Which distance formula or formulas show(s) a joint variation?

From the information given, and applying the formula, it is found that the standard error of the difference in proportion of smokers by sex is 0.0558.

The proportion and the standard error for each sample are given by:

[tex]p_W = 0.25, s_W = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]

[tex]p_M = 0.37, s_M = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]

The standard error of the difference in proportions is the square root of the sum of the standard error for each sample squared, hence:

[tex]s = \sqrt{s_W^2 + s_M^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]

Hence, the standard error is of 0.0558.

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Answer:

Let X be other interior opposite angle of a △XYZ.

Let Y be the third angle.

Exterior angle is equal to sum of interior opposite angles.

120

o

=30

o

+∠X

⇒∠X=90

o

Now, Sum of interior angles of a triangle is 180

o

⇒90

o

+30

o

+∠Y=180

o

⇒∠Y=180

o

−120

o

=60

o

Step-by-step explanation:

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1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]

2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]

- BRAINLIEST answerer

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

Answer:

Step-by-step explanation:

Similar right triangles (angle marked congruent).

Same proportion of corresponding sides:

Answer:

y = 2.4

x = 30°

Step-by-step explanation:

5y = 12

[tex]\frac{5y}{5}[/tex]  = [tex]\frac{12}{5}[/tex]

Cancel both the 5 in numerator and denominator

y = [tex]\frac{12}{5}[/tex]

Divide 12 by 5

y = 2.4

All internal angles of a triangle must add up to 180°. So the angles of the bottom triangle is 60° each. As you can see, there's a right triangle on the right side and a right angle is 90°. So you just have to subtract 90° and 60° to get the angle of the missing angle which is 30°

x = 30°

i don't know how to explain it but i'm sure it's correct. Hope it helps

Answer:

The answer is A

Step-by-step explanation:

Answer:

-94

Step-by-step explanation:

14 - 8 + 3(-9 - 6) + 27/9 + √16 - 62 =

= 6 + 3(-15) + 3 + 4 - 62

= 6 - 45 + 7 - 62

= -39 + 7 - 62

= -32 - 62

= -94

Answer:

simultaneous equation

The measure of angle 1 to the nearest tenth is 50.9 degrees

Since the line r and s are perpendicular, hence the sum of the angle m<RKT and m<SKT is 90 degrees.

Given the following parameters

m<RKT  = m<1 = 4x - 12

m<SKT = m<2 = 3x - 8

Taking the sum of the angle and equating it to 90degrees, hence;

m<RKT  +m<SKT = 90

4x - 12 + 3x - 8 = 90

7x = 90 + 20

7x = 110

x = 110/7

x = 15.71

Get the measure of angle 1

m<1 = 4x - 12

m<1 = 4(15.71) - 12

m<1 = 50.9 degrees

Hence the measure of angle 1 to the nearest tenth is 50.9 degrees

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Answer:

graph A shows all natural numbers less than 3

Step-by-step explanation:

Answer:

The Answer Is B

Step-by-step explanation:

Answer:

[tex](x-1)^2(x+3)[/tex]

Step-by-step explanation:

For factorization the given expression you can use the Ruffini's rule.

First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].

[tex]3 = \{\pm1,\pm3\}[/tex]

Now replace each number in the polynomial

[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]

If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].

[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]

In the first row are the coefficients of the given polynomial.

In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].

The third row are the coefficients of the quotient polynomial (except the last that is the remainder).

[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]

Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to

[tex]x^2 + 2x -3[/tex]

So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:

[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]

So the last expression is:

[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]

Answer:

175,208 square units

Step-by-step explanation:

Lets calculate the width first:

464 + 26 - 6 = 484

The area is equal to the length times the width, so

362 x 484 = the area

= 175,208 square units

Answer:

x = - 3

Step-by-step explanation:

9 more than the product of a number and three is equal 6.

9 +                                   (x · 3)                                = 6

9 + 3x = 6

3x = -9 + 6

3x = - 3

x = - 3

Answer:

3x + 9 =6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x = √a/√b

x² = √a²/√b²

x² = a/b

Answer:

Hi there

it should be A.

good

Each liter is equivalent to exactly: 4.22675 cups.

I hope this helps!

Answer 5-5.190 =-945 -2=-947 2-2=0+3 =3+7=-935

Step-by-step explanation:

Given that nos. are in ratio 7:10

The larger no. is 140

Let the smaller no. be x

Using ratio and proportion

7 : 10 :: x : 140

⇒10 × x = 140 × 7

[tex]⇒x = \frac{140 \times 7}{10} = 98 \\ [/tex]

- BRAINLIEST ANSWERER

Answer:

[tex] \frac{7}{10 } = \frac{x}{140} [/tex]

[tex] \frac{7 \times 140}{10 \times x} [/tex]

[tex] \frac{980}{10} [/tex]

[tex]98[/tex]

ANSWER IS 98

Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.

Average speed is s the total distance traveled by the object in a particular time interval.

Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]

We have,

Distance from Boston to Hyannis [tex]=70[/tex] miles

Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]

Distance from Hyannis to Dennisport [tex]=10[/tex] miles

Time from Hyannis to Dennisport [tex]=30[/tex] minutes

So,

Total distance travelled [tex]=70+10=80[/tex] miles

Total time taken [tex]=105+30=135\ minutes[/tex]

                             [tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]

So,

Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]

                                                                                            [tex]=\frac{60}{3}=20[/tex] miles per hour

And,

Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]

                                                                                          [tex]=35\frac{5}{9}[/tex] miles per hour

Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.

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Answer:

(-3,9)

Step-by-step explanation:

HOPE THIS HELPSSSSSS!!!!

Answer:

3^7

Step-by-step explanation:

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it will tell you why hear

Answer:

the quotient, fixed as a percentage

Step-by-step explanation:

Answer:

Fixed Percentage means, the quotient, expressed as a percentage, obtained by dividing the unexpended and not withdrawn amount of the Allocated Amount, at the time a Net Profits Interest is assigned by the total of (i) the unexpended and not withdrawn amount of the Allocated Amount and (ii) the unexpended and not.

Answer:

P(ΔTRP) = 36 m

Hope this helps!

Answer:

(1, -4)

Step-by-step explanation:

(-5,-4) -> (x,y) so x = -5 and y = -4. Apply the rule (x+6,y) to that point by substituting in your x and y values.

(-5+6,-4) = (1, -4)

Answer:

Step-by-step explanation:

3

Answer:

C = 50°

Step-by-step explanation:

In the given figure, it tells us which angles are the same. ( You can look at the red marks. )

So, 68 + 62 = 130.

As we all know, the sum of all angles in any triangle is 180.

So, 180 - 130 = 50.

That is Angle C.

I hope it helps.

Answer:

I think 25.5678

it's the correct answer

Step-by-step explanation:

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Step-by-step explanation:

for each letter position there are 26 choices.

and each of these 26 choices can be combined with the next 26 choices.

so, they alone are 26×26×26 = 26³ = 17,576

then we have the three number positions.

each has 10 options.

so, they are 10×10×10 = 10³ = 1000

and both combined are

26³×10³ = 17,576,000 different number plates

The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.

The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.

This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.

For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.

so, they alone are 26×26×26 = 26³ = 17,576

then we have the three number positions, each has 10 options.

so, they are 10×10×10 = 10³ = 1000

and both combined are;

26³×10³ = 17,576,000 different number plates.

Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.

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