A bag contains two green balls, three red balls, and seven yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is yellow?
7/12
¼
½
1/6
Correct Answer : A
The probability of finding the probability of a yellow ball is given by
Total number of balls in the bag=2+3+7=12 balls
The probability of drawing a yellow ball from the bag is 7/12.
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Correct Answer is A
Explanation
A histogram depicts the frequency of a one variable over the other while a bar graph is used to compare two variables with vertical axis representing the heights. Therefore, a histogram will be used to represent percent of the number of students reading after 9.
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Cross-multiply to find the value of x.
Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
Correct Answer is D
Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.25 becomes 625/100
7.4 becomes 74/10
The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.
3/8*2800=1050
625/100*2800=17500
10/7*2800=4000
74/10*2800=20720
The fraction 7.4is the greatest of all.
Correct Answer is A
Explanation
The perimeter of a shape is the sum of the lengths of all its sides.
Given Trapezoid:
- Top side: 10 cm
- Bottom side: 16 cm
- Left slant side: 5 cm
- Right slant side: 5 cm
Calculate the Perimeter:
10+16+5+5=36cm
Correct Answer is C
Explanation
we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.
Thus, 3.9 L is 3900 mL.
Correct Answer is B
Explanation
The scatter plot showing the relationship between the number of absences in a semester and students’ final exam scores. The trend shows that as absences increase, exam scores decrease.
This represents a Negative Correlation because:
- When one variable (absences) increases, the other variable (exam score) decreases.
- The points on the scatter plot trend downward from left to right.
Correct Answer is C
Explanation
Step 1: Calculate the Discounted Price per Unit
The original price of each unit of bedding is $160. Since there is a 10% discount, the discounted price per unit is:
DiscountedPrice =160−(0.1×160) =160×0.9
Step 2: Determine the Total Cost
If X units are purchased, the cost for all units is:
T = (0.9)160X
Since there is a fixed shipping cost of $25 per order, the total cost equation becomes:
T = (0.9)160X+25
Step 3: Identify the Correct Answer
The equation that matches this is:
C. T=(0.9)160X+25
Correct Answer is B
Explanation
we convert the given value in yards to the cm by setting up the equation below.
2 yards is equal to 182.88 cm, which is approximately 180 cm.
Correct Answer is D
Explanation
we use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator,
Multiplying the square root above with 5 becomes
The approximate value is 26.9.
Correct Answer is D
Explanation
To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:
- Identify the tenth place in 24.375:
- Tenth place: 3 (24.375)
- Hundredths place: 7 (the next digit after the hundredths place)
- Apply rounding rules:
- If the hundredths place is 5 or greater, round up the tenth place.
- Since 7 is in the hundredths place, round 24.3 up to 24.4.
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