Write an equation that represents the function (0, 2),(1,3),(2,10),(3,29),(4,66),(5, 127)
Answer: 7
Step-by-step explanation: because
Put a lid on it! The supplier is considering two changes to reduce to 1% the
percentage of its large-cup lids that are too small. One strategy is to adjust the
mean diameter of its lids. Another option is to alter the production process,
thereby decreasing the standard deviation of the lid diameters,
a. If the standard deviation remains at o = 0.02 inch, at what value should the
supplier set the mean diameter of its large-cup lids so that only 1% are too
small to fit?
b. If the mean diameter stays at = 3.98 inches, what value of the standard
deviation will result in only 1% of lids that are too small to fit?
c. Which of the two options in parts (a) and (b) do you think is preferable? Justify
your answer. (Be sure to consider the effect of these changes on the percent of
lids that are too large to fit.)
Answer:
A) 3.996 inches
B) 0.01
C) option B
Step-by-step explanation:
Note: The diameter of the lid is between : 3.95 and 4.05
A) calculate the supplier set mean diameter
std = 0.02 inch
P( x < 3.95 ) = 1% = 0.01
= P ( Z < [tex](\frac{3.95 - u }{0.02})[/tex] ) = P ( Z < -2.3263 ) = 0.01
therefore :
[tex](\frac{3.95 - u }{0.02})[/tex] = -2.3263
hence : u = 3.996 inches ( mean diameter )
B) At mean diameter = 3.98 calculate the value of std
P ( X < 3.95 ) = 0.01
= P ( Z < [tex]( \frac{3.95-3.98 }{std } )[/tex] ) = P ( Z < -2.3263 ) = 0.01
therefore
[tex]( \frac{3.95-3.98 }{std } )[/tex] = -2.3263
hence std = 0.01 inch
C) option B is preferable because its mean diameter is smaller and the percent of lids too large to fit is considered more carefully using option B
Force is a term that means...
O movement around a center point - like throwing
O
strength used in an action - like lifting weights
Ounchanging over time - like balancing
on
O speed over time - like running
>
MUSEU
Answer: strength used in an action - like lifting weights
Step-by-step explanation:
Force brings about the change in the motion or velocity of a particular object.
Force can be either a push or a pull. For example, when an individual goes to the gym and lifts a weight, the strength applied can also be referred to as a force as it causes a change in the position of the weight.
How do I solve for x, y, and z? Please help ASAP.
Answer:
x = 60 degrees, y = 120 degrees, z = 30 degrees
Step-by-step explanation:
To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle. This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure. Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:
x + x + x = 180
3x = 180
x = 60 degrees
Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees. This lets us write the following equation:
y + 60 = 180
When we subtract 60 from both sides to solve, we get:
y = 120 degrees
Finally, we should notice that the triangle on the right is isosceles. This means that two of the side lengths (and thus two of the angles) are equal. This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal. From this information we can write the following equation:
y + z + z = 180
If we substitute the value for y and solve, we get:
120 + 2z = 180
2z = 60
z = 30 degrees
Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.
Hope this helps!
0.416... 0.42
Put the correct sing > or < between the numbers in each pair
Answer:
Step-by-step explanation:
0.416<0.42
because minimum value of 0.42=0.420
and 0.416<0.420
Does anyone know the answer? It’s due in an hour PLEASE HELPPP!!
When i did that sort of thing i had a trick. But you are correct.
Daisy made 6 phone calls in 13 hour. At that rate, how many phone calls can she make in 1 hour?
Answer:
She can make almost 1 phone call in an hour (particularly, 46 minutes of call per hour)
Step-by-step explanation:
This problem can be solved by using ratios and proportions.
Step 1: Identify the "knowns" from the "unknown."
It is known that Daisy can make 6 phone calls in 13 hours. Now, the problem is asking for the number of phone calls Daisy can make in 1 hour.
The "unknown" here is the number of phone calls Daisy can make in 1 hour.
Step 2: The values should be plug into the proportion.
[tex]\frac{6 phone calls}{13 hours}[/tex] = [tex]\frac{x phone calls}{1 hour}[/tex]
Step 3: We can now solve the proportion.
[tex]\frac{6}{13}[/tex] = [tex]\frac{x}{1}[/tex] ⇒x = 0.46 calls per hour (almost 1 call per hour)
DO NOT ANSWER IF YOU DO NOT KNOW, Will give brainliest, like, comment, and 5 points to answer
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Step-by-step explanation:
5:1 and 15:3 is equivalent because 5 ⋅ 3 = 15, and 1 ⋅ 3 = 3.
10.2 ⋅ 2.5 = 2.5.5 (This wasn't put into a ratio form.)
198:1,287 and 2:13 are equivalent because 198/99 = 2, and 1,287/99 = 13.
how do you convert fractions to decimals?
Answer:
divide the fractions
Step-by-step explanation:
lets say we have 23/5
we can divide 23 by 5 and get a decimal of 4.6
or lets say we got 1/5
divide 1 by 5 and you will get 0.2
not really an academic subject lol just a stoopid inquiry
.
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does anyone else stay up super late even if they're tired? like you haven't "completed" your day yet. just me?... TT_TT pls help
(my sleep schedule is very messed up) :,)
Answer:
Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol
Step-by-step explanation:
find the x intercept and y intercept of
3x - 9y =18
Answer:
y-intercept: (0, -2)
x-intercept: (6, 0)
Step-by-step explanation:
The y-intercept is the value of y when x =0. Substitute 0 for x to find the y-intercept.
[tex]3x - 9y = 18[/tex]
[tex]3(0) - 9y = 18[/tex]
[tex] - 9y = 18[/tex]
[tex]y = - 2[/tex]
When x = 0, y = - 2 so the y-intercept is (0, - 2).
The x-intercept is the value of x when y = 0. Substitute 0 for y in the equation to find the x-intercept.
[tex]3x - 9y = 18[/tex]
[tex]3x - 9(0) = 18[/tex]
[tex]3x = 18[/tex]
[tex]x = 6[/tex]
When y = 0, x = 6 so the x-intercept is (6, 0).
What is the scale factor from figure B to A?
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of Kare (10, 11). What are the coordinates of L?
2(7y−1)= 40 what is y?
Step-by-step explanation:
[tex]14y - 2 = 40 > > 14y = 42 > > y = 3[/tex]
Answer:
y=3
Step-by-step explanation:
Remember PEMDAS
Graph the given inequality.
-3 > n
How do I do this?
-3 > n is the same as n < -3 after you flip both sides and flip the inequality.
To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.
We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.
The graph is shown below.
Hannah starting playing video games as soon as she got home from school. She played video games for 20 minutes. Then, it took Hannah 1 hour and 35 minutes to finish her homework. When Hannah finished her homework, it was 4:40 P.M. What time did Hannah get home from school?
If B = 3x^2-x+3and A=x-6, find an expression that equals 2B+3A in standard form?
Answer:
[tex]6x^{2} +x-12[/tex]
Step-by-step explanation:
All you need to do is multiply equation B by 2 and multiply equation A by 3, then put an addition sign between them and combine like terms after you've distributed what you needed for each one.
Ella played a math game and had the five cards shown.
-5, -7, 4, -4, 10
Her score was the sum of the numbers on these five cards. What was Ella's score?
Answer:
-2
Step-by-step explanation:
-5 + -7 = -12
-12 + 4 = -8
-8 + -4 = -12
-12 + 10 = -2
Answer:
Answer:
-5
Step-by-step explanation:
7-4+2-10= -5
Step-by-step explanation:
can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z
Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
What is the next fraction in this sequence? Simplify your answer.
2
3
,
3
5
,
8
15
,
7
15
, ...
Answer:
21
Step-by-step explanation:
75 (1+2z) simplified
Which point represents (5,-3) on the graph?
Answer:
Point D
because you go 5 to the right and 3 down.
D
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What are the three angle measures in the
triangle shown below?
5x - 7
11x – 4
3x + 1
What is the lowest range of the function shown on the graph?
Answer:
C.-2
Step-by-step explanation:
The vertex is at (3,-2), this can find the lowest range because since both sides of the function go up from this point there will be no points beneath it. Since the range is Y value the minimum would be -2 because this is the Y value of the vertex. You can check the graph to prove this because there are not any y-values equal to less than -2.
Consider the system of equations in standard form. x + 4y = 26, 3x – 4y = 30 What is the best window range for the x-values to determine the solution? What is the best window range for the y-values to determine the solution? What is the exact solution to the system of equations?
Answer: x + 4y = 26 Slope = -0.500/2.000 = -0.250
x-intercept = 26/1 = 26.00000
y-intercept = 26/4 = 13/2 = 6.50000
Step-by-step explanation: x + 4y = 26
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.500 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.000 - 6.500 = -0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.500/2.000 = -0.250
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+4y-26 = 0 and calculate its properties
Notice that when x = 0 the value of y is 13/2 so this line "cuts" the y axis at y= 6.50000
y-intercept = 26/4 = 13/2 = 6.50000
When y = 0 the value of x is 26/1 Our line therefore "cuts" the x axis at x=26.00000
x-intercept = 26/1 = 26.00000
3x – 4y = 30 Slope = 1.500/2.000 = 0.750
x-intercept = 30/3 = 10
y-intercept = 30/-4 = 15/-2 = -7.50000
Notice that when x = 0 the value of y is 15/-2 so this line "cuts" the y axis at y=-7.50000
y-intercept = 30/-4 = 15/-2 = -7.50000
y = 0 the value of x is 10/1 Our line therefore "cuts" the x axis at x=10.00000
x-intercept = 30/3 = 10
Answer:
What is the best window range for the x-values to determine the solution?
x-min=-10, x-max = 15
What is the best window range for the y-values to determine the solution?
y-min= 0, y-max = 5
What is the exact solution to the system of equations?
(14, 3)
Bruce bought two books. One book costs $4.00 more than three times the other. Together, the two books cost him $72.
Step-by-step explanation:
The variables can be represented as x and y for the two books.
y=3x+4
x+y=72
Use substitution or elimination to solve the problem. I would personally go with substitution, but its all personal preference.
Which is the simplified form of 7+5-12?
O
1
7912
O-/7-912
17
o
لے
N
$12
1
+
1
312
[tex] \green {\boxed{Answer}}[/tex]
[tex] {r}^{ - 7} + {s}^{ - 12} [/tex][tex] \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Write these expressions as the square of a monomial.
81x4 (81x4 means 81x to the power of 4)
121a6 (the 6 means to the power of 6)
0.09y12 (The 12 means to the power of 12)
4/9b6 (The 6 means to the power of 6)
PLEASE HELP ASAP! WILL GIVE BRAINLIEST IF YOU SHOW STEPS!
Answer:
81x4 = (9x^2)^2, 121a6 = (11a^3)^2, 0.09y12 = (0.3y^6)^2, 4/9b6 = (2/3b^3)^2
Step-by-step explanation:
sqrt of 81 = 9, (we do sqrt because its the inverse to exponents) x^4, x^2 * x^2 = (9x^2)^2
sqrt of 121 = 11, a^6, a^x * a^2 = a^6, x = 3, (11a^3)^2
sqrt of 0.09 = 0.3, y^12 = y^x * y^2, x=6,(0.3y^6)^2
sqrt of 4/9 = 2/3, b^x * b^2 = b^6, x = 3, (2/3b^3)^2
^ = power, * = multiplication
2÷5 × -4 what Is the answer please?
Answer:
-1 3/5
Step-by-step explanation:
2÷5 × -4
Work from left to right
2/5 * -4
-8/5
-1 3/5
PLEASE ANSWERR I CANT GET IT RIGHT