To solve the equation t² - t = 12 by factoring, you would use

Answer:

ITS NOT A) $56

Step-by-step explanation:

I took the test! GOOD LUCK!

Answer:its c

Step-by-step explanation:

I got the answer wrong and the right answer was c so there yall

B is your answer! All you do for this equation is go oh look m=2/7 well this means y=2/7x and you have a -12 so than you just plug it in. To get y=2/7x-12

The variance for the number of voters who favor the ballot measure in groups of 21 is calculated using the formula for a binomial distribution, which yields an answer of 3.78. The closest option to this value is 3.6, answer option d.

In the question about a town where 22% of voters favor a given ballot measure, we are asked to find the variance for the number of voters who favor the measure in groups of 21 voters. To calculate the variance, we use the formula for the variance of a binomial distribution, which is np(1-p), where 'n' is the number of trials (voters in this case), 'p' is the probability of a voter favoring the measure, and '1-p' is the probability of a voter not favoring the measure.

Using the information provided:

Thus, the variance (Var) is:

Var = np(1-p) = 21 × 0.22 × (1 - 0.22) = 21 × 0.22 × 0.78 = 3.78

The closest answer to 3.78 is 3.6, which is option d.

Variance formula: [tex]\(npq\)[/tex]. Substitute [tex]\(n = 21\), \(p = 0.22\), \(q = 0.78\)[/tex]. Calculate to get variance. Answer: d. 3.6

To find the variance for the number who favor the measure in groups of 21 voters, we can use the binomial distribution formula.

The variance of a binomial distribution is given by [tex]\(npq\)[/tex], where:

- [tex]\(n\)[/tex] is the number of trials (number of voters in each group),

- [tex]\(p\)[/tex] is the probability of success (proportion of voters favoring the measure), and

- [tex]\(q\)[/tex] is the probability of failure (proportion of voters not favoring the measure).

Given:

- [tex]\(n = 21\)[/tex],

- [tex]\(p = 0.22\)[/tex] (22% favor the measure), and

- [tex]\(q = 1 - p = 1 - 0.22 = 0.78\)[/tex],

Let's calculate the variance:

[tex]\[ \text{Variance} = npq = 21 \times 0.22 \times 0.78 \][/tex]

[tex]\[ \text{Variance} = 21 \times 0.1716 \][/tex]

[tex]\[ \text{Variance} = 3.5976 \][/tex]

Rounded to one decimal place, the variance is approximately [tex]\(3.6\)[/tex].

So, the correct answer is d. 3.6.

Option D (5/3) is not another way of expressing 15 out of 25 because it is greater than one and not equivalent to the simplified fraction 3/5, decimal 0.6, or percentage 60% which are all representations of the original fraction.

The student's question asks which of the following expressions is not another way of expressing 15 out of 25 insects being butterflies. To find out, we need to simplify the fraction and convert it into different forms.

Let's begin by simplifying the fraction 15/25. We can divide both the numerator (15) and the denominator (25) by their greatest common divisor, which is 5:

So the fraction reduces to 3/5. Now let's see if the other options given correspond to this fraction:

Therefore, Option D (5/3) is the correct answer because it is not another way of expressing 15 out of 25.

Two or more expressions with an equal sign is called as Equation. If Plan A: Unlimited text, talk, and data for $50 per month. Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes. Then after 150 minutes plan A and plan B are equal.

Two or more expressions with an equal sign is called as Equation.

Given that,

Plan A: Unlimited text, talk, and data for $50 per month.

Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes.

We need to equation plan A and plan B

Plan A= Plan B

50=40+0.20(m-100)

Use distributive property on Right hand side

50=40+0.20m-20

Subtract 20 from 40 on right hand side

50=20+0.20m

Subtract 20 on both sides

30=0.20m

Divide both sides by 0.20

150=m

Hence After 150 minutes of talk Plan A and Plan B are equal.

To learn more on Equation click:

https://brainly.com/question/10413253

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Answer:  Length of tent would be 2.3 meters.

Step-by-step explanation:

Since we have given that

Perimeter of tent = 7.2 meters

Width of tent = 1.3 meters

Since we have given that

Perimeter = 2( length + width)

[tex]7.2=2(Length+1.3)\\\\\dfrac{7.2}{2}=Length+1.3\\\\3.6=Length+1.3\\\\3.6-1.3=Length\\\\2.3\ m=Length[/tex]

Hence, Length of tent would be 2.3 meters.

We are given that:

m∠AOB = m∠AOC + m∠COB

We are also given that:

m∠AOC = m∠COB + 15

m∠AOB = 155

Therefore:

155 = m∠COB + 15 + m∠COB

2 m∠COB = 140

m∠COB = 70°

and,

m∠AOC = m∠COB + 15 = 85°

Answers:

m∠COB = 70°

m∠AOC = 85°

Answer:

9.6

Step-by-step explanation:

It is rational because it has terminating decimal expansiom

The student's question refers to various aspects of marathon running, including physiological processes, muscle fiber types, the effect of footwear on performance, and scientific measurements of marathon results.

The topic touches upon various aspects such as the physiological responses of marathon runners, the biomechanics of running, the influence of different shoe brands on run times, and scientific measurements of performance during a marathon.

For example, marathon runners demonstrate responsiveness and movement, two characteristics of living humans. Anatomic structures and physiological processes play a critical role in coordinating muscle action and managing internal body temperature through sweating. Additionally, the type of muscle fibers, such as slow-twitch fibers, can affect a runner's endurance, as seen in athletes with a high proportion of these fibers.

Another aspect to consider is the impact of footwear on run times. A marathon runner looking into the relationship between shoe brand and performance would examine the data collected from various runners to determine if there's any significant difference.

n=277

Hope this will help!