Which of the following sets of data is least likely to reject the null hypothesis in a test with the independent-measures t statistic. Assume that other factors are held constant.
a. n = 30 and SS = 190 for both samples
b. n = 15 and SS = 190 for both samples
c. n = 30 and SS = 375 for both samples
d. n = 15 and SS = 375 for both samples

Answer:

Length of AC = 6.67 miles

Step-by-step explanation:

Given:

Angel between B and C = 90°

Angel between A and C = 77°

AB = 1.5 miles

Find:

Length of AC

Computation:

Using trigonometric laws

Cos 77° =  Base / hypotenuses

0.225 = 1.5 / hypotenuses

hypotenuses = 6.67 miles

Length of AC = 6.67 miles

Answer:

-2 degrees per hour

Step-by-step explanation:

Rate of change = -3 1/2 / 1 3/4

= -7/2 / 7/4

= -7/2 * 4/7

= -28/14

= - 2

To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

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Answer: d: -2,2

Step-by-step explanation:

The coordinates of W' after the rotation and the translation is (-2, 2).

Option D is the correct answer.

We have,

The rule for a rotation by 270° about the origin.

(x, y) → (y, −x)

Now,

W = (-4, -3)

Applying the rule.

W = (-3, 4)

Now,

A translation of 2 units down and 1 unit to the right.​

So,

W = (-3, 4)

W = (-3 + 1, 4 - 2)

W = (-2, 2)

Thus,

The coordinates of W' after the rotation and the translation is (-2, 2).

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Answer:

21.15  550 divided by 26 = 21.15.

Step-by-step explanation:

I did the work on my paper. =)

The measures of the angles A = 81.2, B = 65.2, and C = 33.6 to the nearest tenth using the cosine and sine rule.

In trigonometry, the cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles. While sine rule is a relationship between the size of an angle in a triangle and the opposing side.

Considering the given triangle, angle C is calculated with cosine rule as follows;

c² = a² + b² - 2(b)(c)cosC

14² = 25² + 23² - 2(25)(23)cosC

196 = 1154 - 1150cosC

C = cos⁻¹(958/1150)

C = 33.6

by sine rule;

14/sin33.6 = 25/sinA

sinA = (25 × sin33.6)/14 {cross multiplication}

A = sin⁻¹(0.9882)

A = 81.2

B = 180 - (33.6 + 81.2) {sum of interior angles of a triangle}

B = 65.2

With proper application of the cosine and sine rule, we have the measures of the angles A = 81.2, B = 65.2, and C = 33.6 to the nearest tenth.

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Answer:y=x-17

Let me know if you need to show ur work

Answer:

Step-by-step explanation:

i think the last number 2.50 is wrong, maybe is 2.4

total cost= 0.30 x number of miles

for the first 0.30*2=0.60

second 0.30*4=1.20

and so on

Answer:

.60 ÷ 2 = 0.3

1.20 ÷ 4 = 0.3

1.80 ÷ 6 = 0.3

2.50 ÷ 8 = 0.3125 so round it, and it equals 0.3

So are equation would be y ÷ x = 0.3

Step-by-step explanation:

x^2-6x-6x+36=0

x(x-6)-6(x-6)=0

(x-6)(x-6)=0

x=6

Answer:

b and e are the correct numbers

Step-by-step explanation:

i hope this helps :)

The answer to this is 23,440. I got this answer by cheating.

sientific calculator. heh.. :)

Hope this helps!!

The relative risk of being alive at 5-years after diagnosis associated between white men and black men is 2.03.

In the US, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 years at diagnosis of stage IV prostate cancer: 2,337 white men and 344 black men were alive after 5 years of follow-up.

In order to calculate the relative risk of being alive at 5-years after diagnosis associated between white men and black men, we can use the following formula:

Relative risk = [ (number of white men alive after 5 years) / (total number of white men) ] ÷ [ (number of black men alive after 5 years) / (total number of black men) ]

Therefore, substituting the values given in the formula we get;

[ (2,337) / (6,006) ] ÷ [ (344) / (1,126) ] = 0.63 ÷ 0.31 = 2.03

Therefore, the relative risk of being alive at 5-years after diagnosis associated between white men and black men is 2.03.

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In this question, the gradual, long-term movement in time series data is referred to as temporal variation.

The correct answer is a. temporal variation. Temporal variation describes the systematic and long-term changes that occur in time series data over an extended period. It is characterized by a gradual shift or trend in the data points, indicating an underlying pattern or direction.

Temporal variation can be observed in various contexts, such as economic indicators, population growth, weather patterns, and stock market trends. It reflects the impact of factors that change over time, such as demographic shifts, technological advancements, economic cycles, or environmental conditions.

It is important to differentiate temporal variation from other types of movements in time series data. Cyclical movement refers to regular fluctuations that occur within a specific time frame, while exponential smoothing and linear regression are statistical techniques used to analyze and forecast time series data. Therefore, the correct term to describe the gradual, long-term movement in time series data is temporal variation.

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The value of the composite function (g o f)(6) is 3

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

f(x) = 2x + 3

g(x) = 1/5x

A. Find f(6)

substitute the known values in the above equation, so, we have the following representation

f(6) = 2 * 6 + 3

So, we have

f(6) = 15

For the function (gof)(6), we have

g(x) = 1/5x

This gives

(g o f)(6) = 1/5 * 15

Evaluate

(g o f)(6) = 3

Hence, the composite function has a solution of 3

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Complete question

Given that f(x) = 2x + 3 and g(x) = 1/5x

Compute (gof)(6)

A. Find f(6)

B. substitute the value of g(x) into the function f(x) in place of x

Answer:

D)

Step-by-step explanation:

so, it simply means that all 4 events (the 4 machine parts work) are one combined event.

so, the probability that the machine works properly is the product of the 4 single probabilities :

0.97 × 0.97 × 0.99 × 0.93 = 0.86628663 ≈ 0.8663

\(0.75x = 15\)

\(x = \frac{15}{0.75} = 20\)

\(0.15(20) = 3\)

Answer: You can use the definition of percentage and the proportions to solve this question. 75% means 75/100, the you want to know which fraction of 15 equals 75/100, which is to solve this proportion: 75/100 = 15/x. Solving for x, x = 15 * 100 / 75 = 20. You can check that the 75% of 20 is equal to 15: 20 * 75% = 20*75/100 = 15. So, the answer is 20.

Step-by-step explanation:

Answer:

-33c+22d

Step-by-step explanation:

=(−11)(3c+−2d)

=(−11)(3c)+(−11)(−2d)

Answer and Step-by-step explanation:

Then, you can simplify by multiplying through by cos(θ) to get rid of the fraction:

(sin2θ)/cos(θ) + sin(θ)= sin(θ)(1 + cos(θ))/cos(θ)

When simplifying a trigonometric expression, you can use identities and/or algebraic techniques.

There are a few key identities that can be used to simplify trigonometric expressions. One such identity is the Pythagorean identity:

sin2θ + cos2θ = 1.

Another identity is the reciprocal identity:

1/cscθ = sinθ, 1/secθ = cosθ, 1/cotθ = tanθ.

Finally, the quotient identity is another helpful tool:

tanθ = sinθ/cosθ.

To simplify a trigonometric expression using these identities, you should look for ways to rewrite parts of the expression in terms of these identities.

For example, if you have an expression like sin(θ)cos(θ) + cos(θ), you can use the Pythagorean identity to rewrite

sin2θ as 1 - cos2θ, and then substitute that in to get:

(1 - cos2θ)cosθ + cosθ= cosθ - cos3θ

Another example of a trigonometric expression that can be simplified using these techniques is:

tan(θ)sin(θ) + cos(θ)tan(θ)

First, you can use the quotient identity to rewrite tan(θ) as sin(θ)/cos(θ):

(sin(θ)/cos(θ))sin(θ) + cos(θ)(sin(θ)/cos(θ))

Then, you can simplify by multiplying through by cos(θ) to get rid of the fraction:

(sin2θ)/cos(θ) + sin(θ)= sin(θ)(1 + cos(θ))/cos(θ)

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Answer:

y = 4x + 15

Step-by-step explanation:

Using 'y=mx+c' form,

Since m = 4,

y = 4x + c

Substituting (-5, -5) into the above equation:

-5 = -20 + c

c = 15

Hence,

y = 4x + 15

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Answer:

-50

Step-by-step explanation:

I got it correct on iReady Practice: Multiply and Divide Rational - Practice - Level G.

-5 1/12 x 10

The required change in the position of the drill in one day is given as 50 feet. Option B is correct.

Given that,
A research team is planning to use an ice drill at the top of a glacier. The team plans to use the drill for 10 hours each day while the temperature is warmest. The drill's position will move 5 1/12 feet every hour it is used.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Drill length  = 5 1 / 12 = 61 / 12 feet per hour
For 10 hours in a day drill length = 61 / 12 [10] = 50.833 or 50 feet.

Thus, the required change in the position of the drill in one day is given as 50 feet. Option B is correct.

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Answer:

(ASA) Angle Side Angle

Step-by-step explanation:

Both triangles shown have the congruence line on an angle and an adjacent side. ASA proves congruence because in addition to the angle and side, the triangles ADE and CBE share the same angle on point E. Because the two lines are intersecting, their opposite angles are congruent and the triangles share the opposite angles.

The triangle congruence theorem that could be used to show that triangle ADE is congruent to triangle CBE is;

ASA Congruence theorem.

Looking at the given triangles we can say that;

∠AED = ∠CEB

This is because they are both vertically opposite angles and vertically opposite angles are equal.

Now, from the triangle, we are given that;

∠DAE = ∠BCE

We are also given that;

AE = CE

This means that we have 2 corresponding angles and 1 corresponding included side that are congruent.

Thus, the congruence theorem that this represents is ASA Congruence theorem.

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Answer:17.3

Step-by-step explanation:

Answer:

Y = -1/4x + 5

(0, 5) (4, 4)

a. The probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. The probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. The probability of no flaws in a 25-yard piece of material is approximately 0.3679.

To find the probability of exactly two flaws in a 50-yard piece of material, we can use the Poisson distribution. Let λ be the average number of flaws per 50 yards of material, which is 2. Then, the probability of exactly k flaws occurring in a 50-yard piece of material is given by

P(k flaws) = (e^(-λ) × λ^k) / k!

So, for k=2, we have

P(2 flaws) = (e^(-2) × 2^2) / 2! ≈ 0.2707

Therefore, the probability of exactly two flaws in a 50-yard piece of material is approximately 0.2707.

b. To find the probability of no more than two flaws in a 50-yard piece of material, we need to sum the probabilities of having 0, 1, or 2 flaws. So, we have

P(no more than 2 flaws) = P(0 flaws) + P(1 flaw) + P(2 flaws)

We already know P(2 flaws) from part (a). To find P(1 flaw), we can use the same formula as before with λ=2 and k=1

P(1 flaw) = (e^(-2) × 2^1) / 1! ≈ 0.2707

To find P(0 flaws), we use the same formula with λ=2 and k=0

P(0 flaws) = (e^(-2) × 2^0) / 0! ≈ 0.1353

Therefore, we have:

P(no more than 2 flaws) = 0.2707 + 0.2707 + 0.1353 ≈ 0.6767

So, the probability of no more than two flaws in a 50-yard piece of material is approximately 0.6767.

c. To find the probability of no flaws in a 25-yard piece of material, we can again use the Poisson distribution, but with a different value of λ. Since the average number of flaws per 50 yards is 2, the average number of flaws per 25 yards is 1. So, we have:

P(0 flaws) = (e^(-1) × 1^0) / 0! ≈ 0.3679

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The expression for the division of 1/6 gallons by 8 friends is (a) 1/6 ÷ 8

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

Number of friends = 8

The gallon of lemonade = 1/6 gallons

Sharing formula = Equally

From the above parameter, we can calculate the expression

The expression is calculated as

Expression of the division = The gallon of lemonade /Number of friends

Substitute the known values in the above equation

So, we have the following equation

Expression of the division = 1/6/8

Evaluate the quotient

Expression of the division = 1/6 * 1/8

Or

Expression of the division = 1/6 ÷ 8

Hence, the expression of the division is 1/6 ÷ 8

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Using the triangular inequality we conclude that the only correct option is 11 cm and 12cm

Remember that for any triangle of sides A, B, and C, we can define the triangular inequality as:

A + B > C

A + C > B

B + C > A

Now we know that one of the lengths is 22cm, then from the given options the only ones that can be the other sides are:

11cm and 12 cm

Because these are the only ones that meet the inequality:

11cm + 12cm > 22cm

The others are trivially true.

(we discard any option with the 23cm side because the longest side of our triangle is 22cm)

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Answer:

Step-by-step explanation:

$9.87

- 2.81

$7.06 Jenny has left

Answer:

$7.06

Step-by-step explanation:

The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.

The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.

The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).

The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:

H0: μ = 433

The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:

Ha: μ ≠ 433

To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.

If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.

If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.

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