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3 years ago

What is the y-intercept of the graph of the equation 5x + (–2y) = 8?

Mathematics

2 answers:

alisha [4.7K]3 years ago

8 0

The y-intercept of the graph equation is (0,-4)

Lina20 [59]3 years ago

8 0

Answer:

-4

Step-by-step explanation:

5x + (–2y) = 8

-2y = -5x + 8

Divide both sides by -2

y = $\frac{5}{2}$ x - 4

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Pediatricians work an average of 48 h per week. The standard deviation is 12 hours. What percentage of pediatricians work more t

cricket20 [7]

Answer: 2.28 %

Step-by-step explanation:

Given : Mean : $\mu=\ 48$

Standard deviation : $\sigma= 12$

The formula to calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 72

$z=\dfrac{72-48}{12}=2$

The p-value = $P(2$

$1-0.9772498=0.0227502\approx0.0228$

In percent, $0.0228\times100=2.28\%$

Hence, the percentage of pediatricians work more than 72 h per week = 2.28 %

4 0

3 years ago

Jim was offered a job as a computer programmer making 65K per year. Another company offered Jim a position earning $1,800 a week

steposvetlana [31]

Answer:

since second company salary, $93,600, is more than first company yearly salary of $65000

Second company pays more

Step-by-step explanation:

To check what job pays more we have to compare yearly salary of both the company offer.

_________________________________________________

Yearly salary from one company = 65k = 65000

Weekly salary from another company = $1800

there are 52 weeks in a year

to get yearly salary , we need to multiply weekly salary with 52.

Yearly salary from another company = Weekly salary*no of wees in a year

Yearly salary from another company = 52*$1800 = $93,600

since second company salary, $93,600, is more than first company yearly salary of $65000

Second company pays more

7 0

3 years ago

Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =

Nat2105 [25]

Given :

Three points , P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .

To Find :

The length of sides .

Given :

We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :

$L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}$

Length of PQ :

$PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3$

Length of QR :

$QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5}$ :

Length of RP :

$RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6$

Hence , this is the required solution .

4 0

3 years ago

Need help plaz piccc belowww

Rom4ik [11]

Answer:

Ok hi

Step-by-step explanation:

3 0

3 years ago

(2p^3 · 2p)^2<br> HELLO I NEED HELP

kotykmax [81]

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2 We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

4 0

3 years ago