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Ilya [14]
3 years ago
10

Five times the larger of two consecutive odd integers is equal to one more than eight times the smaller​

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

SMALLER INTEGER = 3

LARGER INTEGER = 5

Step-by-step explanation:

Given the following :

Five times the larger of two consecutive odd integers is equal to one more than eight times the smaller​

Let the larger = L, smaller = L - 2

5 × L = 8(L - 2) + 1

5L= 8L - 16 + 1

5L = 8L - 15

5L - 8L = - 15

-3L = - 15

Divide both sides by 3

L = 5

The smaller integer will be (L - 2)

(L - 2) = (5 - 2) = 3

HENCE, SMALLER INTEGER = 3

LARGER INTEGER = 5

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Answer this please !
SpyIntel [72]

Answer:

6

Step-by-step explanation:

\frac{y}{2} =x^{2} -7

\frac{a}{2} =2^{2} -7

\frac{a}{2} =-3

a=-6

\frac{b}{2} =1^{2} -7

\frac{b}{2} =-6

b=-12

From the calculations above, we learn that line l and the curve intersect at (2, -6) and (1, -12). Next, we will set up a system of linear equations to solve for the slope and the y-intercept of line l.

-6=2m+b        

-12=m+b

-24=2m+2b

18=-b

b=-18

-12=m-18

m=6

Therefore, the slope of line l is 6.

3 0
1 year ago
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A cartographer creates a map of Bucks County with a scale factor of 1 inch = 10 miles. The distance between Quakertown and Selle
Dennis_Churaev [7]
3 inches i think if im wrong then oof
3 0
3 years ago
Basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
Studentka2010 [4]

Answer:

12.4 ft

Step-by-step explanation:

Everything is done right so far.

Now to calculate the height of the tree, 12tan46, put the equation into a calculator.

Either a graphing calculator (make sure it is in degrees, not radians),

or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))

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2 years ago
Please consider the following values for the variables X and Y. Treat each row as a pair of scores for the variables X and Y (wi
Studentka2010 [4]

Answer:

The Pearson's coefficient of correlation between the is 0.700.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

The formula to compute covariance is:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

The formula to compute the variances are:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}

Consider the table attached below.

Compute the covariance as follows:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

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Thus, the covariance is 75.

Compute the variance of X and Y as follows:

V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\=(5\times 226)-(30)^{2}\\=230\\\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}\\=(5\times 135)-(25)^{2}\\=50

Compute the correlation coefficient as follows:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

            =\frac{75}{\sqrt{230\times 50}}

            =0.69937\\\approx0.70

Thus, the Pearson's coefficient of correlation between the is 0.700.

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Answer:

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3 years ago
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