Triangle MNO is congruent to Triangle PQR. What is the measure of

This question is incomplete, the complete question is;

Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Calculate the chi-square test statistic to test the claim that the number of wins is uniformly distributed (equally likely) across the different starting positions. The results are based on 240 races.

starting position:    1       2      3       4      5       6

Number of wins :  44    33     50    32    45    36

options

a) 15.541

b) 9.326

c) 6.750

d) 12.592

Answer:

the chi-square test statistic is 6.75

Option c) 6.750 is the correct answer

Step-by-step explanation:

Given that;

starting position:    1       2      3       4      5       6

Number of wins :  44    33     50    32    45    36

Given that we have 240 races

Using x² test.

we have to calculate the expected frequency

so

E(1) = 240 × 1/6 = 40

E(2) = 240 × 1/6 = 40

E(3) = 240 × 1/6 = 40

E(4) = 240 × 1/6 = 40

E(5) = 240 × 1/6 = 40

E(6) = 240 × 1/6 = 40

Now we know that,

x²_cal = [∑( Oi - Fi)²] / Fi

so

x²_cal  = (44-40)²/40 + (33-40)²/40 + (50-40)²/40 + (32-40)²/40 + (45-40)²/40 + (35-40)²/40

= 0.4 + 1.225 + 2.5 + 1.6 + 0.625 + 0.4

=  6.75

Therefore the chi-square test statistic is 6.75

Option c) 6.750 is the correct answer

Picture of the right answers

Hence, the quotient of the rational expression given below is x-3.

How to solve?

To solve the division we will use basic properties of rational numbers here.

The first step is to factor numerator/denominator if possible.

To divide the expressions follow the following steps

1.leave the first fraction as it is

2. Convert division to multiplication

3.Turn the second fraction upside down

([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12

=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)

=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9

By splitting the quadratic equation into factors we get,

[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)

and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)

=2(x+3)(x+2)/(x+3)(x-3)

=2(x+2)/(x-3)

hence, the quotient of the given ration expression is x-3.

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Answer:

7 6/18

Step-by-step explanation:

Answer:

3.71851851852

Step-by-step explanation:

Answer:

its first one

Step-by-step explanation:

37.5/15=2.5

42.5/17=2.5

52.5/21=2.5

Answer:

I would have to guess that the MA of the screwdriver is 120N.

Step-by-step explanation:

I think this because you are adding 30 and 90, since there are two forces being acted on the same place in the same direction.

#teamtrees #WAP (Water And Plant)

#teamtrees #WAP (Water And Plant)

Answer:

Tan(x)

Step-by-step explanation:

JUST TOOK THE TEST

tan(x) is equivalent to 1/sin2x - cos2x/sin2x. Option a is correct.

To determine equivalent 1/sin2x - cos2x/sin2x.

tan(x) is tangent of x here, tan is trigonometric operator.

Here,
= 1/sin2x - cos2x/sin2x
= (1-cos2x)/sin2x
= (2sin²x)/2sinxcosx
= sin(x)/cos(x)
= tan(x)

Thus, tan(x) is equivalent to 1/sin2x - cos2x/sin2x.

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Answer: (x^2 -6x +10)(x - 2)

All the steps are shown in the picture below:

Answer:

tan (pi/35)

Step-by-step explanation:

edge 2020

The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The trigonometric function is given below.

⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]

We know that the formula,

tan (a + b) = [tan a - tan b] / [1 + tan a) × tan b]

Then the expression is written as,

⇒ [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)]

⇒ tan [(3π/7) + (2π/5)]

⇒ tan (29π / 35)

The expression [tan (3π/7) - tan (2π/5)] / [1 + tan (3π/7) × tan (2π/5)] as a single trigonometric function will be tan (29π / 35).

More about the trigonometry link is given below.

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Answer:

Option 1 and the bottom right answer.

Step-by-step explanation:

Answer:6.875

Step-by-step explanation:

Answer:

-6x-12=-5

Step-by-step explanation:

Just distribute

Answer:

£20942.04

Step-by-step explanation:

The total cost of the car includes its purchasing price and the cost of importing it into the UK.

Cost of the car in pounds = 24000/1.45 =  £16,551.7

Total cost of the car = £16,551.7 + £900 = £17,451.7

If the profit made is 20%

Then;

Profit % = selling price - cost price/cost price * 100/1

Let selling price = SP

Cost price = CP

20 = SP - CP/CP  * 100/1

20 = SP - 17,451.7/17,451.7 * 100/1

17,451.7 (20) = 100(SP - 17,451.7)

349034 = 100SP - 1745170

349034 + 1745170 = 100SP

2094204 = 100SP

SP = £20942.04

Answer:

answer choice c

Step-by-step explanation:

Answer:

i cant download the photo

Step-by-step explanation:

Answer:

5/6

7/12

1 5/12

Step-by-step explanation:

I did the first 3 for u.. look up fraction calculater! then you will get the rest! hope this helps u!! :D

Answer:

One's age is not independent of one's willingness to wear masks in public.

Step-by-step explanation:

The hypothesis for the study can be defined as follows:

H₀: One's age is independent of one's willingness to wear masks in public.

Hₐ: One's age is not independent of one's willingness to wear masks in public.

It is provided that the test statistic value is, t = 16.5.

And the critical value of the test is, c = 7.82.

t = 16.5 > c = 7.82

Since the  test statistic value is more than the critical value, the null hypothesis will be rejected.

Thus, concluding that one's age is not independent of one's willingness to wear masks in public.

Answer:

Step-by-step explanation:

9514 1404 393

Explanation:

The problem statement tells you what to do.

  25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n

  (5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5

  5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent

  (5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible

  (1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n

  y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25

_____

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

Answer:

50

Step-by-step explanation:

-20+70=50

Answer:

199.49

Step-by-step explanation:

Answer:

199.49

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

This is a __simple____ hypothesis and will result in a(n) _______one-tailed test.

Step-by-step explanation:

The Simple Hypothesis predicts the relationship between two variables, in this case, height and leadership. The one-tailed test will be performed to determine whether to reject the null hypothesis.  This is why the null and alternative hypotheses must be established before the statistic test is carried out.   If the null hypothesis is rejected, this simply results in the acceptance of the alternative hypothesis.

Answer:

While in Ferrara, Josquin wrote some of his most famous compositions, including the austere, Savonarola-influenced Miserere, which became one of the most widely distributed motets of the 16th century; the utterly contrasting, virtuoso motet Virgo salutiferi; and possibly the Missa Hercules Dux Ferrariae, which is ...

Step-by-step explanation:

Answer:

94/39 is the correct answer

Answer:

The answer above is correct! A. 94/39

Step-by-step explanation:

E2020!

Answer:

21.0 Cubic Units

Step-by-step explanation:

2 times 3.5 = 7

7 times 3 = 21

Answer:

x=5

y=30

y=15

Step-by-step explanation:

Answer:

$3360 combined. $1560 from acct b and $2100 from acct a

Step-by-step explanation:

c

Answer:

c

Step-by-step explanation: