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aleksandrvk [35]
3 years ago
5

A bar graph titled Time Students Spent Studying with hours on the x-axis and students on the y-axis. 3 students spent 0 to 59 mi

nutes, 5 students spent 1 to 1 hour and 59 minutes, 7 students spent 2 to 2 hours and 59 minutes, 4 students spent 3 to 3 hours and 59 minutes, and 1 student spent 4 to 4 hours and 59 minutes.
Use the drop-down menus to answer the questions.
What do the numbers on the left, or y-axis, represent?
How many students spent 2 or more hours studying?
How many students spent fewer than 2 hours a night studying?

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

(1) <em>Y</em>-axis: number of students who spends respective hours studying.

(2) The number of students who spent 2 or more hours studying is 12.

(3) The number of students who spent fewer than 2 hours a night studying is 8.

Step-by-step explanation:

Consider the Frequency table and Histogram provided below.

(1)

The <em>y</em>-axis of the histogram represents the frequencies or the number of students who spends respective hours studying.

(2)

Compute the number of students who spent 2 or more hours studying as follows:

N (X ≥ 2) = n (X = 2 - 2:59) + n (X = 3 - 3:59) + n (X = 4 - 4:59)

               =7+4+1\\=12

Thus, the number of students who spent 2 or more hours studying is 12.

(3)

Compute the number of students who spent fewer than 2 hours a night studying as follows:

N (X < 2) = n (0 - 0:59) + n (1 - 1:59)

              =3+5\\=8

Thus, the number of students who spent fewer than 2 hours a night studying is 8.

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6 0
3 years ago
Solve the absolute value equation. | 4 - 8x | = 40 Select the correct choice below and fill in any answer boxes in your choice.
Step2247 [10]

Answer:

A. x = 5,5 , -4,5 are the TWO SOLUTIONS of | 4 - 8 x |   = 40

Step-by-step explanation:

Here, the given expression is: | 4 - 8 x | = 40

Now, here firstly we need the find the range where (4-8 x) is NEGATIVE and where (4-8x) is POSITIVE.

To find CRITICAL POINT, put (4-8 x) = 0

⇒ 4 = 8x  or x  = 4/8 = 1/2

⇒ x  = 1/2 is the CRITICAL POINT.

CASE - 1   : For  x  > 1/2, ( 4-8x) < 0    ( negative)

⇒ for x > 1/2   ,  | 4 - 8 x |   = 40 is  -(4- 8x)  = 40    ( for a < 0, IaI = -a)

or, -4 + 8 x  = 40

or, 8 x = 44 , or x  =  44/8 = 5.5

⇒ for x > 1/2, x  = 5.5 is the solution of  | 4 - 8 x |   = 40

CASE - 1   : For  x  ≤ 1/2, ( 4- 8 x) ≥ 0     ( positive)

⇒ for x ≤ 1/2   ,  | 4 - 8 x |   = 40 is (4- 8x)  = 40  ( for a > 0, IaI = a)

or, 4 -  8 x  = 40

or, 8 x =4 - 40 , or  8 x  = -36   or, x = -36/8 = -4.5

⇒ for x ≤ 1/2, x  = -4.5 is the solution of  | 4 - 8 x |   = 40

Hence, x = 5,5 , -4,5 are the TWO POSSIBLE SOLUTIONS of | 4 - 8 x |   = 40

5 0
3 years ago
Which expressions are equivalent to the expression 7(5 + m) – 8? Check all that apply. 7m + 27 34m 35 + m – 8 35 + 7m – 8 75 + m
neonofarm [45]

7(5 + m) - 8 is equivalent to 35 + 7m - 8.

7(5+m)-8, multiply 7 with 5 and m and you get 35 + 7m - 8 which is also equal to 27 - 7m.

//Hope this helps.

8 0
4 years ago
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lianna [129]
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8 0
3 years ago
Using the least number of coins how many quarters, dimes, nickels, and pennies to make $1.74
SpyIntel [72]

Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.

  • 1.74/0.25 = 6.96
  • The most quarters that can fit into $1.74 is 6.

---Multiply $0.25 by 6 = $1.50

---Subtract $1.50 from $1.74 = $0.24

---We need to use the rest of the coins to fill up $0.24.

Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.

  • 0.24/0.10 = 2.4
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---Multiply $0.10 by 2 = $0.20

---Subtract $0.20 from $0.24 = $0.04

No nickels can fit into $0.04, because they are worth $0.05.

We can use our least amount (pennies) to fill in the $0.04 remaining.

Your answer is 6 quarters, 2 dimes, and 4 pennies.

4 0
3 years ago
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