Ms. Hinojosa made a box plot to represent her students' results on the semester one test. The data is shown in the box plot.
The number line represents points on the semester exam.
Ms. Hinojosa's Math Classes
Which statement about this data is true?
Responses
A The mean score is 63.The mean score is 63.
B The interquartile range is 45.The interquartile range is 45.
C One-half of the students scored in the 60 to 80 point range.One-half of the students scored in the 60 to 80 point range.
D The scores on the semester one test for Mrs. Hinojosa's math classes ranged from 40 to 100.The scores on the semester one test for Mrs. Hinojosa's math classes ranged from 40 to 100.
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D The scores on the semester one test for Ms. Hinojosa's math classes ranged from 40 to 100.
JKL has these angle measures:
J has a measure of
.48.3
K has a measure of 89
.
What is the measure of L
in degrees?
Select the correct answer from the drop down menu.
The measure of L
is? ANSWERS
.57.3
52.7
42.7
222.7
To find the measure of angle L, we need to use the fact that the sum of angles in a triangle is 180 degrees.
Given:
Angle J = 48.3 degrees
Angle K = 89 degrees
Let's find the measure of angle L:
180 = 48.3 + 89 + L
180 = 137.3 + L
180 - 137.3 = L
42.7 = L
Therefore, the measure of angle L is 42.7 degrees. So, the correct answer is: 42.7
Two right rectangular prisms are shown, with some dimensions labeled.
The area of the base of prism B is 62 square inches. Which statement best compares the volumes of the two prisms?
Responses
A The volume of prism A is greater than the volume of prism B.The volume of prism A is greater than the volume of prism B.
C The volume of prism B is greater than the volume of prism A.The volume of prism B is greater than the volume of prism A.
B The volume of prism A is equal to the volume of prism BThe volume of prism A is equal to the volume of prism B
D It is impossible to determine the volume of prism B with the information given.It is impossible to determine the volume of prism B with the information given.
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Since we know the area of the base of prism B is 62 square inches, we can determine its volume if we know the height of the prism. However, without knowing the dimensions or area of prism A, we cannot compare the volumes of the two prisms.
Therefore, the statement "It is impossible to determine the volume of prism B with the information given." is correct.
What is the prime factorization of 180?
Responses
A
2 cubed times 3 times 5
B
3 squared times 20
C
6 times 30
D
To find the prime factorization of 180, we start by dividing it by the smallest prime number, which is 2.
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Now, we have prime factorized 180 as:
180 = 2 x 2 x 3 x 3 x 5
This can be simplified as:
180 = 2^2 x 3^2 x 5
Therefore, the prime factorization of 180 is 2 squared times 3 squared times 5, which is represented as option A: 2 cubed times 3 times 5.
Mrs. Cavazos surveyed 256 sixth graders at Calville Middle School to see if they preferred a field trip to the aquarium or to the zoo. The data collected showed that 5 out of 8 sixth graders preferred a field trip to the zoo.
What is the number of sixth graders who preferred a field trip to the zoo?
Enter your answer in the box.
sixth graders preferred a field trip to the zoo.
To find the number of sixth graders who preferred a field trip to the zoo, we can set up a proportion based on the data provided:
5 out of 8 sixth graders preferred a field trip to the zoo
Let x be the total number of sixth graders who preferred a field trip.
5/8 = x/256
Cross multiply to solve for x:
8x = 5 * 256
8x = 1280
x = 1280/8
x = 160
Therefore, the number of sixth graders who preferred a field trip to the zoo is 160.