The maximum value of a data set consisting of 25
positive integers is 84. A new data set consisting of 26
positive integers is created by including 96 in the
original data set. Which of the following measures
must be 12 greater for the new data set than for the
original data set?
A) the mean
B)the median
C)the range
D)the standard deviation
The new data set's range must be greater than the original data set's range. which is the correct answer would be an option (C).
What is the range of the data?The range of the data is defined as the difference between the maximum value of data and the minimum value of the data.
Let m be the smallest value in the original data collection.
Given that the original data set's range = 84 -m
A new data set is made up of 26 positive integers and 96 from the existing data set.
As a result, the new data set's range is 96-m.
We can now determine the difference between two ranges by subtracting them :
⇒ (96 - m) - (84 - m)
⇒ 96 - m - 84 + m
⇒ 12
As a result, the new data set's range must be greater than the original data set's range.
Hence, the correct answer would be an option (C).
To learn more about the range of the data click here:
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Answer:
b
Step-by-step explanation:
help me please i am i need of assistance
Use the portion of the periodic table shown below to answer the questions.
A portion of the first three columns of the periodic table is shown. Column one from top to bottom reads 11 sodium 22.990, 19 potassium 39.098, and 37 rubidium 85.468. Column two reads 12 magnesium 24.305, 20 calcium 40.078, and 38 strontium 87.62. Column three reads 21 scandium 44.956 and 39 yttrium 88.906.
Part 1: Name two elements that have the same properties as magnesium (Mg). (4 points)
Part 2: Determine the number of protons, electrons, and neutrons present in an atom of potassium (K). Explain how you determined your answer using complete sentences. (6 points)
Part 1:
Calcium(Ca) And Strontium (Sr)
Part 2:
Protons: 19
Electrons: 19
(both are the same)
Neutrons:20
Subtract 19 From 39 And Get 20
If You Use This Pls Put it in your own words
Also Sorry if I'm late!
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____________________
Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Suppose Mr. Nicholson plans on working for his new employer for at least 9 years. Use each of the recursive models to determine Mr. Nicholson’s potential annual salary as a nine-year veteran with the company. In your final answer, include all of the necessary calculations.
Answer:
Step-by-step explanation:1. Arithmetic: Add 3,500
The annual raise of 3,500 means add 3,500 to the previous year's salary
60,000 + 3,500 = 63,500
63,500 + 3,500 = 67,000
67,000 + 3,500 = 70,500
70,500 + 3,500 = 74,000
74,000 + 3,500 = 77,500
Geometric: Multiply by 1.05
The annual raise by 5% of his current salary means multiply by 1.05.
60,000 x 1.05 = 63,000
63,000 x 1.05 = 66,150
66,150 x 1.05 = 69,457.50
69,457.50 x 1.05 = 72,930.38 rounded
72,930.375 x 1.05 = 76,576.89
The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)
2a. Arithmetic - New salary is $3,500 greater each year than last year's salary
S = 60,000 + 3500(n-1)
Geometric - New salary is 5% more each year than last year's salary
60,000 + (1.05)^(n-1)
2b. Arithmetic Earnings over 3 years
60,000 + 63,500 + 67,000 = 190,500
Geometric Earnings over 3 years
60,000 + 63,000 + 66,150 = 189,150
There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two
3.Arithmetic
a(9) = 3,500 + a(9-1)
a(9) = 3,500 + 89,000
a(9) = 92,500
Geometric
a(9) = 1.05 x a(9-1)
a(9) = 1.05 x 84,425.90
a(9) = 88,647.20
4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.
I'm always happy to help :)
Answer:
he is not a wealthy man
Step-by-step explanation:
because he got money
A lorry drives for 4 hours at a speed of 45 mph. Calculate how far it travles
Answer:
180 miles
Step-by-step explanation:
Distance = speed x time
45 x 4 =180miles
Can somebody help me. Will Mark brainliest.
The price of the shirt is 40$ the sales tax is 8%
how much will he pay in taxes for the shirt
A. 8.00
B. 3.20
C.48.00
D. 5.20
Answer:
40*.08=3.2
$3.2
Answer:
B
Step-by-step explanation:
40 times 0.08%= 3.20
96:120 simply To the least
Answer:
4:5
Step-by-step explanation:
96:120
simplified:
divide both sides of colon by 24:
4:5
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Answer:
77/36 = 2.14 (rounded)
Step-by-step explanation:
how many questions left??
XD Hope it helps
Which equation, when solved, results in a different value of x than the other three?
marilyns teacher slowed her to take a makeup test she scored 24/60 on the original test and 28/40 on the makeup test by what percentage did marilyn improve her score
Find the image of (1, 2) after a
reflection about y = -1 followed by a
reflection about y = 1.
True or false 81^3/2 =9
Answer:
lets solve it.
Taking LHS:
81^3/2=(81*81*81)/2
531,441/2
265,720.5
Now comparing RHS and LHS
265,720.5 & 9
and they are not equal, thus false.
help if you can please
Answer:
a. iii
b. ii
c. i
d. v.
e. iv
Step by Step:
Can you help with these two? Thanks!
Answer:
1. D.
2.C.
Step-by-step explanation:
If I'm right pls mark brainleist
What is the greatest common factor of 36 and 42?
Answer:
Answer is 6.
Step-by-step explanation:
What is the Greatest Common Factor of 36 and 42? Greatest common factor (GCF) of 36 and 42 is 6. We will now calculate the prime factors of 36 and 42, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 42.
I hope it's helpful!
25PTS!!! Find any of the blanks please hurry! Will give brainliest
Answer:
C:1,800
B:90
Step-by-step explanation:
May someone answer these 4 questions for me? Find the area
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!
Answer:
1/3
Step-by-step explanation:
1 rise
3 run
When an inclined plane is used,
the mechanical advantage increases as the height increases.
a greater force is exerted over a shorter distance.
a negative mechanical advantage can result.
a smaller force is exerted over a longer distance.
Answer:
the mechanical advantage increases as the height increases.
Step-by-step explanation:
Here are two similar solid toys. The ratio of surface area of toys R: surface area of toy B is 7:9. The volume of toy B is 20cm^3. Work out the volume of toy A. Give your answer to 3 significant figures 
Answer:
13.7
Step-by-step explanation:
The computation of the volume of toy A is shown below:
7 × k^2=9
k^2= 9 ÷ 7
k=√9 ÷ 7
k = 1.133893419
Now
= 20 ÷ 1.133893419³
=13.7
7 1/2 divied by 1 1/2
Answer:
.652173913
Step-by-step explanation:
Revenue control systems can help protect guests, employees, and revenues from the point of taking a guest's order to:
A) checking the guest out
B) locking the safe at night
C) making a bank deposit
D) closing out a shift
Answer:
i think is A
Step-by-step explanation:
because need to check first
If ray OC stands on line AB such that ∠AOC = ∠BOC, then find ∠BOC.
Answer:
Here OP bisect ∠BOC
∴∠POC=∠BOP …………(i)
and OQ bisect ∠AOC
∴∠AOQ=∠COQ …………….(ii)
and ∠AOB=180
o
[∵AOB is a straight line]
⇒∠BOP+∠DOC+∠COQ+∠AOQ=180
o
⇒∠POC+∠POC+∠COQ+∠COQ=180
o
[using (i) & (ii)]
⇒2∠POC+2∠COQ=480
o
⇒2(∠POC+∠COQ)=180
o
⇒2∠POQ=180
o
⇒∠POQ=90
o
.
the quotient of 14 and z
Answer:
dont know sorry
Step-by-step explanation:
sorry :(
3) The labor charge at Angie's repair shop is $60 an hour. Tony charges $ 25
for half an hour of work. Which shop charges less? Show how you know.
I
Answer:
Tony's shop charges less.
Step-by-step explanation:
Angie charges $60 an hour or $30 for a half hour.
Tony charges $25 for a half hour.
25 is less than 30
who can help me with some math homework
Answer:
I can help you dude if any trouble (:
Is This a Linear Function?explain
Which expression is equivalent to 9c + 12d + 2c
A. 18c + 12d
B. 11c + 12d
C. 11c exponent 2 + 12d
D. 23cd
Answer:
B. 11c + 12d
Step-by-step explanation:
Given
9c + 12d + 2c
Combine the like terms
= 11c + 12d
Hope it will help :)