Which of the following is the equivalence in kg for 220 lb? (2.2 lb =1 kg)
110 kg
2.20 kg
50 kg
100 kg
Correct Answer : D
We two conversions when asked to convert between kg and lb
And
We need kg equivalent of 220 lb, therefore we use option 1 and carry out the conversions as follows:
Thus, 100kg is equal to 220lb.
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Correct Answer is B
Explanation
The median of a data set is found in two ways:
For an odd data set, the median fall in the (N+1)/2 th position.
For an even data set, the median is the average of the element in the (N/2)th and (N+1)/2 th positions.
To find the median of the given data set, we need to arrange the elements from the smallest to the largest as follows:
12, 12, 16, 18, 19, 22, 23, 24, 26, 35, 35
There are 11 elements in the data set. 11 is an odd number and the median fall in the (N+1)/2 th position.
Median =(11+1)/2=12/2=6 th position.
From the organized data, the element in the 6th position is 22, which is the required median for the data set.
Correct Answer is C
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a no correlation
Option c is a negative correlation
Option d is a positive correlation
Correct Answer is A
Explanation
The selling price of the sweater is marked price less the mark off value.
Mark off value=mark off rate*original price
Mark of value=30% of $95
Mark of value=0.30*$95=$28.50
Now, find the selling price of the sweater
Selling price= marked price-mark off value
Thus, the sweater will be sold for 66.50 after applying a mark off of 30%. The selling price is about $67.
Correct Answer is C
Explanation
In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:
Now we evaluate the above equation noting that of means multiply.
So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
Correct Answer is A
Explanation
We are required to find the doctor’s earning in 4 weeks after taking off taxes.
The first step is to find the total weekly deductions as follows:
Total weekly tax=federal income tax + state income tax + Social Security tax
Total weekly tax=$(85.00+40.00+81.00)
Total tax=$206.00
The next step is to find the weekly income after deducting total taxes
Weekly net income=gross income-total tax
Weekly net income=$(980.00-206.00)=$774.00
In one week, the net income of the doctor is $774.00 and after 4 weeks, the net income will be 4 times his weekly earning
Correct Answer is D
Explanation
We use the order of operation to solve for the unknown value of x.
3(3x+3)=8x+5
Multiply 3 with each number in the brackets
(3*3x)+(3*3)=8x+5
9x+9=8x+5
Subtract 9 from both sides
9x+9-9=8x+5-9
9x=8x-4
Subtract 8x on both sides
9x-8x=8x-8x-4
x=-4
Thus, the unknown value of x is -4.
Correct Answer is D
Explanation
We two conversions when asked to convert between kg and lb
And
We need kg equivalent of 220 lb, therefore we use option 1 and carry out the conversions as follows:
Thus, 100kg is equal to 220lb.
Correct Answer is D
Explanation
Before finding the area of the pizza, we need to find the radius of the pizza.
Find radius of the pizza in terms of diameter
Next, find area of the pizza using the radius of 6 inches
Substituting r=6 in the equation of the area of a circle
Thus, the pizza has an area of 36 π in2.
Correct Answer is B
Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected.
From the above evaluations, option two is the correct choice.
Correct Answer is A
Explanation
The first five months of the year are January, February, March, April, and May. We use to graph to find the amount of rainfall in each month as follows:
In the month of January, rainfall was between o and 1, which is halfway. Therefore, rainfall in January is 0.5 inches
On February, rainfall was 1 inch and on March the rainfall was 2 inches.
On April, the rainfall amount was 4 inches while on month of May, the rainfall was about 3.5 inches. Therefore, total rainfall in the first 5 months was:
Total rainfall=0.5 inches+1 inches+ 2 inches+4 inches + 3.5 inches =11 inches
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