Pls show working 3 friends shared the driving on a long trip. Marla drove 7 miles more than Guido. Guido drove five times as far as Juanita did Juanita drove 112 miles. How Long was the trip thank you

Answer:

The answer is (-40)

Step-by-step explanation:

°F = 1.8C + 32

°F = 1.8(-40) + 32

°F = -72 + 32

°F = -40°

Thus, At (-40) where degrees Fahrenheit and degrees Celsius is same.

-TheUnknownScientist 72

There is a 50% chance that both students are upperclassmen.

Given: Two students meet at a library, where at least one of them is an upperclassman who is currently taking EECS 126, assume each student is an upperclassman and underclassmen with equal probability and each student takes 126 with probability 1/10, independent of each other and independent of their class standing. To find: Probability that both students are upperclassmen.

Solution: Let P(A) be the probability that a student is an upperclassman, and P(B) be the probability that a student is taking EECS 126.P(A) = 1/2 (Given, Assume each student is an upperclassman and underclassmen with equal probability) P(B) = 1/10 (Given, each student takes 126 with probability 1/10, independent of each other and independent of their class standing) Let C be the event that both students are upperclassmen. Then, P(C) = Probability that both students are upperclassmen P(C') = Probability that one student is an underclassman or both are underclassmen P(C') = P(Ac) ...(i) P(C') = 1 - P(C) ...(ii) P(Ac) = P(underclassman) = 1/2 (Given, Assume each student is an upperclassman and underclassmen with equal probability)

Now, P(C') = P(Ac) = 1/2 ...from (i) P(C) = 1 - P(C') = 1 - 1/2 = 1/2 Also, P(B) and P(A) are independent events as given in the question, So, P(AB) = P(A)P(B) = (1/2) x (1/10) = 1/20 Hence, the probability that both students are upperclassmen is P(AB) = 1/20.In other words, there is a 50% chance that both students are upperclassmen.

Know more about Probability here:

https://brainly.com/question/32900629

#SPJ11

To formulate a linear programming model, let N represent the amount spent on newspaper advertising and R represent the amount spent on radio advertising.

The objective is to maximize the value of total audience exposure, which can be measured using the exposure index. Let's denote this as Z.
The constraints are as follows:
1. The budget constraint: N + R ≤ $5,000.
2. At least 25% of the budget must be spent on each type of media: N ≥ $1,250 and R ≥ $1,250.
3. The amount spent on local newspaper advertising must be at least twice the amount spent on radio advertising: N ≥ 2R.
Therefore, the linear programming model can be written as follows:
Maximize Z = 40N + 70R
Subject to:
N + R ≤ 5000
N ≥ 1250
R ≥ 1250
N ≥ 2R
(b) To solve this problem using Excel Solver, you can set up a spreadsheet model with the following columns: Newspaper Dollars Allocated, Radio Dollars Allocated, Total Exposure Index.
In the Newspaper Dollars Allocated column, input the formula "=N" to represent the amount spent on newspaper advertising. In the Radio Dollars Allocated column, input the formula "=R" to represent the amount spent on radio advertising.
In the Total Exposure Index column, input the formula "=40*N+70*R" to calculate the total exposure index based on the allocated budget.
Use Excel Solver to set up the optimization problem. Set the objective cell as the Total Exposure Index column and set the constraints for the budget, minimum spending, and newspaper-radio ratio.
After running the Solver, it will provide the optimal values for N and R (the amount spent on newspaper and radio advertising, respectively), as well as the maximum value of total audience exposure (rounded to the nearest integer).

To know more about linear programming visit:

https://brainly.com/question/30763902

#SPJ11

Answer:

-12

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

12.5% of 120 is 15 so if you take 15 divided by 120 you would get 0.125 and turned into a percentage is the 12.5%

Answer:

6x^2+2x

Step-by-step explanation:

Answer:

area of rectangle=2x×(3x+1)=6x²+2x

Answer:

70000

Step-by-step explanation:

you simply just add all the zeros in the equation.

(side note: that wording messed me up so much)

Answer:

B

Step-by-step explanation:

Answer:

d don't know how to explain it but i think its d

Answer:

6

Step-by-step explanation:

The base 2 logarithm of 64 is 6 or log264 = 6.

Answer:

Please add image

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 second zero and third zero of the given function are 1 when one of its other zeros is 2.

According to the question,

We have the following information:

y = \(x^{3} -4x^{2} +6x-4\)

Now, one of its zeros is 2.

x = 2

x-2 = 0

So, the expression that we have is (x-2).

Now, we will divide the given function by (x-2).

So, we have:

\((x-2)\) \((x^{2} -2x+2)\)

So, we have a quadratic equation to find zeros of the function:

\((x^{2} -2x+2)= 0\)

Now, we can use the quadratic formula to find the zeros of this quadratic equation.

\(x = -b +\sqrt[]{b^{2}-4ac } /2a\)

\(x = -(-2) +\sqrt[]{(-2)^{2}-4*1*2 } /2*1\)

x = (2+0)/2

x = 2/2

x = 1

Now, when we put - in place of + before the determinant we have the same result because the value of the determinant is 0.

x = 1

Hence, the other two zeros of the given function are 1 and 1.

To know more about zeros here

https://brainly.com/question/28146711

#SPJ1

To find positive numbers x and y that satisfy the given condition, we need to minimize the sum x + y while keeping the product xy constant. We can use the Arithmetic Mean-Geometric Mean (AM-GM) Inequality for this problem. The AM-GM inequality states that the arithmetic mean of a set of non-negative numbers is always greater than or equal to the geometric mean of the same numbers.

In this case, we have two numbers, x and y. The arithmetic mean of x and y is (x + y)/2, and the geometric mean is √(xy). According to the AM-GM inequality, we have:

(x + y)/2 ≥ √(xy)

Multiplying both sides by 2, we get:

x + y ≥ 2√(xy)

Now, we want to minimize the sum x + y, which means we need to find the minimum value for the right-hand side of the inequality. The minimum value occurs when the inequality becomes an equality:

x + y = 2√(xy)

To achieve this equality, x must be equal to y (x = y). This is because the arithmetic mean and geometric mean are equal only when all the numbers in the set are equal. Therefore, x = y and the product xy will have the minimum sum. The exact values of x and y will depend on the given constraint for the product xy.

To know more about mean visit:

https://brainly.com/question/31101410

#SPJ11

The upper value of the 95% CI of the mean rod diameter is approximately 8.276 millimeters.

To find the upper value of the 95% confidence interval (CI) of the mean rod diameter, we can use the formula:

Upper CI = sample mean + margin of error

First, we calculate the sample mean. Adding up all the measured diameters and dividing by the sample size gives us:

Sample mean = (8.24 + 8.25 + 8.20 + 8.23 + 8.24 + 8.21 + 8.26 + 8.26 + 8.20 + 8.25 + 8.23 + 8.23 + 8.19 + 8.36 + 8.24) / 15 = 8.2353 (rounded to 4 decimal places)

Next, we need to calculate the margin of error. Since we have a sample size of 15, we can use the t-distribution with 14 degrees of freedom (n - 1) for a 95% confidence level. Consulting the t-distribution table or using statistical software, we find that the critical value for a two-sided 95% CI is approximately 2.145.

The margin of error is then given by:

Margin of error = critical value * (sample standard deviation / √n)

From the given data, the sample standard deviation is approximately 0.0489. Plugging in the values, we have:

Margin of error = 2.145 * (0.0489 / √15) ≈ 0.0407 (rounded to 4 decimal places)

Finally, we calculate the upper CI:

Upper CI = 8.2353 + 0.0407 ≈ 8.276 (rounded to 3 decimal places)

To learn more about confidence interval click on,

https://brainly.com/question/17019362

#SPJ4

Answer:

7/4

Step-by-step explanation:

\( \displaystyle\frac{2 + \sqrt{ - 3} }{2} ( \frac{2 - \sqrt{ - 3} }{2} )~~~~~~ \)

Evaluate.

Solution:

Rewrite it as,

Multiplying them,

Applying Distributive property,

Combining each terms,

Last Choice is accurate.

Option A,C

\(\\ \sf\longmapsto \dfrac{1}{2}\)

\(\\ \sf\longmapsto 2\)

\(\\ \sf\longmapsto 0.25=\dfrac{1}{4}\)

A fraction is a way to describe a part of a whole. The correct options are A, C, and D.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

From the options, all the possible values of 1/a can be written as,

A. 1/2 = 1/a, where a=2.

B. 2 = 2/1, therefore, it can not be written in the form of 1/a

C. 0.25 = 1/4, where a=4.

D. -3<-a<-1/2, since a value should be in the range -3<-a<-1/2, therefore, there can be multiple solutions possible. Such as 1/(1), 1/2, etc.

Hence, the correct options are A, C, and D.

Learn more about Fraction here:

https://brainly.com/question/1301963

#SPJ2

Answer: The solution for the inequality -2x > 10 is the opposite of this solution, because we flipped the direction of the inequality when we divided by -2.

Step-by-step explanation:

To solve the inequality -2x > 10, we need to isolate x on one side of the inequality by dividing both sides by -2, while flipping the direction of the inequality:

-2x > 10

x < -5

So, any value of x less than -5 would make this inequality true. For example, x = -6, x = -7, x = -10, etc.

The solutions to the inequality -2x > 10 are different from the solutions to -2x < -10 because the direction of the inequality is reversed when we multiply or divide both sides by a negative number.

For example, if we multiply both sides of -2x > 10 by -1, we get:

2x < -10

Dividing both sides by 2, we get:

x < -5

This is the same solution as for the inequality -2x < -10. However, the solution for the inequality -2x > 10 is the opposite of this solution, because we flipped the direction of the inequality when we divided by -2.

To know more about flipping refer here

https://brainly.com/question/10749993#

#SPJ11

Therefore, the value of k is 3 if  the area of the region R is 36.

To find the value of k, we need to find the bounds of the integral that will give us the area of region R. Since R is in the fourth quadrant and is enclosed by the x-axis and the curve y=x^(2)-2kx, we need to find the x-intercepts of the curve:

x^(2)-2kx=0

x(x-2k)=0

x=0 or x=2k

Since R is in the fourth quadrant, we only need to consider the x-intercept x=2k. Therefore, the bounds of the integral are from x=0 to x=2k.

The area of region R can be found using the following integral:

A = ∫[0, 2k] (x^2 - 2kx) dx

= [x^3/3 - kx^2] from 0 to 2k

= (8k^3)/3 - 4k^3

= (4k^3)/3

Since we are given that the area of region R is 36, we can set up the following equation:

(4k^3)/3 = 36

Simplifying, we get:

k^3 = 27

Taking the cube root of both sides, we get:

k = 3

To know more about area,

https://brainly.com/question/2292569

#SPJ11

Answer:

\(120^{0}\)

Step-by-step explanation:

Given: pentagon (5 sided polygon), two interior angles = \(90^{0}\) each, other three interior angles are congruent.

Sum of angles in a polygon = (n - 2) × \(180^{0}\)

where n is the number of sides of the polygon.

For a pentagon, n = 5, so that;

Sum of angles in a pentagon = (5 - 2) × \(180^{0}\)

                                                = 3  × \(180^{0}\)

                                                = \(540^{0}\)

Sum of angles in a pentagon is \(540^{0}\).

Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;

\(540^{0}\) - (2 × \(90^{0}\))  = \(540^{0}\) - \(180^{0}\)

                       = \(360^{0}\)

So that;

the measure of the interior angle = \(\frac{360^{0} }{3}\)

                                                        = \(120^{0}\)

The measure of one of its three congruent interior angles is \(120^{0}\).

Applying SOHCAHTOA, the value of the missing side in the right triangle is calculated as: x ≈ 11.2.

SOHCAHTOA is an acronym for the basic trigonometric ratios that can be used to find the missing side of a right triangle. It means:

SOH implies sin ∅ = opposite / hypotenuse

CAH implies cos ∅ = adjacent / hypotenuse

TOA implies tan ∅ = opposite / adjacent.

To find the missing side, x, we will apply SOH:

sin 36 = x/19

19 * sin 36 = x

x ≈ 11.2

Learn more about SOHCAHTOA on:

https://brainly.com/question/27773573

#SPJ1

Therefore, the series 4/5 - 4/7 + 4/9 - 4/11 + 4/13 - ... is convergence in nature.

To test the convergence or divergence of the given series: 4/5 - 4/7 + 4/9 - 4/11 + 4/13 - ..., we can use the alternating series test. The alternating series test states that if a series has the form (-1)^n b_n, where b_n is a positive sequence that is decreasing and approaches zero as n approaches infinity, then the series converges.

In the given series, we have b_n = 4/(2n+3), which is a positive sequence that approaches zero as n approaches infinity. To see that b_n is decreasing, we can note that b_{n+1}/b_n = 2(2n+3)/(2n+5) < 1 for all n, since the numerator is always less than the denominator. Therefore, b_n is a positive, decreasing sequence that approaches zero as n approaches infinity.

Furthermore, the series has the form (-1)^n b_n, where the sign alternates between positive and negative. Therefore, we can apply the alternating series test, which tells us that the series converges.

To know more about convergence,

https://brainly.com/question/20876952

#SPJ11

Since the equation is inconsistent (0 ≠ -6), there is no solution to the system of equations.

(a) To find the inverse of matrix A, we can use the formula:

A⁻¹ = (1/det(A)) * adj(A)

where det(A) is the determinant of A and adj(A) is the adjugated of A.

First, let's calculate the determinant of A:

det(A) = (2 * 15) - (3 * 5) = 30 - 15 = 15.

Next, we need to find the adjuvate of A, which is obtained by swapping the elements of the main diagonal, changing the sign of the elements in the other diagonal, and taking the transpose of the resulting matrix.

adj(A) = (15 -3)

(-5 2)

Finally, we can calculate A⁻¹ by dividing the adjugate of A by the determinant of A:

A⁻¹ = (1/15) * (15 -3)

(-5 2)

Therefore, A⁻¹ is given by:

A⁻¹ = (1/15) * (15 -3)

(-5 2)

(b) To find the reduced row echelon form of matrix A, we can perform row operations until the matrix is in its simplest form.

Starting with matrix A:

2 3

5 15

We can perform the following row operations:

R2 = R2 - (5/2)R1

This results in:

2 3

0 0

The matrix is now in row echelon form, but not in reduced row echelon form because the pivot element (2) is not equal to 1. However, the matrix cannot be further reduced because there are no non-zero elements below the pivot element.

Therefore, the reduced row echelon form of matrix A is:

2 3

0 0

(c) To solve the equation Ax = (1) (-1), we can use matrix multiplication. Let's denote the column vector x as (x₁, x₂).

Multiplying matrix A with vector x:

2 3 x₁ = 1

5 15 x₂ -1

This can be written as a system of linear equations:

2x₁ + 3x₂ = 1

5x₁ + 15x₂ = -1

Solving this system of equations, we can use various methods such as substitution or elimination.

Multiplying the first equation by 5 and subtracting it from the second equation:

5x₁ + 15x₂ - (5x₁ + 15x₂) = -1 - 5

This simplifies to:

0 = -6

To know more about equation,

https://brainly.com/question/29261088

#SPJ11

Answer:

26r^2 + 36r.

Step-by-step explanation:

Answer:

$2 per mile

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 5)

Point (4, 9)

Step 2: Find slope m

Problem 1

Answer: Closer to 1

Explanation:

There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.

================================================

Problem 2

Answer: Closer to 0

Explanation:

The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50

================================================

Problem 3

Answer: Closer to 0

Explanation:

We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50

================================================

Problem 4

Answer: 48% chance; fairly likely

Explanation:

We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%

Answer:

B

Step-by-step explanation:

Recall that \((g \circ f)(x)=g(f(x))\). In other words, we need to find \(f(x)\) first and then put that value into \(g(x)\).

We need to find \((g \circ f)(4) =g(f(4))\)

\(f(x)=4x-2\\\)

\(f(4)=4(4)-2=14\)

\((g \circ f)(4) =g(f(4))=g(14)\)

\(g(x)=-6x^2-8x-8\)

\(g(14)=-6(14)^2-8(14)-8\)

\(g(14) = (g \circ f) (4) =-1296\)

Answer:

A = 2, the number is 3221

Step-by-step explanation:

In order for the number to be divisible by 9, the sum of it's digit has to be divisible by 9.

In our case, \(4+A+A+1= 9k\) where k is an integer. the easiest way happens when k=1

\(5+2A= 9 \rightarrow 2A=4 \rightarrow A = 2\)

Higher values of k will likely most work (with k=2 you get A to be a non-integer, which can't work since it's the digit of a number, and with higher values of K you're not getting a number in base 10.

Answer:

(Biggest to smallest)

Sides: DE, FE, FD

Angles: <F, <D, <E

Step-by-step explanation:

DE = 14, FE = 10, FD = 8 (Biggest to smallest)

Each angle matches up diagonally with a side

Hope this helps!

With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.

Given that:

Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.

We need to know how many servings of 3/4 cup can be obtained from 13 cups.

now we need to divide 13 by 3/4

=13 ÷ 3/4  

= 13 × 4/3

= 52/3

= 17\(\frac{1}{3}\)

With one third of a serving remaining, there are 17 servings total.

To learn more about divide:

https://brainly.com/question/15381501

#SPJ4