How far from the tower can it be placed, to the nearest foot?

70% of the trip length, t, is 35 miles. Find t:

0.70t = 35. Dividing both sides by 0.70, we get:

35

t = ----------- = 50

0.70

The total trip length is 50 miles.

Answer:

I completely forgot how to do this I'm sorry

Step-by-step explanation:

Answer:

1.is 11

2. is-44

Step-by-step explanation:

1) 2+6-7+10

= 11

2) -49+15-10

= -44

Answer:

y = 36x

Step-by-step explanation:

y varies directly with x ,

that is y [tex]\propto[/tex] x

Let k be constant

=> y = kx

=> 108 = k(3)

=> k = 108/3

=> k = 36

y can be expressed in terms of x as kx or simply 36x . As we found value of constant as 36.

The most appropriate procedure for the given example is the Chi-square test of independence.

Chi-square test of independence: This statistical test is used to determine if there is a significant association between two categorical variables. In this case, the researcher wants to investigate the relationship between gender (male or female) and career choice (predominantly male, predominantly female, or neutral). The test will help determine if there is a dependency between gender and career choice.

a. Formulate hypotheses: The null hypothesis (H0) states that there is no association between gender and career choice, while the alternative hypothesis (Ha) states that there is an association.

b. Set the significance level (alpha): Typically, it is set to 0.05 or 0.01, depending on the desired level of confidence.

c. Create a contingency table: Construct a table that shows the observed frequencies of career choices for each gender.

d. Calculate expected frequencies: Compute the expected frequencies under the assumption of independence between gender and career choice.

e. Calculate the chi-square statistic: Determine the chi-square statistic based on the observed and expected frequencies.

f. Determine the critical value: Look up the critical value from the chi-square distribution table using the degrees of freedom and chosen alpha level.

g. Compare the chi-square statistic and critical value: If the chi-square statistic is greater than the critical value, reject the null hypothesis and conclude that there is a significant association between gender and career choice. If it is not, fail to reject the null hypothesis.

h. Interpret the results: Based on the conclusion, provide an interpretation of the findings, indicating whether there is evidence of a relationship between gender and career choice.

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Answer:

200 miles

Step-by-step explanation:

Given data

cost of car rental per day= $40

cost per mile= $0.22

We are told that the budget is $84

The expression for the total cost is given as

y= 40+0.22x

where x = the distance travelled

now for y=$84, by substituting we can get x

84=40+0.22x

84-40=0.22x

44=0.22x

divide both sides by 0.22

x= 44/0.22

x=200

Hence the distance that $84 will go is 200 miles

However, we know that the correct option is c, because the observation is one standard deviation greater than the mean.

The Z score for the observation of 500 has the meaning that the observation is one standard deviation greater than the mean. Therefore, the correct option is c. The Z score is a measure of how far a data point is from the mean, in terms of the number of standard deviations.

It's calculated by subtracting the mean from the observation, then dividing by the standard deviation. So, if the Z score is positive, it means the observation is above the mean, while a negative Z score means the observation is below the mean.

In this case, we are told that the observation has a Z score of 1. This means that the observation is 1 standard deviation above the mean. Since the mean is not given, we cannot say whether option a or option d is correct.

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The Z score for the observation of 500 has meaning that the observation is by one standard deviation greater than the mean.

To find the Z-score.

A Z-score, also known as a standard score, is the number of standard deviations from the mean that a data point.

The formula for calculating the Z-score is: Z = (X - μ) / σ, where X is the raw score being transformed, μ is the mean of the population, σ is the standard deviation of the population.

Given that Z-score is the number of standard deviations from the mean that a data point is, the Z score for the observation of 500 has meaning that the observation is by one standard deviation greater than the mean.

Therefore, option (c) is the correct answer: The observation is by one standard deviation greater than the mean.

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Hello!

As we can see, our a value, which would be the coefficient of [tex]x[/tex], which determines our slope, is negative, meaning that this whole line is negative.

Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.

If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.

Answer:

11 and 26

Step-by-step explanation:

x+x-15=37

x+x-15+15=37+15

x+x=52

2x=52

2x÷2=52÷2

x=26

26+26-15=37

37=37

Answer:

the distance is 3 units

Step-by-step explanation:

Answer:

3 units

Step-by-step explanation:

Answer:

it would be 170°

Step-by-step explanation:

( 17 πover 18 )  ⋅  180 °  over π

17over18 ⋅  180

then you cancel the common factors

17 ⋅  10 mulitply those two and end up with

170°

The approximate value of i using linear interpolation is i ≈ 0.010526.

To approximate the value of i using linear interpolation, we need two data points on either side of the desired value of i. In the given equation, we have the following data points:

When i = 0, the price of the bond is 547.50.

When i = 0.01, the price of the bond is 23.751 - 1(0.01) - 20(0.01) + 500 / (1 + 0.01 - 20) = 442.24.

Since the desired value of i lies between 0 and 0.01, we can use linear interpolation to approximate it.

Linear interpolation assumes a linear relationship between two data points and estimates the value based on the proportionate distance between those points.

Let's denote the desired value of i as  [tex]i_d[/tex]. We can set up the following equation to find [tex]i_d[/tex]:

[tex](i_d - 0) / (0.01 - 0) = (547.50 - 442.24) / (0.01 - 0)[/tex]

Simplifying the equation:

[tex](i_d - 0) / 0.01 = (547.50 - 442.24) / 0.01i_d / 0.01 = 105.26 / 0.01i_d = 105.26[/tex]

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The null hypothesis in this study is that there is no difference in mean keystrokes between the populations of students who drink and text and those who do not.

The null hypothesis in this study states that there is no difference in mean keystrokes between the populations of students who drink and text and those who do not. It assumes that the mean keystrokes for both groups are equal.

The sample means keystrokes for drinking texters is stated as 142, while for non-drinking texters, it is 120.

The sample variances for drinking and non-drinking texters are not provided in the question. Without the sample variances, it is not possible to calculate the standard error of the difference between means.

The calculated t-value and critical t-value are not given in the question. The comparison between the calculated t-value and critical t-value is necessary to determine the appropriate action.

Based on the comparison of the calculated t-value and critical t-value, the appropriate action to take is not specified in the question. It is usually done by comparing the calculated t-value with the critical t-value at a specific significance level. If the calculated t-value exceeds the critical t-value, the null hypothesis is rejected, suggesting a significant difference in mean keystrokes between the populations. If the calculated t-value is less than the critical t-value, the null hypothesis is retained, indicating no significant difference in mean keystrokes between the populations.

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The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.

We have,

To determine the number of valid solutions for the equation

(10x + 25) / (3x + 12) = 5x / (x + 4), we need to solve the equation and check if there are any values of x that satisfy the equation while not causing any division by zero.

Let's solve the equation step by step:

(10x + 25) / (3x + 12) = 5x / (x + 4)

Cross-multiply to eliminate the fractions:

(10x + 25)(x + 4) = (3x + 12)(5x)

Expand both sides:

10x² + 40x + 25x + 100 = 15x² + 60x

Combine like terms:

10x² + 65x + 100 = 15x² + 60x

Subtract 10x² + 60x from both sides:

5x² + 5x + 100 = 0

Now we have a quadratic equation.

To solve it, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

For the equation 5x² + 5x + 100 = 0, a = 5, b = 5, and c = 100.

Calculating the discriminant (b² - 4ac):

Discriminant = (5²) - (4 x 5 x 100)

Discriminant = 25 - 2000

Discriminant = -1975

Since the discriminant is negative (-1975), the quadratic equation has no real solutions.

Therefore,

The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.

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Answer:

gg

Step-by-step explanation:

gfg

Answer: G

Step-by-step explanation:

Answer:

Step-by-step explanation:

Edg 2021

I hope this helped

Step-by-step explanation:

First: 37.05 miles / 6.5 hours = 5.7

Next: 5.7 miles per hour

Third: 31.5 hours  times 5.7 miles= 179.55 miles

Lastly: 179.55 miles for 31.5 hours

The equation of a parabola with vertex (h, k) and focus (h, k + p) is given by the equation (x - h)^2 = 4p(y - k). In this case, the vertex is (-2, 5) and the focus is (-2, 6). Since the x-coordinate of both the vertex and focus is the same, we can conclude that the parabola opens either upward or downward. The equation of the parabola is then (x + 2)^2 = 4p(y - 5).

The given equation x^2 + y^2 - 4x + 10y = 7 can be rewritten as (x^2 - 4x) + (y^2 + 10y) = 7. To complete the square, we need to add and subtract terms to both sides of the equation to create perfect square trinomials. By adding (4/2)^2 = 4 to the x terms and (10/2)^2 = 25 to the y terms, we have (x^2 - 4x + 4) + (y^2 + 10y + 25) = 7 + 4 + 25, which simplifies to (x - 2)^2 + (y + 5)^2 = 36. Comparing this equation to the standard form of a circle (x - h)^2 + (y - k)^2 = r^2, we can identify the center of the circle as (2, -5) and the radius as the square root of 36, which is 6. Therefore, the center and radius of the circle are (2, -5) and 6, respectively.

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The given equation represents the governing equation for a vibrating string subject to viscous damping. The equation involves the partial derivatives of the displacement function u(x, t) with respect to both time t and position x. The left-hand side of the equation captures the effects of inertia and elasticity of the string, while the right-hand side represents the damping term.

The term du(x, t)/dt^2 describes the acceleration of the string at a specific point (x, t) and is proportional to the second derivative of u with respect to time. The term d^2u(x, t)/dx^2 represents the curvature or bending of the string at that point and is proportion to the second derivative of u with respect to position.

The constant h represents the damping coefficient, which determines the level of damping present in the system. Higher values of h indicate stronger damping effects, while lower values imply less damping.

The equation states that the sum of the damping term and the terms related to inertia and elasticity is equal to 7 times the partial derivative of u with respect to time.

By solving this governing equation, one can determine the behavior of the vibrating string over time and space, taking into account the effects of viscous damping.

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Answer:

it is 2, 4 and 6

Step-by-step explanation:

Answer:

9, 10, 11, 12, 13, 14, 15

Step-by-step explanation:

0 + 9 = 9

1 + 9 = 10

2 + 9 = 11

3 + 9 = 12

4 + 9 = 13

5 + 9 = 14

6 + 9 = 15

The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

x + 9

First sequence, Put x = 0

0 + 9 = 9

Second sequence, put x = 1

1 + 9 = 10

Second sequence, put x = 2

2 + 9 = 11

Second sequence, put x = 3

3 + 9 = 12

Second sequence, put x = 4

4 + 9 = 13

Second sequence, put x = 5

5 + 9 = 14

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z=90degrees

Y=135degrees

Answer:

see below

Step-by-step explanation:

-2.6

-2.2

-2.193

-2.01

Since they are negatives, the higher number it is, the smaller it actually is.  The smaller the number is, that number will be closer to 0 and will actually be higher than the rest.

Hope this helps! :)

Answer:

D) -cos(x)

Step-by-step explanation:

Two things that a rigid motion preserves are: length and angle.

The two things that a rigid motion preserves are:

1. Length: A rigid motion preserves the length of objects. This means that the distances between points or the lengths of line segments remain the same after the rigid motion is applied.

For example, if you have a line segment AB of length 5 units, a rigid motion such as translation, rotation, or reflection will not change the length of AB.

2. Angle: A rigid motion preserves angles between lines or line segments. This means that the measure of an angle remains the same after a rigid motion is applied.

For example, if you have an angle ABC with a measure of 60 degrees, a rigid motion will not change the measure of angle ABC.

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Answer:

Step-by-step explanation:

it is about math then b=base

and h =height

Answer: w = 2/3p-1

Step-by-step explanation: You must subtract w from both sides and then factor the equation