Write 5x – 4y = 10 in slope-intercept form
Help math eh at t were rhehh
Find the area of the shape
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard
Answer:
32%
Step-by-step explanation:
Let x be the mean of the values and σ their standard deviation.
Since the minimum value of the diameter of the washers is 1.53 mm, then
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+
x + σ = 1.65 mm
2x = 3.18
x = 3.18/2
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
-
x + σ = 1.65 mm
-2σ = -0.12
σ = -0.12/-2
σ = 0.06 mm
Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%
This question is based on the percentage. Thus, 32% of washers will the factory have to discard.
Given:
The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.
We need to determined the percentage of washers will the factory have to discard.
According to question,
Let x be the mean and σ be their standard deviation.
The minimum value of the diameter of the washers is 1.53 mm.
Then,
x - σ = 1.53 mm (1)
Also, the maximum value of the diameter of the washers is 1.65 mm, then
x + σ = 1.65 mm (2)
Adding (1) and (2), we have
x - σ = 1.53 mm
+ x + σ = 1.65 mm
⇒ 2x = 3.18
We get,
x = 1.59 mm
Subtracting (1) and (2), we have
x - σ = 1.53 mm
- x + σ = 1.65 mm
⇒ -2σ = -0.12
We get,
σ = 0.06 mm
Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.
And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.
Thus, 32% of washers will the factory have to discard.
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Please find the square root. Round your answer to the nearest tenth.
√81.4 =
0Answer: 9.0
Step-by-step explanation:
.
The height of a thrown ball is a quadratic function of the time it has been in the air. The graph of the quadratic function is the parabolic path of the ball.The vertex of the graph is (1, 20) and the path of the ball includes the point (0,4). What is an expression that defines this function? Write the quadratic function in vertex form.
Answer:
f(x) = a(x - 1) + 20
Step-by-step explanation:
Vertex form is written in this format: f(x) = a(x - h) + k. The vertex point is written in the form (h,k). To write the vertex in the equation, fill in the digits where they belong.
Hope it helps!
The ball's parabolic route is represented by the quadratic function's graph. The quadratic function is x²-2x+4=0.
Given that,
A thrown ball's height is a quadratic function of the amount of time it has been in the air. The ball's parabolic route is represented by the quadratic function's graph. The ball's route includes the location (1, 20), which is the graph's vertex (0,4).
We have to find what does the expression for this function look like? In vertex form, write the quadratic function.
What is the vertex form of a parabola?Use y= a(x-h)² + k as the vertex form of a parabola.
(The parabola opens upward if "a" is positive and downward if "a" is negative.) Additionally, the vertex of the (h,k) is a parabola.
The vertex of the parabola (h,k) is (1,20)
The a value is 4 and y as 0.
y=a(x-h)²+k
0=4(x-1)²+20
0=4(x²-2x+1)+20
0=4x²-8x-4+20
0=4x²-8x+16
4x²-8x+16=0
x²-2x+4=0
Therefore, the quadratic function is x²-2x+4=0.
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I'll give points and brainalist for answer / explanation
Answer:
C
The perimeter of a square is the measure around it [ the square ]. The circumference of a circle is finding the distance/finding the measure of the distance around a circle.
Hope that helps! :)
I NEED HELP NOW!! PLEASE
Answer:
320 cubic inches
Step-by-step explanation:
if I remember correctly you have to multiply the given numbers and then divide by that answer by 3 which gives you 320
Answer:
Volume of a rectangular pyramid = (length x width x height) /3 cubic units.
where W = 8 in, h = 12 in, L = 10 in.
Step-by-step explanation:
Volume = ( 10 x 8 x 12 ) /3 = 320 cubic inches.
I hope it help. Have a nice day.
Plz tell me if I am correct
Answer:
Yep good job!!!
Find the value of k that makes the function continuous
Answer:
13/3
OR
4.33333
Step-by-step explanation:
For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.
To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction
2x^2 - 3 -15
2x^2 - 18
2* (x^2 - 9)
2 * (x + 3) (x - 3)
this is perfect because this cancels out the x - 3 on the bottom
so the function become f(x) = 2 * (x + 3)
When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12
Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.
k*(3) - 1 = 12
k*3 = 13
k = 13/3
k = 4.33
(7x^2- 3y)^2 simplify
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation:
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation:
Add the two expressions.
7.4w−5 and −3.7w+3
Enter your answer, in simplified form, in the box.
EXPLAIN HOW TO DO IT.
Answer:
3.7w - 2
Step-by-step explanation:
7.4w − 5 −3.7w + 3 Combine like-terms
7.4w - 3.7w + 3 - 5
3.7w - 2
Answer:
3.7w-2
Step-by-step explanation:
7.4w-5+-3.7w+3
(combine like terms)
7.4w-3.7w=
7.4-3=
4.4-.7= 3.7w
-5+3=-2
3.7w-2
I hope this helps..
A carpenter is measuring a cabinet to
ensure the sides create a right angle.
Determine whether the triangle is a right
triangle
Answer:
It is a right angle triangle.
Step-by-step explanation:
Use the pythagoras theorem. c^2 = a^2 + b^2.
5^2 = 4^2 + 3^2
25 = 16 + 9
25 = 25
Good morning! Please help me sort these out for math in the picture above ( I put letters in red so then you can just tell me where the letter goes under either possible or impossible)
Answer:
sorry hunny you on your own
Thelma and Louise ordered take - out from Belle Taco . Thelma ordered 2 tacos and 1 burrito and paid $ 3.79 . Louise ordered 2 burritos and 1 taco and paid . \$4.58
Answer:
A taco cost $1 while a burrito cost $1.79
Step-by-step explanation:
This may be computed as a set of simultaneous equations
Thelma ordered 2 tacos and 1 burrito and paid $ 3.79
let the cost of a taco be t and a burrito b then
2t + b = 3.79
Louise ordered 2 burritos and 1 taco and paid . \$4.58
t + 2b = 4.58
solve both equations simultaneously
multiply the first by 2
4t + 2b = 7.58
t + 2b = 4.58
subtract 2 from 1
3t = 3
t = 1
t + 2b = 4.58
1 + 2b = 4.58
2b = 4.58 - 1
2b = 3.58
Divide both sides by 2
b = 1.79
A taco cost $1 while a burrito cost $1.79
7. A garden contains 284 flowers, each of which is either red or yellow. There
are 5 beds of yellow flowers and 4 beds of red flowers. There are 40 yellow
flowers in each yellow flower bed. If r represents the number of red flowers in
each red flower bed, what equation could you use to represent the number of
red and yellow flowers?
Answer:
284=5(40)+4r
Step-by-step explanation:
WILL MARK! Please help:)
Find x so that this quadrilateral is a parallelogram.
Answer:
46
Step-by-step explanation:
Answer:
46 bc the angles across from each other are the same in a parallelogram
Please help I will give brainliest
Answer:
A.
Step-by-step explanation:
Rectangle: Length * Width
—> 12 * 2 = 24
Triangle: Base * Height * 1/2
—> 12 * 2 * 1/2 = 12
Matches answer A.
What is the resulting cross section if the cheesecake was sliced parallel to its points?
Answer:
Step-by-step explanation:
??What is parallel to a point?
If the cut is parallel to the cut-off point, the cross-section is a rectangle.
There were 58 birds in a tree.B of the Birds flew away.Choose the expression that shows how many birds are in the pond now.
A. B + 58
B. 58 - b
C. b - 58
D. 58 + b
Answer:
B. 58 - b
Step-by-step explanation:
58 goes in the front, since that is how many birds were there at the start. If B birds flew away, then some are leaving which means the equation would be subtracting by B.
WILL GIVE BRAINLEST This list gives the areas of different garden plots in square meters.
5.5, 6.5, 6.0, 6.0, 6.5, 6.0, 6.5, 7.0, 5.5, 6.5, 5.5, 6.0, 7.0, 5.5, 5.5, 6.5, 6.0, 6.5, 6.5, 6.0, 7.0
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.
Answer:
Step-by-step explanation: Let me help
Answer:
i go k 12 i im taking the test rn
Step-by-step explanation:
5.5 6.0 6.5 7.0
3
7
6
5
What is the product?
(**(3x2-2) (4x2 +5x)
.
O 12x + 15x8 - 8x8 - 10x5
O
12x24 + 15x12 - 8x8 - 10x4
O 12x9-10x5
O 12x24 - 10x4
The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.
What is Multiplication?
Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given expression is (3x² - 2) (4x² + 5x).
This can be written as,
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
We have to use distributive property here.
a(b + c) = ab + ac for any three numbers or expressions, a, b and c.
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
= (12x⁴ + 15x³) - (8x² + 10x)
= 12x⁴ + 15x³ - 8x² - 10x
Hence the product is 12x⁴ + 15x³ - 8x² - 10x.
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i need help what is the area of this composite figure
Answer:
Lol
Step-by-step explanation:
Answer:
104 ft^2
Step-by-step explanation:
URGENT PLZ HELP
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answer:
Step-by-step explanation:
This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.
X+114=111
add negative -114 to each side to get X alone.
-114+X+114= 111+-114
X=-3 . Answer negative 3
Marks of 12 students in a unit test are given as 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14. Assume a mean and calculate the arithmetic mean of the data. Assume another number as mean and calculate the arithmetic mean again. Do you get the same result? Comment
hope this helps you...
.....
Step-by-step explanation:
observations = 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14mean = sum of observations ÷ numbers of observations...........................................sum of observation = 4+21+13+17+5+9+10+20+19+12+20+14= 164numbers of observation = 12mean = 164 ÷ 12 = 13.67nicholas wants to buy a cd for $200 that earns 3% apr and is compounded quarterly. the cd matures in 5 years. his interest earned will not be reinvested in the cd.what will nicholas total interest be at the date of maturation?
Answer: 30
Step-by-step explanation:
Answer:
the correct answer is $1.50 for me
Step-by-step explanation:
st took the quiz and got this question correct, hope this helps!
Value of x
Give reasons
Answer:
50 degrees
Step-by-step explanation:
I NEED THE ANSWER NOW! PLEASE! THE QUESTION IS DUE TOMMOROW. Find the area of the shaded polygon:
A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
hey so i need help on my khan so please please please help
Answer:
Step-by-step explanation: