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3 years ago

What is the measure of

Mathematics

2 answers:

ad-work [718]3 years ago

8 0

Hi. I just took the test. The answer is 72.54

fomenos3 years ago

7 0

Answer: L = 1.27 radians.

Step-by-step explanation:

Here we have a triangle rectangle, for the triangle rectangle and one given angle θ we have the relations:

cos(θ) = (adjacent cathetus)/hypotenuse

sin(θ) = (opposite cathetus)/hypotenuse

tan(θ) = (opposite cathetus)/(adjacent cathetus)

Here we have the adjacent cathetus = 18in, and the hypotenuse = 60in.

Sowe can use the cosine relation:

Cos(L) = 18in/60in = 0.3

Acos(cos(L)) = L = Acos(0.3) = 1.266

We want to round it to the nearest hundredth, so we would have:

L = 1.27 radians.

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4.75 qt = fl oz. pls help me with complete answers

anzhelika [568]

Answer:

4.75 Qt = 152 Fl. Oz.

Step-by-step explanation:

1 Quart = 32 Fluid Ounce

4.75 Qt = 32 × 4.75 Fl. Oz.

4.75 Qt = 152 Fl. Oz.

3 0

3 years ago

In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti

kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation $Y=mx +b$ , where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

$\sum_{i=1}^n (x_i -\bar x)^2 =98775$

$\sum_{i=1}^n (y_i -\bar y)^2 =19.4$

$\bar x =26.36$

$\bar y =0.5188$

n= 40 represent the sample size

$\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94$

The total sum of squares is given by this formula:

$SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4$

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

$m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}$

And if we replace the values given we have:

$m=\frac{796.94}{98775}=0.008068$

We have another useful equation in order to find the sum of squares for the regression, given by:

$SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430$

And we know this equivalence:

$SST= SSR+SSE$

And solving for the sum of squares for the error we have:

$SSE=SST-SSR=19.4-6.430=12.97$

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

6 0

3 years ago

Please anyone made my friend please and talk with me

nadezda [96]

Answer:

ok I will talk with you

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7 0

2 years ago

Read 2 more answers

can you please just help me so that i dont fail this one because everything i've been doing i've been failing and it's because i

Julli [10]

1. r=5
2. x=2
3. x=-3
4. y=11
5. x=-11

6 0

3 years ago

Read 2 more answers

Find the equation of the graphed line.

GrogVix [38]

Answer:

a. y = -1/2x - 2

Step-by-step explanation:

The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.

<h3>slope</h3>

The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...

m = rise/run = -2/4 = -1/2

In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.

<h3>equation</h3>

The slope-intercept equation is ...

y = mx +b . . . . . . . slope m, y-intercept b

We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...

y = -1/2x -2 . . . . . matches choice A

_____

<em>Additional comment</em>

When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.

When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.

8 0

1 year ago