Jake drove 66 miles in 2/5 hour. what's the unit rate in miles per hour?

Since all three principles of experimental design are likely to have been used in the study described, Therefore option D is correct.

All of the above are principles of experimental design. Randomization helps to ensure that groups are similar in all aspects except for the treatment received, reducing the effects of confounding variables. Replication allows for assessing the variability and consistency of results. Blinding reduces the risk of bias by preventing participants or researchers from knowing which treatment was received. The study described in the question uses all of these principles of experimental design.

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Answer:

-6,48,-24,12,-6, 3

the position vector of Z, vector Z, is simply: Vector Z = q * vector O = 0 * vector O = vector 0

Let's consider the position vector of Z, which we'll denote as vector Z.

We know that Z lies on the line segment PQ, and the ratio PZ:ZQ is given as 5:2.

First, let's express vector P and vector Q in terms of p and q:

Vector P = p * vector OP

Vector Q = q * vector OQ

Since vector OP = vector OQ = vector O, we have:

Vector P = p * vector O

Vector Q = q * vector O

Now, let's find vector Z.

Since PZ:ZQ = 5:2, we can express this ratio in terms of vector P and vector Q:

Vector PZ = (5/7) * vector PQ

Vector ZQ = (2/7) * vector PQ

Vector PQ = Vector PZ + Vector ZQ

Replacing vector P and vector Q in terms of p and q:

p * vector O = (5/7) * vector PQ + (2/7) * vector PQ

p * vector O = (7/7) * vector PQ

Canceling out the common factor of 7, we get:

p * vector O = vector PQ

Now, let's express vector PQ in terms of p and q:

Vector PQ = p * vector O + q * vector O

Vector PQ = (p + q) * vector O

Substituting this into the previous equation:

p * vector O = (p + q) * vector O

Canceling out the common factor of vector O (which is not the zero vector since O is the origin), we get:

p = p + q

Simplifying this equation, we find:

q = 0

Therefore, the position vector of Z, vector Z, is simply:

Vector Z = q * vector O = 0 * vector O = vector 0

In terms of p and q, the position vector of Z is the zero vector.

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Answer:

7

Step-by-step explanation:

plug in m and n

m = 5

n = 3

so...

2(5) - (3)

10 - 3

7

Answer: 2 * m(10) - n(3) = 17

Step-by-step explanation:

2 times 10 gives you 20 and minus 3 would give you 17.

Hope this Helps! ;)

Step-by-step explanation:

12 - 6.78 = 5.22 gallons

so, there were still 5.22 gallons in the tank.

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

the ratio of two polynomials

Step-by-step explanation:

Answer:

6.50w

Step-by-step explanation:

Given that :

Weight ________ Cost ($)

1 ______________6.50

2 _____________ 13.00

3 _____________ 19.50

Cost of package that weighs w pounds

If one pound = 6.50

2 pounds = 13.0

Then, the cost per pound = $6.50

Hence, cost of package that weighs w pounds will be ;

$6.50 * w = $6.50w

Answer:

It's A 100% I got it right!!

Step-by-step explanation:

6x^2 -11x+6

..........................

The sum of the two quadratic equations will be 6x² -11x+6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two quadratic equations are  2x² - 5x -2 and 4x² - 6x + 8. The sum of the equations will be calculated below,

Sum  = 2x² - 5x -2 + 4x² - 6x + 8.

Sum =  2x² + 4x² -5x - 6x +8 - 2

Sum = 6x² - 11x + 6

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Answer:

24

Step-by-step explanation:

15 =4

15x 6=90

4x6=24

Answer:

15 foot tree = 4 foot shadow

90 foot telephone pole

Setting up a proportion:

15 / 4 = 90 / x

15x = 360

x = 24 feet (telephone pole shadow)

Step-by-step explanation:

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

I need the width in order to solve it. . .

Formula - To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

Was there a width?

Answer:

3 dogs dont get a bone

Step-by-step explanation:

there are 8 dogs and 5 bones if you give one bone to each dog then 3 dogs will remain without one making the answer 3

hope this helped

1.L{t² + 1} = 2/s³ + 1/s  2.L{sint + cost} = 1/(s² + 1) + s/(s² + 1) 3.L{et - e^-t} = 1/(s - 1) - 1/(s + 1)  4.L{t³sin²t} = (6/s⁴) * (1 - s/(s² + 4))/2 5.L{t²e^-2t + e^-1cos(2t) + 3} = 2/ (s + 2)³ + 1/(s + 1) * s/(s² + 4) + 3/s

To determine the Laplace transforms of the given functions, we can use the standard Laplace transform formulas. The Laplace transform of a function f(t) is denoted as F(s).

Laplace transform of t² + 1:

The Laplace transform of t² is given by:

L{t²} = 2!/s³ = 2/s³

The Laplace transform of 1 (constant term) is:

L{1} = 1/s

Laplace transform of sint + cost:

The Laplace transform of sint is given by:

L{sint} = 1/(s² + 1)

The Laplace transform of cost is given by:

L{cost} = s/(s² + 1)

Laplace transform of et - e^-t:

The Laplace transform of et is given by:

L{et} = 1/(s - 1)

The Laplace transform of e^-t is given by:

L{e^-t} = 1/(s + 1)

Therefore, the Laplace transform of et - e^-t is:

L{et - e^-t} = 1/(s - 1) - 1/(s + 1)

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Answer:

so the answer to 5٪ of 40 is 2

If a significance test is significant at the 5% level, it does not necessarily mean that it is significant at the 1% level, as the latter requires even stronger evidence against the null hypothesis.

If a significance test is significant at the 5% level, it means that the probability of obtaining a result at least as extreme as the one observed under the null hypothesis is less than or equal to 5%. In other words, there is strong evidence against the null hypothesis at the 5% significance level.

However, this does not necessarily mean that the test will be significant at the 1% level. The 1% level is a more stringent threshold than the 5% level, meaning that the null hypothesis must be even less plausible to be rejected at this level.

To determine whether the test is significant at the 1% level, one would need to perform the test again using the same data, but with a more stringent significance level of 1%. If the result is still significant at this level, then one can conclude that there is even stronger evidence against the null hypothesis, but if not, then the result would not be considered significant at the 1% level

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Answer:

13:5, or 13 to 5.

Step-by-step explanation:

The 13-to-5 expression can be useful when answering questions about the ratio.

Answer:

7:13

Step-by-step explanation:

That's the simplest form since they're both prime numbers.

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

The area model is a method of representing multiplication that uses rectangles to represent each factor and the product. It is a visual way of breaking down a multiplication problem into smaller, more manageable parts.

   5  2  8  1

x           8

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

     4  2  2  4

4  2  2  4    

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

4  2  2  4  8

So, 5,281 x 8 = 42,248.

The completed area model is:

200

640

-----

42248

what is area ?

Area is a measure of the size of a two-dimensional surface or region. It is the amount of space within the boundaries of a flat object or shape, such as a square, rectangle, circle, or triangle. The unit used to measure area is typically square units, such as square feet, square meters, or square centimeters. To calculate the area of a shape, you typically multiply the length by the width (for rectangles) or use specific formulas for other shapes.

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Answer:

6960

Step-by-step explanation:

Answer:

0.21

Step-by-step explanation:

For independent probalities, the chance of both things happening is their product. 0.3 * 0.7 = 0.21

There are several factors to consider when determining whether samples are independent or not, such as the method of sampling, the characteristics of the participants, and the study design.

Based on the information provided, here are some possible answers:

A sample of school-aged children tested twice before and after an intervention: In this case, the samples are not independent, because the same children are tested twice, and the second measurement may be influenced by the first one (e.g. if they learn from their mistakes).

Therefore, there is a potential for carry-over effects or repeated measures. To address this, the study may use a crossover design, counterbalancing, or a washout period between the measurements.

Two groups of ASU students were surveyed, one from the Phoenix campus and one from the Tempe campus: In this case, the samples are independent, because they are drawn from two different populations (i.e., students from different campuses).

Therefore, there is no overlap or dependence between the groups, and each group can be treated as a separate sample. However, the study may need to control for other factors that could affect the results (e.g., age, gender, major).

A sample of 100 women was randomly divided into two groups, one for the control and one for the experimental group: In this case, the samples are independent, because they are randomly assigned to different groups. Therefore, there is no systematic bias or confounding variable that would affect the assignment or the outcome.

However, the study may need to ensure that the randomization process is truly random and that the groups are comparable in terms of baseline characteristics.

Multiple pairs of identical and fraternal twins both enrolled in the study are each separated into two groups: In this case, the samples are not independent, because the twins are related to each other (either genetically or environmentally).

Therefore, there is a potential for shared variance or clustering effects within each pair, and the independence assumption may not hold. To address this, the study may use a matched-pairs design, a cluster-randomized design, or a multilevel model that accounts for the nesting of the twins.

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If we have a large enough number of samples, the sample mean can provide a reliable estimate of the population mean.

As the number of samples increases, the sample mean can be used to approximate a population mean.

The sample mean is the average value calculated from a subset of the population, which represents the overall population mean when the sample is random and representative.

By taking multiple samples and calculating their means, we can estimate the population mean more accurately.

This is because as the number of samples increases, the sample mean values tend to converge towards the population mean.

This concept is known as the Central Limit Theorem.

Therefore, if we have a large enough number of samples, the sample mean can provide a reliable estimate of the population mean.

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Answer:

Step-by-step explanation:

to get the same denominator we need to x 11/2 by 2

22/4 - 3/4

22-3

=19

19/4

Answer:

beby sing of lain ting is day lrk jih

The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.

To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.

With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.

Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.

Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.

Therefore, the correct answer is A. Plus/minus 0.497.

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The mass of an object will be same as the total sum of its parts or pieces.

For example :

The mass of a whole pizza is 500 grams, If you divide it into half.

The mass of each half pizza will be 250 grams each.

The total mass of two half pizzas is 250 + 250 = 500 grams which is the same as the mass of the whole pizza.

So the correct answer is :

The total mass of all the pieces together will be "Equal to the original mass of the object".

Answer:

x over y , but you'll have to do y over x to get the answer .