![Solve.5x 10 <20O (-00, 2]O (-0,2)O (-00, 6]O (-0, 6)](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/cU7TLQkHcXV0X3kx5mntxbsunQs9mGxa.png)
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Please solve this problem in a statement reason setup.
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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
The number of times a player has golfed in one's
lifetime is compared to the number of strokes it takes
the player to complete 18 holes. The correlation
coefficient relating the two variables is 0.26.
Which best describes the strength of the correlation,
and what is true about the causation between the
variables?
It is a weak negative correlation, and it is not likely
causal.
O It is a weak negative correlation, and it is likely
causal.
O It is a strong negative correlation, and it is not likely
causal.
O It is a strong negative correlation, and it is likely
causal.
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Answer:
It is a weak negative correlation, and it is likely causal.
Step-by-step explanation:
Correlation coefficient can be said to be a statistical value that shows the relationship between two variables.
Here, the correlation coefficient is 0.26 which means that the magnitude of correlation is low and it causes a weak correlation.
Here, since one variable increases as the other variable decreases, the correlation is said to be negative and weak. We can see that the more a player golf's, the lower the number to required strokes. This would result in a negative slope.
Therefore, It is a weak negative correlation, and it is likely
causal.
Answer:
The correct answer is B on edge 2020.
Step-by-step explanation:
Given: circle k(O), O∈ AB ,CD ⊥ AB Prove: △ADC∼△ACB
HELP ASAP 20 POINTS AND BRAINLIEST!!!
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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]
Show that between any two terminating decimals ,there is another terminating decimal
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Answer:
1.5+1.7/2=1.6
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
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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.
2{ 2[24 + 4(23 - 14) - 25]}
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Answer:
140
Step-by-step explanation:
2{ 2[24 + 4(9)-25]}
2{ 2[24 + 36-25]}
2{ 2[35]}
2(70)
140
Find the area of the region enclosed by f(x) and the x-axis for the given function over the specified interval.
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Answer:
Step-by-step explanation:
Complete Question
The complete question is shown on the first uploaded image
Answer:
The area is [tex]A =8 sq\cdot unit[/tex]
Step-by-step explanation:
From the question we are told that
The first equation is [tex]f(x) = x^2 + x \ \ \ x< 1[/tex]
[tex]on[ -2 , 3 ][/tex]
The second equation is [tex]f(x) = 2 x \ \ \ x \ge 1[/tex]
This means that the limit of the area under the enclosed region is limited between -2 to 1 on the x- axis for first equation and 1 to 3 for second equation
Now the area under the region is evaluated as
[tex]A = \int\limits^1_{-2}{x^2 + x } \, dx + \int\limits^3_{1}{2x } \, dx[/tex]
[tex]A ={ \frac{x^3}{3} + \frac{x^2}{2} + c } | \left \ 1 } \atop {-2}} \right. + {\frac{2x^2}{2} }| \left \ 3} \atop {1}} \right.[/tex]
[tex]A =9 + c - 1 -c[/tex]
[tex]A =8 sq\cdot unit[/tex]
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.
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verify sin(360 - etheta = -sin etheta
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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
Help ASAP!!!
Find the given angle, to the nearest degree.
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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]
Please help!! Need help with Geometry! Would really appreciate it!!
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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
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).
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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
What might be done to make the ratio from the coin flipping exercise become more similar to the ratio from question
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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
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?
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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.
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?
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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
B: $1335.60
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
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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
PLEASE HELP!!! Find the area of the shaded polygon:
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Answer:
147
Step-by-step explanation:
In △ABC, GF=17 in. What is the length of CF¯¯¯¯¯? Enter your answer in the box.
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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
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.
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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
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
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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
n ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
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Answer:
48.28 cmStep-by-step explanation:
Since the shape is a cube of side 20cm, then all the side of the cube will be 20cm since all the side of a cube are all equal.
The shortest path the ant can be take is to first travel along the diagonal of the square from point A to the other edge on the front face and then move to point B on its adjacent side on a straight line.
To get the total distance he will take, we will first calcuate the value of the diagonal distance of the square face using pythagoras theorem as shown.
hypotenuse² = opposite² + adjacent²
The opposite = adjacent = 20cm
The hypotenuse is the length of the diagonal that we need.
hyp² = 20²+20²
hyp² = 400+400
hyp² = 800
hyp = √800
hyp = 28.28 cm
The length of the diagonal is 28.28 cm.
Afterwards, the ant will move 20cm to point B from the stopping point.
Total distance will be 28.28 + 20 = 48.28 cm
Joylin’s work to solve a math problem is shown below. Problem: Manny walked StartFraction 5 Over 16 EndFraction of the distance to the library in One-third of an hour. If he walks at a constant rate, what is the total amount of time he will spend walking to the library? Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h What was Joylin’s first error? She switched the divisor and the dividend when creating an equation to model the problem in step 1. She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2. She multiplied the two numerators and the two denominators to generate her product in step 3. She reduced the improper fraction incorrectly when getting her final answer.
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Answer: She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2
Step-by-step explanation:
Answer:
She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.
Step-by-step explanation:
Find the Perimeter of the polygon if angle B= angle D Please Help Trying to graduate.
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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.
- 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
Answers
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.
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.
Answers
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.
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
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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
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?
Answers
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 -$2.63
select the fraction equivalent of 0.06. reduce to the lowest terms
Answers
Answer: 3/50
Step-by-step explanation:
0.06 = 6/100 , 100 would be the denominator because we have two figures after the decimal point. Each figures can also be represented by 10,
Again,
0.06 = 6 × 10-²
Now 0.06 = 6/100
= 3/50.
Therefore, the fractional form = 3/50 in its lowest term.
Helpppp..................
Answers
Answer:
0.11
Step-by-step explanation:
Hello,
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)} \ \ \text{ so ...}\\\\P(A\cap B)=P(A|B)\cdot {P(B)= 0.55 * 0.2 = 0.11\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
What is the distance betweem points W and X to the nearest hundredth?
Answers
Answer:
16.97 Units
Step-by-step explanation:
From the graph
Point W is located at (-6,4)
Point X is located at (6,-8)
To determine the distance between points W and X, we use the distance formula.
[tex]\text{Distance Formula}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex](x_1,y_1)=(-6,4)\\(x_2,y_2)=(6,-8)[/tex]
So,
[tex]WX=\sqrt{(6-(-6))^2+(-8-4)^2} \\=\sqrt{(6+6)^2+(-12)^2}\\=\sqrt{(12)^2+(-12)^2}\\=\sqrt{288}\\=16.97$ units (correct to the nearest hundredth)[/tex]