The decimal representation of ___________ number neither terminates nor repeats.

Answer:its 6 feet

Step-by-step explanation:

The equation is s = 27 + l, and Lea ran 19 miles

The statement is given as:

Represent the miles they ran with the first letters of their names.

So, we have

s = 27 + l

s = 46

How many miles did Lea run?

Substitute s = 46 in s = 27 + l

46 = 27 + l

Subtract 27 from both sides

l = 19

Hence, the equation is s = 27 + l and Lea ran 19 miles

Read more about mathematical operations at:

https://brainly.com/question/4721701

#SPJ1

Answer:

length = 23 inches , width = 4 inches

Step-by-step explanation:

let width be w then length l = 2w + 15

the perimeter P is calculated as

P = 2l + 2w

given P = 54 , then

2(2w + 15) + 2w = 54

4w + 30 + 2w = 54

6w + 30 = 54 ( subtract 30 from both sides )

6w = 24 ( divide both sides by 6 )

w = 4

l = 2w + 15 = 2(4) + 15 = 8 + 15 = 23

the length is 23 inches and width is 4 inches

Answer:

5km

Step-by-step explanation:

The formula for hypotenuse is

a squared + b squared = c squared,

4 squared is 16, and 3 squared is 9.

16+9 = c squared

25 = c squared

However, you don't want it to be squared, so you have to find the square root of 25, which is 5.

Answer: -2x + 12/5

Step-by-step explanation:

The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.

The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.

ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.

From the above theory, the test specified above is termed as the t-test.

To learn more about t-tests click the following link:-

https://brainly.com/question/6589776

#SPJ4

H₀: The mean reported number of good friends is the same across marital statuses. H₁: There is a difference in the mean reported number of good friends among marital statuses.

In the context of the ANOVA table reporting F = 0.80 for comparing the reported number of good friends among different marital statuses (married, widowed, divorced, separated, never married), the null and alternative hypotheses can be specified as follows:

Null Hypothesis (H₀): There is no significant difference in the mean reported number of good friends across the different marital statuses.

Alternative Hypothesis (H₁): There is a significant difference in the mean reported number of good friends across the different marital statuses.

The null hypothesis assumes that any observed differences in the mean reported number of good friends among the marital statuses are due to chance or random variation. On the other hand, the alternative hypothesis suggests that there is a meaningful difference in the mean reported number of good friends among the different marital statuses. The ANOVA F-test is used to evaluate whether the observed variation between groups is statistically significant

Learn more about hypothesis

brainly.com/question/31319397

#SPJ11

Answer:

To the nearest tenth, the length is 6.4 meters, and the width is 3.4 meters.

Step-by-step explanation:

Let w be the width of the rectangle. Then l = w + 3, and we have:

\( w(w + 3) = 22\)

\( {w}^{2} + 3w = 22\)

\( {w}^{2} + 3w - 22 = 0\)

Calculating the discriminant:

\( \sqrt{ {3}^{2} - 4(1)( - 22)} = \sqrt{9 + 88} = \sqrt{97} \)

So by the quadratic formula, and discarding the negative solution, we then obtain:

\(w = \frac{ - 3 + \sqrt{97} }{2} = 3.4\)

\(l = w + 3 = 3.4 + 3 = 6.4\)

The return type of the function is an integer (int), which corresponds to the decimal value of the binary string.

here is a possible implementation of the bin2dec function:

```
#include
using namespace std;

int bin2dec(const string& binarystring) {
   int decimal = 0;
   int power = 1;
   for (int i = binarystring.length() - 1; i >= 0; i--) {
       if (binarystring[i] == '1') {
           decimal += power;
       }
       power *= 2;
   }
   return decimal;
}
```

This function takes a binary string as input and returns the corresponding decimal number as output. It uses a loop to iterate through the characters of the string from right to left, starting with the least significant bit. For each bit that is a '1', it adds the corresponding power of 2 to the decimal value. Finally, it returns the decimal value.

Note that the function header specifies that the input binary string should be passed as a const reference to a string object, which means that the string cannot be modified inside the function. The return type of the function is an integer (int), which corresponds to the decimal value of the binary string.

to learn more about integers click here:

https://brainly.com/question/929808

#SPJ11

Answer:

(0, 15)

Step-by-step explanation:

y -intercept is obtained at x = 0

Coordinates of y- intercept: (0, 15)

Answer:

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

perimeter = 2(length + width)

In this case, the length is 14.3 yards and the width is 12 yards. Substituting these values into the formula, we get:

perimeter = 2(14.3 + 12)

perimeter = 2(26.3)

perimeter = 52.6 yards

Therefore, the perimeter of the rectangle is 52.6 yards.

The area of a rectangle is given by the formula:

area = length x width

Substituting the length and width values, we get:

area = 14.3 x 12

area = 171.6 square yards

Therefore, the area of the rectangle is 171.6 square yards.

The number of coordinates needed to specify the position and orientation of a rigid body in an n-dimensional space is n.

A rigid body is an object that maintains its shape and size while in motion. In order to specify the position and orientation of a rigid body in an n-dimensional space, we need to know its coordinates in each of the n dimensions. The coordinates describe the location of the body in the space and the orientation of the body relative to the space's coordinate system. Thus, n coordinates are required to fully specify the position and orientation of a rigid body in an n-dimensional space.

However, it is important to note that if the rigid body is placed in a space that's non-Euclidean, other parameters could be necessary to fully describe the rigid body position and orientation.

To know more on rigid body

https://brainly.com/question/30192855

#SPJ4

Since the rectangular prism and pyramid have congruent bases and height, they are similar. Therefore, the ratio of their volumes is equal to the cube of the ratio of their corresponding side lengths.

Let's call the side length of the base of the pyramid "x". Then, the volume of the pyramid is:

V(pyramid) = (1/3) x^2 * h

where h is the height of the pyramid. We know that V(pyramid) = 48 in.3, so:

48 = (1/3) x^2 * h

Since the rectangular prism has the same base as the pyramid, its base also has side length "x". The height of the prism is also equal to the height of the pyramid. Therefore, the volume of the rectangular prism is:

V(prism) = x^2 * h

To find V(prism), we need to know the value of h. We can use the equation above to solve for h:

48 = (1/3) x^2 * h
144 = x^2 * h
h = 144/x^2

Now we can substitute this value of h into the equation for V(prism):

V(prism) = x^2 * (144/x^2)
V(prism) = 144 in.3

Therefore, the volume of the rectangular prism is 144 in.3.

Learn more about volume here: brainly.com/question/15861918

#SPJ11

The margin of error for a 95% confidence interval in the first sample is approximately 0.595 cups. The margin of error (ME) for a confidence interval is calculated using the formula:

ME = z * (standard deviation / √n)

where z is the z-score corresponding to the desired confidence level, standard deviation is the population standard deviation, and n is the sample size.

In the first sample, we have a sample size of 68, a mean of 2.37 cups, and a known standard deviation of 2.4 cups. For a 95% confidence level, the corresponding z-score is approximately 1.96.

ME = 1.96 * (2.4 / √68)

  ≈ 1.96 * (2.4 / 8.246)

  ≈ 1.96 * 0.291

  ≈ 0.595

Therefore, the margin of error for a 95% confidence interval in the first sample is approximately 0.595 cups.

(b) Similarly, in the second sample, we have a sample size of 16, a mean of 4.7 cups, and a standard deviation of 2.5 cups.

ME = 1.96 * (2.5 / √16)

  ≈ 1.96 * (2.5 / 4)

  ≈ 1.96 * 0.625

  ≈ 1.225

Therefore, the margin of error for a 95% confidence interval in the second sample is approximately 1.23 cups.

To know more about margin of error refer here:

https://brainly.com/question/31950158#

#SPJ11

Answer:

The most efficient method is completing the square because the equation can be written in the form \(x^2 - d\)

x ~ 2.24

x ~ -2.24

Step-by-step explanation:

Solve the equation using any method that is efficient. The most efficient method is completing the square, because the equation can be written in the form \(x^2 - d\). Use this method to solve the problem, since the equation is already in the format, \(x^2 - d\), all one has to use is inverse operations to solve the equation.

\(-5x^2 = -25\\/-5\\\\x^2 = 5\\\sqrt{}\\\\x = +- \sqrt{5}\)

x ~ 2.24

x ~ -2.24

Answer:

B

Step-by-step explanation:

21 inches to 7 inches

The width of the original image is B)  \(7\frac{7}{8}\) inches.

Given that: The width of the large poster is 21 inches.

Given that: The original image has dimensions that are 3/8 of the dimensions of the image in the poster.

So the width of the original image is = \(\frac{3}{8}\cdot21=\frac{63}{8}=7\frac{7}{8}\)

Learn more: https://brainly.com/question/16596053

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

The probability of the intersection of events A and B, P(A∩B), is 0.00. The probability of the union of events A and B, P(A∪B), is 0.98. The conditional probability of event A given event B, P(A∣B), is undefined because events A and B are mutually exclusive.

a. Since events A and B are mutually exclusive, they cannot occur simultaneously. Therefore, the probability of their intersection, P(A∩B), is 0.00.

b. The probability of the union of two events can be calculated using the formula P(A∪B) = P(A) + P(B) - P(A∩B). In this case, since P(A∩B) is 0.00 (as events A and B are mutually exclusive), we have P(A∪B) = P(A) + P(B) - 0.00 = 0.44 + 0.54 = 0.98.

c. The conditional probability of event A given event B, denoted as P(A∣B), represents the probability of event A occurring given that event B has already occurred. However, since events A and B are mutually exclusive (i.e., they cannot occur together), the occurrence of event B implies the non-occurrence of event A. Consequently, the conditional probability P(A∣B) is undefined in this scenario.

To learn more about probability click here: brainly.com/question/31828911

#SPJ11

In general, in the case of two independent events X and Y,

Therefore, in our case,

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

The graph of -4x+3y=-30 is shown below.

The x-intercept of -4x+3y=-30 is: 7.5

The y-intercept of -4x+3y=-30 is: -10.

The x-intercept of a linear equation can be determined from its graph, where it is the point where the x-axis it intercepted by the line.

On the other hand, the y-intercept is the point on the y-axis that the graph intercepts or crosses.

Given the linear equation, -4x+3y=-30, find the x and y-intercepts as shown  below:

Find the x-intercept by substituting y = 0 into -4x+3y=-30:

-4x + 3(0) = -30

-4x = -30

x = -30/-4

x = 7.5

x-intercept is 7.5

Find the y-intercept by substituting x = 0 into -4x + 3y = -30:

-4(0) + 3y = -30

3y = -30

y = -30/3

y = -10.

y-intercept is -10.

The graph of the linear equation that shows the x and y-intercepts is shown in the diagram below.

Learn more about x and y-intercepts on:

https://brainly.com/question/8058870

#SPJ1

Answer: 66

Step-by-step explanation:

11 beats in 6 seconds means you mulitiply the beats times the seconds

Based on given data, for P(z > c) = 0.5699, the value of c rounded to 2 decimal places is 0.21.

In a standard normal distribution, the z-score represents the number of standard deviations a given value is from the mean. To find the value of c such that P(z > c) = 0.5699, we need to find the z-score corresponding to this probability.

Using a standard normal distribution table or a statistical calculator, we can find the z-score associated with a cumulative probability of 0.5699. This z-score represents the number of standard deviations above the mean that corresponds to the given probability.

When we look up the cumulative probability of 0.5699 in the standard normal distribution table, we find that the corresponding z-score is approximately 0.21. Therefore, the value of c rounded to 2 decimal places is 0.21.

In summary, for P(z > c) = 0.5699, the value of c is approximately 0.21 when rounded to 2 decimal places. This means that the probability of observing a z-score greater than 0.21 in a standard normal distribution is 0.5699.

Learn more about cumulative probability here:

brainly.com/question/30772963

#SPJ11

Josephine needs to invest an initial amount of approximately $13,427.11 to have $1,000,000 at retirement if she waits 20 years to invest and retires in 50 years from now with a 12% interest rate compounded semiannually.

We can use the formula for compound interest to find the initial investment that Josephine needs to make:

A = P(1 + r/n)^(n*t)

where A is the future value, P is the principal or initial investment, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.

In this case, Josephine wants to have $1,000,000 at retirement, which is the future value. She will wait 20 years to invest and will retire in 50 years from now, which is a total time period of 50 - 20 = 30 years. The interest rate is 12% per year, compounded semiannually, which means n = 2 and r = 0.12/2 = 0.06.

Substituting these values into the formula, we get:

1,000,000 = P(1 + 0.06/2)^(2*30)

Simplifying the expression inside the parentheses, we get:

1 + 0.06/2 = 1.03

Substituting this value and simplifying further, we get:

1,000,000 = P(1.03)^60

Dividing both sides by (1.03)^60, we get:

P = 1,000,000/(1.03)^60

Using a calculator, we get:

P ≈ $13,427.11

Therefore, Josephine needs to invest approximately $13,427.11 initially.

To know more about Investment:

https://brainly.com/question/28458185

#SPJ4

Answer:

Area of quadrilateral ABCD = 29.79 units² (Approx)

Step-by-step explanation:

Area of triangle ABD

s = (3.48+8.66+8.6) / 2

s = 10.37

Area of triangle ABD = √10.37(10.37-8.66)(10.37-8.6)(10.37-3.48)

Area of triangle ABD = √212.4616

Area of triangle ABD = 14.5760625 unit²

Area of triangle ACD

s = (3.54+8.84+8.6) / 2

s = 10.49

Area of triangle ACD = √10.49(10.49-8.6)(10.49-8.84)(10.49-3.54)

Area of triangle ACD = √227.3558

Area of triangle ACD = 15.0783222 unit²

Area of quadrilateral ABCD = Area of triangle ABD + Area of triangle ACD

Area of quadrilateral ABCD = 14.5760625 unit² + 15.0783222 unit²

Area of quadrilateral ABCD = 29.6542units²

Area of quadrilateral ABCD = 29.79 units² (Approx)

Answer:

You prove the base angles are congruent by constructing the angle bisector through the vertex angle of an isosceles triangle. By constructing the angle bisector, we designed two congruent triangles and then used CPCTC to show that the base angles are congruent.

Step-by-step explanation:

Answer:

f(5) = 22; f(9) = 34

Step-by-step explanation:

f(5) = 3(5) +7

f(5) = 22

f(9) = 3(9) +7

f(9) = 34

Answer:

A. 210

Step-by-step explanation:

If you add the number of employees on the bar graph you will obtain your answer of 210 employees at Acme Corporation/Apple InfoTech.