Whether treating the decimal as a whole number or converting it to a fraction, the key lies in preserving the accuracy of the product while considering decimal positions.
Multiplying a whole number by a decimal involves different methods, with the primary goal of determining the product accurately. One method is to treat the decimal as a whole number, ignoring its decimal point initially.
Multiply the whole number as usual, and then consider the decimal point's position in the result. The number of decimal places in the product is equal to the sum of the decimal places in the factors.
Alternatively, one can convert the decimal to a fraction before multiplication. This involves expressing the decimal as a fraction with the denominator being a power of 10.
Afterward, multiply the whole number by the numerator and simplify the fraction if necessary. Both methods yield the same result but may be more intuitive for different individuals. The key is to maintain awareness of decimal positions and convert between decimal and fractional forms as needed.
Eight students on a class treasure hunt found the following number of hidden chocolates. Their teacher wanted to be sure that each student received the same number of chocolates after the event. Which measure(s) of central tendency can the teacher use to distribute the chocolates equally among all of the students?
A. the median B. the mode C. the mean D. either the mean or the mode
The solution is : Option B) Mode is correct
The grade C represent the measure of central tendency is Mode
What is mode?The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.
Given that "A teacher writes the results of a test on the board:
7 students received A's, 10 students received B's, 18 students received C's, 4 students received D's, and 1 student received an F."
To find the grade of C would represent which measure of central tendency:
The mode is the most occurring value in a data set.
In the given case, the frequency distribution was 7 A's, 10 B's, 18 C's, 4 D's and 1 F, since C is the most common grade, therefore it is the mode.
Only if the given was a normal distribution, the mode must be equal to the mean and the median.
In this case the median(middle term) is also C .
Hence C is the mode because it is the value that occurs most in the given set of data.
∴ the measure of central tendency for grade C represents is Mode.
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complete question:
A teacher writes the results of a test on the board: 7 students received A's, 10 students received B's, 18 students received C's, 4 students received D's, and 1 student received an F. The grade of C would represent which measure of central tendency? a. Mean b. Mode c. Median d. Standard deviation
(03.02)
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)? (2 points)
Select one:
a. The house sold for $250,000.
b. The house stayed on the market for an average of 250 days before being sold.
c. This is the average number of days the house stayed on the market before being sold for $250,000.
d. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold.
Answer:
C
Step-by-step explanation:
f(p) is the average number of days a house stays on the market before being sold for price p in $1,000s
A little more clearer explanation:
p is the price in $1000s, andf(p) is the number of days before its sold for pHence, f(250) would be the number of days before its sold for 250,000 (since p is in $1000s)
Answer choice C is the correct one.
Who to square root a decimal
How many % of 50 shirts 35 shirts
Maria bought 1/4 pound of ham and 5/8 pound of turkey. How much more turkey than ham did she buy?
Maria bought 1/4 pound more turkey than ham by calculating the difference between 5/8 pound of turkey and 1/4 pound of ham.
Explanation:To determine how much more turkey than ham Maria bought, we need to compare the weights of the turkey and the ham. Maria bought 1/4 pound of ham and 5/8 pound of turkey. To find the difference, we subtract the smaller quantity (ham) from the larger quantity (turkey).
First, we need both quantities in the same unit. They are both already in pounds, so we can subtract directly:
5/8 pound (turkey) - 1/4 pound (ham) = 2/8 pound (or 1/4 pound)
Maria bought 1/4 pound more turkey than ham.
What percent of a dollar is $0.15
what is 5,400 written in scientific notation
Mr. Design is covering rectangular pieces of plywood with fabric to create a wall hanging. Each piece has an area if 12 3/4 square inches. One of the rectangles is 2 1/8 inches wide and area second rectangle is 2 1/10 inches wide. Find the length of each rectangle.
In a sale, normal prices are reduced by 20%. Andrew bought a saddle for his horse in the sale. The sale price of the saddle was £220. Calculate the normal price of the saddle
The normal price of the saddle, x = £275.
To find the normal price of the saddle:
Let the normal price be x.
Since the sale price is £220, which is 80% of the normal price, you can set up the equation: 0.80x = £220.
Solve for x: x = £220 / 0.80 = £275.
Use long division to convert the rational number 4/9 to its equivalent decimal form.
Which is greater -31 3/7 or 31.1
Tammy scored 94, 91, 90, 93 on four tests. What is the lowest score she needs to get in her next test to have a mean score of 93?
A speed skater covered 1500 meters in 106.43 seconds. Find his unit rate of speed in meters per second.
Step-by-step explanation:
icy-izzk-ifg come fast
Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.
Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250.
No. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is not a factor of f(x) = x3 − 75x + 250.
Yes. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is not zero. Therefore, x + 10 is a factor of f(x) = x3 − 75x + 250.
No. When the function f(x) = x3 − 75x + 250 is divided by x + 10, the remainder is not zero. Therefore, x + 10 is not a factor of f(x) = x3 − 75x + 250.
Answer:
yes, When the function [tex]f(x)=x^3-75x+250[/tex] is divided by x+10 , the remainder is zero.Therefore, x+10 is a factor of [tex]f(x)=x^3-75x+250[/tex]
Step-by-step explanation:
We are given that
[tex]f(x)=x^3-75x+250[/tex]
We have to find [tex]x+10[/tex] is a factor of given function.
By remainder theorem
[tex]x+10=0[/tex]
[tex]x=-10[/tex]
Substitute x=-10
Then , we get
[tex]f(-10)=(-10)^3-75(-10)+250[/tex]
[tex]f(-10)=-1000+750+250=0[/tex]
Remainder=f(-10)=0
It means x+10 is factor of given function f(x) because when x+10 divides the f(x) then we get remainder=0.
Answer:yes, When the function [tex]f(x)=x^3-75x+250[/tex] is divided by x+10 , the remainder is zero.Therefore, x+10 is a factor of [tex]f(x)=x^3-75x+250[/tex]
The formula for compound interest is A = P + Prt. Solve for P
Please HELP!!!!!
Since his January statement, Mr. Parker has written two checks for $6,098.11 and $3,876.99 and made a deposit. His January statement shows a balance of $12,897.55 and his checkbook balance shows he currently has $6984.85. How much did Mr. Park deposit?
Please HELP!!!!!
Since his January statement, Mr. Parker has written two checks for $6,098.11 and $3,876.99 and made a deposit. His January statement shows a balance of $12,897.55 and his checkbook balance shows he currently has $6984.85. How much did Mr. Park deposit?
When multiplying decimals, how do you determine where to place the decimal in the answer?
When multiplying decimals, the decimal in the answer is placed based on the total count of digits following decimals in the original numbers. For example, multiplying 0.4 by 0.20 gives 0.08, not just 8.
Explanation:When you're multiplying decimals, the placement of the decimal in the answer is determined by the total number of digits behind the decimals in the problems you're multiplying. For example, if you're multiplying 0.4 (one digit after the decimal) by 0.20 (two digits after the decimal), your answer should have three digits after it. So, let's multiply: 4 times 2 equals 8, but this should be written as 0.08, not just 8, due to the rule. That's how you manage the decimal placement when multiplying decimals.
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An airplane descends 2.5 miles to an elevation of 6.25 miles. Find the elevation of the plane before its descent.
Oley Scotchgard sells TV's. He earns a 4.5% commission on sales. If his sales last week were $9000, how much did Oley earn?
.
To calculate Oley's earnings based on a 4.5% commission rate from his $9000 sales last week, we need to apply the commission rate to the sales amount.
Here's the calculation we use:
First, convert the percentage to a decimal by dividing by 100. Therefore, 4.5% becomes 0.045.
Next, multiply the sales amount by the decimal commission rate: $9000 × 0.045.
Doing the math gives us Oley's commission: $405.
So, Oley Scotchgard earned a commission of $405 from his sales last week.
Marlye posted a story on her blog. On the first day there were 80 responses and on the second day there were 180 responses. What percent is the increase, 100, of the original number of responses, 80?A . 55% B. 80% C.100% D. 125%
On the second day, the responses to Marlye's blog increased by D. 125%.
Marlye notices that the number of responses to her blog is increasing because 80 responses came in on the first day which increased to 180 responses the next day.
The increase is:
= 180 - 80
= 100 responses
As a percent of the first day, this increase is:
= Increase / Number of responses in day 1 x 100%
= 100 / 80 x 100%
= 1.25 x 100%
= 125%
In conclusion, there was an increase of 125% in the responses to her blog.
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write a decimal as a fraction or mixed number in simplest form 6.35
What is the value of the expression? −4.2 (0.35−3.5)
Final answer:
The value of the expression −4.2 (0.35−3.5) is found by first solving the operation within the parentheses, resulting in −3.15, and then multiplying this result by −4.2 to get 13.23.
Explanation:
To calculate the value of the expression −4.2 (0.35−3.5), we first evaluate the operation inside the parentheses.
0.35 − 3.5 = −3.15
Now, multiply this result by −4.2:
−4.2 × (−3.15) = 13.23
Therefore, the value of the expression −4.2 (0.35−3.5) is 13.23.
Which rates are equivalent to 25 miles per gallon?
150 miles/ 6 gallons
50 miles/ 1.5 gallons
100 miles/ 3.8 gallons
75 miles/ 3 gallons
Answer:
1 one 2 one 4 one
Step-by-step explanation:
jonah's house and his grandparent's house are 8,046.72 meters apart. what is this distance in miles?
it raind during 40% of the days of Chrissys vacation. if it rained on 2 days how many days long was chrissys vacation
To find the length of Chrissy's vacation, use the proportion of rainy days to determine the total number of days, resulting in a 5-day vacation.
Explanation:To find the total number of days in Chrissy's vacation, we can use the fact that it rained on 40% of the days, which is equal to 2 days. From this, we can set up a proportion to solve for the total days. So, if 40% equals 2 days, 100% equals how many days?
Set up a proportion: 40% = 2 days and 100% = x days.Cross multiply: 40 * x = 2 * 100Solve for x: x = (2 * 100) / 40Calculate x: x = 5Therefore, Chrissy's vacation was 5 days long.
in a group of 26 children 50% have blue eyes. how many children have blue eyes
Find the product. Check by estimating.
0.2 x 4.6
what is 17/20 as a percentage?
i do not understand how to do this problem
A baseball tournament has 7 teams from the Northern League, 5 teams from the Southern League, and 16 coaches attend. Each team has the same number of players, and a total of 184 people (including players and coaches) attended. How many players were on each team.