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grandymaker [24]
3 years ago
9

What are the domain and range of this function?

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

D x is all real numbers

R y ≥ -3

Step-by-step explanation:

The domain is the values that x can take

The domain is all real numbers

The range is the values that y can take

The range is y is greater than or equal to -3

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If (x – 2k) is a factor of f(x), which of the following must be true? f(2k) = 0 f(–2k) = 0 A root of f(x) is x = –2k. A y interc
Ronch [10]

Answer:

f(2k0=0

Step-by-step explanation:

answer a

6 0
3 years ago
Cathy rolls a number cube that is labeled from 1 to 6.
MatroZZZ [7]

Answer: 2/3

Cathy rolls a number cube that is labeled from 1 to 6.

Total outcomes = {1,2,3,4,5,6}

she rolls an even number or a multiple of 3

Outcomes of an even number = {2,4,6}

Outcomes of multiple of 3 = {3,6}

so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}

Probability ( any event) =number of favorable outcomes divide by total  number of outcomes

probability(even number or a multiple of 3) = \frac{4}{6}=\frac{2}{3}

7 0
3 years ago
120-2x=30, what’s x?
KiRa [710]

Step-by-step explanation:

-2x=30-120

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=x = -90/-2

=x = +45

4 0
3 years ago
Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
irga5000 [103]

Answer

a= -6

Step-by-step explanation:

-2(a-3)=12

1.) -2(a)= -2a

2) -2(-3)= 6

3)  -2a+6=12

          -6    -6

4) -2a/-2 = 12/-2

a = -6

3 0
3 years ago
Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering
Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0
2 years ago
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