A sample of 800 computer chips revealed that 57% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 62% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.02 level.

Answer:

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^½. In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.For the denominator, that deals with the radical. The index, to be exact. The index describes what kind of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3).^^^Exponential fractions still follow the same rules of simplifying, so...

x^2/4 = x^1/2 = sqrt(x)

Step-by-step explanation:

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2

Now, how to go about doing this:

In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:

x^6/5 = Fifth root of x^6

x^3/1 = x^3

^^^Exponential fractions still follow the same rules of simplifying, so...

x^2/4 = x^1/2 = sqrt(x)

Answer:

it's not possible i any ways

square root of negetive numbers is not possible

Step-by-step explanation:

hope it helps you

Answer:

Like all non-zero numbers, −1 has two square roots, which we call i and −i

so its i

Answer:

Step-by-step explanation:

You can do nothing more than just write the ordered pairs.

(1,0)

(-1.5,0)

(-3.75,0)

Answer:

from tjwuxrsnsu hshwjdysgw ehsshejisgwnd jrsysjsgshd

Answer:

Step-by-step explanation:

The unit rate is same as the slope:

Compare with the answer choices:

Answer:

B. $4,000.

Step-by-step explanation:

Answer:

You cannot give away more than you have. You have no pie left.

Step-by-step explanation:

1/4 - 5/8

Multiply 1/4 by 2 to get a common denominator in order to subtract.

2/8 - 5/8

= -3/8

You can't have -3/8 of a pie.

Therefore, you have no pie left.

cacacacacacas

⇆⇆⇄πβ≅≅ΔΔΔ

yes

Answer:

white

4 were sold

3 more gray were sold than white

3 colors sold 10 or more

Answer:

a) White

b) 3

c) 3

Step-by-step explanation:

a) White as it is the shortest bar (has the lowest height and only has 4 t-shirts sold)

b) According to the bar graph, 7 grey t-shirts were sold and 4 white t-shirts were sold. Subtracting 4 from 7 = 7-4 = 3

Hence, 3

c) At least 10 T-shirts sold, suggests that it was greater than or equal to 10. According to the graph, black has 12, tan has 11, and brown has 10. Hence,

3 colors had at least 10 t-shirts sold.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Feel free to mark this as brainliest!

Answer:

85.4

Step-by-step explanation:

Step-by-step explanation:

the answer is the image above

Answer:

x=3  and x=7

Step-by-step explanation:

x2 - 10x + 21=0

a=1, B=-10, c=21

delta= b2 - 4(ac)

if delta >0 => have two answer

x1= -b - _/delta / 2a = -(-10) - _/16 / 2.1 = 3

x2= -b + _/delta /2a = -(-10) + _/16 / 2.1= 7

a. The product of 5 and the sum of a number and 8

Product means multiplied, so that means 5 multiplied by some number plus 8, thus, 5(x+8)

b. A number less than 12

12-x would equal less than

c. The product of five and a number divided by 2

Again, product means multiplied, so its saying 5 times something, all divided by 2, thus, 5x/2

Please give brainliest :) hope this helps!

Answer:

A number less than twelve = 12 - x = b

The product of five and a number divided by two = 5x/2 = c

The product of five and the sum of a  number and eight = 5(x+8) = a

Step-by-step explanation:

A number less than twelve

12 minus a number

12 - x

The product of five and a number divided by two

A number times 5 divided by 2

5x/2

The product of five and the sum of a  number and eight

A number plus 8 times 5

(x+8)*5

5(x+8)

Answer:

plz explain simplier

Step-by-step explanation:

Answer:

domain is the set of numbers you can use for x

Step-by-step explanation:

log_4(x+3)=y means

I mean it translates to

4^y=x+3

remember that x^m≥0 for all real values of x and m

it actually can equal 0 only when x=0 or when x is very small

so

therefor since 4^y>0, x+3>0 as well

solving we get

x>-3

all real numbers greater than -3

2nd option

Answer:

x = 2.35

Step-by-step explanation:

Answer:

2.35 for K12

Step-by-step explanation:

Step-by-step explanation:

21. x² - 4x - 5 > 0

→ (x - 5) (x - 1) > 0

{x - 5 > 0

{x + 1 > 0

{x - 5 < 0

{x + 1 < 0

{x > 5

{x > -1

{x < 5

{x < -1

= x < -1 or x > 5

therefore, option A is correct

22). 4p² - 1 ≤ 0

(2p - 1) (2p + 1) ≤ 0

{2p - 1 ≤ 0

{2p + 1 ≥ 0

{2p - 1 ≥ 0

{2p + 1 ≤ 0

{p ≤ 1/2

{p ≥ -1/2

{p ≥ 1/2

{p ≤ -1/2

1/2 ≤ p ≤ 1/2

{p ≥ 1/2

{p ≤ -1/2

-1/2 ≤ p ≤ 1/2

therefore, option A is correct.

23). y < 3x² + 3x - 6

3x² + 3x - 6 = 0

3x² + 6x - 3x - 6 = 0

3x(x +2) - 3(x +2) = 0

(x +2) (3) (-3) = 0

x = -2, 1

this is the correct ans. but their is no option similar to it.

25. x and y are root of

m² - 11m + 18 = 0

hence, x + y = 11

xy = 18

2xy = 36

now, x² + y²

= (x +y)² - 2xy

= (11)² - 36

= 121 - 36

= 85

therefore, option A is correct.

26. x² - 2x - 120

(x -1)² - 1 - 1² = 0

(x -1)² = 1 + 1²

x - 1² = 2

x - 1 = ±√2

1 ± √2

therefore, option A is correct.

hope this answer helps you dear..take care!

Answer:

Step-by-step explanation:

21) x² - 4x - 5 > 0

x² - x + 5x - 5 > 0

x(x - 1) + 5(x - 1) > 0

(x - 1) (x + 5) > 0

x - 1 >0   or  x + 5 > 0

x > 1       or  x > - 5    Ans: D

22)  4p² ≤ 1

p² ≤ 1/4

p ≤ 1/2  or  p ≥ -1/2

-1/2  ≥ p ≤ 1/2

23)y < 3x² + 3x - 6

(1 , -7)

x = 1  and y = -7

-7 < 3*1 + 3*1 - 6

-7 < 3 + 3 - 6

-7 < 0

(1 , -7) satisfies the equation.

Option b

24) 5x² - 7x = 0

a = 5  ; b = -7  ;c = 0

Discriminant = b² - 4ac =  49 - 0 = 0

[tex]x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}\\\\x = \dfrac{7+\sqrt{49}}{10} ; \dfrac{7-\sqrt{49}}{10}\\\\x = \dfrac{7+7}{10};\dfrac{7-7}{10}\\\\x =\dfrac{14}{10} ; 0\\\\x = \dfrac{7}{5}; 0[/tex]

x = 0 ; x = 7/5  Option a)

25) m² - 11 m + 18 = 0

m² - 2m - 9m + (-9)*(-2) = 0

m(m - 2) - 9(m - 2) = 0

(m - 2)(m - 9) = 0

m = 2 , 9

x = 2 and y =9

x² + y² = 2² + 9² = 4 + 81 = 85   Option a)

26) x² - 2x - 1 = 0

Add the constant 1 to both sides

x² - 2x = 1

Divide the coefficient of x by 2.  2/2 = 1. Now add this 1 to both sides of the equation.

x² - 2x  + 1  = 1+1

x² - 2x + 1 = 2

(x - 1)² = 2

Take square root

x - 1 = ±√2

x  = 1 ± √2    Option a)

Answer:

the answer is 300

Step-by-step explanation:

Answer:

Last option

Step-by-step explanation:

[tex]-2(z + 3) - z = x - 4(z + 2)[/tex]

[tex]x = -2(z + 3) - z + 4(z + 2)[/tex]

[tex]x = -2z - 6 - z + 4z + 8[/tex]

[tex]x = z + 2[/tex]

Answer:

Answer: A

Step-by-step explanation:

Ants love to eat Whales. You learn something new everyday! :)

Answer:

285

Step-by-step explanation:

assuming youre saying 1265 = 660 + 325 + g

Answer:

27,28 and 29

Step-by-step explanation:

10*a = a+1+a+2+213

10a - 2a = 216

8a = 216

a = 27

27, 28, and 29

Answer:

.0833 or 83.3333

Step-by-step explanation:

1/12=.0833

The probability of number greater than [tex]12[/tex] is zero.

Probability is the ratio of number of favorable outcome to the total number of outcome.

We have,

Total number of outcome [tex]=12[/tex]

And number of greater than [tex]12[/tex]  [tex]=0[/tex]

So,

Probability [tex]=\frac{Number\ > \ 12}{Total\ number}[/tex]

                   [tex]=\frac{0}{12}[/tex]

Probability [tex]=0[/tex]

A probability of [tex]0[/tex] means that the event will not happen.

Hence, we can say that the probability of number of greater than [tex]12[/tex] is zero.

To know more about Probability click here

https://brainly.com/question/11234923

#SPJ3

Answer:

square root

Step-by-step explanation: i think this is right but please tell me if it is wrong

Answer:

False

Step-by-step explanation:

-24-(-18) is -6 not 6 so it would be untrue

Answer:

Step-by-step explanation:

x - 3y = 4

x - 3(-3) = 4

x + 9 = 4

x = -5

(-5, -3)

-11 - 3y = 4

    - 3y = 15

        y = -5

(-11, -5)

I don't see how (0, -3) could be a solution to the equation.

Answer:

23/36

Step-by-step explanation:

use BODMAS

fist add 3/4+2/3

to get 17/12

then subtract 17/12-7/9

to get 23/36

Answer:

Below in bold.

Step-by-step explanation:

y = 40 degrees ( opposite angles)

The triangle on the left is isosceles so

2x + 2x + 40 = 180

4x = 140

x = 35 degrees.

Answer:

A?

Step-by-step explanation: