Answer:
3/5 and 18/30
Step-by-step explanation:
Extending answer so I can send
Question 4 Incorrect answer. Incorrect. Try again. Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x Overscript bar EndScripts Subscript 1 Baseline equals 289.30 and and another random sample of 16 gears from the second supplier results in x Overscript bar EndScripts Subscript 2 Baseline equals 321.50 and Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers
Answer:
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
Step-by-step explanation:
The given data is
Sample1 mean = x1` = 289.3
Sample 1 size = n1= 10
Sample 1 std. dev= s1= 22.5
Sample2 mean = x2` = 321.5
Sample 2 size = n2= 16
Sample 2 std. dev= s2= 21
1)Formulate the null and alternate hypothesis as
H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂
2)The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
where degrees of freedom = d.f=
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
3) the significance level chosen is ∝= 0.05
4) Calculating the d.f
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]
= 18
5) the critical region for ∝= 0.05 for 18 d.f = ±2.101 for two sided test
6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 289.3- 321.5/√21²/10 + 22.5²/16
t= -32.2/√44.1+31.64
t= -32.2/8.0729
t= -3.9886
7) Conclusion
Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers
Use the image to determine the direction and angle of rotation.
PLS HELP graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 1
270° counterclockwise rotation
180° clockwise rotation
90° counterclockwise rotation
90° clockwise rotation
Answer:
180
Step-by-step explanation:
180
Got it correct
f(x) = 2 - 4x
Solve for x when f(x) = 20
Answer:
x = -4.5
Step-by-step explanation:
\(20 = 2 - 4x\)
\(18 = - 4x\)
\( - 4.5 = x\)
(m-3)/(7)=(m)/(m+8) Solve the proportion.
Answer: m=6, m=-4
Step-by-step explanation:
To solve this proportion, we have to cross multiply.
\(\frac{m-3}{7} =\frac{m}{m+8}\)
\((m-3)(m+8)=7m\)
Now that we have cross multiplied, we actually need to FOIL the left side to expand the equation.
\(m^2+8m-3m-24=7m\)
Combine like terms.
\(m^2+5m-24=7m\)
We can move all terms to one side and then solve for m.
\(m^2-2m-24=0\)
We can actually factor this to:
\((m-6)(m+4)=0\)
We set each factor equal to 0 to find m.
m-6=0
m=6
m+4=0
m=-4
What is the answer to the question
Answer:
180 cm squared
Step-by-step explanation:
Area Of A Rectangle is Length times Width, so 20 times 9, which equals 180.
William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59
*Answer*
15:47
Step-by-step explanation:
He left; 15:03
Walk for; 12mins
Spends extra;4min
So by my side,
I'll sum up those values we're having to find the total time that was spent
12+4= 16mins
So, at that time when he reached at the station it was 15:19 when we add those extra mins
And so I think it'll 15:47
My thought told me so though
Select whether each value for x will make the inequality below a True or False statement. x + 2 > 5.8
Simplify
(2x– 3) (5x4 – 7x3 + 6x2 – 9)
A. 10x5 – 29x4 + 33x3 - 18x2 18x + 27
B. 10x5 - x4-9x3 – 18x2 -18x - 27
C. 10x5 + 29x4 – 33x3 + 18x2 + 18x - 27
D. 10x5 + x4 + 33x3 + 18x2 + 18x + 27
Answer: (A)=10x5−29x4+33x3−18x2−18x+27
Step-by-step explanation:
How i solved it was by simplifying each answer there was available and (A) was the most compatiable answer!
=(2x+−3)(5x4+−7x3+6x2+−9)
=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)
=10x5−14x4+12x3−18x−15x4+21x3−18x2+27
=10x5−29x4+33x3−18x2−18x+27
Answer:
=(2x+−3)(5x4+−7x3+6x2+−9)
=(2x)(5x4)+(2x)(−7x3)+(2x)(6x2)+(2x)(−9)+(−3)(5x4)+(−3)(−7x3)+(−3)(6x2)+(−3)(−9)
=10x5−14x4+12x3−18x−15x4+21x3−18x2+27
=10x5−29x4+33x3−18x2−18x+27
Step-by-step explanation:
Write an equation perpendicular to y= 3/4x -1 that passes through the point (3,-3)
Answer:
y = -x or y= -2x+3 will work
sheila___ her case, look .( had picked,have picked , picked.)
Answer:
picked
Step-by-step explanation:
It is the only one that sounds correct.
Answer:
hi,
i think the answer can be picked
Step-by-step explanation:
picked is the answer
What is the difference between a bar chart and a histogram?
Answer:
In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.
bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.
but,
Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
What is the value of the expression? (7 - 2.3)2 + 52 A.) 12 B.) 25 C.) 26 D.) 32 1
Answer:
61.4
Step-by-step explanation:
(7-2.3)2+52
4.7×2+52
9.4+52
61.4
I got the answer but not in the option. just cross check as I used BEDMAS
Step-by-step explanation:
A.52&274?^`{€™£{~[£[√=
9 gal 1qt -5 gal 3qt
Answer:
3 gallons & 2 quarts.
Step-by-step explanation:
9 gallons & 1 quart - 5 gallons & 3 quarts
well, we know there are 4 quarts in a gallon
9 - 5 = 4, but we would break one gallon into 4 quarts to make subtracting the quarts easier, making it 3 gallons
5 quarts - 3 quarts = 2 quarts
your answer is 3 gallons & 2 quarts, have a nice day
A baseball player hit 345 out of 1,000 balls pitched to him. What are the chances he gets a hit when he steps up to the plate?
Answer:
0.345
Step-by-step explanation:
hits/at-bats = 345/1000 = 0.345
The probability of a hit, any particular time he goes to bat. is 0.345.
The problem does not request any particular format, so 0.345 is a perfectly good answer.
In baseball, that is called a 'batting average', and is actually expressed that way - as a decimal - in a player's statistics.
On the other hand, if we did want to express the probability as a percentage, we would do this:
0.345 * 100% = (0.345 * 100) % = 34.5 %
Hope this helps
The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is what
. The probability that both the first digit in the last digit of the three digit number are even numbers is what
The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.
To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:
P(n, r) = n! / (n-r)!
In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:
P(6, 3) = 120
We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:
2 x 4 x 3 = 24
The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:
24/120 = 0.2 or 20%
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Write and solve an inequality to find the possible values of x.
The inequality tha calculates the possible values of x is x < 2
How to determine the inequality tha calculates xFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
3x + 2 < 10
And, we have
2x + 6 < 10
Evaluate the expressions
So, we have
3x < 8 and 2x < 4
Evaluate
x < 8/3 and x < 2
Hence, the inequality tha calculates x is x < 2
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Ellie takes her dog, Jack, for a 3 mile walk each day. On the first part of the walk, they go 2 mph. Then for the second part of their walk, they go 3 mph but for half the time that they went 2 mph. How long was their walk in hours?
Answer:
the entire walk is 9/7 hours i think
Nate has a deductible of $1,000 and a collision coverage limit of $5,000. He damages his car in an accident and it will cost $7,000 to repair. How much does Nate have to pay total out of pocket for this claim?
Nate has a deductible of $1,000, which means he is responsible for paying that amount out of pocket before his insurance coverage kicks in. The cost of repairing his car is $7,000, which exceeds his deductible.
However, Nate's collision coverage limit is $5,000, which is the maximum amount his insurance will cover for repairs.
Since the cost of repairs exceeds Nate's coverage limit, he will have to pay the difference between the coverage limit and the actual repair cost.
In this case, Nate's out-of-pocket expenses would be $7,000 (repair cost) - $5,000 (coverage limit) = $2,000.
Therefore, Nate will have to pay a total of $2,000 out of pocket for this claim, which includes his $1,000 deductible and the additional $1,000 that exceeds his coverage limit.
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Beth walk two blocks in 15 minutes how many blocks or bad word if she walked at the same rate for an hour
The answer for this given question is 8 blocks
Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
basic rules of algebra
• Commutative Rule of Addition.
• Commutative Rule of Multiplication.
• Associative Rule of Addition.
• Associative Rule of Multiplication.
• Distributive Rule of Multiplication.
15*4= 60, meaning a full hour.
15 minutes = 2 blocks
15 minutes = 2 blocks
15 minutes = 2 blocks
15 minutes = 2 blocks
add them all up and we get that in 60 minutes (an hour) Beth walked 8 blocks.
Hence, Beth walked 8 blocks in 60 minutes of time.
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Y (4)
+4y ′′
+4y=0 A general solution with x as the independent variable is y(x)=
Answer:
Step-by-step explanation:
We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.
For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,
y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0
(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.
Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get
yp″=a1+2a2x....yp‴=2a2+3a3x+....
Substituting the general solution into the non-homogeneous equation, we get
a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)
So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:
a(n+1)=Y(n-2)/n^2
From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.
write 15/7 as a mixed number
The result can be shown in multiple forms.
Exact Form:
15/7
Decimal Form:
2.142857
Mixed Number Form:
2 1/7
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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m
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much love <333 good bye!!
An average person consumes 2,000 calories each day
Which best describes the association shown in the scatter plot? (Geometry)pls reply immediately as to why it's that answer!
A. Strong negative
B. no association
C. Strong positive
D. Moderate negative
Answer:
D
Step-by-step explanation:
The associating is definitely negative. As the variable y is increasing, the variable x is increasing. You could draw a line with a negative slope, but the points could be closer together. The close the dots are together to making a straight line, the stronger the association.
The following angles are supplementary to each other.
m∠C = (x + 19)° and m∠D = (3x − 19)°
Determine x.
60
45
38
19
Answer:
45
Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180
Answer: 45
Step-by-step explanation:
Did the test.
kx^2+k=8x-2xk
Find the range of values of k- there are two distinct roots.
I’m pretty sure you need to use the discriminate but i’m stuck so pls could somebody show me step by step
Answer:
i cant understans the quedtoion its worng bro
Can someone tell me why the answer for this absolute value equation is all real numbers?
Answer:
yo its not that hard it just means that it can be any number
A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula
represents the volume of the pyramid?
A. V = 1/12 s ^3
B. V=1/6 s ^3
C. V=1/3s ^3
D. V=3s³
E. V=6s³
Answer:
The volume of the pyramid with a base area of s² and the heights iss
The formula for calculating the volume of a square based pyramid is expressed as:
Volume = 1/3* Base area* Height
Since it is a square-based pyramid, the base area is calculated as:
Base Area = s ^ 2
If the height of the pyramid is equal to of the length of a side on the base, hence h = s
Substituting the base area and the height into the formula for the volume, this will give;
V = BH / 3
V = (s ^ 2 * s)/3
V = (s ^ 3)/3
V = 1/3 * s ^ 3
Hence the volume of the pyramid with a base area of s ^ 2 and the height s is 1/3 * s ^ 3
Find the set of the solutions of each of the following absolute value inequalities. Check your answers. |(x+1)/2 - x/2|<1/2
Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1
Explain about the absolute value inequalities:The comparison of the connection here between variable and its value is a compound inequality. In a compound inequality, a variable is compared across two ranges which may provide the variable's range by satisfying either one or both of the limitations .
The given absolute value inequalities :
|(x+1)/2 - x/2| < 1/2
Removing the modulus sign will for 2 equations:
(x+1)/2 - x/2 < 1/2 and (x+1)/2 - x/2 < - 1/2
Simplifying each:
(x+1)/2 - x/2 < 1/2
x/2 + 1/2 - x/2 < 1/2
Both values will get cancelled:
0 < 0
But 0 = 0
and (x+1)/2 - x/2 > - 1/2
x/2 + 1/2 - x/2 > -1/2
0 > -1 (correct)
here also the terms are getting completely cancelled to
Thus, the solution set of the given absolute value inequalities is found as: 0 ≥ x ≥ -1
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Complete question:
Find the set of the solutions of the following absolute value inequalities.
|(x+1)/2 - x/2| < 1/2
Find the value of x so that the function has given value
M(x)=4x+15; m(x)=7
Determine a matriz x sabendo que:
(1 5) * X ( 6 8)
Answer:
es esta 1/5 y 6/8 o 15 y 68?