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ruslelena [56]
2 years ago
3

Combine like terms in the expression -5x + 2y + 5x – 8y.

Mathematics
2 answers:
butalik [34]2 years ago
5 0

Answer:

<h2>-5x + 2y + 5x - 8y = -6y</h2>

Step-by-step explanation:

Like terms are terms whose variables (and their exponents) are the same.

-5x+2y+5x-8y

We have the terms:

-5x;\ 2y;\ 5x;\ -8y

Like terms:

-5x\ \text{and}\ 5x,\ 2y\ \text{and}\ -8y

Combine like terms:

(-5x+5x)+(2y-8y)=0x+(-6y)=-6y

Maksim231197 [3]2 years ago
4 0

Answer:

-6y

Step-by-step explanation:

the -5x and 5x cancel each other out, then the 2y and -8y become -6y.

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Arthur is conducting a study on the preferred study options of students from East County College. He randomly selected 32 studen
maksim [4K]
The sample size of the confidence interval test of a proportion is considered appropriately large if np and n(1 - p) > 5.

<span>Given that Arthur is conducting a study on the preferred study options of students from East County College and that 25% of those surveyed preferred studying abroad. Thus, p = 25% = 0.25 and 1 - 0.25 = 0.75

np = 32(0.25) = 8

n(1 - p) = 32(0.75) = 24

Thus, the sample size is appropriately large.

The margin of error is given by:

</span>\pm z_{ \alpha /2} \sqrt{ \frac{p(1-p)}{n} }
<span>
The </span>z_{ \alpha /2} for 95% confidence interval is 1.96

Thus, the margin of error is given by:

\pm1.96 \sqrt{ \frac{0.25(1-0.25)}{32} } =\pm1.96 \sqrt{\frac{0.25(0.75)}{32}}  \\  \\ =\pm1.96 \sqrt{ \frac{0.1875}{32} } =\pm1.96 \sqrt{0.005859375}  \\  \\ =\pm1.96(0.0765)=\pm0.15

Therefore, the statement that holds true is "a<span>s the sample size is appropriately large, the margin of error is ±0.15".</span>
8 0
2 years ago
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
Katarina [22]

Answer:

2x+178\geq 2000

Step-by-step explanation:

Let, the number of cans collected by Shane = x.

So, the number of cans collected by Abha = x + 178.

Since, at least 2000 cans are required to be collected.

Thus, we have the inequality,

Number of cans by Shane + Number of cans by Abha ≥ 2000.

i.e. x+(x+178)\geq 2000

i.e. 2x+178\geq 2000

Thus, the required inequality is 2x+178\geq 2000.

4 0
2 years ago
Ben Spender writes a $60 check which is retumed by his bank with additional charges. The company he wrote the
pshichka [43]

Answer:

$80

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
I NEED HELP ON THIS SO BAD I WILL GIVE CROWN FOR ANSWER
Murljashka [212]

Answer: do 150ml*15 tubes is 2,250 ml

2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)

7 0
2 years ago
paloma eats 2/8 of an apple in the morning and 3/8 more in the afternoon. how much of an apple did she eat in total
marishachu [46]

Step-by-step explanation:

in this problem, we are solving for the amount of apple that Paloma eats

1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find  

  that remainder

2. she also ate 3/8 of the remainder for lunch

3. we then proceed to calculate all apple she ate in total

1. \frac{2}{8} *1= \frac{1}{4} \\\\1-\frac{1}{4}= \frac{4-1}{4}  = \frac{3}{4}

2 she ate 3/8 of the remaining 3/4 apple

1. \frac{3}{8} *\frac{3}{4} = \frac{9}{32}

3. in  total she ate 1/4+ 9/32

\frac{1}{4} +\frac{9}{32} = \frac{8+9}{32} = \frac{17}{32}

6 0
2 years ago
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