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Answer:

12

Step-by-step explanation:

The null hypothesis for this scenario would be that the percentage of residents in favor of the construction of a new community is less than or equal to 46%.

And the alternative hypothesis would be that the percentage of residents in favor of the construction is greater than 46%. The mayor would need to conduct a hypothesis test to determine if there is sufficient evidence at the 0.01 level to support the claim.

This test would involve collecting data from a sample of the town's residents and determining if the sample proportion greater than or equal to the 46% claimed by the mayor. If the sample proportion is significantly greater than 46%, then the mayor's claim can be supported at the 0.01 level.

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q - 10 = 6(r+1)

q = 6r + 1 + 10

q = 6r + 11

Answer: (x=-19) as was on my question.

Answer:

22 people

Step-by-step explanation:

Sean has 2 3/4 candy bars. That is 11/4 candy bars.

He wants to give out 1/8 candy bars.

The number of people that will get candy is:

\(\frac{11}{4} / \frac{1}{8}\\ \\= \frac{\frac{11}{4} }{\frac{1}{8}} \\\\\frac{11}{4} * \frac{8}{1} \\\\22\)

22 people can get candy.

Answer:

22 people will get candy

Step-by-step explanation:

it's correct because I got it from khan academy

Answer:

x is equal to 2

Step-by-step explanation:

simplify the equation

distribute the 0.3

0.3*4-0.3x=x-1.4

1.2-0.3x=x-1.4

get x by itself on one side

1.2+1.4=x+0.3x

simplify

2.6=1.3x

2=x

Answer:

Area of square = 289r²

Step-by-step explanation:

Given:

Side of square = 17r

Find:

Area of square

Computation:

Area of square = side²

Area of square = (17r)²

Area of square = 289r²

According to the Central Limit Theorem, a sufficiently large sample size will yield a sample mean equal to the population mean: 37 sutures in this case. The standard error, found by dividing the population standard deviation (8) by the square root of the sample size (32), is approximately 1.41.

The subject of your question is about applying the Central Limit Theorem to the situation of General Surgeon Meredith closing surgical wounds. Given that the average number of sutures Meredith uses is 37, with a standard deviation of 8, we can apply the Central Limit Theorem as we have a sufficiently large sample size of 32.

According to the Central Limit Theorem, for a sample size large enough, the sample mean will be equal to the population mean. Therefore, the mean of the sampling distribution will be 37 (same as the population mean).

To calculate the standard error of the sampling distribution, we need to divide the standard deviation of the population by the square root of the sample size (n). In this case, the standard deviation is 8 and the sample size is 32. Therefore, the standard error (SE) can be calculated as follows: SE = σ/√n = 8/√32 = 8/5.66 = 1.41.

Therefore, the mean of the sampling distribution will be 37 and the standard error will be approximately 1.41.

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Answer:

24

Step-by-step explanation:

area = wl (6×4 = 24)

w width l length

Step-by-step explanation:

Solve the following equation for x.

10 = 2 – 4(ar – 3)

OA. -

a

OB.

Oc.

OD.

5

a

The equation for the (x-4)²2 is  5. x=4± √5. Hence, option D is correct.

Due to the fact that they contain two or more algebraic terms, quadratic equations fall within the category of polynomial equations. It must equal 0 in order to solve a quadratic equation. There can be zero, one, or two (true) solutions to a quadratic equation.

To solve the equation (x - 4)² = 5, we can start by taking the square root of both sides:

√[(x - 4)²] = ±√5

This gives us two possible equations:

x - 4 = √5 or x - 4 = -√5

Now it can add 4 to both sides of each equation:

x = 4 + √5 or x = 4 - √5

So the solutions to the equation (x - 4)² = 5 are x = 4 + √5 and x = 4 - √5.

Thus, option D is correct.

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The given equation is wrong, the correct equation is given below-

(x-4)²2 = 5.

(a) To pull the entire 50-ft rope to the top of the building, we need to lift a total weight of (50 ft x 0.5 lb/ft) = 25 lb. Since the rope is being lifted vertically, the work done is given by the product of the weight lifted and the height it is lifted against gravity. Thus, the work done in pulling the entire rope to the top of the building is:

Work = (25 lb) x (120 ft) = 3000 ft-lb

Therefore, the amount of work done in pulling the rope to the top of the building is 3000 ft-lb.

(b) To pull half the rope to the top of the building, we need to lift a weight of (25 ft x 0.5 lb/ft) = 12.5 lb. We can assume that the rope is being lifted vertically, so the work done is given by the product of the weight lifted and the height it is lifted against gravity.

Since we are only lifting half the rope, the height we need to lift the weight is only half of the total height of the building, or 60 ft. Thus, the work done in pulling half the rope to the top of the building is:

Work = (12.5 lb) x (60 ft) = 750 ft-lb

Therefore, the amount of work done in pulling half the rope to the top of the building is 750 ft-lb.

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Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Answer:

1

Step-by-step explanation:

Answer:

the actual answer to this question you have asked would actually be -1 due to the rule when it comes to dividing a positive and a negative so first we would 2.6 divided by 2.6 we know that it is a negative so we would make it -1

Step-by-step explanation: so. out of he answer choices choose A. -1

mark brainliest

Answer:

C= 93⁰, B= 64⁰, D= 23⁰

Step-by-step explanation:

180= (4x + 1) + (3x - 5) + x⁰

180= 4x+1 +3x-5 +x

180= 8x - 4

184= 8x

184/8= x

23=x

therefore

C= (4(23) +1)

C= 93

B= (3(23)-5)

B= 64

D= 23

93⁰+64⁰+23⁰=180⁰

Answer:

The correct option is;

The player runs 4 meters forward, and then  runs 4 meters in the opposite direction

Step-by-step explanation:

From the question relates to the displacement of a body, compared to the distance covered by the body

In the question instance, the situation in which the player displacement will be  zero is one where both the players forward and backward displacement are equal such that they cancel each other

We have the instance where the forward and opposite displacement are  equal is given by the situation where the player runs 4 meters forward, and then  runs 4 meters in the opposite direction.

Answer:

d would be the answer if your so needy

Step-by-step explanation:

a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

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The bags of takis did he bought is 9 and number of sodas is 7

Given data ,

1 bag of takis cost 2.25 dollars and 1 soda cost 1.50 dollars.

Now , total number of items = 16

And total amount spend = $ 30.75

The total number of items bought is 16, so we have the equation:

x + y = 16 (equation 1)

The total amount spent is $30.75, so we have another equation:

2.25x + 1.50y = 30.75 (equation 2)

Multiply equation 1 by 1.50 to make the coefficients of y the same

1.50(x + y) = 1.50(16)

1.50x + 1.50y = 24 (equation 3)

Subtract equation 3 from equation 2 to eliminate y:

(2.25x + 1.50y) - (1.50x + 1.50y) = 30.75 - 24

0.75x = 6.75

x = 6.75 / 0.75

x = 9

Substitute the value of x into equation 1 to find y:

9 + y = 16

y = 16 - 9

y = 7

Hence , the person bought 9 bags of Takis and 7 sodas

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Answer:

12x

Step-by-step explanation:

Answer: x = 35°

Step-by-step explanation:

Answer:

50  ft²

Step-by-step explanation:

ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also

2(25) = 50 sq feet

Answer:

1 1/4

Step-by-step explanation:

5/6 plus 1/3 plus 1/12 is the same as 10/12 plus 4/12 plus 1/12 which equals 15/12, which is also 1 3/12, and that reduced is 1 1/4

it's 5/4 i'm b0red so i'm answering what I want

Answer:

5.75 feet tall

Step-by-step explanation:

Answer:

Area of white circle = 346.36 cm²

Step-by-step explanation:

Area of a circle = πr² where r is the radius

r = diameter/s

For the green circle, d = 42, r = 21

A = π(21)² = 1,385.44 cm²

The white circle has a diameter half of the green circle = 42/2 = 21 cm
So radius of white circle = 21/2 = 10.5 cm

Area of white circle = π (10.5)² = 346.36 cm²

Answer:

  C.  55°

Step-by-step explanation:

You want the measure of angle A = x+61 in the triangle where the other two angles are marked (x+51) and 80°.

The sum of angles in a triangle is 180°, so we have ...

  (x +61)° +(x +51°) +80° = 180°

  2x = -12 . . . . . . . . . . . . . . divide by ° and subtract 192

  x = -6 . . . . . . . . . . divide by 2

Using this value of x in the expression for angle A, we find that angle to be ...

  ∠A = x +61 = -6 +61 = 55 . . . . degrees

The measure of angle A is 55 degrees.

__

Additional comment

In the attached, we have formulated an expression for x that should have a value of 0: 2x+12 = 0. The solution is readily found to be x=-6, as above. We used that value to find the measures of all of the angles in the triangle. The other angle is 45°.

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Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

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Answer: -9, 2.7, -3.35, -6 1/5

Explanation:

I hope this helped!

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Answer: y intercept = 3 ✅

Step-by-step explanation:

Hii, do you need to know the y intercept of the line that is described by the line y=-6x+3? No problem. (:

Note that this particular equation is given to us in "slope intercept" form.

The "slope intercept" formula is y=mx+c, in which "m" denotes the slope and "c" denotes the y intercept.

Looking back at our equation, let's consider this:

"What is the y intercept of the line that is described by the equation y=-6x+3?"

Note that the y intercept is a constant number; it does not come before any variables.

\(\large\boldsymbol{\therefore,\;the\;y\;intercept\;is\;3}\)

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

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Answer:

3×5×7×11=1155

a.1155 the answer

3×5×7×11=1155

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.

Given

3×5×7×11=1155

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The common statistical method of expressing the precision of a series of repetitive measurements is the standard deviation.

It should be noted that the standard deviation is the measure of how dispersed the data is in relation to the mean.

It should be noted low standard deviation implies that data are clustered around the mean, and high standard deviation means data are more spread out.

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