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worty [1.4K]
3 years ago
10

Solve -103 = 6x + 17. (A) -16 (B) 16 (C) -20 (D) 20

Mathematics
2 answers:
Alla [95]3 years ago
7 0

Answer:

C.

Step-by-step explanation:

-103 = 6x + 17

-  17          - 17

-120 = 6x (+ 0)

-120 = 6x

——————

6x ÷ 6 = x

-120 ÷ 6 = -20

Therfore x = -20

andrew11 [14]3 years ago
3 0
The correct answer is C (-20) let me know if you want to know how I got that answer
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If triangle JKL is classified as isosceles, which statement is true?
VMariaS [17]

Answer: At least two sides are congruent

Step-by-step explanation:

Here is the complete question:

If a triangle JKL is classified as isosceles, which statement is true?

a. At least two sides are congruent.

b. Two sides are perpendicular.

c. All three sides are congruent.

d. Two sides are parallel.

An isosceles triangle is a triangle that has at least two sides that are equal. An isosceles triangle has two equal sides and also two equal angles.

An angle is said to be congruent if it has the same angle either in degrees or radians. Such angles don't necessarily have to point in same direction. Therefore, it is true that at least two sides are congruent.

6 0
3 years ago
If X and Y are independent continuous positive random
Leni [432]

a) Z=\frac XY has CDF

F_Z(z)=P(Z\le z)=P(X\le Yz)=\displaystyle\int_{\mathrm{supp}(Y)}P(X\le yz\mid Y=y)P(Y=y)\,\mathrm dy

F_Z(z)\displaystyle=\int_{\mathrm{supp}(Y)}P(X\le yz)P(Y=y)\,\mathrm dy

where the last equality follows from independence of X,Y. In terms of the distribution and density functions of X,Y, this is

F_Z(z)=\displaystyle\int_{\mathrm{supp}(Y)}F_X(yz)f_Y(y)\,\mathrm dy

Then the density is obtained by differentiating with respect to z,

f_Z(z)=\displaystyle\frac{\mathrm d}{\mathrm dz}\int_{\mathrm{supp}(Y)}F_X(yz)f_Y(y)\,\mathrm dy=\int_{\mathrm{supp}(Y)}yf_X(yz)f_Y(y)\,\mathrm dy

b) Z=XY can be computed in the same way; it has CDF

F_Z(z)=P\left(X\le\dfrac zY\right)=\displaystyle\int_{\mathrm{supp}(Y)}P\left(X\le\frac zy\right)P(Y=y)\,\mathrm dy

F_Z(z)\displaystyle=\int_{\mathrm{supp}(Y)}F_X\left(\frac zy\right)f_Y(y)\,\mathrm dy

Differentiating gives the associated PDF,

f_Z(z)=\displaystyle\int_{\mathrm{supp}(Y)}\frac1yf_X\left(\frac zy\right)f_Y(y)\,\mathrm dy

Assuming X\sim\mathrm{Exp}(\lambda_x) and Y\sim\mathrm{Exp}(\lambda_y), we have

f_{Z=\frac XY}(z)=\displaystyle\int_0^\infty y(\lambda_xe^{-\lambda_xyz})(\lambda_ye^{\lambda_yz})\,\mathrm dy

\implies f_{Z=\frac XY}(z)=\begin{cases}\frac{\lambda_x\lambda_y}{(\lambda_xz+\lambda_y)^2}&\text{for }z\ge0\\0&\text{otherwise}\end{cases}

and

f_{Z=XY}(z)=\displaystyle\int_0^\infty\frac1y(\lambda_xe^{-\lambda_xyz})(\lambda_ye^{\lambda_yz})\,\mathrm dy

\implies f_{Z=XY}(z)=\lambda_x\lambda_y\displaystyle\int_0^\infty\frac{e^{-\lambda_x\frac zy-\lambda_yy}}y\,\mathrm dy

I wouldn't worry about evaluating this integral any further unless you know about the Bessel functions.

6 0
3 years ago
Can you help? thank you
algol [13]

Answer:

1

Step-by-step explanation:

To find f(4), find the point in the graph where x = 4 .

And if you look at the point where x = 4 ; y = 1 .

So the answer is : 1

6 0
3 years ago
I NEED HELP ☹️☹️!!!!!!
lianna [129]
Answer: 4/3x - 1 = y
7 0
3 years ago
Read 2 more answers
In Oregon, the mean annual rainfall in Rockaway Beach is 118.88 inches and the mean annual rainfall in Falls City is 122.28 inch
JulsSmile [24]

Answer:

Step-by-step explanation:

Based on this information, you could conclude that the annual rainfall in Falls City is generally more than that of the annual rainfall in Rockaway Beach. This is based on the information provided since the numbers given are the mean annual rainfall. Meaning that this is the average amount of rain that falls in any given year in that specific location. Since the amount provided for Falls City is a larger number then it means it gets more rainfall than Rockaway Beach on average and would therefore be the safest conclusion that can be made.

5 0
2 years ago
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