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3 years ago

What is the distance between (7,-2) and (3,1)

Mathematics

1 answer:

ale4655 [162]3 years ago

4 0

Answer:

Distance = 5

Step-by-step explanation:

x2 = 3

y2 = 1

x1 = 7

y1 = -2

=> d = Square root of (3 - 7)^2 + (1 + 2)^2

=> d = Square root of (-4)^2 + (3)^2

=> d = Square root of 16 + 9

= d = Square root of 25

d = 5

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Graph the line passing through the given point and having the given slope.<br> (1,-1), m= - 3/4

serious [3.7K]

Answer: y=-3x/4 -1/4

Step-by-step explanation:

y=mx+b

-1=-3/4 * 1 +b

-1=-3/4 + b

(-1=-3/4 + b)*4

-4=-3+4b

4b=-1

b=-1/4

y=-3x/4 -1/4

7 0

1 year ago

In an article about the cost of health care, USA Today reported that a visit to a hospital emergency room has a mean cost of $14

Misha Larkins [42]

Answer: 0.8461

Step-by-step explanation:

Given : $\mu=144\ \ ; \sigma=392$

Let x be the random variable that represents the cost for the hospital emergency room visit.

We assume that cost for the hospital emergency room visit is normally distributed .

z-score for x=1000 ,

$z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]$

Using z-value table , we have

P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642

=0.8461358≈0.8461 [Rounded nearest 4 decimal places]

Hence, the probability that the cost will be more than $1000 = 0.8461

3 0

2 years ago

Which point represents the opposite of -2?

vekshin1

Answer:

your answer is point D represent

8 0

2 years ago

Is there a easy way to subtract fractions with unlike deiomaters

Angelina_Jolie [31]

Answer:

Yes

Step-by-step explanation:

It's just like adding fractions where you have to find the common denominator so the fractions can be subtracted.

<u>Example</u>

<u /> $\displaystyle \frac{1}{2}-\frac{1}{3}=\frac{1*3}{2*3}-\frac{2*1}{2*3}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}$

8 0

2 years ago

Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets for a ﬂight that holds only

bekas [8.4K]

Answer: a) 0.9961, b) 0.9886

Step-by-step explanation:

Since we have given that

Probability that does not show up = 0.10

Probability that show up = 0.90

Here, we use "Binomial distribution":

n = 125 and p = 0.90

Number of passengers that hold in a flight = 120

a) What is the probability that every passenger who shows up can take the ﬂight?

$P(X\leq 120)=\sum_{x=0}^{120}^{125}C_x(0.90)^x(0.10)^{125-x}=0.9961$

(b) What is the probability that the ﬂight departs with empty seats?

$P(X\leq 119)=\sum _{x=0}^{119}^{125}C_x(0.90)^x)(0.10)^{125-x}=0.9886$

Hence, a) 0.9961, b) 0.9886

3 0

2 years ago