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Natalka [10]
3 years ago
8

What is the area of a rectangle with a base of 23 feet and a height of 6 feet

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Area of rectangle = l × b

= 23 × 6

= 138 feet

hope this helps

plz mark it as brainliest!!!!!!!

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45+ 1250 + x = 3049<br><br> What is x?
vovangra [49]

Answer:

x is equal to 1754, so it's 1754

4 0
2 years ago
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Using a Line to Find a Point-Slope Equation and the Equivalent Function A coordinate grid with a line passing through the points
RoseWind [281]

Answer:

y = x/4 -1/2

Step-by-step explanation:

given coordinates : ( -2, -1 ) and ( 2 , 0 )

gradient = y2 - y1 / x2 - x1

               = 0 - -1 / 2 - -2

               = 1/4

equation of line:

y - y1 = m( x - x1 )

y - 0 = 1/4 ( x - 2 )

y = x/4 -1/2

the line shown below to confirm:

5 0
2 years ago
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Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?
kramer

Answer:

y= -⅓x +⅓

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

This form is also known as the point-slope form.

Since the slope is given to be -⅓, m= -⅓.

y= -⅓x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -5, y=2,

2= -⅓(-5) +c

2 =  \frac{5}{3}  + c \\ c = 2 -  \frac{5}{3}  \\ c =  \frac{1}{3}

Thus, the equation of the line is y= -⅓x +⅓.

7 0
3 years ago
Simplify the expression by combining like terms. 16+8−3+6−9
lyudmila [28]
Answer=18
First step combine the positive like terms
16+8+6
|
|
\/
30
Second step is to combine negative like terms with 30
30-3-9

When you do this you add 9 and 3 together since they are similar to each other so it equals 12 there for the equation becomes.....
30-12

Final answer 18
4 0
3 years ago
A linear regression model is fitted to the data x y 37.0 65.0 36.4 67.2 35.8 70.3 34.3 71.9 33.7 73.8 32.1 75.7 31.5 77.9 with x
andrey2020 [161]

Answer:

b0= 144.59

b= -2.12

Se²= 1.02

99%CI E(Y/X=35): [68.78; 71.99]

Step-by-step explanation:

Hello!

I've arranged the given data:

X: 37.0, 36.4, 35.8, 34.3, 33.7, 32.1, 31.5

Y: 65.0, 67.2, 70.3, 71.9, 73.8, 75.7, 77.9

The equation of the linear regression model is:

Yi= β₀ + βXi + εi

Where

Yi is the dependent variable

Xi is the independent variable

εi represents the errors or residues

β₀ is the intercept of the line

β is the slope

The conditions to make a linear regression analysis are:

For each given value of X, there is a population of Y~N(μy;σy²)

Each value of Y is independent of the others.

The population variances of each population of Y are equal.

From these conditions the following characteristic is deduced:

εi~N(0;σ²)

The parameters of the regression are:

β₀, β, and σ²

If the conditions are met then you can estimate the regression line:

Yi= bo * bXi + ei.

And the point estimation of the parameters can be calculated using the formulas:

β₀ ⇒ b0= (∑y/n)-b(∑x/n)

β ⇒ b= [∑xy- ((∑x)(∑y))/n]/(∑x²-((∑x)²/n))

σ²⇒ Se²= 1/(n-2)*[∑y²-(∑y)²/n - b²(∑x²-(∑x)²/n)]

n= 7

∑y= 501.80

∑y²= 36097.88

∑x= 240.80

∑x²= 8310.44

∑xy= 17204.87

b0= 144.59

b= -2.12

Se²= 1.02

The estimated regression line is:

Yi= 144.59 -2.12Xi

You need to calculate a 99%CI E(Y/X=35), the formula is:

(b0 + bX0) ± t_{n-2;1-\alpha /2}*\sqrt{S_e^2(\frac{1}{n}+\frac{(X_0-X[bar])^2}{sumX^2-(\frac{(sumX)^2}{n} )} )}

(144.59 + (-2.12*35)) ± 4.032*\sqrt{1.02(\frac{1}{7}+\frac{(35-34.4)^2}{8310.44-(\frac{(240.80)^2}{7} )} )}

[68.78; 71.99]

With a 99% confidence level youd expect that the interval [68.78; 71.99] contains the true value of the average of Y when X= 35.

I hope it helps!

6 0
3 years ago
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