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snow_tiger [21]
3 years ago
12

1 — 3 (9x + 3) = 3x + 1

Mathematics
2 answers:
sesenic [268]3 years ago
7 0

Step-by-step explanation:

please mark me as brainlest

Hatshy [7]3 years ago
3 0

Answer: x = -0.3

Step-by-step explanation:

<u>Given expression</u>

1 - 3 (9x + 3) = 3x + 1

<u>Expand parentheses and apply the distributive property</u>

1 - 27x - 9 = 3x + 1

<u>Combine like terms</u>

(1 - 9) - 27x = 3x + 1

-8 - 27x = 3x + 1

<u>Subtract 3x on both sides</u>

-8 - 27x - 3x = 3x + 1 - 3x

-8 - 30x = 1

<u>Add 8 on both sides</u>

-8 - 30x + 8 = 1 + 8

-30x = 9

<u>Divide - 30 on both sides</u>

(-30)x / (-30) = 9 / (-30)

(-30)x / (-30) = 3 / (-10)

\boxed{x=-0.3}

Hope this helps!! :)

Please let me know if you have any questions

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Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit
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Answer:

Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = <u><em>proportion of people who write with their left hand</em></u>

So, Null Hypothesis, H_0 : p = 0.22     {means that the proportion of people who write with their left hand is equal to 0.22}

Alternate Hypothesis, H_A : p \neq 0.22      {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

4 0
3 years ago
A textbook has 428 numbered pages, starting with 1.
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Answer:

1/428 or 0.00233644859% chance

Step-by-step explanation:

Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!

5 0
2 years ago
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Write a linear equation in slope intercept form to model a tree 4 feet tall the grows 3 inches per year
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The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people
vladimir2022 [97]

<u>Question</u>:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

<u>Answer</u>:

A )95 students  and 5 teachers

B)266 students  and 14 teachers

C)418 students  and 22 teachers

D)722 students  and 38 teachers

<u>Step-by-step explanation:</u>

<u><em>A: 100 people</em></u>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{100}{20}

scale factor  = 5

The number students is 19 \times 5 = 95

The number of teachers is 1 \times 5 = 5

<em><u>b. 280 people </u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{280}{20}

scale factor  = 14

The number students is 19 \times 14 = 266

The number of teachers is 1 \times 14 =  14

<em><u>c.440 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{440}{20}

scale factor  = 22

The number students is 19 \times 22 = 418

The number of teachers is 1 \times 22 =  22

<em><u>d.760 people</u></em>

Ratio  =  19  :  1

The sum of the ratio is 19 + 1 = 20

Scale factor  = \frac{760}{20}

scale factor  = 38

The number students is 19 \times 38 = 722

The number of teachers is 1 \times 38 =  38

5 0
3 years ago
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