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3 years ago

Is 1/3 a rational number? can rational numbers be negative

1 answer:

3 0

1/3 is a rational number and rational number’s can be negative. explanation: a rational number is any number, positive or negative, that can be written as a fraction

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A lines y-intercept is -4, and it's slope is 2. what is its equation in slope-intercept form?

borishaifa [10]

Answer:

2x-4

Step-by-step explanation:

2x-4

mx+b format

3 0

3 years ago

Emma is 10 years old. She asked her father how old he was. Her father answered: "When you will be my age, I will be 70." How old

Svetradugi [14.3K]

Answer:

Emmas father would be 40 years old

Step-by-step explanation:

if the father is 40 years old right now emma will be his age in 30 years.

in 30 years emma will be as old as he was when she was ten (10+30=40)

after the 30 years emmas father who was once 40 years when she asked how old he was would be 70 years old (30+40=70)

4 0

3 years ago

Read 2 more answers

Thirteen students are making a big batch of slime using a beaker,glue, and tide.They each need 12.25 cups of glue and 10.5 cups

natima [27]

Answer:

162.5 c glue

136.5 c tide

Total: 299 c

Step-by-step explanation:

12.25 x 13 = 162.5

10.5 x 13 = 136.5

162.5+136.5=299

3 0

3 years ago

If a multiple choice test consists of questions, each of which with of which only 1 is correct, (a) in how many different way

oksian1 [2.3K]

Answer:

Step-by-step explanation:

From the given information.

suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:

So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.

Thus, the students can check off one answer to each question in $4^5 \ different \ ways$

= 4 × 34 × 4 × 4 × 4

= 1024 different ways.

From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.

Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵

= 3 × 3 × 3 × 3 × 3

= 243 ways

3 0

3 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

podryga [215]

Answer:

The value is $n = 384$

The correct option is a

Step-by-step explanation:

From the question we are told that

The margin of error is E = 0.05

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally since the sample proportion is not given we will assume it to be

$\^ p = 0.5$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)$

=> $n = 384$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

Generally if the level of confidence increases, the critical value of $\frac{\alpha }{2}$ increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also

So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0

3 years ago