Answer:
Step-by-step explanation:
The sum of opposite angle and sides of a parallelogram is 180 . If a parallelogram JKLM has angle measures J(2 x +9) and M(6 x -1), then <J + < M = 180
Substitute:
2 x +9+6x-1 = 180
collect like terms;
2x+6x+9-1 = 180
8x+8 = 180
8x = 180-8
8x = 172
x = 172/8
x = 21.8°
For the shape to be a quadrilateral, then the measure of angle k must 128 degrees
For quadrilateral PQRS to be an actual quadrilateral, then:
[tex]K = M[/tex] --- opposite angles of quadrilateral[tex]J + M= 180[/tex] --- adjacent angles of quadrilateral[tex]J + M = 180[/tex] implies that:
[tex]2x + 9 + 6x -1 = 180[/tex]
Collect like terms
[tex]2x + 6x = 180 -9 +1[/tex]
[tex]8x = 172[/tex]
Divide both sides by 8
[tex]x = 21.5[/tex]
We have:
[tex]K = M[/tex]
This becomes
[tex]K = 6x -1[/tex]
Substitute 21.5 for x
[tex]K = 6\times 21.5 -1[/tex]
[tex]K = 129 -1[/tex]
Subtract 1 from 129
[tex]K = 128[/tex]
Hence, the measure of angle K must be 128 degrees
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A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow.
Hours Of Sleep 39 or Younger 40 or Older
Fewer than 6 38 36
6 to 6.9 60 57
7 to 7.9 77 75
8 or More 65 92
Required:
a. Conduct a test of independence to determine whether hours of sleep are independent of age. Using α= 0.05 level of significance
b. Compute the value of the 2 test statistic.
c. The p-value is:________
d. What is your conclusion?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
________Hours of sleep______
Age ___<6__6-6.9___ 7-7.9 __≥8 ___total
≤ 39___38___60_____77____65____240
≥ 40___36___57_____75____92____260
A.) test of independence for row and column variables :
Null: row and column variables are independent
Alternative : row and column variables are not independent
Expected frequencies :
[(row total) * (column total] / sample size
E1: ((38+60+77+65)*(38+36))/500 = 35.52
E2: ((38+60+77+65)*(60+57))/500 = 56.16
E3: ((38+60+77+65)*(77+75))/500 = 72.96
E4: ((38+60+77+65)*(65+92))/500 = 75.36
E5: ((36+57+75+92)*(38+36))/500 = 38.48
E6: ((36+57+75+92)*(60+57))/500 = 60.84
E7: ((36+57+75+92)*(77+75))/500 = 79.04
E8: ((36+57+75+92)*(65+92))/500 = 81.64
Then performing the Chisquare independence test X²
X² = Σ[(f1-e1)²/e1 + (f2-e2)²/e2... (fn - en)²/en]
F1 to f8 = 38,60,77,65,36,57,75,92
X² = ((38-49.92)^2)/35.52 + ((60-56.16)^2)/56.16 + ((77-72.96)^2)/72.96 + ((65-75.36)^2)/75.36 + ((36-38.48)^2)/38.48 + ((57-60.84)^2)/60.84 + ((75-79.04)^2)/79.04 + ((92-81.64)^2)/81.64
= 4.0070162
X² = 4.00
α = 0.05
Reject Null if p < α
df = (row - 1)*( column - 1)
df = (2 - 1)*(4-1) = 1*3 = 3
To obtain the p value, we can use an online calculator to compute the P-value from the X² square score at α = 0.05 and 3 degree of freedom
p = 0.261
Since ; p > α ; 0.261 > 0.05 ; The result is not significant at α 0.05 ; Hence we fail to reject the Null.
NEED WORKOUT WITH ANSWER
Which statement is true? Select three options.
A. Volume is the amount of space inside an object
B. Surface area and volume are measured in cubic units.
C. Surface area is the sum of the areas of the faces of an object.
D. Surface area and volume are measurements of three-dimensional objects.
E. The volume of a pyramid is the product of the area of the base and height.
Answer:
A-Volume is the amount of space inside an object.
C-Surface area is the sum of the areas of the faces of an object.
D-Surface area and volume are measurements of three-dimensional objects.
Step-by-step explanation:
Got it right on edge unit test
The true statements are:-
A-Volume is the amount of space inside an object.
C-Surface area is the sum of the areas of the faces of an object.
D-Surface area and volume are measurements of three-dimensional objects.
What is volume?Volume is defined as the space occupied by any object in the three dimensions. All three parameters are required for the volume like length, width, and height of the cube.
The correct statements can be written below:-
A-Volume is the amount of space inside an object.
C-Surface area is the sum of the areas of the faces of an object.
D-Surface area and volume are measurements of three-dimensional objects.
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rectangular boat pictured below is floating in water with a density of 1.0 g/mL. The sides of the boat are 4.5 cm high, and the base of the boat measures 10.0 cm x 5.0 cm. What is the maximum load this boat could hold without sinking?
Boat
A. 49 g
B. 199 g
C. 224 g
D. 484 g
Answer:C
Step-by-step explanation:
The maximum load this boat could hold without sinking is 225 g. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the rectangular boat pictured below is floating in water with a density of 1.0 g/mL. The sides of the boat are 4.5 cm high, and the base of the boat measures 10.0 cm x 5.0 cm.
The weight will be calculated as,
Density = mass/volume
1 = mass / ( 5 x 10 x 4.5 )
mass = 225 g
Hence, the correct option is C.
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 pi times 1.5 to the second power times eight
Answer:
56.54866776
Step-by-step explanation:
:) Hope this helps
56.5486677646
or just 56.54 works :)
an airplane was at 34500 feet in the air
Answer:
And....? Is there anything else to it?
Find the equation of the line when the x-intercept is 3, and (-2, 10)
Answer:
y = -2x +6
Step-by-step explanation:
For the two points (3, 0) and (-2, 10), the equation of the line can be written using the two-point form.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (10 -0)/(-2 -3)(x -3) +0
y = 10/-5(x -3)
y = -2x +6
Can anybody help me as soon as possible. Model with mathematics. The weight of a pen manufactured at the PEN factory is 8g. The actual weight can vary as much as 2g. Write and solve an inequality to represent all acceptable weights for a pen at this factory.
*25 POINTS*
Answer:
[6, 10]Step-by-step explanation:
Let the weight of a pen be x
Then its weight can be between
8 - 2 = 6 g and 8 + 2 = 10 gThis can be shown as
8 - 2 ≤ x ≤ 8 + 26 ≤ x ≤ 10x = [6, 10]HELP ME AS SOON AS POSSIBLE PLEASE HELP ME
what is i to the 97th power minus i
Answer: 0
i⁹⁷ - i = 0
Please help me. ____\\\\\\\\\[]_____
2x3=
30x20=
200x300=
3000x2000=
____________
2/4=
20/40=
200/400=
2000/4000=
Answer:
1. 6
2. 600
3. 60,000
4 6,000,000
5. 0.5
6. 0.5
7. 0.5
8. 0.5
Explanation:
It is simple math and also you put the last on 30,000x2,000 I Know what you meant so I fixed it.
Plzzzz help like just plzzzzz In Alana's math class, there are 12 boys and 13 girls. What is the ratio of boys to girls?
Suppose number of hours employees work in a week at a company are normally distributed with an unknown population mean and a population standard deviation of 2 hours. A random sample of 65 employees weekly hours is taken. These gave a sample mean time of 39 hours. Find the error bound (EBM) of the confidence interval with a 95% confidence level. A 2 by 5 z-table.
Answer:
0.49
Step-by-step explanation:
We can use the formula to find the error bound:
EBM=(zα/2)(σ/√n)
We know that σ=2 and n=65. We are also given that the confidence level (CL) is 95%, or 0.95. So, we can calculate alpha (α).
α=1−CL
=1−0.95
=0.05
Since α=0.05, we know that α2=0.05/2=0.025. The value of z0.025 is 1.960.
Now we can substitute the values into the formula to find the error bound.
EBM=(zα/2)(σ/√n)
=(1.960)(2/√65)
≈(1.960)(0.248)
≈0.49
So, the error bound (EBM) is 0.49.
3 friends split $55.00 evenly
Answer:
18.
Step-by-step explanation:
Answer:
We divide right? if yes then great!
18 remainder 3 so 18.3
Marty ran 2.62 miles four days in a row. How far did he run all four days this week?
Answer:
10.48
Step-by-step explanation:
Answer:
10.48 mi
Step-by-step explanation:
2.62 times 4= 10.48
1. How did Muhammad’s death in 632 affect the Muslim state he had established?
Why were the Muslims able to conquer the powerful Byzantine and Persian Empires in just 20 years??
Why did many Jews, Christians, and other non-Muslims convert to Islam in the growing Muslim empire?
Why was Abu Bakr important to the survival of the Muslim state??
How did the conquering caliphs treat their non-Muslim subjects??
Answer:
tbh not sure sorry hope somebody anwsers
Step-by-step explanation:
WILL GIVE BRAINLIEST
- What is the measure of angle ABE?
M
A. 140
B. 180
C. 45
D. 40
Solve for X then find the measure of DEF. Write your answers in decimal form.
Answer:
Since EF bisects ∠DEF, we know that EF splits ∠DEF in 2 halves from the word 'bisects', which can be written as 'bi- sects' , where bi means 2 and sects means sections
Hence, ∠DEG = ∠GEF --------------(1)
We are given the measure of these angles:
∠DEG = 3x - 4
∠GEF = x + 13
Now, replacing the values in (1):
3x - 4 = x + 13
2x = 17
x = 17/2
Now, finding the measure of ∠DEF:
∠DEF = ∠DEG + ∠GEF
∠DEF = 3x - 4 + x + 13
∠DEF = (51 / 2) - 4 + (17/2) + 13 (x = 17/2)
∠DEF = 34 - 4 + 13
∠DEF = 43°
3/12 + -1 2/3 as a improper fraction
Answer:-17/12
Step-by-step explanation:
convert fractions, subtract
Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 19140 L at 4:47 PM and 8097 L at 5:05 PM the same day, how many liters will the tank contain at 5:11 PM that day?
Answer:
The liters that the tank will contain at 5:11 PM that day are:
4416 Liters.Step-by-step explanation:
Firstly, you must identify the outlet flow of the water pumped from the tank, for this, you must subtract the last volume given from the first volume:
19,140 L - 8,097 L = 11,043 LAnd the minutes that passed from the first volume until the last volume given (18 minutes from 4:47 PM to 5:05 PM), so, you must divide that two values to obtain the outlet flow:
Outlet flow = [tex]\frac{Volume}{Time}[/tex] Outlet flow = [tex]\frac{11,043 L}{18 min}[/tex] Outlet flow = 613.5 [tex]\frac{L}{min}[/tex]Now, you must see the next hour given (5:11 PM), if you see, from 5:05 PM to 5:11 PM has passed 6 minutes, taking into account this, you replace the equation of outlet flow to clear the volume:
Outlet flow = [tex]\frac{Volume}{Time}[/tex] Volume = Outlet flow * timeAnd replace the values to obtain the new volume pumped:
Volume = 613.5 [tex]\frac{L}{min}[/tex] * 6 minVolume = 3681 L.At last, you must subtract these liters from the last volume identified in the tank:
New Volume in the tank = 8097 L - 3681 LNew Volume in the tank = 4416 LThe volume in the tank at 5:11 PM is 4416 Liters.
The tank will contain 4416 L of water at 5:11 PM .
Rate of discharge of water:Given that, the tank contains 19140 L at 4:47 PM and 8097 L at 5:05 PM
It means that, in 18 minutes the amount of water discharge is,
[tex]=19140-8097=11043L[/tex]
The rate of flow is,
[tex]=\frac{11043}{18}=613.5L/min[/tex]
From 5:05 PM to 5:11 PM , six minutes are passes.
Water discharge in that six minute is ,
[tex]=613.5*6=3681L[/tex]
The tank will contain at 5:11 PM is,
=[tex]8097-3681=4416L[/tex]
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What value of x makes the equation true? 5x+3x–32+12=180
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation
(5x+3x)+(-32+12)=180
8x-20=180
Step 2: Add 20 to both sides.
8x-20+20= 180+20
8x= 200
Step 3: Divide both sides by 8
8x/8= 200/8
x= 25
A product can be made in sizes huge, average and tiny which yield a net unit profit of $14, $10, and$5, respectively. Three centers manufacture these products. The centers respectively have a capacity ofturning out 550, 750, and 275 units of the product per day, no matter what sizes are involved. The manufacturing process necessitates cooling water and each unit of huge, average, and tiny sizesproduced require 22, 16, and 9 gallons of water, respectively. Center 1 has 11,000 gallons of coolingwater available per day, Center 2, 7000, and Center 3, 4000 gallons. The daily demand is of 710, 900,and 350 units of the huge, average, and tiny siz. By company policy, the fraction (scheduled production)(center's capacity) must be the same at all the centers. The company wishes to maximize its profits.
Required:
Model this problem as a linear program
Answer:
The model is:
z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃ to maximize
Subject to:
First center X₁₁ + X₂₁ + X₃₁ ≤ 550
Second center X₁₂ + X₂₂ + X₃₂ ≤ 750
Third center X₁₃ + X₂₃ + X₃₃ ≤ 275
22* X₁₁ + 16* X₂₁ + 9*X₃₁ ≤ 11000
22* X₁₂ + 16* X₂₂ + 9*X₃₂ ≤ 2700
22*X₁₃ + 16* X₂₃ + 9*X₃₃ ≤ 3400
X₁₁ + X₁₂ + X₁₃ ≤ 710
X₂₁ + X₂₂ + X₂₃ ≤ 900
X₃₁ + X₃₂ + X₃₃ ≤ 350
2700*(X₁₁ + X ₂₁ + X₃₁) - 11000*(X₁₂ + X₂₂ + X₃₂) = 0
3400*(X₁₁ + X ₂₁ + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0
Xij >= 0
Step-by-step explanation:
Let´s call Xij product size i produced in center j
According to this, we get the following set of variable
X₁₁ product size huge produced in center 1
X₁₂ product size huge produced in center 2
X₁₃ product size huge produced in center 3
X₂₁ product size average produced in center 1
X₂₂ product size average produced in center 2
X₂₃ product size average produced in center 3
X₃₁ product size-tiny produced in center 1
X₃₂ product size-tiny produced in center 2
X₃₃ product size-tiny produced in center 3
Then Objective function is
z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃
Constrains
Center capacity
1.- First center X₁₁ + X₂₁ + X₃₁ ≤ 550
2.- Second center X₁₂ + X₂₂ + X₃₂ ≤ 750
3.- Third center X₁₃ + X₂₃ + X₃₃ ≤ 275
Water available
1.- 22* X₁₁ + 16* X₂₁ + 9*X₃₁ ≤ 11000
2.- 22* X₁₂ + 16* X₂₂ + 9*X₃₂ ≤ 2700
3.- 22*X₁₃ + 16* X₂₃ + 9*X₃₃ ≤ 3400
Demand constrain
Product huge
X₁₁ + X₁₂ + X₁₃ ≤ 710
Product average
X₂₁ + X₂₂ + X₂₃ ≤ 900
Product tiny
X₃₁ + X₃₂ + X₃₃ ≤ 350
Fraction SP/CC must be the same
First and second centers fraction SP/CC
(X₁₁ + X ₂₁ + X₃₁)/ 11000 = (X₁₂ + X₂₂ + X₃₂)/ 2700
2700*(X₁₁ + X ₂₁ + X₃₁) - 11000*(X₁₂ + X₂₂ + X₃₂) = 0
First and third centers fraction SP/CC
(X₁₁ + X ₂₁ + X₃₁)/ 11000 = ( X₁₃ + X₂₃ + X₃₃)/ 3400
3400*(X₁₁ + X ₂₁ + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0
The model is:
z = 14* X₁₁ + 14*X₁₂ + 5*X₁₃ + 10*X₂₁ + 10*X₂₂ + 10*X₂₃ + 5*X₃₁ + 5*X₃₂ + 5*X₃₃
Subject to:
First center X₁₁ + X₂₁ + X₃₁ ≤ 550
Second center X₁₂ + X₂₂ + X₃₂ ≤ 750
Third center X₁₃ + X₂₃ + X₃₃ ≤ 275
22* X₁₁ + 16* X₂₁ + 9*X₃₁ ≤ 11000
22* X₁₂ + 16* X₂₂ + 9*X₃₂ ≤ 2700
22*X₁₃ + 16* X₂₃ + 9*X₃₃ ≤ 3400
X₁₁ + X₁₂ + X₁₃ ≤ 710
X₂₁ + X₂₂ + X₂₃ ≤ 900
X₃₁ + X₃₂ + X₃₃ ≤ 350
2700*(X₁₁ + X ₂₁ + X₃₁) - 11000*(X₁₂ + X₂₂ + X₃₂) = 0
3400*(X₁₁ + X ₂₁ + X₃₁) - 11000*( ( X₁₃ + X₂₃ + X₃₃) = 0
Xij >= 0
Help. (Math)
1. Using the geometry tools below, construct a bisection of the line segment EF.
2. Using the geometry tools below, construct a copy of the angle ABC below.
Answer:
...................................
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP ASAP HELP
Answer:
is this in slope intercept form for what kind
Answer:
i just joined and i get points for an answer, im sorry i cant answer te question
Complete the synthetic division problem below.
-1/2 7 5
What is the quotient in polynomial form?
A. X-5
B. 2x-5
C. 2x + 5
D. X + 5
The quotient of the synthetic division problem -1 | 2 7 5 in polynomial form is 2x + 5
How to determine the quotient?The synthetic division problem is given as:
-1 | 2 7 5
Remove the number before the | sign
2 7 5
Remove the middle number
2 5
Introduce a variable starting from an exponent of 0 (let the variable be x)
2x¹ 5x⁰
Evaluate the exponents
2x 5
Express as sum
2x + 5
Hence, the quotient of -1 | 2 7 5 in polynomial form is 2x + 5
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The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every
customer who spends more than a certain amount per visit at this supermarket. The expectation of the
management is that after this promotional policy is advertised, the expenditures for all customers at this
supermarket will be normally distributed with a mean of $95 and a standard deviation of $16. If the
management wants to give free gifts to at most 13.57% of the customers, what should the amount be
above which a customer would receive a free gift?
Answer:
X ≥ 112,6 $
Step-by-step explanation:
Normal Distribution N ( 95 , 16 )
μ₀ = 95
σ = 16
We need to get z (score) for area 0,1357; then from z - Table we get
z (score) = 1,1
Now z (score ) = ( X - μ₀ )/σ
1,1 = ( X - 95 ) / 16
17,60 + 95 = X
X = 112,6 $
That means that in order to get a gift customes has to spend at least 112,6 $
Which input value produces the same output value for
the two functions on the graph?
NO
O x=-3
O x= -2
O x= -1
O x=3
1-3 -2 -1
1 2 3 4 5 x
4
Answer:
x= 3 ; the answer choice D.
Step-by-step explanation:
EDGE 2020, just took the test.
3. Fill in the blank to make this equation true.
- (-20) = -62
Answer:
-82
Step-by-step explanation:
(-62) - (-20) = -82
pls help!!! I will make you brainiest!!!!! What is the rate of change?
Answer:
the rate iof change is 286
Step-by-step explanation:
Answer:
Rate of Change is 65
Step-by-step explanation:
260/4 = 65
585/9 = 65
845/13 = 65
1105/17 = 65
1625/25 = 65