The graph below represents the amount of rainfall in a particular state by month. Which of the following is the total rainfall for the months May, June, and July?
9.0 inches
8.4 inches
7.5 inches
10.5 inches
Correct Answer : A
: We need to find the total rainfall for the months of May, June, and July using the given graph.
In the month of May, rainfall is between 3 and 4, which is halfway. Therefore, rainfall in May is 3.5 inches
On June, rainfall was 3 inch and on July the rainfall was 2.5 inches. Thus,
Total rainfall=3.5 inches+3 inches+ 2.5 inches=9.0 inches
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Correct Answer is D
Explanation
Here we need to find the actual values of the additions and see the trend the student will use to estimate the given problem. The exact sum is as follows
35+192=227
258+350=608
947+1032=1979
From the above calculations, it is evident that the student rounds up or down the ones place values. So, in the problem we need to approximate 694+7618.
694+7618=8312
We can approximate 8312 based on the provided choices is 8310.
Correct Answer is A
Explanation
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes: The unknown length of the triangle is about 16.7 feet.
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes:
The unknown length of the triangle is about 16.7 feet.
Correct Answer is A
Explanation
: In order to solve for the value of x, we use the order of operations as follows:
The first step is to divide both sides by 3
Add 2 to both sides to eliminate it from the left-hand side of the equation
x-2+2=4+2
x = 6
Thus, the value of x is 6.
Correct Answer is C
Explanation
The distribution of the weights of the newborn babies is symmetric meaning the mean, mode, and median are all equal. Thus, the bell-shape curve describes this kind of distribution of weights
Correct Answer is D
Explanation
to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is
3/4*100%=75%
Thus, 3/4is equal to 75%.
Correct Answer is D
Explanation
correlations fall into positive, negative, and no correlation. A positive correlation shows that an increase in one variable increase results in an increase on the other variable increases as shown.
A negative correlation scatter plot shows that an increase in one variable results in a decrease on the other one.
The no-correlation scatter plot demonstrates that there is no response between variables. A change in one variable has no effect on the other variable.
Looking at the provided scatter plot, the heights of the students does not have any relationship on the students’ scores. Thus, the type of correlation is no correlation.
Correct Answer is D
Explanation
Before we compare the values of the options, we convert the decimals to fractions.
5.4 becomes 54/10
6.25 becomes 625/100
Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
11/2*300=1650
54/10*300=1620
13/3*300=1300
625/100*300=1875
From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.
Correct Answer is D
Explanation
: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,
One friend=1/4 of 1=1/4*1=1/4
Remaining amount=1-1/4=4/4-1/4=3/4
Thus, ¾ of burger is left for two friends to share among themselves. Then, each friend will get
So, the other two friends will each get 3/8 of the burger.
Correct Answer is C
Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
Correct Answer is C
Explanation
We usea calculator to find the product of
1.6*0.93=1.488
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