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Answer

The decision rule is

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the machine is underfilling the bags

Step-by-step-explanation:

From the question we are told that

   The  population mean is   [tex]\mu = 420.0 \ g[/tex]

    The  sample size is  n  =  33 bags

    The sample mean is  [tex]\= x = 417.0 \ g[/tex]

     The level of significance is  [tex]\alpha = 0.01[/tex]

     The  variance  is  [tex]\sigma^2 = 576.0[/tex]

The  null hypothesis is [tex]H_o : \mu = 420[/tex]

The alternative hypothesis is [tex]H_a : \mu < 420[/tex]

Generally the standard deviation is mathematically represented as

        [tex]\sigma = \sqrt{\sigma^2}[/tex]

=>     [tex]\sigma = \sqrt{576 }[/tex]

=>     [tex]\sigma = 24[/tex]

Generally the test statistics is mathematically represented as

        [tex]z = \frac{ \= x - \sigma }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>     [tex]z = \frac{417 - 420 }{ \frac{24}{ \sqrt{ 33} } }[/tex]

=>      [tex]z = -0.71807[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.71807   is  

   [tex]p-value = P(Z < -0.71807 ) = 0.23636[/tex]

Generally looking at the values we see that

              [tex]p-value > \alpha[/tex] ,  hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the machine is underfilling the bags

Answer:

It is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side. As shown in the triangle given below. Therefore the value of x is 15

Answer:

55%

Step-by-step explanation:

Divide the number of people that would buy the car again (this means that they were satisfied) by the total number of people

1320/2400 = 0.55

0.55 * 100 = 55%

Answer:

All are corrects.

Step By Step Explanation:

It's all the same thing.

Step-by-step explanation:

thats the ans okay......

Answer:

B

Step-by-step explanation:

Given: x = 5 ; x - 5=0

x = -1; x+ 1= 0

x = -1/4; 4x + 1 = 0

Then; (x - 5)(x + 1)(4x + 1)

Answer:

edge ⬇️

( 1 - cos²x ) secx

=> sin²x . secx

Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .

=> sin²x [ 1/cosx ]

Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .

=> sinx [ sinx/cosx ]

Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].

=> sinx tanx

Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .

The proof of the identity that justifies that ( 1 - cos²x ) secx equals sinx(tanx) has been described below with statements and rules.

Statement 1; ( 1 - cos²x ) secx

This is given

Statement 2; sin²x · secx

Rule 1;  From trigonometric identities, we know that;

sin²x + cos²x = 1,

Thus; cos²x = 1 - sin²x

Thus; ( 1 - cos²x ) secx = sin²x · secx

Statement 3; sin²x (1/cosx)

Rule 2;  The rule here according to trigionometric identities is that; secx = 1/cosx. Thus; secx = 1/cosx .

Statement 4; sinx (sinx/cosx )

Rule 3;  The rule here is that sin²x can be expressed as (sinx * sinx)

Thus, we have; sinx . sinx (1/cosx) = sinx (sinx/cosx ).

Statement 5; sinx(tanx)

Rule 4;  The rule here is that; sinx/cosx = tanx.

Thus;  sinx (sinx/cosx ) gives us sinx(tanx)

Read more at; https://brainly.com/question/24836845

Answer:

The value of c is 8.

Step-by-step explanation:

When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :

[tex]p(x) = 4 {x}^{3} + c {x}^{2} + x + 2[/tex]

[tex]p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2[/tex]

[tex]4( - 8) + 4c - 2 + 2 = 0[/tex]

[tex] - 32 + 4c = 0[/tex]

[tex]4c = 32[/tex]

[tex]c = 32 \div 4[/tex]

[tex]c = 8[/tex]

Answer:

30 days

Step-by-step explanation:

1 way:

18 cars/6 days = 3 cars/1 day

90cars/3 cars a day= 30 days

another way:

90 cars/18 cars= 5

6 days * 5= 30 days

Answer:

Two tailed test

+/-1.96

Step-by-step explanation:

Following this claim, the president would have to perform a two tailed test. Since he wants to know if the Act scores of students in her school are significantly different from what is reported by the ACT corporation.

At a confidence level that is 95%, the level of significance is = 0.05. then the z critical value to be used would be +/- 1.96

Answer:

theyre not similar

Step-by-step explanation:

they have different angles

Answer:

−2(3c  +  7)

Step-by-step explanation:

Factor the polyomial

Answer:

7.5 i got

Step-by-step explanation:

60%8= 7.5

Answer: the shaded area is 1/6 of the circle and is 60 degrees thats all i know sorry if not right

Step-by-step explanation: HAVE A GREAT DAY

Answer:

49

Step-by-step explanation:

m^2-14m+c

Take the -14

Divide by 2

-14/2 = -7

Square it

(-7)^2 = 49

Add it to each side

m^2-14m+49

The value of c is 49

Answer:

-0.75 i think

Step-by-step explanati

Answer:

The slope is 1/6

Step-by-step explanation:

The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

From this, we know that 1/6 is the slope because it is plugged in for m.

Hope this helps! :)

Answer:

The slope is 1/6

Explanation:

The slope is always the coefficient of X

Answer:

50

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Class size = 200 - 150 = 50

Class mark = (150 + 200)/2 = 350/2 = 175

Lowe limit = 150

Upper limit = 200

Answer:

I stand for simple interest.

p stands for principal amount

R Stands for Rate of interest

T stands for Time

This is the formula for simple interest.

Answer:

I think it should be zero

The answer is 35 over 2.

Option B!

Answer:Has a diamanitor of 6). B.)9 pi square units ... What is the volume, to the nearest whole cubic inch, of a cylinder with a height ... Volume of Cylinders, Cones, and Spheres Assig…

Step-by-step explanation:

Susan bought 340.194 grams of candies

Answer:

It is 340.194

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:13 1/2

Step-by-step explanation:

Answer:

The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

I'm not going to do the homework for you, but I will complete three of the problems to help you understand the process.

We are converting between different units of measurement.

Here are the conversions to know:

12 inches = 1 foot

3 feet = 1 yard

1760 yard = 1 mile

5280 feet = 1 mile

#1

We need to convert 7 feet into inches.

7 feet * 12 inches per foot = 84 inches

Now we know:

84 inches = 7 feet

What's the difference is between 84 inches, and 18 inches?

84 inches - 18 inches = 66 inches

We need 66 more inches to get a length of 7 feet.

#2

We need to convert 2 miles into yards.

2 miles * 1760 yards per mile = 3520 yards.

Now we know:

3520 yards = 2 miles

What's the difference between 3520 yards and 2000 yards?

3520 yards - 2000 yards = 1520 yards

We need 1520 more yards to make 2 miles

#3

We need to convert 108 inches into feet.

108 inches / 12 inches per foot = 9 feet

Since there is no remainder,

9 feet = 108 inches.

Hopefully you can see what is going on here and do the rest yourself.

Answer:

Part A.  Mike will save $1650 if he saves $150 for 11 months.

Part B.  Since $1750-$150 = $1600 Mike will need to save $100 in the 12th month. Since $100 is less than $150, he will be able to reach his goal.

Part C.   If Mike saves $160 every month for 12 months, he will have saved $1920.

Answer:

The number of observations is 3

Step-by-step explanation:

According to the given situation, The computation of the number of observations in each cell treatment via intersecting row-column is shown below

Here

N represents the number of observations

So from the given data, the number of observations is 3

i.e.

N = 3

The same is to be considered and relevant too