8. Beatrice has 20 coins in quarters and nickels. The total value of her coins is $2.20. How many mickels and quartiers
does she have?

Answer:

D. because

Step-by-step explanation:

ok

7/10 would be the probablity

7/10 is the probability that a randomly selected student is a female or a liberal arts major.

Let us determine the number of female students:

15 + 18 + 17 = 50.

Determine the number of students majoring in liberal arts:

20 + 18 = 38.

Determine the number of students who are both female and liberal arts majors: 18.

Add the number of female students and the number of liberal arts majors, but subtract the overlap (students who are both female and liberal arts majors):

50 + 38 - 18

= 70.

Divide the result by the total number of students:

70 / 100

= 7/10.

Hence,  the probability that a randomly selected student is a female or a liberal arts major is 7/10.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ6

Answer:

2x+10+x+5=180

3x+15=180

3x=165

x=55

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

m > -7 OR m < -10

Step-by-step explanation:

5 + m > -2

5 + m + 2 > 0

5 + 2 > - m

7 > -m

-7 > m

2m < -20

m < -20 / 2

m < -10

Answer:

531018560805

Step-by-step explanation:

Answer:

-10x - 29 = -18x + 91

x = 15

Step-by-step explanation:

29 less than -10 times a number is equal to -18 times the number plus 91:

-10x - 29 = -18x + 91

add 21 to both sides:

-10x - 29 + 29 = -18x + 91 + 29

-10x  = -18x + 120

add 18x to both sides:

-10x + 18x  = -18x + 120 + 18x

8x = 120

divide both sides by 8:

8x/8 = 120/8

x = 15

The function below is not provided in the question, therefore, I cannot provide a specific linearization method to fit the data to a linear regression model.

However, in general, the correct linearization method for a function to be fit to a data set using linear regression would depend on the functional form of the equation.

For example, if the function is exponential, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression.

The specific linearization method to fit a function to a linear regression model would depend on the functional form of the equation. For an exponential function, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression. However, since the function in question is not provided, I cannot provide a specific linearization method.

The correct linearization method for a function to be fit to a linear regression model depends on the functional form of the equation and cannot be determined without knowledge of the specific function.

To know more about linear visit:

brainly.com/question/31510530

#SPJ11

The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

Hence, The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

learn more about hyperbola click here:

https://brainly.com/question/16454195

#SPJ4

By applying the Laplace transform to the given boundary-value problem and following the procedure outlined in Example 10, the solution for y(t) is obtained as y(t) = 6e^(-t).

The Laplace transform can be used to solve differential equations, including boundary-value problems. In this case, we have the second-order linear homogeneous differential equation y'' + 2y' + y = 0, with the initial conditions y'(0) = 6 and y(1) = 6.

To solve the problem using the Laplace transform, we apply the transform to the differential equation and the initial conditions. This transforms the differential equation into an algebraic equation that can be solved for the Laplace transform of y(t), denoted as Y(s).

By applying the Laplace transform to the given differential equation, we obtain the algebraic equation s^2Y(s) + 2sY(s) + Y(s) = 0. Solving this equation for Y(s), we find Y(s) = 6s/(s^2 + 2s + 1).

To find the inverse Laplace transform of Y(s) and obtain the solution y(t), we use partial fraction decomposition and consult Laplace transform tables. By applying the inverse Laplace transform, we find y(t) = 6e^(-t).

Therefore, the solution for the given boundary-value problem is y(t) = 6e^(-t)

Learn more about  Laplace transform here:

https://brainly.com/question/30759963

#SPJ11

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Step-by-step explanation:

Given:

We know that:

(a + b)² = a² + 2ab + b²

Now , substituting the value in equation,we get.

=> (a + b)² = 73 + 2 × 24

=> (a + b)² = 73 + 48

=> (a + b)² = 121

=> (a + b) = √121 = ±11. ----------(1)

Again:

(a - b)² = a² - 2ab + b²

=> (a - b)² = 73 - 48

=> (a - b)² = 25

=> (a - b)² = √25 = ±5. -------(2)

Hope this helps!

Step-by-step explanation:

the answer is in the image above

The first step in solving the equation 4x - 12 = 20 using algebra tiles is to add twelve + 1 tiles to each side of the model.

By adding twelve + 1 tiles to each side of the model, we are essentially adding 12 to both sides of the equation.

This step helps to isolate the variable term, 4x, on one side of the equation and move the constant term, 12, to the other side.

After adding twelve + 1 tiles to each side, the equation becomes

                                                4x = 32

Now, we can move on to solving for x by performing subsequent steps such as dividing both sides by 4 to isolate x.

In summary, the first step in solving the equation 4x - 12 = 20 using algebra tiles is to add twelve + 1 tiles to each side of the model.

To learn more about algebra tiles visit:

brainly.com/question/31274000

#SPJ11

The third-place runner would have been 50.0 meters behind the winner when the winner crossed the finish line.

a) Computation on the assumption that each runner ran at his average speed for the entire race:

The difference in time between the winner and the third-place runner is 10.07 – 9.72 = 0.35 seconds.

Therefore, the third-place runner was behind the winner by a distance of:

(100 m)/(9.72 m/s – 10.07 m/s)

= 1,000 m/(-0.35 m/s)

≈ 285.7 m

(Note: The answer is negative because the third-place runner was behind the winner. The magnitude of the answer represents the distance that the third-place runner was behind the winner.)

b) Computation on the assumption that after an initial acceleration phase, world-class sprinters run at a speed of 12.0 m/s:

If the runners reach a constant speed of 12.0 m/s after an initial acceleration phase, then they will cover the first 50 meters in a time of t = d/v = 50 m/12.0 m/s = 4.17 s.

During this time, the winner would have covered an additional 50 meters and finished the race, while the third-place runner would have covered a distance of only d = v*t = 12.0 m/s x 4.17 s = 50.0 m.

So, the third-place runner would have been 50.0 meters behind the winner when the winner crossed the finish line.

To know more about average speed, visit:

https://brainly.com/question/13318003

#SPJ11

In the two scenarios, the third-place runner was 3.47m and 4.2m behind when the winner crossed the finish line, assuming constant average speed and a speed of 12m/s respectively.

To answer this question, you need to understand the concept of average speed which is calculated by dividing the total distance traveled by the total time taken.

a) In the first scenario, assuming, both runners maintained a constant speed throughout the race. The speed of the winner is 100m / 9.72s = 10.28 m/s and the speed of the third-place runner is 100m / 10.07s = 9.93 m/s.

When the winner crossed the finish line, the third-place runner was still running for (10.07s - 9.72s) = 0.35s. At his average speed he was (9.93m/s * 0.35s) = 3.47m behind.

b) In the second scenario, if both runners reached the same speed of 12m/s after an initial acceleration phase, the time they spent at this speed will vary.

When the winner crossed the finish line, the third-place runner still needed (10.07s - 9.72s) = 0.35s to finish. At the speed of 12m/s, he was (12m/s * 0.35s) = 4.2m behind.

https://brainly.com/question/35969362

#SPJ12

For the differential equation 25y'' + 81y = 0 with initial conditions y(0) = 5 and y'(0) = 7, the solution is y(t) = 5cos(3t) + (7/3)sin(3t).

We are given the differential equation: y′′+12y′+37y=0

Step 1: Determine the characteristic equation by assuming that y=erty''+12y'+37y=0r2+12r+37=0

Step 2: Solve the quadratic equation to determine the roots of the characteristic equation.

We get: r=-6 ± 5i

Step 3: The general solution to the differential equation can be written as y(t)=c1e−6tc2cos(5t)+c3sin(5t)

where c1,c2, and c3 are constants that we need to solve using the initial conditions.

Step 4: We are given that y(0)=7 and

y'(0)=4.

Using these initial conditions, we can solve for the constants c1,c2, and

c3.c1=7

c2=0.8

c3=1.6

Thus the solution to the differential equation y′′+12y′+37y=0

with the initial conditions y(0)=7 and y′(0)=4 is:

y(t)=7e−6t+0.8cos(5t)+1.6sin(5t)

Therefore, the value of y(t) is 7e−6t+0.8cos(5t)+1.6sin(5t).

Learn more about quadratic equation from the given link:

https://brainly.com/question/30098550

#SPJ11

Answer:

y=3x^2-6x+3

Step-by-step explanation:

Answer:I would think bobs thing..

Step-by-step explanation:

no one can make that many pizzas.

The following line of code in Python calculates the probability P(t > 0.115) for a Student's t-distribution with mean 0, standard deviation 1, and 49 degrees of freedom:

import scipy.stats as stats

1 - stats.t.cdf(0.115, df=49)

The cdf function calculates the cumulative density function (CDF) of the t-distribution, which gives the probability that the random variable (t-statistic) is less than or equal to a given value. To find the probability that it is greater than a given value, we subtract the CDF from 1.

Standard deviation is a statistical measure that calculates the amount of variation or dispersion of a set of data values. It represents how far the data points in a set deviate from the mean.

A low standard deviation indicates that the data points are close to the mean, while a high standard deviation indicates that the data points are more spread out.

To know more about standard deviation refer to:

brainly.com/question/23907081

#SPJ4

To evaluate the definite integral ∫ 7 3 ( 5 x − 20 ) d x ∫37(5x-20)dx in terms of areas, we can interpret it as the area bounded by the x-axis, the line y=5x-20, and the vertical lines x=3 and x=7.

Using the power rule of integration, we can first simplify the integrand:

∫ 7 3 ( 5 x − 20 ) d x = ∫ 7 3 5 x d x − ∫ 7 3 20 d x
= [ 5 2 x 2 ] 7 3 − [ 20 x ] 7 3
= ( 5 2 ( 7 2 − 3 2 ) ) − ( 20 ( 7 − 3 ) )
= 70

Therefore, the definite integral evaluates to 70, which represents the area of the region bounded by the x-axis, the line y=5x-20, and the vertical lines x=3 and x=7.

Learn more about the definite integral :

https://brainly.com/question/29974649

#SPJ11

I hope this help you

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

learn more about change here

brainly.com/question/32782775

#SPJ4

The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Answer:

Step-by-step explanation:

1. 2x>-6

2.  x-4<7

3. -x-5<=-2

4. 6+x<=3

hope this helps!

Answer:

1 2x>-6

2 x-4<-7

4 6+x _<_

3-x-5 _<_-2

Step-by-step explanation:

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

To learn more about mean visit;

brainly.com/question/31101410

#SPJ11

The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

https://brainly.com/question/34836468

#SPJ12

The p- value for the given sample and favored sample to determine the proportion is equal to 0.04135 which is statistically significantly , reject null hypothesis and accept alternative hypothesis.

As given in the question,

Sample size of people 'n' = 100

Number of favored candidates = 60

Success value 'p'  = 60/100

                              = 0.60

1 - p = 1 - 0.60

      = 0.40

Null hypothesis : H₀ > 50%

Alternative hypothesis : H₁ ≤ 50%

Test statistic :

Proportion of the population:

z = (p - \(\^{p}\) ) / √ p ( 1- p)/n

  = ( 0.60 - 0.50)/ √ 0.60(0.40)/100

 = 0.10/ √0.0024

 = 0.10/0.049

 = 2.04

p - value using table is equal to 0.04135

Significant level is 0.05

0.04135 < 0.05 .

Here conclusion is statistically significant, reject null hypothesis and accept alternative hypothesis.

Therefore, the p- value for the given sample and favored sample is equal to 0.04135 which is statistically significantly , reject null hypothesis and accept alternative hypothesis.

Learn more about p- value here

brainly.com/question/14790912

#SPJ4

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The p-value is less than 0.01, which is less than the significance level of 0.05. Hence, we reject the null hypothesis The t-value for a two-tailed test is 2.145

The given data is to test the hypothesis that production line 1 is not producing as consistently as production line 2 in terms of alcohol content against the alternative that μ₁ ≠ μ₂. Here, the population standard deviation is not given, so we will use the two-sample t-test formula that uses sample standard deviations to estimate the population standard deviations.

 Sample 1: Production line 1: 0.48 0.39 0.42 0.52 0.39 0.49 0.52 0.51 Sample 2: Production line 2: 0.39 0.38 0.39 0.41 0.38 0.39 0.41 0.39 Here, we will use the two-sample t-test formula that uses sample standard deviations to estimate the population standard deviations.

The formula to find the t-test is given by:\($$t = \frac{\bar{X_1} - \bar{X_2}}{\sqrt{\frac{{S_1}^2}{n_1} + \frac{{S_2}^2}{n_2}}}$$\)where, \($$\bar{X_1}$$\) and \($$\bar{X_2}$$\) are the means of the two samples, \($$S_1$$\) and \($$S_2$$\)are the standard deviations of the two samples, and \($$n_1$$ and $$n_2$$\) are the sample sizes of the two groups.

Now, let us substitute the above values in the formula to calculate the test statistic.f= 3.45 (approx)Thus, the test statistic for the given data is 3.45.The two-sample t-test is used to test whether the means of two populations are equal or not.

The test statistic is calculated and compared with the critical value of t from the t-distribution. The p-value is the probability of getting the observed difference between means assuming the null hypothesis is true. Here, the calculated test statistic value is 3.45.

Now, we need to find out the degrees of freedom (df) using the formula:df = (n1 + n2) – 2= (8 + 8) – 2= 14 Now, we will look into the t-distribution table to find out the t-value for a two-tailed test with α = 0.05 and df = 14. . Here, since the calculated test statistic value is greater than the t-value, we reject the null hypothesis.

The p-value for a two-tailed test is the probability of observing a t-value greater than 3.45 or less than -3.45 with 14 degrees of freedom. The p-value is less than 0.01, which is less than the significance level of 0.05. Hence, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the alcohol content of production line 1 is different from that of production line 2. The t-value for a two-tailed test with α = 0.05 and df = 14 is 2.145

Know more about probabilities  here:

brainly.com/question/29381779

#SPJ11