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3 years ago

Solve system graphically y = 3x - 3 y = -x + 1

Mathematics

1 answer:

Mazyrski [523]3 years ago

5 0

Answer:

x=1

Step-by-step explanation:

when both are graphed the lines intersect at (1,0) or x=1

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The number of typing errors made by a typist has a Poisson distribution with an average of two errors per page. If more than two

wlad13 [49]

Answer: 0.6767

Step-by-step explanation:

Given : Mean = $\lambda=2$ errors per page

Let X be the number of errors in a particular page.

The formula to calculate the Poisson distribution is given by :_

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

Now, the probability that a randomly selected page does not need to be retyped is given by :-

$P(X\leq2)=P(0)+P(1)+P(2)\\\\=(\dfrac{e^{-2}2^0}{0!}+\dfrac{e^{-2}2^1}{1!}+\dfrac{e^{-2}2^2}{2!})\\\\=0.135335283237+0.270670566473+0.270670566473\\\\=0.676676416183\approx0.6767$

Hence, the required probability :- 0.6767

6 0

3 years ago

In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.

kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

$\frac{u}{sinU} = \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}$

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

$\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in$

The length of u is 7.4inches to nearest 10th of an inch

6 0

2 years ago

There are 1,200 students at Roosevelt middle school. There are 700 boys at the school. What percentage of the students at Roosev

Stella [2.4K]

Out of 1,200 students, 700 are boys. Therefore, the fraction would be $\frac{700}{1200}$ .

To convert this into a percentage, divide 700 by 1,200.

$\frac{700}{1200}$ = 0.583333 (or just 0.583 if you round)

Multiply 0.583 by 100 to get a percentage.

0.583 · 100 = 58.3

So, the percent of boys at the school is 58.3%.

4 0

2 years ago

5^3 x 7^3 = 35^3<br> Explain why this equation is true

grin007 [14]

What grade you in ?...

4 0

2 years ago

What is the value of x in the equation 2x + 3y = 6 ?

erastovalidia [21]

Answer:

x = -3/2y + 3

Step-by-step explanation:

2x + 3y = 6

2x = -3y + 6

x = -3/2y + 3

3 0

2 years ago