The fraction of table filled is 285/301 or in decimal as 0.946
What is FractionsFractions are expressed in mathematics as a number value that defines a part of a whole or group of objects. Fraction is a component or sector of a given quantity taken from the whole, which might be a number, a specified value, or an item.
In a given fraction, the value on the top is called the numerator, while the value on the bottom is known as the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.
In this question, we have to add the total number of attendees first
212 + 89 = 301
But each seat except 1 is filled by 16 people
Let's subtract 16 from the total number
301 - 16 = 285
The fraction of table filled is 285 ÷ 301 = 285/301 = 0.946
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Grafica y aproxima el area bajo la curva de f(x)=x³+1 en el intervalo x€[0,2]
The total area bounded by curve f(x)=x³+1 between (0,2) will be 6 units.
What is Integration ?The summing of discrete data is indicated by the integration. To determine the given functions that will characterize the area, displacement, and volume that result from a combination of small data that cannot be measured separately and integrals are calculated. The concept of limit is employed broadly in calculus whenever algebra and geometry are applied.
Given Graph = x³+1
Area between interval x€[0,2]
To get the desired area we have to integrate between x€[0,2]
[tex]\int\limits^2_0 {(x^3 + 1)} \, dx[/tex]
∫x³dx + ∫1dx
[tex]\frac{x^4}{4}[/tex] + x + c
We can find the area by lower limit - upper limit
Putting x = 0
we get result as c
Putting x = 2
We get result as 6+c
So desired area will be ( 6+c ) - c = 6
Hence the total area bounded by curve between (0,2) will be 6 units.
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What is 48,570 in scientific notation?
Answer: 4.857 x 10^4
Step-by-step explanation:
Hey!, can you pls help me? I've been stuck on this for a long time...
in comparing the galilean transformations with the lorentz transformations, what multiplicative factor appears in the lorentz transformations that is not in the galilean ones?
In Lorentz transformations we have velocity based factors that is not present in Galilean ones.
What is lorentz transformations?The relationship between two distinct coordinate frames that are moving relative to one another at a constant speed is known as a Lorentz transformation. Dutch physicist Hendrik Lorentz is credited with coining the name of the transformation. There are two frames of reference: Inertial Frames, which refer to motion that has a constant speed.
What are Galilean transformations?The relationship between two distinct coordinate frames that are moving relative to one another at a constant speed is known as a Lorentz transformation. Dutch scientist Hendrik Lorentz is credited with coining the term transformation. There are two frames of reference: Inertial Frames, which relate to motion that has a constant speed.
Any and all rulers and other self-contained length standards, such as those you might use to set up a measurement frame, can be contracted in length based on velocity. This results in the Lorentz factor at the place in the LT.
Any and all clocks and other physically independent systems, such as those used to record events in a measurement frame, are subject to velocity time dilation. As a result, the LF is temporarily in the LT.
The fact that applying Einstein synchronisation individually for each measurement frame turns out to be natural. Consequently, the position-dependent synchronisation offset between the clocks of one measurement frame and those of the other is represented by the enigmatic second term in the LT for the time.
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Uppose there are three pipes filling a tank. The first pipe can fill the tank in 5 hours. The second pipe can fill the tank in 8 hours. The third pipe can fill the tank in 11 hours. How much of the tank can the first pipe fill in one hour? how much of the tank can the second pipe fill in one hour? how much of the tank can the third pipe fill in one hour?
Answer:
Step-by-step explanation:
12. A clothing store has 621 blouses.
they place these on 9 racks. About the
same number of blouses were placed on
each rack. About how many blouses are
on each rack? (equation & sentence
Answer:
you have to divide
Step-by-step explanation:
621/9=69 so there are 69 blouses on each of the 9 racks
help plsssssssssssssssss
Answer: A 121/324
Step-by-step explanation:
1.0489343455493443 is the result so it is irrational
Which conclusion is appropriate at the 5% level of significance? check all that apply. Group of answer choices the differences observed in sample means do not provide strong evidence of a difference in mean course load for freshmen, sophomores, juniors and seniors at this university. There are statistically significant differences in mean course loads for freshmen, sophomores, juniors and seniors at this university. This study provides strong evidence that the mean course loads differ for freshmen, sophomores, juniors and seniors at this university. This study provides strong evidence that the mean course loads for freshmen are larger than the mean for sophomores. This study suggests that the mean course loads are the same for freshmen, sophomores, juniors and seniors at this university. We cannot draw a conclusion because conditions for the anova f-test are not met
A 5% chance exists of concluding there is a difference when there isn't at a significance level of 0.05. Lower levels of significance suggest that you need more proof before you can rule out the null hypothesis.
What is Anova test?In statistics, the analysis of variance (ANOVA) method is used to compare the means of two groups.
In an experiment with a completely randomized design, samples are at random assigned to either a treatment group or a placebo group.
For instance, if 40 persons are chosen to evaluate the effects of an analgesic,
four groups—Groups A, B, C, and D—could be created. Different dosages of the medication can be administered to Groups A, B, and C, while Group D receives a placebo. Due to the random grouping of the participants
, this is an illustration of a randomized design.
We assume that the sample populations are normally distributed and have the same variances in order for an ANOVA test to display completely randomized design.
Hence, A 5% chance exists of concluding there is a difference when there isn't at a significance level of 0.05. Lower levels of significance suggest that you need more proof before you can rule out the null hypothesis.
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a rectangular crate has length 15 in, width 4 in, and height 10 in. find its volume as surface area.
Answer:
volume: 600 cubic inchesarea: 500 square inchesStep-by-step explanation:
You want the volume and surface area of a rectangular crate that is 15 in long, 4 in wide, and 10 in high.
VolumeThe volume is given by the formula ...
V = LWH
For the given crate, the volume is ...
V = (15 in)(4 in)(10 in) = 600 in³
AreaThe area is given by the formula ...
A = 2(LW +H(L +W))
For the given dimensions, the crate has an area of ...
A = 2((15 in)(4 in) +(10 in)(15 in +4 in)) = 2(60 in² +(10 in)(19 in))
= 2(60 in² +190 in²) = 500 in²
The crate's volume is 600 cubic inches; its area is 500 square inches.
I do not understand what I am supposed to do
Check the picture below.
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.)P(x) = x^3 − x^2 − x − 5number of positive zeros possible number of negative zeros possible number of real zeros possible
The number of positive and negative real roots of the function
x³ - x² - x - 5 are 1 and 2 respectively.
What is Descartes' Rule?
Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeros in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients.
Number of positive real roots of f(x) ≤ Number of sign changes f(x)
Number of negative roots of f(x) ≤ Number of sign changes of f(-x)
According to the given questions:
The given polynomial function f(x) = x³ - x² - x - 5
We can observe the number of sign changes in the coefficients
The sign changes only once
hence there is one positive real root
Now, f(-x) = -x³ + x² - x + 5
Clearly sign changes 2 times evenly
Therefore the function has 2 negative real roots
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the population of a town increased from 3050 in 2006 to 5500 in 2009. find the absolute and relative (percent) increase. absolute increase: relative increase: % give answers accurate to at least 1 decimal place.
In the given question, the absolute percentage increase is 1050 and the relative percentage increase is 32.3076%.
What is the percentage increase?When you want to analyze how a value has evolved over time, a percentage increase is helpful.
Although percentage increase and absolute increase are fairly comparable, the former is more helpful when contrasting different data sets.
For instance, a change from 1 to 51 and a change from 50 to 100 both have an absolute change of 50, but the first change grew significantly more due to the higher percentage growth of 5000% compared to the second change of 100%.
The most popular method of assessing growth is percentage increase because of this.
So, the absolute and relative percentage increase is:
The town's population grew from 3,250 in 2008 to 4,300 in 2010.
2008: P1 = 3250
2010: P2 = 4330
Absolute variation:
Absolute difference = P2 - P1
Absolute difference = 4330 - 3250
Absolute difference = 1050
Relative increase:
Relative percentage = P2 - P1/P1 * 100
Relative percentage = 1050/3250 * 100
Relative percentage = 32.3076
Therefore, in the given question, the absolute percentage increase is 1050 and the relative percentage increase is 32.3076%.
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Correct question:
The population of the town increased from 3,250 in 2008 to 4,300 in 2010. Find the absolute and relative(percent) increase.
A recipe for fruit salad includes 1/4 cup of grapes for 4 servings. How many cups of grapes are needed for 40 servings of this fruit salad
Answer: 2.5
Step-by-step explanation: 40 divided by 4 = 10 1.4 x 10 = 2.5
Answer:
2.5
Step-by-step explanation:
1/4 is equal to 0.25, So if it's 0.25 for 4 servings, the ratio is 0.25:4. You can the divide 40 by 4 and get 10. You can now take that ten and multiply it by 0.25 to get 2.5 or 2 and 1/2
Write a rule for g(x)=f(x+2) when f(x)=x+1.
Answer:
g(x) = x+3
Step-by-step explanation:
f(x) = x+1
g(x) = f(x+2)
so g(x) = (x+2)+1
g(x)=x+3
a researcher wants to examine the relationship between fat and calories in fast food. data was analyzed using linear regression. fat grams in the food represented x (the independent variable) and total calories in the food item was represented by y. the slope was 13 and the y intercept was 143. predict how many calories would be in a sandwich containing 32 grams of fat?
The predicted number of calories in a sandwich containing 32 grams of fat is 559.
What is the slope intercept form?In algebra, the slope-intercept form of a linear equation is a typical approach to express a line on a graph. A linear equation is written as y = mx + b in standard form.
The y-intercept, or place where the line crosses the y-axis, is represented by the letters b and m, respectively. The point where the lines contacts the y-axis is known as the y-intercept, and the slope is a measurement of how steep the line is. Because it explicitly displays the slope and y-intercept, this equation's form is known as the slope-intercept form.
y = mx + b
Where m is the slope, x is the value of the independent variable, and b is the y-intercept. In this case, the slope is 13 and the y-intercept is 143. So, the equation of the line of best fit is:
y = 13x + 143
To predict the number of calories in a sandwich containing 32 grams of fat, you can plug in 32 for x in the equation:
y = 13 * 32 + 143
y = 416 + 143
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a rancher has 720 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). what dimensions should be used so that the enclosed area will be a maximum?
If a rancher has 720 feet of fencing with which to enclose two adjacent rectangular corrals, the dimensions are 90 feet and 120 feet
From the figure
4x + 3y = 720
3y = 720 - 4x
y = 240 - (4/3)x
The area = l × w
Where l is the length
w is the width
Substitute the values in the equation
A = 2x × y
= 2x (240 - (4/3)x)
Apply the distributive property
= 480x - (8/3)x^2
Differentiate the values
0 = (-16/3)x + 480
(16/3) x = 480
x = 480 / (16/3)
x = 90 feet
Then,
y = 240 - (4/3)(90)
= 120 feet
Hence, the dimensions are 90 feet and 120 feet
I have answered the question is general, as the given question is incomplete.
The complete question is
A rancher has 720 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). what dimensions should be used so that the enclosed area will be a maximum?
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flipping a fair two-sided coin, the probability of getting heads is equal to the probability of getting tails. if the coin is flipped three times consecutively, what is the probability of getting heads at least twice?
The probability of getting heads at least twice is 0.5
Since we are given two-sided coin, where the probability of getting heads is equal to the probability of getting tails.NO of outcomes in this case is 2,The probability of getting a head = 1/2, similarly probability of getting a tail is =1/2 .So when a coin is flipped three times, the sample space for the event will be (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT), H stands for head and T stands for tails, here for tossing the coin the number of outcomes is 8 .So the probability of getting at least two heads is: 4/8= 1/2 =0.5
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How do you find the distance between these two integers? Complete the following statement that answers this question. Count the units between integer and zero. There is______ unit(s) between 0 and 1. There are______ unit(s) between 0 and 1. There are0 and -3. So, the sum of these two values is______ units.
Answer: (A) There is 1 unit between 0 and 1.
(B) There are 1 units between 0 and 1
(C) There are 0 and -3 so the sum of these two values is 3 units.
Step-by-step explanation:
How to find a distance between two integers? Easy!
First find the absolute value! Its gonna help a lot!
PLEASE HELP ASAP!!!!!! WITH EXPLANATION >:(
Answer:
D. 7.00 < 210.00; h < 30; 30 hours
Step-by-step explanation:
He needs to do 30 hours because:
7.00 < 210$; representing h < = 30; and then you would equal 30 hours
Definitely not A or B because that would represent a fraction which we don’t want
C, also would not work because it would be the opposite.
( I am not stealing points. )
what is an equation of the line that passes through the point (4,-3)(4,−3) and is perpendicular to the line 4x y
The equation of the line is [tex]y = -\frac{3}{4}x[/tex].
What is the equation of a line?
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.
We have,
the line passes through the point (4,-3),
the points perpendicular to the line 4x - 3y = 3
The equation of a line in slope-intercept form is y = mx + c ( m is the slope and c is the y-intercept).
rearrange 4x - 3y = 3 into this form
subtract 4x from both sides
- 3y = - 4x + 3 ( divide all terms by - 3 )
[tex]y = \frac{4}{3}x - 1[/tex] ← in slope-intercept form
with slope m = 4/3,
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular} = \frac{1}{-m} = \frac{1}{-\frac{4}{3} } = \frac{3}{-4}[/tex]
[tex]y = -\frac{3}{4}x + c[/tex] ← is the partial equation
To find c substitute (4, -3) into the partial equation,
-3 = -3 + c
c = -3 + 3
c = 0,
[tex]y = -\frac{3}{4}x[/tex]
Hence, the equation of the line is [tex]y = -\frac{3}{4}x[/tex] .
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Alexis wants to pave a square landing pad out of concrete for her model helicopter.
She has enough concrete to pave 140 square feet. Find the length of each side of the
square landing pad in feet using the formula s = √A where s is the side length and A
is the total area. Round your answer to one decimal place, if needed.
A Square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side²
The formula to find the side length.
s = √A
The length of the side is 11.8 feet.
What is a square?A Square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side²
We have,
The total area of the square landing path:
A = 140 square feet.
The formula to use is given,
s = √A
Now,
s = √140
s = √4 x 35
s = 2√35
[ √35 = 5.92 ]
s = 2 x 5.92
s = 11.8 feet
Thus,
The length of the side is 11.8 feet.
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A persons resting heart rate is typically between 60 and 100 beats per minute. Rushing looks at the watch and counts 8 heartbeats in 10 seconds. Is his heart rate typical?
Answer: No its not normal
Step-by-step explanation: The question says 60 and 100 beats per minute is normal. Rushing looks at his watch and counts 8 beats in 10 seconds
We can solve by:
[tex]\frac{8}{10}[/tex] = [tex]\frac{x}{60}[/tex] then from that answer we can check if x, the heartbeats falls between 60 and 100.
So to get 60, we have to multiply 10 by 6. We are using proportionality, so we do the same to the numerator to get 8 x 6= 48
We get [tex]\frac{8}{10}[/tex] = [tex]\frac{48}{60}[/tex]. 48 beats do not fall between 60 and 100, thus the answer is it is not normal.
the time is 11:06 in 2 hours it will be
Answer:
Step-by-step explanation:
01:06
Answer:
1:06
Step-by-step explanation:
11:06 + 2:00 = 13:06
13:06-12:00= 1:6
Complete the statement Round to the nearest hundredth if necessary
14 m ≈ ? ft
Answer: 45.93 ft
Step-by-step explanation:
y+8>10 solve the following inequality
Answer:
y>2
Step-by-step explanation:
subtract 8 on both sides
Answer:
y > 2
Step-by-step explanation:
y + 8 > 10
Subtract 8 from both sides.
y > 10 - 8
y > 2
an izod impact test was performed on 20 specimens of pvc pipe. the sample mean is 1.25 and the sample standard deviation is 0.25. test the hypothesis that H0: ????
There is sufficient evidence to conclude that the population standard deviation is different from 0.1.
What is test statistic?
A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.
Given,
[tex]H_0:\sigma =0.1\\H_a:\sigma \neq 0.1[/tex]
Test statistic:
Chi square=(20-1)*0.25^2/0.1^2=118.75
df=20-1=19
p-value=CHIDIST(118.75,19)=0.0000
Reject the null hypothesis.
Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.
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a survey of patients at a hospital classified the patients by gender and blood type, as seen in the two-way table. gender blood type male female total a 105 93 198 b 99 84 183 o 160 140 300 ab 15 18 33 total 379 335 714 based on the data, what percent is the probability that a female patient will have type-o blood? round your answer to the nearest tenth of a percent.
The percent of the probability that a female patient will have type-o blood is 46.7%
To know the percent of female patients who will be having type 0 blood, all you have to do is divide the number of female patients with O-blood type by the total number of patients with O-blood type. Then finally you will have to multiply the quotient by 100 to get the percent as follows:
number of females with o-blood type = 140 Females
total number of patients with o-blood type = 300 patients
Percentage of Females with o-blood type = (140/300) * 100 = 46.7%
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Find the slope of points passing through -2, 2 and -8, 5
Answer:
-1/2
Step-by-step explanation:
Slope= [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex].
(5-2)/(-8+2)
Simplify:
3/-6
-1/2
PLEASE MARK AS BRAINLIESTfrom a group of 7 men and 6 women a committee consisting of 4 men and 3 women is to be formed. how many different committees are possible if (a) 2 of the men refuse to serve together?
500 Different number of committees are possible.
Initially we have 7 men and 6 women.
We have to select 4 men and 3 women to form a committee
Number of men are possible 7C4 = 35
Number of women are possible 6C3 = 20
2 of the men are refusing to server together
so we have to subtract the possibilities when these 2 men are sitting together.
we are considering 2 men are already sitting together.
now, we have only need of 2 men from remaining 5 men.
number of ways to select 2 men from 5 men is 5C2 = 10
We have to subtract 10 from number of men possible.
Number of men possible when 2 of the men refuse to serve together =
35 - 10 = 25.
Number of possible committees are 25*20 = 500.
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A punch recipe calls for 1 1/2 quarts of sparkling water and 3/4 of a quart of grape juice. How much of each ingredient would you need to make 75 quarts of punch?
The number of each ingredient of water and grape juice you can use for 75 quarts of punch would be = 112.5 of sparkling water and 56.25 of grape juice.
What is recipe?Recipe is defined as the comprehensive list of items that includes various measurements which is used for making different food meals.
The quantity of sparkling water used for each punch quarts = 1½ = 1.5
1.5 = 1
X = 75
make X the subject of formula;
X = 75×1.5
X = 112.5
The quantity of grape juice used for each punch quarts= ¾ = 0.75
0.75 = 1
y = 75
make y the subject of formula;
y = 0.75×75
y = 56.25
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