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malfutka [58]
3 years ago
9

425 school children were surveyed about what they want to be when they grow up, out of a choice of five professions. The results

were Teacher 80, Doctor 105, Lawyer 70, Police officer 70, Firefighter 100. a. Obviously these particular children preferred some occupations over others. Test whether their preference reflects a real difference in the population or not. b. Which of the categories contributed the most to the chi-squared test statistic?
Mathematics
1 answer:
hammer [34]3 years ago
6 0
Given:

425 school children

Teacher : 80
Doctor : 105
Lawyer : 70
Police Officer : 70
Firefighter : 100
Total = 425

After applying Pearson's chi-squared test, it is concluded that this data reflects a real difference in the population. 

x^{2} = summation ((O_i - E_i)^2/E_i)
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Help me please. lesson 9.3 converse if the pythagorean theorem
mojhsa [17]

Answer:

acute

Step-by-step explanation:

Here are some helpful rules that will help you out in the future with these questions.

If...

a^2 + b^2 = c^2 its a right triangle

a^2 + b^2 < c^2 its obtuse

a^2 + b^2 > c^2 its acute

so...

Since 6+8>10

its acute

5 0
1 year ago
In a box there are six envelopes each containing two cards. Three of the envelopes contain two red cards, two of them contain a
Sphinxa [80]

Answer:

\frac{2}{5}

Step-by-step explanation:

3 envelopes having 2 red card

2 envelopes having 1 red card and 1 black card

1 envelope having 2 black cards

We are given that . An envelope is selected at random and a card is withdrawn and found to be red.

So, No. of ways of envelope having red card = 3+2 = 5

No. of required ways of envelope having 1 red card and 1 black card = 2

So, probability of getting an envelope having 1 red card and 1 black card = \frac{2}{5}

Hence The chance the other card is black is \frac{2}{5}

5 0
2 years ago
find the constant m and b in the linear function f(x)=mx+b so that f(6)=9 and the straight line represents by f has slope -4
Charra [1.4K]

Answer:

The constant m=-4, and b=33

Step-by-step explanation:

F(x)= MX+b

If f(6)=9 then x=6, m= -4

9= -4(6) + b

9= -24 + b

b= 9 + 24

b= 33

Therefore the constant m, which is the slope is -4 and b which is the intercept is 33

4 0
3 years ago
A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate radius of a sphere that has the same sur
Mama L [17]

If the surface area of the cylinder is 12π square meters. Then the radius of the sphere will be 1.7 meters.

<h3>What is a cylinder?</h3>

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a height of 4 meters and a radius of 1.5 meters.

Then the approximate radius of a sphere that has the same surface area as the cylinder.

We know that the Surface area of the cylinder will be is given as

Surface area = 2πrh

Surface area = 2 x π x 1.5 x 4

Surface area = 12π square meters

Then we have

Surface area of sphere = surface area of cylinder

                              4πr² = 12π

                                  r² = 3

                                   r = 1.7 meters

More about the cylinder link is given below.

brainly.com/question/3692256

#SPJ1

4 0
1 year ago
-9 ÷ ____ =5<br><br><br>(fill the blank)​
Alona [7]

Answer:

The answer is -1.8

Step-by-step explanation:

5 x -1.8 = -9 = -9 divided by -1.8 = 5

3 0
2 years ago
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