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guajiro [1.7K]
3 years ago
5

Find the missing lengths of the sides.

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

b = 8√3 and c = 16

Step-by-step explanation:

<u>Points to remember</u>

If the angles of a right angled triangle with angles are 30°, 60, and 90 the their sides are in the ratio 1 : √3 : 2

<u>To find the unknown side lengths</u>

From the given figure we can see a right angled triangle

Angles are 30°, 60° and 90°

sides are in the ratio 1 : √3 : 2

1 : √3 : 2 = 8 : b : c

b = 8√3 and c = 8 * 2 = 16

Therefore b = 8√3 and c = 16

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In a city with a population of 1 million, 500 people have been diagnosed with cancer, whereas the rest of the people do not have
Leni [432]

Class distribution is considered to be normal using normal approximation to binomial.

A frequency distribution is a table that shows classes or intervals of data with a count of the number in each class.

Given :

In a city with a population of 1 million

i.e Population size (N) = 1 million = 1000000

From which 500 people have been diagnosed with cancer

Let X : No. of people  have been diagnosed with cancer

X = 500

Population proportion (p) :

p = XNp =5001000000p = 0.0005

So , the proportion of people who do not have cancer (q)=1-p

                                                                                               =1-0.0005

                                                                                               =0.9995

Here the distribution of X is Binomial

Such that :

i. No. of trials are fixed

ii. Probability of success is constant (p=0.0005)

iii. Possible outcomes are two (having cancer or not)

Here we can use normal approximation to Binomial

Because N is very large

So  class distribution is considered to be normal using normal approximation to binomial.

To learn more, visit:

brainly.com/question/9325204

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5 0
2 years ago
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi
Marrrta [24]
 y = x - 2.....the slope here is 1. A parallel line will have the same slope

y = mx + b
slope(m) = 1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = 1(2) + b
-2 = 2 + b
-2 - 2 = b
-4 = b

so ur parallel line is : y = x - 4

5 0
3 years ago
Students in a class are divided into 6 equal groups with at least 4 students in each group. how many students in the class? writ
Rashid [163]
There is no upper limit so, so x is greater than or equal to 24 (x ≥ 24)
3 0
3 years ago
A is the point with coordinates (5,9) B is the point with coordinates (d,17) The line AB has gradient 4 Work out the value of d​
yarga [219]

Answer:

d=9

Step-by-step explanation:

The gradient of straight line is given by

m=\frac{y_2-y_1}{x_2-x_1}

Plug in our knows

4=\frac{17-9}{d-5} \text{ Solve for d} \\\\4(d-5)=8\\\\d-5=4\\d=9

3 0
2 years ago
What are the coordinates of A after reflecting across the line x = 3?
Pachacha [2.7K]

Answer:

It would be (3,2) since it is being reflected over the line it is already on

Step-by-step explanation:

3 0
3 years ago
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