The number of tennis matches that she could have won before the weekend began is 0.
Before the weekend, the player had a win ratio of 0.500, which indicates that she had won exactly as many games as she had lost. Call this number x for now. She has so lost x matches in addition to the x matches she won before to the weekend.
She competes in three matches during the course of the weekend and loses one, bringing her overall win total (after the weekend) to x + 3 and her overall loss total (after the weekend) to x + 1. Consequently, her weekend victory ratio is
[tex]\frac{(x + 3)}{(x + 1)}[/tex]
= [tex]\frac{(3x + 3)}{(x + 1) }[/tex]
= [tex]\frac{3x }{x + 1 }[/tex]
= [tex]\frac{3}{\frac{1}{x+1} }[/tex]
given that this value is greater than 0.503,
Thus,
[tex]\frac{3}{\frac{1}{x+1} }[/tex] > 0.503
Simplifying,
[tex]\frac{3}{\frac{1}{x+1} }[/tex]> 0.503 - 1
= -0.497
Further,
[tex]\frac{3}{\frac{1}{x+1} }[/tex] > -0.497
[tex]\frac{3}{\frac{1}{x+1} }[/tex] is equivalent to 3x
This inequality can be written as
3x > -0.497
3x is positive, dividing on both sides by 3 we get
x > -0.497 / 3
Simplifying,
x > -0.166
The least value of x that meets this inequality is 0, as x, the number of matches won, must be a positive integer. Thus, the maximum number of games the player might have won prior to the start of the weekend is x = 0, and the response is 0.
To learn more about ratio: https://brainly.com/question/12024093
#SPJ4
Answer:
164
Step-by-step explanation:
Let n be the number of matches she won, and m be the number of matches she played. Then, n/m = 1/2 and (n + 3) / (m + 4) > 0.503. By the first equation, 2n = m. Substituting m = 2n into the second equation/inequality, we get (n + 3) / (2n + 4) > 0.503. Because n cannot be negative in this context, we can multiply both sides by (2n + 4). We get n + 3 > 0.503 (2n + 4). Distributing the right-hand side, we get n + 3 > 1.006n + 2.012. Solving this inequality gives us 0.006n < 0.988, or n < 164.666667. n must be a whole number, so the greatest n you can achieve is 164.
On an actual test, you can also check using answer choices if given them. 164 gives around 0.50301, so it is 164, or cannot be determined. Then it is a 50/50 guess, and 164 is most likely the correct answer, which in this case, is the correct answer.
This ques Part A It takes Ernest's grandfather clock 2 seconds to chime. What equation can be used to model the total time y for number of chimes x? Write the equation in the form y = kx?
The equation that can be used to model the total time y for number of chimes is y = 2x.
What equation can be used to model the total time y for number of chimes x?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
From the information, it takes Ernest's grandfather clock 2 seconds to chime.
Therefore, the equation that can be used to model the total time y for number of chimes x will be:
y = 2 × x
y = 2x.
The equation is y = 2x.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
what ratio, a:b, is represented in the table?
a b
1.5 2.5
51 85
99 165
Answers
A 4:54:5
B 2:32:3
C 3:5
Answer:is c or 3:5
Step-by-step explanation:
Which of the following statement is true about triangle inequalities?
The statement which is true about triangle inequalities is that the sum of the lengths of the 2 sides of a triangle is equal than the third side of the triangle.
What are triangle inequalities?In Euclidean geometry, triangle inequalities are a theorem which states that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In shorts, the theorem states that the shortest distance between two points is a straight line.
If the length of a side is equal to the sum of the other two sides, then the vertices have to be colinear, meaning that the three sides form a line segment rather than a triangle. This is called the triangle inequality.
Learn more about triangles at: https://brainly.com/question/2773823
#SPJ4
A survey determines that six out of every ten Niceville residents shop at Walmart: In a group of15, randomly selected Nicevillians, find the prabablllythat at least thirteenof them shop at Walmart.
From a group of 15 randomly selected residents , the probability that at least thirteen of them shop at Walmart is 0.0271 .
6 out of 10 Niceville residents shop at Walmart
So, the probability of shopping at Walmart (p) is = 6/10 = 0.6
The probability of not shopping at Walmart is (q) = 1 - 0.6 = 0.4 .
The number of members in the group is(n) = 15 ;
We have to find the probability that, at least thirteen of them shop at Walmart
By the Binomial Probability Distribution,
we know that ; P(x = a) = ⁿCₐ×pᵃ×qⁿ⁻ᵃ
So , P(x ≥ 13) = P(x=13) + P(x=14) + P(x=15)
Substituting the values of a , n and p and q ,
We get ;
= ¹⁵C₁₃p¹³q² + ¹⁵C₁₄p¹⁴q¹ + ¹⁵C₁₅p¹⁵q⁰
= ¹⁵C₁₃(0.6)¹³(0.4)² + ¹⁵C₁₄(0.6)¹⁴(0.4)¹ + ¹⁵C₁₅(0.6)¹⁵(0.4)⁰
= 0.0219 + 0.0047 + 0.0004
= 0.0271
Therefore, the required probability is 0.0271
Learn more about Binomial Probability Distribution here
https://brainly.com/question/26077592
#SPJ4
A radioactive substance decays according to A=A0e−0.0037t, where A0 is the initial amount and t is the time in years. If A0=740 grams, find the time for the radioactive substance to decay to 373 grams. Round your answer to two decimal places, if necessary.
The time is taken by the substance to decay, if A radioactive substance decays according to [tex]A = A_o \times e^{-0.0037t}[/tex] Where A₀ is the initial amount and t is the time in years. If A0=740 grams is 185.18 years.
What are radioactive substances?Atoms in radioactive materials naturally decay. They are capable of emitting gamma radiation, beta radiation, and alpha radiation. They cannot be turned off, so controlling them is more challenging than controlling X-ray sources.
Given:
The initial amount, A₀ = 740 g,
The final amount, A = 373 g,
Calculate the time by using the formula given below,
[tex]A = A_o \times e^{-0.0037t}[/tex]
373 = 740 [tex]\times e^{-0.0037t}[/tex]
[tex]e^{-0.0037t}[/tex] = 373 / 740
[tex]e^{-0.0037t}[/tex] = 0.504
Taking log on both sides,
㏑ 0.504 - ㏑ 0.0037 = t
t = 185.18
Therefore, the time taken by the substance to decay if A radioactive substance decays according to A=A0e−0.0037t, where A0 is the initial amount and t is the time in years. If A0=740 grams is 185.18 years.
To know more about radioactive substances:
https://brainly.com/question/1160651
#SPJ1
185
+50%+4%=start fraction, 185, divided by, 100, end fraction, plus, 50, percent, plus, 4, percent, equals
Answer:
1.85
Step-by-step explanation:
185/100 equals 1.85
if I'm reading the problem correctly this is what we have:
0.54 = 1.85 + 0.54
for the left side to equal the right side you must add 1.85 or 185/100
T/F show that regardless of the testing point used we arrive at the same answer for the direction of a phse plane
True, Regardless of the testing point used we arrive at the same answer for the direction of a phase plane.
We were able to sketch the solution, y(t), in the y-t plane for the single differential equation case and observe actual solutions. Due to the fact that our answers are actually vectors, this would be fairly challenging in this situation.
Here, we're going to plot the points that we represent as the system's solutions as points in the x1x2 plane. Our equilibrium solution will line up with the x1x2 plane's origin, which is also known as the phase plane.
To learn more about phase plane here:
https://brainly.com/question/15276883
#SPJ4
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, s shown below. A: 12, 11, 09, 0.4 C 1.0, 1.5, 1.1, 1.3 B: 2.3, 2.1,1.9, 1.6 D0.8,1.3, 1.1, 0.7 The ressults of the analysis are Sumarized in the following ANOVA table F P-value 1818 1.0606 Neighbarhood Error Total 0001 12 4.3644 (a) (Spt) Fill in the blanks in the ANOVA table. (Show your steps for partial credits (b) (2pt) Bsed on the P-value in the ANOVA, you should rejesct) Hp then conclude thnt (reject or not (c) (2pt) The realtor decided to compare the 4 population mes by using the a multiple comparison procedure. In this case, you prefer to uTukey or Bonferroni) because (d) (1pt) Given the multiple comparison procesdr comparisons that can be made in (c), there are
The solutions are,
(a) 1.1825
(b) 0.0985
(c) Reject the null hypothesis since the test's p-value (0.001) is less than 0.05. One might draw the conclusion that there is evidence of a difference in the mean ratios for the 4 neighborhoods based on the sample data.
Given data,
A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood ;
(a) The within-group sum of squares for this analysis will be
4.3644 - 3.1819 = 1.1825
Hence, within the group sum of squares for this analysis is 1.1825.
(b) There are four groups so df for within groups is 12 so the within-group mean squares for this analysis will be,
[tex]\frac{1.1825}{12}=0.0985[/tex]
(c) Since the p-value of the test (0.001) is less than 0.05, reject the null hypothesis. That is based on sample evidence one can conclude that there is evidence of a difference in the mean ratios for the 4 neighborhoods.
To learn more about mean click here:
brainly.com/question/23631778
#SPJ4
Bob the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 8 who did Plan B. On Tuesday there were 5 clients who did Plan A and 2 who did Plan B. Bob trained his Monday clients for a total of 15 hours and his Tuesday clients for a total of 8 hours. How long does each of the workout plans last?
The number of hours that plan A last is 1 hour and the number of hours that plan B last is 1 1/2 hours.
How long does each workout last?The first step is to form a system of equations using the information in the question:
3a + 8b = 15 equation 1
5a + 2b = 8 equation 2
Where:
a = length of plan A b = length of plan BThe elimination method would be used to determine the required values
In order to determine the value of a, multiply equation 2 by 4
20a + 8b = 32 equation 3
Subtract equation 1 from equation 3 :
17a = 17
Divide both sides of the equation by 17
a = 17/17
a = 1 hour
Substitute for a in equation 1 :
3(1) + 8b = 15
3 + 8b = 15
8b = 15 - 3
8b = 12
b = 12 / 8
b = 1 4/8 = 1 1/2 hours
To learn more about system of equations, please check: https://brainly.com/question/25875552
#SPJ1
Which is called vertex?
A vertex is a point where two or more curves, lines, or edges meet.
In geometry, vertex generally refers to an intersection point or a corner where lines, curves or edges meet. As a consequence of this definition, the point where two lines meet to form an angle called an included angle are considered vertices. Hence, the corners of triangle, polygons and polyhedral are vertices. For example, the lines of square or rectangle intersect at four corners which are called its vertices (which is the plural of vertex). Similarly, the vertex of curve(s) is where they intersect with each other or with its line of symmetry.
Learn more about Vertex:
https://brainly.com/question/15709421
#SPJ4
how many degrees was the figure rotated; rotate the point (-3,-4) around the origin 180 degrees; rotate the point (7 8) around the origin 90 degrees; rotate the point (7 8) around the origin 90 degrees counterclockwise; if you were to rotate abcd 180; rotate the point (-3,-4) around the origin 180 degrees. what is the image of the point?; if you were to rotate abcd 90 degrees counterclockwise; what is the angle of rotation for this counterclockwise rotation about the origin
a) 270° counter clockwise rotation of figure 1
b) The image of point (-3,-4) is (3,4).
c) The new image of point (7,8) is (8,-7) after 90° degree clockwise rotation.
d) The new image of point (7,8) is (-8,7) after 90° degree anticlockwise rotation
e) The fig. abcd will moves to second quardent after 90° counter clockwise rotation.
f) The rotation angle of figure is 270° , in the counterclockwise direction about origin.
A rotation is an isometric transformation that turns every point of a figure through a specified angle and direction about a fixed point.
To describe a rotation, you need three things:
Direction (clockwise or counterclcokwise.
Angle in degreesCenter point of rotationRotations About The Origin90 Degree Rotation:
When rotating a point 90 degrees counterclockwise about the origin of a point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
180 Degree Rotation :
When we rotating a point 180 degrees counterclockwise about the origin a point A(x,y) it becomes A'(-x,-y). So all we do is make both x and y negative.
We have given that,
a) The given figure is rotated aoround 90° clockwise or 270° counter clockwise.
b) A point (-3,-4) is rotated around the origin 180 degrees , then the new point or position after the rotation is (3,4).
c) Rotate the point (7 , 8) around the origin 90 degrees , the new point or image of (7,8) is ( 8,-7).
d) If a point (7,8) is rotate around the origin 90 degrees counterclockwise then new point is (-8,7).
e) If you were to rotate abcd 90 degrees counterclockwise then the image of figures abcd will enter in quadrent 2nd with all coordinate changes.
f) when a figure is rotated in counterclockwise rotation about the origin the angle of rotation is 270 degrees.
To learn more about Rotation of figure, refer:
https://brainly.com/question/27305576
#SPJ4
The T distribution :
A) assumes the population is normally distributed
B) approaches the normal distribution as sample size increase
C) has more area in the tails than normal distribution
D) all the above
According to the T distribution, the correct option is (d) All the above
T distribution:
In statistics, t-distribution is used in all forms of t-tests. Where the T-tests are all classified as inferential statistical tests and will follow all of the same steps required to complete the process of null hypothesis significance testing. And it defines the exact shape of the t-distribution is governed by the degrees of freedom. And the t-distribution is associated with a degrees of freedom equal to the sample size minus a value of 1.
Given,
Here we need to find the correct option according to the T distribution.
As per the given options, the correct answer is best represented by option D. All of the above are correct.
Because, the t-distribution, along with the normal distribution, both assume data is normally distributed in the population.
When the sample size increases towards 30, the t-distribution will resemble the normal distribution, provided the data in the population is normally distributed.
If it is correct to state that the tails of the t-distribution are thicker compared to the normal distribution.
To know more about T distribution here.
https://brainly.com/question/13574945
#SPJ4
A bag has four balls labeled A, B, C, and D. One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter A. If there is more than one element in the set, separate them with commas.
Answer:
B
hope you like it
Does the relationship show a ratio or a rate explain
The relationship shows a ratio.
What is a relationship?
A relation in mathematics describes the connection between two sets of values for ordered pairs. The set of items in the first set are referred to as domain, and they are connected to the set of elements in the second set, referred to as range.
How can one tell whether a relationship is a function?
A function is described as having one and only one output for each input value. In this case, the output values are referred to as the range and the input values as the domain.
In the rate the unit of two variables are different. In the ratio the unit of the variable is the same.
To learn more about ratio, click on below link:
https://brainly.com/question/19596186
#SPJ1
1 out of 35 students is going on a field trip. What is the ratio of the number of students who are staying at school to the number of students who are going on the field trip?
Answer:
35:1 because that is the most likely answer
Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
an= 1-(0.6)^n lim n tends to infinite an=n^3/7n^3+1lim n tends to infinite an=an= 7+2n^2/n+7n^2 lim n tends to infinite an=n^3/5n+8 lim n tends to infinite an= an=e^6/n lim n tends to infinite an= Square root n+5/25n+5 lim n tends to infinite an=n^2 /square root n^3+9n lim n tends to infinite an=
The given series diverges.
Given:
aₙ = n²/√n³+7n
using series divergence test
If limₙ→∞ aₙ ≠0, then ∑ aₙ diverges .
limₙ→∞ (n²/√n³+7n) = limₙ→∞ (n²/√n³(1+7/n²)
= limₙ→∞ (n²/n³/²√1+7/n²)
= limₙ→∞ (√n/√1+7/n²)
= (∞/√1+0)
= ∞
Therefore the series diverges.
Learn more about Divergence here:
brainly.com/question/17177764
#SPJ4
Which of the following is true of protecting classified data?
True statement for Protecting classified data is classified material must be appropriately marked.
Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.
Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.
Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.
To know more about classified data here
https://brainly.com/question/29629794
#SPJ4
64% of all vehicles examined at a certain emissions inspection station pass the inspection. assuming that successive vehicles pass or fail independently of one another, calculate the probability that exactly one of the next three vehicles fail. (give your answer as a decimal number with 3 digits of precision.)
The probability that exactly one of the next three vehicles fail is 0.737 .
Given :
64% of all vehicles examined at a certain emissions inspection station pass the inspection. assuming that successive vehicles pass or fail independently of one another .
probability that exactly one of the next three vehicles fail is :
P = 1 - probability that all of the next three vehicles passes .
= 1 - 64 % * 64 % * 64 %
= 1 - 64/100 - 64/100 - 64/100
= 1 - 0.64 * 0.64 * 0.64
= 1 - 0.4096 * 0.64
= 1 - 0.262
= 0.737
Learn more about the probability here:
https://brainly.com/question/11234923
#SPJ4
Virginia placed 30 marbles in a bag. Seven of the marbles are yellow, 4 marbles are orange, 5 marbles are blue, 8 marbles are green, and 6 marbles are red. Click and drag the letters onto the probability scale to order the likelihood that the event will happen.
The probabilities of each marble is given as follows:
Yellow: 7/30.Orange: 4/30.Blue: 5/30.Green: 8/30.Red: 6/30.Hence the order of the likelihoods, from least to greatest, is given as follows:
Orange, Blue, Red, Yellow, Green.
How to calculate the probabilities?In the context of a problem, a probability is calculated as the division of the number of desired outcomes divided by the number of total outcomes.
There are 30 marbles in this problem, hence the probability of each marble is calculated as the division of the amounts of each marble by 30.
As all the fractions have a denominator of 30, they are ordered from the lowest numerator, as follows:
Orange, Blue, Red, Yellow, Green. (from the numerator of 4 to the numerator of 8).
More can be learned about probabilities at brainly.com/question/14398287
#SPJ1
write a statement that associates s with a set that contains the following elements: 23, 42, -11, 89.
A statement that associates s with a set that contains the following elements: 23, 42, -11, 89 is s = set ( [ 23 , 42 , -11 , 89 ] )
Given :
a statement that associates s with a set that contains the following elements: 23, 42, -11, 89.
Statement :
A statement is an instruction that the Python interpreter can execute.
We have seen two kinds of statements: print and assignment.
When you type a statement on the command line, Python executes it and displays the result, if there is one. The result of a print statement is a value.
we can write :
s = set ( [ 23 , 42 , -11 , 89 ] )
learn more about the set here:
https://brainly.com/question/8053622
#SPJ4
6. The following polygon is a regular octagon with
center O. What is the value of x?
to
Check the picture below.
Cos(75) using cos(a+b)
Answer:
[tex]\sqrt{6}[/tex]/4 – [tex]\sqrt{2}[/tex]/4
Step-by-step explanation:
cos(a + b) = cos (a) cos(b) – sin (a) sin (b)
cos(75) =
cos(45 + 30) = ==> break it down into more solvable angles
cos (45) cos(30) – sin (45) sin (30) =
[tex]\sqrt{2}[/tex]/2 * [tex]\sqrt{3}[/tex]/2 – [tex]\sqrt{2}[/tex]/2 * 1/2 = ==> simplify
([tex]\sqrt{2}[/tex]*[tex]\sqrt{3}[/tex])/(2*2) – ([tex]\sqrt{2}[/tex]*1)/(2*2) =[[tex]\sqrt{6}[/tex]/4 – [tex]\sqrt{2}[/tex]/4]
To learn more about complex trigonometry formulas, click here:
https://brainly.com/question/25830912
Please help!! ASAP!!
Answer:
3
Step-by-step explanation:
Figure A is a dilation of Figure B by a factor of 3
That means that Figure A is 3 times larger than Figure B.
From Figure B to Figure A, the scale factor is 3.
A man jogs 2 miles on Monday. Every day he jogs one-half mile farther. Write an equation for the nth term of the arithmetic sequence.
An equation for the nth term of the arithmetic sequence is 2 + 0.5n.
What is an arithmetic sequence?
An arithmetic sequence is a set of integers where each term (except the first) is created by adding a fixed amount to the term before it.
Given, initial distance = 2 miles
Let n be each day on which he jogs one-half (1/2 = 0.5) mile.
Then, according to the question,
nth term = 2 + 0.5n
Hence, an equation for the nth term of the arithmetic sequence is 2 + 0.5n.
To learn more about an arithmetic sequence
https://brainly.com/question/6561461
#SPJ1
Between 11 p.m. and midnight on Thursday night, Mystery Pizza gets an average of 4.2 telephone orders per hour. (a) Find the median waiting time until the next telephone order. (b) Find the upper quartile of waiting time before the next telephone order. (c) What is the upper 10 percent of waiting time until the next telephone order? Show all calculations clearly.
a) The median waiting time until the next telephone order is of: 2.91 minutes.
b) The upper quartile of waiting time before the next telephone order is of: 5.82 minutes.
c) The upper 10% of waiting time until the next telephone order is of: 9.67 minutes.
What is the exponential distribution?The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The mean for this problem is of:
m = 4.2.
Hence the decay parameter is of:
[tex]\mu = \frac{1}{4.2} = 0.2381[/tex]
The mass function is then given as follows:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
Hence:
[tex]P(X \leq x) = 1 - e^{-0.2381x}[/tex]
The median time is the value of x for which P(X < x) = 0.5, hence:
[tex]0.5 = 1 - e^{-0.2381x}[/tex]
[tex]e^{-0.2381x} = 0.5[/tex]
[tex]\ln{e^{-0.2381x}} = \ln{0.5}[/tex]
-0.2381x = ln(0.5)
x = -ln(0.5)/0.2381
x = 2.91 minutes.
The upper quartile is the value of x for which P(X < x) = 0.75, hence:
[tex]0.75 = 1 - e^{-0.2381x}[/tex]
[tex]e^{-0.2381x} = 0.25[/tex]
[tex]\ln{e^{-0.2381x}} = \ln{0.25}[/tex]
-0.2381x = ln(0.25)
x = -ln(0.25)/0.2381
x = 5.82 minutes.
The upper 10% is the value of x for which P(X < x) = 0.9, hence:
[tex]0.9 = 1 - e^{-0.2381x}[/tex]
[tex]e^{-0.2381x} = 0.1[/tex]
[tex]\ln{e^{-0.2381x}} = \ln{0.1}[/tex]
-0.2381x = ln(0.1)
x = -ln(0.1)/0.2381
x = 9.67 minutes.
More can be learned about the exponential distribution at https://brainly.com/question/14634921
#SPJ1
Lee Associates borrowed $60,000. The company plans to set up a sinking fund that will pay back the loan at the end of 12 years. Assuming a rate of 8% compounded semiannually, the amount to be paid into the fund each period is):
Multiple Choice
$1,350
$1,535.21
$1,653
$5,163
The required amount to be paid into the fund each period is $1535.21. which the correct answer would be option (B).
Lee Associates borrowed $60,000 in total. The corporation intends to establish a sinking fund to repay the debt after 12 years.
Assuming a semiannual compounding rate of 8%,
As per the given information, the required solution would be as:
Amount to be paid into the fund each semi-annual period will be
= Loan Amount/((1+r/2)²ⁿ⁻¹)/(r/2))
= 60000/(((1+8%/2)²ˣ¹²⁻¹)/(8%/2))
= $1535.21
Thus, the required amount to be paid into the fund each period is $1535.21.
Hence, the correct answer would be an option (B).
To learn more about Compound interest click here:
brainly.com/question/25857212
#SPJ1
what is the probability of getting a number less than 3 and a tails?; latricia determines that the probability; which value cannot represent the probability of an event occurring?; eitan and asher are playing a game; keyless entry door lock; electric door lock; best door locks; automatic door locks
The probability of getting a tails and a number less than 3 is equal to 1/6.
As given in the question,
Probability of getting heads or tail is:
P (H) = P(T) = 1/2
The probability of getting any number on the die is:
P (1) = P (2) = P(3) = P (4) = P (5) = P (6) = 1/6
The probability of getting a tail on the coin and a number less than 3 on the die is:
P(tails and a number less than 3) = P(tails) x P( a number less than 3)
= 1/2 x [P(1) +P(2)]
= 1/2 x [1/6 +1/6]
= 1/6.
Therefore ,the required probability of getting tails and a number less than 3 is equal to 1/6.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
the dog days clothing company receives 630 cases of imported zippers every 18 days. the number of cases of zippers on inventory t days after the shipment arrives is n(t)
The average daily inventory is 253 cases
In this question, we have been given we have been given the number of cases of zippers on inventory t days after the shipment arrives is
N(t) = 630 − 30√18t
We need to find the average daily inventory.
We use the definite integral to compute for the average value over that interval from a to b.
(∫[a_b] f(x) dx )/ (b - a)
Here, a = 1 and b = 18
so, the average daily inventory would be,
∫[18_1] N(t)dt / (18 - 1)
= ∫[18_1] (630 − 30√18t) dt / 17
= 4314.85 / 17
= 253.81
= 253
Therefore, the average daily inventory = 253 cases
Learn more about the definite integral here:
https://brainly.com/question/29685762
#SPJ4
The complete question is:
the dog days clothing company receives 630 cases of imported zippers every 18 days. the number of cases of zippers on inventory t days after the shipment arrives is N(t) = 630 − 30√18t. Find the average daily inventory.
Will Give Brainliest if Answered Correctly look at picture
The additional jump in inches that John must make to beat the record is
5 1/4 inches
How to find the height in inches required to break the recordThe problem is solved by converting the given dimensions in ft to inches
conversion to inches is solved using
12 inches = 1 ft
The record jump is
= 23 feet 1 3/4 in
= 23 * 12 + 1 3/4 in
= 276 + 1 3/4
= 277.75 in
John's best long jump
= 22 ft 8 1/2 in
= 22 * 12 + 8 1/2 in
= 264 + 8 1/2
= 272.5 in
John's additional jump
= record jump - John's best long jump
= 277.75 - 272.5
= 5.25 in
= 5 1/4 in
Learn more about conversion of units at:
https://brainly.com/question/141163
#SPJ1
Write 7 as the ratio of two integers.(Enter a ratio in fraction form.)
Answer:
14/2
Step-by-step explanation:
We can write 7 as 7/1
Multiply the top and bottom by 2/2
7/1 * 2/2 = 14/2
We could multiply by any number over itself
7/1 * 3/3 = 21/3
This is an equivalent fraction
Answer:
See below
Step-by-step explanation:
Examples ( choose one)
14/2
7/1
21/3
98/14
