various studies state that, worldwide, 1% of persons suffer from autism. you believe that this number should be higher. you take an srs of 500 people and find that 8 people have autism. test your claim with 5% significance. Determinan your rejection region.

Answer:

[tex]\frac{\sqrt{6}-\sqrt{2} }{4}[/tex]

Step-by-step explanation:

You have to use your calculator if you have one.

Here is the two column proof:

     Statement                                        Reason                                              

The p-value of the test hypothesis is given as follows:

0.2420.

At the null hypothesis, it is tested if the proportion is not greater than 40%, that is:

[tex]H_0: p \leq 0.4[/tex]

At the alternative hypothesis, it is tested if the proportion is greater than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is given by the equation presented as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which the parameters are defined as follows:

The values of these parameters for this problem are given as follows:

[tex]p = 0.4, n = 215, \overline{p} = \frac{91}{215} = 0.4233[/tex]

Hence the test statistic is given as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4233 - 0.4}{\sqrt{\frac{0.4(0.6)}{215}}}[/tex]

z = 0.7.

Using a z-distribution calculator, with a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of:

0.2420.

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[tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

The function is [tex]2x^{x}[/tex] is not a power function because a power function requires the exponent to be a constant value.

In the given function the variable x as power x which is variable.

The variable exponent should be constant.

When x is zero it is undefined. Another issue is the table indicates for negative values the output alternates between being positive and negative. So it is also not an exponential function either.

Hence,  [tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.

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The leading team scored 27.43 points  per game in basket ball game.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The points scored by current leader in 77 basket ball game = 2112,

And the points scored by second place player in 74 game = 2020.

The point scored by players in one match, use ratio property,

By current leader,

Points scored in 77 games = 2112

points scored in 1 game = 2112/77 = 27.43

By second place leader,

Points scored in 74 games = 2020,

Points scored in 1 game = 27.3

The leading team scored 27.43 points per game.

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Answer:

Step-by-step explanation:

First of all, WHO IN THEIR RIGHT MIND NEEDS THAT MANY PEANUTS

Second:

1lb=16oz

5oz≈1/3lb

149×5=745 ((I have no idea where this is going))

745oz=46.5625 ((You can do the rounding my head hurts.))

Answer:

4

Step-by-step explanation:

2x4=8   8-4=4

Answer:

12

Step-by-step explanation:

24 = 2³ × 3

60 = 2² × 3 × 5

72 = 2³ × 3²

84 = 2² × 3 × 7

cel mai mare divizor comun = 2² × 3 = 12

Answer:

x = –3

Step-by-step explanation:

7 + 2x/3 = 5

2x/3 = 5 – 7

2x/3 = –2

multiply both sides by 3

2x = –6

divide both sides by 2

x = –6/2

x = –3

please rate as brainliest i need to move to the next rank

Answer:18/61 0r decimal form 0.20

Step-by-step explanation:

Answer:

Step-by-step explanation:

126

cx + cy = a² + b² is the next step to prove the theorem.

Given,

The given Pythagorean theorem was created by Todd.

With leg lengths a and b and a hypotenuse length of c, he drew right

ΔABC. The hypotenuse was then drawn with altitude C Z.

He finds that the equations c/a=a/x and c/b=b/y. He then discovers that c x=a² and c y=b².

We have to find the next step to prove the theorem;

Here,

The next step is to add cx and cy

That is,

cx + cy = a² + b²

Then,

c(x + y) =  a² + b²

c² =  a² + b²

Therefore,

The next step to prove the theorem is cx + cy = a² + b²

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∠COD=72°

what is angle?

When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolised by the character. The circularity or rotation of an angle is often measured in degrees and radians. Angles are a common occurrence in daily life. Angles are used by engineers and architects to create highways, structures, and sports venues.

Given:

Let, ∠AOB=a=42°

∠EOF=b=66°

∠AOF=c

∠COD=d

by angle sum property,

a+b+c=180°

42°+66°+c=180°

c=72°

c=d because alternate angles are same

therefore d=72°

hence proved.

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Clare's answer and reasoning are incorrect because she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation and the correct quotient is 8/15, not 10/3.

To perform the division operation (4/3) ÷ (5/2), we need to first divide the numerator by the denominator.

This gives us (4/3) ÷ (5/2) = 8/15.

Thus, Clare's reasoning is incorrect because she did not apply the order of operations when simplifying the expression.

Instead, she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation (20/3) ÷ 2 = 10/3.

Therefore, the correct quotient is 8/15, not 10/3.

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It will them 15 minutes to change the tire of one car which is option d.

Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity". In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.

It takes 30 minutes either Paul or Chris to change the tire if both of them should work at the same rate, then the time of changing a tire would reduce.

so the time taken one tire by the two men 30/2 = 15 minutes.

In conclusion it took the 2 men 15 minutes to change one tire

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Answer: 25.49

Because the internet has a good calculator

The ranking of the data-sets according to their respective means is given as follows:

[tex]\mu_C < \mu_D < \mu_B < \mu_A[/tex]

The mean of a data-set is calculated as the sum of the values of all the observations divided by the number of observations.

In this problem, all the distributions have the same number of observations, hence the means are ranked from the highest sum.

The squares give the number of times that each observation appears in the data-sets.

The smallest mean is the mean of data-set C, as it is the only one with three measures of eight, while the other data-sets have four measures of eight.

Then the greatest mean is of data-set A, as it is the only with an observation of 6, and then data-set B has a greater mean than data-set D, as it has an observation of five while data-set D has an observation of three.

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The correct option is C (-2, 1)

According to the question,

3x -4y = -10 --------equation 1

3x = 10 + 4y

[tex]x = \frac{ - 10 + 4y}{3} [/tex]

Also,

4x + 2y = -6 --------equation 2

Put the value of x in the equation,

4((−10+4y)÷3)+2y=−6

[tex] - \frac{40}{3} + \frac{16y}{3} + 2y = - 6[/tex]

[tex] \frac{ - 40 + 16y + 6y}{3} = - 6[/tex]

-40 + 22y = -6*3

-40 + 22y = -18

22y = 40-18

22y=22

y=1

Solving equation 1 for x by putting values if y

3x-4=-10

3x=-6

x=-2

Hence the values of x is -2 and y is 1

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Answer:

Step-by-step explanation:

9 ≤ b

( I think unless it faces the other side...if wrong then I'm sorry)

Answer:

No

Step-by-step explanation:

Because a vertical line can intersect the curve more than once, the graph does not represent a function.

The vectorial physical quantity that measures the intensity of the interaction between two or more objects is called force.

The force is a vector quantity, it is completely defined with:

In physics, it is established that physics is any factor capable of generating a deformation or change of state, in the movement, of a body. From Newton's second law, a force can be calculated as:

Where:

Force is the vector quantity with which we can express, for example, the intensity of interaction between two or more bodies.

¡Hope this helped!

n+23=33 - This equation shows this relationship.

Let, one number be = n

another number is =23

The sum of two numbers is = 33

The sum is the result of adding two or more numbers in mathematics. It is an essential and valuable concept in mathematics. The numbers which are to be added are called addends.

In short, some can be defined as a way by which all things can be put together. We can show an equation of a sum horizontally or vertically.

Horizontal Addition :

     59+37=96

Vertical addition:

    59

   +37

   = 96

Therefore, the equation is:  n+23 =33

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Answer: 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink.

Step-by-step explanation:

We can use the principle of linear equations. Let's say that the first type of drink is represented by x, and the second type is represented by y. We can then set up the following system of equations:

x + y = 170 (1)

0.4x + 0.9y = 0.45 * 170 (2)

We can solve for x and y using the methods of linear algebra. To do this, we can multiply equation (1) by 0.9, and equation (2) by 0.4, and then subtract the two equations to get the following equation:

0.9x - 0.4y = 0.45 * 170 - 0.4x - 0.9y

0.5x = 0.45 * 170 - 0.9y

x = (0.45 * 170 - 0.9y) / 0.5

We can substitute this expression for x into equation (1) and solve for y:

y = 170 - x

y = 170 - (0.45 * 170 - 0.9y) / 0.5

2.2y = 170 - 0.45 * 170

y = (170 - 0.45 * 170) / 2.2

y = 85 / 2.2

We can then substitute this value for y back into equation (1) to solve for x:

x = 170 - y

x = 170 - (85 / 2.2)

x = 170 - 38.63636

x = 131.36363

Therefore, the Royal Fruit Company needs to use 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink, in order to produce 170 pints of a mixture that is 45% pure fruit juice.

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer

1

Step-by-step explanation:

1

(y2-y1) / (x2-x1)

(rise over run)

(8-6) / (3-1)

2/2

1

The solution of the given system of equation is x = -3 and y = 4 respectively.      

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

The given system of equations is as,

y = 4x + 16                   (1)

y = −2x − 2                  (2)

In order to solve them, substitute equation (2) into (1) as follows,

4x + 16 = −2x − 2

=> 4x + 2x = -2 - 16

=> 6x = -18

=> x  = -3

Then, y = -2 × -3 - 2 = 4

Hence, the solution of the given system of equation is x = -3 and y = 4.  

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ok you need formula for surface area.

SA = πrh+2πr^2

Plug in 25 and 5

SA = 2π(5)(25)+2π(5)^2

SA = 10pi*25 + 2pi(25)

SA = 250pi + 50pi

SA = 300pi

Hope this helps :)

Jeron

Answer:

6

Step-by-step explanation: