Answer:
5 letters distance
Step-by-step explanation:
A manufacture of spark plugs how's it going producing less than 2% affective ones. Of the last 8000 spark plugs, 13 were defective. a. What is the experimental probability that the next sparkplug will be defective? b. Did the manufacture reach his goal? Explain.
Answer:
P = 0.001625
yes, it did
Step-by-step explanation:
given data
affective ones = 2%
spark plugs = 8000
defective = 13
to find out
experimental probability that the next sparkplug will be defective and Did the mannufacturer reach its goal
solution
we know that there are 13 are defective out of 8000
so P = 13 ÷ 8000
P = 0.001625
so that P( the next sparkplug will be defective) is = 0.001625
and
yes, we mannufacturer to reach goal
because 0.001625 < .02
So, the goal is reached as the experimental probability is less than 2%
which one is greater , 65% or 3/5
Answer:
Step-by-step explanation:
65% is greater
−3x−9y=−12
−3x+7y=4
solve for x
Answer:
[tex] \huge{ \boxed{ \boxed{ \sf{ \red{ \sf{x = 1}}}}}}[/tex]
Step - by - step explanation :
[tex] \underline{ \underline{ \sf{Solution}}} : [/tex]
USING ELIMINATION METHOD :
[tex] \sf{ - 3x - 9y = - 12}[/tex] ••••••• equation ( i )
[tex] \sf{ - 3x + 7y = 4}[/tex] ••••••• equation ( ii )
Subtracting equation ( ii ) from ( i )
Note that while subtracting equation ( ii ) from ( i ) , sign of each term of equation ( ii ) changes and hence becomes 3x - 7y = -4.
[tex] \sf{ \cancel{ - 3x} - 9y = - 12}[/tex]
[tex] \sf{ \cancel{3x} - 7y = - 4}[/tex]
_____________________
➺ [tex] \sf{ - 16y = - 16}[/tex]
➺ [tex] \sf{ \frac{ - 16y}{ - 16} = \frac{ - 16}{ - 16}} [/tex]
➺ [tex] \sf{y = 1}[/tex]
The value of y is 1. Since , we are asked to find the value of x , substituting the value of y in equation ( i) , we get :
➺ [tex] \sf{ - 3x - 9 \times 1 = - 12}[/tex]
➺ [tex] \sf{ - 3x - 9 = - 12}[/tex]
➺ [tex] \sf{ - 3x = - 12 + 9}[/tex]
➺ [tex] \sf{ - 3x = - 3}[/tex]
➺ [tex] \sf{ \frac{ - 3x}{ - 3} = \frac{ - 3}{ - 3}} [/tex]
➺ [tex] \sf{ x = \boxed{ \bold{ \red{ \sf{1}}}}}[/tex]
Hence , the value of x is 1 .
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☞ [tex] \underline{ \sf{Extra \: Info}} : [/tex]
There are many methods to solve such simultaneous equations. They are :
Graphical method : In this method , we find a few pairs of solutions to each of two given equations. The pairs of solutions of each equation are plotted in a graph and by joining them, two separate straight line lines are obtained. The coordinates of the point of intersection of two straight lines are the solutions to the given equation.Elimination method : In this method, we add or subtract the given equations to eliminate one of the two variable by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.Substitution method : In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equations.⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
✑ Learn more :
Solve system of equations using elimination method :
https://brainly.com/question/20160304
What is the substitution method ?
https://brainly.com/question/15936865
Hope I helped ! ツ
Have a wonderful day / night ♡
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{(1, -2), (-2, 0), (-1, 2), (1, 3)}
determine if the following relations are functions. then state the domain and range.
what is the power to 2
Answer: i think its 4
Step-by-step explanation:
Can somebody please help me this is all I need
Which equation translates the sentence, "Three times the number m plus ten is equal to n"?
Answer: c
Step-by-step explanation:
A school has 320 girls and 250 boys the probability of a girl being left handed is 0.2 the probability of a boy being left handed is 0.1 estimate the amount of left handed people there are in the school
320 girls & 250 boys
0.2 probability 0.1 probability
320 x 0.2 = 64
250 x 0.1 = 25
64 + 25 = 89
There are approximately 89 students in the school that are left-handed.
Answer
89% of the people are left handed
Step-by-Step Explanation
To find this you have to first do 320 x 0.2
320 x 0.2= 64
To find it for boys you have to do 250 x 0.1.
250 x 0.1= 25
SO, the answer is 89%. 64% of girls and 25% of boys
Hope i helped :D
Suppose Joeff charges a $20 flat rate plus $27 per hour to work on cars. How many dollars does Joeff earn for a 5-hour job? (Answer with the number only, e.g. 56) Enter the answer Check
Answer:
k
Step-by-step explanation:
Answer:
27x +20 (27 per hour plus the 20, x is how many hours)
27(5) +20
135 +20
$155
Step-by-step explanation:
i hope this helped :)
if a car travels 120 miles in 4 hours. what is its speed per hour
Answer:
v = 30 km/h
Step-by-step explanation:
Given that,
Distance covered by a car, d = 120 miles
Time, t = 4 hours
We need to find the speed of the car. The speed of an object is equal to the distance covered divided by the time taken. It can be given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{120\ \text{miles}}{4\ \text{hour}}\\\\v=30\ \text{mph}[/tex]
So, the speed of the car is 30 km/h.
Please I need help
What is the perimeter of the parallelogram
Can someone explain how to work this out please ?
Answer:
x=4
Step-by-step explanation:
f(x) = (x-2)^5 +3
Let f(x) = 35
35 = (x-2)^5 +3
Subtract 3 from each side
35-3 = (x-2)^5 +3-3
32 = (x-2)^5
Take the fifth root of each side
32 ^ (1/5) = (x-2)^5^ 1/5
2 = x-2
Add 2 to each side
2 +2 = x-2+2
4 =x
What are the order of operations
Answer:
PEMDAS
Step-by-step explanation:
1) Parentheses
2) exponents
3) multiplication
4) division
5) addition
and finally 6) subtraction
PLEASE HELP ME
Will mark brainliest
Answer: Its the last one trust me
Step-by-step explanation:
Colin buys a tv for £740. It depreciates at a rate of 4% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Given :
Colin buys a tv for £740. It depreciates at a rate of 4% per year.
To Find :
How much will it be worth in 5 years.
Solution :
Decrease in price in 1 year is :
[tex]P = P_o- P_o\times 0.04\\\\P = 0.96P_o[/tex]
So, decrease in price after x years is :
[tex]P = (0.96)^x P_o[/tex]
Putting value of x and [tex]P_o[/tex] in above equation, we get :
[tex]P = 0.96^5\times 740\\\\P = \£\ 603.38[/tex]
Therefore, the worth of T.V after 5 years is £603.38 .
if you travel 100 miles at 60mph how long does your journey take?
Answer:
The correct answer is 100 minutes or 1 hour and 40 minutes
Step-by-step explanation:
Convert 60 inches to feet. There are 12 inches in a foot
Answer:
60/12= 5
5 feet
Answer:
5 feet
Step-by-step explanation:
Divide the length value (inches) by 12.
Solve for the variableeeeee plzzz
Answer: x= -7
Explanation for answer:
Answer:
x = -7
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
First, add 2x and subtract 18 from both sides:
5x - x + 18 (-18) (+2x) = 6 - 2x (+2x) - 30 (-18)
5x - x + 2x = 6 - 30 - 18
Next, simplify. Combine like terms:
(5x - x) + 2x = 6 + (-30 - 18)
(4x) + 2x = 6 + (-48)
6x = -42
Next, fully isolate the variable, x, by dividing 6 from both sides:
(6x)/6 = (-42)/6
x = -42/6 = -7
x = -7 is your answer.
~
Select the correct answer.
What is the solution for x in the equation?
-3x+7X-8 = 34 + 9x-2
OA
L =
OB.
L =
COM
OC.
I = 8
OD.
I = -8
Answer:
-8
Step-by-step explanation:
-3x+7x-8=34+9x-2
we move the x's to the left and the numbers to the right
4x-9x=32+8
-5x=40
x=-40/5
x=-8
Goran ran three times last week. Here are the distances he ran (in kilometers).9.94,6.65,10 What is the total distance Goran ran on these three days?
Answer:
26.59 kilometers
Step-by-step explanation:
Lisa needs 250 yards of yarn to knit a hat. She has 185 yards of yarn and needs to buy the rest. How many yards of yarn does she need to buy?
Use the variable y to represent the number of yards of yarn she needs to buy.
Which equation represents this situation and its solution?
250y = 185; y = 55
y + 185 = 250; y = 65
y + 250 = 185; y = 65
185y = 250; y = 55
Answer:
it's answer is y + 185 = 250; y = 65
hope it helps you
Solve the system of equations: *
y = 2x + 3
4x - 2y = 6
One solution: (2,3)
One solution: (3, 2)
No solution
Infinite Solutions
Answer:
No solution
Step-by-step explanation:
i need help plz.
i think its 6.6ft what do u guys think?
Answer: 6.6ft
Step-by-step explanation:
Michelle bought a computer that was 25% off the regular price of $980. If a 6% sales tax was added to the cost of the computer, what was the total price Michelle paid for the computer? A. $735.00 B. $779.10 C. $793.80 D. $1,298.50
Answer:
It fairly simple the answer is B
Which expression is equivalent to 4x-5 ?
Select all that apply
A. 3(2x-5)-2(x-5)
B. 3x-2-(3-x)
C. 7x+1-3(x+2)
D. 4(2x-1)-2(2x-1)
Answer:
A
Step-by-step explanation:
[tex]x58 \frac{.225 {.39 < }^{?} }{?} [/tex]
[tex].555121213 \frac{ = < < \sqrt{ { \frac{?}{?} }^{?} } }{?} [/tex]
Carmen is taking a road trip. After 25 miles, she reaches a stretch of highway where she can drive at a constant speed of 65 miles per hour. Carmen's friend in the passenger seat is trying to figure out the minimum number of hours Carmen will need to drive to reach over 350 total miles for the trip, assuming she keeps a steady pace.
Carmen's friend creates the inequality 65t + 25 > 350, where t is the driving time, in hours.
Answer:
DEW
Step-by-step explanation:
Answer:
Carmen needs more than 5 hours to meet her goal.
Step-by-step explanation:
to make a valid interpretation of Carmen's situation, solve the given inequality for t.
Carmen could reach 350 total miles at 5 hours if she drives at a constant rate of 65 miles per hour. To reach over 350 miles, Carmen will need to drive for more than 5 hours.
So, Carmen needs more than 5 hours to meet her goal.
use the quadratic formula to solve for x. 3x^2+9x+4=0
Answer:
x=−3/2 +1/6√33 or x=−3/2 + −1/6√33Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+9x+4=0
For this equation: a=3, b=9, c=4
3x2+9x+4=0
Step 1: Use quadratic formula with a=3, b=9, c=4.
x=−b±√b2−4ac/2a
x=−(9)±√(9)2−4(3)(4)/2(3)
x=−9±√33/6
What is the value of x
Answer:
Step-by-step explanation:
Add all number together and take the square root
Is that the real answer at the top and what’s the Raleigh Rocket’s score ?
Answer:
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Step-by-step explanation:
Let c be the Castways score and r be the Raleigh Rocket’s score
Then
According to given statements, the equations will be:
[tex]c+r = 96\\r = \frac{1}{3}c[/tex]
From equation 2
[tex]3r=c[/tex]
Putting c = 3r in equation 1
[tex]3r+r = 96\\4r = 96\\\frac{4r}{4} = \frac{96}{4}\\r = 24[/tex]
Putting the value of r in equation 2
[tex]r = \frac{1}{3}c\\24 = \frac{1}{3}c \\c = 24*3\\c = 72[/tex]
Hence,
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
The variables Y and X have a proportional relationship andY equals 15 when x=3. What is the value of X when Y =4?
Answer:
4/5 or 0.8
Step-by-step explanation:
y and x is directly proportional so when one increases the other also increases
the scale factor is 15/3 equals 5
so y is 4, x times 5 equals 4, which we rearrange to give 4/5 or 0.8
