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3 years ago

What is the apparent solution to the system of equations? y=1/2x+2 y=2x−1

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

X = 2
y = 3

You can simply set these two equal to each other and solve for x. Then plug in to find y.

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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.

5 0

2 years ago

HELP HELP HELP HELP HELP HELP PLSSS

Kaylis [27]

Answer:

transpiration and evaporation

7 0

2 years ago

Read 2 more answers

7t=x,for t .what is the formula

Andrei [34K]

The formula for t would be x/7.

In order to find this, we simply follow the order of operations to solve for t.

7t = x ----> Divide both sides by 7

t = x/7

6 0

3 years ago

If f(x) = 4x + 3(x – 7),<br> what is f(2x)? Simplify<br> your answer.

Hitman42 [59]

Answer: -7 is the answer

Step-by-step explanation:

4(2)+3(2-7)

2-7 is -5

-5 times 3 is -15

4 times 2 is 8

-15+8=-7

4 0

3 years ago

A random sample of 56 lithium batteries has a mean life of 645 hours with a population standard deviation of 31 hours. Compute t

bearhunter [10]

Answer: A. (636.9, 653.1)

Step-by-step explanation:

Given : Sample size : n=56

Significance level : $\alpha: 1-0.95=0.05$

Critical value : $z_{0.05}=1.96$

Sample mean : $\overline{x}=645\text{ hours}$

Standard deviation : $\sigma= 31\text{ hours}$

The 95% confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=645\pm (1.96)\dfrac{31}{\sqrt{56}}\\\\=645\pm8.1\\\\=(636.9, 653.1)$

Hence, 95% confidence interval for population mean is (636.9, 653.1).

8 0

3 years ago