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pogonyaev
3 years ago
12

Help me with this please

Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

The first one is a function because, for each x-value (domain value) there is exactly one y-value (range value).

The second one is not a function because, not each x-value (domain value) has exactly one y-value (range value). The domain value of 5 has two range values of 13 and 9.

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Suppose that $3$ is a factor of $a$, $a$ is a divisor of $12$, and $a$ is positive. What is the number of possible values of $a$
antiseptic1488 [7]

If a is a divisor of 12, then

a \in \{-12, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, 12\}

If 3 is a factor (i.e. divisor) of a, then a can only be one of the elements of this set that are multiples of 3, so

a \in \{-12, -6, -3, 3, 6, 12\}

But a is positive, so there are 3 possible values a can have.

8 0
1 year ago
I NEED FAST HELP!!!!!!!!!!!!!!!!!!!
Sindrei [870]

Answer:

The student is expected to spend <em>15.4 hours </em>doing homework

Step-by-step explanation:

The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below

To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)

The equation of a line, given two points (a,b) and (c,d) is

\displaystyle y-b=\frac{d-b}{c-a}(x-a)

Using the selected points

\displaystyle y-4=\frac{25-4}{4-28}(x-28)

Simplifying and computing results, the equation is

\displaystyle y=-\frac{7}{8}x+\frac{57}{2}

Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV

\displaystyle y=-\frac{7}{8}(15)+\frac{57}{2}=15.4 hours

So the student is expected to spend 15.4 hours doing homework

7 0
3 years ago
PLEASEEEE HELPPP MEEE WITHHH THISS QUESTIONN PLEASEEE!!!!<br> I NEED A GREAT EXPLANATION PLEASEE!!!!
ipn [44]

The diagonal of a rhombus divides it into two congruent isosceles triangles.

So ∠CBD ≅ ∠CDB

∠CBD + ∠CDB + 68 = 180

2∠CBD = 180 - 68 = 112

∠CBD = 56

We also have

∠BDE + ∠E + ∠DBE = 180

∠DBE = 180 - 73 - 36 = 71

∠EBC = ∠EBD - ∠CBD = 71 - 56 = 15

Answer: ∠EBC = 15 degrees

4 0
3 years ago
What is the volume of this prism?
Alex73 [517]

Answer:

47.7

Step-by-step explanation:

length x width x height

6 x 3 x 2.65

5 0
2 years ago
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s
Radda [10]

Answer:

68%

Step-by-step explanation:

The Standard Deviation Rule = Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question,

Step 1

We have to find the number of Standard deviation from the mean. This is represented as x in the formula

μ = Mean = 61

σ = Standard Deviation = 8

For x = 53

μ - xσ

53 = 61 - 8x

8x = 61 - 53

8x = 8

x = 8/8

x = 1

For x = 69

μ + xσ

69 = 61 + 8x

8x = 69 - 61

8x = 8

x = 8/8

x = 1

This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%

3 0
2 years ago
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