I NEED HELP PLEASE, THANKS! :)

Answer:

(a) Null Hypothesis, \(H_0\) : \(\mu\) = 23%    

    Alternate Hypothesis, \(H_A\) : \(\mu\) \(\neq\) 23%

(b) We conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) P-value is 0.6%.

Step-by-step explanation:

We are given that a certain manufactured product is supposed to contain 23% potassium by weight.

A sample of 10 specimens of this product had an average percentage of 23.2 with a standard deviation of 0.2.

Let \(\mu\) = mean percentage of potassium by weight.

(a) Null Hypothesis, \(H_0\) : \(\mu\) = 23%      {means that the mean percentage is equal to 23 and the manufacturing process will not be re-calibrated}

Alternate Hypothesis, \(H_A\) : \(\mu\) \(\neq\) 23%     {means that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

                                T.S. =  \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\)  ~ \(t_n_-_1\)

where, \(\bar X\) = sample mean percentage = 23.2

            s = sample standard deviation = 0.2

            n = sample of specimens = 10

So, the test statistics  =  \(\frac{23.2-23}{\frac{0.2}{\sqrt{10} } }\)  ~ \(t_9\)

                                     =  3.162

The value of t test statistic is 3.162.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of -2.262 and 2.262 at 9 degree of freedom for two-tailed test.

(b) Since our test statistic doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) The P-value of the test statistics is given by;

            P-value = P( \(t_9\) > 3.162) = 0.006 or 0.6%

(a) Null Hypothesis,  \(H_o:\mu\): = 23%    

   Alternate Hypothesis, \(H_A:\mu\neq\) : 23%

(b) We conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) P-value is 0.6%.

The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.

We are given that a certain manufactured product is supposed to contain 23% potassium by weight.

A sample of 10 specimens of this product had an average percentage of 23.2 with a standard deviation of 0.2.

Let  = mean percentage of potassium by weight.

(a) Null Hypothesis, \(H_o:\mu\):  = 23%      {means that the mean percentage is equal to 23 and the manufacturing process will not be re-calibrated}

Alternate Hypothesis,  \(H_A:\mu\neq\):   23%     {means that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

\(TS=\dfrac{X-\mu}{\frac{s}{\sqrt{n}}}\)   ~ \(t_{n-1}\)

where,  = sample mean percentage = 23.2

           s = sample standard deviation = 0.2

           n = sample of specimens = 10

So, the test statistics  =   \(\dfrac{23.2-23}{\frac{0.2}{\sqrt{10}}}\) ~ \(t_g\)

                                    =  3.162

The value of t test statistic is 3.162.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical value of -2.262 and 2.262 at 9 degree of freedom for two-tailed test.

(b) Since our test statistic doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) The P-value of the test statistics is given by;

           P-value = P( \(t_g\) > 3.162) = 0.006 or 0.6%

Hence ,

(a) Null Hypothesis,  \(H_o:\mu\): = 23%    

   Alternate Hypothesis, \(H_A:\mu\neq\) : 23%

(b) We conclude that the mean percentage is  different from 23 and the manufacturing process will be re-calibrated.

(c) P-value is 0.6%.

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Answer:

$225.00

Step-by-step explanation:

7% of 225 is $15.75

.07x225=$15.75

$225+$15.75=$240.75

Answer: y = 5x-2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Its C becase, A is not a viable answer because the some of the outputs are not positive. And not B because one input yields 1 output not multiple so its not B. And its not D because as you can see the 'y' side has 2 of the same numbers so its not D. Therefore, the answer is C!

Answer:

C

Step-by-step explanation:

Answer:

Parentheses, exponents, multiplication and division, and addition and subtraction

Step-by-step explanation:

You can remember this order by using PEMDAS. PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction, in that order. First up should be parentheses, then exponents, then multiplication and division, and finally addition and subtraction.

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Answer:

Step-by-step explanation:

310 is the answer.

Answer:

A. x=3 2.3

B . x=8

C. x=i do not know.

D. x=26

Step-by-step explanation:

A. -3+2/3=2

-3+2/3=-2 1/3

-2 1/3+3 2/3.=2

B. -3-3n=1

-3-3=-6n

-6n+8=1

C i do not understand.

D. -3-v21=2

21√5

Decimal Form:

1.0796532

or -24=2

-24+26=2

Answer:5.1

Step-by-step explanation:

Answer:

about a half teaspoon

Step-by-step explanation:

Answer:

h = \(\frac{2A}{a+c}\)

Step-by-step explanation:

Given

A = \(\frac{1}{2}\)(a + c)h

Multiply both sides by 2 to clear the fraction

2A = (a + c)h ( divide both sides by (a + c) )

\(\frac{2A}{a+c}\) = h

Answer:

[see below]

Step-by-step explanation:

\(a = 1/2(a+c)h\\\\1/2(a+c)h = a\\\\2 * 1/2(a+c)h = a * 2\\\\h(a+c)=2a\\\\\frac{h(a+c)}{a+c}=\frac{2a}{a+c}; a \neq -c\\\\\boxed{h=\frac{2a}{a+c}; a \neq -c}\)

Hope this helps.

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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The value of x for the given triangle is 38.66° to the nearest hundredth.

Given a right angled triangle.

We have to find the angle marked as x for the given triangle.

Also given that two of the side lengths as 10 cm and 8 cm.

We can use trigonometric ratio to find the length of the unknown angle or x.

We know that,

tan (x) = Opposite side / Adjacent side

Using this function,

tan (x) = 8/10

tan (x) = 0.8

x = tan⁻¹ (0.8)

x = 38.66°

Hence the angle is 38.66°.

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Answer:2

Step-by-step explanation:I DONT REALLY GIVE A THING I NEED POINTS.

The two odd integers which are as described in the task content where the first odd integer is added to 3 times the next consecutive odd integer and the sum is 66 are; 15 and 17.

It follows from the task content that the odd integers which satisfy the given condition are to be determined.

Let, x = the first odd integer.

x +2 = the next consecutive odd integer.

Therefore, we have;

x + 3(x+2) = 66

x + 3x + 6 = 66

4x = 66 -6

4x = 60

x = 15.

On this note, the required odd integers are; 15 and 15 +2 = 17.

Ultimately, The two odd integers which are as described in the task content where the first odd integer is added to 3 times the next consecutive odd integer and the sum is 66 are; 15 and 17.

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Answer:

Step-by-step explanation:

[-5/13] 3/5 +12+13 [-4/5 = - 63/65

Answer:

No, she would not profit.

Step-by-step explanation:

1 dollar = 126 yen

x = 1000000 yen

1000000 ÷ 126 = $7, 936.51

$2,000 is not enough to cover the value of the painting as Taylor would lose over $5,000. So, she would not profit.

Hope that helps.

The equation for a is   a=2A-b

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here:  A=1/2(a+b)

                     a=2A-b

Hence, the equation for a is   a=2A-b

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Answer:

a) -29

b) 16

c) -6

d) 23

e) 12/a

f) x = -5

g) x = -2

h) x = 4

Step-by-step explanation:

I skipped the optional ones

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

The total amount of tax owed is $212.

This is calculated by subtracting the amount of tax withheld from your paycheck ($678) from the total amount of tax owed ($890), resulting in a difference of $212.

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

Answer:

-36

Step-by-step explanation:

-7+1[3-32]

= -7-29

= -36

Answer:

10°

Step-by-step explanation:

You can see the three angles shown form a straight line, meaning they add up to 180°. We can et up the equation:

m<AOC + m<COD + m<DOB = 180°

And we can substitute the values we have:

5a + 18 + 24 - a + 8a - 30 = 180

Next, we can combine all like terms:

12a + 12 = 180

12a = 168

a = 14

Now, to find each angle, we can substitute the value of a:

m<AOC = 5a + 18 = 5(14) + 18 = 88°

m<COD = 24 - a = 24 - 14 = 10°

m<DOB = 8a - 30 = 8(14) - 30 = 82°

The smallest angle is <COD with a measure of 10°.

Answer: 4.8

Step-by-step explanation: By using the intersecting chords theorem, we know that 10 * x = 6 * 8

This simplifies to 10x = 48

After dividing both sides by 10 we get x = 4.8

Answer:

FIRST ONE "Deb sold vases for two years, neither sold nor bought the next year and then sold bases for two more years"

Step-by-step explanation:

Notice the number of bases in debs collection is DECREASING as the years passes for the first and third period. This is she is selling her vases but in the middle the number is the same (two point in the same horizontal line) this means she neither sold nor bought any vase in that period.

Answer:

Angle b is 63

Angle f is 59

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6 divided by 2/3 = 9