Among the given options, option C) 2/3 is a possible probability for event Q that is greater than 1/2. Therefore, the correct answer is C) 2/3.
If event Q is more likely to occur than event T and the probability of event T is 1/2, then a possible probability of event Q could be any value greater than 1/2.
Let's dive deeper into the concept of probability and explore why option C) 2/3 is a possible probability for event Q.
When we say that event Q is more likely to occur than event T, it means that the probability of event Q is greater than the probability of event T. In this case, we are given that the probability of event T is 1/2.
To find a possible probability for event Q, select a value greater than 1/2. Option C) 2/3 fits this criterion. It indicates that event Q has a probability of 2/3, which is greater than 1/2.
Complete question
Event Q is more likely to occur than Event T. If P(Event T) = 1/2, what is a possible probability of Event Q? A)1/4 B)1/2 C)2/3 D)It cannot be determined.
The possible probability of event q is is [tex]\(\frac{3}{4}\).[/tex]
Since event Q is more likely than event T, the probability of event Q must be greater than the probability of event T.
The probability of event T is [tex]\(\frac{1}{2}\),[/tex] so the probability of event Q must be greater than [tex]\(\frac{1}{2}\).[/tex]
This satisfies the condition that event Q is more likely than event T because [tex]\(\frac{3}{4}\) (or 0.75)[/tex] is greater than [tex]\(\frac{1}{2}\) (or 0.5).[/tex]
It is important to note that there are infinitely many probabilities that are greater than [tex]\(\frac{1}{2}\)[/tex] and less than or equal to 1 (the maximum probability for any event).
However, the question asks for a possible probability, and [tex]\(\frac{3}{4}\) is[/tex] a valid example that meets the given criteria.
HELP PLEASE HURRY!!!!!!!!!
Find the area of each figure to the nearest tenth.
See the attached pictures for the answers:
8. What’s the answer to this question please
D) $5
Half of $25 is $5
25/5= 5
What is the measure of arc WX in the diagram below ?
The measure of the arc WX is 26 degrees.
What is the secant of the circle?A secant is a line that intersects a circle in exactly two pints. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one half the positive difference of the measure of the intercepted arcs.
According to the given question.
WSX is a secant angle.
TR and WX are intercepted arcs.
Therefore, by the secant of the circle formula
[tex]\frac{1}{2} (116^{o} -WX) = 45^{o}[/tex]
[tex]\implies 116^{o} -WX = 90^{o}[/tex]
[tex]\implies WX = 116^{o} -90^{o}\\ \implies WX = 26^{o}[/tex]
Hence, the measure of the arc WX is 26 degrees.
Thus, option B is correct.
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About ______% of the area is between zequalsminus1 and zequals1 (or within 1 standard deviation of the mean).
According to the empirical rule, about 68% of the data in a normal distribution is within one standard deviation of the mean, which corresponds to z-scores between -1 and 1.
Explanation:The question is about the percentage of data found within certain ranges of standard deviations from the mean in a normal distribution, as represented by z-scores. Specifically, it refers to the proportion of data within one standard deviation (z-scores between -1 and 1). According to the empirical rule (also known as the 68-95-99.7 rule), about 68% of the data in a normal distribution is within one standard deviation of the mean.
So, about 68% of the area is between z=-1 and z=1 (or within 1 standard deviation of the mean). This empirical rule is a quick way to estimate the spread of data in a normal distribution and is useful for various statistical analyses.
The sum of two numbers is 55 and the difference is 7. What are the numbers?
larger number:
smaller number:
Answer:
31
24
Step-by-step explanation:
the larger number is 31 and the smaller number is 24 :)
The function f(x)=x^2 and its transformation f(x)=(x-k)^2 are shown below. What is the value of k?
Answer:
f(x - k) = (x - k)²⇒ k = 5Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
==============================================
Look at the picture.
The graph has been shifted 5 units to the right.
Therefore we have f(x - 5).
help me please! what is the answer of this exercise?
Answer: h = 15
Step-by-step explanation:
Volume (V) = Length (L) × width (w) × height (h)
1386 = 14 × 9 × (h - 4)
[tex]\dfrac{1386}{14\times 9}=h-4[/tex]
11 = h - 4
11 + 4 = h
15 = h
John drew a polygon with 2 line segments that meet to form a right angle.
Answer:
Step-by-step explanation:
Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines.
An object is launched from the ground straight up with a initial velocity of 120 ft/s. how long will the rock be in the air?
Answer:
t = 7.5 seconds
Step-by-step explanation:
Givens
vi = 120 f/s
a = -32 f/s
d = 0 It goes up, stops and comes back down landing where it starts.
Formula
d = vi*t + 1/2 a t^2
Solution
0 = 120*t - 1/2*32*t^2 transfer 120t to the left
-120*t = - 1/2 32 t^2 Multiply 32 and 1/2 together
- 120t = - 16 t^2 Divide both sides by t
-120 = -16 t Divide by -16
-120/-16 = (-16/-16) * t
t = 7.5 seconds
Answer:
The answer is actually C. 7.5 I just answered this question on a quiz. I'm sorry for the late response and I hope this helps!
If y=x-6 where changed to y=x+8 how would the graph of the new function compare with the first one ?
Answer:
The function [tex]y=x+8[/tex] is the function [tex]y=x-6[/tex] shifted 14 units up.
The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)
The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)
Step-by-step explanation:
The equation of the line in slope intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
The first equation is:
[tex]y=x-6[/tex]
The second equation is:
[tex]y=x+8[/tex]
The parent function with the form [tex]y=mx[/tex] can be shifted up or shifted down k units.
When [tex]y=mx+k[/tex] the function is shifted k units up.
When [tex]y=mx-k[/tex] the function is shifted k units down.
Then, the function [tex]y=x+8[/tex] is obtained by adding k=14 to the function [tex]y=x-6[/tex].
Both equation has the same slope, but the y-intercepts are different.
The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)
The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)
What is the value of the expression 3.6x10^8 / 1.2x10^3
Answer:
3 × 10⁵
Step-by-step explanation:
[tex]\dfrac{3.6\times10^8}{1.2\times10^3}=\dfrac{3.6}{1.2}\times\dfrac{10^8}{10^3}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=3\times10^{8-3}=3\times10^5[/tex]
The value of the expression 3.6x10^8 / 1.2x10^3 equals 3x10^5. In this calculation, the coefficients are divided, and the powers of 10 are subtracted.
Explanation:The question asks for the value of the expression 3.6x10^8 / 1.2x10^3. This is a division problem involving scientific notation. Here is the step by step solution:
Firstly, divide the coefficients: 3.6 ÷ 1.2 = 3 Then, subtract the powers of 10: 8 - 3 = 5 Thus, combining these results gives us 3x10^5
So, the value of the expression 3.6x10^8 / 1.2x10^3 equals 3x105.
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x-13=37 what is the value of x
Answer: x=50
Step-by-step explanation: x-13=37, add 13 to both sides to eliminate "-13" on the side with the variable to get the variable by itself and whatever is behind the equal sign is the value of x
horace wants to buy a pound of pecans. if a 1 pound bag costs $8.65 and a 4 ounce bag cost $2.35, how much money would horace save by buying the 1 pound bag instead of multiple 4 ounce bags.
Answer:
Step-by-step explanation: there is 16 oz in a pound. Horace would buy 4-4 ounce bags at 2.35 per bag which equals $9.40 and since he can pay $8.65 for a pound bag, there would be a $.75 difference
By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.
Explanation:To find out how much money Horace would save by buying the 1 pound bag instead of multiple 4 ounce bags, we need to compare the unit prices of the two bags. The 1 pound bag costs $8.65, so the cost per ounce is $8.65 divided by 16 (since there are 16 ounces in a pound), which is $0.54 per ounce. The 4 ounce bag costs $2.35, so the cost per ounce is $2.35 divided by 4, which is $0.59 per ounce. By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.
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how do i find the percentage???
What are the possible values for p in the equation below? Check all that apply. |p| = 12
Answer:
A and F
Step-by-step explanation:
The perimeter of Δ ABC is 450 ft. If AB= 9x, BC=41x and CA=40x, what is the area of the triangle?
Answer:
[tex]A = 4500 ft^2[/tex]
Step-by-step explanation:
By definition:
The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.
We know that:
[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]
The perimeter is:
[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]
Now we find the length of the sides:
[tex]AB = 45\\BC = 205\\CA = 200[/tex]
Once the length of the sides is known, we use Heron's formula to calculate the area.
First I find the semiperimeter S.
[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]
Then the Area is:
[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]
What are the roots of the polynomial equation x^3 - 7 x = 6x - 12
Answer:
x(roots) = 3, 1, -4.
Step-by-step explanation:
Find the roots by solving for x.
Hope this helps,
Davinia.
x^3 - 7x = 6x -12
Subtract 6x from both sides:
x^3 - 13x = -12
Add 12 to both sides:
x^3 - 13x +12 = 0
Factor the left side:
(x-3) (x-1)(x+4) = 0
Now solve for x in each set of parenthesis so they all equal 0:
x = 3
x = 1
x = -4
The roots are 3,1, -4
What time and day will it be
154hr 36 mins after Thursday 1:26pm?
The time and day that will be 154 hours and 36 minutes after Thursday 1:26pm is Thursday at 8:02pm.
Explanation:To determine the day and time that will be 154 hours and 36 minutes after Thursday 1:26pm, we need to perform some calculations:
Add 154 hours to the given time of 1:26pm. This gives us a new time of 7:26pm on the same day.Next, add 36 minutes to the new time of 7:26pm. This gives us a final time of 8:02pm on the same day.Since the question asks for the day as well, the answer would be the same Thursday, with a time of 8:02pm.Therefore, it will be Thursday at 8:02pm 154 hours and 36 minutes after Thursday 1:26pm.
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what is f(-8) equal to......Please correct
Answer:
Your answer is incorrect. Correct answer is f(-8) = -3
Step-by-step explanation:
[tex]f(x)=\dfrac{x+2}{2}\\\\f(-8)\to\text{put x = -8 to the equation of the function}\ f:\\\\f(-8)=\dfrac{-8+2}{2}=\dfrac{-6}{2}=-3[/tex]
The value of f(-8) refers to the result of a function, f(x), when x equals -8. However, without the specific function, we cannot provide an exact value.
Explanation:To determine the value of f(-8), we need to know the function f(x). In mathematics, f(-8) typically refers to the value of a function, denoted as f(x), at x=-8. For instance, if we have the function f(x) = x^2, then f(-8) would equal to (-8)^2, which is 64. However, without knowing the specific equation for f(x), we cannot provide the exact answer for f(-8).
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please help me this is urgent
Answer:
99.9
Step-by-step explanation:
The dot pot shows the number of miles Zac ran each day
Answer:
could you specify the question because im not sure what it is??
1)Find the area of a parallelogram with base b and height h
b=82 cm
h=16.6 cm
a) 1,361.2 cm²
b)6,724 cm²
c)137.78 cm²
d)98.6 cm²
Answer:
i got A
Step-by-step explanation:
Final answer:
The area of the parallelogram is 1357.2 cm²
Explanation:
This question is based on basic understanding of geometry in general and about basics of parallelogram in particular.
There are two formulas to find area of parallelogram
1. By using the formula of area = ¹/₂ × d1 × d2 × sin Ф where; d1 and d2 are diagonals and sin Ф is the angle between diagonals.
2. By using the formula of area = b × h
Since, base and height are given in the question, second formula will be used
So, to find the area of a parallelogram, we use the formula:
A = base × height
Given:
Base (b) = 82 cmHeight (h) = 16.6 cmSubstituting the values in the formula, we get:
A = 82 cm × 16.6 cm = 1357.2 cm²
Therefore, the area of the parallelogram is 1357.2 cm²
kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 degrees, how far is Kurt standing from the base of the pole?
angle of elevation, aoe = 59 deg
height, h = 40ft
distance from pole, dfp
using
tan 59deg = h/dfp
=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft
Answer:
24.04 ft
Step-by-step explanation:
Kurt spots a bird sitting at the top of a 40 foot tall telephone pole
Consider the right triangle formed by the line joining the base of telephone pole and Kurt's leg, the pole itself and line joining Kurt leg and top of pole.
This is right angled and since angle of elevation is given as 59
we have
height of pole/distance of Kurt from base = tan 59
i.e. [tex]\frac{40}{x} =tan 59\\x =40cot 59[/tex]
where d is the required distance of Kurt from the pole.
Hence x = 24.038
=24.04 feet
Help on number four please?
Answer:
49
Step-by-step explanation:
Bisection means that the angle is divided exactly in half.
All you have to do it divide 98/2 to find the angle measure of MVP
That number is 49.
Which measure of central tendency best describes situation the favorite fruit sold in the cafeteria explain
Answer:
the mode
Step-by-step explanation:
The mode of a set of data values is the value that appears most often. if it is the favorite, it will have the most votes so it will be what appears most often
Final answer:
The mode is the best measure of central tendency to describe the favorite fruit sold in the cafeteria because it shows the most frequently sold fruit. However, the mean could also be relevant if the average sales are of interest, while the median is typically less informative for this specific question.
Explanation:
The measure of central tendency that best describes the favorite fruit sold in the cafeteria would typically be the mode. This is because the mode identifies the category with the highest frequency, which means it represents the fruit that appears most often in the sales data, or in other words, the favorite. However, to provide a definitive answer, one would need to analyze the actual sales data of fruits sold in the cafeteria. If we're looking solely at what is most common without considering how much more common, then the mode suffices. If, on the other hand, we're interested in the average number of each type of fruit sold, then the mean would be more appropriate. The mean is calculated by taking the sum of all observations and dividing by the number of observations. The measure of central tendency known as the median might be less useful in this specific case unless we're interested in the middle value of fruit sales when they're ordered from least to most sold.
10.........................
The answer is:
a. [tex]a^{\frac{3}{2}}bc^{2}[/tex]
Why?To simplify the expression, we need to transform the radical into a exponential form, then apply the exponential property.
Transforming radical to exponential form:
[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]
Power of a power property:
[tex](a^{m})^{n}=a^{mn}\\\\(a^{m})^{\frac{1}{n}}=a^{\frac{m}{n}}[/tex]
So,
[tex]\sqrt[4]{a^{6}b^{4}c^{8}}=(a^{6}b^{4}c^{8})^{\frac{1}{4}}\\\\(a^{6}b^{4}c^{8})^{\frac{1}{4}}=a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}\\\\a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}=a^{\frac{3}{2}}bc^{2}[/tex]
Have a nice day!
Solve –5√ x = –15 Please help!
Answer:
x=9
Step-by-step explanation:
First divide both sides by -5. Once you do this you should have a result of √x=3. from here, square both sides. This will give you an answer of 9
Answer:
x = 9Step-by-step explanation:
[tex]Domain:\ x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\qquad\text{square both sides}\\\\(\sqrt{x})^2=3^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\x=9[/tex]
Plz help !!!!!!!!!!!!
Answer: √2
Step-by-step explanation:
[tex]\sqrt[4]{4} =\sqrt[4]{2^2} =2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt2[/tex]
Please help (thanks)
A. 6
B. 7
C. 8
D. 9
Answer:
C 8
Step-by-step explanation:
To find the interquartile range take the third quartile (the right line of the box) and subtract the first quartile (the left line of the box)
33-25 = 8
if a group of four friends went to the movies in addition to their tickets they bought a large bag of popcorn to share for $6.25 the total was $44.25
Answer:
Each ticket cost $9.50
Step-by-step explanation:
4x+6.25=44.25
-6.25. -6.25
4x=38
x=9.50
The cost of each movie ticket is $9.5.
Given that, a group of four friends went to the movies they bought a large bag of popcorn to share for $6.25 the total was $44.25.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the cost of each movie ticket be x.
Now, 4x+6.25=44.25
⇒ 4x=44.25-6.25
⇒ 4x=38
⇒ x=38/4
⇒ x=$9.5
Hence, the cost of each movie ticket is $9.5.
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"Your question is incomplete, probably the complete question/missing part is:"
A group of 4 friends went to the movies in addition to their tickets, they bought a large bag of popcorn to share for 6.25 the total was $44.25 what is the cost of one movie ticket?