Four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party. PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%. A survey of 1000 voters asked each to identify the party that they would vote for in the next election. These results were PC=415, NDP=256, Liberal=271, and Green party = 58. Can we infer at 5% level of significance that the voter support is going to change in the next election?

For Observed I get 1000 and a 100 for the expected. The teacher says O-E always = 0???

Answers

Answer 1

Answer:

In no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.

Step-by-step explanation:

Given that four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party, and PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%, and the survey of 1000 voters asked each to identify the party that they would vote for in the next election, and its results were PC = 415, NDP = 256, Liberal = 271, and Green party = 58, to determine if it can be inferred at 5% level of significance that the voter support is going to change in the next election the following calculations must be performed:

PC = 40 - (415/1000 x 100) = 40 - 41.5 = -1.5

NDP = 30 - (256/1000 x 100) = 30 - 25.6 = 4.4

Liberal = 25 - (271/1000 x 100) = 25 - 27.1 = -2.1

Green Party = 5 - (58/1000 x 100) = 5 - 5.8 = -0.8

Therefore, as can be seen, in no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.


Related Questions

A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66

Answers

Answer:

66 students prefer the zoo

Step-by-step explanation:

I got it correct :)

If the cost, C(x), for manufacturing x units of a certain product is given by
C(x) = x2 – 15x + 34
find the number of units manufactured at a cost of $8350.

Answers

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing x units of a certain product is:

[tex]C(x)=x^2-15x+34[/tex]

We want to find the number of units manufactured at a cost of $8350. Therefore:

[tex]8350=x^2-15x+34[/tex]

Subtract 8350 from both sides:

[tex]x^2-15x-8316=0[/tex]

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = -15, and c = -8316. Thus:

[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]

Simplify:

[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]

Therefore, our solutions are:

[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

Destinee bought a tablet for $599 and enrolled in a data plan for $25
per month. The total amount y Destinee has paid towards the tablet after x months is found using an equation in the form y = mx + b.
What is the value of m and b?

Answers

Value of m=25x

Value of b=599

y=25x+599

Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.​

Answers

Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

[tex]A_1=3(2)=6\text{ cm}^2[/tex]

Since the height is 10 cm, the total volume of Design A is:

[tex]V_1=10(6)=60\text{ cm}^2[/tex]

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

[tex]A_2=3(2)=6\text{ cm}^2[/tex]

And the height is still 10 cm. So, the total volume of Design B is:

[tex]V_2=6(10)=60\text{ cm}^3[/tex]

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]

And since the height is 10 cm, the volume of Design C is:

[tex]V_3=6(10)=60\text{ cm}^3[/tex]

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.

I need help with this not a test

Answers

Answer:

15$

Step-by-step explanation:

small car is 5 times smaller so we have to multiply the prise of the small car by 5.

A researcher collected data on the speed of vehicles traveling through a construction zone on a state highway, where the posted speed limit was 25mph. The recorded speed of 20 randomly selected vehicles is given below: 2038243927402837293530313219331834213623 Calculate the sample mean, standard deviation, and the median of the above data. (Round to one decimal place

Answers

Answer:

[tex]\bar x =29.7[/tex]

[tex]\sigma = 6.81[/tex]

[tex]Median = 30.5[/tex]

Step-by-step explanation:

Given

[tex]Data:20,38,24,39,27,40,28,37,29,35,30,31,32,19,33,18,34,21,36,23[/tex]

[tex]n = 20[/tex]

Solving (a): The sample mean

This is calculated as:

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{20+38+24+39+27+40+28+37+29+35+30+31+32+19+33+18+34+21+36+23}{20}[/tex]

[tex]\bar x =\frac{594}{20}[/tex]

[tex]\bar x =29.7[/tex]

Solving (b): The standard deviation

This is calculated as;

[tex]\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{928.2}{20}}[/tex]

[tex]\sigma = \sqrt{46.41}[/tex]

[tex]\sigma = 6.81[/tex]

Solving (c): The median

First, sort the data in ascending order

[tex]Sorted:18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40[/tex]

The position of the median is calculated as:

[tex]Median = \frac{n+1}{2}[/tex]

[tex]Median = \frac{20+1}{2}[/tex]

[tex]Median = \frac{21}{2}[/tex]

[tex]Median = 10.5th[/tex]

The 10.5th item represents the mean of the 10th and 11th item.

So, median is:

[tex]Median = \frac{30+31}{2}[/tex]

[tex]Median = \frac{61}{2}[/tex]

[tex]Median = 30.5[/tex]

I need to finish this but im confused :(​

Answers

Answer:

basically, with each value of x, you replace it by x on the equation

Step-by-step explanation:

y=1/3(12)

y=4

--------

y=1/3(3)

y=1

--------

y=1/3(18)

y=6

-------

hope this helped!

what is 13 more than 3 times a number is 34 and what is the solution

Answers

Answer:

13 + 3x = 34

Variables:

x = random number

answer and show work and ill give brainliest

Answers

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The area of the semicircle is ...

  A = (1/2)πr²

  A = (1/2)(3.14)(4 m)² = 25.12 m²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(12 m)(8 m) = 48 m²

Then the total area of the composite figure is ...

  total area = semicircle area + triangle area

  = 25.12 m² + 48 m² = 73.12 m²

_____

Additional comment

The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.

You should talk to your teacher about this question. None of the offered choices is correct.

what is the average of 301,317,167 and 319​

Answers

Answer:

150658743

Step-by-step explanation:

(301 317 167+319)÷2=150658743

A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl. The baker then uses 52.76 grams of the mixture in a cake. How many grams of the mixture does the baker still have? Enter your answer in the box.​

Answers

Answer:

9.045 grams

Step-by-step explanation:

You add the 42.68+19.125=61.805

Then take 61.805- 52.76=9.045

The number of grams of mixture that the baker still has is 9.045 grams.

What is Addition?

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Given that,

A baker mixes 42.68 grams of flour and 19.125 grams of sugar in a bowl.

Total grams of flour and sugar = 42.68 + 19.125 = 61.805 grams

So,

Total weight of the mixture = 61.805 grams

The baker then uses 52.76 grams of the mixture in a cake.

Remaining grams of the mixture = 61.805 grams - 52.76 grams

                                                      = 9.045 grams

Hence the remaining mixture is 9.045 grams.

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A ship left at the port at 9:00 p.m. and arrived at the next port at 5:00 a.m.
the next day. The distance between the 2 ports was 200 km.
Find the average
speed of the ship.
show solution​

Answers

Answer:

25km/h

Step-by-step explanation:

It would be helpful to understand the 24 hour clock in this case so you don't get confused by the AM and PM. For reference, 5 AM is technically 17AM, since 5 + 12 = 17.

The ship departed at 9pm, subtract that from 17 and you'll get 8 hours.

17 - 9 = 8

We know that there are 8 hours total, and since the ship traveled 200km, we set up a fraction, which is 8hr/200km. Since we want the average speed, we'll go by km/hr. To do this, we need to set the hrs to 1.

8/x = 1

x = 8

200/8 = 25

Your answer is 25km/hr

There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?

Answers

Answer:

[tex]C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (-5,-1)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D = (2,3)[/tex]

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_1,y_2)[/tex]

[tex]C = (x_2,y_1)[/tex]

[tex]D = (x_2,y_2)[/tex]

By comparing the general coordinates with the given coordinates, we have:

[tex]x_1 = -5[/tex] --- see A and B

[tex]y_1 = -1[/tex] --- see A and C

[tex]x_2 = 2[/tex] ---- see C and D

[tex]y_2 = 3[/tex] --- see B and D

So, we have:

[tex]C = (x_2,y_1)[/tex]

[tex]C = (2,-1)[/tex]

Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?

Answers

Answer: A. -sqrt (3)/2, 1/2

To get from radians to degrees, you replace the pi symbol with 180° and solve

So, (5 • 180) / 6 = 150°

150° makes a 30° angle, as the nearest x axis is the negative x axis at 180°.

As we know, a 30°, 60°, 90° triangle has sides sqrt(3)/2 and 1/2.

Since the 30° angle is on the x axis, sqrt(3)/2 will be the x value and 1/2 will be the y value. And since the triangle is in the negative x, positive y quadrant, 1/2 will be positive and sqrt(3)/2 will be negative. Giving you (-sqrt(3)/2, 1/2)

Can somebody please help me with this question will give brsinlest

Answers

Answer:

Angle #1: 115°

Angle #2: 64°

Angle #3: 90°

Angle #4: 106°

Angle #5: 165°

Step-by-step explanation:

you subtract the ones that give you the exterior angle by 180 because it is a supplementary angle. that means that both angles add up to 180. the little square next to angle three means its a right angle. this means it is exactly 90°. the last angle is a little tricky. you need to add up all the angles you have and then you if you get 540 then your answer is correct because all interior angles of a pentagon must add up to 540.

Hope you have a great day and I hope this helped you out!

<3 :- )

HELP DUE NOW BRAINLEST AND A THANKS

Answers

Answer:

its c bc it starts at 30

Step-by-step explanation:

If you shift the linear parent function, f(x) = x, down 6 units, what is the
equation of the new function?

Answers

F(x)=x-6 because -6 is the y value


- What is the common difference of the AP 11,-1,-13, -25, ... ?

Answers

Answer:

-12 is the common differences

I believe it would be -12 I’m not sure tho

a clothing store sells t-shirts,t,for $8 a shirt, and shorts,s,for $12 each. the store earned $180 revenue last month.the store sold three times as many t-shirts as shorts. using the method of substitution, how many t-shirts and shorts did did the store sell?

Answers

Answer:

Let x be the variable for a t-shirt for $8.

Let y be the variable for shorts for $12.

Let z be the variable for the hats that cost $10 each.

We have the expression 1 below:

$464 = $8x + $12y + $10z

other expressions:

3z = x

2z =y

By substitution we can solve each variable:

464 = 8(3z) + 12(2z) + 10z

464 = 24z +24z +10z

464 = 58z

z = 8

Solve for x andy:

3z=x

3*8 = 24=x

2z=y

2*8 = 16 = y

The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.

Step-by-step explanation:

Khan academy pls help!

Answers

Answer:

The answer is b

Step-by-step explanation:

3 2/6+8 2/9-1 1/2 ?????????

Answers

Answer:

10 1/18

Step-by-step explanation:

3 2/6 + 8 2/9 - 1 1/2 = ?

First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.

3 6/18 + 8 4/18 - 1 9/18 = ?

Now, we solve.

3 6/18 + 8 4/18 - 1 9/18 = 10 1/18

Which graph shows a line with an x-intercept of (-4, 0) and a slope of −2/5

Answers

What do the graphs look like?

vzxxbxcbxvzbfdbnjdznvnjzkxnvjnjnjdb

lolhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjodskvxhugvgxjchvgkzjgvcgkjzx

Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2

Answers

Answer:

(2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 5y = 9 → (1)

3x + 4y = 2 → (2)

Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term

8x - 20y = 36 → (3)

15x + 20y = 10 → (4)

Add (3) and (4) term by term to eliminate y

23x + 0 = 46

23x = 46 ( divide both sides by 23 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

3(2) + 4y = 2

6 + 4y = 2 ( subtract 6 from both sides )

4y = - 4 ( divide both sides by 4 )

y = - 1

solution is (2, - 1 )

The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.4 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.22 psi and 0.24 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.

Answers

Answer:

H0 : u ≥ 10  against the claim Ha: u < 10

Step-by-step explanation:

The mean breaking strength of a ceramic insulator must be at least 10 psi.

(At least means greater or equal to ). As it is already given in the data the null and alternate hypotheses will be formulated according to it.

H0 : u ≥ 10  against the claim Ha: u < 10

The null hypothesis is the mean breaking strength of a ceramic insulator must be at least 10 psi

and the alternate hypothesis is

the mean breaking strength of a ceramic insulator is less than 10 psi

Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A new quadrilateral is created, using a scale factor of 0.25. Which of the following are side lengths of the new quadrilateral? Choose all that apply: 1.) 1.75 2.) 3 3.) .75 4.) 5 5.) 2.25 6.) 1.25​

Answers

Answer:

1, 2, and 6

Step-by-step explanation:

5*.25=1.25 7*.25=1.75 12*.25=3

Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale)


Answers

Answer:

360 mi^3

Step-by-step explanation:

The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values

solid  1

length = 11 - 4 = 7 mi

base area = length x width = 7 x 4 = 28 mi^2

V = base area x height = 28 x 6 = 168 mi^3

solid 2

base area = 8 x 4 = 32 mi^2

V = 32 x 6 = 192 mi^3

total volume: 168 + 192 = 360 mi^3

The volume of the figure is 360 mi³.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given is a figure where two rectangular boxes are put on top of each other.

Volume of a rectangular prism = L × W × H

Here L is the length, W is the width and H is the height.

The dimensions of the rectangular prism are :

Larger one having L = 11 mi, W = 6 mi and H = 4 mi

Smaller one on top having L = 4 mi, W = 6 mi and H = 8 - 4 = 4 mi.

Volume of the figure = volume of larger box + Volume of smaller box

                                  = (11 × 6 × 4) + (4 × 6 × 4)

                                  = 264 + 96

                                  = 360 mi³

Hence the volume of the figure is 360 mi³.

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PLEASE HURRY
A public radio station raised 25% more during this year's fund-
raiser than it raised last year. If p represents the amount raised
by last year's fund-raiser, which expression represents the
amount raised this year?

Answers

Answer:

1.25p

Step-by-step explanation:

p = amount raised last year

amount raised this year = p +(25% of p)

=1 p+0.25p

=p(1+0.25)

=1.25p

Which expression can be used to simplify this expression? -2 divided by 1 and 3/4

Answers

I think the answer is -1.1428

Peyton is going to invest $440 and leave it in an account for 5 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Peyton to end up with $520?

Answers

Answer:

The required interest rate would be of 3.4% a year.

Step-by-step explanation:

The amount of money earned in compound interest, after t years, is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial investment and r is the interest rate, as a decimal.

Peyton is going to invest $440 and leave it in an account for 5 years.

This means that [tex]P(0) = 440, t = 5[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 440(1+r)^5[/tex]

What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?

This is r for which P(t) = 520. So

[tex]P(t) = 440(1+r)^5[/tex]

[tex](1+r)^5 = \frac{520}{440}[/tex]

[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]

[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]

[tex]1 + r = 1.034[/tex]

Then

[tex]r = 1.034 - 1 = 0.034[/tex]

The required interest rate would be of 3.4% a year.

Suppose a car uses one gallon of gasoline for
every 20 miles traveled.
1) If a gallon of gasoline costs $2.75, how much will the gasoline cost to
travel 300 miles in the car?
A) $22.00
B) $27.50
C) $32.75
D) $41.25

Answers

Answer:

the awnser is D) $41.25.

The anwser is d (41.25 )
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