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prisoha [69]
2 years ago
15

The shaded shape is a square. What are the coordinates of A and B?

Mathematics
1 answer:
pickupchik [31]2 years ago
5 0

the length of the bottom side is 17-3 = 10


to be a square all sides need to be 10 units.


A(7,13)

B (17,13)

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Calculate the approximate probability that at least 2 children have been diagnosed with ASD among the 200 selected children.
mixas84 [53]

Answer:

The approximate probability that at least 2 children have been diagnosed with ASD among the 200 selected children is

0.01 or 1%.

Step-by-step explanation:

Number of selected children = 200

The probability of no child been diagnosed with ASD = P(None) = 198/200 = 0.99

Therefore, the probability of at least two children been diagnosed with ASD = 1 - 0.99 = 0.01.

This is the same as:

If 2 children have been diagnosed with ASD,

therefore, the approximate probability that at least 2 children have been diagnosed is:

2/200 = 0.01.  This value is equal to 1%.

The above are summed up in:

The probability of at least one = 1/200 = 0.05

Therefore, the probability of at least two = 0.05 * 2 = 0.01

b) Generally, to find the probability of at least one event happening, we calculate the probability of none and then subtract that result from 1. That is, P(at least one) = 1 – P(none).  For two events happening, the sum of the probability of at least one in two places is deducted from 1 to get the probability of at least two.

4 0
3 years ago
What is the area of a circle with a diameter of 12.6 in.?
Zepler [3.9K]

Hey there! I'm happy to help!

To find the area of a circle, you square the radius and then multiply by pi (3.14 in our case).

The radius is half of the diameter.

12.6/2=6.3

We square this.

6.3²=39.69

We multiply by 3.14

39.69×3.14=124.6266

We round to the nearest hundredth, giving us an area of 124.63 in².

Now you can find the area of a circle! Have a wonderful day! :D

5 0
3 years ago
Find a parametrization of the line in which the planes x + y + z = -6 and y + z = -8 intersect.
rewona [7]

Answer:

L(x,y) = (2,-8,0) + (0,-1,1)*t

Step-by-step explanation:

for the planes

x + y + z = -6  and y + z = -8

the intersection can be found subtracting the equation of the planes

x + y + z - ( y + z ) = -6 - (-8)

x= 2

therefore

x=2

z=z

y= -8 - z

using z as parameter t and the point (2,-8,0) as reference point , then

x= 2

y= -8 - t

z= 0 + t

another way of writing it is

L(x,y) = (2,-8,0) + (0,-1,1)*t

6 0
3 years ago
The Z-score is based on the concept of the normal distribution, the fact that we can expect 95% of the values in the distributio
Dennis_Churaev [7]

Answer:

C.) In perfect health.

Step-by-step explanation:

Given an average weight of 15kg and a standard deviation of 3kg for children of 4 years. Since the weight is based on a normal Z - distribution of 95% which is mean ± 2(standard deviations)

Mean weight interval is :

15 - 2(3) ; 15 + 2(3)

(9 ; 21) ; this weight interval could be interpreted to mean the normal or perfect weight value.

Therefore, given that the child weighs 12kg

Since, 12 kg falls within in the interval, we can conclude that the child is in perfect health.

7 0
3 years ago
On a road trip, a family drives 350 miles
ExtremeBDS [4]

Answer:

1.14 days (approximately)

Step-by-step explanation:

Family drives 350 miles per day

Let d = days

Equation: 350d = 400

d = 400/350

d is approximately 1.14 days

If you want to answer it without decimals, you should say around 2 days since it's going to take more than one day to travel.

5 0
3 years ago
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