marquis cut a 33 inch roll of wire into 7 equal sized pieces for a science experiment WHAT is th3 length of each piece of wire

Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:

Effectus [21]

Answer: The factorization of $28+56t+28w$ $=28(1+2t+w)$

The factors of $28+56t+28w$ are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : $28+56t+28w$

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

$28+2\times28t+28w$

Now, taking 28 as common from all the terms, we will get

$28(1+2t+w)$

Thus, the factorization of $28+56t+28w$ $=28(1+2t+w)$

And the factors of $28+56t+28w$ are 28 and 1+2t+w.

6 0

2 years ago

Write the next three terms of the arithmetic sequence.

JulijaS [17]

The next three terms are: 1/6 , 0 and -1/6

Step-by-step explanation:

Given sequence is:

$\frac{5}{6} , \frac{2}{3} ,\frac{1}{2}, \frac{1}{3} ...$

First of all, we have to find the common difference

$here\\a_1 = \frac{5}{6}\\a_2 = \frac{2}{3}\\a_3 = \frac{1}{2}\\a_4 = \frac{1}{3}\\d = a_2-a_1 = \frac{2}{3} -\frac{5}{6} = \frac{4-5}{6} = -\frac{1}{6}\\d = a_3 - a_2 = \frac{1}{2} - \frac{2}{3} = \frac{3-4}{6} = =\frac{1}{6}$

The common difference is -1/6

We can simply add -1/6 to the previous term to find the next terms so,

Adding -1/6 to 1/3

$\frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}\\\frac{1}{6} - \frac{1}{6} = 0\\0-\frac{1}{6} = -\frac{1}{6}$

Hence,

The next three terms are: 1/6 , 0 and -1/6

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

Various studies indicate that approximately 11% of the world's population is left handed. You think this number is actually high

Irina-Kira [14]

Answer:

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

d. z= 1.3322

Step-by-step explanation:

We formulate our hypothesis as

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

According to the given conditions

p`= 31/225= 0.1378

np`= 225 > 5

n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5

p = 0.4 x= 31 and n 225

c. Using the test statistic

z= p`- p / √pq/n

d. Putting the values

z= 0.1378- 0.11/ √0.11*0.89/225

z= 0.1378- 0.11/ √0.0979/225

z= 0.1378- 0.11/ 0.02085

z= 1.3322

at 5% significance level the z- value is ± 1.645 for one tailed test

The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.

The rejection region is attached.

The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.

which appears to be 0.95 and subtracting from 1 gives 0.04998

8 0

3 years ago

Sung loo worked 54 hours during a special sale at the store. 10 hours was time and a half, and 4 hours were at double time. Her

DanielleElmas [232]

Answer:

$432.18

Step-by-step explanation:

Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour

Double time = 2*6.86 = $13.72 per hour

Rest of the time => At regular rate

Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)

= 10(10.29) + 4(13.72) + (40)(6.86)

= $ 432.18

6 0

2 years ago

Read 2 more answers

HELP PLEASE ASAP MATH!!!!!

ArbitrLikvidat [17]

First answer is correct because angles DAB and EAD equal 180 degrees (supplementary)

6 0

3 years ago

marquis cut a 33 inch roll of wire into 7 equal sized pieces for a science experiment WHAT is th3 length of each piece of wire​

marquis cut a 33 inch roll of wire into 7 equal sized pieces for a science experiment WHAT is th3 length of each piece of wire