Answer:
6
Step-by-step explanation:
I solved the equation, but you can't simplify 6.
Why is it important to know where formulas come from?
to be able to derive the formula if needed
to be certain of calculations
to develop number sense
to memorize math symbols
Answer:
to be able to derive the formula if needed
Step-by-step explanation:
as you gain more class grades they sometimes ask you the origin of a certain formula that's why
Two different box-filling machines are used to fill cereal boxes on an assembly line. The critical measurement influenced by these machines is the weight of the product in the boxes. Engineers are quite certain that the variance of the weight of product is 1 ounce. Experiments are conducted using both machines with sample sizes of 36 each. The sample averages for machines A and B are 4.5 ounces and 4.7 ounces respectively. Engineers are surprised that the two sample averages for the filling machines are so different. a. Use the CLT to determine the distribution of �$! − �$ ". b. What is �(�$! − �$ " ≥ 0.2)?
Answer:
0.1981
Step-by-step explanation:
See attachment for calculation
Gary studied for a total of 6 3/4 hours during the three days before her math test. If he study for the same amount of time each day how much time did he spent studying each day?
Answer:
Step-by-step explanation:
answer as a Fraction:9/4
answer as a Decimal: 2.25
answer as a mixed number: 2 1/4
Lisa,Amy and Pete decided to race up the stairs that has 24 steps.Lisa takes 2 steps Every Second,Amy takes 3 steps every second. If pete starts at the bottom,what should lisa and amy start on so that all three finish in a tie? please help with strategy.
Answer:
How many steps does pete take every second? one?if so, lisa and amy wouldn't start on steps, they would start further back
A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid $1,600. Two months ago, she had $12,000 in sales and was paid $1,400. This month she sold $11,000 worth of goods. How much will she be paid?
Answer:
She will be paid $1,350
Step-by-step explanation:
Linear Modeling
Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The linear function can be expressed in the slope-intercept format:
y=mx+b, where m and b are constants.
The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).
We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)
Let's use the points to find the values of m and b.
Using (16,000;1,600):
1,600=m*16,000+b
Using (12,000;1,400):
1,400=m*12,000+b
Subtracting both equations:
200=16,000m-12,000m
200=4,000m
Solving:
m=200/4,000=0.05
Using the first equation and the value of m:
1,600=0.05*16,000+b
1,600=800+b
Solving:
b=800
The equation is now complete:
y=0.05x+800
She sold $11,000 this month, so the payment is:
[tex]y=0.05\cdot 11,000+800[/tex]
Y=550+800=1,350
She will be paid $1,350
Answer:
1350
Step-by-step explanation:
(Note: this method is not the best to use in future problems, please refer to the other answer if you want something better to use.)
16,000-12,000=4,000
1,600-1,400=200
To find the rate of change in 1000s:
200/4 = 50
Essentially this means the rise is 50 and the run is 1000, so, just remove $50 from the payment from 2 months ago to find your answer
The length of a rectangle is 4 feet less than twice its width, while the perimeter is 15.
Answer:
width: 3.83
length: 3.66
Step-by-step explanation:
The perimeter of a triangle is calculating by adding all the sides together (length + length + width + width). Since we are given the formula for the length we can simply substitute that formula and solve for the width which would be the only variable in the equation.
length + length + width + width = 15
(2w-4) + (2w-4) + w + w = 15 ... combine like terms
6w - 8 = 15 ... add 8 on both sides
6w = 15 ... divide both sides by 6
w = 3.83
Now that we know the value for the width we can plug it into the formula for the length to find its value
l = 2w - 4
l = 7.66 - 4
l = 3.66
Finally, we can see that the rectangle has a width of 3.83 and a length of 3.66
The scale on a map is 1 :50000.
The area of a field on the map
is 1.2square centimetres.
Calculate the actual area of the field in square kilometres.
Answer:
The actual area of the field in square kilometers is [tex]30000000 km^2[/tex]
Step-by-step explanation:
Scale : 1 cm = 50000 km
Area of field on map = [tex]1.2 cm^2[/tex]
Now , 1 cm = 5000 km
[tex]1 cm^2 = (5000 km)^2[/tex]
We are supposed to find the actual area of the field in square kilometers.
So, the actual area of the field in sq. km =[tex]1.2 \times (5000)^2[/tex]
Actual area of the field in sq. km [tex]=30000000 km^2[/tex]
Hence the actual area of the field in square kilometers is [tex]30000000 km^2[/tex]
find the missing terms in the arithmetic sequences
a). -45, _ , _ , _, -39
b) -34,_,_,77
Find the distance between (-13, -3.5) and (17, 2)
Distance = 30.5
I hope this helps.
f(x) = 5x3 + 2x2
35x
14
-
Answer:
651
Step-by-step explanation:
f(x) = 5×3 + 2×2
35x
14
= 5×3 = 15
= 2×2 = 4
= 15 + 4
= 19
35(19) - 14
= 665 - 14
= 651
I thought of a number, then divided it by another number, and got a result of a 7. Think of the possible values for my number and the number I divided it by. What number is impossible to divide by? What number can my original number not be?
Answer:
Possibilities are endless. It's impossible to divide by 0.
Your number can't be 0.
Step-by-step explanation:
^^^
Find the distance between the two points rounding to the nearest tenth (if necessary). (-6,5) and (3,-7)
The distance between points (-6,5) and (3,-7) is 15 units.
How to find the distance between two points?In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.
Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Given the points (-6,5) and (3,-7)
Here x₁ = -6 , x₂ = 3
y₁ = 5 and y₂ = -7
So,
[tex]d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }[/tex]
d = √225
d = 15 units.
Hence "The distance between points (-6,5) and (3,-7) is 15 units".
To learn more about the distance between two points,
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Describe the possible values of x.
Answer:
70x - 70 if it means 5 * 7 * (2x - 2)
Step-by-step explanation:
I got this wrong can someone, please help me with this.
You found the correct slope for Line 1, but Line 2 has a slope of (3 - 2)/(6-3) = 1/3.
If 2 lines are parallel, their slopes are the same; perpendicular and their slopes are opposite reciprocals (change the sign of the first slope, then divide 1 by it and you get the perpendicular line's slope). 1/3 is NOT the opposite reciprocal of 3 (because they have the same sign) and 1/3 is NOT equal to 3, so that makes the answer neither.
The slope for Line 3 is (3 - 1)/(1 - (-1)) = 2/2 = 1
The slope of Line 4 is (1 - (-1))/(4 - 2) = 2/2 = 1
1 = 1, so these lines are parallel
what ln(2)? i just dont get this can you also show works
Answer:
2
Step-by-step explanation:
Because its more than likely asking whats in side the parenthisis
Answer:
ln(2) = 0.6931
Step-by-step explanation:
"ln" stands for natural logarithm.
You can memorize the "ln" of some of the basic prime numbers.
ln(2) = 0.6931
ln(3) = 1.0986
ln(5) = 1.6094
Beest of Luck!
in an experiment, the control variable is d and the response variable is e. which variable is not manipulated, but measured, and represents the data being recorded?
.What is 20/24(twenty-twenty fourths) to its most simplified form?
Help me guys I suck at fractions :(
Answer:
its b are c i think
Step-by-step explanation:
What is
f(x) = x3 – 4x2 – 7x + 10 in factored form given that 5 is a zero of the function?
Answer:
(x-2)(x+1)(x-5)
Step-by-step explanation:
Can someone please help me with this, I will mark you as brainliest
Answer:
1st answer is 1/2x^5
2nd answer is m^3/16p^2q^2
3rd answer is 2r^4+9r^3
What is the measure of BDC
Answer:
105 degrees
Step-by-step explanation:
180 - 75 = 105
what is the slope of the line that contains these points x=12,13,14,15 y=-4,2,8,14
Answer:
6
Step-by-step explanation:
Fid the difference in the y-coordinates of any two points. This is the rise.
Then find the difference in the corresponding x-coordinates of the same points. This is the run.
slope = rise/run
Let's use x = 12, x = 15, and y = -4, y = 14.
rise = -4 - 14 = -18
run = 12 - 15 = -3
slope = rise/run = -18/(-3) = 6
Answer: slope = 6
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Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won?
Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Answer:
the last option D.comparing the decimal equivalents of their scores shows that Zack won because -3.6 is less than -3.625
Step by step explanation
Got it correct on edge
Answer:
D
Step-by-step explanation:
Pls answer quick and right
The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys
Answer:
120, if I did it right
Step-by-step explanation:
In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.
What is the answer to 1/6 plus 2/3
Answer:
5/6
Step-by-step explanation:
First, you need to make sure they have a common denominator, or else addition is not possible.
Luckily, in this case, 6 and 3 are divisible.
You would multiply 2 by 2/3 to get the common denominator of 6
The new expression would be:
4/6 + 1/6
Now, you just need to add the numerators
4 + 1 = 5
The correct answer would be 5/6.
Hope this helps! Good luck :)
Answer: 5/6
do you have a calculator or sum, cuz it's pretty easy
Jayda bought a magazine that costs 6 and seven bags of marshmallows jayda spends a total of 34. How much did each bag of marshmallows costs ?
Answer:
4
Step-by-step explanation:
First, you need to take the cost of the magazine off the total which Jayda spent
34-6=28
Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.
28÷7=4
Each bag of marshmallows costs 4
One way of solving systems of linear equations is by adding a multiple of one equation to the other. The multiplier for the first equation is chosen so that one of the two variables will cancel out in the sum. What should you multiply the equation y=0 y=0 by so that when added to x+y=40 x+y=40 the variable y yy will cancel out?
Answer:
Multiply y = 0 by -1
Step-by-step explanation:
Given
y = 0 (1)
x + y = 40 (2)
What should you multiply the equation y=0 by so that when added to x + y = 40, the variable y will cancel out ?
Multiply (1) by -1
y = 0 × -1
-y = 0 (1b)
Add (1b) and (2)
-y = 0
x + y = 40
(0 + x) + (-y + y) = 0 + 40
x + (0) = 40
x = 40
You should multiply the equation y = 0 by -1 so that when added to x + y = 40 the variable y will cancel out
What is the length of LA?
The length of LA in the triangle will be 8.
How to calculate the triangle?From the information given, it was stated that both the triangles are similar.
In this situation, the length of LA will be:
= (12 × 4)/6
= 48/6
= 8
Therefore, the length of LA in the triangle will be 8.
Learn more about triangles on:
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guys i need help what's 3+2
Answer:
21 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
5