The number `29` represents the median or the second quartile (Q2) age of the family reunion members.
The given data is of `20` people at a family reunion, ordered from youngest to oldest and the value of quartile 2 (Q2) is `29`.
The number `29` tells us about the people at the family reunion that:
Half of the family reunion members had an age of less than or equal to `29` years and half of the family reunion members had an age of more than or equal to `29` years.
In other words, the median age of the family reunion members is `29` years and out of the given ages of `20` people at a family reunion, half of the people are younger than `29` and half are older than `29`.
Therefore, the number `29` represents the median or the second quartile (Q2) age of the family reunion members.
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2( 5/3 + 3/4 ) − 4/3
Answer: = 42/12 Or simply = 7/2
Step-by-step explanation:
2(5/3 + 3/4 ) − 4/3
= 2(5/3) + 2(3/4) − 4/3
= 10/3 + 6/4 - 4/3
= 6/3 + 6/4
= 24/12 + 18/12
= 42/12
Or simply = 7/2
A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle? 203 ft² 143 ft² 107 ft² 72 ft²
Answer:
203 ft²
Step-by-step explanation:
We need to use multiplication for the answer of this.
29 × 7 = 203
so that means that the answer in feet is 203 ft²
good luck hope this helped
-cheesetoasty
Vera exercised for 60% of the time that Noah exercised. Vera exercised for 78 minutes. How long did Noah exercise
The time spent by Noah exercising is 130 minutes
How to determine how long did Noah exerciseFrom the question, we have the following parameters that can be used in our computation:
Vera exercised for 60% of the time that Noah exercised. Vera exercised for 78 minutes.using the above as a guide, we have the following:
Vera = 60% * Noah
So, we have
60% * Noah = 78
Divide both sides by 60%
Noah = 130
Hence, Noah exercised for 130 minutes
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Plssss help me out I really need a 87 and don’t get this wrong ❤️
Answer:
73 degrees
Step-by-step explanation:
The total number of all of the angles in a triangle added together should be 180 degrees. You know that one of the angles is 17. The other angle is 90 because it is a right triangle.
90 + 17 = 107
180 - 107 = 73
So, the other angle is 73 degrees. If this is wrong I am so sorry. Hope this helps you, let me know if it is right!
Answer:
73°
Step-by-step explanation:
A right triangle has one right angle and two acute angles.
A right angle is 90° and the question says that one of the angle are 17°.
We need to add both angles together which = 107°.
A triangle internal total angles will always add up to 180°.
So we need to do 180° - 107° to find the missing angle which = 73°.
Also, the question said that the missing angles was acute and 73° is acute.
hope this helps :)
A mint milk shake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milk shake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milk shake is thicker?
Answer:
1.25/4 = 5/16
1.75/5 = 7/20
Determine which one of these fractions is bigger.
Both milkshakes have the same thickness.
Given that,
A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milkshake is thicker is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
According to the question,
A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream.
Ratio of the milk = 1.25 / 4 = 0.35
A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream.
Ratio of the milke = 1.75 / 5 = 0.35
comparing the ratio both are equal,
Thus, Both milkshakes have the same thickness.
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which expression is a fourth root of -1 + i√3?
Answer:
−1+1.732051i
Step-by-step explanation:
the top of a swimming pool is at ground level. if the pool is 2.50 m deep, how far below ground level does the bottom of the pool appear to be located for the following conditions?
Given a swimming pool that is 2.50 m deep, we need to determine how far below ground level the bottom of the pool appears to be located.
The apparent depth of an object submerged in a medium, such as water, can be calculated using the concept of refraction. Refraction occurs when light travels from one medium to another, and its speed changes. According to Snell's law, the apparent depth (d') of an object in a medium is related to its actual depth (d) and the refractive index (n) of the medium.
The formula for calculating the apparent depth is:
d' = d / n.
In this case, the actual depth of the pool is 2.50 m, and the pool is filled with water, which has a refractive index of approximately 1.33.
Substituting the values into the formula, we have:
d' = 2.50 m / 1.33 ≈ 1.88 m.
Therefore, the bottom of the pool appears to be located approximately 1.88 meters below ground level. This means that when observing the pool from above, it would appear as if the bottom of the pool is situated 1.88 meters below the surface of the ground.
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I DON'T WANT A LINK I WANT AN ANSWER CAN YOU ANSWER THIS QUESTION I NEED IT DONE ASSP How large is the distance from one end of your state to the other (North to South)? What is the distance from the east coast to the west coast of your state? Your state is the ___________ largest in the United States.
My state is Virginia
Which of the statements are correct?
1. A condition for using the chi-square goodness-of-fit test is that all expected counts must be at least five.
2. The chi-square goodness-of-fit test uses 1 − n degrees of freedom.
3. A condition for using the chi-square goodness-of-fit test is the observations are based on a random sa
The chi-square goodness-of-fit test requires that all anticipated counts be at least five and observations be drawn from random sample in order to be valid. The correct statements are I and III only. Correct option is C.
I. The chi-square goodness-of-fit test requires that all anticipated counts be at least five and that observations be drawn from a random sample in order to be valid. This statement is correct. The chi-square goodness-of-fit test is based on the chi-square distribution, which approximates the sampling distribution of the test statistic.
To ensure the validity of the test, it is generally recommended that all expected counts in the cells of the contingency table have a minimum expected count of five. This guideline helps to ensure that the chi-square test statistic follows the chi-square distribution, which is approximately valid under this condition.
II. The chi-square goodness-of-fit test uses 1 − n degrees of freedom. This statement is incorrect. The number of categories being assessed determines the degrees of freedom for the chi-square goodness-of-fit test. It is equal to the total categories less one. So, if there are n categories, the degrees of freedom for the test would be n - 1, not 1 - n.
III. A condition for using the chi-square goodness-of-fit test is that the observations are based on a random sample. This statement is correct. The chi-square goodness-of-fit test assumes that the observations are obtained from a random sample or represent a random selection from a population.
This assumption is important to ensure that the test results are generalizable to the population from which the sample is drawn. If the observations are not based on a random sample, the test results may not be valid or may be biased. Therefore, random sampling is a condition for using the chi-square goodness-of-fit test.
The correct statements are I and III only. Correct option is C.
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Complete question is:
Which of the statements are correct?
I. A condition for using the chi-square goodness-of-fit test is that all expected counts must be at least five.
II. The chi-square goodness-of-fit test uses 1 − n degrees of freedom.
III. A condition for using the chi-square goodness-of-fit test is the observations are based on a random sample.
a) I only
b) II only
c) I and III only
d) II and III only
e) I, II, and III
A coach buys a uniform and a basketball for each of the 20 players on the team. Each
basketball costs $10.40. The coach spends a total of $620 for uniforms and basketballs
What was the cost of a single uniform?
Answer:
$20.60
Step-by-step explanation:
You find how much it costs for the total amount of basketballs (10.40×20=208), then you subtract that number from the total cost of everything to get the cost of all the uniforms (620-208=412), then you divide the total costs for all uniforms by 20 to find the cost for a single uniform (412÷20=20.6). Always make sure that the decimals go until the hundredths place for USD.
Hope this helps!
Use the Extended Euclidean Algorithm to show that the inverse of 177 in mod 901 is 56 by hand calculations ?
The inverse of 177 in mod 901 is indeed 56, as determined through the Extended Euclidean Algorithm by hand calculations.
Given that the inverse of 177 in mod 901 is 56.
To find the inverse of 177 modulo 901 using the Extended Euclidean Algorithm, perform the calculations step by step.
Step 1: Initialize the algorithm with the given values:
a = 901 (modulus)
b = 177 (number for which to find the inverse)
Introduce two variables:
[tex]x_0 = 1, y_0 = 0[/tex]
[tex]x_1 = 0, y_1 = 1[/tex]
Step 2: Perform the iterations of the Extended Euclidean Algorithm:
While b is not zero, repeat the following steps:
Calculate the quotient and remainder of a divided by b:
q = a / b
r = a % b (modulus operator)
Update the values of a and b:
[tex]a = b[/tex]
[tex]b = r[/tex]
Update the values of x and y:
[tex]x = x_0 - q * x_1[/tex]
[tex]y = y_0 - q * y_1[/tex]
Update the values of [tex]x_0, y_0, x_1, y_1[/tex]:
[tex]x_0 = x_1[/tex]
[tex]y_0 = y_1[/tex]
[tex]x_1 = x[/tex]
[tex]y_1 = y[/tex]
Step 3: Once the loop ends and b becomes zero, and obtain the [tex]gcd(a, b) = gcd(901, 177) = 1[/tex], indicating that 177 has an inverse modulo 901.
Step 4: The inverse of 177 modulo 901 is given by [tex]y_0[/tex], which is 56.
Therefore, the inverse of 177 in mod 901 is indeed 56, as determined through the Extended Euclidean Algorithm by hand calculations.
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Expert Help me plssss. I dont understand how to do it
Answer:
V=301.44ft^3
Step-by-step explanation:
l^2°r^2r^2+h^2
10^2=6^2+h^2
100=36+h^2
100-36=h^3
h^2=64
h=8
Volume of cone:
1/3πr^2h
1/3(π)(6)^2(8)
301.44ft^3
Hope it helps....
HHEEEEEELLLLPPPPPP ANSWER THIS QUICKLYYYYY
Answer: 27
Step-by-step explanation:
[tex]a_{1}=6\\a_{2}=a_{n-1}+7=a_{2-1} +7=a_{1} +7=6+7=13\\a_{3}=a_{n-1}+7=a_{3-1} +7=a_{2} +7=13+7=20\\a_{4}=a_{n-1}+7=a_{4-1} +7=a_{3} +7=20+7=27[/tex]
An inflatable figure is a decoration on Gabriella's lawn. A rope 42 in. long secures the top of the figure to the ground at an angle of 80°. About how tall is the figure?
round to the nearest tenth of an inch
Answer:
41.4 in
Step-by-step explanation:
(sin 80) opposite = x
hypotenuse 42
x = 42 * sin (80) = 41.4 in
What is the measure of the other acute angle ?
Answer:
[tex]62^{o}[/tex]
Step-by-step explanation:
All the angles in a triangle add up to [tex]180^{o}[/tex]
Every right angle triangle has a right angle in it which is [tex]90^{o}[/tex]
So to find the remaining angle, you do [tex]180^{o}[/tex] - [tex]90^{o}[/tex] - [tex]28^{o}[/tex] = [tex]62^{o}[/tex]
Interest earned in the first year was $75 . If the total interest for the next 10 years is $750 ,
then the investment must be receiving simple interest .
True
False
Interest earned in the first year was $75. If the total interest for the next 10 years is $750, then the investment must be receiving simple interest. False.
If the total interest for the next 10 years is $750, it indicates that the investment is receiving compound interest, not simple interest. In compound interest, the interest earned in each period is added to the principal, resulting in an increasing base for calculating subsequent interest. Simple interest, on the other hand, is calculated solely based on the initial principal amount and does not incorporate any interest earned over time.
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EASY POINTS!!
INCLUDE A DISC
Answer:
I don't know what you mean by disc but the answer is 80 degrees.
Step by Step explanation:
A triangle is made up of 180 deg
65+35=100
180-100=80
Answer:
F. 80°
Step-by-step explanation:
Because a triangle measues 180°
35+65= 100
180-100=80
So the remaining angle must measure an exact 80°
How many toys would Louis build in 10 hours if she built 3 toys every 20 minutes?
Answer:
90 toys
Step-by-step explanation:
We should use the same unit for time. Rewrite 20 minutes as 1/3 hour.
The unit rate is then:
3 toys 9 toys
----------------- = -----------
1/3 hour hour
Multiply this unit rate by 10 hours, obtaining 90 toys
Please someone help me!! Look at picture. Also write as it expression.
Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy
Step-by-step explanation:
What is the solution to the following graph? Write it as an ordered pair to get credit.
Answer:
(2,6)
Step-by-step explanation:
You spend £41.01 on groceries, £49.54 on fuel, and £12.50 on lottery tickets, how much do you have left from £105?
Answer:
£1.95
Step-by-step explanation:
£41.01 + £49.54 + £12.50 = £103.05
£105 - £103.05 = £1.95
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you
Answer:
Median is the middle line of the box, Lower quartile is the number of the lower end of the box, Upper quartile is the line at the larger end of the box, Maximum is the largest number in the box plot (end of right whisker), Minimum is the lowest number (end of left whisker).
Step-by-step explanation:
32.
Median: 88
Maximum (largest number): 102
Minimum (lowest number): 38
Interquartile range:
96 - 72 = 24
b.
25 % higher
75 % lower?
c.
You can see the range is more towards the right of the box meaning they have higher scores, and that the median or middle is a higher number so it means that most of the students understood and did well on the test.
???.
First quartile: 16
Second: 19
Third: 20
Range: 4
34. Since they are already in least to greatest order, all we have to do is graph it!
85 - 99 is 2
100 - 114 is 1
115 - 129 is 5
130 - 144 is 6
Exercises 2.17 Interpolate a cubic spline between the three
points (0, 1), (2, 2) and (4, 0).
To interpolate a cubic spline between the points (0, 1), (2, 2), and (4, 0), we can use the concept of spline interpolation. A cubic spline is a piecewise-defined function consisting of cubic polynomials, which smoothly connects the given points.
In order to construct a cubic spline, we need to determine the coefficients of the cubic polynomials for each interval between the given points. The spline should satisfy three conditions: it must pass through each of the given points, it should have continuous first and second derivatives at the interior points, and it should have zero second derivatives at the endpoints to ensure a smooth connection.
We start by dividing the interval into three subintervals: [0, 2], [2, 4]. For each subinterval, we construct a cubic polynomial that satisfies the interpolation conditions. By imposing the continuity and smoothness conditions at the interior point (2, 2), we can obtain a system of equations. Solving this system gives us the coefficients of the cubic polynomials.
Once we have the coefficients, we can express the cubic spline as a piecewise function. The resulting cubic spline will smoothly connect the given points (0, 1), (2, 2), and (4, 0) and provide an interpolation function between them. This interpolation technique ensures a smooth and continuous curve, which can be useful for approximating values between the given data points.
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Hey you! Would you like to promote my small pastry business??
Currently we are only selling this: UR MOM (contains: Eggs, Wheat, Milk, Extra Nuts, etc” $19.99
We take cashapp, venmo, PayPal and other types of payments
Answer: nice
Step-by-step explanation:
Sounds like a Scam though ngl
PLSSSSS HELPPP PLSSSSSSSSS PLS I NEED HELPP
Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
paying a total of $23. He wants to know the price of one smoothie.
• price of 5 smoothies: 23 – 3 = 20
1) Which equation shows how to find the price of one smoothie?
20 – 5 = 15
20 : 5 = 4
23 : 5 = 4.60
23 - 5 = 18
Answer:
Each smoothie was $4
Step-by-step explanation:
help pls Evaluate.
169−−−√
Enter your answer in the box.
Answer:
square root is 13
Step-by-step explanation:
Answer:
13!
Step-by-step explanation:
i used my calculator and did the test k-12! its right!
Show your work please
Answer:
B 2208cm squared
you follow this formula
A=2(wl+hl+hw)
w means width
l means length
h means height
input the numbers and you got your answer.
Hope this helped ;)
Answer:5760 cm2
Step-by-step explanation:length times width times height 12 times 12 is 144 and 144 times 40 is 5770 cm2
What is the surface area 3yd 3yd 3yd
Answer:
12
Step-by-step explanation:
your welcome :)
find the value of X such that the data set has a mean of 118. 101, 119, 104, 115, 109, x
Answer:
160
Step-by-step explanation:
101+119+104+115+109+x=548+x
there are 6 terms including x so divide the sum by 6
(548+x)/6=118
multiply both sides by 6
548+x=708
subtract 548
x=160
hope that helps :)
Answer:
160
Step-by-step explanation:
There are 6 numbers in the set
101 + 119 + 104 + 115 + 109 + x = 6(118)
101 + 119 + 104 + 115 + 109 + x = 708
548 + x = 708
-548 -548
x = 160
Find (a) the range and (b) the standard deviation of the data set 40,35.45,55,60. Round to the nearest hundredth if necessary.
Answer:
(a) 25
(b) 9.27
Step-by-step explanation:
Step 1
We have to rearrange the given days set from least to highest
35, 40, 45, 55, 60
(a) the range
Range = The highest number - The least number
= 60 - 35
= 25
(b) the standard deviation of the data set
35, 40, 45, 55, 60.
We find the Mean
Mean = Sum of values/Number of values
= 35+40+45+55+60/5
= 235/5
= 47
We can find the standard deviation now.
The formula =
√(x - Mean)²/n
= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5
= √144 + 49 + 4 + 64 +169/5
= √430/5
= √86
= 9.273618495
Approximately = 9.27