The volume of the china cabinet is 21 cubic feet.
To find the volume of the china cabinet, we need to multiply its length, width, and height.
Since the dimensions are given in feet, we will use cubic feet as the unit of volume.
The length of the china cabinet is given as 1 ft, the width as 7 ft, and the height as 3 ft.
The volume can be calculated as follows:
Volume = length * width * height
Volume = 1 ft * 7 ft * 3 ft
Volume = 21 cubic feet
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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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labels of weight status were added, such as under 18.5 = underweight, 18.5 to 24.9 = healthy, 25 to 29.9 = overweight, 30 or higher = obese. which variables do these labels describe?
These labels describe the Body Mass Index (BMI) of an individual. BMI is a measure of body fat based on height and weight.
Labels of weight status were added, such as under 18.5 = underweight, 18.5 to 24.9 = healthy, 25 to 29.9 = overweight, 30 or higher = obese.
BMI is used to determine whether an individual is a healthy weight for their height. Under 18.5 is classified as underweight. A BMI of 18.5 to 24.9 is considered a healthy weight, 25 to 29.9 is classified as overweight, and a BMI of 30 or higher is considered obese.
It is important to note that BMI is not an exact measure of body fat, and individuals with higher amounts of muscle mass may have a higher BMI. Therefore, BMI should be used as a guide to assess overall health and not as an absolute measure of body fat.
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Alex is standing still and throws a football with a speed of 10 m/s to his friend, who is also standing still. the two friends are standing 5 meters apart. which describes how each person observes the speed of the football? alex observes it as 10 m/s, and his friend observes it as less than 10 m/s. alex observes it as less than 10 m/s, and his friend observes it as 10 m/s. both alex and his friend observe it as 10 m/s. both alex and his friend observe it as less than 10 m/s.
The statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.
To answer the question, we need to know what speed is.
What is speed?Speed is the distance moved per unit time
Since Alex is standing still and throws a football with a speed of 10 m/s to his friend, who is also standing still. If there were relative motion between Alex and his friend, that is Alex or his friend were moving, each person would observe a different speed for the football.
Since there is no relative motion between Alex and his friend, they both observe the same speed for the football.
So, both Alex and his friend observe it as 10 m/s.
So, the statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.
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bag contains the following fourteen marbles. Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. What is the probability he will choose one green marble and then one red marble
5/98 is the probability he will choose one green marble and then one red marble.
Definition of probability
The chance that a given event will occur. (2) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes. b : a branch of mathematics concerned with the study of probabilities.Three Types of Probability-
Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).Relative Frequency Definition. Subjective Probability.P(green) = ⇒ 5/14
P(red) = ⇒ 2/14
P(green and red) = ⇒ 5/98
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In ΔEFG, g = 34 inches, e = 72 inches and ∠F=21°. Find the area of ΔEFG, to the nearest square inch.
The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.
To find the area of triangle EFG, we can use the formula:
\(Area = (1/2) \times base \times height\)
In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.
First, let's find the length of FG. We can use the law of cosines:
FG² = EF² + EG² - 2 * EF * EG * cos(∠F)
EF = 72 inches
EG = 34 inches
∠F = 21°
Plugging these values into the equation:
FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)
Solving for FG, we get:
FG ≈ 83.02 inches
Next, we need to find the height. We can use the formula:
height = \(EF \times sin( \angle F)\)
Plugging in the values:
height = 72 * sin(21°)
height ≈ 25.52 inches
Now we can calculate the area:
\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)
Area ≈ 1060.78 square inches
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Bridget and Caroline win some money and share it in the ratio 7:3. Bridget gets £40 more than Caroline. How much did they get all together?
Answer:
£100
Step-by-step explanation:
if the ratio is 7:3, the difference between them is 7-3 . = 4.
So,
4x = £40
Now, calculate x
x = £10
Now,
we are able to calculate:
7x (Bridget's share) = £70
3x (Caroline's share) = £30
Sum = £100
Hope this helps.
Good Luck
write the equation of the control logic for the burglar alarm that produces a logic 1 (rings a bell) when the safe is moved and the control switch is closed, or when the closet is opened after banking hours, or when the closet is opened with the control switch open.
safeMoved = 1 AND controlSwitchClosed = 1
The equation of the control logic for the burglar alarm is ((safeMoved = 1 AND controlSwitchClosed = 1) OR (closetOpenedAfterBankingHours = 1) OR (closetOpenedWithControlSwitchOpen = 1)).
This logic produces a logic 1 (rings a bell) when the safe is moved and the control switch is closed,
or when the closet is opened after banking hours,
or when the closet is opened with the control switch open.
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PROFIT CALCULATIONS Marginal Revenue (MR) $30.00 Market Price ($20-70) 30.00 Marginal Cost (MC) $30.16 Total Revenue $1,950.00 Quantity (30-140) 65 Total ...
The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.
However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.
To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.
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What is 75% of 85$?
Pls help
Answer:63.75 :)
Step-by-step explanation:
Answer:
$63.75
Step-by-step explanation:
85 x 75/100
85/1 x 3/4
255/4 - > $63.75
- You should already know how to do this yourself as this is very easy and basic question.
Find the volume of a cylinder with a height of 6 cm and a radius of 3 cm.
A. 108 pi cm^3
B. 36 pi cm^3
C. 18 pi cm^3
D. 54 pi cm^3
Answer:
D
Step-by-step explanation:
Step 1: (3)^2*6pi
Step2: 54 pi cm^3 Ans
Answer:
169.71
Step-by-step explanation:
FIRST PUT THE VALUES IN THE FORMULA OF VOLUME OF CYLINDER i.e. V= πr^2 h then evaluate the values as V=22/7(3)^2(6) =169.71cm^3
In the diagram of circle o, chords AC and BD are perpendicular to each other. If mzCOD = 95° what is m<AOB?
A. 95°
B. 90°
C. 85°
D. 80°
Answer:
the answer is
C.85 degreesHOPE IT HELPEDAnswer:
the answer is c
Step-by-step explanation:
a class has 30 students. what is the probability that at least two people in this class share the same birthday?
To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.
If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:
365/365 * 364/365 * 363/365 * ... * 336/365
This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).
Calculating this probability gives us:
(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937
So the probability that no two people in the class share the same birthday is approximately 0.2937.
Using the complement rule, the probability that at least two people in the class share the same birthday is:
1 - 0.2937 = 0.7063
Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 26 centimeters. After 24 hours of burning, its height is 14.6 centimeters. What is the height of the candle after 18 hours?
Answer:Let Y = height
Let X = time
Height is a linear function of time, so Y = mX + b, where m is the slope and b is the y-intercept.
We can calculate the slope from the given values (8,20.4) and (19,18.2)
Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2
This means that the height of the candle is going down by 0.2 cm per hour
Since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.
So the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters
Step-by-step explanation:
what is the measure of C?
Answer:
10.82 or \( \sqrt{117} \)
Step-by-step explanation:
pythagorean theorem is x^2+y^2=r^2
9^2+6^2=r^2
117=r^2
r= \( \sqrt{117} \)
Answer:
10.81665383 about 10.8 units
Step-by-step explanation:
how to find the hypotenuse is a^2 + b^2 = c^2
a = 9
b = 6
9^2 + 6^2
9 x 9 = 81
6 x 6 = 36
81 + 36 = 117
177 = c^2
find the square root of 177 = 10.81665383 about 10.8
3/ 2 (3x-2) = 3/ 2-2
Answer: x = 5/9
Step-by-step explanation:
help me out i will give brainliest i’m in school help
Answer:
C: (4, -12)
Step-by-step explanation:
graph starts at 48 and keeps going down by 4 making the x intercept stop at 4. y intercept goes down by 4 but stops on the negative side of 12. so (4,-12)
If you get right I will give brainliest.
Please answer.
Write an equation of an ellipse in standard form with center at the origin and with the given characteristics.
c²=68 , vertex (0,-18) .
The equation of the ellipse in standard form with a center at the origin and the given characteristics is (x²/324) + (y²/256) = 1
To write the equation of an ellipse in standard form with center at the origin and the given characteristics, we can use the formula:
(x²/a²) + (y²/b²) = 1
Where (a, 0) represents the coordinates of the vertices along the major axis, and 'c' represents the distance from the center to the foci.
In this case, we are given that the center is at the origin, so the equation becomes:
(x²/a²) + (y²/b²) = 1
The given vertex is (0, -18), which lies along the major axis. The distance from the center to the vertex along the major axis is 'a', so 'a' is equal to 18.
Now, we need to find the value of 'b' and 'c'.
We are given that c² = 68. Taking the square root of both sides, we get c = ±√68, which simplifies to c = ±2√17.
Since the center is at the origin, the distance from the center to each focus is 'c'. Therefore, the distance from the origin to each focus is 2√17.
Using this information, we can determine 'b'. By using the relationship a² = b² + c², we can substitute the known values:
18² = b² + (2√17)²
324 = b² + 4 × 17
324 = b² + 68
b² = 324 - 68
b² = 256
b = √256
b = 16
Now we have the values of 'a' and 'b'. Substituting them into the equation, we get:
(x²/18²) + (y²/16²) = 1
Therefore, the equation of the ellipse in standard form with a center at the origin and the given characteristics is:
(x²/324) + (y²/256) = 1
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What color is chicken nugget
Answer:
orange
Step-by-step explanation:
when you fried chicken nuggets it will turn to orange
What is the value of q in the equation 0.5q = 6.25?
Write the answer as a decimal to the nearest tenth.
Answer:
q=12.5
Step-by-step explanation:
Divide each term by 0.5 and simplify
Answer:
12.5
Step-by-step explanation:
0.5q = 6.25
/0.5 /0.5
q = 12.5
Write True or False. You can use the measures of the angles formed by two lines and a transversal to determine whether the two lines are parallel.
Answer:
I think that the answer is true (explanation might not be 100% accurate)
Step-by-step explanation:
Given that for 2 lines to be parallel, they have to never intersect at any point, meaning they both have to be straight and "facing" the same way. If either line has a tilt/angle of any sort, then they are not parallel.
Find the slope from the table
Answer:
1
Step-by-step explanation:
I used DESMOS and to find this answer
Hope this Helped
if f(x)=logx, explain the transformation that occurs when f(0.25(x-5))+3
Answer:
First, let's explain the transformations in a general way:
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Horizontal shift.
If we have a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
This will move the graph of f(x) to the right or left a distance of N units.
if N is positive, then the shift is to the left
if N is negative, then the shift is to the right.
Horizontal dilation/contraction.
For a function f(x), an horizontal contraction dilation is written as:
g(x) = f(k*x)
where:
k is called the "scale factor"
If k < 1, then the graph "dilates" horizontally.
if k > 1, then the graph "contracts" horizontally.
Now, in this problem we have:
f(x) = log(x)
And the transformed function is:
g(x) = f(0.25*(x - 5)) + 3
Then, the transformations that take place here are, in order:
Vertical shift of 3 units up:
g(x) = f(x) + 3.
Horizontal shift of 5 units to the right:
g(x) = f(x - 5) + 3
Horizontal dilation of scale factor 0.25
g(x) = f( 0.25*(x - 5)) + 3
replacing f(x) by log(x) we have
g(x) = log(0.25*(x - 5)) + 3.
A batting cage charges a flat fee of $5 to practice and then $1.50 per bucket of balls.
Write an equation that models the charges (C) in terms of the number of bucket of
balls (b) that you use
OC -1.50 b+5
OC - 5b + 1.50
Ob - 1.50 C +5
Ob - 5 C +1.50
Answer:
Answer is B hope I’m right
Step-by-step explanation:
The function for total charge (C) in dollars for b no. of buckets will be
C(b), is C(b) = 1.50b + 5.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given A batting cage charges a flat fee of $5 to practice and then $1.50 per bucket of balls.
The total charge is denoted by C and the no. of a bucket of balls is denoted by b.
∴ Our function for the total charge (C) in dollars for b no. of buckets will be C(b),
Which is C(b) = 1.50b + 5.
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Question 13 40 of the cats at the pet store are black, which is 25% of all of the cats. How many cats are there at the pet store?
Answer:
There is a You tube video explaining step by step how to do this
Step-by-step explanation:
Answer:
its 10
Step-by-step explanation:
What is the minimum number of cards that must be drawn from an ordinary deck of cards to guarantee that you have been dealt at least three aces?
The minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.
According to the given question.
We have a deck of cards.
As, we know that
The total numbers of cards in a deck = 52
Since, we have to find the minimum number of cards to be drawn so that we will get atleast 3 cards of aces.
As they have used atleast in the question so the cards can be more also so we have to reach at minimum number of cards to be drawn to guarantee atleast 3 cards of aces.
Number of suits in a standard deck= 4 (Clubs, Hearts, Diamond, Spades)
Number of aces in a suit = 1
We need atleast three cards of aces. Which means that we have 4*1 =4 cards from each suit.
Thereofre, the minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.
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EXAMPLE 3.3 What is the chance of getting either 1, 2, 3, 4, 5, or 6 on the next roll? 100%. The outcome must be one of these numbers.
The chance of getting either 1, 2, 3, 4, 5, or 6 on the next roll of a standard six-sided die is 100%. The outcome must be one of these numbers, as these are the only possible outcomes on a standard six-sided die.
A standard six-sided die has six faces, numbered from 1 to 6. Each face has an equal chance of landing face-up when the die is rolled, assuming the die is fair and not biased. Therefore, the probability of getting any one of the six numbers (1, 2, 3, 4, 5, or 6) on the next roll is 1 out of 6, or 1/6, which is equivalent to approximately 0.1667 or 16.67%. Since there are no other possible outcomes on a standard six-sided die other than these six numbers, the chance of getting either 1, 2, 3, 4, 5, or 6 on the next roll is 100%.
Therefore, the answer is: The chance of getting either 1, 2, 3, 4, 5, or 6 on the next roll is 100% as these are the only possible outcomes on a standard six-sided die.
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Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
You can choose
A. Hunger Games
B. Men in Black
C. Classic Horror Movies
D. Jurassic Park
OR!!
Awnser With your own suggestion!!!!!!!
Answer:
E. HELLO
Step-by-step explanation:
Can anyone help me with this question?
Answer:
Penta Trinomial
Step-by-step explanation:
Highest power is 5 (penta)
Highest number of term is 3 (tri)
Answer:
6th degree trinomialStep-by-step explanation:
Given polynomial
4xy⁵ + 2xy - x⁴yIt has 3 terms so is trinomial
It has degrees as
First term = 1 + 5 = 6Second term = 1+1 = 2Third term = 4+1 = 5As the greatest degree is 6, this expression is 6th degree trinomial
Increase £490 by 11% give your answer rounded to 2 DP
Step-by-step explanation:
Given \:number (m) = £ 490Givennumber(m)=£490
Increase (g) = 11\%Increase(g)=11%
\begin{gathered} \red{ Required \:number } \\= m\Big( \frac{(100+g)}{100} \Big)\\= 490\Big(\frac{100+11}{100}\Big)\\= 490 \times \frac{111}{100} \\= 490 \times 1.11 \\= £ 543.9 \end{gathered}
Requirednumber
=m(
100
(100+g)
)
=490(
100
100+11
)
=490×
100
111
=490×1.11
=£543.9
Therefore.,
\red{ Required \:number }\green { = £ 543.9}Requirednumber=£543.9
•••♪
Answer:
£543.90
Step-by-step explanation:
You have to add 2 and nothing