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3 years ago

Why is decrease an math a integer and an operation

1 answer:

6 0

Decrease means minus or '-'
it is an operation because it opperates or does something to the numbers. it is like a verb

an integer is the thing being operated on. it is like the noun

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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

Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5

Anna35 [415]

Answer:

y= -5x +24

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -5, m= -5.

Substitute m= -5 into the equation:

y= -5x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation:

When x= 3, y= 9,

9= -5(3) +c

9= -15 +c

c= 9 +15

c= 24

Thus, the equation of the line is y= -5x +24.

5 0

2 years ago

Help help help help pls

Monica [59]

Answer:

$\theta = 82.2^\circ$

Step-by-step explanation:

$Let \ \angle BAC = \theta$

Opposite = BC ,

Adjacent = AB = x = 3 ,

Hypotenuse = AC = y = 22

Using trigonometric ratios.

$sin \theta = \frac{opposite}{hypotenuse }\\\\cos \theta = \frac{adjacent}{hypotenuse}\\\\tan \theta = \frac{opposite}{adjacent}$

Since we have adjacent and hypotenuse we use cosine's ratio

to find the angle.

$cos \theta = \frac{x}{y} = \frac{3}{22} \\\\\theta = cos^{-1} \frac{3}{22} = 82.16 = 82.2^\circ$

6 0

2 years ago

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and roun

notka56 [123]

Answer:

1,177.5

Step-by-step explanation:

I have not done this is a while but the formula is v = 3.14 r^2 h

so 3.14 x 5^2 x 15

then 3.14 x 25 x 15

lastly multiply it all to get 1,177.5

Hope this helps <3

3 0

2 years ago

On the moon, a bag of sugar has a weight of 3.7 Newtons (N) and a mass of 2.26 kilograms (kg). Which of the following describes

ludmilkaskok [199]

Answer:

Step-by-step explanation:

mass will never change only weight will as weight is dependent on gravitational field strength

8 0

2 years ago