in a chi-square test of goodness of fit, if the value of the test statistics is 10.42 and there are four populations, then the p-value is ___________(round your answer to 4 decimal places)

(a) 8.88% per year, compounded quarterly. The periodic interest rate is 0.0222.

Periodic Interest Rate = Nominal Interest Rate / Number of Compounding Periods

In this case, the nominal interest rate is 8.88% and it is compounded quarterly, which means there are 4 compounding periods per year:

Periodic Interest Rate = 8.88% / 4

= 0.0888 / 4

= 0.0222 (rounded to four decimal places)

Therefore, the periodic interest rate is 0.0222.

(b) 9.55% per year, compounded semiannually. The periodic interest rate is 0.0478.

Periodic Interest Rate = Nominal Interest Rate / Number of Compounding Periods

In this case, the nominal interest rate is 9.55% and it is compounded semiannually, which means there are 2 compounding periods per year:

Periodic Interest Rate = 9.55% / 2

= 0.0955 / 2

= 0.04775 (rounded to four decimal places)

Therefore, the periodic interest rate is 0.0478.

(c) 7.03% per year, compounded daily. The periodic interest rate is 0.0192.

Periodic Interest Rate = Nominal Interest Rate / Number of Compounding Periods

In this case, the nominal interest rate is 7.03% and it is compounded daily, which means there are 365 compounding periods per year:

Periodic Interest Rate = 7.03% / 365

= 0.0703 / 365

= 0.000192 (rounded to four decimal places)

Therefore, the periodic interest rate is 0.0192.

You borrowed $950 from the payday loan office for 15 months, and they charge you simple interest at a rate of 6% per year. Simple interest is calculated using the formula:

Interest = Principal * Rate * Time

In this case, the principal is $950, the rate is 6% per year, and the time is 15 months (which we need to convert to years):

Time in years = 15 months / 12 months per year

= 1.25 years

Now, we can calculate the interest:

Interest = $950 * 6% * 1.25

= $950 * 0.06 * 1.25

= $71.25

Therefore, you owe the payday loan office $950 + $71.25 = $1,021.25. Rounded to the nearest cent, you owe them $1,021.25.

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The calculated average thickness from the indirect method in Table 3 is slightly higher than the direct measurement, which suggests that there may have been some error in the calculations or measurements used in the indirect method.

Table 1 - Indirect Measurement

Trial Volume (CM3) Diameter (CM) Radius (CM) M&M Thickness (CM)

1 75 11.34 5.67 0.743

2 83 12.17 6.085 0.713

Table 2 - Direct Measurement

Trial M&M Thickness (CM)

1 0.10642

2 0.20741

3 0.683

Table 3 - Calculated Averages

Method Calculated Average Thickness (cm)

Indirect (from Table 1) 0.728

Direct (from Table 2) 0.665

The direct method yields the "best" value for the average thickness of an M&M from the package because it involves directly measuring the thickness using a vernier caliper, which is a more accurate and precise method than calculating the thickness indirectly using volume and diameter measurements. Additionally, the calculated average thickness from the indirect method in Table 3 is slightly higher than the direct measurement, which suggests that there may have been some error in the calculations or measurements used in the indirect method.

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Answer:

a) a = 13

b) see explanation

c) x = 10

d) b = 13

Step-by-step explanation:

a) Use the Pythagorean Theorem as directed by the problem.

\(\textrm{(leg 1)}^2 + \textrm{(leg 2)}^2 = \textrm{(hypotenuse)}^2\)

\(12^2 + 5^2 = a^2\)

\(144 + 25 = a^2\)

\(\sqrt{169} = a\)

\(13 = a\)

a = 13

b) △ABE and △ACD:

- share angle C, and all right angles are congruent.

- share angle A, and any angle is congruent to itself.

- Therefore, they are similar using the AA theorem.

c) To solve for x, compare the ratios of the bottom sides to the right sides.

12 : (12 + 12)

12 : 24     →   24 = 12 · 2

5  :  x

x = 5 · 2

x = 10

d) Since we have already found the other two sides of △ACD, we can find its hypotenuse using the Pythagorean theorem and some extra algebra.

LET \(y = a + b\)

--------------------------------

\((12 + 12)^2 + x^2 = y^2\)

\(24^2 + 10^2 = y^2\)

\(576 + 100 = y^2\)

\(\sqrt{676} = y\)

\(26 = y\)

Now that we have solved for y, we can now plug y into the auxiliary equation from the beginning of step d.

\(y = a + b\)

\(26 = 13 + b\)

\(13 = b\)

b = 13

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

How to Solve for l: s=l+w

if s = l + w

l = s - w

So, there is three pounds. Each bag gets a half pound. Two half pounds = one full pound. One full pound is two bags. Another pound is another two bags. And same with another. So that'd be 6 bags, one half pound each.

If four fudge machines complete a big order in 32 hours. then it takes 128 hours  to complete the order with 4 times the number of machines.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The number of machines in a factory are four

4 machines complete a big order in 32 hours.

If all the machines at the fudge factory work at the same pace, we need to find How many hours would it take to complete the order with 4 times the number of machines.

4 times the number of machines.

=4×4=16 machine.

How long it will take for 16 machines to complete the same order.

4/32=16/x

Apply cross multiplication

4x=512

x=128

Hence 128 hours would it take to complete the order with 4 times the number of machines.

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Step-by-step explanation:

\(\huge\bold\purple{ 5 \: dollar }\)

Answer: 5

Explination: 100/20=5 or 20*5=100

The length of side LJ in triangle JKL is approximately 12.27 centimetre .

To determine the length of side LJ in triangle JKL, we can use the concept of similarity between triangles. When two triangles are similar, their corresponding sides are proportional.

Length of side XY in triangle XYZ: 8.7

Length of side XZ in triangle XYZ: 8.2

Length of side YZ in triangle XYZ: 7.8

Length of side JK in triangle JKL: 13.05

Let's set up the proportion using the corresponding sides:

XY / JK = XZ / LJ = YZ / KL

Substituting the given values:

8.7 / 13.05 = 8.2 / LJ = 7.8 / KL

Now, we can solve for LJ:

8.2 / LJ = 8.7 / 13.05

Cross-multiplying:

8.2 * 13.05 = 8.7 * LJ

106.71 = 8.7 * LJ

Dividing both sides by 8.7:

LJ = 106.71 / 8.7

LJ ≈ 12.27

Therefore, the length of side LJ in triangle JKL is approximately 12.27cemtimetre .

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To determine the forces in members CD, Cl, and Hl in the given truss, we need additional information such as the lengths of the truss members and the angles between them.

However,  the general approach to solving such problems.

1. Force in member CD: To find the force in member CD, we need to perform a force analysis of the joints connected by this member. This involves applying the equations of equilibrium to the forces acting on the joint. By considering the forces in the other members and the applied load, we can determine the force in member CD.

2. Force in member Cl: Similar to finding the force in member CD, we need to analyze the forces acting on the joints connected by member Cl. By applying equilibrium equations, we can solve for the force in this member.

3. Force in member Hl: Again, we perform a force analysis on the joints connected by member Hl. Equilibrium equations are applied to determine the force in this member.

To obtain specific values for the forces, it is necessary to know the lengths of the truss members, the angles between the members, and any additional information such as support conditions or external loads. With these details, the truss can be analyzed using methods like the method of joints or the method of sections to determine the forces in each member.

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Possible length of the third side of the Triangle must be between 11 and 23.

As the third side of the triangle is between the sum of the sides and difference of the sides excluding both the numbers.

As triangle consist of three sides and it should must be in between two extreme values.

As by the property of Triangle

Third side should be less than sum of the sides and,

it should be greater than difference of the sides.

Sum of the sides = AB + BC = 6 + 17 = 23

Difference of the sides = 17 - 6 = 11

Then the third side will be between 11 and 23 excluding 11 and 23.

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Answer:

Cone Volume = (PI * radius^2 * height) / 3

96 cc = (PI * radius^2 * 14) / 3

(96 * 3) / (PI * 14) = radius^2

radius ^ 2 = 6.5480890872

radius = 2.5589234235

diameter = radius *2 = 5.117846847  cm

diameter = 5.12 cm (rounded)

Step-by-step explanation:

Multiplying x by any positive number smaller than 1 will result in some smaller value.

For example, if the scale factor is k = 0.5, then we can think of this as the fraction k = 1/2. Multiplying by 1/2 will make any number smaller, namely, exactly half as much.

We are taking a fractional part of the original number, so its expected the result is smaller. It's like having a whole cake and we only take slices of that cake to end up with the new value. There's no way having one or more slice be larger than the original whole amount.

Because things are getting smaller, we call this type of dilation to be a reduction or we can call it shrinking. This is in contrast to an enlargement when k > 1.

-----------------------------------------

More info (optional section)

Claim:  For some positive number k such that k < 1, we have xk < x when x is positive.

The proof of this claim is fairly straight forward.

We multiply both sides of k < 1 by x to get

k < 1

x*k < x*1

xk < x

The inequality sign does not flip because we're multiplying both sides by a positive number x.

So because xk < x, this shows that the original value x gets smaller to xk when we apply the positive scale factor k such that k < 1. This is the same as saying 0 < k < 1. Furthermore, xk < x is the same as 0 < xk < x.

The polygons that are congruent are as attached.

Congruent polygons are two or more polyggon shapes that have the same size and shape. In other words, they have the same number of sides, the same length of sides, and the same interior angles. If you were to superimpose one congruent polygon over the other, they would perfectly fit and cover each other.

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Answer:

5×5×5

Step-by-step explanation:

hey it's your answer

have a great day dear

Answer:

Step-by-step explanation:

Volume of a cube:

If you have an expression 5³, it means 5 is multiplied by itself 3 times:

To solve this problem, we can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X=k) is the probability of getting k nonconforming washing machines in the sample
- n is the sample size, which is 10 in this case
- p is the probability of getting a nonconforming washing machine, which is 0.08
- (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n without replacement, and is calculated as n! / (k! * (n-k)!)

So, to find the probability of getting 1 nonconforming washing machine in the sample, we plug in k=1:

P(X=1) = (10 choose 1) * 0.08^1 * (1-0.08)^(10-1)
P(X=1) = 10 * 0.08 * 0.9227
P(X=1) = 0.0738

Therefore, the probability of getting 1 nonconforming washing machine in the sample is approximately 0.0738, or 7.38%.

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The function g(x) is not one-to-one. However, a restricted domain where g(x) is one-to-one and non-decreasing is x ≤ -4.

To determine if g(x) is one-to-one, we need to check if different inputs (x-values) produce different outputs (y-values). In the case of g(x) = -(x+4)^2 - 7, we can see that different x-values can result in the same y-value. For example, if we substitute x = -5 and x = -3 into g(x), we get the same output of -7. This violates the one-to-one property. To find a restricted domain where g(x) is one-to-one and non-decreasing, we can analyze the graph of the function. The graph of g(x) is a downward-opening parabola with its vertex at (-4, -7). It is symmetric with respect to the vertical line x = -4. This symmetry indicates that the function is not one-to-one across its entire domain. However, if we restrict the domain to x ≤ -4 (including -4), we can observe that the function is one-to-one within this range. As x values decrease, the corresponding y values also decrease, making g(x) non-decreasing. In other words, within this restricted domain, different x-values will always produce different y-values, satisfying the one-to-one property.

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Answer:

it lies on 4 faces hope it helps

Answer:

The answer is four.

Step-by-step explanation:

Answer:

117yd^2

Step-by-step explanation:

First find area of rectangle = length times width = 63(7*9)

Then find area of triangle = 1/2 length times width = 54(1/2*12*9)

The 12 is from 19 minus 7

The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.

An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).

Based on the given information, we have the following main effects and interactions:

1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.

2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.

3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.

Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.

Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:x = -3 \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: CD + DE = CE\)

\(\qquad \tt \rightarrow \: x + 10 + x + 4 = 8\)

\(\qquad \tt \rightarrow \: 2x + 14 = 8\)

\(\qquad \tt \rightarrow \: 2x =8 - 14\)

\(\qquad \tt \rightarrow \: 2x = - 6\)

\(\qquad \tt \rightarrow \: x = - 3\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

\(\huge \boxed{\sf x=-3}\\\\\\\displaystyle \sf CD+DE=8 \\\\x+10+x+4=8\\\\2x+14=8\\\\Subtracting\ 14\ from\ each\ side\\\\ 2x+14-14=8-14\\\\2x=-6\\\\ Dividing\ each\ side\ by\ 2 \\\\ \frac{2x}{2} =\frac{-6}{2} \\\\x=-3\)

Answer:

8:2

32:8

Step-by-step explanation:

It's pretty simple:

If there's 32 boys, which is 4 times the amount you start with, you have to apply that to the number of girls as well since for every 8 boys, there is 2 girls.

8x4

2x4

32:8 Hope this helps

Answer:

8 girls are wearing neon blue.

Step-by-step explanation:

There are several ways to do this but one of them is to find how many groups of 8 boys are in 32. To do this we divide 32 by 8 which equals 4. We then multiply 2 by 4 which is 8.

Answer:

105 m²

Step-by-step explanation:

Dividing the figure into 3 rectangle will be easier to find its area.

The area of the larger rectangle

= (10-5) × 13

= 65 m²

The total area of the 2 smaller rectangles

= 2 × (4×5)

= 40 m²

The area of the figure

= 65 + 40

= 105 m²

Answer:

Step-by-step explanation:

2115

Answer:

456 is the answer

Step-by-step explanation:

(4y(5))^2+9z(7)-7

Answer:

I NEED HELP ON THE SAME QUESTION

Step-by-step explanation:

NO ONE INDERSTANDS JT FOR SOME REASON AND NEITHER DO I

The probability that of 5 people hired, exactly 2 are from New Jersey is 0.3857.

Given: A company in New Jersey is hiring 5 people for a position. Of the applicants, 7 are from New Jersey, 8 are from New York, and 5 are from Pennsylvania.

The probability formula is given by:

P(E) = n(E)/n(S),

whereP(E) = Probability of Event, n(E) = Number of favorable outcomes, n(S) = Total number of outcomes

Total number of applicants = 7+8+5=20

Number of applicants hired = 5

Since the number of applicants hired is unknown, we will use a combination to solve it.

Exactly 2 are from New Jersey, and 3 from New York and Pennsylvania.

Using the combination, we get 7C2 ways to select two candidates from New Jersey and 13C3 ways to select three candidates from New York and Pennsylvania.

Using the multiplication principle of counting, we get that the total number of favorable outcomes is:

7C2 × 13C3

= (7 × 6)/2! × (13 × 12 × 11)/3!

= 210 × 286

= 60060

Therefore, the probability of exactly 2 people being from New Jersey is:

P = (number of favorable outcomes)/(total outcomes)

P = 60060/15504P

= 0.3857 (approx)

Therefore, the probability that of the 5 people hired, exactly 2 are from New Jersey is 0.3857.

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Answer: 9/8 feet per hour fast is Kelly's knitting speed

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 4 meters per second or 4 miles per hour.

As per the statement:

Kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf.

She took /3 hours to knit 3/8 foot of the scarf.

Therefore, 9/8 feet per hour fast is Kelly's knitting speed.

Hope I helped!

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

\( = 3.5 \times 3 \\ = 10.5 {mm}^{2} \)

Area of Quarter- Circle = 1/4 x Area of Circle

\( = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} \)

Area of Rectangle at the right = Length x Width

\( = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} \)

Total Area = Area of 2 Rectangles + Area of Quarter Circle

\( = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} \)

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

The length of each side of the courtyard is 25 meters. Then 35.36 meters long is each walkway.

In the given question, a school has a square courtyard and wants to create diagonal walkways.

The length of each side of the courtyard is 25 meters.

We have to find how long is each walkway.

By dividing the square in half to form a right triangle, you can find the solution. The Pythagorean theorem can then be used to find the hypotenuse.

According the Pythagorean Theorem

\(a^2+b^2 = c^2\)

\((25)^2+(25)^2=c^2\)

Now solving,

625 + 625 = \(c^2\)

\(c^2\) = 1250

Taking square root on both side, we get

c = 35.36 meters.

Hence, 35.36 meters long is each walkway.

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Answer:

Step-by-step explanation:

the value of x should iam not sure but should be 75 degrees

Answer:

is around 70 degrees

Step-by-step explanation:

because the x doesn't reach the topic the triangle