The F Test statistic is 1.58.
Given data is
Source SS df MS
between 21,000.00 2 6,000.00
within 442,500.00 117 3,782.00
The SStotal is sometimes easier to calculate than SSbetween Since ......
SSwithin +SSbetween = SStotal you can use SStotal to calculate SSbetween.
= 442,500+21,000 = 463,500
In ANOVA, the F test statistic is the ratio of the between - treatments variance and the within-treatments variance. The value of the F test statistic is 1.58 when the null hypothesis is true , the F test statistics is closer to 1, when the null hypothesis is false, the F test statistic is most likely large in general, you should reject null hypothesis for larger values of the F test statistic.
Hence the answer is the F Test statistic is 1.58.
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In 2017, the library was able to record 4907 borrow books. By December of the same year, the library has 6 times its January record. The library’s December record is ?
The library’s December record is 29442
Mathematical Operations:Mathematical operations are Operators which emphasize particular actions like adding, subtracting, adding multiple times, dividing, etc.
There are 4 basic operations in mathematics as given below.
1. Addition => (+)
2. Subtraction => (-)
3. Division => (÷)
4. Multiplication => (x)
Here we have
In 2017 the library was able to record 4907 borrowed books
By December of the same year, the library has 6 times its January record.
[ Here we use Multiplication to find the December record ]
The December record = 6 times of January record
⇒ 6 × January record
⇒ 6 × 4907
⇒ 29442
Therefore,
The library’s December record is 29442
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Subtract using the number line -2 -(+7)
The answer is -9.
-2 -(+7) = -2 -7
-2 -7 = -9
I need help with this please help me
Answer:
m∠1 = 126°
m∠2 = 154°
Step-by-step explanation:
First, find the measure of angle that is supplementary to ∠1. (I will call it ∠A)
We know that the measures of the interior angles of a triangle add to 180°.
Therefore,
m∠A + 96° + 30° = 180°
m∠A + 96° = 150°
m∠A = 54°
From this value, we can solve for m∠1, since it is supplementary to ∠A:
m∠A + m∠1 = 180°
54° + m∠1 = 180°
m∠1 = 126°
To solve for ∠2, we must first solve for the adjacent supplementary angle that I have named ∠B.
First, the measures of the interior angles of a triangle add to 180°:
28° + m∠1 + m∠B = 180°
28° + 126° + m∠B = 180°
m∠B = 26°
Finally, we can solve for m∠2 because it is supplementary to ∠B.
m∠B + m∠2 = 180°
26° + m∠2 = 180°
m∠2 = 154°
Is this column graph skewed or symmetrical?? and if skewed what way?
Answer:
skewed to the right
Step-by-step explanation:
look at the graph
divide it in half
if both the sides are not equal then it is skewed
then to find out which way it is skewed look which side has more.
A pendant of gold alloy weighs 15/32 troy ounces. How many pendants can a jeweler make
from 5 5/8 troy ounces of gold alloy?
Solve the problem mathematically by finding the quotient.
The Jeweler makes the number of Pendants from the total weight of gold alloy = 12
The Jeweler has the total weight of gold alloy = 5 [tex]\frac{5}{8}[/tex] = 45/8 troy ounces.
Weight of a single gold alloy pendant = 15/32 troy ounces.
Jeweler makes the number of Pendants from the total weight of gold alloy = 45/8 ÷ 15/32.
Dividing Fractions by Fractions
We just learned how to divide fractions by taking the reciprocal. Now, let us see the method of dividing fractions by fractions with an example. Have a look at the formula of the division of a fraction by fraction given below. If x/y is divided by a/b, this implies,
x/y ÷ a/b
⇒ x/y × b/a (reciprocal of a/b is b/a)
⇒ xb/ya
Now, if we need to divide: 5/8 ÷ 15/16, we will substitute the values of the given numerators and denominators.
45/8 ÷ 15/32 = 45/8 × 32/15 = 12
∴ The value of 45/8 ÷ 15/32 = 12.
Hence the Jeweler makes the number of Pendants from the total weight of gold alloy = 12
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40 POINTS PLS ANSWER FAST
Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?
AAS
SSS
SAS
HL
Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.Answer:hypotenuse leg theorem
A house mover towed a historic Victorian home 45 miles to locate it on a new site. On his return, without the heavy house in tow, his average speed was 30mph faster and the trip was 2 hours shorter. How fast did he drive in each direction?
The required speed is 45 mph in each direction.
What is speed?
The definition of speed is a measurement of how quickly an object's location changes in any direction. Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
We know that distance=rate*time
d=rt
45=rt
45=(r+30)(t-2)
rt=(r+30)(t-2)
This shows,
rt=rt+30t-2r-60
0=30t-2r-60
if 45=rt, then r=45/t
substitute in the equation
0=30t-2(45/t)-60
multiply both sides by t
0=30t²-90-60t
on solving this quadratic equation, we get t= 3 s, t=-1 s
consider positive value
t=3 hours
45=rt
45=r*3
r=45/3 =15 mph to new site
r+30=15+30=45 mph returning
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Use proportional relationships to solve this mixture problem. The incoming 6th-grade class has a choice between band or choir as an elective. There are four times as many seats in choir as there are in band. How many students can choose band if there is a total of 250 students? 50 students 200 students 124 students 250 students
The number of students that chose band as an elective is 50
What is an equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic
let the total number of seats for choir be x and that for band be y
if there are 4 times as many seats as there in band then mathematically,
x = 4y.--------------------1
If there are 250 students, then, there would be 250 seats for the combined class.
so,
x + y = 250--------------2
substitute x = 4y in equation 2
4y + y = 250
5y = 250
y = 250/5
y = 50
In conclusion, 50 students can choose band.
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Divide.
5.3696
0.001
50 points to whoever answers!!
Answer:
create a line between (0,0) and (1,3)
the unit rate is 3/2 or 1.5
Step-by-step explanation:
pls mark
Banerjee Company began its operations in September of the current year. During September, the company paid wages of $23,400. For the last quarter of the year, the taxable wages paid amounted to $64,700. None of the employees was paid more than $7,000 this year. a. Is Banerjee Company liable for FUTA tax this year? Yes b. If your answer to part a above is "Yes", what is the net FUTA tax for the year? Round your answer to the nearest cent.
Banerjee Company is liable for FUTA tax this year and the net FUTA tax for the year is $528.60.
How to find the net FUTA tax?a. Yes. Banerjee Company liable for FUTA tax this year.
b. FUTA tax
FUTA tax =0.6%
Hence,
Net FUTA tax = (Wages paid × tax rate ) +(Taxable wages × Tax rate)
Net FUTA tax = ($23,400 × 0.6%) + ($64,700 ×0.6%)
Net FUTA tax = $140.40 + $388.30
Net FUTA tax =$528.60
Therefore $528.60 is the Net FUTA tax.
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**BRAINLIEST** TO WHOEVER ANSWERS CORRECTLY! PLEASE HELP ME!
- During a certain time of year, the daily temperature in a certain city, in degrees Celsius follows a periodic pattern. The graph below shows the temperature over two days, where time t is measured in hours after 12:00 a.m. (midnight) on the first day.
- Write an equation for the graph below in terms of Y (temperature in degrees Celsius) and T (time in hours) to represent the given context.
ANSWER SHOULD BE IN THIS FORM
y = ( a ) sin ( b ) (t - h) + k
GRAPH IS GIVEN BELOW PLEASE HELP ME OUT!
Answer:
y = A cos B(x - C) + D
Step-by-step explanation:
The equation for the graph given in terms of Y(temperature in degrees Celsius) and T(time in hours) is -
y = √180 sin (π/12.5)(t - 25) + 12
What is the general equation of a sinusoidal wave?The sinusoidal wave is of the form -
y{x} = A sin (ωt - kx + Ф)
Given is that during a certain time of year, the daily temperature in a certain city (in degrees Celsius) follows a periodic pattern.
We can write the amplitude as -
A = √(18 - 12)² + (13 - 1)²
A = √(36 + 144)
A = √180 ... { 1 }
{K} = 12 ... { 2 }
The time taken to complete one complete wave is 25 hours. So, we can write -
{T} = 25 ... { 3 }
ω = 2π/T = 2π/25 = π/12.5
{ω} = π/12.5 ... { 4 }
So, we can write the equation as -
y = √180 sin (π/12.5)(t - 25) + 12
Therefore, the equation for the graph given in terms of Y(temperature in degrees Celsius) and T(time in hours) is -
y = √180 sin (π/12.5)(t - 25) + 12
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Mr. Walters receives a dividend every 5 months and a royalty check every 6 months. He
received both payments in May 2019. When is the next time he would receive both
payments in the same month?
AS per the combination method, Mr. Walters receive both payments in the same month in the 6th time.
Combination method:
A way of adding equations together in such a way that the variables are set aside, one by one is called as combination.
Given,
Mr. Walters receives a dividend every 5 months and a royalty check every 6 months. He received both payments in May 2019.
Here we need to find the next time he would receive both payments in the same month.
While looking into the given question we have identified he following things,
Dividend payment = 5 months
Royalty payment = 6 months
Both payment received = May 2019.
So, according to the combination method,
The value of n = 6 and the value of x = 5
So, the next time he would receive both payments in the same month is
=> 6 C 5 = 6! / 5! (6 - 5)!
Which results the value as 6.
Therefore, on 6th time from this payment he will receive both in the same month.
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IXL Please Help Fast!
Answer:
y = 1/2 x + 3/2
Step-by-step explanation:
A perpendicular slope is the opposite reciprocal, so it is 1/2
2 = 1/2(1) + b To solve for b
2 = 1/2 + b Subtract 1/2 from both sides
1 1/2 = b
y = 1/2 x + 3/2
How does the graph of g(x) = (x − 4)3 + 5 compare to the parent function f(x) = x3?
The graph of g(x) = (x-4)3+5 compare to the parent function f(x) is g(x) is shifted 4 units to right and 5 units up.
What is transformation of function?
Transformation of functions means that the curve representing the graph either "moves to left/right/up/down" or "it expands or compresses" or "it reflects". For example, the graph of the function f (x) = x 2 + 3 is obtained by just moving the graph of g (x) = x 2 by 3 units up.
Given,
function g(x) = (x − 4)3 + 5 and compares to function f(x) = x3,
The graph of g(x) = (x-4)3+5 compare to the parent function f(x) is g(x) is shifted 4 units to right and 5 units up.
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Which is more, 6 liters or 6,001 milliliters?
Answer: 6,001 milliliters
Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.
Answer:
I believe 6 liters is more.
I'm taking the math pert tomorrow I've failed it 2 times already I've been studying nonstop for the past two weeks and still feel like I'm going to fail any tips on how to pass ?
two groups of hikers left camp at the same time. each traveled at a constant rate
group A covered 3/4 mile in 1/2 hour
It took Group B 3/4 hour to travel 1/3 mile
The group that travels faster when groups of hikers left camp at the same time and each traveled at a constant rate is group B.
How to calculate the rate?From the information, two groups of hikers left camp at the same time. each traveled at a constant rate.
Since group A covered 3/4 mile in 1/2 hour, the speed will be:
= Distance / Time
= 3/4 ÷ 1/2
= 1.5 miles per hour.
It took Group B 3/4 hour to travel 1/3 mile. The speed will be:
= Distance / Time
= 3/4 ÷ 1/3
= 2.25 miles per hour.
Group B had a faster speed.
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Complete question
Two groups of hikers left camp at the same time. each traveled at a constant rate
group A covered 3/4 mile in 1/2 hour
It took Group B 3/4 hour to travel 1/3 mile
Which group so travelling at a faster rate?
Evaluate the expression.
−5 × (−8 − 6 ÷ −3)
Answer:
=30
Step-by-step explanation:
-5×(-8-6÷-3)-5×(-8+2)........as -6÷-3=2-5×-630The graph of y = f(x) is graphed below. What is the end behavior of f(x)?
as x -> -infinity, y -> -infinity and as x-> infinity, y-> infinity
So, last option is correct
Here is a list of numbers:
3 6 9 7 4 6 7 0 7
Find:
a)
the median
b)
the range
C)
the mode
The mean is 5.4, median is 6, mode is 7 and the range is 9 when the given list of numbers are 3,6,9,7,4,6,7,0,7.
Given that,
The list of numbers are 3,6,9,7,4,6,7,0,7
The mean, median, mode, and range must be determined.
What is mean, median, mode and range?The "mean" is the standard "average," which is calculated by adding up all the numbers and dividing the result by the total number of numbers.
The value that sits in the middle of a set of numbers is known as the "median." Before you can find the median, your numbers must be listed in numerical order from smallest to greatest. This means that you might need to redo your list.
The "mode" value is the one that shows up the most often. There is no mode for the list if no number on the list is repeated.
A list of numbers' "range" is just the range between the largest and lowest values. It conveys "spread," which is the degree to which the values are scattered (or how concentrated they are).
Mean=(3+6+9+7+4+6+7+0+7)/9
Mean = 49/9
Mean = 5.4
Median is 0,3,4,6,6,7,7,7,9
The median is 6
Mode is 7
Range is
Greater number is 9 and the smallest number is 0
Difference is 9-0=9
Range is 9.
Therefore, The mean is 5.4, median is 6, mode is 7 and the range is 9 when the given list of numbers are 3,6,9,7,4,6,7,0,7.
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The sum of the speed of the two trains is 723.5 miles per hour. if the speed of the first train is 4.5 mph faster than that of the second train, find the speeds of each
The speed of first train is 364 miles per hour and the speed of second train is 359.5 miles per hour .
In the question,
it is given that ,
the sum of speed of two trains = 723.5 miles per hour
let the speed of the first train = x miles per hour
let the speed of the second train = y miles per hour ,
also given that , the speed of the first train is 4.5 mph faster than that of the second train , which means
x = y + 4.5 .
the sum is 723.5 ,
so , the equation is
x + y = 723.5
y + 4.5 + y = 723.5
2y + 4.5 = 723.5
2y = 719
y = 719/2
y = 359.5
So , x = 359.5 + 4.5 = 364 .
Therefore , The speed of first train is 364 miles per hour and the speed of second train is 359.5 miles per hour .
The given question is incomplete , the complete question is
The sum of the speed of the two trains is 723.5 miles per hour. if the speed of the first train is 4.5 mph faster than that of the second train, find the speeds of each train ?
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Can you solve please
Answer:
I'm assuming that you want to find x and y.
x = 18
y = 42
Step-by-step explanation:
Angle ACD = 138°
(5x + 2) + (2x + 10) = 138
7x + 12 = 138
7x = 126
x = 18
y + (5x + 2) + (2x + 10) = 180 (sum of adjacent angles on a straight line)
Substitute x = 18 into the equation.
y + 5(18) + 2 + 2(18) + 10 = 180
y + 90 + 2 + 36 + 10 = 180
y = 42
The reflection of (-2,-2) is ...
The reflection of (-1,1) is...
please help meeeeeeeeeee
The reflection of (-2, -2) and (-1, 1) are
preimage image
(-2, -2) (-4, -2)
(-1, 1) (-5, 1)
What is reflection?Reflection is one of the movements in transformation that involve creation of mirror image
Transformation rule for reflection over x-axis at origin (0, 0)) is
(x, y) → (x, -y)
Transformation rule for reflection over line y-axis at origin (0, 0)) is
(x, y) → (-x, y)
The reflection to be done is over line x = -3
However, reflection over line x = -3 which is (-3, 0) is done as follows
from -2 to -3 = -2 - -3 = 1 unit
reflecting 1 unit over x = -3
-3 - 1 = -4
(-4, -2)
(-2, -2) ⇒ (-2 - -3, -2) ⇒ (1, -2) ⇒ (-3 - 1, -2) → (-4, -2)
from -1 to -3 = -1 - -3 = 2 units
reflecting 2 units over x = -3
-3 - 2 = -5
(-5, 1)
(-1, 1) ⇒ (-1 - -3, 1) ⇒ (2, 1) ⇒ (-3 - 2, 1) → (-5, 1)
The calculation is simply saying put
(-2, -2) this point is just before the reflection line, the image will formed at the point just after the reflection line -3 which is -4 hence (-4, -2)
(-1, 1) this point is a line before the reflection line, the mirror image will be formed skipping a line (-4) to get to -5 hence the point (-5, 1)
the y coordinate is constant for both situations
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The length of the vector that represents z₁ = 6-8i is 10 because √6² + (-8)² = √√100 = 10.
a.
Find at least seven other complex numbers that can be represented as vectors that have length 10.
The vectors having length of 10 units are,
-6 + 8i , 10 , 10i , -10 , -10i , 3 + 9i , -3 + 9i
We have to find the seven complex numbers that have the length of 10 units.
So, the vectors having length of 10 units are,
1) -6 + 8i
2) 10
3) 10i
4) -10
5) -10i
6) 3 + 9i
7) -3 + 9i
Hence, the vectors having length of 10 units are,
-6 + 8i , 10 , 10i , -10 , -10i , 3 + 9i , -3 + 9i
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K
Assume that females have pulse rates that are normally distributed with a mean of μ-750 beats per minute and a standard deviation of e=125 beats per minute. Complete parts (a) through (c) below
B. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 69 beats per minute and 81 bears per minute
The probability that these four females have pulse rates with a mean between 69 beats per minute and 81 bears per minute, using the normal distribution and the central limit theorem, is of:
0.663 = 66.3%.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The parameters for the problem are given as follows:
[tex]\mu = 75, \sigma = 12.5, n = 4, s = \frac{12.5}{\sqrt{4}} = 6.25[/tex]
The probability that these four females have pulse rates with a mean between 69 beats per minute and 81 bears per minute is the p-value of Z when X = 81 subtracted by the p-value of Z when X = 69, hence:
X = 81:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
Z = (81 - 75)/6.25
Z = 0.96
Z = 0.96 has a p-value of 0.8315.
X = 69:
Z = (69 - 75)/6.25
Z = -0.96
Z = -0.96 has a p-value of 0.1685.
0.8315 - 0.1685 = 0.663 = 66.3%.
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help pleaseeeeee !!!
Answer:
[tex]\sqrt{6}, -\sqrt{6}[/tex]
Step-by-step explanation:
[tex]f(x)=x^3+3x^2-6x-18 \\ \\ =x^2(x+3)-6(x+3) \\ \\ =(x^2-6)(x+3) \\ \\ \implies (x^2-6)(x+3)=0 \\ \\ x=\pm \sqrt{6}, -3[/tex]
In triangle XYZ, m∠Z = (2m − 12)° and the exterior angle to ∠Z measures (3m + 7)°. Determine the value of m.
m = 42
m = 37
m = 19
m = 2.6
Answer:
m = 37
Step-by-step explanation:
The interior and corresponding exterior angle of a triangle are always supplementary.
Therefore, we can set the sum of the two given angle measures to 180°:
[tex](2m-12) \textdegree + (3m+7) \textdegree = 180 \textdegree[/tex]
and solve algebraically for m.
[tex]2m-12 + 3m+7 = 180[/tex]
[tex](2m + 3m) + (-12+7) = 180[/tex]
[tex]5m-12+7 = 180[/tex]
[tex]5m - 5 = 180[/tex]
[tex]5m = 185[/tex]
[tex]m=37[/tex]
The value of m is 37.
What is Linear pair?When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.
Given:
m ∠Z = (2m − 12)° and exterior angle ∠Z =(3m + 7)°.
int. m <Z + ext. <Z= 180
2m - 12 + 3m + 7 = 180
5m - 5 = 180
5m = 185
m = 185/ 5
m = 37
Hence, the value of m is 37.
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A continuous random variable is normally distributed. The probability that a value in the distribution is greater than 23 is 0.6784. Find the probability that a value in the distribution is less than 23.
The probability that are a normally distributed variable is less than 23 is 0.3216
What is normal distribution?The most significant probability distribution in statistics for independent, random variables is the normal distribution, sometimes referred to as the Gaussian distribution.
In statistical reports, its well-known bell-shaped curve is generally recognized.
While calculating for probability for normally distributed variables the relationship the relationship is written in the form
P > 23 = 1 - P < 23
0.6784 = 1 - P < 23
P < 23 = 1 - 0.6784
P < 23 = 0.3216
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Find the retail price of each item. Round to two decimal places when necessary.
Cost of oil change: $18.00
Markup: 70%
well, we know the price is $18, now, if we jack it up by 70%, well, what's 70% of 18?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{70\% of 18}}{\left( \cfrac{70}{100} \right)18}\implies 12.6~\hfill \underset{price}{\stackrel{18~~ + ~~12.6}{\text{\LARGE 30.60}}}[/tex]