In the circle C given in this problem, AB is an inscribed angle.
What are inscribed angles in a circle?In geometry, an inscribed angle in a circle is an angle formed by two intersecting chords of the circle that share a common endpoint on the circle's circumference. The vertex of the inscribed angle is located on the circle, and its two sides extend to the endpoints of the intersecting chords.
The parameters for this problem are given as follows:
The two intersecting chords are AB and AD.The intersecting point on the circumference of the circle is point A.Hence AB is an inscribed angle.
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Find the volume of this cylinder.
Round to the nearest tenth.
r = 3 cm
3cm
V = [?] cm³
The volume of the given cylinder is 84.8 cm³.
Given: Radius of cylinder, r = 3cm Height of cylinder, h = 3cm
Formula used: Volume of cylinder = πr²hπ is a constant and is approximately equal to 3.14.
Volume of cylinder = πr²h= 3.14 x 3² x 3= 84.78 cm³ (rounded to the nearest tenth)= 84.8 cm³
Therefore, the volume of the given cylinder is 84.8 cm³.
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Pleaseeeeeeeeeeeee help!
The symbolic quantified statement is given as:
For all real integers x and y, if x³ = y³, then x = y.
Using quantifiers, this can be written as:
∀x,y∈ℝ, (x³ = y³) → (x = y)
What is the explanation for the above?
The symbolic quantified statement represents the original sentence using logical symbols and quantifiers.
The universal quantifier (∀) is used to denote "for all," while the implication arrow (→) represents "if... then." The statement asserts that if the cubes of any two real integers x and y are equal, then x and y are equal as well.
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Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who take the test is 10%. If pregnancy tests give a positive result in 99% of the cases where the woman is pregnant and give a negative result in 98% of the cases in which she is not pregnant, what is the probability that a woman who gets a positive test result is truly pregnant
Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.\(P(A \cap B)\) is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: Positive test result.Event B: Pregnant.The probability of a positive test result is composed by:
99% of 10%(truly pregnant).2% of 90%(not pregnant).Hence:
\(P(A) = 0.99(0.1) + 0.02(0.9) = 0.117\)
The probability of both a positive test result and pregnancy is:
\(P(A \cap B) = 0.99(0.1)\)
Hence, the conditional probability is:
\(P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462\)
0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.
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HOT DOGS Costco's beef franks (hot dogs) come in a packet with 15 beef franks inside.
Julian decides to buy 8 packs which is a grand total of 120 beef franks for his Super Bowl
Party. Julian and 3 friends each cooked a fraction of the beef franks on the grill. Julian
cooked 5/12 of the beef franks. Angel cooked 3/20 of the beef franks. Pedro cooked 1/6 of the
beef franks. Miguel cooked the rest of the beef franks. What fraction of the beef franks did
Miguei cook.
*Make sure your answer is SIMPLIFIED!
Answer:
Step-by-step explanation:
Julian bought a total of 8 packs of beef franks, each containing 15 beef franks. So the total number of beef franks is:
8 packs × 15 beef franks/pack = 120 beef franks
Julian, Angel, Pedro, and Miguel together cooked all 120 beef franks. Let's add up the fractions they cooked:
5/12 + 3/20 + 1/6 + Miguel's fraction = (25 + 9 + 10M + 60M) / (60*20)
= (34 + 70M) / 120
We know that this fraction must equal 1 (since they cooked all the beef franks), so we can set up an equation:
(34 + 70M) / 120 = 1
Solving for M, we get:
34 + 70M = 120
70M = 86
M = 43/35
Therefore, Miguel cooked 43/35 of the beef franks. This fraction can be simplified:
43/35 = 1 + 8/35
So Miguel cooked 1 and 8/35 of the beef franks.
The sum of two consecutive integers is 99. Find the integers
Answer:
48
Step-by-step explanation:
The consecutive numbers will be x and x + 1. Then write out the equation 2x + 1 = 99
Collect like terms
2x = 99 - 1
2x= 98
divide both sides by 2
x = 49
Answer:
49,50
Step-by-step explanation:
N+N+1=99 add the N's together
2N+1=99 subtract 1 from both sides
2N=98 divide 2 by 98
N=49 add the 1 from before
49+1=50
49,50 are the consecutive integers
Compute the required rate of return on two stocks with beta values of 0.5 and 2 respectively assuming the risk-
free rate of 5% and the market return of 10% using the capital asset pricing model. Please show work. Thank you.
The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.
What is Rate of return?Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.
What is stock?A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.
According to the given information:
The Capital Asset Pricing Model (CAPM) is expressed as:
R = Rf + beta*(Rm - Rf)
Where:
R = Required rate of return
Rf = Risk-free rate of return
beta = Beta coefficient (systematic risk)
Rm = Expected market return
Using the given values, we can compute the required rate of return for each stock:
Stock with beta of 0.5:
R = 5% + 0.5*(10% - 5%)
R = 7.5%
Stock with beta of 2:
R = 5% + 2*(10% - 5%)
R = 15%
Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.
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16A particle moves along the x-axis so that its velocity y at any given time t, for O≤† ≤16, is given byM(t) = e-*' -1. At time t=0, the particle is at the origin. During what intervals of time is the particlemoving to the left?Round to the nearest thousandth
We have an expression for the velocity of the particle:
\(v(t)=e^{2\sin t}-1\)We have to find when the particle moves to the left.
As the particle moves along the x-axis, this means that the velocity is negative.
We then have to find the interval where v(t) < 0.
We can find this interval as:
\(\begin{gathered} v(t)<0 \\ e^{2\sin t}-1<0 \\ e^{2\sin t}<1 \\ \ln(e^{2\sin t})<\ln(1) \\ 2\sin t<0 \\ \sin t<0 \end{gathered}\)The function sin(t) is negative for intervals between π and 2π per cycle.
As t is defined from 0 to 16, we can calculate how many cycles we have:
\(f=\frac{16}{2\pi}\approx2.546\)We will have at least 2 intervals or 3 at most where sin(t) < 0.
We can list the intervals as:
\(\begin{gathered} (\pi,2\pi) \\ (3\pi,4\pi) \\ (5\pi,16) \end{gathered}\)The third period is cut at t = 16.
We can skecth the velocity as:
We can round the intervals to the nearest thousand as:
\(\begin{gathered} (\pi,2\pi)=(3.142,6.286) \\ (3\pi,4\pi)=(9.425,12.566) \\ (5\pi,16)=(15.708,16) \end{gathered}\)Answer: the intervals for t are (3.142, 6.286), (9.425, 12.566) and (15.708, 16).
Divide the polynomials.
k
Your answer should be in the form p(x) +- where p is a polynomial and k is
X
an integer.
6x² - 4x - 3
x
=
Answer:
Step-by-step explanation:
6
Jessie is baking a cake and uses 1/2 of the 4
pound bag of flour. How many pounds of
flour did Jessie use to bake her cake?
Answer: 2 pounds of flour
Step-by-step explanation:
1/2 of four is two,
4 * 1/2 = 2
Answer:
Jessie used 1/2 of the 4-pound bag of flour, so she used 1/2 * 4 pounds = 2 pounds of flour to bake her cake.
A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place
Answer:
\(volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} \)
What is the GCF of 12, 30, and 18?
Answer:
6
Step-by-step explanation:
Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
Observe each image and identify which material will conduct electricity the best.
(I will be giving branliest to who ever answers this correctly, ty <3)
Answer:
a
Step-by-step explanation:
a
Answer: I think the 3rd one is silver, so that one.
Step-by-step explanation:
5 or the best conductors are as follows: Silver, gold, Copper, aluminum, Mercury
Let z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of c.
We have
\(P\mleft(Z>c\mright)=1-P\mleft(Z\le c\mright)=0.2676\)\(P\mleft(Z\le c\mright)=1-0.2576=0.7324\)Then we find the value in the table
ANSWER
c= 0.62
a part of Jennifer's work to solve the equation 2(6x^2-3)=11×^2-x is shown below
ok
The answer is the last choice
Distributive property ov
A medium of exchange ?
A.) People are willing to hold onto it because they’re confident that it will keep its value over time.
B.) Money simplifies the exchange process because it’s a mean of indicating how much something costs.
C.) To use money to buy the goods and services you want.
Answer:
B
Step-by-step explanation:
What is 4(3+x) and how do I solve it
Answer:
12 + 4x
Step-by-step explanation:
To solve this you would have to use the distributive property.
The problem would basically go like this.
4 (3+x)
(Distribute)
(4x3) (4 x X)
4x3 = 12, 4 x x = 4x
So the answer would be 12 +4x
Hope this helps :)
Answer:
12+4x
Step-by-step explanation:
4(3+x)
1️⃣Expand by distributing terms.
4*3+4x
2️⃣Simplify 4*3 to 12
12+4x
Answer: 12+4x
Done ✔
Part B: A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probability of drawing a Twix bar change from Part A?
A.
Yes, because it is still less likely to have an outcome of drawing a Twix.
B.
No, because it is still less likely to have an outcome of drawing a Twix.
C.
Yes, because there are still only two possible outcomes.
D.
No, because there are still only two possible outcomes.
Answer:
A
Step-by-step explanation:
it's A cuz it's the answer (I'm 99.9 percent sure)
Answer:
A
Step-by-step explanation:
There are more options of the Snickers than the Twix. Therefore meaning, it is a 4/5 chance of it being Snickers and a 1/5 chance of it being Twix.
what is the difference between ANOVA and Z-test Hypothesis
The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.
How to determine the differenceThe Z-test becomes possible in the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population
In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.
In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.
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Need help please and thank you.
Answer:
\(log_4(\frac{1}{64})=-3\)
Step-by-step explanation:
\(log_b(b^x)=x\)
Let b = base and x = the exponentLooking at the equation given, we know the base (the number with the exponent) is 4, the exponent itself is -3, and the value is 1/64. Based on this information, fill in the formula and simplify any values.
\(log_4(4^{-3})=-3\\log_4(\frac{1}{64})=-3\)
Therefore, the logarithmic form is \(log_4(\frac{1}{64})=-3\).
The travelers are adding a new room to their house. the room will be a cube with volume 3375 ft.³.they are going to put in hardwood floors, the contractor charges $10 per square foot. how much will the hardwood floors cost?
Answer:
$ 2250
Step-by-step explanation:
3375 = s³
s = ∛3375
s = 15 ft.
floor area = s² = (15 * 15)
floor area = 225 ft²
the contractor charges $10 per ft².
therefore,
the hardwood cost = 225 x $10 = $2250
Answer:
$2,250.
Step-by-step explanation:
So first, we need to find the area of the floor (the side shaded green). To do so, we first need to find the length of the one side of the room.
Since we know that the room is a cube, all side lengths are equivalent. And since we are given that the volume of the room is 3375, we can find the length of the side.
The volume of a cube is given by the formula:
\(V=s^3\)
Substitute 3375 for V:
\(s^3=3375\)
Take the cube root of both sides:
\(s=\sqrt[3]{3375}=15\)
So, the side length of the room is 15.
This means that the area of the floor is:
\(A=(15)^2\\A=225\text{ in}^2\)
They charge $10 per square foot. There are 225 square feet. Thus, the total cost will be:
\(10(225)=$2250\)
$2,250.
12.
1/2(4x — 2) – 2/3(6x + 9) <4
Answer: x > -11/2
svdbhtdtgifubhonj
Answer:
x>-11/2
I'm sorry, I did this all on paper and I don't really want to type it out. Please understand.
Hope this helps a little bit, though.
please help! thanks :)
Answer:
Interest = $7,000 * 0.05 * 4
Edward earned $1,400 in interest.
Step-by-step explanation:
Interest = original amount * rate (as a decimal) * time (in years)
Interest = $7,000 * 0.05 * 4
Interest = $1,400
I hope this helped and please mark me as brainliest!
Find the value of x in each case:
NEED IT NOW PLEASE
Angle QNM is =x by alternate angle reason (QU is parallel to MP)
X = 69
I need help with this
Answer:
7
6
3
6
7 x 6 = 42
3 x 6 = 18
Compare the absolute value function g(x) modeled by the table and the function modeled by the equation, f(x)=−(x−3)2+9 . x g(x) −3 −4 −2 0 −1 4 0 8 1 12 2 8 What is the difference in the maximum values of g(x) and f(x) ? Select from the drop-down menu to correctly complete the statement.
The difference in the maximum values of the functions g(x) and f(x) is 3
How to determine the difference in the maximum values?The functions are given as
f(x) = -(x - 3)² + 9
Table of g(x)
x −3 −4 −2 0 −1 4
g(x) 0 8 1 12 2 8
The maximum value of f(x) is when the root expression is 0
i.e. -(x - 3)² = 0
So, we have
Max f(x) = 0 + 9
Max f(x) = 9
For the table of values, we have
Max g(x) = 12
The difference between these values is
Difference = 12 - 9
Evaluate
Difference = 3
Hence, the difference is 3
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2) Apply the distributive property to solve the following.
(15 + 12) - 5
Answer:
Answer:
22
Step-by-step explanation:
15+12=27
27-5=22
A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?
Answer:
16 deliveries
Step-by-step explanation:
We can model the situation using a linear inequality. Since we're told that the driver makes $10 in tips for each delivery.Thus, this is the slope.Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made. Thus, this is the y-interceptSince he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238. Thus, we can use the following equation to find:238 ≤ 10d + 78
160 ≤ 10d
16 ≤ d
Thus, he needs to make at least 16 deliveries to make at least $238 in one day. Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.
In each diagram, line f is parallel to line g, and line t intersects lines f and g
In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.
Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.
Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.
Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.
Alternate interior angles are congruent, as well as alternate exterior angles.
By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.
It is important to measure angles systematically and compare them to find congruent or equal measures.
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Does anyone know how to do this it’s geometry angles . And you have to make an equation if you know this please help.
Step-by-step explanation:
Problem 1)
The given angle is a right angle with measure 90° so
2x + x = 90°
3x = 90°
x = 30°
Problem 2)
The given angle is a straight angle with measure of 180°
2x + 3 + x - 6 = 180° add like terms
3x - 3 = 180°
3x = 183°
x = 61°
Problem 3)
The given angles are corresponding angles with same angle measurement
x + 16 = 4x - 5
21 = 3x
7 = x
A roller coaster’s height is given by the equation h = –.025t2 + 4t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0.
11.65 seconds
50.00 seconds
171.65 seconds
210.00 seconds
The time it will take the roller coaster to reach the ground is 171.65 seconds
Function and valuesGiven the roller coaster’s height given by the following parameters
h = –0.025t² + 4t + 50
On the ground level, the height will be zero. Substitute h = 0 and determine the value of t
–0.025t² + 4t + 50 = 0
0.025t² - 4t - 50 = 0
Factorize
On factorizing the time it will take the roller coaster to reach the ground is 171.65 seconds
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