HELP AND EXPLAIN
At a family reunion, family members are given a choice of swimming at the lake or going on a hike. The family
constructed the following frequency table to analyze the data.
Lake
Hike
Total
Children
6
Adults
9
Total
14
38
15
What does the relative frequency of represent in the situation?
X
Out of all the children, 15 prefer the lake.
Out of all the children, 15 prefer a hike.
Out of all the family members that prefer a Mike, 15 are children.
Out of all the family members that prefer the lake, 15 are children.
Answers
The relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). (subgroup being group defined by a row, or a column)
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]
List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
The given two-way frequency table is:
Lake Hike Total
Children 6
Adults 9
Total 14 38
Total of hike subgroup is 14, out of which children are 6, so adults going for hiking must be 14 - 6 = 8 as adults and children going for hiking together are 14 in counts.
So, we get:
n(Hike ∩ Children) = 8
Thus, the total of subgroup Adults is 9+8=17 = n(Adults)
Total of vertical total columns is: n(Children) + n(Adults) = 38
or, we get: n(Children) = 38 - 17= 21
Since total of children subgroup is:
n(Lake ∩ Children) + n(Hike ∩ Children) = n(Children)
Thus, we get:
n(Lake ∩ Children) + 6 = 21
n(Lake ∩ Children) = 21-6 = 15
Thus, sum of the 'lake' subgroup is:
n(Lake) = n( Lake ∩ Children) + n(Lake ∩ Adults)
n(Lake) = 15 + 9 = 24
Thus, the completed two-way table is:
Lake Hike Total
Children 15 6 21
Adults 9 8 17
Total 24 14 38
Now, we've to find what does 15/24 represents.
The division is done by 24, which is the total of "lake" subgroup.
And in that lake subgroup, we have:
n(Lake ∩ Children) = 15
Thus, 15/24 is the relative frequency of those children who prefer the lake, relative to total number of people who prefer lake.
Thus, the relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.
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Related Questions
Members of a baseball team raised $1386.50 to go to a tournament. They rented a bus for $1137.50 and budgeted $20.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answers
Answer:
12 players
Step-by-step explanation:
the team started off with $1386.50
subtract $1137.50 for the rented bus
[tex]1386.50 - 1137.50 = 249[/tex]
the team has $249 left for the meals and a meal costs $20.75 for each player.
249 ÷ 20.75 = 12
the team can bring 12 players to the tournament.
What is the value of the expression 25 ÷ 5 + (6 x 2) − 4? (2 points) 12 9 7 13
Answers
Answer:
13
Step-by-step explanation:
you use the system of equations...
:)
Select all of the expressions that are equivalent to 4x - 5 +6. (Select all that apply.)
A. 4x+ (-5)+(6)
B. 4x - 6+5
C. 4x + 1
D. 5+6 - 4x
Answers
I'm pretty sure it's A and D, sorry if I'm wrong
Have a nice day!
Answer:
c and d
Step-by-step explanation:
5+6 - 4x is just 4x - 5 +6 but flipped
4x + 1 is the answer to 4x - 5 +6
A. -25
B. 15
C. 25
D. 40
E. 65
Answers
Answer:
E.65
Step-by-step explanation:
Identify the slope and y-intercept of each of the following lines. Then graph each line.
y + 3 = 2 (x + 4)
Answers
Answer:
Below!
Step-by-step explanation:
1. Determining the y-intercept of the line:
The provided equation is in point slope form. To determine the slope and the y-intercept, we need to convert the equation to slope intercept form. Once it is converted to slope intercept form, the constant will be the y-intercept of the line. Start out by simplifying the distributive property on the R.H.S.
[tex]\implies y + 3 = 2 (x + 4)[/tex]
[tex]\implies y + 3 = (2x + 8)[/tex]
Now, open the parenthesis on the R.H.S
[tex]\implies y + 3 = 2x + 8[/tex]
If we take a look at the formula of slope intercept form (y = mx + b), we can see that "y" is isolated on the L.H.S. Thus, we need to subtract 3 both sides to isolate the y-variable.
[tex]\implies y + 3 - 3 = 2x + 8 - 3[/tex]
[tex]\implies y = 2x + 5[/tex]
We can see that the only constant in the equation is 5.
Therefore, 5 is the y-intercept.
2. Determining the slope of the line:
To determine the slope of the line, let's compare the formula with the equation obtained.
[tex]\implies (y = 2x + 5) \ = \ (y = mx + b)[/tex]
Thus, we obtain the following:
y = y2 = m (Slope)x = x 5 = b (Y-intercept)Thus, 2 is the slope of the line.
3. Plotting the line on the coordinate plane:
To graph the line on a coordinate plane, plot the y-intercept on the graph. The y-intercept is ALWAYS plotted on the y-axis.
Thus, the y-intercept plotted on graph is (0, 5).
Furthermore, plot a second point on the graph to draw a straight line through those points.
Determining the second point of the line:
If the slope of the line is 2, it means that the run (x) is 1 and the rise (y) is 2. Thus, we can add 1 to the x-coordinate of the y-intercept and 2 to the y-coordinate of the y-intercept.
⇒ (0, 5) ⇒ x = 0; y = 5 ⇒ Second point: x = 0 + 1; y = 5 + 2⇒ Second point: x = 1; y = 7⇒ Second point: (1, 7)Then, plot these points on the coordinate plane. Keep in mind that plot the x coordinate first, then the y-coordinate next. Once the coordinates are plotted, draw a line from the x-coordinate and another line from the y-coordinate. Finally, use your ruler and draw a line that passes through those two points. Your obtained graph is the graph of the line.
Comapre to slope intercept form y=mx+b
Slope=m=2Y intercept=b=5HELP PLEASE
A parking lot charges $7 per day to park on weekdays and $12 per day on weekends.
Jamal parked his car in this lot on 6 days last week and spent a total of $52. How many
weekdays and weekend days did Jamal park?
Answers
Answer:
4 weekdays and 2 weekends.
Step-by-step explanation:
6 days.
x = weekdays
y = weekends
7x = amount with weekdays
12y = amount with weekends
7x + 12y = 52, total
x + y = 6, amount of days
solve double variable equation
x = 6 - y, plug in to 1st equation
7(6 - y) + 12y = 52
42 - 7y + 12y = 52
5y = 10
y = 2 weekends
2 + x = 6
x = 4 weekdays
i need some help on who worked the fastest
Answers
Answer:
B. Kevin
Step-by-step explanation:
First off, great job on answering the rest! Kevin worked the fastest because he has the lowest time spent per flyer. This means that for every flyer he spent time working on, he would complete it faster than Bill or Dante. This can also be estimated from the table given because although kevin only made 6, he spent only 24 minutes while Bill spent 56 minutes and only made 8. The smaller minutes spent in comparison to the amount of flyers made shows that Kevin is the fastest.
Which of 2/5 or 5/8
is closer in value to 1/2?
Answers
Answer:
Step-by-step explanation:
Im so lost what the answer is
Answers
Answer:
Unfortunately, we can't do anything with 41 as it has no factors. Since [tex]3\sqrt{41}[/tex] is already simplified, try submitting that as your answer. If that doesn't work then try un-doing their steps and get rid of the 3:
[tex]3\sqrt{41}[/tex]
[tex]\sqrt{41(9)}[/tex]
[tex]\sqrt{369}[/tex]
Hope this helps!
the first term in this number pattern is 7.
7,12,10,15,13,..
what is the eighth term in this pattern
Answers
Answer:
21
Step-by-step explanation:
The pattern goes +5 , -2
From 7 you add 5, and than from 12 you minus 2. If you keep this up you get the following numbers.
7,12,10,15,13,18,16,21,19,24,22,27,25,30...ect
21 is the 8th term in the patterns so thats your answer.
The eighth term in the given number pattern is 21. This is obtained by the logic, of adding 5 and subtracting 2.
Number pattern:These keep a relationship between a series of numbers. That relationship is given by logic.
Some of the examples are like Even number pattern, Odd number pattern, Fibonacci series, etc.
Calculating the 8th term in the given pattern:Given that the number pattern is 7,12,10,15,13....
In this pattern 7 is the first term
So, the logic is adding 5 and subtracting 2
7+5=12 (2nd term)
12-2=10 (third term)
10+5=15 (fourth term)
15-2=13 (fifth term)
13+5=18 (sixth term)
18-2=16 (seventh term)
16+5=21 (eighth term)
Therefore, the eighth term is 21.
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what equals 5 in multiplication and -4 in addition
Answers
Answer:
-2 +i-2 -iStep-by-step explanation:
There is no pair of real numbers that have a total of -4 and a product of 5. The complex numbers (-2+i) and (-2-i) will meet your requirements.
__
If the numbers of interest are 'a' and 'b', they will be zeros of the quadratic whose factored form is ...
(x -a)(x -b) = 0
Expanding that, we find an opportunity to use the given sum and product numbers:
x² -(a+b)x +ab = 0
x² -(-4)x +5 = 0
Rewriting this in vertex form gives ...
(x² +4x +4) +1 = 0
(x +2)² +1 = 0
We can find the values of x by subtracting 1 and taking the square root.
(x +2)² = -1
x +2 = ±√(-1) = ±i
x = -2±i
The two numbers of interest are -2+i and -2-i.
Chloe lives in an area where she runs the air conditioner during the 4 hottest months of the year. the air conditioner runs for 7 hours per day at a cost of 21 cents per hour. how much does she spend per year on utility bills for the air conditioner?(assume there are 30 days in each month) a. $705.60 b. $588.00 c. $216.09 d. $176.40 please select the best answer from the choices provided a b c d
Answers
The amount of money she spends per year on utility bills for the air conditioner is; D: $176.40
How to solve algebra word problems?We are told that;
Cost of running the air conditioner = 7 hours per day
Cost of running the air conditioner = 21 cents per hour = $0.21 per hr.
She runs it for four months at 7 hours per day. Thus;
Total number of hours for the 4 months = 7 × 30 × 4 = 840 hours
Total cost for the 4 months = $0.21 per hr. × 840 hours = $176.4
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Which expression represents the volume of the prism, in cubic centimeters? 9x2 7x 14x2 7x 16x2 14x 28x2 14x
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer: b
Step-by-step explanation:
Hey guys! 5th grade math! Does someone think they can help me out with this? offering 20 points for both of these!
Answers
Answer:
3 and 8.
9 and 2/6.
Sorry if im wrong I havent been in 5th grade in along time.
Answer:
1. Is D. 3 and 8
2. is B 9 2/6
Step-by-step explanation:
30 POINTS NEED HELP ASAP IN CLASS HURRY!!
Answers
Answer:
5. -6/4
6. 1/2
7. 12/15
8. -21/8
Step-by-step explanation:
Steps are in picture
Answer:
Step-by-step explanation:
Fraction division:
Use KCF method
K - Keep the first fraction
C - Change division to multiplcation
F - Flip the second fraction
[tex]5) \dfrac{-6}{11} \div \dfrac{4}{11}=\dfrac{-6}{11}*\dfrac{11}{4}[/tex]
[tex]= \dfrac{-3}{2}\\\\= -1\dfrac{1}{2}[/tex]
[tex]6) 1\dfrac{1}{6} \div 2\dfrac{1}{3}=\dfrac{7}{6} \div \dfrac{7}{3}[/tex]
[tex]= \dfrac{7}{6}*\dfrac{3}{7}\\\\= \dfrac{1}{2}[/tex]
[tex]7) -4\dfrac{1}{5} \div -1\dfrac{3}{4}=\dfrac{-21}{5} \div \dfrac{-7}{4}[/tex]
[tex]=\dfrac{-21}{5}*\dfrac{4}{-7}\\\\= \dfrac{3}{5}*\dfrac{4}{1}\\\\=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]
[tex]8) -6\dfrac{1}{8} \div \dfrac{7}{3}=\dfrac{-49}{8} \div \dfrac{7}{3}[/tex]
[tex]= \dfrac{-49}{8}*\dfrac{3}{7}\\\\= \dfrac{-7}{8}*\dfrac{3}{1}\\\\=\dfrac{-21}{8}\\\\=-2\dfrac{5}{8}[/tex]
Can I have help on this? I will award brainliest for the correct answer.
Answers
Answer:
7x(x+4)
Step-by-step explanation:
i got answer from mathay
Kimaya guesses that 11 is the mean of this data set. 8, 7, 11, 7, 6,`12 Without calculating, determine if Kimaya's guess could be correct.
Answers
Answer:
you add up the number and then take that answer and multiply that. with the nuber alone
Step-by-step explanation:
add up 8 7 11 6. 12 and then multiply that answer by 11. how to do it..... 8+7+11+6+12 =? 11×?=
Henri's balance in his savings account was $12,000. The savings
account earns annual simple interest. At the end of four years, the
balance of the account was $13,536. If Henri did not make any
additional deposits or withdrawals during this time, what was the
annual interest rate on this savings account?
18
Answers
Answer:
3.2%
Step-by-step explanation:
I = prt
I = $13,536 - $12,000 = $1,536
1,536 = 12,000 × r × 4
r = 1,536/(12,000 × 4)
r = 0.032 = 3.2%
Adrianna is making flower bouquets. She has 60 roses and 80 daisies. If Adrianna wants to make all the arrangements identical and have no flowers left over, how many roses will be in each bouquet?
Answers
Answer:
3
Step-by-step explanation:
60/3=20
80/4=20
Adrianna can make 20 bouquets with 3 roses and 4 daisies each.
can someone do this for me please?!
Answers
The different parts of a circle are radius, diameter, chord, tangent, arc, centre, secant, sector. Write down the circle formulas. If “r” is the radius of the circle, then the formula for the area and the circumference of a circle are:
PLEASEEEE HELPPP I’m BEGGINGGG
When solving the following equation by completing the square, what would be your
first step?
x^2 - 6x – 40 = 0
Answers
Answer: Add 40 to both sides to collect like terms on each side of the equation
Step-by-step explanation: That's the first step
What is the probability that a sum of a pair of number cubes will be even and greater than 6 if the first cube lands on 4?
I guessed the answer to this question and got it right with 1/18 out of pure luck. I have no idea why it is 1/18! I'd love a quick explanation :D
Answers
Answer:
Step-by-step explanation:
If the first cube lands on a 4, then the second cube must land on 4 5 or 6.
It cannot land on 5 because that would make it the sum odd. (4 + 5 = 9)
So that leaves 4 and 6. You cannot use 2 because 4 + 2 = 6. The sum must be greater than 6.
So we are left with 2 results. The second cube should be 4 or 6
The results are 4 and 4
and 4 and 6
The results of throwing 2 dice are 36 ways in all. Only 2 combinations work.
2/36 = 1/18
I'm not sure that this is correct but it is the way done by the person writing the question.
The local pool must hold a minimum of 12,000 gallons of water. The pool already has 8,000 gallons of water in it and is being filled at a rate of 250 gallons per hour. Drag the solution to the number line to show how many hours it will take to fill the pool with water to its minimum amount required.
Answers
Answer:
16 hours
Step-by-step explanation:
Remaining gallons to be filled :
Minimum water - Containing water12,000 - 8,0004,000 gallonsTime to fill 4,000 gallons
Amount to be filled / filling rate4,000 / 25016 hoursAnswer:
Step-by-step explanation:
This is the answer
EVALUATE: -2x-24 WHEN X = 2 AND y = 4.
Answers
Answer:
-28
Step-by-step explanation:
-2x-24
-2(2)-24
-4-24
-28
Determining Whether a Difference Is Statistically Significant
You calculated the standard deviation of the sample mean differences to be 0.69. You also calculated the sample mean difference to be 1.74. Now you’ll determine whether the difference is significant. For the purpose of constructing the confidence interval, assume that there’s no difference between the population means.
Part A
Determine the 95% confidence interval for the difference of the sample means. Then complete the statements.
The 95% confidence interval is __ to ___ .
Blank 1: -1.26, -1.38, -3.48, -3.44
Blank 2: 3.44, 3.48, 1.38, 1.26
Part B
Which statement is true about the difference of the sample means?
1. The difference of the sample means is not statistically significant because it falls outside the 5% significance level.
2. The difference of the sample means is statistically significant because it falls outside the 5% significance level.
3. The difference of the sample means is not statistically significant because it falls within the 5% significance level.
4. The difference of the sample means is statistically significant because it falls within the 5% significance level.
Part C
What can you conclude about the color of the L-Bow Roni box?
Answers
The difference of the sample means is statistically significant because it falls outside the 5% significance level.
How to explain the statisticsThe formula for a 95% confidence interval for the difference between two population means is:
(sample mean difference) ± (critical value) x (standard error of the mean difference)
Assuming a two-tailed test and a sample size greater than 30, the critical value is approximately 1.96. The standard error of the mean difference is calculated by dividing the standard deviation of the sample mean differences by the square root of the sample size.
So, the 95% confidence interval is:
1.74 ± 1.96 x (0.69/√n)
Assuming that the sample size is not given, we cannot calculate the exact confidence interval. However, we can say that the confidence interval will be of the form:
1.74 ± (some number)
Therefore, the 95% confidence interval is a range of values that contains the true population mean difference with 95% confidence.
Blank 1: -1.26
Blank 2: 3.44
In order to determine whether the difference is statistically significant, we need to compare the confidence interval to the null hypothesis of no difference. If the confidence interval does not contain the null hypothesis value, then we can reject the null hypothesis and conclude that the difference is statistically significant at the chosen significance level (5% in this case).
The null hypothesis in this case is that there is no difference between the population means. Since we are assuming this for the purpose of constructing the confidence interval, the null hypothesis value is 0.
The confidence interval in Part A does not contain the null hypothesis value of 0, since it ranges from -1.26 to 3.44. Therefore, we can reject the null hypothesis and conclude that the difference is statistically significant at the 5% significance level.
So, the correct answer is that the difference of the sample means is statistically significant because it falls outside the 5% significance level.
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The model represents an equation. What value of x makes the equation true?
Answers
An equation is formed of two equal expressions. The value of x that can satisfy this equation is 1.875.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The model represents the equation as given below,
[tex](6 \times -x)+(6 \times 1) = (2 \times x) + (9 \times -1)\\\\-6x+6=2x-9\\[/tex]
The value of x that can satisfy this equation can be written as,
[tex]-6x+6=2x-9\\\\-6x-2x=-9-6\\\\-8x = -15\\\\8x=15\\\\x = \dfrac{15}{8} = 1.875[/tex]
Hence, the value of x that can satisfy this equation is 1.875.
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Helpppp how do I do this?
Answers
The angles shown are
<QPR<SPRPR is the bisector of angle P
So
<P=<QPR+<SPR or =<QPSSolve the distance from the ground station to the satellite.
Need Quick!!!
Answers
Apply Pythagorean theorem
H²=P²+B²H²=6371²+42157²H²=40589686+1777212649H²=1817802335H=42635km(Approx)What is the correct answer NEED IT ASAP
Answers
Answer:
Answer is D) [tex]g(x)=(x+1)^2+3[/tex]
Step-by-step explanation:
[tex]f(x)=(x-h)^2+k[/tex]
h = shift left or right
k = shift up or down.
Given:
h = -1 , k = 3
Put that into the equation f(x)
[tex]f(x)=(x-(-1))^2+(3)\\f(x)=(x+1)^2+3[/tex]
Which three measures could be the side lengths of a right triangle? Explain or show your reasoning
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
IMAGE ABOVE
Answers
Answer:
Step-by-step explanation:
.
Answer:
[tex]( \sqrt{24} ) ^{2} + 5 {}^{2} = 7 {}^{2} \\ [/tex]
Pythagoras theorem:
a²+b² = c²
where a, b and c are the adjacent, opposite sides and hypotenuse of a right angled triangle respectively.
Therefore, √24 , 5 and 7 are the sides of a right angled triangle.