Three times a week tina walks 3/10 mile from school to library studies for 1 hour and then walks home 4/10 mile home. How much more will she need to walk to win a prize

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer:

30°, 70°, 80°

Step-by-step explanation:

Let the measures of the angles be 3x, 7x and 8x.

Since, sum of the measures of all the three angles of a triangle is 180°.

Therefore,.

3x + 7x + 8x = 180°

18x = 180°

x = 180°/18

x = 10°

3x = 3*10° = 30°

7x = 7*10° = 70°

8x = 8*10° = 80°

Thus, the measures of the angles are 30°, 70°, 80°.

Answer:

5.0

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

5*14=70 4*14=56 70+56=126 70-56=14

Answer:

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Answer:

I think 11037 is a clue to tell what the murder is

Step-by-step explanation:

The boxes of dog biscuits more that should be ordered so that there would be more dog biscuits is 2.

The first step is to determine the total number of dog biscuits and cat treats. In order to determine these values, multiply the number of boxes by the number of treats or biscuits in each box.

Total number of dog biscuits = total number of boxes x number of biscuits in each box

27 x 18 = 486

Total number of cat treats =  total number of boxes x number of cat treat in each box

21 x 24 =504

Difference in the number of cat treats and dog biscuits = 504 - 486 = 18

For, there to be more dog biscuits than cat treats, the store should buy 2 boxes.

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Answer:

-2 * 3 = -6

-2 * h = -2 h

C) is equivalent to this result

the slope will be positive cuz the line goes / as it goes right.

rise/run = slope

slope = 6/4 = 3/2

y = 3/2 + b

b is the y intercept

y = 3/2x - 3.5

hope this helps

(-50)/(-2)

= 25

when numbers with same signs are divided it gives positive sign........

Using a significance level of 0.10, we will test whether the mean tuition and fees for private institutions in California is greater than $35,000 based on the given sample data.

To test the hypothesis, we will use a one-sample t-test. The null hypothesis (H0) states that the mean tuition and fees for private institutions in California is not greater than $35,000, while the alternative hypothesis (Ha) states that the mean is greater than $35,000.

Given the sample mean of $31,500 and standard deviation of $7,250, we can calculate the test statistic (t-value) using the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Substituting the values, we find:

t = (31,500 - 35,000) / (7,250 / sqrt(15))

With the calculated t-value, we can compare it to the critical value from the t-distribution table at a significance level of 0.10, considering the degrees of freedom (sample size - 1).

If the calculated t-value is greater than the critical value, we reject the null hypothesis and conclude that the mean tuition and fees for private institutions in California is greater than $35,000. Otherwise, we fail to reject the null hypothesis.

Please note that the critical value and the calculated t-value should be compared to make the final decision.

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Complete question:

The mean annual tuition and fees in the 2013 - 2014 academic year for a sample of 15 private colleges in California was $31,500 with a standard deviation of $7,250. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $35,000? Use the a = 0.10 level of significance.

Answer:

answer is 13/3

Step-by-step explanation:

1/12 x 4=1/3

1/3=m-4

m=1/3+4

m=1/3+12/3

m is 13/3

Answer:

Yeah it is 4.

Step-by-step explanation:

To find the point on the surface 6x = y^2 + z^2 where its tangent plane is parallel to a given plane, we need to find a point on the surface and determine the normal vector of the surface at that point.

Then, we can compare the normal vector of the surface to the normal vector of the given plane to check if they are parallel.

Let's first find a point on the surface by substituting a value for either y or z and solving for x. Let's choose y = 0:

6x = 0^2 + z^2

6x = z^2

x = z^2/6

So, one point on the surface is (z^2/6, 0, z).

To find the normal vector of the surface at this point, we can calculate the partial derivatives with respect to x, y, and z:

∂/∂x (6x) = 6

∂/∂y (y^2 + z^2) = 0

∂/∂z (y^2 + z^2) = 2z

The normal vector is then N = (6, 0, 2z) = (6, 0, 2z) / ||(6, 0, 2z)||, where ||N|| represents the magnitude of N.

To determine if the tangent plane is parallel to a given plane, we compare the normal vector of the surface to the normal vector of the given plane. If they are parallel, their direction vectors should be proportional.

If the given plane is parallel to the xy-plane and has a normal vector N_1 = (0, 0, 1), we can compare it to the normal vector of the surface. In this case, we see that the z-component of N (2z) is not proportional to the z-component of N_1 (1). Therefore, the tangent plane of the surface at the chosen point is not parallel to the given plane.

To find a point on the surface where its tangent plane is parallel to the given plane, we would need to choose a different point on the surface such that the normal vector of the surface at that point is parallel to the given plane's normal vector.

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Answer:

rate of Tyler = 8.4 Km/hour

rate of Kiran = 6.3 Km/hour

rate of Mai = 8.5 Km/hour

Step-by-step explanation:

Rate is the speed with which each ran

speed = total distance covered/total time taken to cover that distance

we will use unit  km/hour for speed calculation

_____________________________________________________________

For Tyler

distance = 4200 m

1000 m = 1 km

4200 m = 1/1000 *4200 km = 4.2 KM

time = 30 minutes

60 mins = 1 hour

30 minutes = 1/60 *30 hour = 0.5 hours

thus,

speed/rate of Tyler = 4.2 KM/0.5 hours = 8.4 Km /hour

_____________________________________________________

For Kiran

distance = 6300 m

1000 m = 1 km

6300 m = 1/1000 *6300 km = 6.3 Km

time = 1 hour

thus,

speed/rate of Kiran = 6.3KM/1 hours = 6.3Km /hour

_____________________________________________________

For Mai

distance = 6.3 Km

time = 45 minutes

60 mins = 1 hour

45 minutes = 1/60 *45 hour = 0.75 hours

thus,

speed/rate of Mai = 6.3KM/0.75 hours = 8.5 Km /hour

Answer:

Lines 2 and 4 are perpendicular

Step-by-step explanation:

Line 2: 4y=3x-4

y=3/4x - 1

Line 4: 4x+3y=-6

3y=-6-4x

y=-2 - 4/3x

The two lines are perpendicular since -4/3= - (inverse of 3/4)

Two lines 2 and 4 are perpendicular to each other. The correct option is C.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For two lines to be perpendicular the slope should be negative reciprocal. For two lines to be parallel the slope of the lines should be equal.

The equation of lines 2 and 4 is,

y = (3/4)x -1

y =(-4/3)x - 2

Here the slope of the two lines is reciprocal as well as negative.

Therefore, two lines 2 and 4 are perpendicular to each other. The correct option is C.

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Given:

The figure of a right angle triangle with hypotenuse=19, leg=x and opposite angle is 40°.

To find:

The trigonometric function that is used to solve for x.

Solution:

In a right angle triangle,

\(\sin \theta=\dfrac{Perpendicular}{Hypotenuse}\)

In can be written as:

\(\sin \theta=\dfrac{Opposite}{Hypotenuse}\)

Using this ratio for the given triangle, we get

\(\sin 40^\circ =\dfrac{x}{19}\)

Therefore, the correct option is C.

Based on the information provided, the only possible number that satisfies all the conditions is 20.

What is GCF?

GCF stands for "Greatest Common Factor". It is also sometimes referred to as the "Greatest Common Divisor" (GCD). The GCF of two or more numbers is the largest positive integer that divides evenly into each of the numbers. In other words, it is the largest factor that the numbers have in common.

The GCF (Greatest Common Factor) of 18, 36, and a number N is 2. Since 18 and 36 are both even numbers with a common factor of 2, any number that satisfies this condition must also be even and have a factor of 2.

The number N is a multiple of 5. Since the number is even and has a factor of 2, the only even multiple of 5 between 18 and 30 is 20.

Finally, we are given that N is greater than 18 and less than 30. The only number that satisfies all the given conditions is therefore 20.

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The height of the tree is 16 feet if it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.

The shadows at the same time of the day can be compared for the garden wall and a tree as follows;

tree shadow / tree height = wall shadow / wall height

As the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;

24 / x = 6 / 4

Here x represents the height of the tree

Solving for x;

24 / x = 1.5

24 = 1.5 x

x = 24 / 1.5

x = 16

Therefore the height of the tree is calculated to be 16 feet.

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The height of the tree is 16 feet when it casts a 24 feet shadow at the same time of the day when 4 feet wall casts a 6-foot shadow.

An equation is an expression that shows the relationship between two or more numbers and variables.

The shadows at the same time of the day can be compared for the garden wall and a tree is given by;

tree shadow / tree height = wall shadow / wall height

Since we know that the height of the wall is given to be 4 feet and it has a 6-foot shadow, and the tree casts a 24-foot shadow, substituting these values in the equation;

24 / x = 6 / 4

Here x represents the height of the tree

Solving for x,

24 / x = 1.5

24 = 1.5 x

x = 24 / 1.5

x = 16

Therefore, the height of the tree is calculated to be 16 feet.

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Answer:16

Step-by-step explanation:

If you are reflecting a coordinate across the x-axis, the y coordinate will flip. For example, if you reflect 4,9 across the x-axis you will get 4,-9, and if you reflect 2,-7 across the x-axis you will get 2,7. So whatever your answer is, you basically just have to add or remove the negative symbol on the y coordinate.

Answer:

1.9

Step-by-step explanation:

r=C/2π

r-12.1/2π=1.9257...

Answer:

1.9 mm

Step-by-step explanation:

Circumference of circle = 2πr

             2πr = 12.1 mm

     \(\sf 2* \dfrac{22}{7}*r= 12.1\\\\\)

                  \(\sf r = \dfrac{12.1*7}{2*22}\\\\\)

                     = 1.925

                 \(\sf \boxed{radius =1.9 \ mm }\)

Answer:

1.) D

2.) F

3.) C

4.) H

Step-by-step explanation:

i am positive on 4, but not totally sure on 1, 2, and 3

By identifying the y and x-intercepts of the linear equation, we conclude that the correct graph is the third one

We know that the relation between altitude and time is given by the linear equation:

1,500x + y = 35,000

If we isolate y, we get:

y  = -1,500x + 35,000

Notice that when x = 0, we have:

y = -1,500*0 + 35,000

y = 35,000

So the y-intercept is 35,000

And the plane reaches the ground when:

0 = -1,500*x + 35,000

1,500*x = 35,000

x = 35,000/1,500 = 23.3

So it intercepts the x-axis at x  = 23.3

With that in mind, we can see that the correct graph is the third one.

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Answer:

The symbol used to indicate the principle root of a number is called a radical

The number used to indicate the exponent associated with the root is called the radical index

If the answer to the cube root of eight is two then eight is considered the radicand

hope this helps! <3

A diagrammatic illustration of two distinct lines l and m perpendicular to the same line n is shown below

As seen above, l and m are opposite each other, and will never intersect. Therefore, the lines l and m are parallel to each other.

Answer:

Assuming the number is 1/(y^(-1/4)):  y^(1/4)

Step-by-step explanation:

1/(y^(-1/4))

Bring the y^(-1/4) by subtracting it's exponent:

1*y^-(-1/4)

y^(1/4)

To find a fourth-degree polynomial function with the given zeros, we can use the zero-product property.

Since the zeros are 1, -1, i, and -i, we know that the factors of the polynomial will be (x - 1), (x + 1), (x - i), and (x + i).

The factored form of the fourth-degree polynomial function is:

f(x) = (x - 1)(x + 1)(x - i)(x + i)

To simplify this expression, we can multiply the factors using the difference of squares property:

f(x) = (x^2 - 1)(x^2 + 1)

Expanding further:

f(x) = (x^2 - 1)(x^2 + 1)

= x^4 + x^2 - x^2 - 1

= x^4 - 1

Therefore, the fourth-degree polynomial function in factored form, with zeros 1, -1, i, and -i, is:

f(x) = (x - 1)(x + 1)(x - i)(x + i)

= (x^2 - 1)(x^2 + 1)

= x^4 - 1

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To find a fourth-degree polynomial function with the given zeros, we can use the zero-product property.

Since the zeros are 1, -1, i, and -i, we know that the factors of the polynomial will be (x - 1), (x + 1), (x - i), and (x + i).

The factored form of the fourth-degree polynomial function is:

f(x) = (x - 1)(x + 1)(x - i)(x + i)

To simplify this expression, we can multiply the factors using the difference of squares property:

f(x) = (x^2 - 1)(x^2 + 1)

Expanding further:

f(x) = (x^2 - 1)(x^2 + 1)

= x^4 + x^2 - x^2 - 1

= x^4 - 1

Therefore, the fourth-degree polynomial function in factored form, with zeros 1, -1, i, and -i, is:

f(x) = (x - 1)(x + 1)(x - i)(x + i)

= (x^2 - 1)(x^2 + 1)

= x^4 - 1

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Answer:

59°F = 15°C

Step-by-step explanation:

(59°F - 32) x 5/9 = 15°C

I am not sure if this helps, but the equation to convert Fahrenheit to Celsius is C°= 5/9(F°-32)

Answer:

1. 19

2. 104

Step-by-step explanation:

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