂ = 3*2 + 28.6 = 34.6 inches
At age 3 years,
h₃ = 3*3 + 28.6 = 37.6 inches
At age 4 years,
h₄ = 3*4 + 28.6 = 40.6 inches
At age 5 years,
h₅ = 3*5 + 28.6 = 43.6 inches
Thus, increase in height per year
h₅-h₄ = 43.6 - 40.6 = 3 inches
h₄-h₃ = 40.5 - 37.6 = 3 inches
h₃-h₂ = 37.6 - 34.6 = 3 inches
Thus, h₅-h₄ = h₄-h₃ = h₃-h₂ = 3 inches
Thus, she estimated increase, in inches, of a boy's height each year is 3 inches.
To learn more about mathematical models:
the estimated increase in height of baby each year would be 3 inches.
-8x -14 = 7(-2-14x)+4x
-8x - 14 = 7*-2 - 7*14 +4x
-8x - 14 = -14 - 98x +4x
-8x - 14 = -14 - 94x
-8x + 94x = -14 +14
86x = 0
The probability of catching the first salmon out of 8 fish is 0.0419.
Once a year, people can purchase a fishing license that allows them to catch up to 8 fish.
Each catch is independent. (independent events)
The probability of fishing a salmon in a certain river is 20 percent or 0.2.
Now, the probability of not getting a salmon will be 80% or 0.8.
So, the first fish should be salmon and the others should not be salmon. So, the required probability of independent events can be calculated as,
Therefore, the probability of catching the first salmon out of 8 fish is 0.0419.
For more details, refer to the link:
The probability of needing to catch 8 fish to get the first salmon is
(0.8)⁷ * 0.2 or 4.2% (rounding to two decimal places)
Correct statement and question:
Options were not provided, we looked for them either at brainly or other site, but we didn't find them. We will answer the problem without using any additional source, just the information provided.
1. Let's review the information given to us to solve the question correctly:
Probability of fishing a salmon in a certain river = 20% or 1/5
Number of fishes allowed per fishing license = 8
Each catch is an independent event
2. Which of the following represents the probability of needing to catch 8 fish to get the first salmon?
Let's recall that the probability for independent events is:
P(A) * P(B)
Now, if the probability of fishing a salmon is 20%, the probability of NOT fishing a salmon is (100% - 20%) = 80%
Let's convert the percent to decimal.
80% = 0.8 and 20% = 0.2
If we need to catch 8 fishes to get the first salmon, we can find out the probability of 7 catches not fishing a salmon and the 8th, catching finally a salmon, this way:
P = 0.8 * 0.8 * 0.8 * 0.8 * 0.8 * 0.8 * 0.8 * 0.2
P = (0.8)⁷ * 0.2
P = 0.2097152 * 0.2
P = 0.042 (rounding to two decimal places)
P = 4.2%
All right, this is a basic algebra problem and the goal is to isolate x.
First you distribute: -8x-14=-14-28x+4
Then, combine like terms: -8x-14=-10-28x
Add 28x and add 14 to both sides to isolate x: 20x=4
Now divide by 20 on both sides: x=4/20 or 1/5
Each student will get 375 milligrams of glitter.
Quantity of glitter is 3 gram.
The number of arts students is 8.
We have to share the glitter between eight art students equally.
Since Mrs. Tatum needs to share the glitter equally among art students,So divide 3 gram by 8,
Since 1 gram consist of 1000 milligrams.
Or we can convert it into smaller unit,
So, 0.375 gram is equivalent to 375 milligram.
Hence each art student will get 375 milligrams of glitter.
For more details on unit conversion follow the link:
each student will get 0.375 grams of glitter
could i get brainliest?
The answer to the question is a
Elsie is selling the shirt for 45% more than she paid for it. So, you would multiply 6, the initial cost of the shirt times 0.45, which would get you 2.7 or $2.70.
Since we can see that she would be selling the shirt for $8.70 but she loses $6 to represent the shirt's initial cost (8.70-6), then we can see that she makes $2.70 for each shirt sale.
Increase in price = 45% of $6
She made $2.70 from each shirt