(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82
(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89
(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5
(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07
σ = √(σ²) ≈ 1.03
Determine if the graph of y=x/x^2-4 is symmetrical with respect to the x-axis, the y-axis, or the origin.
a. about the x-axis
b. about the y-axis
c. about the origin
d. all of these
e. none of these
please help i’ll also rate brainliest
9514 1404 393
Answer:
c. about the origin
Step-by-step explanation:
The function is odd: replacing x with -x gives the negative of the function value:
f(-x) = -f(x)
Odd functions are symmetrical about the origin.
A teacher finishes explaining a new concept to the class and wants to check that all the students have grasped the concept. The teacher asks those who do not understand to raise their hands. This process leads to which of the following bias(es)?
a) Response bias
b) Measurement bias
c) Both response bias and measurement bias
d) neither response bias nor measurement bias
Answer:
response bias
Step-by-step explanation:
because whan you are asked a question you expect response in return
The following list shows the colours of a random selection of sweets.
red green red blue pink red
yellow pink blue yellow red yellow
Select the type of the data.CHOOSE ONE PLEASE HELP
Discrete
Continuous
Categorical
Quantitative
Answer:
Categorical or Continuous.
Step-by-step explanation:
Because the red appears in each colours (continuous)
An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 47.0. Assume the population standard deviation is known to be 1.9. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
Test statistic = 1.664
Step-by-step explanation:
The hypothesis :
H0 : μ = 47.2
H1 : μ ≠ 47.2
Given that :
Sample mean, xbar = 47
Sample size, n = 250
Standard deviation, σ = 1.9
The test statistic :
(xbar - μ) ÷ (σ/√(n))
T = (47 - 47.2) ÷ (1.9/√(250))
T = (0.2 / 0.1201665)
Test statistic = 1.664
I are these orders pairs a function
х,у
0,9
2,8.
4,7
6,6
8,5
10,4
9514 1404 393
Answer:
yes
Step-by-step explanation:
No x-value is repeated, so these ordered pairs do represent a function.
What is the volume of the prism below?
19.80 cubic units
553.02 cubic units
84.17 cubic units
42.09 cubic units
The volume of prism is,
⇒ V = 42.09 cubic units
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Base = 5.12
height = 4.11
Lenght = 4
Now, We can formulate;
The value of volume of prism is,
⇒ V = 1/2 (b x h) l
⇒ V = 1/2 (5.12 x 4.11) 4
⇒ V = 42.09 cubic units
Thus, The volume of prism is,
⇒ V = 42.09 cubic units
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Hey I really need help with this question ASAP please and thank you
[tex] - 1 + \sqrt{3} [/tex]
A popular brand of pen is available in 13 colors and 2 writing tips. How many different choices of pens do you have with this brand?
There are ___ different choices of pens with this brand.
Answer:
7
Step-by-step explanation:
i had it
A research center poll showed that 76% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief?
Answer:
6/25
Step-by-step explanation:
P(have belief) =76/100 = 19/25
P (does not have belief) = 1-19/25 = 6/25
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 70% salt. She wants to obtain 30 ounces of a mixture that is 60% salt. How many ounces of each solution should she use?
Answer:
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 180 y = 180 - x
.60x + .85y = .75(180)
.60x + .85y = 135 Multiply both sides of the equation by 100 to remove the decimal points.
60x + 85y = 13500
60x + 85(180 - x) = 13500
60x + 15300 - 85x = 13500
-25x = -1800
x = 72ounces
y = 180 - 72
y = 108 ounces
Step-by-step explanation:
Wyzant (ask an expert) solution on their website.
A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches, what is the volume of air inside the cube? (Round to the nearest tenth.)
1357.1 cubic inches
1244.1 cubic inches
1887.4 cubic inches
1226.0 cubic inches
The volume of air inside the cube is 1887.4 cubic inches. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches.
Then the volume of air inside the cube will be given as the difference between the volume of the cube and the sphere.
Air volume = Volume of the cube - Volume of the sphere
Air volume = 12.6³ - 113
Air volume = 2000.376 - 113
Air volume = 1887.376
Air volume ≅ 1,887.4
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Answer:
1887.4 cubic inches
Step-by-step explanation:
A campus deli serves 101 customers over its busy lunch period from 11:30 am to 1:30 pm. A quick count of the number of customers waiting in line and being served by the sandwich makers shows that an average of 18 customers are in process at any point in time. What is the average amount of time (in minute) that a customer spends in process?
Answer:
21.38 minutes
Step-by-step explanation:
the total number served = 101
teh number of hours that is spent in serving from 11.30 to 1.30 = 2 hours
Lq = average number of those that are in line = 18 customers
from here we are to find the flow rate
= [tex]\frac{total served}{service hour}[/tex]
= 101/2 = 50.5
the average time in waiting =
Lq/flow rate
= 18/50.5
= 0.3564 hours
convert to minutes = 0.3564 * 60 minutes
= 21.38 minutes
A company is planning its spring advertising campaign. Its marketing team is planning to mail out different types of advertisements, at random, to their town's residents each week. They have the following types of advertisements ready:
Week 1 Week 2 Week 3
Small Poster Brochure Business Card
Brochur Leaflet Postcard
Postcard Small Poster
How many different possible ways can a resident receive an advertisement?
Answer:
The answer is "18".
Step-by-step explanation:
Amount of different methods a resident could get an advertisement:
[tex]=2\times 3 \times 3\\\\= 18[/tex]
Answer:
The Answer is 18
Step-by-step explanation:
2*3*3
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 88 kilograms. A delivery of 12 large boxes and 2 small boxes has a total weight of 235 kilograms. How much does each type of box weigh?
Answer:
Step-by-step explanation:
We need a system of equations here. The first equation is that 3L boxes + 5s boxes (L = large and s = small) = 88 kg so
3L + 5s = 88
12L + 2s = 235 according to the other information given.
Solve the first equation for either L or s. I'll solve for L, just because:
3L = 88 - 5s and
L = [tex]\frac{88}{3}-\frac{5}{3}s[/tex] and sub that into the second equation for L:
[tex]12(\frac{88}{3}-\frac{5}{3}s)+2s=235[/tex] and if you distribute the 12 into the parenthesis you'll simplify it down a bit to
352 - 20s + 2s = 235 and combine like terms:
-18s= -117 so
s = 6.5 kg and plug that in to solve for L:
L = [tex]\frac{88}{3}-\frac{5}{3}(6.5)[/tex] and
L = 18.5 kg
find x
please help!!
Answer: [tex]9\sqrt{3}[/tex]
==========================================================
Explanation:
For any 30-60-90 triangle, the short leg is always half the hypotenuse.
This makes the short leg to be 18/2 = 9 units long.
We then multiply this by [tex]\sqrt{3}[/tex] to get the length of the long leg.
[tex]\text{long leg} = (\text{short leg})*\sqrt{3}\\\text{long leg} =9\sqrt{3}[/tex]
Or you could use the pythagorean theorem to solve [tex]x^2+9^2 = 18^2[/tex] and you should get [tex]x = \sqrt{243} = 9\sqrt{3}[/tex]
What is the sine ratio for
Answer:
the since ratio is 5/4
Step-by-step explanation:
hope this is helpful ask manylog_c(A)=2
log_c(B)=5,
solve log_c(A^5B^3)
We know that [tex]\log_a(bc)=\log_a(b)+\log_a(c)[/tex].
Using this rule,
[tex]\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)[/tex].
We also know that [tex]\log_c(a^b)=b\log_c(a)[/tex].
Using this rule,
[tex]\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)[/tex]
Now we know that [tex]\log_c(A)=2,\log_c(B)=5[/tex] so,
[tex]5\cdot2+3\cdot5=10+15=\boxed{25}[/tex].
Hope this helps :)
find r and s on the triangle
Answer:
r=24
s=21
Step-by-step explanation:
I use proportion of 2 to 3
I multiply 16 and 3/2 to get r
r=24
I multiply 14 and 3/2 to get s
s=21
Which function has a domain and range that includes all real values?
Answer:
the third one
the line extends in both ways forever
A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. Make a 3 x 3 matrix showing the wire requirements. Assign the cable types to the rows and the wire types to the columns.
A) [2 1 2 1 2 1 2 1 3].
B) [3 3 2 1 2 1 2 1 1].
C) [3 1 2 3 2 1 2 1 2].
D) [2 1 3 1 2 1 2 1 2].
Answer:
The answer is (B) but with 2 as the last item in the matrix, instead of 1.
Step-by-step explanation:
The grand topic is MATRICES.
In Matrices, there are rules to follow when creating a matrix - which is a 'row by column' arrangement of objects or figures.
Rule 1: Identify your rows and columns.
What is a row? A row is a 'left to right' arrangement of items; also called a horizontal arrangement of items. What is a column? A column is an 'up to down' arrangement of items; also called a vertical arrangement of items.
Rule 2: Start your arrangement by rows.
Before reaching the instruction in the question, I already arranged the data for cables on the rows and the data for wire colors on the columns. You should follow this rule always; from the first information given in the question.
Rule 3: Nomenclature
This is the naming of a given matrix. In naming a matrix, consider the rows first before the columns. For example, a matrix with three rows and four columns with be called a 3 by 4 matrix and not a 4 by 3 matrix. In the case of this question, there is an equal number of rows and columns, so even if you counted the columns first, it wouldn't be noticed. Nevertheless, always count the rows first.
Having arranged the figures in a 3 by 3 matrix,
The full data on Cable A appears on the first row. The full data on Cable B appears on the second row. The full data on Cable C appears on the third row.
The full data on Black wires appears on the first column. The full data on White wires appears on the second column. The full data on Red wires appears on the third column.
So the answer is [tex]\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right][/tex]
Kudos!
Find the area of the circle round your answer to the nearest 10th
Answer:
The area is 19.63.
Step-by-step explanation:
Step-by-step explanation:
Area of a circle is
[tex]area = \pi \: r ^{2} [/tex]
area=3.14(2.5)²
19.63in²
how do i convert 134five to base ten
Answer:
44
Step-by-step explanation:
1×5² + 3×5¹ +4×5⁰
25+15+4
44
Find the domain of the function.
f (x) =2/5x+4
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
The domain of the function is (-∞, ∞)
hope this helps!
I will give you brainliest if you answer this correctly
Answer:
Mark Brainliest please
The answer is 1
Step-by-step explanation:
(1 — x^ m-n) ^-1 + (1- x ^n-m)^ -1
1/[1-x^(m-n)] + 1/[1-x^(n-m)]
1/[1-x^m × x^(-n)] + 1/[1-x^n × x^(-m)]
x^n/(x^n - x^m) + x^m/(x^m - x^n)
x^n/(x^n - x^m) - x^m/(x^n - x^m)
Now taking the LCM here, we get
(x^n - x^m)/(x^n - x^m)
what is the prime product of 120
Answer:
[tex]2^{3} * 3 * 5[/tex]
Step-by-step explanation:
Find the value of x.
x
9
9
7
x = [?]
Answer:
14
Step-by-step explanation:
Solve.
x² + 5x – 2=0
Answer:
1
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
2
+
5
−
2
=
0
x^{2}+5x-2=0
x2+5x−2=0
=
1
a={\color{#c92786}{1}}
a=1
=
5
b={\color{#e8710a}{5}}
b=5
=
−
2
c={\color{#129eaf}{-2}}
c=−2
=
−
5
±
5
2
−
4
⋅
1
(
−
2
)
√
2
⋅
1
Step-by-step explanation:
this should help
40 percent of the teachers at a meeting are male.
Of the male teachers at the meeting, 20 percent
teach mathematics. Which of the following
could be the possible number of teachers at the
meeting?
(A) 60
(B) 64
(C) 72
(D) 75
(E) 80
Answer:
D. 75
Step-by-step explanation:
To find the possible number of teachers at the meeting, find which answer choice creates a whole number answer when calculating the 40% of teachers that are male and the 20% of them that teach math.
This number is answer choice D, 75.
40% of 75 is 30.
Of those 30 teachers, 20% of 30 is 6.
So, since each quantity is a whole number, this could be the possible number of teachers at the meeting.
The correct answer is D. 75
1. A helicopter is at a position from two VORS (VHF Omnidirectional
Radio Range, an aircraft navigation system operating in the VHF band -
not covered in chapter) as in the diagram shown below. Given the angles
shown, find the third angle.
Helicopter
74.0°
66.0°
VOR
VOR
The position of the helicopter and the two VORs forms a triangle and the third angle formed by these three entities is 40 degrees
The diagram is not shown; however, the question can still be answered.
The given angles are:
[tex]\theta_1 = 74.0^o[/tex]
[tex]\theta_2 = 66.0^o[/tex]
Represent the third angle as [tex]\theta_3[/tex]
The helicopter and the 2 VORs form a triangle.
So, we make use of the following theorem to calculate the third angle
[tex]\theta_1 + \theta_2 + \theta_3= 180^o[/tex] ---- sum of angles in a triangle
Substitute known values
[tex]74.0^o + 66.0^o + \theta_3= 180^o[/tex]
[tex]140.0^o + \theta_3= 180^o[/tex]
Collect like terms
[tex]\theta_3= 180 -140.0^o[/tex]
[tex]\theta_3= 40^o[/tex]
Hence, the third angle is 40 degrees.
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evaluate (5^0-4^-1)×3/4
Answer:
[tex](5^{0} -4^{-1} )(\frac{3}{4} )\\\\=(1-\frac{1}{4^{1}} )(\frac{3}{4} )\\\\=(\frac{4}{4} -\frac{1}{4} )(\frac{3}{4} )\\\\=(\frac{3}{4} )(\frac{3}{4} )\\\\=\frac{9}{16}[/tex]
