State the null and alternative hypotheses you would use to test the following situation.An annual report showed that Florida topped the nation with 24% of its motorist uninsured. After implementing several new programs during the last two years, the state reevaluated its percentage of uninsured motorists. Determine the null and alternative hypotheses for a test to determine whether the proportion of uninsured motorists has decreased over the last two years.H_{0} / p = 0.24H_{1} / p > 0.24H_{0} / p = 0.24H_{1} :p ne0.24H_{0} / p > 0.24 H_{1} / p < 0.24H_{0} / p = 0.24 H_{1} / p < 0.24

Answer:

0

Step-by-step explanation:

Answer: 0 is the answer

Step-by-step explanation:

The value of N that satisfies the following equation, 5!9!= 12N!, is 10.

Factorial notation (n!) means to multiply a series of descending natural numbers. Also stated in the problem that for positive integer n, the factorial notation n! represents the product of the integers from n to 1.

Take for example 6! which can be written as 6 x 5 x 4 x 3 x 2 x 1 = 720.

Given the equation 5!9!= 12N!, expand the factorial notation.

(5 x 4 x 3 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = (4 x 3) N!

N! = (5 x 2 x 1)(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)

N! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

N = 10

Therefore, the value of N that satisfies the following equation, 5!9!= 12N!, is 10.

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Step-by-step explanation:

4/11

please check the image above for confirmation

Answer:

.

Step-by-step explanation:

Express \(\sf0.\overline{36}\) in p/q form

\(\large\underline{\sf{Solution-}}\)

Given that:

\(\longmapsto\sf0.\overline{36}\)

Let this be equal to x.

So,

\(\longmapsto\sf x=0.\overline{36}- - - -(1)\)

Multiplying both side by 100,

\(\longmapsto\sf 100x=36.\overline{36}- - - -(2)\)

Subtracting (2) from (1),

\(\longmapsto\sf 100x-x=36.\overline{36}-0.\overline{36}\)

\(\longmapsto\sf 99x=36\)

So,

\(\longmapsto\sf x=\dfrac{36}{99}\)

Dividing by 9,

\(\sf\longmapsto x=\dfrac{4}{11}\)

Hence,

\(\sf\longmapsto\bf0.\overline{36}=\dfrac{4}{11}\)

In the incidence matrix, the element in row 1 column 5 is determined as 1.

The element in row 1 column 5 is calculated as follows;

In an incidence matrix, the rows represent the vertices of the graph, and the columns represent the edges.

Since vertex 1 and vertex 5 are adjacent to each other, the value of the element in row 1 column 5 will be 1, indicating that there is a connection between vertex 1 and vertex 5.

Had it been they are not adjacent, the element would have been 0. Since there will be no connection between them in the polygon.

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Answer:

There is one solution. The solution is 2, 18, 19.

Step-by-step explanation:

If you want me to show working tell me in the comments and I'll edit the answer

Answer:

A. (2, 18, -19)

Step-by-step explanation:

To solve:

Z is the most suitable variable to remove first

Add the first equation to the second equation: (this conveniently removes both y and z)

(x+y-z) + (4x-y+z) = 1+9

Simplify

5x = 10

Solve

x = 2

Multiply the second equation by 2 and minus it to the third equation: (Solve for y)

2(4x-y+z) - (x-3y+2z) = 2(9) - (-14)

Simplify

8x-2y+2z-x+3y-2z=18+14

7x+y=32

Substitute using x=2

7(2) + y = 32

y = 32 - 14

y = 18

Now substitute x and y for their respective values into Equation 1

2 + (-18) - z = 1

Simplify

-z = 19

z = -19

So :

x = 2, y = 18 , z = -19

Answer:

  x = 8

Step-by-step explanation:

Diagonals of a kite cross at right angles. That gives us a relation that can be solved for x.

The measure shown is equal to the angle measure of 90°.

  14x -22 = 90

We can solve this 2-step linear equation in the usual way.

  14x = 112 . . . . . . step 1, add the opposite of the constant to get x alone

  x = 112/14 = 8 . . . step 2, divide by the coefficient of x

The value of x is 8.

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Answer: 118

Step-by-step explanation:

Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.

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Answer:

First image:

27 / 9 = 3

2.7 / 0.9 = 3

33.3/0.09 = 3

Second image:

168 / 2 = 84

16.8 / 0.2 = 84

1.68 / 0.02 = 84

Step-by-step explanation:

27 ÷ 9 = 3

2.7 ÷ 0.9 = 3

0.27 ÷ 0.09 = 3

that's all I got, hope this helps!

Answer:

the terms are -9,18,-36,72,-144

Step-by-step explanation:

refer to picture for steps

pls mark as Brainliest

The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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Answer:

p≥5

Step-by-step explanation:

2p−4≥6

Add 4 to both sides.

2p≥6+4

Add 6 and 4 to get 10.

2p≥10

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

p≥10/2

Divide 10 by 2 to get 5.

p≥5

Answer:

d. He can buy 10 CDs

Step-by-step explanation:

The reason he can only buy 10 is because if the CDs are $9.00 each then you would multiply:

                     10 x 9 = $90.00

If you add the $30.00 of books:

                     $90.00 + $30.00 = $120.00

This means he does not have enough money to buy another CD. He has $5.00 left over.

Answer:

D

Step-by-step explanation:

The question has 2 + (-8), and in the timeline, your starting point has to be in positive 2. As for the -8, the negative goes to the left, and therefore your answer is D, as that is the only timeline that follows the instructions of the question,

Answer:

\(\Huge \boxed{\mathrm{D}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

2 + ( -8 )

2 is on the number line.

When -8 is added to 2, the value decreases, and it moves 8 units to the left side.

The result is -6.

\(\rule[225]{225}{2}\)

The circumference of the circle is 62.8cm.

The Circumference of the circle is given by the formula,

Circumference = 2*\(\pi\)*r cm.........equation 1

Given, r = 10cm

On substituting the radius value in equation 1

Circumference = 2*\(\pi\)*10

Circumference = 62.8 cm

Therefore, the circumference of the circle is 62.8cm.

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The required probability of drawing a red marble from the bag and any specific card from the deck is 1/156.

There are 12 marbles in the bag, and 4 of them are red, so the probability of drawing a red marble is 4/12, or 1/3.

There are 52 cards in the deck, and the probability of drawing any specific card is 1/52.

This probability assumes that the events are independent, meaning that the outcome of one event does not affect the outcome of the other event.

In this case, drawing a marble from the bag and drawing a card from the deck are independent events, so their probabilities can be multiplied.

Therefore, the probability of drawing a red marble from the bag and any specific card from the deck is (1/3) x (1/52) = 1/156.

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

11 hot dogs

Step-by-step explanation:

divide 6237 by 567

Answer:

11 hot dogs

Step-by-step explanation:

567/6237=11

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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The total distance El had biked when he finally reached the library is 119/20 miles

Given that Eli biked for \(1\frac{1}{10}\) miles two times extra as he missed a book at home.

The distance between the Elis house and library is \(3\frac{3}{4}\) miles

We have to find the total distance Eli biked

Total distance  = \(1\frac{1}{10} +1\frac{1}{10} +3\frac{3}{4}\)

=11/10+11/10+15/4

20 is LCM of 10, 10 and 4

= 22+22+75/20

=119/20 miles

Hence, the total distance El had biked when he finally reached the library is 119/20 miles

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The top angle is right (90 degrees, kinda looks like a bent elbow).

The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).

The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).

4th is acute.

5th is straight because it's a straight line.

6th is also obtuse.

Have a good day :)

Answer:

13.7

Step-by-step explanation:

-4.5 - -18.2 = 13.7

Answer:

First problem: x = 5.7√2 = (57√2)/10

Second problem: x = 10√3

The approach for solving for incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Formula for solving incenter:

Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.

and a,b,c are lengths of sides.

I = ((ax1+bx2+x3 / a+b+c  ,  ay1+by2+cy3 / a+b+c))

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Answer:

b

Step-by-step explanation:

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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Answer:

h≤48   h≥30

Step-by-step explanation: