A medical device company knows that the percentage of patients experiencing injection-site reactions with the current needle is 11%. What is the mean of X, the number of patients seen until an injection-site reaction occurs?
3.1289
8.5763
9.0909
11
Answer:
The answer is 9.0909
Step-by-step explanation:
n=1 p=.11
mean = 1/0.11 = 9.0909
The mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.
What is mean?The mean refers to "the average set of values".
According to the question,
The percentage of patients experiencing injection- site reactions with the current needle is 11%.
Mean = [tex]\frac{sum of the all values}{Total number of values}[/tex]
Total number of values = 11% = 0.11 and n = 1.
Mean = [tex]\frac{1}{0.11}[/tex]
=9.0909.
Hence, the mean of X, the number of patients seen until an injection-site reaction occurs is 9.0909.
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Drag the label for the length of the sides of the triangle shown that would satisfy the following conditions: cos(B) = 9/41
tan (C) = 9/40 Not all choices will be needed
Trigonometry
Answers:
AB = 9 (vertical leg)AC = 40 (horizontal leg)BC = 41 (hypotenuse===============================================
Explanation:
We're told that
cos(B) = 9/41
Since the cosine ratio involves adjacent/hypotenuse, we can see that the adjacent side is 9 and the hypotenuse is 41. For angle B, the adjacent side is the leg closest to the angle in question. So that would be side AB.
Therefore, AB = 9 and BC = 41 are the adjacent and hypotenuse for reference angle B.
Apply the pythagorean theorem to solve 9^2+x^2 = 41^2, and you should get x = 40. This is the other leg of the triangle. Or you could note how tan(C) = 9/40 to imply that AC = 40 is the adjacent side for reference angle C.
In the figure below, GRAH is a rectangle, RA=7, and GA=10. Determine AH.
Answer:
AH = [tex]\sqrt{51}[/tex]
Step-by-step explanation:
The opposite sides of a rectangle are congruent , so
GH = RA = 7
Using Pythagoras' identity in right Δ GHA
AH² + GH² = GA²
AH² + 7² = 10²
AH² + 49 = 100 ( subtract 49 from both sides )
AH² = 51 ( take the square root of both sides )
AH = [tex]\sqrt{51}[/tex] ≈ 7.14 ( to 2 dec. places )
Answer:
√51 (or in LaTeX $sqrt51$)
Step-by-step explanation:
We know that Triangle GRA is a right triangle because Angle GRA is one of the angles of rectangle GRAH, and all interior angles of a rectangle are right.
We also know the lengths of two sides of GRA, so we can use the Pythagorean Theorem to solve for the third side. Specifically, the Pythagorean Theorem tells us that
(GR)^2 + (RA)^2 = (GA)^2.Plugging in RA=7 and GA=10, we get
(GR)^2 + 49 = 100,so (GR)^2=51. We know that GR is positive, so we conclude that $GR=\sqrt{51}$. Finally, since GRAH is a rectangle, its opposite sides have equal length. Thus AH = GR, and so AH = √51, which cannot be simplified.
5^2+5^2=c^2 solve pythagorean theorem
Answer:
[tex]\sqrt 50[/tex]
Step-by-step explanation:
Use substitution method to solve for x and y.
y = -8x -23 ...........(i)
y = 4x + 1 ............(ii)
Answer:
X=-2, y=-7
Step-by-step explanation:
Jared is mailing 10 packages. The line plot shows the weight of the packages.
XXX
х
X
Х
1
13
13
2
11
13
1
Weight of Packages (pounds)
How many more pounds are all the packages that weigh 1 pounds than all the packages that weigh lậ?
O A. Špound
O c. 24 pounds
B.
1 pounds
O d. 3 pounds
Answer:
C.
(I did the quiz aswell, i scored 100)
which of the fractions is equivalent to 3/8
Which equation describes the function?
Answer:
y = mx + c
or as Americans say... y = mx + b
Step-by-step explanation:
y is the subject
the coefficient of x is the gradient
x is x
and the constant is b/c
8 1/2 pounds cost $34 ____ per pound
Answer:
$4 per pound
Step-by-step explanation:
34/8.5(or 8 1/2) is equal to 4.
what number must i add to complete the square x^2+8x=-3
Answer:
16
Step-by-step explanation:
(b/2)^2
(8/2)^2 = (4)^2 = 16
(x^2+8x+16) = -3+16
(x+4)^2 = 13
so on so forth, but basically you add 16 which completes the square
Identify the equation of the circle B that passes through (4, -6) and has center (3, -2).
Answer:
solution given :
centre (h,k)=(3,-2)
another point (a,b)=(4,-6)
now
radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17
We have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x-4)²+(y+6)²=17 is a required equation.
Please help me choose the right answer
Can y’all help me with this
Answer:
it's the last one *25,000 J
Step-by-step explanation:
Luis needs 3 1/8 cups of blueberries for his pie. A store sells containers of blueberries that each hold 3/4 cups.
How many containers will Luis use to make his pie? Move numbers and a symbol to the lines to create an equation that shows the answer.
Answer:
3 1/8 divided by 3/4 = 4 1/6. basically 5 containers.
1. The word sum
means you are
going to be
doing what
operation?
I neeed helllppp asappp
Answer:
Multiplication
Step-by-step explanation:
I believe 2x2 would have a sum of 4.
Answer:
Addition
Step-by-step explanation:
Sum means add
difference mean subtract
of mean multiply
By mean divide
have a great day!
A train travels 120 mi in 1 hour and 20 minutes. How many miles will the train go in 6 hours traveling at the same rate?
Answer: 541.32 miles
Step-by-step explanation:
First find the speed of the train in miles per hour.
1 hour 20 minutes needs to be converted to decimal:
= 1 20/60
= 80/60
= 1.33 hours
Speed is:
= Distance / Time
= 120/ 1.33
= 90.22 miles an hour
If the train is traveling 6 hours at the above speed, it will travel:
= Speed * time
= 90.22 * 6
= 541.32 miles
which equation represents the parabola?
In ΔSTU, t = 3.4 cm, u = 6.9 cm and ∠S=21°. Find the area of ΔSTU, to the nearest 10th of a square centimeter.
Answer:
4.2
Step-by-step explanation
Delta
The area of the triangle STU to the nearest of a square centimeter is 4.2 cm².
Area of a trianglearea of the triangle = 1 / 2 tu sin S
where
height = u sin STherefore,
t = 3.4 cm
u = 6.9 cm
∠S = 21°
Hence,
area of the triangle = 1 / 2 × 3.4 × 6.9 sin 21°
area of the triangle = 23.46 sin 21 / 2
area of the triangle = 23.46 × 0.35836794954 / 2
area of the triangle = 8.40731209633 / 2
area of the triangle = 4.20365604817
area of the triangle = 4.2 cm²
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X Plus 2/4 equals 20
PLEASE HELP!! Step by step if possible
Answer:
r = 9
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
You are at (1,5). The zombie is six units to the right. Enter the correct coordinates of the zombie below.
Answer:
(7, 5)
Step-by-step explanation:
Right = movement on the x axis
X coordinate - 1
+6 units to the right = 7,5
(Keep y axis)
Answer:
(7,5)
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
Conjunction
Step-by-step explanation:
Have a good day :)
Answer:
[tex]Conjuction[/tex] (๑・ω-)～♥”
How many terms are in the algebraic expression 1 ly +3?
A. 3
B. 4
O
C. 2.
D. 11
Answer:
Step-by-step explanation:
Answer:
The correct answer is 2 which is ;
C. 2.
What is the domain of y =
cos-1^x?
Answer:
A
Step-by-step explanation:
correct on edge
Answer:
A) [-1,1]
Step-by-step explanation:
The function of y=cos⁻¹(x) has a domain of [-1,1] and a range of [0,π]. Observe the graph.
Solve by completing the square.
x2 + 12x + 8 = 0
Use the Pythagorean Theorem to solve for the missing side of the right triangles.
What kind of triangle would this one be?
Answer:
Scalene right
Step-by-step explanation:
It has a right angle, and two 45 degree angles as well as two sides of equal length
Answer:
I believe its scalene obtuse
so sorry if I'm wrong
What is 2 over 5 x 5 over 8
Answer:
the answer is 1/4
Step-by-step explanation:
2/5 × 5/8
2× 5/ 5 × 8
= 10/40
=1/4
Answer:
1/4
Step-by-step explanation:
You would do 2/5 times 5/8 which would equal 10/40 cause 5 times 2 is 10 and then 5 times 8 is 40 and then you would simplify the fraction 10/40 which would make it 1/4
Scalar and Matrix Multiplication:
Answer:
C
Step-by-step explanation:
When multiplying scalars and matrices, just distribute the scalar to every component of the matrix. So 4*6=24, -2*6= -12, 6*6 = 36, 7*6 = 42, 3*6 = 18, and 0*6 = 0.
surface area of prisms. please help with the work shown because i can't figure out how to solve these :(
here: :)
I did the work, and basically i solved for the area of the faces and then multiplied that by two to get the total surface area of the faces. Then I added in the areas of the sides connecting the two faces:
just as a referral: the formulas to find the faces are as follows:
rectangle: length times width
circle: pi x r^2
trapezoid: h(base1 + base2)
and triangle: (b x h)/2