A significance test about a proportion is conducted using a significance level of 0.025. The test statistic equals 1.33. The​P-value is 0.10. a. If Upper H 0 were​ true, for what probability of a Type I error was the test​ designed? b. If this test resulted in a decision​ error, what type of error was​ it?a. If Upper H 0 were​ true, for what probability of a Type I error was the test​ designed?b. If this test resulted in a decision​ error, what type of error was​ it? Type II Type Upper I

Answer:

164 degree is the answer

Answer:

Step-by-step explanation:

Chord PM and PN are equal

arc PM = arc PN

164=5x+4

x=32

arc PN = 5x+4 = 5(32)+4=164

The length of the shortest leg of T is approximately 18.33 units. We are given that the length of the altitude drawn to the hypotenuse (h) is 8, and the length of the hypotenuse (c) is 20.

We can start by using the area formula for a triangle:

Area = 1/2 * base * height

In this case, the base is the length of the hypotenuse (c), and the height is the length of the altitude (h). So we have:

Area = 1/2 * c * h

Substituting the given values, we get:

Area = 1/2 * 20 * 8 = 80

We also know that T is a right triangle, so we can use the Pythagorean theorem:

a^2 + b^2 = c^2

Substituting the given values, we get:

a^2 + b^2 = 20^2

a^2 + b^2 = 400

We can now solve for b by substituting a in terms of h (using the formula for the area of a triangle) and simplifying:

Area = 1/2 * base * height

80 = 1/2 * 20 * h

h = 8

a = (2 * Area) / c

a = (2 * 80) / 20

a = 8

Substituting a and h in the Pythagorean theorem equation, we get:

8^2 + b^2 = 20^2

64 + b^2 = 400

b^2 = 336

b = sqrt(336)

b ≈ 18.33

Therefore, the length of the shortest leg of T is approximately 18.33 units.

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Answer: the answer is sos not please help me dude

Step-by-step explanation:

but you use kami and go to files and download the pdf use kami

Answer:

51

Step-by-step explanation:

Answer:

D.  3√5

Step-by-step explanation:

The distance between points F and C is the hypotenuse of a right triangle.   Therefore we can use Pythagoras Theorem to calculate the distance between these points.

From inspection of the given graph the coordinates of the two points are:

The horizontal difference between the x-coordinates is:

[tex]x_C-x_F=2-(-4)=6\; \sf units[/tex]

The vertical difference between the y-coordinates:

[tex]y_C-y_F=2-(-1)=3\; \sf units[/tex]

Therefore, we have a right triangle with the following dimensions:

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

To calculate the length of the hypotenuse, and therefore the distance between points C and F, substitute the values into the Pythagoras Theorem formula and solve for CF:

[tex]\implies a^2+b^2=c^2[/tex]

[tex]\implies 3^2+6^2=CF^2[/tex]

[tex]\implies 9+36=CF^2[/tex]

[tex]\implies CF^2=45[/tex]

[tex]\implies \sqrt{CF^2}=\sqrt{45}[/tex]

[tex]\implies CF=\sqrt{9 \cdot 5}[/tex]

[tex]\implies CF=\sqrt{9} \sqrt{5}[/tex]

[tex]\implies CF=3\sqrt{5}[/tex]

Therefore, the distance between points F and C is 3√5.

Answer:

As 1000g=1 kg ⟹1g=

1000

1

​

 kg.

26 kg 50 g.

=26 kg+50 g

=26 kg+50(

1000

1

​

)kg.

=26+0.05 kg.

=26.05 kg.

Answer: 26kg, 0.045kg

Step-by-step explanation:

Answer:

x= 1/27

Step-by-step explanation:

the correct answer is : X = 1/27

Answer:

- 1/2

Step-by-step explanation:

To solve for x in the equation 3^2x = 1/3, we can start by taking the logarithm of both sides with base 3:

log3 (3^2x) = log3 (1/3)

Using the logarithmic property logb (a^n) = n * logb (a), we can simplify the left side:

2x * log3 (3) = log3 (1/3)

Since log3 (3) = 1, we can simplify further:

2x = log3 (1/3)

To find the value of the logarithm on the right side, we can use the definition of logarithms: logb (a) = c if and only if b^c = a. Since 1/3 = 3^-1, we have:

2x = log3 (3^-1) = -1

Finally, to solve for x, we divide both sides of the equation by 2:

x = -1/2

So the solution to the equation 3^2x = 1/3 is x = -1/2.

A

im going to guess that the top of the graph has a flat line.

its easy to visualize since the graph looks like a hill, and the story describes the graph the most accurately

The factor of the expression is (3x²+ 5)(x + 3)

From the question, we have the following parameters that can be used in our computation:

3x³ + 9x² + 5x + 15

Group the terms in two's and factor each term

Using the above as a guide, we have the following:

3x²(x + 3) + 5(x + 3)

Factor out x + 3

So, we have the following representation

(3x²+ 5)(x + 3)

Hence, the solution is (3x²+ 5)(x + 3)

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Answer: no exact answer

Step-by-step explanation:

The  two equivalent expressions for the total number of granola bars Tomas buys after 5 months is 5(4x + 2y) and 20x + 10y

In mathematics, an expression is a combination of symbols (such as numbers, variables, and operators) that represent a mathematical object or value.

Tomas buys 4 boxes of crunchy granola bars and 2 boxes of chewy granola bars each month. Let's assume that each box of crunchy granola bars contains x bars and each box of chewy granola bars contains y bars.

To express the total number of granola bars that Tomas buys in one month, we can use the following expression:

4x + 2y

This expression shows that Tomas buys 4 boxes of crunchy granola bars, each containing x bars, and 2 boxes of chewy granola bars, each containing y bars.

To find the total number of granola bars that Tomas buys after 5 months, we need to multiply the expression by 5, since he buys granola bars each month for 5 months. This gives us the expression:

5(4x + 2y) = 20x + 10y

Alternatively, we can also express the total number of granola bars that Tomas buys in 5 months using the following expression:

5x(4) + 5y(2) = 20x + 10y

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Answer: The measure of Angle A is 46 degrees.

Step-by-step explanation:

Complementary angles are angles that when both added together are equal to 90 degrees. So the measure of angle A plus the measure of angle B is equal to 90 or 3x - 2 + 2x + 12 = 90. Add like terms so you get 5x + 10 = 90. Subtract 10 on both sides you get 5x = 80. Divide by 5 on both sides and you get x = 16. To find the measure of angle A, plug in your x value. So M<A = 3(16) - 2. Ange A is equal to 46. I double checked my answer too and plugged my x value into M<B and got 44. So indeed 44 + 46 = 90.

Answer: Given the equation V = Sp.v, to solve for v, we need to divide both sides of the equation by Sp.

V / Sp = v

So v = V / Sp

Here, V is the volume of the item being sold, Sp is the price per unit, and v is the number of units being sold. By dividing V by Sp, we can find the number of units being sold (v) at a given price per unit.

Step-by-step explanation:

The percentage of people who took less than 30 seconds to complete

the task 84.4%.

The diagram shows us how many people finished the task in what time.

40 people finished in 5-10 seconds.

40 people finished in 10-15 seconds.

30 people finished in 15-20 seconds.

30 people finished in 20-25 seconds.

25 people finished in 25-30 seconds.

25 people finished in 30-35 seconds.

25 people finished in 35-40 seconds.

25 people finished in 40-45 seconds.

15 people finished in 45-50 seconds.

That is what the diagram is telling us, and what "frequency" means in this case.

Therefore,

In total, 255 people participated.

only the last 2 groups took longer than 40 seconds.

Therefore,

The estimate of how many took less than 40 seconds is

255 - 25 - 15 = 215 people.

215 people are how many % of 255 :

100% = 255

1%  = 100%/100

     = 255/100

     = 2.55

215 is a many % as how often 1% fits into these 215 :

215 / 2.55 = 84.31372549%

                 ≈ 84.4%

Complete Question:

Times taken to complete a task. Here is a histogram showing the times taken to complete a task.

40- Estimate the percentage of 35 people who took less than 40 seconds to complete the task.

Give your answer to 1 decimal place.

Frequency Density : 1 5 0 5

Time (Density) :

10 15 20 25 30 35 40 45 50

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The mean number of days to maturity for dollars invested in these five money market funds is approximately 8.95 days.

To calculate the weighted mean of the days to maturity, we need to multiply each value of days to maturity by its corresponding dollar value, sum the products, and divide the result by the total dollar value.

The calculation for the weighted mean is as follows:

Weighted Mean = (D1 x V1 + D2 x V2 + D3 x V3 + D4 x V4 + D5 x V5) / (V1 + V2 + V3 + V4 + V5)

where D represents the days to maturity and V represents the dollar value.

Using the given values, we can plug them into the formula and get:

Weighted Mean = (15 x 15 + 11 x 10 + 7 x 25 + 5 x 15 + 4 x 10) / (15 + 10 + 25 + 15 + 10)

Weighted Mean = 8.95 (rounded to two decimal places)

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Answer:

29.22

Step-by-step explanation:

The complete expression in the blank is cos (56°) = sin(34°)​

From the question, we have the following parameters that can be used in our computation:

cos (56°) = sin(°)​

The blank expression can be calculated as

When x + y = 90;

sin(x) = cos(y)

Using the above as a guide, we have the following:

Blank + 56 = 90

Evakuate the like terms

Blank = 34

So, we have

cos (56°) = sin(34°)​

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The measurements required to provide a 95% confidence interval in the true mean to within plus minus 0.28v  are 2 measurements and they are 1.24v and 1.8v .

Given that, based on 51 measurements of time-dependent electrical signal, the standard deviation is 1.52 v

The 95 confidence interval in its true mean value is 0.28 and the measurements required to provide a 95% confidence interval in the true mean to within plus minus 0.28v  are 2 measurements and they are 1.24v and 1.8v

A Standard Deviation of the R.V.(random variable), a sample, and a statistical population, the data set, or the probability distribution is the square root of the its variance

A True Mean refers to a population mean. It actually would not have a population mean, because since it is the either impossible to get and probably the time consuming and too much expensive to get it.

Therefore, the 95 confidence interval in its true mean value is 0.28 and the measurements required to provide a 95% confidence interval in the true mean to within plus minus 0.28v  are 2 measurements and they are 1.24v and 1.8v

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the area of the rectangle is 1000m² and The expression of the area A(x) = 200x,

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Area of rectangle is A = a*b

One side of rectangle is 200m

When the measure of the other side is 50 m

the area will be 50*200 = 1000m².

The expression of area A(x) = 200x,

hence the area of the rectangle is 1000m² and The expression of the area A(x) = 200x,

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Answer:

Subtracting integers can be represented using integer tiles. For example, if we want to subtract -3 from 4, we can lay out 4 tiles on the number line and then add -3 tiles, like this:

4 3 2 1 0 -1 -2 -3

The subtraction problem can be represented as 4 + (-3). Adding the opposite of the second number, as Paul suggests, means finding the sum of 4 and -3, which is 1. So, Paul is correct that subtracting integers is equivalent to adding the opposite of the second number.

Plan B will save you money for a 1-day rental if you drive more than 166.67 miles.

To determine the range of miles for which Plan B will save money over Plan A for a 1-day rental, we need to set up an equation that compares the total cost of each plan.

For Plan A, the cost is given by:

Cost(A) = 30 + 0.12x

where x is the number of miles driven.

For Plan B, the cost is given by:

Cost(B) = 50

since there is no additional charge for mileage.

To determine the range of miles for which Plan B is cheaper than Plan A, we need to find the value of x for which:

Cost(B) < Cost(A)

Substituting the expressions for the costs of each plan, we get:

50 < 30 + 0.12x

Simplifying this inequality, we get:

0.12x > 20

x > 20 / 0.12

x > 166.67

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A sample size of at least 424 students is required to obtain a 90% confidence interval with a margin of error of at most 0.04.

To determine the required sample size for a 90% confidence interval with a margin of error of at most 0.04, we can use the formula:

[tex]n = \left(\frac{z \cdot \sigma}{E}\right)^2[/tex]

where:

n is the sample size

z is the z-score associated with the desired confidence level (90% confidence level corresponds to z = 1.645)

σ is the standard deviation of the population (unknown, so we use 0.5 as a conservative estimate, since the proportion of students who would patronize the nightclub is unknown and assumed to be 0.5 for maximum variability)

E is the maximum desired margin of error (0.04)

Plugging in the values, we get:

n = (1.645 * 0.5 / 0.04)²

n ≈ 424

Therefore, a sample size of at least 424 students is required to obtain a 90% confidence interval with a margin of error of at most 0.04.

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The twins are 6 years old, and the oldest sister is 13 years old (since they were born seven years after their older sister).

7.3% of women under the age of 35. 6.9% of females aged 35 to 37. 6.8% of women aged 38 to 40 were female. 5.1% of females aged 41 to 42.

Starting out, let's assign some variables.

Let x represent the sister's older sister's age in years.

The twins' age is then x – 7. (since they were born seven years after their older sister).

We are told that the product of the three siblings' ages is 2693 more than the sum of their ages. This can be expressed algebraically as:

x(x - 7)(x - 7) = x + (x - 7) + (x - 7) + 2693

Simplifying this equation gives:

x³ - 21x² + 98x - 2693 = 0

We can see that x = 13 is a root of the equation, since:

13³ - 21(13)² + 98(13) - 2693 = 0

This means that (x - 13) is a factor of the equation.

We can use polynomial division or synthetic division to divide the equation by (x - 13) and obtain a quadratic equation:

x² - 8x + 207 = 0

The solutions of this quadratic equation are:

x = (8 ± sqrt(8² - 4(1)(207))) / 2 = 4 ± sqrt(241)

Since x represents the age of the older sister, which must be a positive integer, the only valid solution is:

x = 13

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It should be noted that the relationship between the balance and the number of withdrawals is linear, because there is a constant amount of $10 per withdrawal.

To confirm this, we can calculate the differences in balance for each pair of withdrawals:

Between withdrawals 3 and 2: 170 - 140 = 30

Based on the information, the starting amount is $200.

The equation to illustrate the withdrawal will be:

= 200 - 10w

where w = withdrawal.

These differences are constant, which means the rate of change of the balance is constant too.

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To solve this system, we must first determine the number of available rooms in each city, as well as the per-night cost of hotel rooms. Without that information, we can't tell if the club can spend three nights in city A and six nights in city B, or seven nights in city A and three nights in city B.

Let's start by defining the variables we'll need to solve this problem:

Assume that x is the number of nights spent in City A.

Let y represent the number of nights in City B.

To determine whether the club can spend three nights in city A and six nights in city B, or seven nights in city A and three nights in city B, we must first determine whether the total cost of hotels and fuel for each scenario is less than or equal to $4200.

Given that the estimated cost of fuel is $200, the cost of hotels must be less than or equal to $4000.

The following equations calculate the cost of hotels for each scenario:

We also know that the club can only spend a total of 10 nights, so x + y must be less than or equal to 10.

Finally, we must ensure that the club can book four rooms each night. This means that the number of rooms required per night in each city is four times the number of nights. As a result, we must have:

When we combine all of these constraints, we get the following system of linear equations:

3x + 6y + 200 ≤ 4200 (cost constraint for spending 3 nights in city A and 6 nights in city B)

7x + 3y + 200 ≤ 4200 (cost constraint for spending 7 nights in city A and 3 nights in city B)

x + y ≤ 10 (total number of nights constraint) (total number of nights constraint)

A city with 4x available rooms (room constraint for city A)

4y rooms available in city B (room constraint for city B)

To solve this system, we must first determine the number of available rooms in each city as well as the cost of hotel rooms per night. We can't tell if the club can spend three nights in city A and six nights in city B, or seven nights in city A and three nights in city B, without that information.

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Answer:

684sq in

Step-by-step explanation:

The surface area of a rectangular prism can be calculated by adding up the areas of all six faces. If the dimensions of the prism are 6 inches, 15 inches, and 12 inches, then the surface area can be calculated as follows:

2(lw + lh + wh)

where l is the length, w is the width, and h is the height.

Substituting the given values, we get:

2(6 * 15 + 6 * 12 + 15 * 12)

= 2(90 + 72 + 180)

= 2(342)

= 684 square inches

So, the surface area of the rectangular prism is 684 square inches.

The only possible solution for system is A = 2, B = 1, and C = 3, which means Thutmose got the emperor size crown and cloak, Kamose got the prince size cloak and king size crown, and Ahmose got the king size cloak and prince size crown.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let's us consider the sizes of the cloaks by C (prince), B (king), and A (emperor)

The sizes of the crowns by 1 (prince), 2 (king), and 3 (emperor).

Now let us write the following system of inequalities:

B > C

A > B

3 = C (Thutmose's crown matches Kamose's cloak)

2 > C

A > 3

A > 2 (Thutmose's crown is larger than the king size crown)

From the fifth inequality, we know that Thutmose's cloak is the largest of all three cloaks, so A must equal C.

Therefore, we can simplify the system of inequalities to:

B > C, A > B, C = 3, 2 > C, A > 3 and A > 2

Hence, the only possible solution for system is A = 2, B = 1, and C = 3, which means Thutmose got the emperor size crown and cloak, Kamose got the prince size cloak and king size crown, and Ahmose got the king size cloak and prince size crown.

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