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2 years ago

How do you simplify this expression?

Mathematics

1 answer:

seropon [69]2 years ago

5 0

The expression -12 + 3*(-8 + (-4)² - 6) + 2 is equal to -4.

<h3>How to simplify the expression?</h3>

Here we have the expression:

-12 + 3*(-8 + (-4)² - 6) + 2

To simplify this, we need ti start by simplifying the parenthesis.

The first one is:

(-4)² = (-4)*(-4) = 16

Replacing that in the original equation we get:

-12 + 3*(-8 + 16 - 6) + 2

Now we need to simplify the other parenthesis:

-8 + 16 - 6 = -14 + 16 = 2

Replacing that we get:

-12 + 3*(2) + 2

Now we need to solve the products and divisions, so we need to solve the product in the second term:

3*2 = 6

Replacing that we get:

-12 + 6 + 2

Now we just solve that addition to get:

-12 + 6 + 2 = -12 + 8 = -4

We conclude that the expression -12 + 3*(-8 + (-4)² - 6) + 2 is equal to -4.

If you want to learn more about algebraic expressions:

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A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall

Vlad1618 [11]

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : $\mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7$

Standard deviation : $\sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}$

$=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}$

$=\dfrac{30.265}{10}=3.0265$

The confidence interval for the population mean (for sample size <30) is given by :-

$\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given significance level : $\alpha=1-0.95=0.05$

Critical value : $t_{n-1,\alpha/2}=t_{9,0.025}=2.262$

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

$4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)$

Hence, 95% confidence interval for the true mean= (2.54,6.86)

7 0

4 years ago

How do you write .00065 in words?

MakcuM [25]

I have 65 ten thousandths

3 0

3 years ago

Read 2 more answers

Plz answer this question :) Math

arsen [322]

Answer:

B. What is the area of regular polygon

5 0

3 years ago

The ages of Aman and Arun are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present

Viktor [21]

Answer:

Aman's age = 20, Arun's age = 28

Step-by-step explanation:

Let $x$ = Aman's age

Let $y$ = Arun's age

- - - -

$x+4+y+4=56$ (Sum of their age is 56 after 4 years in the future)

$x+y+8=56$

$x+y=48$

$\frac{x}{y} = \frac{5}{7}$ (Ages are in the ratio 5:7)

$x=\frac{5}{7}y$

Now, we can use substitution to find for Arun's age:

$x+y=48$

$\frac{5}{7}y+y=48$

$\frac{12}{7}y=48$

$y=28$

∴ Arun is $28$

To find for Aman's age, we can use substitution:

$x+y=48$

$x+28=48$

$x=20$

∴ Aman is 20

Hope this helps :)

8 0

3 years ago

What is the justification for step 2 in the solution process?12 - x = 7x +32Step 1: -X = 7x + 20Step 2: -8x = 20

HACTEHA [7]

Answer:

The subtraction property of equality

Option A is correct

Explanation:

The given equation is:

12 - x = 7x + 32

Subtract 12 from both sides

12 - 12 - x = 7x + 32 - 12

-x = 7x + 20 (Step 1)

From step 1 above, subtract 7x from both sides

-x - 7x = 7x - 7x + 20

-8x = 20 (Step 2)

Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality

6 0

2 years ago