Suppose that a population parameter is 0.1 and many samples are taken from the population. If the size of each sample is 90, what is the standard error of the distribution of sample proportions?
A. 0.072
B. 0.095
C. 0.032.
2 D. 0.054

Answer:

x= -1

Step-by-step explanation:

Answer: 75

Step-by-step explanationv:

Without the specific options provided, it is challenging to determine which statement regarding a shoulder-type eyebolt being pulled at an angle is incorrect.

I can provide some general information about shoulder-type eyebolts and their behavior when subjected to forces at an angle.

A shoulder-type eyebolt is pulled at an angle, several factors come into play that can affect its performance.

Here, I will discuss four aspects related to the behavior of shoulder-type eyebolts under such circumstances.

Load Capacity:

A shoulder-type eyebolt is designed to withstand vertical loads.

When a load is applied at an angle, it introduces a shear force component that the eyebolt may not be able to handle.

This can potentially reduce its load capacity and compromise its integrity.

Misalignment:

Pulling the eyebolt at an angle can cause misalignment between the load and the axis of the eyebolt.

This misalignment can lead to increased stress concentration on certain parts of the eyebolt, potentially leading to failure or reduced load capacity.

Bolt Alignment:

Shoulder-type eyebolts rely on a straight line of force transmission for optimal performance.

When pulled at an angle, the bolt may experience bending or twisting forces, which can cause the load to be distributed unevenly and compromise its load-carrying capabilities.

Friction and Wear:

The shoulder of the eyebolt that rests against the load surface may experience increased friction when pulled at an angle.

This friction can result in increased wear on the shoulder, potentially reducing the overall strength and durability of the eyebolt.

It is essential to consider these factors to ensure safe and reliable use. Without further information, it is difficult to determine which of the options provided is not correct, as the context of the options is not given.

The behavior of shoulder-type eyebolts when pulled at an angle is influenced by factors such as load capacity, misalignment, bolt alignment and friction.

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Answer:  v = -2

Step-by-step explanation:

-5v - v = 12

-6v = 12           [Divide -6 from both side]

v = -2

Answer:

Step-by-step explanation:

Budgeted Income $ Actual Income $ Difference

Wages $2,500.00 Wages $2,650.00 $150.00

Total Budgeted Wages $2,500.00 Total Actual Income $2,650.00 $150.00

Budgeted Expenses $ Actual Expenses $ Difference

Food $525.00 Food $500.00

A.

Credit Card $100.00 Credit Card $100.00 $0.00

Field Trips $0.00 Field Trips $15.00 -$15.00

Gas $150.00 Gas $120.00 $30.00

Clothing $0.00 Clothing $80.00

B.

Gifts $100.00 Gifts $20.00 $80.00

Entertainment $100.00 Entertainment $65.00

C.

Mortgage Payment $1,080.00 Mortgage Payment $1,080.00 $0.00

Utility Bills $160.00 Utility Bills $140.00 $20.00

Car Payment $225.00 Car Payment $225.00 $0.00

Car Insurance $157.00 Car Insurance $157.00 $0.00

Total Budgeted Expenses $2,597.00 Total Actual Expenses $2,502.00 $95.00

Surplus/Shortage D. Surplus/Shortage

E.

$245.00

Answer:

29.13

Step-by-step explanation:

29.1333

29.13

The quotient of the given division nearest to the hundredth is 29.133

Division is defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.

Now the given division is,

437 ÷ 15

Using long division method,

    29.1333

15| 437

  - 30

     137

   - 135

         20

       - 15

           50

         - 45

              50

            - 45

                5

hence the quotient we get is 29.1333...

To round of to the nearest hundredth,

Since digit to the right of 3 is less than 5

So, the remainder nearest to the hundredth is 29.133.

Thus,The quotient of the given division nearest to the hundredth is 29.133.

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Answer:

71th term is 141

Step-by-step explanation:

\(a_{1}=1\\\\common \ difference = d = second \ term - first \ term\\\\ = 3 - 1 = 2\\\\a_{n} = 141\\\\a + (n -1)*d = a_{n}\)

1 + (n - 1)*2 = 141         {Use distributive property}

1 + 2n - 2 = 141    

2n - 1 = 141

2n = 141 + 1

2n = 142

n = 142/2

n = 71

Answer:

71st term

Step-by-step explanation:

First, find the nth term: 2n - 1 (the difference is 2, and the 0th term or the number before the 1 is -1). Next, set the nth term equal to 141 and solve for n. 2n - 1 = 141. We would add one to both sides → 2n = 142, then divide both sides by 2. n = 71.

Hope this helps!

In the triangle , the value οf x is 42.4.

What is law of sine?

Law οf sines establishes the ratiο οf a triangle's sides and establishes that each side's sine angle is equal tο the οther. Other names fοr sines include sine Iaw, sine ruIe, and sine frmuIa.

Tο determine the unknοwn angle οr the side οf a unique triangle, the sine wave is used. Any triangle that is nοt a right triangle is cοnsidered a unique triangle. At least twο angles and their assοciated side measurements shοuld be used when using the Iaw οf sine.

The trigonometric functiοn, the law of sine is,

\(\frac{sin(A)}{a}=\frac{sin(B)}{b}\)

In the given triangle  using law οf sine then,

=> \(\frac{sinM}{NL}=\frac{sinN}{ML}\)

=> \(\frac{sin88\textdegree}{x}=\frac{sin38\textdegree}{26}\)

=> x = \(\frac{sin88\textdegree\times26}{sin38\textdegree}\)

=> x = 42.2

Hence the value οf x is 42.2.

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Answer:

H=180 feet

Step-by-step explanation:

H/300 = \(tan31^{0}\)

Answer

h = 180 feet

The length of the base of the parallelogram is 16 inches.

What is parallelogram?

A parallelogram is a four-sided plane figure with opposite sides parallel and congruent (having the same length). This means that the opposite sides of a parallelogram are parallel to each other and have the same length. Additionally, the opposite angles of a parallelogram are equal in measure, which means they have the same degree of rotation.

Let's use the information given in the problem to set up an equation and solve for the length of the base.

From the problem, we know that the height of the parallelogram is 5 inches.

h = 5

We also know that the base of the parallelogram is six more than twice the height. Let's use b to represent the length of the base:

b = 2h + 6

Now we can substitute the value we know for the height and solve for the base:

b = 2(5) + 6

b = 10 + 6

b = 16

Therefore, the length of the base of the parallelogram is 16 inches.

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If the function f(x) = |x-5| + 2, then the value of f(3) is 4

The function

f(x) = |x-5| + 2

The function is defined as the mathematical statement that shows the relationship between the independent variable and the dependent variable. The function consist of different variables, numbers and mathematical operators

Here the function consist of the absolute value symbol.

|-a| = a

The absolute value of the positive and the negative number will be always positive.

The function is f(x) = |x-5| + 2

Then,

f(3) = |3-5| + 2

= |-2| + 2

= 2 + 2

= 4

Therefore, the value of f(3) is 4

I have answered the question in general, as the given question is incomplete

The complete question is:

If f(x)=|x−5| + 2, find the value of f(3).

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There is 1 factor of 51 square 9 that is either a perfect square, a perfect cube, or both.

The factors of a number are the whole numbers that divide the given number evenly.

To find the factors of 51 square 9, we need to multiply 51 by itself 9 times.

51 square 9 = 51⁹

To determine if a factor is a perfect square or perfect cube, we need to look at the exponent of each prime factor.

Let's break down 51 into its prime factors:

51 = 3 × 17

Now, let's look at the exponent of each prime factor:

For the prime factor 3, the exponent is 1.

For the prime factor 17, the exponent is 1.

To find the total number of factors, we need to add 1 to each exponent and multiply them together:

(1 + 1) × (1 + 1) = 2 × 2

= 4

So, there are 4 factors of 51 square 9.

Now, let's determine how many of these factors are perfect squares or perfect cubes.

For a factor to be a perfect square, the exponent of each prime factor in its prime factorization must be even.

For a factor to be a perfect cube, the exponent of each prime factor in its prime factorization must be a multiple of 3.

Let's analyze each factor:

Factor 1: 3⁰ × 17⁰ = 1

This factor is both a perfect square and a perfect cube.

Factor 2: 3¹ × 17⁰ = 3

This factor is neither a perfect square nor a perfect cube.

Factor 3: 3⁰ × 17¹ = 17

This factor is neither a perfect square nor a perfect cube.

Factor 4: 3¹ × 17¹ = 51

This factor is neither a perfect square nor a perfect cube.

Out of the 4 factors, only 1 factor (factor 1) is both a perfect square and a perfect cube.

So, there is 1 factor of 51 square 9 that is either a perfect square, a perfect cube, or both.

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Answer:

Value of \(x=-12\)

Step-by-step explanation:

The given triangle is isosceles

Here

\(m\angle2+m\angle2+36^0=180^0\\\\2m\angle2=144^0\\\\m\angle2=72^0\\\\x+84=72\\\\x=72-84\\\\=-12\)

\(m∠2+m∠2+36⁰= 180°\)

\(2m∠2 = 144°\)

\(m∠2 = 72⁰\)

\(x +84 = 72\)

\(x = 72 - 84\)

\(x= -12\)

Answer:

  189√5

Step-by-step explanation:

You want the product of 7√3 and 9√15 in simplest form.

The applicable rules of radicals are ...

  (√a)(√b) = √(ab)

  √(a²b) = a√b

  \(7\sqrt{3}\times9\sqrt{15}=7\cdot9\sqrt{3\cdot15}=63\sqrt{3^2\cdot5}=63\cdot3\sqrt{5}\\\\=\boxed{189\sqrt{5}}\)

__

Additional comment

The approximate numerical value is 422.62.

Answer:

Reflect over the y axsis move down 1 unit

Step-by-step explanation:

Answer:

y=-32+126

Step-by-step explanation:

So the equation you've given me is: y=-32x+1 which is already in slope intercept form.

The slope remains the same so let's look at the y-intercept (b) which is not going to come into solving it.

Plug in the points into the equation to become: -2=-32(4)+b

Solve the equation to get 126=b

Plug it into your new equation: y=-32x+126

There can be 90% confident that the population mean salary of college graduates who took a statistics course is between $60,947.78 and $66,652.22.

To construct a 90% confidence interval for estimating the population means μ of salaries for college graduates who took a statistics course, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

First, we need to find the critical value from the t-distribution table with a degree of freedom of n-1. Since we have 49 college graduates, our degrees of freedom are 48. Looking at the table, the critical value for a 90% confidence level is 1.677.

Next, we need to find the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard error is $11,936/sqrt(49) = $1703.05.

Substituting these values into the formula, we get:

Confidence interval = $63,800 ± 1.677 x $1703.05
Confidence interval = $63,800 ± $2852.22

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Answer:

the answer would be letter B

The angle measure 47°18'41" equivalent to 47.311°

In Math, the degrees are represented by (°), the minutes by (') and the seconds by (''). The relation between these units is given for:

1°=60'=3600'' (One degree is equal to 60 minutes and equal to 3600 seconds).

                      1°------------- 3600"

                     x°------------- 41"

                     \(3600x=41\\ \\ x=\frac{41}{3600} =0.01138^{\circ \:}\)

                      1°------------- 60"

                     x°------------- 18"

                     \(60x=18\\ \\ x=\frac{18}{60} =0.3^{\circ \:}\)

        \(47+0.01138+0.3=47.31138\)

Like the exercise asks the result rounded to the nearest thousandth of a degree, the answer is: 47.311°.

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Answer:

x = 90°

Step-by-step explanation:

This is very simple. Any triangle embedded in a circle with it's long side as the diameter is a right triangle. Thus, x = 90°.

Answer:

x < 3

Step-by-step explanation:

11 > 2 + 3x

3x + 2 < 11

3x (+ 2 - 2) < 11 - 2

3x < 9

3x/3 < 9/3

x < 3

Answer:

3 >x

Step-by-step explanation:

11>2+3x

Subtract 2 from each side

11-2>2-2+3x

9 > 3x

Divide each side by 3

9/3 > 3x/3

3 >x

Given in the scenario:

a.) Marjorie bought 24 bottles of juice.

b.) Each day she opens and drinks 2 of these bottles of juice.

The inequality that represents the greatest number of days she can continue before she has to replenish her stock is:

Marjorie has to replenish her stock when it is lesse

The example of an event which has a probability of 0 is probability of getting number 7 when you throw a die once. The probability of this event is zero because it will not occur.

The probability is the branch of mathematics that shows the occurrence of the random event. The value of the probability varies from 0 to 1.

The equation of the probability is

Probability = Number of favorable outcomes / Total number of outcomes

The probability of getting number number 7 when you throw a die once is zero. Because when you throw a die the possible outcomes are 1, 2, 3, 4, 5 and 6. We wont get number 7. Therefore the probability is zero

Hence, the example of an event which has a probability of 0 is probability of getting number 7 when you throw a die once. The probability of this event is zero because  it will not occur.

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Events A and B are not mutually exclusive. Two events are mutually exclusive if they cannot occur at the same time. In other words, if event A occurs, then event B cannot occur, and vice versa.

The probability of two mutually exclusive events occurring together is 0. In this case, P(A) = 1/2, P(B) = 1/3, and P(A or B) = 2/3. Since P(A or B) is greater than P(A) + P(B), it follows that events A and B are not mutually exclusive.

To see this more clearly, let's consider the following possible outcomes:

Event A occurs: This happens with probability 1/2.

Event B occurs: This happens with probability 1/3.

Both events A and B occur: This happens with probability 2/3 - 1/2 - 1/3 = 0.

As we can see, it is possible for both events A and B to occur. Therefore, events A and B are not mutually exclusive.

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Answer:

The length is 52 meters and the width is 23 meters.

Step-by-step explanation:

Let l stand for length, and w stand for width.

l = 2w + 6

The length is 6 more than twice the width.

2l + 2w = 150

Twice the length plus twice the width is the perimeter of a rectangle.

2(2w + 6) + 2w = 150

4w + 12 + 2w = 150

6w + 12 = 150

6w = 138

w = 23

l = 2(23) + 6

l = 46 + 6

l = 52

Answer:14,2

Step-by-step explanation: i just did it

Answer:

10/21

Step-by-step explanation:

5/6 x 4/7 = 20/42 as simplified as 10/21 in fraction form.

Hope this helps!

-DizzyImDizzy <3

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The multiplication of 4/7 x 5/6 as a fraction in the simplest form​ is 10/21.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The multiplication of the two fractions 4/7 and 5/6 can be done as,

4/7 × 5/6

Multiply the numerator and the denominator of the two fractions

= (4×5)/(7×6)

= 20/42

Dividing both the numerator and the denominator by 2 to simplify,

= 10/21

Hence, the multiplication of 4/7 x 5/6 as a fraction in the simplest form​ is 10/21.

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∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).

So,

Given: BD bisects ∠B and BD ⊥ AC.

To prove: ∠A ≅ ∠C

First, prove that △ABD≅△BDC.

So, △ABD≅△BDC under AA condition.

Therefore, ∠A ≅ ∠C under the CPCT condition (coresponding parts of congurent triangles).

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Answer:

Pythagorean triple

Step-by-step explanation:

This is usually expressed as a² + b² = c² Integer triples which satisfy this equation are Pythagorean triples. The most well known examples are (3,4,5) and (5,12,13).