A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 1 of 2: Suppose a sample of 542 floppy disks is drawn. Of these disks, 37 were defective. Using the data, estimate the proportion of disks which are defective. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
0.068 or 6.826%
Step-by-step explanation:
In order to calculate the proportion of disks that are defective, we need to divide the number of defective disks by the total amount of disks that were chosen in the given sample. Using the data provided this would be the following calculation...
37 / 542 = 0.068
We can multiply this by 100 to get the percentage value
0.068 * 100 = 6.826%
Therefore, roughly 6.826% of the entire disk population would be defective.
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Answer:
6...................
What two numbers have a product of 144 and a sum of -24?
Answer:
-12, -12
Step-by-step explanation:
Both numbers are negative, they add to -24, 2 negatives make positive (-12 x -12 = 144)
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Answer:
3rd option: 2 1/2 ÷ 1/6
Step-by-step explanation:
2 1/2 ÷ 1/6 = 5/2 × 6/1 = 15mph
−3.3 ÷ 2.2
Find the quotient. Write your answer as a decimal.
Answer:
-1.5
Step-by-step explanation:
Factor the numerator and denominators and cancel the common factors.
A circle is centered at (0,0) and has a radius of square root 38.
Where does the point K(6, 1) lie?
Choose 1 answer:
a. Inside the circle
b. On the circle
c. Outside the circle
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Answer:
A
Step-by-step explanation:
Please help! Having a lot of trouble with this
Answer:
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
Its A)
For Sure.
Its Intersecting The X- axis At X= -2 and x=6
What is the inverse of the function f(x) = x +3? 1 O h(x) = = x + 3 3 5x+3 = Oh(x) = rx - 3 3 Oh(x) = x-3 O h(x) = x + 3
Answer:
C
Step-by-step explanation:
the inverse of x+3 is x-3
The value of the inverse of the function f(x) = x +3 is,
⇒ h (x) = x - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x)= x + 3
Now, We can find the inverse function as;
⇒ f (x) = x + 3
⇒ y = x + 3
Solve for x;
⇒ x = y - 3
Substitute y = x and x = h (x);
⇒ h (x) = x - 3
Thus, The value of the inverse of the function f(x) = x +3 is,
⇒ h (x) = x - 3
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hellooo pls help!
what is 85 divided by 2!!
The result is 85 divided by 2 equals 42.5.
So, when we divide 85 by 2, the quotient is 42, and there is a remainder of 1.
To divide 85 by 2, we need to perform the division operation step by step.
Divide the first digit of the dividend (85) by the divisor (2). The first digit of the dividend is 8.
8 ÷ 2 = 4
Write down the result (4) as the first digit of the quotient.
Multiply the divisor (2) by the quotient digit (4) and subtract the result from the first two digits of the dividend (85).
The result is the remainder.
85 - (2 * 4) = 85 - 8 = 77
Bring down the next digit of the dividend (7) to the remainder (77) to form a new dividend (77).
Divide the first digit of the new dividend (77) by the divisor (2).
77 ÷ 2 = 38 with a remainder of 1
Write down the quotient digit (38) as the second digit of the quotient.
Since there are no more digits to bring down, the division process is complete.
Now, we have the quotient and the remainder:
85 ÷ 2 = 42 with a remainder of 1
i.e. 85 ÷ 2 = 42.5
So, when we divide 85 by 2, the quotient is 42, and there is a remainder of 1.
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7(m – 6) m = 8 Evaluate this expression for the given value(s) of the variable(s).
Answer:
14
Step-by-step explanation:
7(8-6)
So, PEMDAS
7(2)= 14
14 is the answer.
Which is not an example of intersecting lines?
No Web Sites!
A . Graph Paper
B. A piece of copy paper
C. a woven basket
D. A street with a four way stop at corner.
Answer:
B. A piece of copy paper.
find the angle measure indicated
Answer:
? = 58°
Step-by-step explanation:
Angles subtended by tangents and radii of a circle are supplementary, so
? + 122° = 180° ( subtract 122° from both sides )
? = 58°
0 = x - 7x + 16
Help
Please help me find the square root
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find w to find the measure of the exterior angle
Answer:
by using exterior angle property I.e. sum of opposite interior angles are equal to the exterior angle
w = 50 + 50
= 100
A department store offers free samples of a 2-ounce
container of lotion with every fragrance purchase. Write a
rule to describe the number of ounces of product for each
purchase. Plot 3 points on the graph to show the pattern.
Use t for the total number of ounces and ffor the ounces
of fragrance.
Answer:
The situation you are describing can be written as y=2x, or in this case t=2f, for every fragrance purchased there are 2 ounces of lotion that are given. Since the ounces of fragrance are not shown in this question, we can only make the graph on the ounces of lotion for every fragarance purchased. The points of the graph represent that for every fragrance bought, there is twice the amount of that in ounces of lotion. In summary, the rule is t=2f where t would equal purchases of fragrance and f would equal the ounces of lotion.
(If there is any more you would like to add to the question I can answer that.)
6. The angle of elevation from a small boat to the top of a lighthouse is 25°. If the top of the lighthouse is 150
feet above sea level, find the distance from the boat to the base of the lighthouse.
Answer:
321.68feet
Step-by-step explanation:
Given the following
Top of the house above the sea level = 150feet = opposite
Angle of elevation = 25°
Required
Distance from the boat to the base of the house(adjacent)
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 25 = 150/d
d = 150/tan25
d = 150/0.4663
d = 321.68
Hence the required distance is 321.68feet
Based on this picture below find the equation that matches
A. 9x=1
B.5x+6=1
C.6x+5=1
D.5x-6=1
Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3,0), H(2-3) is a rectangle
Answer:
Since MA ≠ TH, hence MATH is not a rectangle
Step-by-step explanation:
To prove that quadrilateral MATH, M (-4,-1) A(-3,2). T(3,0), H(2-3) is a rectangle, we need to get the length of each sides and show that MA =TH and MH = TA
For MA:
M (-4,-1) A(-3,2)
MA = √(2+1)²+(3+4)²
MA = √(3)²+(7)²
MA = √9+49
MA =√58
For TH:
T(3,0), H(2-3)
TH = √(-3-0)²+(2-3)²
TH = √(-3)²+(-1)²
TH = √9+1
TH =√10
For TH:
M(-4,-1), H(2-3)
MH = √(-3+1)²+(2+4)²
MH = √(-2)²+(6)²
MH = √4+36
MH =√40
For TA:
T(3,0), A(-3,2)
TA = √(2-0)²+(-3-3)²
TA = √(2)²+(-6)²
TA = √4+36
TA =√40
Since MA ≠ TH, hence MATH is not a rectangle
A trapezoid has base lengths of 20 units and 28 units. The area of the trapezoid is 408 square units. What is the height of the trapezoid?
Answer:
h = 17 units
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the height and b₁ , b₂ the parallel bases
Here A = 408, b₁ = 20, b₂ = 28 , then
[tex]\frac{1}{2}[/tex] h (20 + 28) = 408 ( multiply both sides by 2 to clear the fraction )
48h = 816 ( divide both sides by 48 )
h = 17
is 250 percent of 44 less than 100 greater than 100 but less than 150 or greater than 150 explain your reasoning
Answer:
Step-by-step explanation:
It would be greater than 100 and 150. 250% of 44 is negative because 100% of 44 is 0.
HIII could some one please help me !!
Answer:
always
Step-by-step explanation:
so if it isn't it will be an acute or an obtuse
Convert r= 2 / 7sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
The rectangular form of the given equation r= 2 / 7sinθ−cosθ which is in polar form is 7x - y = 2 and the slope-intercept form is y = 7x - 2
How to convert from polar form to rectangular form?To convert from polar form to rectangular form we simply take the following steps:
x = rsinθy = rcosθWhat is slope-intercept form?The slope-intercept form is,
y = mx +c
where m is the slope made and c is the intercept both made by the straight line.
In the given question let's first rearrange it,
r × (7sinθ − cosθ) = 2
Multiplying the term (7sinθ−cosθ) with r we get,
7rsinθ - rcosθ = 2
Now we will follow the steps discussed above which is we will put x and y respectively in place of rsinθ and rcosθ.
7x - y = 2
So, the slope-intercept form will be,
y = 7x - 2
Therefore, the rectangular form is 7x - y = 2 and the slope-intercept form is y = 7x - 2.
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Let's simplify
Remember that rsinØ is x an rcosØ=y
r=2/7sinØ-cosØr(7sinØ-cosØ)=27rsinØ-rcosØ=27x-y=2Rectangle form or slope intercept form
y=7x-2Find the median of the data in the box plot below. dollars cost of each lunch for the month (in dollars) 4,,5,6,7,8,9,10
Answer:
7
Step-by-step explanation:
The median is the number in the middle of a data set.
For example, in this question 7 is in the middle of the data set, thus making it the median.
2 is what percent of 80?
Answer:
2.5
Step-by-step explanation:
Answer:
2.5%
Step-by-step explanation:
Convert fraction (ratio) 2 / 80 Answer: 2.5%
ack can someone help
Answer:
I think the surface area is 382.
WHAT IS 12X34=??
PLEASE SOMEONE HLEP ME
Answer:
408
Step-by-step explanation:
12×34
12×34
48+360
408
Answer:
408
Step-by-step explanation:
you put 12 on top and you put 34 on the bottom then you have 12x 34 then you multiply it
Describe the graph of the solution to the inequality 8x + 17 ≥ 137
Answer:
Simplifying
8x + 17 = 137
Reorder the terms:
17 + 8x = 137
Solving
17 + 8x = 137
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-17' to each side of the equation.
17 + -17 + 8x = 137 + -17
Combine like terms: 17 + -17 = 0
0 + 8x = 137 + -17
8x = 137 + -17
Combine like terms: 137 + -17 = 120
8x = 120
Divide each side by '8'.
x = 15
Simplifying
x = 15
the difference of two number is 28 if the larger number is three time of the smaller find the number
Set up an equation:
3x - x = 28
Simplify:
2x = 28
Divide both sides by 2
X = 14
3(14) = 42
The numbers are 42 and 14