Question

24 multiple choice 1 point
find the mean, median, and mode of the set: 3, 4, 4, 4, 5
○ mean: 4, median: 4, mode: 5
○ mean: 4, median: 4, mode: 4
○ mean: 5, median: 4, mode: 4
○ mean: 4, median: 5, mode: 4
25 multiple choice 1 point
divide: -24 divided by 4/9
○ -1/54
○ 54
○ -2/3
○ -54
26 multiple choice 1 point
divide: -36 divided by 3/15
○ -1/180
○ -180
○ -54
○ 54
27 multiple choice 1 point
the coldest temperature recorded in asia was -90.4°f, while the coldest temperature recorded in antarctica was -122.4°f. was asias record temperature warmer or colder, and by how many degrees?
○ 32 degrees colder
○ 32 degrees warmer
○ 212.8 degrees warmer
○ 212.8 degrees colder
28 multiple choice 1 point
find the height of a triangle with an area (a) of 35 square inches and base (b) of 7 inches. note: formula for the area of a triangle is a = ½ bh.
○ 490 inches
○ 2.5 inches
○ 10 inches
○ 122.5 inches

Explanation:

Step1: Calculate mean of the set

Mean = $\frac{3+4+4+4+5}{5} = \frac{20}{5} = 4$

Step2: Find median of the set

Ordered set: [3,4,4,4,5]. Middle value is 4.

Step3: Determine mode of the set

Most frequent value is 4.

Step4: Solve -24 ÷ (4/9)

$-24 \times \frac{9}{4} = -54$

Step5: Solve -36 ÷ (3/15)

$-36 \times \frac{15}{3} = -180$

Step6: Compare temperatures

$-90.4 > -122.4$, difference = $-90.4 - (-122.4) = 32$

Step7: Find triangle height

$35 = \frac{1}{2} \times 7 \times h \implies h = \frac{35 \times 2}{7} = 10$

Answer:

1. Mean: 4, Median: 4, Mode: 4
2. -54
3. -180
4. 32 degrees warmer
5. 10 inches