Answer:
24 ft²
Step-by-step explanation:
AC = 10-(3+3)= 4
AB = 12- (3+3) = 6
AB×AC = 6×4 = 24 ft²
to test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the jacobs chemical company obtained the following data on the time (in minutes) needed to mix the material. manufacturer 1 2 3 24 31 19 30 29 18 28 34 22 26 30 21 a. use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. use . compute the values below (to decimals, if necessary). sum of squares, treatment sum of squares, error mean squares, treatment mean squares, error calculate the value of the test statistic (to decimals). the -value is - select your answer - what is your conclusion? - select your answer - b. at the level of significance, use fisher's lsd procedure to test for the equality of the means for manufacturers and . calculate fisher's lsd value (to decimals). what conclusion can you draw after carrying out this test?
(a) We reject the null hypothesis that the population mean times for mixing a batch of material are the same for the three manufacturers at a significance level of 0.05. (b) Using Fisher's LSD procedure, we conclude that the means of manufacturers 1 and 2 are significantly different.
a) Using ANOVA to test the equality of the means for the three manufacturers, we find that the sum of squares for treatment is 260.80, sum of squares for error is 93.60, mean squares for treatment is 86.93, and mean squares for error is 7.40. The test statistic F is 11.74 with a p-value of 0.002. We reject the null hypothesis that the population mean times for mixing a batch of material are the same for the three manufacturers.
b) Using Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 2, we find that the LSD value is 5.05. Since the difference between the means of manufacturers 1 and 2 (4.33) is greater than the LSD value, we can conclude that the means are significantly different.
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Mai has to decide between two cafeteria meal plans. Under plan A, each meal cost $2.50. Under plan B, one month of meals cost $30
Answer:
If he eats more then 12 lunches in a month he should take Plan B, if he eats less then 12 lunches a month he should take Plan A.
Step-by-step explanation:
2.5x12=30
If he is on Plan A and buys 13 lunches it would cost more money then to be on Plan B. If he buys less then it would cost him less money to be on Plan A since he would be paying under $30.
Plan B is less expensive.
Mai should decide on Plan B for the meal plan.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
Mai has to decide between two cafeteria meal plans.
Under plan A, each meal cost $2.50.
In a month,
30 x 2.50 = $75 per month.
Under plan B, one month of meals costs $30
30 < 75
Therefore, Plan B is a better choice.
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The complete question;
Mai has to decide between two cafeteria meal plans. Under plan A, each meal cost $2.50. Under plan B, one month of meals costs $30.
Which plan is a better choice for her as per the monthly cost?
Hint: She wants a less expensive plan.
what is -5(2x+3/5) in expanded form
Answer:
-10x - 3
Step-by-step explanation:
Apply the distributive property of multiplication.
We get:
-10x - 3
Answer:
-10x - 3
Step-by-step explanation:
i think whatever is x comes first and then everything after but say you have something like x squared, that would come first. basically x with the highest exponent comes first and you go down based one that and the numbers come after. like i said i dont really know, its been a while since i have done algebra. i hope you find my answer helpful :)
If three boxes of pasta cost $5.79, find the cost of 22 boxes.
Answer:
Step-by-step explanation:
3 boxes of pasta --> $5.79
1 box of pasta --> $5.79/3=$1.93
22 boxes of pasta --> $1.93 x 22 =$42.26
Write a polynomial function of least degree with integral coefficients that has the given zeros. zeroes: -4, 2, 1
f(x) = x^3 + x^2 - 10x + 8. This polynomial has a degree of 3, which is the least degree possible with these given zeros, and it has integral coefficients.
To find a polynomial function with integral coefficients that has the given zeros, we can use the fact that if a number "a" is a zero of a polynomial function, then (x - a) is a factor of that polynomial.
Given the zeros -4, 2, and 1, we can write the corresponding factors as (x + 4), (x - 2), and (x - 1), respectively.
To find the polynomial function, we multiply these factors together:
(x + 4) * (x - 2) * (x - 1)
Multiplying these binomials, we get:
(x^2 - 2x + 4x - 8) * (x - 1)
Simplifying further:
(x^2 + 2x - 8) * (x - 1)
Expanding again:
x^3 + 2x^2 - 8x - x^2 - 2x + 8
Combining like terms:
x^3 + x^2 - 10x + 8
Hence, the polynomial function of least degree with integral coefficients that has the zeros -4, 2, and 1 is:
f(x) = x^3 + x^2 - 10x + 8.
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Imagine asking a random sample of 60 students from your school about their birth months. Which type of graph should you use to display the data? O A dotplot should be used because we can have each student place a dot above their birth month on the horizontal axis. A stemplot is appropriate A histogram should be used because we want to display frequencies. O A bar graph should be used because birth month is a categorical variable. O A stemplot or a histogram is appropriate
When we're working with quantitative data, we use a histogram to show the distribution of the data. A histogram is a graph that shows the number of times that a certain value, or range of values, appears in a dataset.
A histogram is a type of graph that displays the distribution of data. The graph is made up of a series of rectangles (bars) of equal width. The height of each bar corresponds to the frequency of the data that falls within the class interval associated with that bar. It's important to note that histogram bars are contiguous.A histogram is used to display the distribution of continuous data. A histogram is a graph that shows the distribution of a continuous variable using a bar graph with bars representing the frequency of a range of values. It's suitable for data that is continuous, meaning it can take any value between the minimum and maximum values.When we're working with a random sample of 60 students from our school about their birth months, a histogram should be used to display the data. We will be looking for a pattern in the distribution of birth months, which will be easy to spot with a histogram.To sum up, a histogram should be used to display the distribution of birth months of a random sample of 60 students from our school.
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Whitney prepared 16 kilograms of dough after working 4 hours. How much dough did
Whitney prepare if she worked for 5 hours? Assume the relationship is directly proportional.
Answer:
Step-by-step explanation:
time take for 1 dough = 16kg/4hours= 4kg/hour
Dough in 5 hours = 4 x 5 = 20
She prepared 20kilograms of dough in 5 hours
which of the following is equivalent to (5)^7/3? 5^-4
5^4
^7squroot5^3
^3squroot5^7
Answer:
^7 squroot5^3
Step-by-step explanation:
5x2= 10
7÷ 3= 2.5
There are 345 students at a college who have taken a course in calculus, 214 who have taken a course in discrete mathematics, and 190 who have taken courses in both calculus and discrete mathematics. How many students have taken a course in either calculus or discrete mathematics
The number of students who have taken either calculus or discrete mathematics is 369.
Calculus is a branch of mathematics that includes the observation of prices of change. Earlier than calculus was invented, all math was static: it could most effectively help calculate objects that were perfectly nevertheless. but the universe is continuously shifting and changing.
A number of students who choose either calculus or discrete mathematics = Number of students who choose calculus + Number of students who choose discrete mathematics - Number of students who choose Calculus and discrete mathematics.
Number of students who choose either calculus or discrete mathematics = 345 + 214 - 190
Number of students who either choose calculus or discrete mathematics = 369
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118 + 560 is the same as
100 +
Answer:
578
Step-by-step explanation:
118
+560
answer:678
678-100=578
The sum of 118 and 560 is the same as adding 100 to 578.
To find the sum of 118 and 560, we can add the hundreds, tens, and ones separately.
Starting with the ones, 8 + 0 = 8.
Then, moving on to the tens, 1 + 6 = 7.
Finally, adding the hundreds, 1 + 5 = 6. Combining these results, we get 678 as the sum.
However, if we add 100 to 578, we get 678, which is the same as the previous result. This happens because when we add 100 to the sum of 118 and 560, we essentially increase the hundreds place by 1 while keeping the tens and ones the same.
The final answer is 578.
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The question is incomplete, the complete question is:
The sum of 118 + 560 is the same as 100 + x . Find the value of x.
What is the slope of the graphed line?
Answer:
3/9
Step-by-step explanation:
3/9 because it goes up 3 right 9
Determine which set of statements is inductive reasoning.
O
Given: Everyone dressed casually on Friday
Conjecture: All Fridays are casual days
Given: 3a²
48
Conjecture: a = 6
-
Given: WXYZ is a rectangle.
Conjecture: WX = YZ and WZ = XY
Given: All donuts are unhealthy
Conjecture: This chocolate donut is unhealthy.
From the given set of statements, the conjecture which represent the inductive reasoning are given by :
a. Given : Everyone dressed casually on Friday
Conjecture : All Fridays are casual days.
c. Given : WXYZ is a rectangle.
Conjecture : WX = YZ and WZ = XY
d. All donuts are unhealthy.
Conjecture : This chocolate donut is unhealthy.
As given in the question,
Inductive reasoning is the conclusion which is based on the process of observed pattern.
Given set of statements represents the inductive reasoning or not:
a. Given : Everyone dressed casually on Friday
Conjecture : All Fridays are casual days.
From observing pattern based on Friday dressing we conclude all Fridays are casual days.
Represent inductive reasoning.
b. Given : 3a² = 48
Conjecture : a = 6
Here we cannot observe the process , we have to show the calculation.
Not representing inductive reasoning.
c. Given : WXYZ is a rectangle.
Conjecture : WX = YZ and WZ = XY
From observing pattern based on property of rectangle it is concluded that WX = YZ and WZ = XY.
Represent inductive reasoning.
d. All donuts are unhealthy.
Conjecture : This chocolate donut is unhealthy.
From observing pattern based on all donuts property it is concluded that chocolate donuts is also unhealthy.
Represent inductive reasoning.
Therefore, from the given set of statements, the conjecture which represent the inductive reasoning are given by :
a. Given : Everyone dressed casually on Friday
Conjecture : All Fridays are casual days.
c. Given : WXYZ is a rectangle.
Conjecture : WX = YZ and WZ = XY
d. All donuts are unhealthy.
Conjecture : This chocolate donut is unhealthy.
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What is the value of the expression 22 + 62 ÷ 22? (1 point)
10
13
16
36
Answer:
none of these
Step-by-step explanation:
none of these is the correct answer because if this is pemdas it would be 24.818
and if it is not pemdas it would still be 3.818.
The way pemdas would be solved is 62 divided by 22 first which is 2.818
and then 2.818 + 22 which= 24.818.
But if your just doing it in order and it isn't pemdas than you would do 22 + 62 which=84 and then 84 divided by 22=3.818
So your answers are wrong I wanted to let you know that is there an option od none of theres or is there more to the question I can help you with.
I hope I can help and that this helps have a awesome day:)
An IV solution of 120 mL at a drip rate of 5 gtt/min using a tubing factor of 20 gtt/mL has been ordered to be initiated at 1545. Calculate the infusion time. (Round your answer to the nearest tenth of an hour.
The infusion time for the IV solution that will be prescribed 480 mins.
What is IV infusion time?The time taken by the saline to be dripped in the infusion is called as the infusion time.
To calculate the infusion time the formula for IV drip rate is used which is;
Drip rate = volume/time × Drop factor
Drip rate = 5gtt/min
Volume = 120mL
Drop factor= 20 gtt/mL
Time = ?
From the formula above, make time the subject of the formula. That is,
Time = vol × drop factor/drip rate
Time = 120 × 20/5
Time= 120 x 4
Time= 480 mins
Therefore, the infusion time for the IV solution that was prescribed = 480 mins
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john drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. what was his average speed for the whole journey?
The average speed of John for the whole journey is 54km/h.
What is the average speed?Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.
Speed is the rate of movement of something at a specific time.
Average speed refers to the average speed over the course of a journey.
So, the average speed will be:
Distance = speed x time
d₁ = v₁ x t₁
d₁ = 50 x 3
d₁ = 150 km
d₂ = v₂ x t₂
d₂ = 60 x 2
d₂ = 120 km
So,
D = d₁ + d₂
D = 150 + 120
D = 270 km
Utilizing the S formula:
S = D/ T
S = 270 / 5
S = 54 km/hr
S = 54km/hr
Therefore, the average speed of John for the whole journey is 54km/h.
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the k-nearest nieghbor method can be used to classify a categorical outcome. (true or false?) true false
True. The k-nearest neighbor method can be used to classify a categorical outcome.
The k-nearest neighbor (k-NN) algorithm is a popular machine learning algorithm used for both classification and regression problems. In the case of classification problems, the k-NN algorithm works by finding the k data points in the training set that are closest to the input data point and then classifying the input data point based on the majority class of those k neighbors.
For example, if we have a dataset of flowers with different features such as petal length, petal width, and sepal length, and we want to classify a new flower based on these features, we can use the k-NN algorithm. By finding the k-nearest neighbors of the new flower in the dataset, we can determine the majority class of those neighbors and classify the new flower accordingly.
Since classification involves predicting a categorical outcome, the k-NN algorithm can be used for this purpose. Therefore, the statement that the k-nearest neighbor method can be used to classify a categorical outcome is true.
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Solve this problem , please
Answer:
1. 20.724 or 6.6π
2.3.14 or π
3. 15.7 or 5π
4. 9.42 or 3π
5. 25.12 or 8π
6. 18.84 or 6π
Step-by-step explanation:
just ask :)
What is the actual height of the lighthouse
Answer:
239 Feet
Step-by-step explanation:
Answer:
Lighthouse 82.5 metres (271 ft)
Step-by-step explanation:
How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?.
The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.
In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.
The given points are (–2, –16).
The given equation of line is y = x – 5.
Standard equation of line is y=mx+c.
After comparing to the standard equation.
Slope m(1) = 1
The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So
−16=−2*1+c
Simlifying
−16=−2+c
Add 2 on both side, we get
c = −16+2
c = −14
As we know that if line is parallel then
m(1)=m(2)
So the value of solpe m = 1
Now the equation of line
y=1*x+(−14)
y=x−14
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The right answer is:
How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?
Point (−2,−16), y = x – 5
Bobby says, “when you multiply two numbers, the product is greater than both factors “ Bobby’s claim is not always true select the two multiplication expressions that show Bobby’s claim is not always true
Answer:
0*1=0 7*1 basically anything multiplied by 0 or 1 will not be greater than both factors
Step-by-step explanation:
Based on how I do not know the options I am going to say what I believe you might have as options for example, anything multiplied by 0 is less than and anything multiplied by 1 is not greater it is equal to.
Find the midpoint of the segment with the following endpoints.
(-3,5) and (0, -1)
Mikayla has $30 in a cafeteria account. She spends $3 each day for lunch. Which equation matches Mikayla's situation?
y=3x-30
y=-3x-30
y=30x-3
y=30-3x
Answer:
y=30-3x
Step-by-step explanation:
More Basketballs Use these values of initial position and initial velocity in the following questions. distance c- Initial position:
6.3
1.0
m above ground Question What is the magnitude and direction of the acceleration as the ball goes up? What is the magnitude and direction of the acceleration as the ball goes down?
The magnitude and direction of the acceleration as the ball goes up is a negative value (opposite direction of motion), while the magnitude and direction of the acceleration as the ball goes down is a positive value (same direction as motion).
What is the magnitude and direction of the acceleration as the ball goes up?When the ball goes up, its initial velocity decreases due to the opposing force of gravity. The acceleration experienced by the ball is directed downwards, opposing the ball's upward motion. The magnitude of the acceleration can be determined using the kinematic equation:
[ v^2 = u² + 2as \]
where \( v \) is the final velocity, \( u \) is the initial velocity, \( a \) is the acceleration, and \( s \) is the displacement. Since the ball is moving upward, the final velocity (\( v \)) will be zero at the highest point. Therefore, we can rewrite the equation as:
[ 0 = u² - 2as \]
Solving for acceleration (\( a \)), we get:
[ a = \frac{{u²}}{{2s}} \]
Substituting the given values (initial position = 6.3 m, initial velocity = 1.0 m/s), we can calculate the magnitude of the acceleration.
[ a = \frac{{(1.0 \, \text{m/s})^2}}{{2 \cdot 6.3 \, \text{m}}} \]
[ a \approx 0.0794 \, \text{m/s}² \]
The negative sign indicates that the acceleration is in the opposite direction of motion, which is downward.
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Write the equation of a line in slope intercept form of a line that has a slope of -1 and contains (-5,2).
calculate the area of each triangle. Figure are not drawn to scale.
Answer:
105.84 cm
Step-by-step explanation:
A = 1/2 bh
A = 1/2 (16.8) 12.6
A = 1/2 (211.68)
A = 105.84 cm
hope it helps :)
mark brainliest!!
In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
help
in the figine alove, if \( H C^{2}=3 \sqrt{3} \), what io the value of \( A B+A C \) '? 10 \( 7 \sqrt{7} \) \( 6 \sqrt{3} \)
The value of AB + AC is 3.
In the given figure, if \(\(HC^2 = 3\sqrt{3}\)\), we can use the Pythagorean theorem to find the value of AB + AC.
According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, triangle ABC is a right triangle, with AB and AC as the two sides adjacent to the right angle at point A.
Since \(\(HC^2 = 3\sqrt{3}\)\), we have:
\(\(HC^2 = AB^2 + AC^2\)\)
Substituting the given value, we get:
\(\(3\sqrt{3} = AB^2 + AC^2\)\)
Taking the square root of both sides of the equation, we have:
\(\(\sqrt{3\sqrt{3}} = \sqrt{AB^2 + AC^2}\)\)
Simplifying further:
\(\(\sqrt{3}\sqrt[4]{3} = \sqrt{AB^2 + AC^2}\)\)
\(\(\sqrt[4]{9} = \sqrt{AB^2 + AC^2}\)\)
Squaring both sides of the equation, we get:
\(\(9 = AB^2 + AC^2\)\)
\(\(AB + AC = \sqrt{9}\)\)
\(\(AB + AC = 3\)\)
Therefore, the value of AB + AC is 3.
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will give correct answer brainliest
Answer:
(-1,3) > (3,-2)
(2,-1) > (6,-6)
(5,-3) > (-1,-8)
5, 0, 1,4)
find the midpoint of the line segment
Answer:
From what I see as coordinates this is your answer MP=(3,2)
Step-by-step explanation:
\(MP= (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})\)
\(MP= (\frac{5+1}{2})(\frac{0+4}{2})\) 5+1=6 0+4=4
\(MP= (\frac{6}{2})(\frac{4}{2})\) 6/2=3 4/2=2
\(MP= (3,2)\)
how many ways are there to paint the 10 identical rooms in a hotel with five colors if at most three rooms can be painted green, at most three painted blue, at most three red, and no constraint is laid on the other two colors, black and white?
Using the Combination formula,
Total number of ways there to paint 10 hotel rooms in a hotel with five colours is 527 ways .
We have given that,
total number of rooms available for paint = 10
number of colour avaliabile for painting = 5
Atmost three rooms can be painted green i.e
the number of ways for atmost three rooms are painted green = ¹⁰C₃ + ¹⁰C₂ + ¹⁰C₁ = 120 + 45 + 10 = 175
similarly, the number of ways for atmost three rooms are painted red = 175
the number of ways for atmost three rooms are painted blue = 175
Now, one room is remained for painting and two colours are available for it
the number of painting the remained room with aany of two available colours i.e black and white
= 2 ways
thus , total ways to paint the 10 hotel rooms with five different paints are (175×3 +2) = 527
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