Answer: -32+5√6
Step-by-step explanation:
(3√3 - 5√2) (2√3 + 5√2)=
(3√3 * 2√3) + (3√3 * 5√2) - (5√2 * 2√3) - (5√2 * 5√2) =
(3*2*√3*√3) + (3*5*√3*√2) - (5*2*√2*√3) - (5*5*√2*√2)=
6*3 + 15*√(3*2) - 10*√(2*3) - 25*2=
18+15√6-10√6-50=
18-50+(15-10)*√6=-32+5√6
3a. let’s explore the data. what are the mean lengths of yellowfish in each location? what are the variances? do they meet the assumption of equal variances?
(3a) The 95% confidence interval of σ[tex]_{1}^{2}[/tex]/σ[tex]_{2}^{2}[/tex] is: [0.1932 , 1.2032].
What is variance?Variance is the anticipated squared deviation of a random variable from its population mean or sample mean in probability theory and statistics.
F test for variances, using F distribution ([tex]df_{num}[/tex]=19,[tex]df_{denom}[/tex]=20) (two-tailed) (validation).
Hypotheses
[tex]H_{0}:sigma_{1} = sigma_{2}\\\\H_{1}:sigma_{1}\neq sigma_{2}[/tex]
1. H0 hypothesis
Since p-value > α, H0 is accepted.
The sample standard deviation (S) of LaJolla.res' population is considered to be equal to the sample standard deviation (S) of Pt.Loma.ke's population.
In other words, the difference between the sample standard deviation (S) of the LaJolla.res and Pt.Loma.ke populations is not big enough to be statistically significant.
2. P-value
The p-value equals 0.1152, ( p(x≤F) = 0.05759 ). It means that the chance of type I error, rejecting a correct [tex]H_{0}[/tex], is too high: 0.1152 (11.52%).
The larger the p-value the more it supports [tex]H_{0}[/tex].
3. The statistics
The test statistic F equals 0.4796, which is in the 95% region of acceptance: [0.3986 : 2.4821].
S1/S2=0.69, is in the 95% region of acceptance: [0.6313 : 1.5755].
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Evaluate the expression when y=−2 and z=−5.
10y2z=
The value of the expression 10y²z is -750.
How to calculate the expression?We are to calculate the expression 10y²z when y=−2 and z=−5.
This will be:
10y²z
= 10 × -5² × -3
= 10 × 25 × -3
= -750
The value of the expression 10y²z is -750.
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3/ax - 4 = 20 What is x?
x =
Answer:
[tex] \sf \large \: x=8a[/tex]
Step-by-step explanation:
Let's solve for x.
3/ax−4=20
Step 1: Multiply both sides by a.
−4a+3x=20a
Step 2: Add 4a to both sides.
−4a+3x+4a=20a+4a
3x=24a
Step 3: Divide both sides by 3.
3x/3 = 24a/3
x=8a
in one city , the ratio of the households with pets to house holds without pets is 30 to 29. if 20,735 households do not have pets, how many house holds have pets
The number of number of house holds have pets will be 21450 when 20,735 households do not have pets.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
It is given that the ratio of the households with pets to house holds without pets is 30 to 29 and if 20,735 households do not have pets then it is find the number of number of house holds have pets. It can be find out using the ratio correlation :
That is , 29 is the ratio of house holds without pets ⇒ 20735
1 unit of house holds without pet ⇒ 20735/29 = 715 house hold
Now, the ratio of households with pets ⇒ 30 x 715 = 21450 house hold
Therefore, the number of number of house holds have pets will be 21450 when 20,735 households do not have pets.
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Prepare a frequency table of the following scores obtained by 40 students in a
test:
24,16,17,30,28,20,15,24,16,18,18,15,16,20,25,24,25,20,16,15,18,25,20,18,28,27
,25,24,24,18,18,25,20,16,25,20,27,28,28,16.
This contains 20 points please help me quick
Answer:
Element Frequency Cumulative Frequency
15 3 3
16 6 9
17 1 10
18 6 16
20 6 22
24 5 27
25 6 33
27 2 35
28 4 39
30 1 40
Step-by-step explanation:
Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency
Cumulative frequency for first element is same as its frequency
Cumulative frequency for element 16 is 3 + 6 = 9
Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency
2x-5y=5
x - y table
graphh
Answer: -3/4
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: −3/4
y-intercept: (0,0)
x y
0 0
4 -3
44 < 5x6 and 5x - 6 ≤ 54
Answer:
5x - 6 ≤ 54
5x-6+6 ≤ 54+6
5x ≤ 60
divide by 5
x ≤ 12
Step-by-step explanation:
A company sells designer purses For $400 per purse. Usually, they sell 3000 purses per month. according to market research, they will sell 500 more purses for every 20$ reduction in price. write a function R(x) that models the company's revenue, where x is the number of price reductions. find the price that will generate the maximum revenue. find the maximum revenue.
The price that would yield maximum revenue is $260 and maximum revenue is $1,690,000
What is the revenue function?
The fact that total revenue of the company is the price per purse multiplied by the number of purses sold, means that the revenue modelled function is simply price multiplied by the quantity sold as shown below:
R(x)=P*x
R(x)=Px
R(3000)=$400*3,000
R(3000)=$1200,000
Note for every 500 more purses, the price reduces by $20
R(3500)=$380*3,500
R(3500)=$1,330,000
R(4000)=$360*4000
R(4000)=$1,440,000
R(4500)=$340*4500
R(4500)=$1,530,000
R(5000)=$320*5000
R(5000)=$1,600,000
R(5500)=$300*5500
R(5500)=$1,650,000
R(6000)=$280*6000
R(6000)=$1680,000
R(6500)=$260*6500
R(6500)=$1,690,000
R(7000)=$240*7000
R(7000)=$1,680,000
The total revenue fell at 7,000 purses, which means that the maximum revenue is $1,690,000 at 6500 purses
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A stationery shop orders a batch of pens from a factory. The factory could make the batch of pens in 20 days using 12 machines. Due to a fault, only 9 machines were used for the first 8 days. All 12 machines were used from day 9 onwards. Work out the total number of days taken to make the batch of pens.
The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.
Now, According to the question, the factories used all 12 machines in the last days, Also, for the first 8 days, only 9 machines were in use.
Thus, If the factories used all 12 machines, the batch of pens took 20 days to be manufactured.
Hence, the equation formed from the given information by basic algebra is: 20 + 12 - 9(8) / 12
28 - (72/12)
=28 - 6 = 22
Hence, The number of days taken to complete the production of a batch of pens are 22, as calculated by basic algebra.
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125+s is greater than or equal to 2300 in words
125 is greater than 23.
Given the question is to explain 125 > 23.
Here we have two numbers which are 125 and 23.
Inequalities:
Whenever we check the number which is greater or lesser by taking the difference between those two numbers we conclude which is greater or lesser.
If the difference between the numbers gets a positive number then the first number is greater than the second.
If the difference between the numbers gets a negative number then the first number is lesser than the second.
If the difference between the numbers gets zero value then the two numbers are equal.
So the difference between the given two numbers are
= 125 - 23
= 102
positive
So 125 is greater than 23.
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Your question is incomplete. Please find the complete question below
.Find 125 is greater than 23. Write about it in words.
Puzzle #4
1: Find the slope:
3: Find the slope:
(2,-6), (-4, -3)
2: Find the slope:
X
Y
-1
-12
1
-8
-4
0
35
5
4: Find the slope:
answer choices
B:
A:
C:
m=-2 m=0 m = 2
D:
m = -4
G:
m=
undefined
E: IF:
m =-
2
m = 4
I
H: -I:
m =
2
m =
Type the 4-
letter code into
the answer
box. All CAPS,
no spaces.
Does anyone know the code to puzzle 4???? Please
Answer:
1/-2
Step-by-step explanation:
Slope(m) = y2- y1/x2-x1
= -3-(-6)/-4-2
=+3/-6
=1/-2
Find FH
FH = {Blank}
Answer:
22
Step-by-step explanation:
By the segment addition postulate, FH=8+14=22.
The equation will be,
→ FH = FG + GH
Then the value of FH will be,
→ FH = 8 + 14
→ [ FH = 22 ]
Hence, the value of FH is 22.
Determine the constant rate of change
Simplify
x2 - 7x + 12
x2 -2x - 8
Answer:
5x+12
-8
Step-by-step explanation:
i think you have the problem wrong
If you roll a 6-sided die 66 times, what is the best prediction possible for the number of times you will roll an even number?
Answer:
33 times
Step-by-step explanation:
Set up an equation:
3 evens / 6 total = 1/2 probability of rolling an even
66 times x 1/2 probability= 33
Best prediction: 33 times
Hope this helps!
Jeremiah makes $15 an hour working part-time at a local fast food restaurant. He pays approximately 11% in taxes on his earnings. If h is his hours worked, model his weekly after-tax wages as a function w(h) of hours worked.
Step-by-step explanation:
11% = 0.11
the remaining part when subtracting 11% from the whole (100%) is 89%.
89% = 0.89
his after-tax wages are 89% of his total income.
w(h) = 15h × 0.89 = 13.35h
If angle 6 measures 9x+13 and angle 2 measures 11x-3 what is the measurement of angle 2
The measure of an angle 2 is 85°.
Given that, ∠6=9x+13 and ∠2=11x-3.
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.
As we know, corresponding angles are congruent.
So, ∠6= ∠2
⇒ 9x+13=11x-3
⇒ 13+3=11x-9x
⇒ 16=2x
⇒ x=8
Now, ∠2=11x-3
=11×8-3=85°
Therefore, the measure of an angle 2 is 85°.
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Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Answer:
SOLUTION: .−5x + 4y = 20. 10x − 8y = −40.
Step-by-step explanation:
First, solve the first equation for y. Then, substitute for y in the second equation. This equation is an identity
Write the value of π correct to 5 decimal places.
Answer:
3.14159
Step-by-step explanation:
The value of π correct to 5 decimal places is 3.14159.
What are Decimal Numbers?Decimal numbers are numbers which includes a whole number part and a fractional part.
The point separating both parts is the decimal point.
Pi, which is written as the Greek symbol π, is defined as the ratio of the circumference of any circle to the diameter of that circle.
We know that,
Circumference of a circle, C = 2 π r, where r is the radius.
2r will be the diameter.
π = C / 2r
The value of pi to 5 decimal places = 3.14159
Normally we use 3.14.
Hence the value of pi is 3.14159 to 5 decimal places.
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How do you add this expression? -1/2 + 2/7
Answer:
You can't
Step-by-step explanation:
i have already answered this question but got it wrong but really interested on the right answer
Answer:
You're right, It's option B.
Step-by-step explanation:
The expressions both share two common factors that are whole numbers; 9 and 6. Use those.
9: 1, 3, 9
6: 1, 2, 3, 6
PLEASE HELPPPPPPPPPP
Answer:
20 1/16
Step-by-step explanation:
please give brilliantest pls
Answer:
You have the correct answer [tex]20 \frac{1}{16}[/tex]
Step-by-step explanation:
question add 1 1/3 (−5/6) using the number line. select the location on the number line to plot the sum.
Answer:
Add 11/3+(-5/6)
17/6 it present on number line between
2 and
Step-by-step explanation:
Answer:
1 1/3 (−5/6) using the number line. select the location on the number line to plot the sum
Step-by-step explanation:
how many different letter arrangements can be obtained from the letters of the word statistically, using all the letters?
Different letter arrangements that can be obtained from the letters of the word statistically, using all the letters= 6,48,64,800
Given,
Total number of arrangements obtained = 6,48,64,800
Given words = STATISTICALLY
Total word count = 13
Here we have repeated alphabets as -
"S"s = 2
"T"s = 3
"A"s = 2
"I"s = 2
"L" = 2
Total permutations we have here = 13! / 2!2!2!2!3!
= 6,22,70,20,800 / 96
= 6,48,64,800
What is Permutation?A permutation of a set in mathematics is, broadly speaking, the rearranging of its components if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
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Members of a soccer team raised $2143.50 to go to a tournament. They rented a bus for $888.50 and budgeted $62.75 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
The equation to find the number of players the team can bring to the tournament is xx = ( 2,143.50 - 888.50 )/62.75 and the number of players the team can bring to the tournament is 20.
An equation is a mathematical statement that shows that two or more mathematical expressions are equal.
Equations express the equality of mathematical expressions by using the equation mark (=).
The total amount raised for the tournament is $2,143.50
The price to rent a bus is $888.50.
The cost of budgeted meals per player is $62.75.
The number of players the team can bring to the tournament is:
xx = ( 2,143.50 - 888.50 ) / 62.75.
xx = ( 2,143.50 - 888.50 ) / 62.75
xx = 1,255 / 62.75
xx = 20
Therefore, the equation to calculate the maximum number of players the team can enter the competition is xx = ( 2,143.50 - 888.50 ) / 62.75.
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A company is designing a new cylindrical water bottle. The volume of the bottle will be 179 cm to the power of 3. The height of the water bottle is 8.3 cm. What is the radius of the water bottle? Use 3.14 for [tex]\pi[/tex].
Answer: r=2.62 cm
Step-by-step explanation:
Cylinder Volume: V=πhr^2
179=π(8.3)r^2
179=8.3*3.14*r^2
179=26.062r^2
r^2=6.87
r=2.62 cm
The table shows the current heights and average growth rates of two different species of trees. State and solve an equation to find how long it will take for the two trees to be the same height.
Help with showing equation an answer please!!
The two different species of plants will take 5 years to reach the same height.
Given, from the table :
Tree specie A has a:
current height = 38 inches
and its annual growth = 4 inches
Therefore, total height is:
38 + 4x .. eq (1)
Tree specie B has a:
current height = 45.5 inches
and its annual growth = 2.5 inches
Therefore, total height is:
45.5 + 2.5x .. eq (2)
Equate equation 1 and equation 2.
38 + 4x = 45.5 + 2.5x
Subtract the constants.
4x = 45.5 - 38 + 2.5x
4x = 7.5 + 2.5x
now subtract the variables.
4x - 2.5x = 7.5
1.5x = 7.5
x = 7.5/1.5
x = 5
Hence the trees will take 5 years to reach the same height.
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line shown is -2/3
Slope of a lineThe formula for calculating the slope of a line is expressed according to the formula
Slope = Rise/Run
Slope = y₂-y₁/x₂-x₁
Using the coordinate point (-9,-2) and (-6, -4)
Slope = -4+2/-6+9
Slope = -2/3
Slope = negative two third
Hence the slope of the line shown is -2/3
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Rewrite the Expressions using Distributive Property
(2+3)6
Answer:
Step-by-step explanation:
If you distribute 6 to the numbers inside the parenthesis, it means that you multiply both number by 6
2 x 6 = 12
3 x 6 = 18
the expression can be rewritten like the following:
12 + 18 = 30
which one of the following pairs of numbers contains like fractions ?
A. 6/7 and 60/79
B.4/8 and 12/16
C. 1/2 and 3/2
D. 5/4 and 4/5
Answer:
C
Step-by-step explanation: