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The list shows the thicknesses of several different types of art paper.
,begin bold,Thickness,end bold, (centimeters)
0.004
0.007
0.011
0.011
0.015
0.016
0.020
0.200
0.214
Question
What is the range of this set of data?
Answer options with 5 options
A.
0.055
B.
0.210
C.
0.214
D.
0.218
E.
0.498
The range of this set of data is 0.214 - 0.004 = 0.210.
Therefore, the correct answer is B. 0.210
What is 79,300 written in scientific notation?
Answer options with 4 options
A.
7.93 times 10 Superscript 4 Baseline
B.
7.93 times 10 Superscript 5 Baseline
C.
79.3 times 10 Superscript 4 Baseline
D.
79.3 times 10 Superscript 5 Baseline
79,300 written in scientific notation is 7.93 x 10^4.
Therefore, the correct answer is A. 7.93 times 10^4.
Sonya carried ,begin emphasis,all,end emphasis, the books weighing 2 and one-fourth pounds and 2 and three-eighths pounds to the library.
How many pounds of books did Sonya carry?
Answer options with 4 options
A.
4 and one-half pounds
B.
4 and five-eighths pounds
C.
6 and five-eighths pounds
D.
6 and seven-eighths pounds
To find the total weight of the books, we add 2 and one-fourth pounds (2 1/4) and 2 and three-eighths pounds (2 3/8).
To add the fractions, we need to find a common denominator. The least common multiple of 4 and 8 is 8.
2 1/4 = 2 * 4/4 + 1/4 = 8/4 + 1/4 = 9/4
2 3/8 = 2 * 8/8 + 3/8 = 16/8 + 3/8 = 19/8
Now we can add the fractions:
9/4 + 19/8 = (9 * 2)/(4 * 2) + 19/8 = 18/8 + 19/8 = 37/8
To simplify the fraction, we divide the numerator by the denominator:
37 ÷ 8 = 4 and 5/8
Therefore, Sonya carried 4 and five-eighths pounds of books.
The correct answer is B. 4 and five-eighths pounds.
Allison is 5 feet tall. One afternoon her shadow measured 2.5 feet. At the same time, the shadow of her favorite tree was 14.5 feet.
What is the height of the tree?
Answer options with 4 options
A.
7.25 feet
B.
12.5 feet
C.
17 feet
D.
29 feet
We can set up a proportion to find the height of the tree:
(Height of Allison) / (Length of Allison's shadow) = (Height of the tree) / (Length of the tree's shadow)
Let's plug in the values:
(5 feet) / (2.5 feet) = (Height of the tree) / (14.5 feet)
Now we can cross multiply:
2.5 * (Height of the tree) = 5 * 14.5
Simplifying the equation:
2.5 * (Height of the tree) = 72.5
Dividing both sides by 2.5:
Height of the tree = 72.5 / 2.5 = 29
Therefore, the height of the tree is 29 feet.
The correct answer is D. 29 feet.
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on 5 mugs at the sale price.
Question
What was the price of 1 mug before the sale? Enter the answer in the box.
Let's assume that the original price of 1 mug before the sale is x dollars.
During the sale, the price of each mug is reduced by $1.75, so the sale price of 1 mug is x - $1.75.
Wen spends $28.20 on 5 mugs at the sale price, so we can set up the equation:
5 * (x - $1.75) = $28.20
Now, let's solve for x:
5x - 8.75 = 28.20
5x = 28.20 + 8.75
5x = 36.95
x = 36.95 / 5
x ≈ 7.39
Therefore, the price of 1 mug before the sale was approximately $7.39.
Amount of Sodium in Yogurt
Strawberry Vanilla
Minimum 100 80
Q 1 130 120
Median 185 165
Q 3 210 195
Maximum 220 230
Question
Which flavor has the greatest variation in sodium levels?
Answer options with 4 options
A.
vanilla, because the range is larger
B.
vanilla, because the minimum is smaller
C.
strawberry, because the median is larger
D.
strawberry, because the maximum is smaller
To determine which flavor has the greatest variation in sodium levels, we need to compare the ranges of the two flavors.
The range is calculated by subtracting the minimum from the maximum.
For strawberry: Maximum - Minimum = 220 - 100 = 120
For vanilla: Maximum - Minimum = 230 - 80 = 150
Since the range for vanilla (150) is larger than the range for strawberry (120), we can conclude that vanilla has the greatest variation in sodium levels.
Therefore, the correct answer is A. vanilla, because the range is larger.