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3 years ago

marisol is finding the slope of the line containing the points (3,7) and (5,10). Find her mistake and correct it.

Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

The y-value must be the numerator.

The correct way of solving this would be (7-10)/(3-5)=3/2

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Is x=4 and y=5 perpendicular

faltersainse [42]

True!

<h2>Explanation:</h2>

The Cartesian coordinate system is formed by two perpendicular axes, which are the x-axis and y-axis. In this problem, we are given two lines:

$x=4 \ and \ y=5$

The line $x=4$ is parallel to the y-axis and has an undefined slope.
The line $y=5$ is parallel to the x-axis and has a slope of zero.

Since the x and y-axes are perpendicular, then the lines $x=4 \ and \ y=5$ are also perpendicular.

<h2>Learn more:</h2>

Cartesian coordinate system: brainly.com/question/2141683

#LearnWithBrainly

6 0

3 years ago

A researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic

Delvig [45]

Answer:

90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

Step-by-step explanation:

We are given that a researcher examines 27 water samples for iron concentration. The mean iron concentration for the sample data is 0.802 cc/cubic meter with a standard deviation of 0.093.

Firstly, the pivotal quantity for 90% confidence interval for the population mean iron concentration is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean iron concentration = 0.802 cc/cubic meter

s = sample standard deviation = 0.093

n = number of water samples = 27

$\mu$ = population mean

<em>Here for constructing 90% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 90% confidence interval for the population mean, $\mu$ is ;

P(-1.706 < $t_2_6$ < 1.706) = 0.90 {As the critical value of t at 26 degree of

freedom are -1.706 & 1.706 with P = 5%}

P(-1.706 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 1.706) = 0.90

P( $-1.706 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $1.706 \times {\frac{s}{\sqrt{n} } }$ ) = 0.90

P( $\bar X -1.706 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +1.706 \times {\frac{s}{\sqrt{n} }$ ) = 0.90

<u>90% confidence interval for</u> $\mu$ = [ $\bar X -1.706 \times {\frac{s}{\sqrt{n} }$ , $\bar X +1.706 \times {\frac{s}{\sqrt{n} }$ ]

= [ $0.802 -1.706 \times {\frac{0.093}{\sqrt{27} }$ , $0.802 +1.706 \times {\frac{0.093}{\sqrt{27} }$ ]

= [0.771 , 0.832]

Therefore, 90% confidence interval for the population mean iron concentration is [0.771 , 0.832].

4 0

3 years ago

The midpoint of PQ is M(2,-3). One endpoint is<br> P(4,1). Find the coordinates of endpoint Q.

kupik [55]

Q (0,-7)

Hope this helps

3 0

3 years ago

Felix joins a local recreation center to play basketball.The recreation center charges a $20 annual fee, plus an additional $15

Sav [38]

Answer:

11 months

Step-by-step explanation:

185 - 20 = 165

165 ÷ 15 = 11

8 0

2 years ago

The equation d= -6t + 10 represents the distance d, in miles, Ralph walks from the library to his house in t hours. His sister,

Artist 52 [7]

A: 2.5
Don’t know if I’m right

7 0

3 years ago