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3 years ago

The slope of the line that passes through the points (6,9) and (11.2) is --

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

Answer:

$m=\frac{-7}{5}$

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:

$m=\frac{2-9}{11-6}$

$m=\frac{-7}{5}$

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A random sample of 121 students from the University of Oklahoma had a sample mean ACT score of 23.4 with a sample standard devia

Grace [21]

Answer:

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 121

Sample mean = 23.4

Sample standard deviation = 3.65

Level of significance = 0.05

Degree of freedom

$= n - 1 = 120$

95% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Calculation of critical value:

$t_{critical}\text{ at degree of freedom 120 and}~\alpha_{0.05} = \pm 1.9799$

Putting the values, we get,

$23.4\pm 1.9799(\dfrac{3.65}{\sqrt{121}} )\\\\ = 23.4 \pm 0.6569\\\\ = (22.7431 ,24.0569)\approx (22.74,24.06)$

(22.74,24.06) is the required 95% confidence interval for the population mean ACT score of University of Oklahoma students.

5 0

3 years ago

Find slope of (2,2) and (4,b)

elena-14-01-66 [18.8K]

Answer: Use the slope formula to find the slope

m = −2−b/2

4 0

3 years ago

A spinner is divided into blue green and red part.George spin the spinner 300 times. It lands 91 times on blue 107 times on gree

Fed [463]

Estimated probability=number of outcomes in question/divided by total number of trials

ep=102/300

ep=51/150 (34%)

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3 years ago

When y is 4, p is 0. 5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equatio

dmitriy555 [2]

Answer:

$\dfrac{xy}{pm}=8$

Step-by-step explanation:

If x varies directly as the product of p and m, and inversely with y, the relation can be written ...

x = k(pm)/y . . . . where k is the constant of proportionality

This can be solved for k:

k = xy/pm

For the given values, the value of k is ...

k = (2)(4)/((0.5)(2)) = 8

Then the relation between the variables can be written ...

(xy)/(pm) = 8

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2 years ago

Suppose you are putting up a tent for a camping trip.

SSSSS [86.1K]

The length of the rope needed is 15 feet

Given the following parameters;

Height of the pole = 9 foot

The distance from the <u>rope away from the base </u>of the pole is 12 feet

Required

Length of the rope.

To get the length of the rope, you will use the pythagoras theorem expressed as:

c² = a² + b²

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

Learn more on Pythagoras theorem here: brainly.com/question/231802

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2 years ago

The slope of the line that passes through the points (6,9) and (11.2) is --​

The slope of the line that passes through the points (6,9) and (11.2) is --