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3 years ago

give an example if a linear equation in one variable with infinitely many solutioms. Explain how you know it has many solutions.

Mathematics

2 answers:

scoray [572]3 years ago

6 0

Ask expert and try to use your brain and why do you want to know many solutions just study one that's enough

earnstyle [38]3 years ago

5 0

There can be zero solutions, 1 solution or infinite solutions--each case is explained in detail below. Note: Although systems of linear equations can have 3 or more equations,we are going to refer to the most common case--a stem with exactly 2 lines. Case I: 1 Solution

This is the most common situation and it involves lines that intersect exactly 1 time.

Case 2: No Solutions

This only happens when the lines are parallel. As you can see, parallel lines are not going to ever meet.

Example of a stem that has no solution:

Line 1: y = 5x +13Line 2: y = 5x + 12
Case 3: Infinite Solutions

This is the rarest case and only occurs when you have the same line
Consider, for instance, the two lines below (y = 2x+1 and 2y = 4x +2). These two equations are really the same line .

Example of a system that has infinite solutions:

Line 1: y = 2x + 1Line 2: 2y = 4x + 2

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3 years ago

Read 2 more answers

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

Zarrin [17]

Let the lengths of pregnancies be X
X follows normal distribution with mean 268 and standard deviation 15 days
z=(X-269)/15

a. P(X>308)
z=(308-269)/15=2.6
thus:
P(X>308)=P(z>2.6)
=1-0.995
=0.005

b] Given that if the length of pregnancy is in lowest is 44%, then the baby is premature. We need to find the length that separates the premature babies from those who are not premature.
P(X<x)=0.44
P(Z<z)=0.44
z=-0.15
thus the value of x will be found as follows:
-0.05=(x-269)/15
-0.05(15)=x-269
-0.75=x-269
x=-0.75+269
x=268.78
The length that separates premature babies from those who are not premature is 268.78 days

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3 years ago

Josie rode her bike 18 miles at 12 and then rode another 24 miles at 15.

sleet_krkn [62]

18/12= 1.5
24/15= 1.6
1.6+1.5=3.1
I think D is your answer

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3 years ago

The following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = w

alexandr1967 [171]

I don't have an idea of what the answer is to be honest.

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3 years ago

A researcher collected data on the hours of TV watched per day from a sample of five people of different ages. Here are the resu

frozen [14]

Answer:

1. The least squares regression is y = -0.1015·x + 6.51

2. The independent variable is b) age

Please see attached table

Step-by-step explanation:

The least squares regression formula is given as follows;

$\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y} \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}}$

We have;

$\bar x$ = 24

$\bar y$ = 4

$\Sigma (x_i - \bar x) (y_i - \bar y)$ = -79

$\Sigma (x_i - \bar x)^2$ = 778

$\therefore \hat \beta =\dfrac{\sum_{i = 1}^{n}(x_{i} - \bar{x})\times \left (y_{i} - \bar{y} \right ) }{\sum_{i = 1}^{n}(x_{i} - \bar{x})^{2}} = \frac{-79}{778} = -0.1015$