Study the data set shown. Then answer the questions below.
a. Any number that is not the minimum or maximum could be removed without changing the range.
b. Removing the number 97 changes the range.
What is set ?
In mathematics, a set is a collection of distinct objects, called elements or members, that are treated as a single entity. Sets can contain any type of object, such as numbers, letters, or other mathematical objects.
To find a number that could be removed from the data set without changing the range, we need to determine the minimum and maximum values in the set. In this case, the minimum value is 53 and the maximum value is 97, so any number that is not the minimum or maximum could be removed without changing the range. For example, we could remove the number 85:
53 54 63 63
68 68 68 74
82 85 92 88
89 92 92 97
The range of the data set is still 97 - 53 = 44.
To find a number that could be removed from the data set that would change the range, we need to identify a number that is either the minimum or maximum value. For example, we could remove the number 97:
53 54 63 63
68 68 68 74
82 85 85 88
89 92 92
b. The range of the data set is now 92 - 53 = 39, which is smaller than the original range of 44.
Therefore, removing the number 97 changes the range.
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50 PTS! PLEASE HELP me OUT!
Answer:
my thing is being weird so i cant really help. lo siento
i am bord
Step-by-step explanation:
Consider the equation 4x=8.
Which value could be substituted x to make the equation TRUE?
Answer:
2
Step-by-step explanation:
4 times 2 is 8
Enter an estimate. Round each mixed number to the nearest half in your estimate.
5 1/2 - 4 6/7
i need help finding the area of the shape.
Answer:
37.68 units²
Step-by-step explanation:
(3/4)(3.14)r²
(3/4)(3.14)(4²)
37.68
3 < x/2 + 1=? I need help !
Which fraction rounds to 5?
Answer:
5/1
Step-by-step explanation:
Answer:
5/1
Step-by-step explanation:
Which inverse operations could you use to solve the equation m/5 - 8 = -6? Select two answers.
A Add 8 to each side and then divide each side by 5
B. Add 8 to each side and then multiply each side by 5
C. Multiply each side by 5 and then add 40 to each side
D. Subtract 8 from each side and then multiply each side by 5
E Multiply each side by 5 and then add 8 to each side
Answer:
B and C seem to be the correct answers!
Hope this helps!
What is the maximum integer value that
satisfies the inequality 5x - 11 < 43?
Answer:
If you're asking for x it's 10
Step-by-step explanation:
5x - 11 < 43
5x < 54
The maximum value of x is 10 (because 5x10<54)
\250 doctors from three countries in Europe meeting in a conference to decide whether to approve a new vaccine for the flu. Among these are 115 Germans, 65 French, and 70 Englishmen. We also know that, 75% of the Germans, 60% of the French and 65% of the Englishmen are in favor of using the new vaccine. (a) What is the probability that a randomly chosen doctor is in favor of the vaccine
Answer:
0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
Step-by-step explanation:
(a) What is the probability that a randomly chosen doctor is in favor of the vaccine
75% of 115/250 = 0.46(German).
60% of 65/250 = 0.26(French).
65% of 70/250 = 0.28(Englishmen). So
[tex]p = 0.75*0.46 + 0.6*0.26 + 0.65*0.28 = 0.683[/tex]
0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
The dot plots below show the results.
Students
Teachers
Which compares the medians of the data?
The median for the students is 4 and the median for the teachers is 8.
The median for the students is 2 and the median for the teachers is 3.
The median for the students is 4 and the median for the teachers is 3.
The median for the students is 2 and the median for the teachers is 8.
Answer: The median for the students is 2 and the median for the teachers is 3.
Step-by-step explanation:
Ordering the data for the students from the dot points:
0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4.
n = 20 which is positive so median position is average of:
= (n / 2) and = (n + 1) / 2
= 20 / 2 = 21 / 2
= 10 = 10.5
2 is in position 10 2 is in position 10.5
Average = (2 + 2) / 2 = 2
Student median is 2.
Teachers
0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8
3 is in position 10 as well as in position 10.5.
= (3 + 3) / 2
= 3
Teacher median is 3.
(In attachment, teacher plot is first and then the student follows)
Answer:
Students Median= 2
Teacher Median=3
Step-by-step explanation:
First person to reply gets brainliest
Answer:
I'm not first, but thanks for the points! Have a nice day! :D
Step-by-step explanation:
Question 7
Two sides of a triangle are given as 2 and 5. Which answer below could be the
third side?
3
10
7
5
You can use the Law Of Sins:
a / sin A
b / sin B
c / sin C
(hope this helps, really sorry if i doesnt :/ )
Answer: 10
Step-by-step explanation:
At Marco's school, 5/8 of the students are in the band. What percent of the students are in the band?
Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax $60.00 3% ?
Answer:
$61.80
Step-by-step explanation:
60 increase 3% =
60 × (1 + 3%) = 60 × (1 + 0.03) = 61.8
Answer:
Sales tax:1.80 total cost:61.80
Step-by-step explanation:
Price x sales tax rate = sales tax
60 x .03=1.80
price + sales tax = total cost
60 + 1.80=61.80
The code for a lock consists of 3 digits using the digits: 1,2,4,7,8,9. How many different codes are possible if no digit may be repeated?
Answer:
279
Step-by-step explanation:
9A. What equation represents the proportional relationship depicted in the graph
m=money earned and L=lawns mowed.
A. m = 25L
B. L=15m
C. m=25 + L
Help again lol I’ll give you brainliest
Answer:
8
Step-by-step explanation
All you have to do is how many times it goes up. it goes up 8 times so 8 is your answer
Answer:
21
Step-by-step explanation:
you put all those numbers in in order from least to greatest then you get the smaller number and the biggest number -then you subtract them and you have your answer lollll
46 - 25 = 21
Glen swims to 2/3 mile on Monday, 3/4 mile on Wednesday, and 5/6 mile on Friday. What is the total distance Glenn swims on those three days? Show your work
Answer:
In total, Glen ran 2 and 1/4 miles.
An athlete eats 90 grams of protein per day while training. How much is this in milligrams (mg)?
Answer:
90,000 Mg would be the amount of protein.
232. Сколько решений имеет уравнение | х + 3 | -один?
Answer: уравнение имеет 2 решения:
x₁ = - 4; x₂ = - 2.
Step-by-step explanation:
Ix + 3I = 1
1) x + 3 = 1
x + 3 - 3 = 1 - 3
x = -2
2) - (x + 3) = 1
x + 3 = - 1
x + 3 - 3 = - 1 - 3
x = - 4
65 % of 60 is what number?
Answer:
39
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
because i used a percentage calculator
8y - 2(y + 4)
Simplify
Answer:
= 6y − 8
Step-by-step explanation:
At the end of the year, cars made in the current year are marked down to make room for next year's models. One particular model has a sale price of $12,806, which is 24% less than it sold for when it was new. What was the original price of the vehicle?
9514 1404 393
Answer:
$16,850
Step-by-step explanation:
The sale price is 1 -24% = 76% of the original price (p). An equation is ...
12806 = 0.76p
12806/0.76 = p = 16850
The original price of the vehicle was $16,850.
You buy a refillable cup from the gas station for $10. They are offering a special where you buy the cup, and you can get soft drink refills for only
$0.40 for the entire summer. Write a function in x that represents the total amount you spend on soft drinks at the gas station this summer. Be sure
to indicate any domain restrictions.
Answer:
10₊0.40x
Step-by-step explanation:
Because it starts off by being 10 dollars plus 0.40 times however many refills you get
Suppose that f(x) = 3 (8x - x^2)/256 for 0 < x < 8
Determine the following probabilities. Round all of your answers to 3 decimal places (e.g. 98.765).
a. P(X < 5)
b. P(X< 9)
c. P(5 < X < 7)
d. P(X > 3)
e. Determine x such that P(X < x) = 0.95
Answer and Step-by-step explanation: This function is a probability density function of a random variable X:
[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]
and to calculate probabilities, we will have to integrate it:
[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
Solving:
[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]
Then:
a. P(X < 5)
[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]
[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]
[tex]P(X<5)=\frac{175}{256}[/tex]
P(X < 5) = 0.683
b. P(X < 9)
Since density function's upper limit is 8, probability of x < 9 is 100% or 1.
So, P(X < 9) = 1
c. P(5 < X < 7)
[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]
[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]
[tex]P(5<X<7)=\frac{70}{256}[/tex]
P(5 < X < 7) = 0.273
d. P(X > 3)
[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]
[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]
[tex]P(X>3)=\frac{175}{256}[/tex]
P (X > 3) = 0.683
e. P(X < x) = 0.95
[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]
[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]
[tex]12x^{2}-x^{3}=243.2[/tex]
[tex]-x^{3}+12x^{2}-243.2=0[/tex]
Solving this cubic equation, we have three values for x:
x₁ = -3.909
x₂ = 8.992
x₃ = 6.917
The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.
What is the multiplier for a decrease of 42%
Answer:
x0.58
Step-by-step explanation:
1-0.42=0.58
:)
Round 8.644 to the nearest tenth
Answer:
8.6
Step-by-step explanation:
If 2 /10 = 1/5, how many fifths must be added together to make 6/10 ?
Answer:
3, fifths should be added.
2/10 = 1/5
4/10 = 2/5
6/10 = 3/5
Divide the tenth fractions by two, to get the anwser on the right.
Answer:
3......
Step-by-step explanation:
6 divided by 2 is 3
Jason wakes up for school at 5:30 in the morning. If school starts at 7:00 am, how long in minutes does he have from the time when he wakes up until school starts? *
Answer:
90 minutes
Step-by-step explanation:
an hour is 60 minutes+ another 30 minutes= 90