Find the equation of the line <br> Use exact numbers <br><br> Thank you in advance!

MAY SOMEONE PLEASE HELP ME!??

svetlana [45]

1) Option C is correct

2) Option B is correct

Step-by-step explanation:

Question no 1:

We need to find the constant of proportionality

The constant of proportionality can be found by using the formula y/x = k, where k is the constant of proportionality.

Finding k:

x = Hot pepper corn

y = chedder corn

So, y/x = 10/4 = 2.5

y/x = 20/8 = 2.5

y/x= 30/12= 2.5

So, Constant of proportionality is k = 2.5

Hence Option C is correct.

Question No 2

Every female rabbit has 5 baby rabbits. We need to find ratio of baby rabbits to female rabbits.

Baby rabbits = 5

female rabbits = 1

Ratio of baby rabbits to female rabbits: 5: 1 or 5/1 = 5

So, ratio of baby rabbits to female rabbits is 5

Option B is correct.

Keywords: ratio and direct proportion

Learn more about Ratio and direct proportion at:

#learnwithBrainly

3 0

3 years ago

The fifth grade has 152 students. Each student has 18 pencils. How many pencils do the students have altogether? ( and how did y

timurjin [86]

You're given that there's 152 students. Each student has 18 pencils. All you have to do is multiply 152 students x 18 pencils/student, to get 2,736 pencils.

4 0

3 years ago

a company promises to release model every month. each model's battery life will be 6% longer than the previous model's. if the c

Ratling [72]

The number of months that it will take the latest model's battery life to reach 1,008.9 minutes is; 8 months

<h3>How to solve geometric progression?</h3>

Each month, there is an increase by a factor of 0.06 of the previous months model.

From geometric sequence formula of aₙ = ar^(n - 1),

where;

a is first term

r is common ratio

aₙ is nth term

we have;

1,008.9 = 671 * 1.06^(n - 1)

1008.9/671 = 1.06^(n - 1)

In 1.504 = (n - 1) In 1.06

0.408 = (n - 1) * 0.058

n - 1 = 0.408/0.058

n = 7.03 + 1

n ≈ 8 months

Read more about geometric sequence at; brainly.com/question/24643676

#SPJ1

5 0

1 year ago

Consider the question of whether the home team wins more than half of its games in the National Basketball Association. Suppose

spayn [35]

Answer:

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

The home team therefore wins 50% of its games

This means that $p = 0.5$

Determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games

Sample of 80 means that $n = 80$ and, by the Central Limit Theorem:

$\mu = p = 0.65$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5*0.5}{80}} = 0.0559$

This probability is 1 subtracted by the pvalue of Z when X = 0.65. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.65 - 0.5}{0.0559}$

$Z = 2.68$

$Z = 2.68$ has a pvalue of 0.9963

1 - 0.9963 = 0.0037

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

7 0

2 years ago

Will give brainliest!!

Inessa05 [86]

It’s actually B Bc the little 1 by the 10 is meaning that you are gonna multiply 10x10 one time. Then multiply by 7. 10x10=100 100x7=700 so there for your answer is B

4 0

2 years ago

Find the equation of the line Use exact numbers Thank you in advance!