Answer:
24
Step-by-step explanation:
Let x be shirts.
Write an equation.
13x=321
Divide 13 from both sides.
x≈24.69
So, the soccer team can only buy 24 shirts, because it cannot go over the budget.
Hope this helps!
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You put $800 in a savings account. The account earns 4% simple interest per year.
a. What is the interest earned after 5 years?
The interest earned is $__ after 5 years.
b. What is the balance after 5 years?
The balance is $__ after 5 years.
Answer:
A. 160
B. 960
Step-by-step explanation:
The interest earned after 5 years is the balance - the initial balance: 160
The balance is 800 * (1 + .04*5): 960
The standard deviation of win percentage for the 32 teams in the NBA in 2005 - 2006 was 0.134. The NBA plays an 82 game season. The standard deviation of win percentage for the 20 teams in the English Premier League in 2005 - 2006 was 0.158. The EPL plays a 38 game season., which league exhibits more competitive balance
The NBA league exhibits more competitive balance.
The chance that each team in a league has of winning the title is referred to as competitive balance. The championship would be won by each team on a regular basis in an ideal competitive environment. In contrast, if there was no balance between the two types of competition, the same team would consistently prevail.
Competitive balance is often regarded as a desirable trait because too much predictability makes fans of the lesser franchises angry and fans of the defending champions complacent, which lowers interest in the sport as a whole.
The "Noll-Scully" measure is the competitive balancing metric that is most frequently used in sports. The winning percentage of each league team's standard deviation (SD) is used to compute it. The SD is then divided by what it would be if all teams had equal talent and the outcomes were entirely random.
For NBA team, competitive balance = 0.134/32*82 = 0.343
For EPL team, competitive balance = 0.158/20*38 = 0.30
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Find the values of the sine, cosine, and tangent for
I NEED HELP ASAP ON NUMBER 7 and 8
Select the correct answer from each drop-down menu.
157
The expression above can also be written in the form ac.
Answer:
For this expression:
a=15 , b=7 and c=4
Step-by-step explanation:
We are asked to find the value of a,b and c by representing the given expression:
in the form of:
where a is the base and b is the numerator of the exponent and c is the denominator of the exponent.
We know that the expression of the type:
is also written as:
Hence, we get our expression as:
Hence, we have:
a=15, b=7 and c=4
a=15 , b=7 and c=4
Step-by-step explanation:
Just had this on a test!
Answer: a=15 b=7 c=4
Step-by-step explanation:
Good
What is the value of the expression?
-8 + 7
write the equation in standard form of a line that passes through the point (4,-2) and has a slope of -1
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{- 1}(x-\stackrel{x_1}{4}) \implies y +2 = - 1 ( x -4) \\\\\\ y+2=-x+4\implies y=-x+2\implies {\Large \begin{array}{llll} x+y=2 \end{array}}\)
What is the probability that in a randomly selected game, the first goal is scored in less than 4 minutes?
Based on the characteristics of the distribution, the probability that the first goal is scored in less than 4 minutes is 0.
What is the probability?For us to be able to calculate the probability that the first goal is scored in less than 4 minutes, the distribution needs to satisfy the requirements of the Central Limit Theorem(CLT).
Based on the fact that the distribution here is extremely right skewed, then it does not satisfy the requirements of CLT so the probability is 0.
First part of question:
The distribution of the time it takes for the first goal to be scored in a hockey game is known to be extremely right skewed with population mean 12 minutes and population standard deviation 8 minutes.
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Jackson had $53 in his account. He bought a video game. He now has -$12 in his
account. How much was the video game?
Answer:
$65
Step-by-step explanation:
Add 53 and 12 together to see how much it costed.
BUILDING BASIC SKILLS ANDVOCABULARY 1. Name each level of measurement for which data can be qualitative. 2. Name each level of measurement for shich data can be quantitative. True or False? In Exercises 3-6 dctermine whehher the statement is the or faise. If it is false, rewrite it ar a true statcmont. 3. Data at the ordinal level are quantitative orly. 4. For data at the interval level, you cannot calculate meaningful differences between data entries. 5. More types of calculations can be performed with data at the nominal level than with data at the interval lovel. 6. Data at the ratio level cannot be put in order. USING AND INTERPRETING CONCEPTS Classifying Data by Type In Evercises 7-14, determine whother the data are qualitative or quantitative, Explain your reasoning. 7. Heights of hot air balloons 8. Carrying capacities of pickups 9. Eye colors of models 10. Studeat ID numbers 11. Weights of infants at a hospital 12. Species of trees in a forest 13. Responses on an opinion poll 14. Wait times at a grocery store Classifying Data By Level In Exerciter 15−20, detemint the level of measurement of the data set. Explain your reasoning. 15. Comedy Series The years that a telcvision show on ABC woa the Emmy for best comedy series are listed. (Soarce Acceleny of Teievision Ans and Scienters) 16. Business Schools The top five business schools in tho United States for a recent year according to Forbes are listed. (Source. Forbei) 1. Harvard 2. Stanford 3. Chicago (Booth) 4. Pennsylvania (Whartoa) 5. Columbià
The levels of measurement for which data can be qualitative are: nominal and ordinal.
The levels of measurement for which data can be quantitative are: interval and ratio.
True or False:
3. False. Data at the ordinal level can be qualitative or quantitative.
False. For data at the interval level, meaningful differences can be calculated between data entries.
False. More types of calculations can be performed with data at the interval level than with data at the nominal level.
False. Data at the ratio level can be put in order.
Classifying Data by Type:
7. Quantitative - Heights of hot air balloons (measurable quantities).
Quantitative - Carrying capacities of pickups (measurable quantities).
Qualitative - Eye colors of models (distinct categories).
Qualitative - Student ID numbers (distinct identifiers).
Quantitative - Weights of infants at a hospital (measurable quantities).
Qualitative - Species of trees in a forest (distinct categories).
Qualitative - Responses on an opinion poll (distinct categories).
Quantitative - Wait times at a grocery store (measurable quantities).
Classifying Data By Level:
15. Nominal level - The years represent distinct categories with no inherent order.
Nominal level - The list of business schools represents distinct categories with no inherent order.
The levels of measurement for which data can be qualitative are:
Nominal: Data that can be categorized into distinct groups or categories, where there is no inherent order or ranking between the categories. Examples: eye color, gender, race.
The levels of measurement for which data can be quantitative are:
Interval: Data that can be measured on a scale with equal intervals between values, but without a meaningful zero point. Examples: temperature in Celsius or Fahrenheit, IQ scores.
Ratio: Data that can be measured on a scale with equal intervals between values and a meaningful zero point, where zero represents the absence of the quantity being measured. Examples: height, weight, age.
True or False:
3. False. Data at the ordinal level can be qualitative or quantitative. Ordinal data has a natural order or ranking, but the differences between values may not be equal or meaningful. Examples: ranking in a competition, Likert scale responses.
False. For data at the interval level, meaningful differences can be calculated between data entries. However, there is no meaningful zero point on the scale. Examples: temperature differences, SAT scores.
False. More types of calculations can be performed with data at the interval level than with data at the nominal level. Interval data allows for calculations such as differences and averages, whereas nominal data only allows for counting and frequency calculations.
False. Data at the ratio level can be put in order. In fact, data at the ratio level possess all the characteristics of interval data, with the addition of a meaningful zero point.
Classifying Data by Type:
7. Quantitative - Heights of hot air balloons (measurable quantities).
Quantitative - Carrying capacities of pickups (measurable quantities).
Qualitative - Eye colors of models (distinct categories).
Qualitative - Student ID numbers (distinct identifiers).
Quantitative - Weights of infants at a hospital (measurable quantities).
Qualitative - Species of trees in a forest (distinct categories).
Qualitative - Responses on an opinion poll (distinct categories).
Quantitative - Wait times at a grocery store (measurable quantities).
Classifying Data By Level:
15. Nominal level. The years are simply distinct categories and do not have an inherent order or meaningful numerical value.
Nominal level. The list of business schools represents distinct categories and does not have an inherent order or meaningful numerical value.
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Complete the square.
3x^2-12x=96
Answer:
x = 8 and -4
Step-by-step explanation:
3x² - 12x = 96
3(x² - 4x + 4 = 32 + 4)
3[(x - 2)² = 6²]
x - 2 = +/- 6
x = 8
x = -4
What is the y-intercept of y=-x+5?
Answer:
5
Step-by-step explanation:
y= mx+b
with m being slope and b being y-intercept
Answer:
5
Step-by-step explanation:
y=mx+b
b=5
Determine the amplitude of the function y = negative one-half cosine x. On a coordinate plane, a function curves up from (0, negative 0.5) through (1.5, 0) to (3, 0.5). a. -1 c. One-half b. -Negative one-half d. 2
Step-by-step explanation:
The amplitude is the value that the cosine is being multiplied by.
The general equation of a sinusoid is
\( a \cos(b(x + c) ) + d\)
where a is the amplitude
\( \frac{2\pi}{ |b| } \)
is the period
-c is the phase shift
d is the midline(vertical shift)
Here the amplitude is -1/2 so b is the correct answer.
Answer:
the amplitude of the function that is y= -1/2 cos x, is 1/2.
Step-by-step explanation:
What is the solution for the system shown below?
Answer:
Step-by-step explanation:
the solution to the pair is (5,2)
Simplify fully 12 ( x − 5 ) 2 + 4 ( x − 5 )
Answer:
\( \sf \: 28x−140\)
Step-by-step explanation:
12(x−5)(2)+4(x−5)
Distribute:
=24x+−120+(4)(x)+(4)(−5)
=24x+−120+4x+−20
Combine Like Terms:
=24x+−120+4x+−20
=(24x+4x)+(−120+−20)
=28x+−140
What is 4 – 12? −16 −8 8 16
please help
Answer: -8
Step-by-step explanation:
It takes 3 km of the red to make five boxes of shirts how many kilometers of thread will it take to make three boxes
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)^2= 19
The solutions to the equation (3x - 5)²= 19 are: - \(\frac{\sqrt{19} + 5}{3}\) and \(\frac{\sqrt{19} + 5}{3}\) .
What is an equation?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.
In this question we have been given an equation that is (3x - 5)²= 19
Now taking square root both sides
(3x - 5)² = 19
3x - 5 = ± \(\sqrt{19}\)
Add 5 to both sides to make equation simpler
3x = ± \(\sqrt{19}\)+ 5
Divide both sides by 3
x = ±\(\frac{\sqrt{19} + 5}{3}\)
Now separating the solutions we get
x = \(\frac{\sqrt{19} + 5}{3}\) .
x = - \(\frac{\sqrt{19} + 5}{3}\) .
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Choose the correct graph to match the function. f(x) = -x4 + 3x2 – 2x – 2
Answer:
The answer is C. I suggest using desmos online graphing calculator if that is an option for you
M is less than angleAOC = 108 degrees m is less than angle AOB = 3x + 4 degrees m is less than angle BOC = 8x - 28 degrees Find m is less than angle AOB
Answer: angleAOB = 40°
Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:
angleAOC = angleAOB + angleBOC
108 = 3x + 4 + 8x - 28
108 + 24 = 11x
11x = 132
x = 12
Knowing x, to find angleAOB, just substitute and calculate:
angleAOB = 3x+4
angleAOB = 3.12 + 4
angleAOB = 40°
The angle AOB is 40°.
Brody is older than Nathan. Their ages are consecutive odd integers. Find Brody's age if the sum of Brody's age and 5 times Nathan's age is 80.
Based on the information given, Brody is older than Nathan, then;
Brody's age is 15 years.
What are algebraic expressions?Algebraic expressions are expressions comprising of variables, terms, factors, constants, and coefficients.
They are also made up of mathematical operations like addition, subtraction, multiplication, parenthesis, bracket, division, etc
From the information given, we have that
Nathan's age = xBrody's age = x + 2It is represented thus;
5x + x + 2 = 80
collect like terms
6x = 80 - 2
Subtract like terms
6x = 78
Make 'x' the subject of formula
Divide both sides by 6
x = 78/6
x = 13
But we have that;
Brody's age = x + 2
Substitute the value of x
Brody's age = 13 + 2
Brody's age = 15 years
Thus, Brody's age is 15 years.
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Please help me out!
Lorenzo is building a bookshelf. He wants the bookshelf to be 1.5 feet taller than 1/4 the height of his plant stand. If p equals the height of Lorenzo's plant stand, which expression represents the height of the bookshelf?
A. 4p + 1.5
B. 1/4 + 1.5 p
C. p/4 + 1.5
D. 4/p + 1.5
Answer:
C
Step-by-step explanation:
1/4p(1/4of the plant stand) +1.5(1.5f taller than)
If f(x) = 2x2 − 30, find f(4).
a. 35
b. −14
c. 2
d. 17
Answer:
2
Step-by-step explanation:
i took the test
This table shows how many male and female students attended two different
movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
A. 0.11
OB. 0.23
OC. 0.48
D. 0.43
Male
Female
Total
Action
105
99
204
Drama Total
124
229
151
250
275
479
The table represents the number of male and female students who attended two separate action camps. Let us analyze the table given below: Male Female Camp A7035Camp B3050Total10085The table indicates that there were 100 students in total who attended two different camps.
70 of these students were males who participated in camp A and 30 were males who participated in camp B. There were 35 females who participated in camp A and 50 females who participated in camp B.Camp A saw a total of 105 participants, 70 of which were male and 35 of which were female. Meanwhile, Camp B saw a total of 80 participants, 30 of which were male and 50 of which were female.The table thus highlights the gender-wise distribution of the participants in these two camps.For such more question on attended
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The probability of choosing a male from the given group is 0.43(D).
Explanation:To find the probability of choosing a male from the group, we divide the number of males by the total number of people.
Probability (Male) = (Number of Males) / (Total Number of People)
In this case:
Number of Males = 204 (from the "Male" column)
Total Number of People = 479 (the sum of the "Total" row)
So the probability of choosing a male is:
P(male) = 204 / 479 = 0.43 (rounded to two decimal places)
Therefore, the correct answer is (D). 0.43.
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2. Supposed the prevalence of Sudden infant death syndrome (SIDS) is 0.01%. At a local Maternity hospital 3 of the 100 newborn infants died of SIDS following birth. a. What is the probability of 3 dying of SIDS in this situation? b. In this situation would you find it alarming that this many died or would this be expected. Why or why not? (write 1-3 sentences explaining
The probability of 3 dying of SIDS in this situation is approximately 0.000227. The number of SIDS cases in this hospital is significantly higher than the expected rate.
a. The probability of 3 infants dying of SIDS in this situation can be calculated using the binomial probability formula:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) is the probability of k successes (SIDS cases) in n trials (infants),
C(n,k) is the number of combinations of n items taken k at a time,
p is the probability of SIDS (0.0001),
n = 100 infants,
k = 3 SIDS cases.
P(3 SIDS cases in 100 infants) = C(100,3) * (0.0001)^3 * (1-0.0001)^(100-3)
After calculating, the probability is approximately 0.000227.
b. In this situation, it is alarming that many infants died of SIDS, as the probability of 3 deaths in 100 infants is very low (0.000227), much lower than the prevalence of 0.01%. This indicates that the number of SIDS cases in this hospital is significantly higher than the expected rate.
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first interpret the slope. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
An essential concept in mathematics and can be applied to a variety of fields such as physics, economics, and engineering.
The slope of a line in a Cartesian plane is a numerical representation of its steepness and inclination relative to the x-axis.
The slope of a straight line refers to the rise or fall of the y-coordinate as it moves from left to right along the x-axis.
There are a few different ways to interpret the slope of a line, but generally it can be thought of as the rate at which the dependent variable changes with respect to the independent variable.
When the slope is positive, the line rises from left to right, indicating that the dependent variable is increasing as the independent variable increases.
In other words, there is a direct relationship between the two variables.
Conversely, when the slope is negative, the line falls from left to right, indicating that the dependent variable is decreasing as the independent variable increases.
This means that there is an inverse relationship between the two variables.
The magnitude of the slope can also provide information about the relationship between the variables.
If the slope is close to zero, then the relationship between the two variables is weak or nonexistent.
However, if the slope is large in magnitude (i.e. close to 1 or -1), then there is a strong relationship between the variables.
A slope of zero indicates that there is no change in the dependent variable as the independent variable changes, while a slope of undefined means that the line is vertical and has no slope.
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Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Write an inequality that represents the values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank and solve.
please help me!! this is due very soon
Answer:
Step-by-step explanation:
The required inequality x + m ≤ 510, and the distance is 316 miles.
What is inequality?Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.
Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.
Let,
x miles = distance already traveled
m miles = distance miles can travel with remaining gas
510 = max. miles can travel on a full tank
As per the given question,
The inequality will be written as,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
Apply the subtraction operation, and we get
m ≤ 316
Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.
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33. DF bisects ZEDG. Find the value of x. The diagram is not to scale.
From the given diagram, we can identify two right-angled triangles. The triangles are shown below:
Using trigonometric ratios, we can find x as follows
\(\begin{gathered} \sin 28^0\text{ = }\frac{7x\text{ + 15}}{DF} \\ \sin 28^0\text{ = }\frac{10x}{DF} \end{gathered}\)We can equate the expressions for DF as follows:
\(\begin{gathered} DF\text{ = }\frac{7x\text{ + 15}}{\sin 28^0} \\ DF\text{ = }\frac{10x}{\sin 28^0} \end{gathered}\)\(\begin{gathered} \frac{7x\text{ + 15}}{\sin28^0}\text{ = }\frac{10x}{\sin 28^0} \\ \text{Cancelling out sin 28}^0 \\ 7x\text{ + 15 = 10x} \end{gathered}\)Solving for x:
\(\begin{gathered} 7x\text{ - 10x = -15} \\ -3x\text{ = -15} \\ \text{Divide both sides by -3} \\ \frac{-3x}{-3}\text{ = }\frac{-15}{-3} \\ x\text{ = 5} \end{gathered}\)Answer:
x = 5
Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answer:
Step-by-step explanation:
700.5
player a has a 50 sided die, player b as a 40 sided die. whoever gets the higher roll wins with the tie going to player a. what's the probability that player a wins?
The probability that player a wins is approximately 0.189 or 18.9%.
Probability of Winning DiceThe probability of Player A winning can be calculated by adding the probability of both players rolling different values and Player A getting a higher value, as well as the probability of both players rolling the same value (in which case Player A wins by default).
To calculate the probability of both players rolling different values and Player A getting a higher value, we can calculate the probability of each possible combination of rolls and sum them up. There are a total of 50 * 40 = 2000 possible combinations of rolls. Out of these, 50 of them result in Player A rolling the highest value, and 400 result in Player B rolling the highest value. Therefore, the probability of Player A winning in this scenario is 50 / (50 + 400) = 50 / 450 = 1/9.
The probability of both players rolling the same value can be calculated as the minimum of the number of sides of the two dice, which is 40, divided by the maximum number of sides, which is 50. Therefore, the probability of both players rolling the same value is 40/50 = 8/10.
Finally, the overall probability of Player A winning can be calculated as the sum of the above two probabilities:
P(Player A wins) = P(different values and Player A higher) + P(same values)
= 1/9 + 8/10
= 17/90
= approximately 0.189 or 18.9%.
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