what is the probability that washing dishes tonight will take me between 15 and 16 minutes? give your answer accurate to two decimal places.

Answer:

Step-by-step explanation:

1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.

2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.

So 5/4 x 1/2 is 5/8.

3. Lila will need 5/8 cups of raisins.

Answer:

Amount of weight Kari lost in pound = 6.34 pound (Approx.)

Step-by-step explanation:

Given;

Amount of weight Kari lost in kilogram = 2.88 kilograms

Given scale;

1 kilogram = 2.2 pound

Find:

Amount of weight Kari lost in pound

Computation;

Amount of weight Kari lost in pound = Amount of weight Kari lost in kilogram x  2.2 pound

Amount of weight Kari lost in pound = 2.88 x 2.2 pound

Amount of weight Kari lost in pound = 6.336

Amount of weight Kari lost in pound = 6.34 pound (Approx.)

Answer:  x = -5/2 and x = -3/2

Step-by-step explanation:

(2x + 5)2 = 4x (x + 5) +25

   4x + 10 = 4x² + 20x + 25

   [minus 4x on both sides.]

            10 = 4x² + 16x + 25

   [minus 10 on both sides.]

            0 = 4x² + 16x + 15

ac = 4(15) = 60,then find the factors that add up to 16, which is 6 and 10.

            0 = 4x² + 6x + 10x + 15

            0 = 2x(2x + 3) + 5(2x + 3)

            0 = (2x + 5)(2x + 3)

2x + 5 = 0                                 2x + 3 = 0

       2x = -5                                    2x = -3

         x = -5/2                                    x = -3/2

\(\huge\text{Hey there!}\)

\(\textbf{Assuming you meant: }\mathsf{(2x + 5)^2 = 4x(x + 5) + 25}\)

\(\textbf{If so, simplify both sides of your equation you're working with}\)

\(\mathsf{ 4x^2 + 20x + 25 = 4x^2 + 20x + 25}\)

\(\textbf{SUBTRACT }\rm{\bf 4x^2}\text{ \bf to BOTH of the SIDES}\)

\(\mathsf{4x^2 + 20x + 25 - 4x^2 = 4x^2 + 20x + 25 - 4x^2}\)

\(\textbf{Simplify it!}\)

\(\mathsf{20x + 25 = 20x + 25}\)

\(\textbf{SUBTRACT 20x to BOTH of the SIDES}\)

\(\mathsf{20x + 25 - 20x = 20x + 25 - 20x}\)

\(\large\textbf{SIMPLIFY IT! (as well)}\)

\(\mathsf{25 = 25}\)

\(\textbf{SUBTRACT 25 to BOTH of the SIDES}\)

\(\mathsf{25 - 25 = 25 - 25}\)

\(\textbf{Lastly, SIMPLIFY THAT!}\)

\(\textbf{We get: }\mathsf{0 = 0}\)

\(\large\textsf{This means that your \boxed{\textsf{solutions}} are \bf REAL NUMBERS.}\)

\(\huge\textsf{Therefore, your answer should be: }\\\boxed{\mathsf{All\ \underline{\underline{REAL\ NUMBERS}}\ are\ solutions.}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The product of r and s to the fourth power is written as

In math, the term exponent refers to the number of times a certain number multiplies it self.

The number that is being multiplies is referred to as the base number while the number of times it multiplies itself is the exponents

In the problem, the multiplication of r and s is done as follows

= r * s

= rs

In this case, the base number is rs and raise to the fourth power implies that rs multiplies it self four times

= rs * rs * rs * rs

= (rs)⁴

Learn more about exponents at :

https://brainly.com/question/13669161
#SPJ1

Answer:

(rs)^4

Step-by-step explanation:

The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

for such more question on equation

https://brainly.com/question/17482667

#SPJ8

The point (x,y) = (-1.5) is in the second quadrant. So the best way is to draw a point in the xy coordinate plane and a line segment at the origin (0,0).

Now draw a line from (-1.5) to the x-axis. What you should have is a right triangle with the following coordinates: (0,0); (-1.5); (-1.0).

If you look at a right triangle, it has a small leg on the x-axis. Its length is 1 unit. The larger leg is 5 units long. The length of the hypotenuse can be calculated using the Pythagorean theorem. c2 = a2 + b2, the length of hypotenuse c is √26.

In summary,

- length of short leg = 1 unit

- length of long leg = 5 units

- length of hypotenuse = √26 units

Let x be the length of the leg on the x axis (short leg). Let

y be the length of the other leg (long leg).

Let r be the length of the hypotenuse.

x = -1

y = 5

r = √26

Now we can calculate the trigonometric identity:

sin θ = y/r

cos θ = x/r

tan θ = y/x

cot θ = x/y

seconds θ = r/x

csc θ = r/y

Learn more about Pythagorean theorem https://brainly.com/question/343682

8449

Answer:

hi

Step-by-step explanation:

first of all,we should do this:

1 year is 12 month

amd 4 year is 48 month(12×4)

then we must add 2 months (wich is given) to 48

He was 50 months old when he started school

and we should find how old is he now

11 ×12=132months

132+1=133months

133-50=83 ( he has been 83 months in school)

let's turn it to years 6 years 11 months

( for finding years you should divide 83 to 12)

hope it helps

Answer:

The steps taken to solve an algebraic equation are the same steps used in an ... at one time, he gets a $10 discount so that the total cost of 4 shirts would be $44.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

4 is the answer

Step-by-step explanation:

because they gave 6into-4 =24

6into4 =24

I think it will help full for uu

it is helpful pls. do lijee

Answer:$43

Step-by-step explanation:

65 -22 =43

The function which represents the cost to drive a car from this agency miles x a day is :

C(x) = 15, if 0 ≤ x ≤ 200

      = 15 + 0.05x, if x > 200

Given that,

A car rental agency charges $15 a day for driving a car 200 miles or less.

The function can be written as,

C(x) = 15 if 0 ≤ x ≤ 200

If a car is driven over 200 miles, the renter must pay $0.05 for each mile over 200 driven.

C(x) = 15 + 0.05x, if x > 200

Hence the correct option is D.

Learn more about Functions here :

https://brainly.com/question/29067911

#SPJ1

As given by the question,

There are given that the equation:

Now,

First, suppose any number, for which the given equation has satisfied.

So, the number is, x = 2 and y = 6

Then,

Put both values into the given equation

Then,

Put the same value of x and y into the given option and check whether it is satisfied:

So,

From option 3:

Hence, the correct option is 3.

Answer:

c

Step-by-step explanation:

Answer:

a. Morgan's current average is (84+76)/2=80.

b. To maintain her current letter grade, Morgan needs to score at least a 76 on the final exam.

c. To move up a letter grade, Morgan needs to score at least a 92 on the final exam.

d. It is not possible for Morgan to fail the course. Even if she scores a 0 on the final exam, her overall grade will still be a 68, which is a passing grade.

Here is the work to support my answer:

a. the population mean customer satisfaction score is greater than 7. b. the alternative hypothesis specifies the direction of the difference (greater than 7).

a. The null hypothesis is that the population mean customer satisfaction score is 7, and the alternative hypothesis is that the population mean customer satisfaction score is greater than 7.

b. This is a one-tail test because the alternative hypothesis specifies the direction of the difference (greater than 7).

c. The sampling distribution of x-bar is approximately normal, centered at the hypothesized mean value of 7, and with a standard deviation of σ/sqrt(n), where σ is the population standard deviation (unknown) and n is the sample size. The spread of the distribution is determined by the standard deviation and the sample size. The x-axis represents the sample mean values and the y-axis represents the probability density.

d. See diagram below:

7                 7.25

             |-----------------|

The shaded area represents the probability of getting a sample mean that is greater than or equal to 7.25.

e. The test statistic is a t-value, calculated as:

t = (x-bar - μ) / (s / sqrt(n))

= (7.25 - 7) / (1.05 / sqrt(60))

= 2.27

f. The critical value is obtained from the t-distribution table with degrees of freedom (df) = n-1 = 59 and a significance level of .025. The critical value is 1.671.

g. See diagram below:

Probability Density

        |--------------*

        |             / \

        |            /   \

        |           /     \

        |          /       \

        |---------/---------*----

                -2.0     2.0    t

                                   |

                                  2.27

                                   |

                                   *

The shaded area represents the probability of getting a t-value that is greater than or equal to 2.27 (the test statistic).

h. The p-value is the probability of getting a sample mean of 7.25 or higher, given that the null hypothesis is true. Using the t-distribution with 59 degrees of freedom, the p-value is approximately .014.

i. The confidence coefficient is 1 - α, where α is the significance level. In this example, the confidence coefficient is .975.

j. If you add the value of the confidence coefficient and the significance level, the sum will equal 1. Therefore, the level of significance in this question is .025.

k. .975 + .025 = 1

m. Based on the calculations, we reject the null hypothesis at the .025 level of significance. This means that there is sufficient evidence to conclude that the population mean customer satisfaction score is greater than 7. Therefore, the company can advertise on its website and in its marketing campaign that it consistently provides an above average customer experience.

Learn more about population here

https://brainly.com/question/29885712

#SPJ11

Answer:

\(x\) = 6.34  to the nearest hundredth

Step-by-step explanation:

The three sides of a right-angled triangle have specific names:

The 3 trigonometric ratios are:

\(sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}\)

For the given triangle we are given the angle, the hypotenuse, and need to find the side that is OPPOSITE to the angle.

Therefore, we would use the trig ratio:  \(sin(\theta)=\frac{O}{H}\)

Substituting the values from the triangle:  \(sin(25)=\frac{x}{15}\)

Multiply both sides by 15:  \(15sin(25)=x\)

Therefore, \(x\) = 6.339273926...

So \(x\) = 6.34 to the nearest hundredth

High-def television sets would probably be distributed using an intensive strategy. Therefore, option B. is correct.

Intensive distribution refers to a strategy where a product is made widely available through as many outlets as possible. This strategy is typically employed for products that have high demand, are low-cost, and require extensive market coverage. In the case of high-definition television sets, they are popular consumer electronics with a significant market demand.

To determine whether intensive distribution is suitable for high-def television sets, we consider the characteristics of the product. High-definition television sets are relatively low-cost compared to other options in the market, and they are in demand by a broad range of consumers. These factors suggest that an intensive distribution strategy would be appropriate for this product.

Based on the analysis, high-def television sets would most likely be distributed using an intensive strategy. This approach would ensure broad availability and accessibility for consumers, leveraging the product's popularity and fulfilling market demand. By making these television sets widely accessible through multiple outlets, manufacturers can reach a larger customer base, maximize sales potential, and effectively compete in the consumer electronics market.

To know more about Strategy, visit

https://brainly.com/question/29081531

#SPJ11

Answer:

Step-by-step explanation:

h(4)=2w+3

4=2w+3

Collect like terms (c. I. T)

4-3=2w

1=2w

Divide both sides by 2(d.b.s)

1/2=2w/2

0.5=w

h=0.5w

Thus, the volume of the given oblique pyramid is found as 230 cu. ft.

A pyramid is a 3D polyhedron having three maybe more triangle-shaped surfaces that meet above the base and a polygonal base.

Volume of a Pyramid = 1/3 × Base Area × Height

Base Area = 1/2 * base * height

Base Area = 1/2 *12*5

Base Area = 30 sq. ft

Volume of a Pyramid = 1/3 × 30 × 23

Volume of a Pyramid = 230 cu. ft.

Thus, the volume of the given oblique pyramid is found as 230 cu. ft.

Know more about the pyramid

https://brainly.com/question/13649951

#SPJ1

Answer:

0,454

Step-by-step explanation:

= 59 + 5q = 159q - 11

= 5q - 159q = 11 + 59

= 154q = 70

= q = 70 : 154

= q = 0,454

Answer:

89/5 or 17.8

Step-by-step explanation:

(a) To find the limit as x approaches -4 of the expression (2x² - 1) / (2x - 4), we can substitute the value of x and see what the expression approaches:

lim(x→-4) [(2x² - 1) / (2x - 4)]

Substituting x = -4:

[(2(-4)² - 1) / (2(-4) - 4)] = [(-32 - 1) / (-8 - 4)] = (-33 / -12) = 11/4

Therefore, the limit as x approaches -4 is 11/4.

(b) To find the limit as x approaches 2 of the expression (2x² - 4) / (x² - 1 - 2), we can substitute the value of x and see what the expression approaches:

lim(x→2) [(2x² - 4) / (x² - 1 - 2)]

Substituting x = 2:

[(2(2)² - 4) / (2² - 1 - 2)] = [(8 - 4) / (4 - 1 - 2)] = [4 / 1] = 4

Therefore, the limit as x approaches 2 is 4.

(c) To find the limit as x approaches ±∞ of the expression (±2 + 2) / (2² - 4), we can simplify the expression and see what it approaches:

lim(x→±∞) [(±2 + 2) / (2² - 4)]

Simplifying the expression:

lim(x→±∞) [±4 / (4 - 4)]

Since the denominator is 0, we have an indeterminate form. However, if we look at the numerator, it can take two possible values: +4 and -4, depending on the sign chosen.

Therefore, the limit as x approaches ±∞ does not exist.

To learn more about limit visit:

brainly.com/question/31898552

#SPJ11

The given function is: y = 3x - 1. To determine the output for an input of -2, we need to substitute -2 for x in the equation and simplify.

Therefore: y = 3(-2) - 1y = -6 - 1y = -7Thus, the output of the function for an input of -2 is -7.An integer is a whole number that can be positive, negative, or zero, but not a fraction or a decimal. To answer this question, we have to use the formula for a linear function as given and solve it to get the answer.The formula for a linear function is:y = mx + bwhere m is the slope of the line, b is the y-intercept, and x is the independent variable.

Therefore, we can solve the problem as follows:Given:y = 3x - 1To find the output for an input of -2, we substitute -2 for x:y = 3(-2) - 1y = -7Hence, the integer that represents the output of the function for an input of -2 is -7.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ11

The expected number of hours she will need to work to earn $90 is 8 hours.

a) To earn $90, the driver needs to make $15 deliveries (since $6/delivery * 15 deliveries = $90). The time it takes to make 15 deliveries follows a Poisson distribution with a mean of 1.875 deliveries per hour * t hours = 1.875t deliveries. Therefore, we can set up the following equation to solve for t:

$15 = 1.875t

t = $15/1.875 = 8

So the expected number of hours she will need to work to earn $90 is 8 hours.

b) We are given that the proportion of orders to a Fast Food restaurant follows a Beta distribution with parameters α = 2 and β = 3. We want to find the probability that tomorrow the proportion of orders to a Fast Food restaurant is less than 30%, or equivalently, the probability that the proportion is less than 0.3. Using the Beta distribution, we can calculate this probability as follows:

P(proportion < 0.3) = P(Beta(2,3) < 0.3) ≈ 0.1464

c) To earn $60, the driver needs to make $10 deliveries (since $6/delivery * 10 deliveries = $60). The time it takes to make 10 deliveries follows a Poisson distribution with a mean of 1.875t deliveries. Therefore, we can use the Poisson distribution to calculate the probability that it takes more than 10/1.875 = 5.33 hours to make 10 deliveries:

P(time > 5.33) = 1 - P(time ≤ 5.33)

= 1 - P(X ≤ 10)

= 1 - Poisson(1.875*5.33, 10)

≈ 0.0813

So the probability that the driver will need to work more than 4 hours to earn $60 dollars is approximately 0.0813.

d) The time between deliveries follows an exponential distribution with a mean of 1/1.875 hours = 32 minutes. Therefore, the time until the first delivery of the day follows an exponential distribution with the same mean. The probability that the time until the first delivery is less than 35 minutes is:

P(time < 35) = 1 - e^(-35/32)

≈ 0.6233

So the probability that it will take less than 35 minutes for the first delivery of the day to occur is approximately 0.6233.

e) The time it takes to complete 4 deliveries follows a Gamma distribution with parameters α = 4 (since we want to complete 4 deliveries) and β = 1/1.875 (since the time between deliveries follows an exponential distribution with mean 1/1.875).

The variance of a Gamma distribution with parameters α and β is α/β^2, so the standard deviation of the time to complete 4 deliveries is:

SD = sqrt(4/(1/1.875)^2) ≈ 6.34 minutes

Therefore, the standard deviation of the number of minutes it takes to complete 4 deliveries is approximately 6.34 minutes.

To learn more about gamma, refer below:

https://brainly.com/question/31662342

#SPJ11

Answer:

True

9 * 7 = 63

Therefore when x=7 9x=63

The equation given is true since 7 is the solution.

An equation is the statement of two expressions located on two sides connected with an equal to sign.

The two sides of an equation is usually called as left hand side and right hand side.

The given equation is 9x = 63.

There is only one variable here, x.

We have to solve this equation and find whether the solution is 7 or not.

Solution of the equation is the value of x.

9x = 63

Divide both sides of the equation by 9, then, we get,

9x / 9 = 63 / 9

9 gets cancelled in the left hand side and 63/9 = 7.

So we get,

x = 7

So the given statement is true that for 9x = 63, the solution is x = 7.

Hence the given equation is true.

Learn more about Solving Equations here :

https://brainly.com/question/19297665

#SPJ2

The time taken by Linda to cover 693 miles is 11 hours.

Rate of change is the speed at which the variables changes with respect to time.

In 9 hours Linda drove 567 miles.

Miles travelled in 1 hour is,

\(speed=\frac{distance covered}{timetaken}\)------(1)

         =\(\frac{567}{9}\)

         = 63 miles per hour.

Linda drove 63 miles per hour.

She is travel in the same rate from the beginning.

Let  t be the time taken by her to travel 693 miles is,

By using (1),

\(speed=\frac{distance covered}{timetaken}\)

\(t=\frac{693}{63}\)

⇒t=11 hours.

Hence, the time taken by Linda to cover 693 miles is 11 hours.

Learn more about rate of change here:

https://brainly.com/question/16202639

#SPJ9

Annual interest rate = [(152,508 - 1,338) / 1,338] * (360 / 179)

To calculate the amount you will repay when borrowing $1,338 for 179 days, we need to use the given information that states, "You only pay $284 a day for each $500 borrowed."

First, let's calculate the daily repayment amount per $500 borrowed:

Daily repayment amount per $500 borrowed = $284

To find the daily repayment amount for $1,338, we can calculate the number of $500 increments in $1,338:

Number of $500 increments = $1,338 / $500 = 2.676

Since you cannot borrow a fraction of $500, we can round up the number of increments to the next whole number:

Number of $500 increments = 3

Now we can calculate the total daily repayment amount:

Total daily repayment amount = Daily repayment amount per $500 borrowed * Number of $500 increments

Total daily repayment amount = $284 * 3 = $852

Finally, to calculate the amount you will repay over 179 days, we multiply the total daily repayment amount by the number of days:

Amount you repay = Total daily repayment amount * Number of days

Amount you repay = $852 * 179 = $152,508

So, the amount you will repay when borrowing $1,338 for 179 days is $152,508.

To calculate the annual interest rate charged by the loan company, we can use the formula for annual interest rate:

Annual interest rate = [(Amount you repay - Principal) / Principal] * (360 / Number of days)

Principal = $1,338

Amount you repay = $152,508

Number of days = 179

360 (Assuming a 360-day year)

Plugging in the values:

Annual interest rate = [(152,508 - 1,338) / 1,338] * (360 / 179)

Calculating this gives us the annual interest rate charged by the loan company.

Learn more about interest

brainly.com/question/30393144

#SPJ11

Answer:

−7+y/3  is the same as that, but simplified.

Answer:

y/3-7

Step-by-step explanation:

The answer is the solved equation of -3+2/3y-4-1/3y.

Subtract 4 from -3 to get -7

= -7+2/3y-1/3y

Combine 2/3y and -1/3y to get 1/3y

-7+1/3, or just y/3-7.