Tracy can type 45 words in 3 minutes. At that rate, how many minutes would it take Tracy to type 315 words?​

at the 5% level of significance, we can conclude that the population median score for the students taking the writing portion of the SAT is not 500.

We can use the Wilcoxon rank-sum test (Mann-Whitney U test) to test the hypothesis that the population median score for the students taking the writing portion of the SAT is 500.

Null Hypothesis: The population median score for the students taking the writing portion of the SAT is 500.

Alternative Hypothesis: The population median score for the students taking the writing portion of the SAT is not 500.

We can use the Wilcoxon rank-sum test because the sample size is small, and the population distribution is not known. The Wilcoxon rank-sum test does not require the normality assumption.

Using the given data, we rank the scores, and then calculate the test statistic U as follows:

Rank: 13 14 2 3 4 6 1 5 7 8 3 11 0 0 9

Sample size (n) = 15

Sum of ranks for students with scores >= 500 (R1) = 61

Sum of ranks for students with scores < 500 (R2) = 54

U = min(R1, R2) = 54

Using Table 1 of Appendix B for alpha = 0.05 and n1 = n2 = 15, the critical value of U is 19.

Since U = 54 is greater than the critical value of 19, we reject the null hypothesis and conclude that there is evidence that the population median score for the students taking the writing portion of the SAT is not 500.

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6.29117647059

This is the answer

Answer: 6.29117647059

Step-by-step explanation:

divide the problem :)

Answer:

B. \( \frac{17}{72}\)

Step-by-step explanation:

\( {a}^{2} + {b}^{3} \\ \\ = \bigg( \frac{1}{3} \bigg)^{2} + \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{9} + \frac{1}{8} \\ \\ = \frac{8 + 9}{9 \times 8} \\ \\ = \frac{17}{72} \\ \)

Answer: -4

Step-by-step explanation: Hello! :) To get started we need to use the equation 7x+3=4x-9, First, we need to subtract 4x from both sides to get 3x+3=-9, then we need to subtract 3 on both sides to get 3x=-12, Finally, we need to divide both sides by 3 to get x = -4. So x = -4.

Hope this helps!

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Answer:

4/5

Step-by-step explanation:

{(2/5) / (1/2)} ×1

= (2/5)÷(1/2)

= 2/5×2/1

= 4/5

Answer:

4/5

Step-by-step explanation:

Because if it can eat 2/5's in 1/2 hours, then if it eats for 1 whole hour or 2/2's it will be able to eat 4/5's of it's own body weight.

Just imagine that one half hour is 1 and if you add two half hours together it makes one complete hour or 2/2. So just multiply it by 2 cause it was eating for two half hours.

\(\frac{2}{5} * 1=2/5\\\frac{2}{5} *2=4/5\)

Answer:

x = 2\(\sqrt{6}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = (\(\sqrt{12}\) )² + (\(\sqrt{12}\) )² [ the 2 legs are congruent ]

x² = 12 + 12 = 24 ( take square root of both sides )

x = \(\sqrt{24}\) = \(\sqrt{4(6)}\) = \(\sqrt{4}\) × \(\sqrt{6}\) = 2\(\sqrt{6}\)

Answer:60

Step-by-step explanation:

Answer:

Eve is 8, 10 in 2 years and peter is 18, 20 in two years

Step-by-step explanation:

26/2=13

Eve = 13    Peter=13

Then just keep subtracting from eve then adding that on to peter. Then add two years everytime for the age they will be in two years

And yh it is basically trial and error

sorry if you get the explanation

Answer:

fixed - monthly rent, car payment, savings for new guitar

variable - movies, video games, snacks

Step-by-step explanation:

Fixed costs are costs that do not vary with output.

the amount of rent paid is fixed.  

Variable costs are costs that vary with production

the amount paid at the movies depend on the number of movies watched

The calculated value of 9.76 should be rounded to 10 for use in the table.

In a two sample test of means with unknown and unequal population variances, the degrees of freedom is calculated as 9.76. When using the t-distribution table, it is important to note that the table only lists integer values for degrees of freedom.  

Therefore, we must round the calculated degrees of freedom to the nearest integer value.

In this case, the nearest integer to 9.76 is 10. Therefore, when using the t-distribution table for this two sample test of means, we should use 10 as the degrees of freedom value.

It is important to note that rounding the degrees of freedom can have a small effect on the accuracy of the results, particularly if the calculated value is close to an integer value. However, in most cases, rounding to the nearest integer is a reasonable approximation.

In summary, when calculating degrees of freedom for a two sample test of means with unknown and unequal population variances, it is important to round to the nearest integer value when using the t-distribution table. In this case, the calculated value of 9.76 should be rounded to 10 for use in the table.

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1) Let's find the standard deviation for this data set:

2) So, let's apply the formula for standard deviation:

3) Let's find the mean and compute the variance:

The sum of all entries is divided by the number of data points.

Now, for the variance:

Finally, we can take the square root of that variance to get the standard deviation:

Answer:

X=108

Step-by-step explanation:

ASSUMING ITS A HEXAGON the sixth angle would be 108 degrees. You get this by adding all the five angles which give you 612. You then subract 612 from 720. Because 720 is the whole measure of  a hexagon. and then when you subtract you get 108.n

Answer:

1.5 square meters for light flooring

0.5 squaremeters in dark flooring

Step-by-step explanation:

Common sense

Answer:

19/20

Step-by-step explanation:

A "simplified fraction" in this case is the ratio of two integers.

0.95 = 95/100 (the ratio of two integers), which in turn can be simplified:

95/100 = 19/20

Answer:

c.) The function is an even function.

1. plug in the values

3(2) - (-1) = 7; true

2(2) + 3(-1) = 1

4 -3 = 1; true

yes, the point is true for the system. .

2.

the solution is referring to where both the lines intercept on the graph.

3. replace 'y' in the first equation with the second equation

3x + 6x + 1 = 10

9x + 1 = 10

9x = 9

x = 1

plug x = 1

y = 6(1) + 1

y = 7

(1,7)

4. elimiate the common terms which is 'n' which gives;

5m = -5

m = -1

plug in to find 'y' AKA 'n'

3(-1) - n = 2

-3 - n = 2

-n = 5

n = -5

I can futher explain if you'd like, let me know.

Answer:

\(-\frac{2}{3}\)

Step-by-step explanation:

-1/5 + (-3/5)

Least common multiple of 15 and 5 is 15. Convert \(-\frac{1}{15}\) and \(\frac{3}{5}\) to fraction with a denominator of 15.

\(-\frac{1}{15}\) \(-\frac{9}{15}\)

Since \(-\frac{1}{15}\)  and \(\frac{9}{15}\) have the same denominator, subtract them by subtracting the numerators.

\(\frac{-1-9}{15}\)

Subtract 9 from -1 to get -10

\(\frac{-10}{15}\)

Reduce the fraction \(\frac{-10}{15}\) to lowest terms

\(-\frac{2}{3}\)

have a nice day!

H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

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Step-by-step explanation:

Solution

verified

Verified by Toppr

Correct option is A)

In an isosceles right angled triangle, the two sides on the right angle are equal.

Let the equal sides be a.

Hence, hypotenuse of the isosceles right angled triangle =

a

2

+a

2

=

2

a

Given, perimeter of the triangle =(6+3

2

)m

⇒a+a+

2

a=(6+3

2

)m

⇒a(2+

2

)=3(2+

2

)m

⇒a=3m

In the isosceles right triangle, the base and height =a

Hence, area of the triangle =

2

1

×base×height =

2

1

×3×3=4.5m

2

Answer:

t = 1.23 hours

Step-by-step explanation:

Given that,

Distance between two stations is 204 miles

One train travels at 90 miles per hour while the other travels at 75 (let) miles per hour.

We need to find how long will it take for the two trains to meet.

As both cars travel toward each other, it means they approach with a speed of 90 mph + 75 mph = 165 mph.

Let t is the time when they meet. So,

\(t=\dfrac{d}{v}\\\\t=\dfrac{204}{165}\\\\t=1.23\ h\)

It will take 1 hour 23 minutes for the trains to meet.

the aircraft would have tracked a distance of 3000 miles in 6 hours, assuming a constant speed of 500 miles per hour.

To find the distance tracked by the aircraft in 6 hours, we can substitute t = 6 into the expression 500t:

Distance tracked in 6 hours = 500 * 6

= 3000 miles

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Answer:

3y-30

Step-by-step explanation:

Answer:14

Step-by-step explanation:

The two angles are complementary hence,

(7x-4)+(9x-40)=180

7x+9x-4-40=180

16x-44=180

16x=180+44

=224

X=224/16

=14

Hope this helps

from what i did it equal 8 i hope i helped good luck

Answer:

answer is 8

Step-by-step explanation:

take Lcm of 8 and 32

Answer:

8

Step-by-step explanation:

Arlyn is not correct because after adding service fee and groceries cost total will be $119.79 but in question its mentioned to be $119.90.

The equation which varies linearly with each other variables.

highest degree of the linear equation must be  1.

Total amount customer have to pay after groceries being delivered = y

Only groceries amount = x

Arlyn has groceries delivered for a total cost = $119.90

Grocery cost = $108.90

According to condition,

y = 1.1x ,

$119.90 ≠ 1.1 × $108.90

Hence both of the terms are not equal

so, Aryln is not correct.

If the total cost is $119.79 so aryln is correct in that case.

To validate the equation y = 1.1x , Aryln must have to pay $119.79.

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Main Answer:The volume is \(\pi\)/6.

Supporting Question and Answer:

How can we determine the volume using the slicing method when the slices are semicircles perpendicular to the x-axis?

To determine the volume using the slicing method with semicircular slices perpendicular to the x-axis, we need to integrate the areas of the infinitesimally thin slices over the range of x-values. The radius of each semicircle depends on the x-coordinate, and we can use the formula for the area of a semicircle to calculate the area of each slice. By integrating the areas over the given range, we can obtain the total volume of the solid.

Body of the Solution:To find the volume using the slicing method, we need to integrate the areas of the infinitesimally thin slices perpendicular to the x-axis.

In this case, the slices perpendicular to the x-axis are semicircles. The radius of each semicircle depends on the x-coordinate.

Let's denote the variable of integration as x and consider a slice at a specific value of x. The corresponding semicircle's radius is given by r = 1 - x (since the triangle's height is 1 and decreases linearly with x).

The area of a semicircle is given by A = (1/2) * \(\pi\) * r^2.

Integrating the area over the range of x from 0 to 1, we get:

V = ∫[0,1] A dx = ∫[0,1] (1/2) * \(\pi\) * (1 - x)^2 dx

Simplifying and evaluating the integral, we get:

V = (\(\pi\)/2) * ∫[0,1] (1 - 2x + x^2) dx = (\(\pi\)/2) * [x - x^2/2 + x^3/3] |[0,1] = (\(\pi\)/2) * [1 - 1/2 + 1/3] = (\(\pi\)/2) * [2/6] = \(\pi\)/6

Final Answer:Therefore, the volume of the solid bounded by the triangle and the semicircles is π/6, rounded to two decimal places.

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The volume off the given triangle is π/6.

How can we determine the volume using the slicing method when the slices are semicircles perpendicular to the x-axis?

To determine the volume using the slicing method with semicircular slices perpendicular to the x-axis, we need to integrate the areas of the infinitesimally thin slices over the range of x-values. The radius of each semicircle depends on the x-coordinate, and we can use the formula for the area of a semicircle to calculate the area of each slice. By integrating the areas over the given range, we can obtain the total volume of the solid.

To find the volume using the slicing method, we need to integrate the areas of the infinitesimally thin slices perpendicular to the x-axis.

In this case, the slices perpendicular to the x-axis are semicircles. The radius of each semicircle depends on the x-coordinate.

Let's denote the variable of integration as x and consider a slice at a specific value of x. The corresponding semicircle's radius is given by r = 1 - x (since the triangle's height is 1 and decreases linearly with x).

The area of a semicircle is given by A = (1/2) *  * r^2.

Integrating the area over the range of x from 0 to 1, we get:

V = ∫[0,1] A dx = ∫[0,1] (1/2) *  * (1 - x)^2 dx

Simplifying and evaluating the integral, we get:

V = (/2) * ∫[0,1] (1 - 2x + x^2) dx = (/2) * [x - x^2/2 + x^3/3] |[0,1] = (/2) * [1 - 1/2 + 1/3] = (/2) * [2/6] = /6

Final Answer:Therefore, the volume of the solid bounded by the triangle and the semicircles is π/6, rounded to two decimal places.

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The option B is correct. APR is important tool because It allows consumers to compare the full cost of loans from different lenders.

According to the statement

we have to explain all about the APR and tel that why it is important for the consumers.

So, For this purpose,

We know that the

The term annual percentage rate of charge, corresponding sometimes to a nominal APR and sometimes to an effective APR.

It is the interest rate for a whole year, applied on the loan etc. It is a finance charge expressed as an annual rate

APR is the important tool for the consumers because of some reasons which are written below:

APR is important because it can give you a good idea of how much you'll pay to take out a loan.

APR helps a customer determine the true cost of the loan, allowing them to compare many loans and choose the most advantageous one.

So, The option B is correct. APR is important tool because It allows consumers to compare the full cost of loans from different lenders.

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Answer:

27

Step-by-step explanation:

129-(-1) = 130

130/5 = 26

26+1 = 27

Answer:

n = 27

Step-by-step explanation:

This is Arithmetic sequence

a = -1

Common difference = 4 - (-1) = 4 +1 = 5

an = a + (n-1)d

129 = -1 + (n-1)*5

129 + 1 = (n-1)*5

130 = (n-1)*5

130/5 = n - 1

26 = n - 1

n = 26 + 1

n =27

To result in no main effect for factor B, the missing mean should be 30.

In a two-factor experiment, a main effect refers to the overall effect of one factor on the dependent variable, disregarding the other factor. In this case, factor B has two levels (B1 and B2), and the given data provide the means for each level of factor B. To have no main effect for factor B, the means for B1 and B2 should be equal.

From the given data:

B1: 20

B2: 10

To have no main effect, the means should be equal, which means the missing mean should be the average of the given means:

(20 + 10) / 2 = 30

Therefore, if the missing mean is 30, there would be no main effect for factor B in this two-factor experiment.

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