What is the answer to -3+-3

Which line is parallel to the line 8x + 2y = 12? ly 4 y ty ry 2

Serggg [28]

Answer:

4x+y=6

Step-by-step explanation:

5 0

3 years ago

Lia wants to find the sum of 17, 51, 10 and 13. Show two different ways that Lia could find the sum of these numbers.

Alekssandra [29.7K]

Since addition is commutative, she can add anyway she wants.
(17+51)+(10+13)
(51+10)+(17+13)
Hope this helps.

5 0

3 years ago

One student can paint a wall in 20 minutes. Another student can paint the same wall in 30 minutes. Working together, how long wi

Katarina [22]

1) in one minute for first wiil be 1/20

the other 1/30, it means that A paint in one minute 1/20 and B 1/30 then A+B in one minute 1/20 + 1/30 = 3+2/60 = 5 / 60, 5/60 = 1/12

if in one min they make 1/12 then in 12 min they paint all the wall

5 0

3 years ago

A contractor is required by a county planning department to submit one, two, three, four, or five forms (depending on the nature

Westkost [7]

Answer:

(a) The value of k is $\frac{1}{15}$ .

(b) The probability that at most three forms are required is 0.40.

(c) The probability that between two and four forms (inclusive) are required is 0.60.

(d) $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ is not the pmf of y.

Step-by-step explanation:

The random variable Y is defined as the number of forms required of the next applicant.

The probability mass function is defined as:

$P(y) = \left \{ {{ky};\ for \ y=1,2,...5 \atop {0};\ otherwise} \right$

(a)

The sum of all probabilities of an event is 1.

Use this law to compute the value of k.

$\sum P(y) = 1\\k+2k+3k+4k+5k=1\\15k=1\\k=\frac{1}{15}$

Thus, the value of k is $\frac{1}{15}$ .

(b)

Compute the value of P (Y ≤ 3) as follows:

$P(Y\leq 3)=P(Y=1)+P(Y=2)+P(Y=3)\\=\frac{1}{15}+\frac{2}{15}+ \frac{3}{15}\\=\frac{1+2+3}{15}\\ =\frac{6}{15} \\=0.40$

Thus, the probability that at most three forms are required is 0.40.

(c)

Compute the value of P (2 ≤ Y ≤ 4) as follows:

$P(2\leq Y\leq 4)=P(Y=2)+P(Y=3)+P(Y=4)\\=\frac{2}{15}+\frac{3}{15}+\frac{4}{15}\\ =\frac{2+3+4}{15}\\ =\frac{9}{15} \\=0.60$

Thus, the probability that between two and four forms (inclusive) are required is 0.60.

(d)

Now, for $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ to be the pmf of Y it has to satisfy the conditions:

$P(y)=\frac{y^{2}}{50}>0;\ for\ all\ values\ of\ y \\$
$\sum P(y)=1$

Check condition 1:

$y=1:\ P(y)=\frac{y^{2}}{50}=\frac{1}{50}=0.02>0\\y=2:\ P(y)=\frac{y^{2}}{50}=\frac{4}{50}=0.08>0 \\y=3:\ P(y)=\frac{y^{2}}{50}=\frac{9}{50}=0.18>0\\y=4:\ P(y)=\frac{y^{2}}{50}=\frac{16}{50}=0.32>0 \\y=5:\ P(y)=\frac{y^{2}}{50}=\frac{25}{50}=0.50>0$

Condition 1 is fulfilled.

Check condition 2:

$\sum P(y)=0.02+0.08+0.18+0.32+0.50=1.1>1$

Condition 2 is not satisfied.

Thus, $P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5$ is not the pmf of y.

7 0

3 years ago

-1(x+2)=2(3x-6) Please solve

Korvikt [17]

$-1(x+2)=2(3x-6)$
$-1(x+2)=2(3x-6)$ distributhing -1 through parantheses
$-1x+(-1)*2=2(3x-6)$
$-x-2=2(3x-6)$ distributhing 2 through parantheses
$-x-2=2*3x-2*6$
$-x-2=6x-2*6$
$-x-2=6x-12$ add x
$-2=6x-12+x$
$-2=7x-12$ add 12
$-2+12=7x$
$10=7x$ divide by 7
$x= \frac{10}{7}$
Answer : x= 1 3/7

6 0

3 years ago

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