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3 years ago

Write a system of two linear equations in x and y that has the ordered pair solution (4,3).

Mathematics

2 answers:

natka813 [3]3 years ago

5 0

Answer:

y= x -1

y= 2x-5

Step-by-step explanation:

__________

IceJOKER [234]3 years ago

4 0

Answer:

x + y = 7

x - y = 1

Step-by-step explanation:

4 + 3 = 7

x + y = 7

4 - 3 = 1

x - y = 1

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What is the length of angle EF in the right triangle below

salantis [7]

Answer:

E. √180

Step-by-step explanation:

Using Pythagoras' theorem

a^2 + b^2 = c^2 (c = hypotenuse, a and b are legs)

a^2 = c^2 - b^2

a^2 = 18^2 - 12^2

a^2 = 324 - 144

a^2 = 180

a = √180

Answer

E. √180

6 0

4 years ago

Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

Yanka [14]

Answer:

$Range=14$

$\sigma^2 =32.4$

$\sigma = 5 .7$

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

$Data: 136, 129, 141, 139, 138, 127$

Solving (a): The range

This is calculated as:

$Range = Highest - Least$

Where:

$Highest = 141; Least = 127$

So:

$Range=141-127$

$Range=14$

Solving (b): The variance

First, we calculate the mean

$\bar x = \frac{1}{n} \sum x$

$\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)$

$\bar x = \frac{1}{6} *810$

$\bar x = 135$

The variance is calculated as:

$\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2$

So, we have:

$\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]$

$\sigma^2 =\frac{1}{5}*[162]$

$\sigma^2 =32.4$

Solving (c): The standard deviation

This is calculated as:

$\sigma = \sqrt {\sigma^2 }$

$\sigma = \sqrt {32.4}$

$\sigma = 5 .7$ --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

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Answer:

Option A

Step-by-step explanation:

since V = p×r^2×h

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hence, option a is correct.

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2 years ago

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Write a system of two linear equations in x and y that has the ordered pair solution (4,3).​

Write a system of two linear equations in x and y that has the ordered pair solution (4,3).