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3 years ago

How can you show that two objects are proportional with an equation

1 answer:

8 0

You can show that (y) is proportional to (x) by writing:

This would mean that:

Whereby (k) would be the constant of proportionality.

This value can be an element of a real number.

k∈R

What are real numbers?

Integers, rational numbers and irrational numbers.

Example of a graph which would show that 2 objects are proportional:

y=2x

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A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu

iVinArrow [24]

Answer:

$-0.061 < P_1 -P_2< 0.025$

Step-by-step explanation:

Give data:

$n_1 = 350$

$n_2 =250$

$x_1 = 23$

$x_2 = 21$

$\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066$

$\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084$

for 95% confidence interval

$\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025$

$z_{\alpha/2} = 1.96$ from standard z- table

confidence interval for P_1 and P_2 is

$\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}$

$(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}$

$-0.018 \pm 0.043$

confidence interval is

$-0.018 - 0.043 < P_1 -P_2$

$-0.061 < P_1 -P_2< 0.025$

7 0

2 years ago

You have driving lessons every third day in swimming lessons every fifth day today you have both classes how many days will you

hjlf

To find the answer, you need to find the LCM of 3 and 5. It's 15, meaning that every 15 days, you will have both lessons on the same day. Have an awesome day! :)

8 0

2 years ago

Visual learning, local learners ,physical learners and auditory learners how can you use this information to help you success ma

Lina20 [59]

All of these are different methods of learning math. Visually, you can see graphs, charts, and geometric figures to help you learn. I'm not sure what a 'local learner' is. Physical learners can learn better by holding geometric figures, drawing graphs, etc. Auditory learners may learn best by listening to a teacher's lecture.

If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one, as well as to move up in rank! :)

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2 years ago

Kylee frove 131.5 miles on Monday. On Tuesday she had to drive 213.27 miles. How much farther did she drive on Tuesday than on M

salantis [7]

Kylee drove 81.77 more miles on Tuesday.

8 0

3 years ago

The residence of a city voted on whether to raise property taxes the ratio of yes to no votes was 2 to 3 is there were 4795 tota

Vinvika [58]

Answer: The number of yes votes = 1918.

Step-by-step explanation:

Given : The ratio of yes to no votes = 2:3