A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0 gram setting. It is believed that the machine is underfilling the bags. A 37 bag sample had a mean of 441.0 grams. A level of significance of 0.05 will be used. Determine the decision rule. Assume the standard deviation is known to be 18.0.

Answer:

(2)(3) =6

Step-by-step explanation:

Answer:

the answer is 159. Brainliest?

Step-by-step explanation:

Answer:

The answer is -10x + 9

Step-by-step explanation:

Combine like terms.

-10x + 9

Hoped this helped!

Could I get brainly?

Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

Step-by-step explanation:

Given: Number of visits in 1998 = 1.3 billion

Number of visits in 2002 = 1.5 billion

The average rate of change in the number of public library visits from 1998 to 2002 = [tex]\dfrac{\text{Number of visits in 2002 - Number of visits in 1998}}{2002-1998}[/tex]

[tex]=\dfrac{1.5-1.3}{4}\\\\=\dfrac{0.2}{4}\\\\= 0.05 \text{ billion per year.}[/tex]

Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

Answer:

80,000,000

Step-by-step explanation:

Answer:

x =√-1.403 = 0.0 - 1.18454 i

x =√-1.403 = 0.0 + 1.18454 i

x =√11.403 = -3.37685

x =√11.403 = 3.37685

Step-by-step explanation: i think either one of these could work

hope i could help :)

Answer:

Perimeter of figure is 31.85 inches

Step-by-step explanation:

We have a rectangle and semi-circle in the figure.

First we will find perimeter of rectangle and semicircle and add them to find perimeter of rectangle.

First find perimeter of rectangle

The formula used is: [tex]Perimeter\: of\: rectangle=2(length+width)[/tex]

We have width = 7 in

length = 5 in

The perimeter is:

[tex]Perimeter\: of\: rectangle=2(length+width)\\Perimeter\: of\: rectangle=2(5+7)\\Perimeter\: of\: rectangle=2(12)\\Perimeter\: of\: rectangle=24\:in[/tex]

The perimeter of rectangle = 24 in

Now, finding perimeter of semi-circle

The formula used is: [tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}[/tex]

Wee have diameter d = 5 in

So, perimeter is:

[tex]Perimeter\: of\: semi-circle=\frac{\pi d}{2}\\Perimeter\: of\: semi-circle=\frac{3.14\times 5}{2}\\Perimeter\: of\: semi-circle=7.85\:in[/tex]

So, Perimeter of semi-circle= 7.85 in

Now, finding Perimeter of figure

Perimeter of figure = Perimeter of Rectangle + Perimeter of semi-circle

Perimeter of figure = 24 + 7.85

Perimeter of figure = 31.85 inches

So, Perimeter of figure is 31.85 inches

Answer:

2%

Correct Answer : 2%

Required Percentage = [ (130/(6.5 * 1000)) * 100]% = 2%.

Step-by-step explanation:

please give me a heart anyone else please give me a heart thank you

Answer:

6w+32

Step-by-step explanation:

Answer:

Step-by-step explanation:

All the angles that have a cosine of 9/15 are,

⇒ ∠P and ∠X

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Triangle PQR is similar to triangle XYZ.

Hence, We get;

In triangle PQR,

cos P = 9/15

And, In triangle XYZ,

cos X = XZ / ZY

cos X = 9 / 15

Thus, All the angles that have a cosine of 9/15 are,

⇒ ∠P and ∠X

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Answer is $2.50

How to solve system of two equations:

First of all, we should get one variable in terms of other variable in one equation and substitute this variable in another equation. And solving that we get two variables value.

If you have two different equations with the same two unknowns in each, you can solve for both unknowns. There are three common methods for solving: addition/subtraction, substitution, and graphing.

Here,

let's consider price of hot dogs = x and price of hamburgers = y

then, 164x + 74y = $706 --- ( 1 )

and 256x + 61y = $884 --- ( 2 )

Now,  from eq - 1 we get x = ($706 - 74y) / 164

Substitute this x value in eq - 2,

256($706 - 74y)/164 + 61y = $884

=> $706*256 - 74y*256 + 61y*164 = $884 * 164

=> 180,736-8940y = 144,976

=> 180,736 - 144,976 = 8940y

=> 35,760/8940 = y

=> y = $4.

By substituting in eq - (1) we get x = $2.5

So, The price of hot dog = $2.5

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Answer:

$2.50

Step-by-step explanation:

Answer:

18/7

Step-by-step explanation:

You cannot simplify this any further.

Answer:

its 2 4/7

Step-by-step explanation:

If you mean simplifying it

Answer:

220

Step-by-step explanation:

216+4

The next day+ the first day=220

Answer:

I think it D-

I not that sure

Answer:

The slope of parallel line m = -7 is an integer

Step-by-step explanation:

Explanation:-

Given that the parallel line

                     -7x-y = 2

we know that the slope of the two parallel lines are equal

m₁ = m₂

The given parallel line equation

                           - 7 x - y = 2

The slope-intercept form

                             y = - 7x -2

comparing

                             y = mx +C

slope of parallel line m = -7 is an integer

y- Intercept  c = -2

Step-by-step explanation:

Notice that

9y² - 4xy + 4x²/9 = (3y - 2x/3)².

Therefore (9y² - 4xy + 4x²/9) / (3y - 2x/3)

= (3y - 2x/3).

Answer:

(9y²-4xy+4x²/9)/(3y-2x/3)

={(3y)²-2(3y)(2x/3)+(2x/3)²}/(3y-2x/3)

=(3y-2x/3)²/(3y-2x/3)

=(3y-2x/3)

Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

               [tex]Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }[/tex]

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Answer:

45 J

Step-by-step explanation:

Just plugged into the work force formula got 45 jules

Answer:

Correct answers:

$3265$

For this, we can use the formula

A=P0(1+rt).

We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give

P0=A1+rt,

and substituting the known quantities gives

P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,

which is $3,265 to the nearest dollar.

Step-by-step explanation:

Answer:

Step-by-step explanation: For this, we can use the formula

A=P0(1+rt).

We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give

P0=A1+rt,

and substituting the known quantities gives

P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,

which is $3,265 to the nearest dollar.

Answer:

3i

Step-by-step explanation:

3i x 3i = -9

-3i x -3i = -9

Therefore the square root of -9 is 3i or -3i

The simplified radical expression ±√(-9) is ±3i

The expression ±√(-9) involves finding the square root of a negative number. In the real number system, this is not possible, as no real number multiplied by itself will result in a negative value. To overcome this limitation, mathematicians introduced the concept of imaginary numbers. The imaginary unit, denoted by 'i,' is defined as √(-1).

Now, let's simplify the expression ±√(-9) step by step:

Step 1: Begin by recognizing that √(-9) is the square root of -9.

Step 2: Since √(-1) is 'i,' we can rewrite √(-9) as √(9) * √(-1).

Step 3: The square root of 9 (√9) is 3.

Step 4: Replace √(-1) with 'i.'

Step 5: The final result is 3i.

Therefore, the simplified form of ±√(-9) is ±3i.

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Answer:

46-55i

Step-by-step explanation:

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

Answer:

A: 1070 m

Solution:

based on the formula :

960km/h= x (the distance) / 1h50m

Answer:

Step-by-step

The rate of change is 150 km per minute.

The rate of change is 2.5 km per second. explanation:

Answer:

[tex]y = \frac{2}{3} x - 2 \\ [/tex]

Answer:

in my opinion I think it parallelogram because it has four sides which are A,B,C,D

Answer:

[tex]y= -\frac{7}{3}x -7[/tex]

Step-by-step explanation:

Answer:

y

=

−

7

3

x

−

7

Step-by-step explanation:

Brainliest?

Answer:

16n+2.50

Step-by-step explanation:

15 sides

It’s the right answer

The number of sides that the original building has will be 15 sides.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The measure of the exterior angle is given as,

Exterior angle = 180° - Interior angle

Exterior angle = 180° - 156°

Exterior angle = 24°

The total number of sides of the polygon will be given as,

Exterior angle = 360° / (Number of sides)

24° = 360° / n

n = 360° / 24°

n = 15

The number of sides that the original building has will be 15 sides.

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