Answer:
The mean is more useful in this case because it would give an average value of the accidents for example 3 accidents per year but the median would give the middle value which may be 5 or greater or much lesser than the average. It would not give an approximate value of occurrences.
Step-by-step explanation:
Mean is the averaage of all the values.
Median is the value of the data which gives an estimate of the middle value. Middle values can be different than the average values.
The mean is
1) rigorously defined by a mathematical formula.
2) based on all the observations of the data
3) affected by extreme values
The meadian is
1) computed for open end classes like income etc.
2) not rigorously defined
3) is located when the values are not capable of quantitative measurment.
4) is not affected by extreme values.
The mean is more useful in this case because it would give an average value of the accidents for example 3 accidents per year but the median would give the middle value which may be 5 or greater or much lesser than the average. It would not give an approximate value of occurrences.
Describe appropriate domain and range for the function (blood alcohol con tent, reflex time)for a single person
Answer:
If we have a function f(x) = y.
the set of possible values of x is called the domain
the set of possible values of y is called the range.
In this case, we have:
Blood alcohol content vs Reflex time,
The possible values of alcohol in blood content depend on the particular person, but we can have a minimum of 0.0 (no alcohol in blood) and a maximum of .51 (for a 90 lb person) because at this range the person enters the risk of death.
So the domain is: D = [0.0, 0.51]
But, we actually can have higher values of alcohol in blood, so we actually can use a domain:
D = [0.0, 1.0]
For the range, we need to see at the possible values of the reflex time.
And we know that the human reflex time is in between 100ms and 500ms
So our range can be:
R = [100ms, 500ms]
Help ASAP!!!
Find the given angle, to the nearest degree.
Answer:
[tex]\boxed{\mathrm{x = 43.8 \ degrees}}[/tex]
Step-by-step explanation:
Let the angle be x
Tan x = [tex]\frac{opposite}{adjacent}[/tex]
Where opposite = 48, Adjacent = 50
Tan x = [tex]\frac{48}{50}[/tex]
Tan x = 0.96
x = [tex]Tan ^{-1}0.96[/tex]
x = 43.8 degrees
Answer:
[tex]\boxed{43.8 \°}[/tex]
Step-by-step explanation:
Use tangent since hypotenuse length is not given.
[tex]tan \theta = \frac{opposite}{adjacent}[/tex]
[tex]tan(x)=\frac{48}{50}[/tex]
[tex]x=tan^{-1}(\frac{48}{50} )[/tex]
[tex]x=43.8[/tex]
select the fraction equivalent of 0.06. reduce to the lowest terms
Answer: 3/50
Step-by-step explanation:
0.06 = 6/100 , 100 would be the denominator because we have two figures after the decimal point. Each figures can also be represented by 10,
Again,
0.06 = 6 × 10-²
Now 0.06 = 6/100
= 3/50.
Therefore, the fractional form = 3/50 in its lowest term.
- Find the circumference of the circle with the given radius or diameter. Use 3.14.
diameter = 10 cm
A. 15.7 cm
B. 314 cm
C. 78.5 cm
D. 31.4 cm
Answer:
C = 31.4 cm
Step-by-step explanation:
C = pi * d where d is the diameter
C = 3.14 * 10
C = 31.4 cm
Circumference = pi x diameter
= 3.14 x 10
= 31.4 cm
The answer is D. 31.4 cm.
Which of the following shows the graph of y = –(2)x – 1? On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 0.5). On a coordinate plane, a curve is level at y = negative 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2). On a coordinate plane, a curve is level at y = 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, 0).
Answer:
On a coordinate plane, a curve is level at y = -1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, -2).
Step-by-step explanation:
y = -2 ^x -1
On a coordinate plane, a curve is level at y = – 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, -2). Option C is correct.
What is Cartesian coordinate plane?The Cartesian coordinate plane is a two-dimensional plane with infinite dimensions. On an endless 2d plane, any two-dimensional figure can be drawn. A location is assigned to each point on a Cartesian plane.
On a coordinate plane, a curve is level at y = – 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, -2).
Hence, option C is correct.
To learn more about the Cartesian plane, refer;
https://brainly.com/question/27538987
#SPJ2
which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms. y=2x 2x+3y=16 a. 4x=16 b. 5y=16 c. 8x=16 d. 5x=16
Answer:
C. [tex]\Rightarrow \bold{8x = 16}[/tex]
Step-by-step explanation:
Given the two equations:
[tex]y=2x ........ (1)\\ 2x+3y=16.......(2)[/tex]
To find:
The correct option when value of y is substituted to 2nd equation using the 1st equation.
Solution:
First of all, let us learn about the substitution method.
Substitution method is the method to provide solutions to two variables when we have two equations and two variables.
In substitution method, we find the value of one variable in terms of the other variable and put this value in the other equation.
Now, the other equation becomes only single variable and then we solve for the variable's value.
Here, we have two equations and value of one varible is:
[tex]y=2x[/tex]
Let us put value of y in 2nd equation:
[tex]2x+3y=16\\\Rightarrow 2x + 3(2x) = 16\\\Rightarrow 2x + 6x = 16\\\Rightarrow \bold{8x=16}[/tex]
So, the correct answer is option C. [tex]\Rightarrow \bold{8x = 16}[/tex]
Answer: 8x=16
Step-by-step explanation:a pex
In 2012, entering freshmen at the UA have an average ACT score of 25.4 with a standard deviation of 2.1. 1. What is the probability a student has an ACT score more than 24.1
Answer:
P [ Z > 24,1 ] = 72,24 %
Step-by-step explanation:
P [ Z > 24,1 ] = 1 - P [ Z < 24,1 ]
P [ Z < 24,1 ] = ( Z - μ₀ ) / σ
P [ Z < 24,1 ] = ( 24,1 - 25,4) / 2,1
P [ Z < 24,1 ] = - 1,3/ 2,1
P [ Z < 24,1 ] = - 0,6190 ≈ - 0,62
We look in z-table and find for z(score) -0,6190
P [ Z < 24,1 ] = 0,27763
Then
P [ Z > 24,1 ] = 1 - 0,27763
P [ Z > 24,1 ] = 0,72237 ⇒ or P [ Z > 24,1 ] = 72,24 %
Suppose an object moves along the y-axis (marked in feet) so that its position at time x (in seconds) is given by the f(x) = 96x -16x^2, find the following.
A) The instantaneous velocity function v = f (x).
B) The velocity when x = 0 and x = 4 seconds.
C) The time(s) when v = 0
Answer:
A) v = f(x) = 96 -32x
B)the velocity when x = 0
V = 96 ft/s
The velocity when x =4
V = -32 ft/s
C). Time when v= 0
3 seconds = x
Step-by-step explanation:
f(x) = 96x -16x^2
The above equation represents the position of the object at x time along the x axis.
The velocity will be determined by differentiating the equation with respect with x
f(x) = 96x -16x^2,
D f(x)/Dx= 96 -2(16x)
D f(x)/Dx= 96 -32x
v = f(x) = 96 -32x
The velocity when x = 0
v = f(x) = 96 -32x
V = f(0) = 96-32(0)
V = 96 ft/s
The velocity when x = 4
v = f(x) = 96 -32x
V = f(4) = 96-32(4)
V = 96 - 128
V = -32 ft/s
Time when v= 0
v = f(x) = 96 -32x
0= 96 -32x
-96= -32x
-96/-32=x
3 seconds = x
What is the distance betweem points W and X to the nearest hundredth?
Answer:
16.97 Units
Step-by-step explanation:
From the graph
Point W is located at (-6,4)
Point X is located at (6,-8)
To determine the distance between points W and X, we use the distance formula.
[tex]\text{Distance Formula}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex](x_1,y_1)=(-6,4)\\(x_2,y_2)=(6,-8)[/tex]
So,
[tex]WX=\sqrt{(6-(-6))^2+(-8-4)^2} \\=\sqrt{(6+6)^2+(-12)^2}\\=\sqrt{(12)^2+(-12)^2}\\=\sqrt{288}\\=16.97$ units (correct to the nearest hundredth)[/tex]
A dollar bill is 0.0043 inches thick. How many yards high
is a
pile of a million $1 bills
Hey there! I'm happy to help!
First, let's multiply this thickness by one million to see how many inches this pile is.
0.0043*×1,000,000=4,300 inches
We know that there are 12 inches in a foot and 3 feet in a yard, so there must be 36 inches in a yard.
So, we divide our 4,300 inches by 36 to find how many yards high this pile is.
4300÷36=119 4/9
Therefore, a pile of a million $1 bills is 119 4/9 yards high.
Have a wonderful day! :D
The answer choices below represent different hypothesis tests. Which of the choices are one-tailed tests? Select all correct answers. Select all that apply: H0:p=0.46, Ha:p<0.46 H0:p=0.34, Ha:p≠0.34 H0:p=0.63, Ha:p≠0.63 H0:p=0.35, Ha:p≠0.35 H0:p=0.39, Ha:p<0.39
Answer:
H0:p=0.46, Ha:p<0.46
H0:p=0.39, Ha:p<0.39
Step-by-step explanation:
A one tailed test occurs in such a way that the value/results gotten is one sided and can either be lesser or greater than the particular given value but cannot be both.
Thus, in this case a one sided test includes
H0:p=0.46, Ha:p<0.46
H0:p=0.39, Ha:p<0.39
2{ 2[24 + 4(23 - 14) - 25]}
Answer:
140
Step-by-step explanation:
2{ 2[24 + 4(9)-25]}
2{ 2[24 + 36-25]}
2{ 2[35]}
2(70)
140
Part A: Factor 3x2c2 + 5xc2 − 2c2. Show your work. (4 points) Part B: Factor x2 + 6x + 9. Show your work. (3 points) Part C: Factor x2 − 9. Show your work. (3 points) (10 points)
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
A) 3x²c² + 5xc² - 2c²
Factor c² from all terms in the expression.
c²(3x² + 5x - 2)
Factor 3x² + 5x - 2
c²(3x-1)(x+2)
B) x² + 6x + 9
x² + 3x + 3x + 9
Factor common terms.
x(x+3)+3(x+3)
Take x+3 common.
(x+3)(x+3)
C) x² - 9
x² -3²
Apply formula : a² - b² = (a+b)(a-b)
(x+3)(x-3)
Answer:
A) [tex]c^2(3x-1)(x+2)[/tex]
B) [tex](x+3)(x+3)[/tex]
C) [tex](x+3)(x-3)[/tex]
Step-by-step explanation:
Part A:
[tex]3x^2c^2+5xc^2-2c^2[/tex]
Taking [tex]c^2[/tex] common
[tex]c^2(3x^2+5x-2)[/tex]
Using mid term break formula
[tex]c^2 (3x^2+6x-x-2)[/tex]
[tex]c^2[3x(x+2)-1(x+2)][/tex]
[tex]c^2(3x-1)(x+2)[/tex]
Part B:
[tex]x^2 + 6x + 9.[/tex]
[tex](x)^2+2(x)(3)+(3)^2[/tex]
[tex](x+3)^2[/tex]
[tex](x+3)(x+3)[/tex]
Part C:
[tex]x^2-9[/tex]
[tex](x)^2-(3)^2[/tex]
[tex](x+3)(x-3)[/tex]
There are three times as many fiction books as non-fiction books in a library. 120 fiction and 24 non-fiction books are loaned out. There are now twice as many non-fiction books as fiction books. How many books were in the library?
How do I work this out step by step?
Answer:
672
Step-by-step explanation:
If we call the number of non-fiction books as x, the number of fiction books would be 3x. Therefore: we can write the following equation:
3x - 120 = 2(x - 24) ← the 3x - 120 and x - 24 represents the new number of books
3x - 120 = 2x - 48
x - 120 = 48
x = 168 which means 3x = 3 * 168 = 504, therefore the total number of books is 168 + 504 = 672.
What might be done to make the ratio from the coin flipping exercise become more similar to the ratio from question
Answer:
When a coin is tossed, we have possibilities of a head, a tail, a head-head, a tail-tail, a head-tail, a tail-head. Similarly, question ratio can be in 1/4, 1/2, 1
Step-by-step explanation:
Ratio of obtaining a head is 0.5 ≡ 50%
Ratio of obtaining a tail is 0.5 ≡ 50%
Ratio of obtaining a head or tail is 0.25 ≡ 25%
Ratio of obtaining a tail or head is 0.25 ≡ 25%
Ratio of obtaining a head is 0.5 ≡ 50%
Ratio of obtaining a tail is 0.5 ≡ 50%
Ratio of obtaining a head or tail is 0.25 ≡ 25%
Ratio of obtaining a tail and head is 0.0625=6.25%
Ratio of obtaining a head and tail is 0.0625=6.25%
Similarly, question ratio can be in 1/4, 1/2, 1
Helpppp..................
Answer:
0.11
Step-by-step explanation:
Hello,
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)} \ \ \text{ so ...}\\\\P(A\cap B)=P(A|B)\cdot {P(B)= 0.55 * 0.2 = 0.11\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Please help!! Need help with Geometry! Would really appreciate it!!
Answer:
The answer is the first one
Step-by-step explanation:
The rays are: XW, ZY
The lines are: XZ
Rays are with one endpoint and one side that goes forever (aka and arrow).
A line has no endpoint going on forever in both directions.
Answer:
The first one
Step-by-step explanation:
Since a line is an infinite object, with no starting or ending point we symbolize it by an arrow over two points that belong to this line:
[tex]\line{XY}[/tex]
A ray, on the other hand has a starting point and no ending point.
So, in the picture we have a pair of rays, with common points to the line XY
Namely:
XW e ZY
In △ABC, GF=17 in. What is the length of CF¯¯¯¯¯? Enter your answer in the box.
Answer:
51 inches
Step-by-step explanation:
The centroid G divides each median into the ratio 2:1, so GF is 1/3 of CF. That is, ...
CF = 3(GF) = 3(17 in)
CF = 51 in
Show that between any two terminating decimals ,there is another terminating decimal
Answer:
1.5+1.7/2=1.6
Step-by-step explanation:
PLEASE HELP!!! Find the area of the shaded polygon:
Answer:
147
Step-by-step explanation:
Use Bayes' theorem to find the indicated probability 5.8% of a population is infected with a certain disease. There is a test for the disease, however the test is not completely accurate. 93.9% of those who have the disease test positive. However 4.1% of those who do not have the disease also test positive (false positives). A person is randomly selected and tested for the disease. What is the probability that the person has the disease given that the test result is positive?
a. 0.905
b. 0.585
c. 0.038
d. 0.475
Answer:
b. 0.585
Step-by-step explanation:
According to Bayes' theorem:
[tex]P(A|B)=\frac{P(B|A)*P(A)}{P(B)}[/tex]
Let A = Person is infected, and B = Person tested positive. Then:
P(B|A) = 93.9%
P(A) = 5.8%
P(B) = P(infected and positive) + P(not infected and positive)
[tex]P(B) = 0.058*0.939+(1-0.058)*0.041\\P(B)=0.09308[/tex]
Therefore, the probability that a person has the disease given that the test result is positive, P(A|B), is:
[tex]P(A|B)=\frac{0.939*0.058}{0.09308}\\P(A|B)=0.585[/tex]
The probability is 0.585.
given that H0: μ=40 against H1: μ < 40 if mice have an average life of 38 months with a standard deviation of 5.8 months. If the distribution of life spans is approximately normal, how large a sample is required in order that the probability of committing a type II error be 0.1 when the true mean is 35.9 months? Assume that level of significance 0.05.
Answer: sample required n = 18
Step-by-step explanation:
Given that the value under under null hypothesis is 40 while the value under the alternative is less than 40, specifically 35.9
∴ H₀ : u = 40
H₁ : u = 35.9
therefore β = ( 35.9 - 40 ) = -4.1
The level of significance ∝ = 0.05
Probability of committing type 11 error P = 0.1
standard deviation α = 5.8
Therefore our z-vales (z table)
Z₀.₅ = 1.645
Z₀.₁ = 1.282
NOW let n be sample size
n = {( Z₀.₅ + Z₀.₁ )² × α²} / β²
n = {( 1.645 + 1.282 )² × 5.8²} / (- 4.1)²
n = 17.14485
Since we are talking about sample size; it has to be a whole number
therefore
sample required n = 18
Given: circle k(O), O∈ AB ,CD ⊥ AB Prove: △ADC∼△ACB
HELP ASAP 20 POINTS AND BRAINLIEST!!!
Answer:
Step-by-step explanation:
Given : In a circle O,
AB is a diameter and CD⊥AB,
To Prove :
ΔADC ~ ΔACB
Solution :
In ΔADC and ΔACB,
m∠ADC = 90° [Given]
m∠ACB = 90° [Angle subtended by the diameter = 90°]
m∠ADC ≅ m∠ACB ≅ 90°
∠A ≅ ∠A [Reflexive property]
Therefore, ΔADC ~ ΔACB [By AA postulate of similarity]
Find the Perimeter of the polygon if angle B= angle D Please Help Trying to graduate.
Answer:
P = 60 cm
Step-by-step explanation:
To solve this question we will use the property of the tangents drawn from a point to a circle.
"Length of tangents drawn from a point to a circle are equal in measure."
By this property,
Therefore, BG ≅ FB ≅ 7.5 cm
AG ≅ AH ≅ 6.5 cm
CF ≅ EC ≅ 8.5 cm
Since m∠B ≅ m∠D
Therefore, length of tangents FB ≅ GB ≅ DE ≅ DH ≅ 7.5 cm
Since, Perimeter of ABCD = AB + BC + CD + DA
AB = 7.5 + 6.5 = 14 cm
BC = 7.5 + 8.5 = 16 cm
CD = 8.5 + 7.5 = 16 cm
DA = 7.5 + 6.5 = 14 cm
Now Perimeter = 16 + 16 + 14 + 14 = 60 cm
Therefore, P = 60 cm will be the answer.
Please solve this problem in a statement reason setup.
Step-by-step explanation:
Statement: ∠O ≅ ∠O
Reason: Reflexive property
Statement: m∠OKW = 90° − m∠O
Reason: Complementary angles
Statement: m∠OJP = 90° − m∠O
Reason: Complementary angles
Statement: m∠OKW = m∠OJP
Reason: Substitution
Statement: ∠OKW ≅ ∠OJP
Reason: Definition of congruent angles
Statement: ΔOKW ~ ΔOJP
Reason: AA similarity
verify sin(360 - etheta = -sin etheta
Answer:
see explanation
Step-by-step explanation:
Using the subtraction identity for sine
sin(a + b) = sinacosb - cosasinb
Given
sin(360 - Θ)°
= sin360°cosΘ° - cos360°sinΘ°
= (0 × cosΘ ) - (1 × sinΘ)
= 0 - sinΘ
= - sinΘ ← as required
Which One Doesn't Belong? Why?
There are multiple reasons that each one of these 4 could be different than the others.
I just need an answer from one of these 4.
Suppose that the local sales tax rate is 6% and you purchase a computer for $1260.
a. How much tax is paid?
b. What is the computer’s total cost?
Answer:
a. $75.60
b. $1335.60
Step-by-step explanation:
A. First convert the percentage to a decimal.
6% = 0.06
Multiply the cost of the computer by the decimal to find the tax paid.
$1260 × 0.06 = $75.60
B. To find the total cost, add the cost of the computer with the tax.
$1260 + $75.60 = $1335.60
The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle. Find the measure of both angles.
Answer:
A= 35°
b= 55°
Step-by-step explanation:
Let's take the small angles of the right angle triangle to be and b
a+b +90= 180....(sum of angles in a right angle triangle)
The measure of one of the small angles of a right triangle is 15 less than twice the measure of the other small angle
2a-15= b
a+2a -15 +90= 180
3a = 180-75
3a= 105
a= 105/3
a= 35°
a+b +90= 180.
35+b+90= 180
b = 180-90-35
b = 55°
Answer:
x = 35°; y = 55°
Step-by-step explanation:
Let x = one of the angles
and y = the other angle. Then
2x = twice the measure of x and
2x - 15 = 15 less than twice the measure of x
You have two conditions
(1) y = 2x - 15
(2) x+ y = 90
Calculations:
[tex]\begin{array}{lrcll}(1) & y & = & 2x - 15\\(2)& x + y & =&90\\(3)& x + 2x - 15 & =&90&\text{Substituted (1) into (2)}\\& 3x- 15 & = & 90&\text{Simplified}\\&3x & = & 105&\text{Added 15 to each side}\\ (4)& x & = & \mathbf{35}&\text{Divided each side by 3}\\& y & = & 2(35) - 15&\text{Substituted (4) into (1)}\\& & = & 70 - 15&\text{Simplified}\\&&=&\mathbf{55}&\end{array}\\[/tex]
x = 35°; y = 55°
Check:
[tex]\begin{array}{ccc}55 = 2(35) - 15 & \qquad & 35 + 55 = 90\\55 = 70 - 15 & \qquad & 90 = 90\\55 = 55 && \\\end{array}[/tex]
It checks.
You bet $50 on 00 in a game of roulette. If the wheel spins 00, you have a net win of $1,750, otherwise you lose the $50. A standard roulette wheel has 38 slots numbered 00, 0, 1, 2, ... , 36. What is the expected profit for one spin of the roulette wheel with this bet?
Answer:
-$2.63
Step-by-step explanation:
Calculation for the expected profit for one spin of the roulette wheel with this bet
Based on the information given you bet $50 on 00 while the standard roulette has 38 possible outcomes which means that the probability or likelihood of getting 00 will be 1/38.
Therefore when we get an 00, we would get the amount of $1,750 with a probability of 1/38 and in a situation where were we get something other than 00 this means we would lose $50 with a probability of 37/38.
Now let find the Expected profit using this formula
Expected profit = sum(probability*value) -sum(probability*value)
Let plug in the formula
Expected profit =($1,750 * 1/38) - ($50 * 37/38)
Expected profit=($1,750*0.026315)-($50×0.973684)
Expected profit= 46.05 - 48.68
Expected profit = - $2.63
Therefore the expected profit for one spin of the roulette wheel with this bet will be -$2.63