All categories

2 years ago

What is the solution to the system of equations? y = –5x + 3 y = 1 (0.4, 1) (0.8, 1) (1, 0.4) (1, 0.8)

Mathematics

2 answers:

-Dominant- [34]2 years ago

8 0

Answer:

y = –5x + 3....... 1

y = 1 ..........2

Substitute y = 1 into the first equation

y = –5x + 3

1 = - 5x + 3

-5x = 1-3

- 5x = - 2

Divide both sides by - 2

x = 2/5 or 0.4

x = 0.4 y = 1

The solution to the above system of equations is ( 0.4 , 1)

Hope this helps

Yakvenalex [24]2 years ago

4 0

Answer:

0.4, 1

Step-by-step explanation:

A, The first one

You might be interested in

A line segment or ray that is perpendicular to the segment at its midpoint is called

Dimas [21]

Perpendicular bisector

3 0

2 years ago

Here are two datasets:

fiasKO [112]

Answer:

Option a) Mean

Mean is affected a lot by the change in the last observation as the median remains the same.

Step-by-step explanation:

we are given the following in the question:

Data set A: 64, 65, 66, 68, 70, 71, 72

Data set B: 64, 65, 66, 68, 70, 71, 720

For data set A, the mean and median are 68.

For data set B:

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1124}{7} = 160.57$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data:

64, 65, 66, 68, 70, 71, 720

$\text{Median} = \dfrac{7+1}{2}^{th} \text{ term} = 4^th\text{ term} = 68$

Clearly, 720 is the is a outlier.

As seen mean is affected a lot by the change in the last observation as the median remains the same.

5 0

2 years ago

Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2.

Anettt [7]

Answer:

a=2

b=6

Step-by-step explanation:

Assuming a uniform distribution and that a ≤ x ≤ b, if f(x) = 1/4, then:

$f(x) =\frac{1}{4}=\frac{1}{b-a}\\b-a = 4$

If P(X > 4) = 1/2, then:

$\frac{1}{2} = 1-(\frac{x-a}{b-a})=1-(\frac{4-a}{4})\\a-4+4 =\frac{1}{2}*4\\ a=2\\b=4+a\\b=6$

The values for a and b are, respectively, 2 and 6.

3 0

2 years ago

There are 18 girls and 12 boys in your class. What is the probability that a new kid entering your class will be a boy ?

xenn [34]

C.
12/30=0.4
You should really learn how to do probabilities. They don't go away after like the sixth grade.

6 0

2 years ago

Please help me out!

marishachu [46]

Answer: g = -4 and h =1 or g= -1 and h = -2

Step-by-step explanation:

If two exponents have the same base and are multiplied together, you will keep the base unchange and add the exponents.

So looking at the equation, the base is 2 for both and they are raised to the powers g and h, meaning that if g and h are added together they have to equal -3.

So find two numbers that their sum is -3.

For example, -1 and -2 add up to -3, -4 and 1 add up to -3.

4 0

2 years ago