Answer:
45 bags
Step-by-step explanation:
Answer:
the answer is 45 bags
Step-by-step explanation:
840 divided by 19 is 44 r 4
Find the midpoint of the line segment with end coordinates of: ( − 2 , − 4 ) and ( − 1 , − 5 ) Give coordinates as decimals where appropriate.
Answer:
Step-by-step explanation:
Given: Points = ( -2 ,-4) and ( -1 , -5 ).
To Find: Mid-Point of line segment joining them.
Solution:
The end points of line segment are (− 1 , − 6 ) and ( 4 , 5 ).
Midpoint =
{(x+x1)/2, (y+y1)/2}
= {(-2 + -1)/2 , (-4+ -5)/2 }
= (-1.5, -4.5)
= (-1.5, -4.5)
Triangle OMG has vertices 0(3,3), M(4,9), and G(10,2), Classify OMG as acute, right, or
obtuse.
Triangle OMG is a right angled triangle
What are Triangles?Triangle is a shape with 3 sides and 3 angles
Given the vertices of triangle OMG as O(3,3), M(4,9), and G(10,2),To determine whether the triangle is acute, right, or obtuse, from the coordinate point, we can see that the x and y coordinate of one of the vertices are the same, this is an indication that the triangle is right triangle.
In conclusion, triangle OMG is a right angled triangle
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The time it takes to install a certain hardware is random. A technician installs this hardware on 64 computers with the average installation time being 42 minutes and the standard deviation of the times being 5 minutes. What is a 90% confidence interval for the popu
Answer:
\(40.97<\mu<43.03\)
Step-by-step explanation:
Th formula for calculating the confidence interval of a population is expressed as shown;
CI = xbar ± Z*S/√n where;
xbar is the mean or average sample
Z is the z-score at 90% confidence
S is the standard deviation
n is the sample size
Given parameters
xbar = 42
Z at 90% CI = 1.645
S = 5
n = 64
Substituting the values into the formula will give;
CI = 42±(1.645*5/√64)
CI = 42±(1.645*5/8)
CI = 42±(1.645*0.625)
CI = 42±1.028125
CI = (42-1.028125, 42+1.028125)
CI = (40.971875, 43.028125)
Hence the 90% confidence interval for the population is approximately (40.97, 43.03) i.e \(40.97<\mu<43.03\)
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the equation in point-slope form of the line that passes through the points (-3, -1) and (2, 9)?
y-1 = 2(x+3)
y-9=2(x-2)
y+9=2(x-2)
y-1= 2(x-3)
Answer:
\(\textsf{B)} \quad y-9=2(x-2)\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{9cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}\)
Given points:
(-3, -1)(2, 9)Substitute the given points into the slope formula to find the slope of the line:
\(\implies m=\dfrac{9-(-1)}{2-(-3)}=\dfrac{10}{5}=2\)
\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)
Substitute the found slope and point (-3, -1) into the point-slope formula:
\(\implies y-(-1)=2(x-(-3))\)
\(\implies y+1=2(x+3)\)
Substitute the found slope and point (2, 9) into the point-slope formula:
\(\implies y-9=2(x-2)\)
Therefore, the correct answer option is:
\(\textsf{B)} \quad y-9=2(x-2)\)
Can someone answer theese 3 questions
Answer:
Which three questions?
Step-by-step explanation:
I've answered this first question, I guess I need two more...
Express the area of the entire rectangle
Answer:
21x^4+56x^3+49x^2
Step-by-step explanation:
You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3
In 2020 there were 18,700 students at college a with a projected enrollment increase of 500 students per year in the same year there were 26,200 soon as a College been with a projected enrollment decline of 1000 students per year according to these projections when will the colleges have the same enrollment what will be the Roman each college at that time
In 5 years from 2020, the two colleges will have the same enrollment and At that time, both colleges will have an enrollment of 21,200 students.
To determine when the two colleges will have the same enrollment, we can set up an equation based on the given information.
Let's assume "x" represents the number of years from 2020.
For College A, the projected enrollment can be expressed as:
Enrollment_A = 18,700 + 500x
For College B, the projected enrollment can be expressed as:
Enrollment_B = 26,200 - 1000x
To find when the two enrollments will be equal, we set Enrollment_A equal to Enrollment_B and solve for "x":
18,700 + 500x = 26,200 - 1000x
Combining like terms:
1500x = 7,500
Dividing both sides by 1500:
x = 5
Therefore, in 5 years from 2020, the two colleges will have the same enrollment.
To find the enrollment at that time, we substitute "x = 5" into either of the enrollment equations. Let's use Enrollment_A:
Enrollment_A = 18,700 + 500(5)
Enrollment_A = 18,700 + 2500
Enrollment_A = 21,200
At that time, both colleges will have an enrollment of 21,200 students.
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According to the key of a park map, every 5 inches-
on the map represents 3 miles of trails in the park.
How many inches on the map represents 12 miles on
the park trails?
Answer: 20 inches
Step-by-step explanation: Let's quickly create some equations to represent what's going on. We can say i are inches and m are miles. Then, 5i=3m because 5 inches represents 3 miles.
5i=3m
5/3i=1m One mile represents 5/3 of an inch/
12(5/3i)=12m We multiply by 12 since we want to know what 12 miles are
60/3i=12m=20i 12 miles is equal to 20 inches
Hope this helps! For practice, if 10 inches represented half a mile on a map, how many feet are represented by 36 miles?
A line with a slope of 3 passes through the points (-10, z) and (-8, 8). What is the value of
z?
Z=?
Answer:
z=2
Step-by-step explanation:
We are given that a line has a slope of 3.
The line passes through the points (-10, z) and (-8, 8)
We want to find the value of z.
To do that, we can calculate the slope.
The slope can be calculated using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points
Even though we already have 2 points, let's label their values to avoid any confusion.
\(x_1=-10\\y_1=z\\x_2=-8\\y_2=8\)
Now substitute those values into the formula, and set it equal to 3. Remember that the formula uses subtraction.
\(\frac{8-z}{-8--10}\) = 3
We can simplify this first.
\(\frac{8-z}{-8+10}\) = 3
\(\frac{8-z}{2}\) = 3
We can multiply both sides by 2 to clear the fraction and make it easier to calculate.
2(\(\frac{8-z}{2}\)) = 2(3)
Multiply.
8 - z = 6
Subtract 8 from both sides
-z = - 2
Multiply both sides by -1.
-1(-z) = -1(-2)
Multiply.
z = 2
En la ciudad de trujillo se determinó que el 46% de la población ne llee la revista A, que el 60% ne lee la revista B y el 58% lee A o B pero no ambas. Si 63000 personas leen A y B.¿Cuántas personas hay en Trujillo?
Answer: Para resolver el ejercicio se plantea un diagrama de conjuntos, en el
cual se representan un conjunto A y B ( Ver dibujo adjunto ) .
b +x = 46% a + x = 60% a + b = 58%
Al sumar las dos ecuaciones :
b + x = 46%
a + x= 60%
--------------------------
a + b +2x = 106%
58% + 2x = 106%
2x = 106% - 58%
2x = 48%
x = 48%/2
x = 24% no leen ninguna de las dos revistas
c = 63000 personas que leen A y B
se llama al total de personas y :
y * 18% = 63000 personas
y = 63000 / 18%
y = 63000/0.18 = 350000 son las personas hay en Trujillo
You insure your home for $125,000. You want to be safe and add coverage on the contents, so you take 55% on the contents. How much coverage will you have on the contents of your home?
The amount of coverage that you will have on the contents of your home would be = $68,750
How to calculate the amount of coverage for contents of your home?The total amount of money that was insured for the house = $125,000
The percentage of insurance that was left for the contents of the house = 55% of insurance.
That is;
= 55/100 × $125,000
= 6875000/100
= $68,750.
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How many schools have fewer than 50 classrooms
Answer:
7 schools have fewer than 50 classrooms.
plsss hurry Solve the application problem. Find the perimeter of a pantry shelf that measures 3 yards by 5/8 yard.
A. 1 7/8 yd
B. 7 1/4 yd^2
C. 1 7/8 yd^2
D. 7 1/4 yd
Segment AE shown has length of sqrt 20. Which segment is closest in length to sqrt 10?
Segment C has a length of √10, which is the closest to √10 compared to the other segments.
What is Segment?Segment is a customer data platform (CDP) that enables companies to collect, store, and analyze customer data from multiple sources. It helps companies build customer profiles and create personalized experiences for their customers. Segment allows businesses to track website visits, user actions, and other events in real-time, as well as to create custom events and store customer data in a secure and unified data warehouse. With Segment, companies can create powerful customer segmentation, which allows them to target customers with personalized messages and offers. Segment also integrates with various marketing, analytics, and CRM tools to provide a complete picture of customer behavior. It enables companies to build cohesive customer journeys, run campaigns, and optimize their customer experience.
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Complete Question.
Most sports drinks contain minerals. Research shows that the most effective sports drink has a magnesium to calcium ratio of 1: 2. The body absorbs about 87% of magnesium in a drink, and about 44% of calcium in a drink.
One serving of a particular sports drink contains
about 96 mg of calcium and 48 mg of magnesium. About how many milligrams of each mineral will the body absorb?
Answer:
41 mg magnesium
42 mg calcium
Step-by-step explanation:
87% of magnesium; 48 mg of magnesium
44% of calcium; 96 mg of calcium
87% × 48 mg magnesium = 0.87 × 48 mg magnesium = 41 mg magnesium
44% × 96 mg calcium = 0.44 × 96 mg calcium = 42 mg calcium
Consider the following function:
f(3) = log2(x + 3)
Which interval has the smallest average rate of change in the given function?
O (0,2
O 4,6]
O [2,4
O (6,8)
In the function f(x) = log2(x + 3)), the smallest average rate of change in the function is in the interval, (6,8)
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
A logarithmic function,
f(x) = = log2(x + 3)
Rate of change = Change in values of function/change in x
= [F(b) - F(a)]/ b-a
For the interval, (0, 2)
f(0) = Log2(0 + 3) = Log(6)
f(2) = Log2(2 + 3) = Log(10)
Rate of change = Log(10) - Log(6) /2
= 0.11
Similarly, for the intervals, (4, 6), (2, 4), (6,8)
Hence, the smallest average rate is for the interval, (6, 8)
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-5n - 5 = -2 (2n - 2)
Answer:
n = +1
Step-by-step explanation:
Hope this helps
Answer:
im pretty sure -9 is the answer
PLEASE HELP AS SOON AS POSSIBLE
A) The slope between the points (0, -4) and (2, -1) is 1.5.
b) the slope between the points (0, -4) and (4, -1) is 0.75.
c) The slope of 0.75 indicates that for every 1 unit increase in x, there is a 0.75 unit increase in y.
Part A: To calculate the slope between two points, we use the formula:
slope = (change in y) / (change in x)
Let's choose the points (0, -4) and (2, -1).
Change in y = -1 - (-4) = 3
Change in x = 2 - 0 = 2
slope = 3 / 2 = 1.5
Therefore, the slope between the points (0, -4) and (2, -1) is 1.5.
Part B: Let's choose different points from the table, such as (0, -4) and (4, -1).
Change in y = -1 - (-4) = 3
Change in x = 4 - 0 = 4
slope = 3 / 4 = 0.75
Thus, the slope between the points (0, -4) and (4, -1) is 0.75.
Part C: The slopes from parts A and B provide information about the relationship between the points.
In part A, where the slope was calculated as 1.5, we can see that as the x-values increase by 2 units, the y-values increase by 3 units. This suggests a positive relationship between the points, meaning that as x increases, y also increases. The slope of 1.5 indicates that for every 1 unit increase in x, there is a 1.5 unit increase in y.
In part B, where the slope was calculated as 0.75, we observe a similar positive relationship between the points. As the x-values increase by 4 units, the y-values increase by 3 units. The slope of 0.75 indicates that for every 1 unit increase in x, there is a 0.75 unit increase in y.
Overall, the positive slopes in both parts A and B suggest that the points on the table exhibit a positive linear relationship. This means that as x increases, y also increases, and the rate of change is consistent based on the slope.
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Need help will give brainliest and 5 stars! :)
The logarithmic function can be written exponentially as follows.\(t = 8^y.\)
What is logarithmic function?Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.
The given logarithmic expression is \(log_{8}(t) = y.\)
We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.
Thus, \(log_{8}(t) = y\)
\(t = 8^y\)
Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)
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Wanting to take things slowly, they first tried the carousel. There are 48 people in
line. If 28 of them are kids, what is the fraction of people in line for the carousel
that are kids?
Answer:
28/48
Step-by-step explanation
28 kids and 48 people total.
28/48
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. If there are 461 households in the community, about how many of them have electric bills less than $200?
A. 45
B. 21
C. 95
D. 81
95 households have electricity bills of less than $200. Option C is correct.
Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) = \(\frac{X -\mu}{\sigma}\)
z (p < 200) = (200 - 245)/55
= --45/5
= -0.818181
p < 200 = 0.206 (from z table)
Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95
Thus, 95 number of household have electricity bills of less than $200. Option C is correct.
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A project team assesses their primary risk factor's probability of failure with a maturity risk of 0.3, a complexity risk of 0.7, and a dependency risk of 0.8. The probability of failure is:
a. Greater than 0.3 but less than or equal to 0.55.
b. Greater than or equal to 0.9.
c. Greater than 0.56 but less than or equal to 0.89.
d. Less than or equal to 0.3.
Answer:
b. Greater than or equal to 0.9.
Step-by-step explanation:
We have three types of risks, that can make the project fail independently.
The probability of failure have to be calculated as the complement of the probability of success, and the probability of success is the probability of avoiding each of the risks.
The probability of avoiding each of the risks is the complementary probability of each risk. For example, the probability of avoiding the maturity risk (0.3) is 1-0.3=0.7.
Then, we can calculate the probabilty of success as:
\(P_s=(1-P_{mr})(1-P_{cr})(1-P_{dr})\\\\P_s=(1-0.3)(1-0.7)(1-0.8)\\\\P_s=0.7\cdot 0.3\cdot 0.2\\\\P_s=0.042\)
Then, the probability of failure is the complementary of the probability of success:
\(P_f=1-P_s\\\\P_f=1-0.042=0.958\)
The probability of failure is Pf=0.958
In a movle theater, each row has 20 seats. Which equation represents this proportional relationship?
A. y = x
B. y = 20 + x
C. y = 20x
D. y = 20
Answer:
c
Step-by-step explanation:
3(2x+1)=7x-2 find the value of x
Answer:
5
Step-by-step explanation:
3(2x+1)=7x-2
6x + 3 = 7x - 2
6x - 7x = -2 - 3
-x = -5 /(-1)
x = 5
Answer:
5
Step-by-step explanation:
3 ( 2x + 1 ) = 7x - 2
Step 1 : Remove the parentheses
6x + 3 = 7x - 2
Step 2 : Move the variable to the left-hand side and move extra number the right-hand side
6x + 3 = 7x - 2
-7x -3 -7x -3
6x - 7x = -2 - 3
Step 3 : Combine like terms
-x = -5
Step 4 : Change the sign to make x positive
x = 5
SOLUTION : x = 5
Hope this helps :)
please help i will give brainliest to one who answers
You and a friend work at a job, The job paid $20 and you and the friend have to split it evenly, except your friend must make $1.00 more. How much will each of you get?5 sentences, please help i will give brainliest to one who answers
Answer:
20 ÷ 2 is 10. and since your friend you smoke $1 more they would get 11 dollars and you would get $9
Student scored 100 as shown in the box plot. Which term best describes the shape of distribution?
Answer:
Look I don't know the answer but I will give you 206 coins or whatever if you help me I swear to do this is true but if you want to get 206 coin I will give you them for helping me
Step-by-step explanation:
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over