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klemol [59]
3 years ago
13

April is an avid chess player. She sets up a coordinate system on her chess board so she can record

Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer:

6.7\ units

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(4,2) and (7,8)

substitute the values in the formula

d=\sqrt{(8-2)^{2}+(7-4)^{2}}

d=\sqrt{(6)^{2}+(3)^{2}}

d=\sqrt{45}\ units

d=6.7\ units

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Without graphing, tell whether the point (10, 37) is on the graph of y = 3x + 7.
slava [35]

Answer: YES

Plug in the numbers in your head.

y=3(10)+7

y=30+7

y=37 which is the y intercept

7 0
3 years ago
The questions is on the picture
allochka39001 [22]

Answer:

EASY:

Step-by-step explanation:

-7 > -12    

2 > -2

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5 0
3 years ago
Read 2 more answers
___ x 1,000=500<br> Please help Thank you
qaws [65]

Answer:

0.5

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
According to a report, 11 people got colds for every 2000 people.
lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......

where, n = number of trials (samples) taken = 1200 people

           r = number of success = one or more people got a cold

           p = probability of success which in our question is probability  

                 that people got colds, i.e; p = \frac{11}{2000} = 0.55%

Let X = <u><em>Number of people in Arbalest who got a cold</em></u>

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X \geq 1)

                     P(X \geq 1) =  1 - P(X = 0)  

                                  =  1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}

                                  =  1- (1 \times 1 \times 0.9945^{1200})

                                  =  0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0
3 years ago
6(7s+9) simplified. Please include how you solved it!
Ilia_Sergeevich [38]
The answer: 42s+54

Explanation: (6)(7s+9) you break it up and do
(6)(7s)+(6)(9) which gets you the answer.
7 0
2 years ago
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