uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?

The correct compound inequality which represents the given statement is -6 < x < 6.

Compound inequalities are inequalities which are formed by combining two simple inequalities.

For example, 3 < x < 6 is a compound inequality which is a combination of x > 3 and x < 6.

Given statement is,

All real numbers that are greater than -6 but less than 6.

Let x represents the numbers satisfying the inequality.

All real numbers greater than -6 can be expressed as x > -6.

All real numbers that are less than 6 can be expressed as x < 6.

These two inequalities has to be combined.

x > -6 and x < 6

-6 < x < 6, which is the compound inequality.

Hence the compound inequality is -6 < x < 6.

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Answer:

1st triangle and 4th triangle

x = 1 + √ 55 , 1 − √ 55 or

x = 8.41619848 , − 6.41619848

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

Answer:

-2x² - 5x + 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

(-10x² + 9) + (8x² - 5x + 7)

Step 2: Simplify

Answer:

2x+57=y is the answer

Step-by-step explanation:

x is the days and y is the finale temp while the 57 is the starting point

2 L + 2 W = 580

W = L - 30

2( L - 30) + 2 L =580

2L - 60 + 2 L =580

4 L = 640

L = 160

W = 160-30= 130

160 × 2 + 130 × 2 = 580

Answer:

36q^6

Step-by-step explanation:

First, use the distributive property and so you would have 6²q^6. Then you would solve 6² which is 36. Lastly, the answer will be 36q^6. Explaining is my weakness and I tried to help.

9514 1404 393

Answer:

  2 + 5i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]

__

In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.

Answer:

s＝65

Step-by-step explanation:

T to S is 180

180－115=65

A.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Common Factors: 1, 2, 3, 4, 6, and 12

-----

B.

Factors of 16: 1, 2, 4, 8, and 16.

Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56

Common Factors: 1, 2, 4,  and 8

-----

C.

Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30.

Factors of 75: 1 , 3 , 5 , 15 , 25 and 75

Common Factors: 1, 3, 5, and 15.

-----

D.

Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Common Factors: 1, 2, 3, 6, 9, and 18.

-----

E.

Whenever finding the greatest common factors of any pair of numbers it is necessary to list all the factors of each number. Then find the number that appears in both!

Answer: 12

Step-by-step explanation: I did the math

figure #1

smaller part

4x7x2= 56m

larger part

4x3x7= 84m

84+56= 140m³

figure #2

smaller part

2x4x3= 24m

larger part

4x4x12= 192m

192+24= 216in³

Answer:

3 is 140i think 4 is 396 (sorry if im wrong about 4)

Step-by-step explanation:

Answer:

uhh which 1

Step-by-step explanation:

The expressions are simplified and factored in as below.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The expressions are simplified as,

1.

5x + 3x

= 8x

2.

2x + x

= 3x

3.

6x + 8x

= 14x

4.

9x + 3x

= 12x

5.

7x + 4x

= 11x

6.

10x + x

= 11x

7.

3x + 2 + 4x

= 7x + 2

8.

15x + 3 + x

= 16x + 3

9.

2x + 5 + 6x

= 8x + 5

10.

7x + 2x + 4

= 9x + 42

11.

18x + 3x + 9

= 21x + 9

12.

6x + x + 8

= 7x + 8

13.

21x + 15y

= 3(7x + 5y)

14.

2x + 14y

= 2(x + 7y)

15.

15x + 10y

= 5(3x + 2y)

16.

12x + 18y

= 6(2x + 3y)

17.

10x + 30y

= 10(x + 3y)

18.

6x + 14y

= 2(3x + 7y)

19.

8x + 16y

=  8(x + 2y)

20.

45x + 27y

= 9(5x + 3y)

21.

54x + 48y

= 3 (18x + 16y)

Thus,

The expressions are simplified and factored in as above.

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Answer:

The picture has the graphed line on it.

Answer:

108 calories per cup

Step-by-step explanation:

Answer:

A. 1200

Step-by-step explanation:

Speed in meter per minute

= (216*1000)/(3*60)

= 216000/180

= 1200

Answer:

A. 1200

Step-by-step explanation:

Distance travelled (d)

= 216 km

= 216000 m

time taken (t)

= 3 hours

= 3 * 60

= 180 min

Speed (s)

= d / t

= 216000/180

= 1200 m / min

The speed of the car is 1200 metres per minute.

Answer:

i think its 133

Step-by-step explanation:

i just subtracted 47 from 180 bc the straight line is 180 angle

Answer:

0.9646 ; 0.5685

Step-by-step explanation:

Given that :

P(obtaining 3 on a die roll) = 1/6 = 0.1667

Obtaining 3 at most 2 times in five trials

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = 5 ;, p = 0.1667

P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)

Using the binomial probability :

P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608

P(x ≤ 2) = 0.9646

B.) using geometric distribution :

(1 - p)^x-1 * p

P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)

1 - (0.1667 + 0.1157+0.0965+0.0804)

= 0.5685

Answer:

C. 2

Step-by-step explanation:

[tex]3 \frac{1}{2} \times \frac{4}{7} \\ = \frac{3 \times 2 + 1}{2} \times \frac{4}{7} \\ = \frac{7}{2} \times \frac{4}{7} \\ = 2[/tex]

hope it helps :)

Answer:

C

Step-by-step explanation:

3 1/2 = 7/2

4/7 = 4/7

7/2 x 4/7 = 28/14 or 2

Answer: between 9 mm and 53

Step-by-step explanation:

U do 23 - 31 you get 8 then you do 23 + 31

Answer:

Starts at negative 1 Y-axis, and then go yp 2 and 1 to the right

Answer:

4/5

Step-by-step explanation:

1/2=5/10

5/10+3/10=8/10

simplified or  8/10 divided by 2 =4/5 and u cant simplify it anymore

Answer:

4/5

Step-by-step explanation:

convert 1/2 to 5/10 then and 3/10 then simplify and you get 4/5

Answer:

1/25

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

The leading coefficient is the number before the term with the highest power in your polynomial. The coefficient is just a number or constant that is before a variable in your expression.

In this case, the highest degree in this polynomial is five. If we look at the coefficient of that term, we see that it is seven.

Answer:

Ta fácil le quedan 5 kilos :v de que grado es esto._.