Answer:- $0.75 per kg and $0.50 per kg
let the price of sugar and rice be X and y respectively.
now ,
according to question,
3x + 2y = 3.25 $_____eq.(I)
2x + 2y = 2.50 $______eq.(II)
subtracting eq(II) from eq(I) , we get
2y will be cancelled and remains
X = 0.75 $
therefore , the price of sugar = 0.75 $ per kg.
and
substituting X = 0.75 in eq.(II) , we get
2*0.75 + 2* Y = 2.50
or, 2Y = 2.50- 1.50
or,. Y = 1/2= 0.5
hence , the price of rice is 0.5 $ per gram.
Please help lots of points image explains everything thank you
Answer:
1050 miles (I think)
Step-by-step explanation:
hope the picture helps
suppose the number of customers visiting a shoe store follows a poisson process with a rate of 70 per day. assume 45 percent of customers make a purchase. the amount spent by a paying customer follows an exponential distribution with a mean of $120. the two distributions are independent. what is the standard deviation of the total sales per day for the shoe store?
The standard deviation of the total sales per day for the shoe store is approximately $1743.28.
To find the standard deviation of the total sales per day for the shoe store, we need to first find the mean and variance of the total sales.
The number of customers visiting the store follows a Poisson distribution with a rate of 70 per day. Let X be the number of customers per day, then X ~ Poisson(70).
The proportion of customers that make a purchase is 45%. Let Y be the number of customers that make a purchase, then Y ~ Binomial(X, 0.45).
The amount spent by a paying customer follows an exponential distribution with a mean of $120. Let Z be the amount spent by a paying customer, then Z ~ Exp(1/120).
Now, let's find the mean and variance of the total sales per day.
E[XY] = E[E[XY|X]] = E[X * 0.45] = 70 * 0.45 = 31.5
E[Z] = 120
E[XYZ] = E[E[XYZ|XY]] = E[XY * 120] = 31.5 * 120 = 3780
Var(XY) = E[Var(XY|X)] + Var(E[XY|X]) = E[X * 0.45 * 0.55] + Var(X * 0.45) = 70 * 0.45 * 0.55 + 70 * 0.45 * 0.55 = 17.325
Var(Z) = 120^2
Var(XYZ) = E[Var(XYZ|XY)] + Var(E[XYZ|XY]) = E[XY * 120^2] + Var(XY * 120) = 31.5 * 120^2 + 17.325 * 120^2 = 3035250
Therefore, the variance of the total sales per day is Var(XYZ) = 3035250.
The standard deviation of the total sales per day is the square root of the variance:
SD(XYZ) = sqrt(3035250) = 1743.28
Therefore, the standard deviation of the total sales per day for the shoe store is approximately $1743.28.
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Enter the absolute value of the number as a mixed number in simplest form.
−2
5
11
The absolute value of the number is
Answer:
a distance and 2
Step-by-step explanation:
That is the answer. :)
juan owns 7 pairs of pants, 5 shirts, 6 ties, and 8 jackets. how many different outfits can he wear to school if he must wear one of each item?
Answer: I believe he could wear 768 outfits
Step-by-step explanation: I had a similar question consisting of the same numbers.
Given the formula C = 5(f-32)/9, find the value of C if F is 68
Answer:
Step-by-step explanation:
C = 5(68 - 32)/9
= 5(36)/9
= 180/9 = 20
C = 20
Moving to another question will save this response. Assume the following information about the company C: The pre-tax cost of debt 2% The tax rate 24%. The debt represents 10% of total capital and The cost of equity re-6%, The cost of capital WACC is equal to: 13,46% 6,12% 5,55% 6,63%
The weighted average cost of capital (WACC) for company C is 6.63%.
What is the weighted average cost of capital (WACC) for company C?The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.
To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.
The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.
The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.
WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)
In this case, the calculation is as follows:
WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%
Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.
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A pair of dice is rolled. Find the probability of rolling
a) a sum not more than 7,
b) a sum not less than 8
c) a sum between 6 and 10 (exclusive)
a) Probability (sum not more than 7) = 7/12.
b) P(sum not less than 8) = 5/12.
c) P(sum between 6 and 10) = 7/18.
Here, we have,
we know that,
In the case of rolling a pair of dice, each die has 6 sides numbered from 1 to 6.
To find the total number of outcomes, we multiply the number of possibilities for each die: 6 × 6 = 36.
a) Probability of rolling a sum not more than 7:
The favorable outcomes are the combinations that result in a sum of 7 or less.
We can list these combinations:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (5, 1), (5, 2), (6, 1).
There are 21 favorable outcomes.
Therefore, the probability of rolling a sum not more than 7 is:
P(sum not more than 7) = 21/36 = 7/12.
b) Probability of rolling a sum not less than 8:
The favorable outcomes are the combinations that result in a sum of 8 or more.
We can list these combinations:
(2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6).
There are 15 favorable outcomes.
Therefore, the probability of rolling a sum not less than 8 is:
P(sum not less than 8) = 15/36 = 5/12.
c) Probability of rolling a sum between 6 and 10 (exclusive):
The favorable outcomes are the combinations that result in a sum greater than 6 but less than 10.
We can list these combinations:
(2, 5), (3, 4), (3, 5), (4, 2), (4, 3), (4, 4), (5, 2), (5, 3), (5, 4), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5).
There are 14 favorable outcomes.
Therefore, the probability of rolling a sum between 6 and 10 (exclusive) is:
P(sum between 6 and 10) = 14/36 = 7/18.
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Please help I’m not really good at this
A rational number is a number of the form such that p and q are integers.
Answer : If the temperature decreases by x degrees per day for y days
STEP BY STEP EXPLANATION : Consider a situation: if the temperature decreases by x degrees per day for y days
Temperature decreases by degrees is denoed by .
Therefore,
Total decrease in temperature in days is denoted by .
So, this situation could be solved using the product of , where represents a negative value
Given n bits, how many unsigned integers can be represented with the n bits? what is the range of these integers?
2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.
What are integers?An integer is a whole number (rather than a fraction) that can be positive, negative, or zero. Integer examples include -5, 1, 5, 8, 97, and 3,043. Numbers that are not integers include: -1.43, 1 3/4, 3.14,.09, and 5,643.1. There are three kinds of integers: Zero (0) Integers that are positive (Natural numbers) Integers that are negative (Additive inverse of Natural Numbers).So, if n bits are given then 2ⁿ integers can be represented.
And the range is the difference between the largest number by the smallest number. So, the range of 2ⁿ integers will be from 0 to (2ⁿ) -1.
Therefore, 2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.
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Below are two parallel lines with a third line intersecting them.
34°
Answer:
x = 34°
Step-by-step explanation:
corresponding angles made by a transversal intersecting parallel lines are congruent.
Please help me!!! I will mark as BRAINLIEST!!!
Answer:
Step-by-step explanation:
The answer is for the 20th figure is not 400.
Because if we see the pictures
1=4, 2=9, 3=16, so the 20th figure would be 450 small square.
How far apart are southville and westfield if southville is 57 mi due south of portland and westfield is 76 mi due west of portland?.
The Answer is 95 miles using distance rule of maths.
What is distance in math?
As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.
So if we mark their position in x-y plane. one is not x line and another one is in y line.
So the coordinates of the points are (57,0) and (0,76)
The distance between them is √(y²+x²)
= √(57²+76²)
=√ (3249 + 5776)
= 95 miles
Hence the distance between them is 95 miles.
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Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 â€"" 22x2 â€"" 9x 33. Her work is shown. Step 1: (6x3 â€"" 22x2) â€"" (9x 33) Step 2: 2x2(3x â€"" 11) â€"" 3(3x 11) Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next? Marisol should realize that her work shows that the polynomial is prime. Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) â€"" (9x â€"" 33). Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) (9x â€"" 33). Marisol should refactor the expression in Step 2 as 2x2(3x 11) â€"" 3(3x 11).
The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.
Given that,Marisol grouped the terms and factored the GCF out of the groups of the polynomial \(\rm 6x^3- 22x^2- 9x + 33\).
We have to find,To factor out the common GCF out of the group, the following steps should have been taken by Marisol.
According to the question,Marisol grouped the terms and factored the GCF out of the groups of the,
Polynomial; \(\rm 6x^3- 22x^2- 9x + 33\).To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.
Step1: Regroup into parts using parenthesis and taking the negative sign common,\(\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)\)
Step2; Firstly find out the common terms and rewrite the equation,\(= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)\)
Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).
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find the mean absolute deviation
Follow these procedures to calculate the mean absolute deviation.
1. Determine the data's mean by adding all of the values and dividing by the number of values in the data set.
2. Subtract the mean from each of the data points.
3. Make each difference a good one.
4. Add up all of the positive differences.
5. Subtract this total from the amount of data values in the collection.
This is the mean absolute deviation.
What is mean absolute deviation?A data set's average absolute deviation is the sum of its absolute departures from a central point. It is a statistical dispersion or variability summary statistic.
The average distance between the values in a data collection and the set's mean is described by mean absolute deviation. A data collection with a mean average deviation of 3.2, for example, has values that are 3.2 units away from the mean on average.
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An arrow is shot directly upward vertically from the top of a 120 ft tall building with an initial velocity of 95 ft/s .The position, s in feet, of the arrow above the ground after t seconds is given by the position function s(t)= -16t²+95t+120. How long will it take for the object to hit the ground?
The amount of time it takes for this arrow to hit the ground is equal to 7.01 seconds.
How long will it take for the object to hit the ground?Based on the information provided, we can logically deduce that the height (h) in meters, of this arrow above the ground is related to time by the following quadratic function:
h(t) = - 4.9t² + 30.5t + 9.3.
Generally speaking, the height of this arrow would be equal to zero (0) when it strikes the ground. Therefore, we would equate the height function to zero (0) as follows:
s(t) = -16t² + 95t + 120.
0 = -16t² + 95t + 120.
16t² - 95t - 120.
Next, we would solve the quadratic equation by using the quadratic formula:
\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-(-95)\; \pm \;\sqrt{(-95)^2 - 4(16)(-120)}}{2(16)}\)
Time, x = (95 ± √16705)/32
Time, x = (30.5 + 129.2478)/32
Time, x = 7.007 ≈ 7.01 seconds.
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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, what is the linear speed of the car in miles per hour? Round your answer to the nearest tenth.
Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:
Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep
4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3
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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.
To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:
Calculate the circumference of the wheel:
The circumference of a circle is given by the formula
C = 2πr
where r is the radius of the wheel.
In this case, the radius is 30 inches, so the circumference is
C = 2π(30)
= 60π inches.
Calculate the distance traveled in one revolution:
Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.
Calculate the distance traveled in one minute:
Multiply the distance traveled in one revolution by the number of revolutions per minute.
In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.
Convert the distance to miles per hour:
There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.
Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.
The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.
Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.
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Factor the expression completely by first taking out a common factor
3x^2 + 27x + 24
Answer:
=3(x+8)(x+1)
Step-by-step explanation:
3(x^2+9x+8)
3(x^2+8x+1x+8)
3[(x^2+8x)+(1x+8)]
3[x(x+8)+1(x+8)]
=3(x+8)(x+1)
A fixed ratio schedule provides reinforcement for a response only if a fixed time period has elapsed. true or false?
False. A fixed ratio schedule provides reinforcement for a response after a fixed number of responses, not based on a fixed time period.
A fixed ratio schedule provides reinforcement for a response only after a fixed number of responses have been made, not after a fixed time period has elapsed. In contrast, a fixed interval schedule provides reinforcement for a response after a fixed time period has elapsed.
Planning examples include support after certain responses have been submitted. The term flat rate is calculated using a fixed response. For example, if the rabbit were to get stronger when the force was pulled exactly five times, it would get stronger in time FR 5.
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A brand of uncooked spaghetti comes in a box that is a rectangular prism with the length of 8 inches width of 2 inches and the height of 1 1/2 inches what is the surface area
Answer:
176
Step-by-step explanation:
The length of the rectangle is 9 inches. The area is 72 square inches. What is the width of the rectangle?
Answer:
8
Step-by-step explanation:
Formula for area = Length times width
72 divided by 9 = 8
Double check: 9(length) x 8 (width) = 72 (area).
Width = 8 inches
Hope this helped! If it did, please give brainliest! :)
The width of the rectangle is 8 inches.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
We are given that the length of the rectangle is 9 inches. The area is 72 square inches.
Formula for area = Length x width
72 = 9 x w
w =72 / 9
w = 8
Hence, Width = 8 inches
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dr. sue is examining how consumption of drug f influences the driving ability of college students. she gives the active drug to one group and a placebo (a sugar pill) to another group and counts the number of errors they make on a simulated driving test. what is the dependent variable in dr. sue’s study? group of answer choices
The dependent variable in her study is the College students,Driving ability,Number of errors on the simulated driving test
After altering the independent variable, you document the dependent variable. You use this measurement data to conduct statistical analyses to determine how much and to what level your independent variable predicts the dependent variable.
Based on your observations, you can predict the extent to which changes in your independent variable cause changes in your dependent variable. You can also forecast how your dependent variable will start changing as the independent variable varies.
Therefore, The dependent variable in her study is the College students,Driving ability,Number of errors on the simulated driving test.
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The ratio of blue pens to black pens in a box is 3:5 what fraction of the pens are black
Answer:
5/8
Step-by-step explanation:
3+5=8
there are 8 parts altogether
5/8
i hope i helped<3
Find the probability of z occurring in the indicated region of the standard normal distribution. If convenient, use technology to find the probability.
(FIGURE CAN'T COPY)
The probability of z occurring in the indicated region of the normal distribution is given as follows:
0.0401 = 4.01%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.In this problem, the probability is of an outcome greater than Z = 1.75, hence it is one subtracted by the p-value of Z = 1.75, hence:
1 - 0.9599 = 0.0401 = 4.01%.
As the p-value of Z = 1.75 is of 0.9599, from the z-table.
Missing InformationThe problem is given by the image shown at the end of the answer.
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On Saturday Lukas drove 4x - 5z On Sunday he drove 3x - 10. What is the difference in miles driven??
* forget the B i don’t know if it’s the correct answer
Answer:
The right answer is: Option C: x+5
Step-by-step explanation:
Let m1 be the miles Lukas drove on Saturday and Let m2 be the miles he drove on Sunday
\(m_1 = 4x-5\\m_2 = 3x-10\)
The difference can be found out by subtracting m2 from m1
minus sign will be distributed into the bracket and alike terms will be added or subtracted according to sign.
\(m_1 - m_2 = 4x-5 - (3x-10)\\= 4x-5-3x+10\\= x+5\)
The difference of miles driven is: x+5
Hence,
The right answer is: Option C: x+5
Which value of x makes this equation true? –5(– 20 ) = 35
A. -11
B. -3
C. 13
D. 27
Answer:
c
Step-by-step explanation:
its right
Answer:
C. 13
Step-by-step explanation:
-5( 13 - 20 ) = 35
-5( -7) = 35
35 = 35
Hope this helps!
jada has a coin jar containing nickles and dimes worth a total of 3.65. the equation 0.05n+0.1d+3.65 is one way to represent this situation. which equation is equivalent to the equation 0.05n + 0.1d+3.65.
The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.
The equivalent equation 0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:
100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365
Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:
5n + 10d = 365
Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.
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A truckload of Kurt's Dirt sells for $120, but you are able to get a truckload for $90. Find the discount and the rate of discount.
The discount is $30 and the rate of discount for the truckload of Kurt's Dirt selling for $120 but bought for $90 is 25%.
What is the discount rate?The discount rate refers to the percentage of price reduction offered to retail customers.
To compute the discount rate, we first determine the amount of discount. Then the result is expressed as a percentage of the initial price before the discount.
The selling price of a truckload of Kurt's Dirt = $120
The discounted price = $90
The amount of discount = $30 ($120 - $90)
Discount rate = 25% ($30/$120 x 100).
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it took elijah 2.4 hours to run 13.8 miles. how many miles did he run each hour if he maintained a constant speed?
Step-by-step explanation:
Elijah runs at constant speed
2.4 hours -----------> 13.8 miles
1 hour ---------------> 13.8/2.4
1 hour ---------------> 5.75 miles
Elijah run 5.75 miles in each hour at constant speed
Convert each of the following fractions into a decimals
a) .25
b) .6
c) .875
d) 3.3125
e) .06
f) 19.425
There are five roses in a vase of 14 flowers the rest are daisies. What is the ratio of daisies to roses
The ratio of daisies to roses in the vase which contains 14 flowers is; 9 : 5.
Evidently, the vase of flowers contains only 2 kinds of flowers namely;
Roses andDaisiesAccording to the question, there are 5 roses and the rest are daisies.
Therefore, the number of daisies is;
14 - 5 = 9.
As such, there are 5 roses and 9 daisies in the flower vase.
Therefore, the ratio of daisies to roses is;
9 : 5
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