Answer:
The predicted sales for the 4th quarter next year are 2168
Step-by-step explanation:
We formulate the given equation
Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t
Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are
Now put the values for the corresponding time period as 1,2 and 3
Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0) + 24 (1)
Y(1)= 2120 + 24 = 2144 ( for year =1)
Y(2)= 2120+ 48= 2168 ( for year =2)
Y(3)= 2120 + 72= 2192 ( for year =3)
where t is the number of years.
So for the next year the fourth quarter sales are predicted to be 2168.
The sales forecast for Quarter 3 of the next year is 2192.
What is a sales forecast?It should be noted that a sales forecast simply means an expression for the expected sales revenue.
In this case, the sales forecast for Quarter 3 of the next year will be calculated thus:
= 2120 + 24(3)
= 2120 + 72
= 2192
Therefore, sales forecast for Quarter 3 of the next year is 2192.
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a certain journey took 40 min to complete. if half of the distance was travelled at an average speed of 100 km/h and the other half at an average speed of 60 km/h, what was the total length of the journey
total time taken = 40 min
let x be the total length/ distance of the journey.
speed(v) = distance/ time
100= (1/2 x)/ time ---1
60= (1/2 x)/ time ---2
add 1 and 2
160= x/40
where 40 is the total time taken
44.44m/s= x/ 2400s (i converted the speed and time)
x = 106,656 metres = 106.656km
the total length is 106.656 km.
Let's assume the total length of the journey is "x" km. Since the journey took 40 minutes to complete, we first need to convert this time to hours, which is [tex]40/60 = 2/3 h[/tex] hours.
According to the information given, the first half of the journey was traveled at an average speed of 100 km/h, which means the distance covered during this time is (1/2)x km. The time taken for this is given by [tex](1/2)x / 100 = x/200[/tex] hours.
Similarly, the second half of the journey was traveled at an average speed of 60 km/h, which means the distance covered during this time is (1/2)x km.
The time taken for this is given by [tex](1/2)x / 60 = x/120[/tex]hours. Now, we can add the times taken for both halves, which gives us [tex]x/200 + x/120[/tex]hours [tex]= 2/3[/tex]hours. By solving this equation, we arrive at [tex]x = 240 km.[/tex]
Therefore, the total length of the journey is 240 km.
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Savannah sells character images online. Small images take one hour to make and she sells them for $15. Large images sell for $25 and take two hours to make. Each week, Savannah can work up to 20 hours making images, and she wants to earn at least $400.
Let x represent the number of small images Savannah makes in a week, and let y represent the number of large images. Which of the following systems of inequalities models the constraints of this situation?
Answer:
15x + 25y ≥ 400
x + 2y ≤ 20
x ≥ 0, y ≥ 0
Step-by-step explanation:
Here, we are modelling the total number of hours she can use in making images in a week and the total amount that can be earned in a week, considering the given constraints.
Number of small images in a week = x
Number of hrs in making images if it takes 1 hr to make 1 = 1*x = x
Number of large images in a week = y
Number of hrs in making large images if it takes 2 hrs to make 1 = 2*y = 2y
Given that she has up to 20 hrs to make the images, therefore, the inequality that models this situation would be:
x + 2y ≤ 20
This implies that, the hours spent altogether can be less than or equal to 20hrs
Amount for small images = $15
Amount in total for all images made in a week = $15*x = 15x
Amount for large images = $25
Amount in total for all images made in a week = $25*y = 25y
Given that she can earn AT LEAST $400 in a week, therefore, the inequality that models this situation would be:
15x + 25y ≥ 400
This implies that, the amount she wants to make in a week would be $400 or more.
The system of inequalities would be:
x + 2y ≤ 20
15x + 25y ≥ 400
x ≥ 0, y ≥ 0
which answer is right
Which graph represents a proportional relationship?
Cash versus accrual accounting
Newman Consulting Company maintains its records on a cash basis. During 2011 the following cash flows were recorded: cash received from customers, $420,000; and cash paid for salaries, utilities, and advertising, $240,000, $35,000, and $12,000, respectively. You also determine that customers owed the company $52,000 and $60,000 at the beginning and end of the year, respectively, and that the company owed the utility company $6,000 and $4,000 at the beginning and end of the year, respectively. Determine accrual net income for the year.
Answer:
$143,000
Step-by-step explanation:
Newman consulting company maintains its record on its cash basis
The first step is to calculate the revenue
$420,000+($60,000-$52,000)
= $420,000+$8,000
= $428,000
The expenses can be can be calculated as follows
Utilities expenses = $35,000-($6,000-$4,000)
= $35,000-$2,000
= $33,000
Advertising expenses= $12,000
Salaries expenses= $240,000
Total expenses= $240,000+$12,000+$33,000
= $285,000
Therefore the accural net income for the year can be calculated as follows
= revenue - expenses
= $428,000-$285,000
= $143,000
Hence the accrual net income for the year is $143,000
Andre’s school day is 63 hours long. He has 8 classes that are 3 hour long.
B.Evaluate your expression and show and/or explain your thinking to determine how long
Andre is not in class during the day.
Answer:
he has 8 classes 3 hours long, so 8×3 is how long he IS is class. subtract 24 from 63 and you get how long he is NOT in class. he is NOT in class for 39 hours.
Demand for bikes has suddenly increased, and the market price has risen from $50 to $60.
In three to five sentences, explain how this change will affect profits.
Answer:
profits will increase so with that being said the supply of them dropped if demand increased getting bikes will be harder for competing business in the area and so therefore if you have 200 bikes and others have 50 bikes your gonna make way more profit and for the people with 50 bikes they will gain and lose profits because when they run out of bikes they have to buy more and they are more expensive because of the demand on them
Step-by-step explanation:
The explanation regarding the change of price that impact the profits should be explained below.
Impact on profit:The profit should rise when the supply should fall. In the case when I have 200 bikes while the other should have 50 bikes so here I make more profit however the other people will gain but the profit should be lost since the bikes should be out of the stock and at the same time they need to buy more that should be more expensive due to the demand.
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in this image, what is Janelle's position relative to sea level while hiking? what should the altimeter read a this position?
Answer:
janelle is 2,015.75 ft above sea level the altimeter should read plus 2,015.75
2,015.75 ft is the Janelle's position relative to sea level while hiking and the altimeterread this position as 2,015.75.
hope this hep you
Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows: 79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8. (a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why. (b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%. (c) Calculate point estimates of the population variance and the population standard deviation. (d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error. (e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.
The mean can be used as a point estimate for the pull of force.
Using a calculator :
The mean(m) :
Σx /n = 1966/26
= 75.62 pounds
(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
To obtain this, we calculate the median:
Median = 0.5(n + 1)th term
Median = 0.5(27)th term = 13.5
Take the 13th and 14th term:
(75.1 + 75.3) / 2 = 75.2 pounds
(c) Calculate point estimates of the population variance and the population standard deviation.
Using calculator ; the variance (s²) = 2.73815
The standard deviation (s) = √variance
s = √2.73815 = 1.655
(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
Standard Error = standard deviation / √n
Standard Error = 1.655 / √26
= 0.3245
(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds
Number of Proportions less than 73 pounds / number of samples
= 1 / 26
= 0.0385
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n = 50, p = 0.97, x= 48
P(48) =
How to add/Subtract fractions With an Example and explain good
Answer:
The first example is adding fractions. The last is Subtraction.
Step-by-step explanation:
The first step is finding the LCD or Least Common Denominator. In this case, we multiply both denominators by each other 2 x 3 = 6 before we proceed.
Secondly, we multiply the bottom denominator on the right (which is three) and multiply it by numerator and denominator on the left.
[tex]\frac{1}{2}[/tex] x 3= Multiply the numerator and denominator and you should get this
[tex]\frac{3}{6}[/tex]
Next multiply [tex]\frac{1}{3}[/tex] by 2. You should get [tex]\frac{2}{6}[/tex]
The final step is just to add the numbers on the very top. You should get [tex]\frac{5}{6}[/tex]
*Also note, pay attention to your question. Some may require decimal form or simplification.
1. [tex]\frac{1}{2} + \frac{1}{3} = \frac{5}{6}[/tex]
2. [tex]\frac{3}{6}[/tex] +[tex]\frac{2}{6}[/tex] = [tex]\frac{5}{6}[/tex]
3. The answer is [tex]\frac{5}{6}[/tex]
_________________________________________
The next example is subtraction.
Find the LCD.
Next, start by multiplying [tex]\frac{3}{5}[/tex] by 3. Penultimately, multiply [tex]\frac{1}{3}[/tex] by 5. Finally, subtract 9-5 to get 4. The answer should be [tex]\frac{4}{15}[/tex]
1. [tex]\frac{3}{5} - \frac{1}{3}[/tex]
2. [tex]\frac{9}{15}[/tex] - [tex]\frac{5}{15}[/tex] = [tex]\frac{4}{15}[/tex]
2. Which statement is represented by the equation 4 * 9 - 36?
a 36 is 4 more than 9.
b. 36 is 9 times as many as 4.
o. 9 is 4 less than 36.
d. 9 is 36 less than 4.
Cherry cuts 6 pieces of tape, each 4/5 m long ,from a roll of tape 5m long . How many meters of tape are left in the roll?
The meters of tape left in the roll will be equal to 1/5 meters.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the information given in the question,
The total length of Tape = 5 m
Total number of pieces = 6
Length of each piece = 4/5 m
Then, the total length of the pieces will be,
6 × 4/5
= 24/5
Then, the amount of tape left in the roll will be,
= 5 - 24/5
= (25 - 24)/5
= 1/5
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Given: -7(x+2)+4x=6(2x-4) prove: x=2/3
Answer:
2/3
Step-by-step explanation:
multipy (X+2) by 7 the you multiply (2x-4) by 6 I.e
-7×X- (-7×2)+4x=6×2x-6×4
-7x-14+4x=12x-24
collect like terms
-7x+4x-12x=-24+14
-15x=10
divide both side by -15, so that X can stand alone
-15x/-15=-10/-15
-15 cancels -15, minus cancels minus
X=10/15
X=2/3
What is the y-intercept of the graph of the equation 2x+3y=7
Answer:
See below. Explanation: Remember that slope intercept form is y=mx+b where m is slope and b is the y intercept.
Find the value of 5x-2 given that --3x+6=3.
Simplify your answer as much as possible.
Answer:
-37
Step-by-step explanation:
-3x/-3=x
3/-3=-1
-1-6=-7
x=-7
5(-7)=-35
-35-2=-37
A 2 3/4 inch candle burns down in 11 hours. At what rate does the candle burn, in inches per hour?
Answer:
1/4 or or 0.25
1Step-by-step explanation:
just do 2.75 divided by 11 and you get your answer
At rate 0.25 inch per hour the candle burn.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A 2 3/4 inch candle burns down in 11 hours.
Now,
Since, A 2 3/4 inch candle burns down in 11 hours.
Hence, The rate in which the candle burn, in inches per hour is;
= [tex]2 \frac{3}{4}[/tex] ÷ [tex]11[/tex]
= 11/4 ÷ 11
= 11/4 x 1/11
= 1/4 inches per hour.
Thus, At rate 0.25 inch per hour the candle burn.
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Helpp? Please! What’s the area of this triangle?
ES LA B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I need help!! Select all that apply
Answer: #1 . #2 #4
Step-by-step explanation:
cuz i know
if the total angle of a triangle is 180 A- 43 1/2 B-5x C-26.5 and the started value is 20 what is X?
Answer:
x= 20.05 degree
180= 43.25+36.50+5x
180= 79.75+5x
5x=180-79.75
5x=100.25
x=20.25
ANGLE B= 100.25
How tall would the building be
Answer:
18
Step-by-step explanation:
1. Create the ratio 12:9
The first number in the ratio is where the length of the shadow will go. The second number is where the length of the building will go.
2. Subtract 21 by 12 to find out how much we have to add to 9. (21-12=9)
3. Add 9 to 9. (18)
We now have 21:18.
01 L1 - Perimeter Word Problems
Cooper, Sha Niya
11
1 of
A piece of Plexiglas has a width which is 5 centimeters shorter than its length. What represents the area of the Plexiglas, in terms of its length (L)?
Answer: x*(x-5)
Step-by-step explanation:
Plexiglass is a cuboid
which means that the area would be l*w
in the question it states that the width is 5 cm shorter than the length
since we dont know the values
we represent them as x
so using l*w
we write x*(x-5)
SKILL
Given that one side of an equilateral triangle is 16, what is the area of the triangle?
Answer:
approximately 55.43 or [tex]4\sqrt{192}[/tex]
Step-by-step explanation:
1) draw line down middle of said triangle and split it in half
2) since the area of the triangle is 1/2 b * h we can solve
3) we know that the base is 8 (16 split in 1/2)
4) use the Pythagorean theorem (a^2 +b^2 = c^2) to solve for the height
5) a= 8 b= ? c= 16
6) 16^2=256 8^2= 64 256-64=b^2
7) b=[tex]\sqrt{192}[/tex]
8) [tex]\frac{1}{2} *\sqrt{192} *8= 4\sqrt{192}[/tex] or approximately 55.43
You can check by substituting the numbers back into the Pythagorean theorem and see if they match up
I need help with thisssssssssssssssss
9514 1404 393
Answer:
(a) 90°, 90°
(b) 5, 1
(c) 10°, 20°
(d) 10°, 20°, 150°
Step-by-step explanation:
You need to consider ways in which each statement might not apply.
(a) An obtuse angle is greater than 90°. If both angles are 90°, then neither is obtuse.
counterexample: m∠1 = 90°, m∠2 = 90°
__
(b) If the perimeter is 12, the sum of the side lengths must be 6. There are many ways to get two numbers that have a sum of 6. Here's one:
counterexample: length = 5, width = 1
__
(c) All that is required is that the sum of angles be 30°. They don't have to be equal.
counterexample: m∠ABC = 10°, m∠CBD = 20°
__
(d) We know the three angles of a triangle have a sum of 180°, but that does not require it to be an acute triangle. A triangle can also be right or obtuse.
counterexample: m∠P = 10°, m∠Q = 20°, m∠R = 150°
if the mean of a negatively skewed distribution is 40 which of these values could be the median of the distribution
a.35
b.50
c.40
d.45
Answer:
c.40
plz mark brainliest if helpful
Jamal has some baseball cards, and his brother has 1/3 as many as Jamal. Together, they have 36. How many cards does Jamal have?
Answer:
27 cards
Step-by-step explanation:
We write the equation:
J + (1/3 x J) = 36
4/3 x J = 36
J = 36 x 3/4 = 27
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of . Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of . The value of the mean is 12 peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is nothing peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of nothing peas or fewer are significantly low. (Round to one decimal place as needed.) Values of nothing peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of peas with green pods a result that is significantly low? Why or why not? The result ▼ is is not significantly low, because peas with green pods is ▼ less than greater than equal to nothing peas. (Round to one decimal place as needed.)
Answer:
hello some parts of your question is missing below is the complete question
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 36
.a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 36
The value of the mean is
μ=___ peas.
The value of the standard deviation is
σ=___peas.
b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.
Values of ___ peas or fewer are significantly low.
Values of ___ peas or greater are significantly high.
c. Is a result of 2 peas with green pods a result that is significantly low? Why or why not?
The result (is, is not) significantly low, because 2 peas with green pods is (greater than, equal to, less than) peas.
Answer : A) mean : 9, std = 2.6
B) significantly low value : = 3.8, significantly high value = 14.2
C ) From the significant low value it can be observed that the result is very low because 2 peas with green pods < 3.8 peas with green pods
Step-by-step explanation:
given data :
probability ( p )= 0.25
number of groups ( n )= 36
A ) i) Mean of the of the peas ( u )
u = np = 36 * 0.25 = 9
ii) standard deviation of the peas ( б ) = [tex]\sqrt{np(1-p)} = \sqrt{9(1-0.25)}[/tex] = 2.60
B) Using the range rule of thumb to find the values separating results that are significantly low or significantly high.
note : assuming z = 2 and error = 5%
i) The values that are significantly lower
u - zб = 9 - (2*2.6 )
= 3.8
ii) The values that are significantly higher
u + zб = 9 + (2*2.6)
= 14.2
C ) From the significant low value it can be observed that the result is very low because 2 peas with green pods < 3.8 peas with green pods
Assume a recent sociological report states that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101. Suppose Jason, a policy manager at a local university, decides to take a random sample of 125 university students to survey them about their drinking habits. Determine the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption. Provide your answer with precision to two decimal places.
Answer:
4.10
0.17
Step-by-step explanation:
From the question, we know that
A recent sociological report stated that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101.
Also, we're tasked with finding the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption.
To find the mean of the sampling distribution, we take the sample mean of the same of that university students as a direct substitute. This then means that the mean of the sampling distribution of the sample mean alcohol consumption is 4.10 alcoholic drinks per week on average.
On the other hand, the standard deviation of the sampling distribution of the sample mean alcohol consumption is taken to be the division of the standard deviation of the sample mean. Mathematically, we have
Standard Deviation, S = 1.9101 / √125
Standard Deviation, S = 1.9101 / 11.18
Standard Deviation, S = 0.17
Therefore, the Standard Deviation is 0.17
Answer:
The values are
[tex]\mu_{\= x } = \mu = 4.10[/tex]
And
[tex]\sigma _{\= x} = 0.38202[/tex]
Step-by-step explanation:
The population mean is [tex]\mu = 4.10[/tex]
The standard deviation is [tex]\sigma = 1.9101[/tex]
The sample size is n = 125 students
Generally the mean of the sampling distribution of the sample mean is equivalent to the population mean
i.e [tex]\mu_{\= x } = \mu = 4.10[/tex]
Generally the standard deviation of the sampling distribution of the sample mean alcohol consumption is mathematically represented as
[tex]\sigma _{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma _{\= x} = \frac{1.9101 }{\sqrt{125} }[/tex]
=> [tex]\sigma _{\= x} = 0.38202[/tex]
A certain car has a fuel efficiency of 55 miles per gallon when travelling at 70 miles per hour. How many miles will the car travel using 3 gallons?
9514 1404 393
Answer:
165 miles
Step-by-step explanation:
miles = miles/gallon × gallons
(55 mi/gal) × (3 gal) = 165 mil
The car will travel 165 miles on 3 gallons.
Refer to the figure. Which Theorem guarantees L and M are parallel
Answer:
alternate exterior angles converse
Given the functions:
f(x) = x2 - 9, and g(x) = x3 + 4x² + 8x – 7, find h(x) = f(x) + g(x).
h(x) = - x3 +5x2 + 8x - 16
h(x) = x3 + 3x² + 8x + 2
h(x) = x3 + 5x² + 8x – 16
h(x) = -x3 - 3x2 – 8x - 2
h(x) = -x3 + 3x2+8x+2
Answer: h(x)=x³+5x²+8x-16
Step-by-step explanation:
In this problem, we are given f(x) and g(x). The problem asks to find h(x)=f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.
h(x)=x²-9+x³+4x²+8x-7 [combine like terms]
h(x)=x³+5x²+8x-16
Now, we know that h(x)=x³+5x²+8x-16 after we have combined like terms.
