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Complete Question

Answer:

The  probability is  Right- tailed

The mean overtime hours for the sample will be at least 9.3 hours is

    [tex]P(X \ge 9.3 ) = 0.3333[/tex]

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = 9.2 \ hours[/tex]

    The  standard deviation is  [tex]\sigma = 1.6 \ hours[/tex]

    The sample size is n  =  49

      The sample  mean is  [tex]\= x = 9.3[/tex]

Generally the standard error of the mean is mathematically represented as

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

=>   [tex]\sigma_{\= x} = \frac{1.6 }{\sqrt{49} }[/tex]

=>    [tex]\sigma_{\= x} = 0.22857[/tex]

This is a right -tailed probability because the sample mean is greater than the        population mean

 Generally  the probability that the mean overtime hours for the sample will be at least 9.3 hours is mathematically represented as  

           [tex]P(X \ge 9.3 ) =1 - P(X < 9.3 )[/tex]

So

           [tex]P(X < 9.3 ) = P( \frac{ X - \mu }{ \sigma_{\= x }} < \frac{ 9.3 - 9.2 }{ 0.22857} )[/tex]

Here   [tex]\frac{X - \mu }{\sigma _{\= x}} = Z[/tex]

           [tex]P(X < 9.3 ) = P( Z < 0.43750)[/tex]

From the z-table  

            [tex]P(X < 9.3 ) = P( Z < 0.43750) = 0.667[/tex]

So

   [tex]P(X \ge 9.3 ) =1 - 0.667[/tex]

   [tex]P(X \ge 9.3 ) = 0.3333[/tex]

Answer:

5.6

Step-by-step explanation:

Edge 2020

A correct option is an option (b)

Given,

The function is [tex]y=6.4 cos(\frac{\pi x}{26})+12[/tex]

For minimum hours of sunlight, [tex]cos(\frac{\pi x}{26})[/tex]  should have the lowest value, that is -1 for [tex]x=26[/tex] {because [tex]cos (\pi )=-1[/tex] is the lowest value of cosine function}

Thus.

[tex]y_{minimum} = -6.4 + 12 \\y_{minimum}= 5.6[/tex]

So, the option is an option (b)

Learn more: https://brainly.com/question/18451626

ANSWER:

Minivan

EXPLANATION:

To determine the unit rate, take the miles and divide by the gallons

Truck:

120 miles / 8 gallons = 15 miles per gallon

Minivan:

180 miles /10 gallons = 18 miles per gallon

The minivan travels more miles per gallon

ANSWER:

Adam

EXPLANATION:

To determine the unit rate, take the charge and divide by the acres

Joshua:

$40 / 2 acres = $20 per acre

Adam:

$30 / 1.2 acres = $25 per acre

Adam charges more per acre

ANSWER:

Ellen

EXPLANATION:

To determine the unit rate, take the seconds and divide by the meters.

Ellen:

28 seconds / 200 meters = .14 seconds per meter

Lindsay:

60 seconds / 400 meters = .15 seconds

Ellen runs faster than Lindsay

Answer:

$4

Step-by-step explanation:

5x + 1 = 21

(-1) = 5x = 20

(÷5) = x = 4

Answer:

its 20

Step-by-step explanation:

5 times 4 lol ion really now

Answer:

The answer is $5.99

Step-by-step explanation:

$23.96 divided by 4 is $5.99

Answer:

The answer is $5.99

Step-by-step explanation:

I just did the quiz.

Step-by-step explanation:

2x+8=2x+5

2x-2x=15-8

0x=7

Answer:

The answer is 39

Step-by-step explanation:

Answer:

390

Step-by-step explanation

the plane is equal to the car right 360 = 120 if the car slows down to 90 that means we took off 30 mph so if we add that 30 to plane that will equal to 390

Answer:

yeah i understand that

Step-by-step explanation:

holiiiiiiiiiiii

Step-by-step explanation:

Answer:

the anser is 7 :)

Step-by-step explanation:

Answer:

d because no x has more than one y value

Answer: 40/2=3

Step-by-step explanation:

Answer:

[tex]d=9.21954[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(-1-5)^2+(9-2)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(7)^2}[/tex]

[tex]d=\sqrt{36+49}[/tex]

[tex]d=\sqrt{85}[/tex]

[tex]d=9.21954[/tex]

Answer: 8 / 12 = x

Step-by-step explanation:

:D Hope its right

Answer:

|24 - (2x - 6)| < 6

x > 12 or x < 18 (12 < x < 18)

Step-by-step explanation:

Area of the triangle = ½*base*height = ½*8*6 = 4*6 = 24 unit²

Area of rectangle = length * width = (x - 3) * 2 = (2x - 6) unit²

Difference in their areas is given as less than 6. This can be represented as an absolute value of inequality as shown below:

|24 - (2x - 6)| < 6

Solve to find the solution of the inequality by splitting into two as follows:

24 - (2x - 6) < 6 OR 24 - (2x - 6) > -6

Solve for each

24 - 2x + 6 < 6

30 - 2x < 6

Subtract 30 from both sides

-2x < 6 - 30

-2x < -24

Divide both sides by -2. < will change to >, since we are dividing by a negative number.

x > 12

Or

24 - (2x - 6) > -6

24 - 2x + 6 > -6

30 - 2x > -6

Subtract 30 from both sides

-2x > -6 - 30

-2x > -36

Divide both sides by -2

x < 18

The solution of the inequality is x > 12 or x < 18

Or can be written as: 12 < x < 18

Answer:

If M<6=72

Step-by-step explanation:

Then What is M

M=72/6 =12

so M<7=12 by 7=84

therefoe M<7=84

The measure of angle 7 in the system created by two non-parallel lines is 108°.

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

A line that is crossed by a non-parallel line produces four pairs of extra angles, according to geometry. If and only if two angles are close to one another and the sum of their measures is 180 degrees, then those angles are supplementary.

Then, m ∠ 6 + m ∠ 7 = 180° = 72° + m ∠ 7 = 180°.

So, m ∠ 7 = 108°.

Therefore, the measure of angle 7 in the system created by two non-parallel lines is 108°.

Learn more about the supplementary angles here:

brainly.com/question/3027144

#SPJ2

The question seems to be incomplete the correct question would be

If m∠6=72 degrees, then Find m∠7

Answer:

4

(0,4)

Step-by-step explanation:

The y-intercept is the y-value for when the line intersects with the y-axis. Another way to put this is also the y-value when x=0. This is easy to find when you have a graph because you can simply look to see where on the graph the line intersects with the axis. If you don't have the graph then you can plug 0 in for x in the equation and solve.

Answer:

-60

It is -60 because if it takes away 6 points for each cone you hit and you hit 10, then it would be -60 times 10, which equals -60.

Answer:

A= ₱1000 + t( ₱250) ------where t is the time in months

Step-by-step explanation:

The principal amount ,P, is given as : ₱1000----- P=₱1000 ------equation (i)

Additional amounts to be added by grandmother = ₱200 monthly

Amount expected to add monthly =  ₱50

Additional amounts in total added monthly = ₱200 + ₱50=₱250

Monthly amounts ,A, in the fund after the first month, t =1 month will be:

A=P + ₱250= ₱1000 + 1( ₱250) ------where t= 1, amount at end of month 1

A=P +₱250= ₱1000 + 2( ₱250)--------where t=2,  amount at end of month 2

A=P +₱250= ₱1000 + 3( ₱250)---------where t=3, amount at end of month 3

A=P +₱250= ₱1000 + 4( ₱250)--------where t=4, amount at end of month 4

From the breakdown above of 4 months, the general equation of monthly amounts will be;

A= ₱1000 + t( ₱250) ------where t is the time in months

A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t) and this can be determined by forming the linear equation with the help of the given data.

Given :

The following steps can be used to determine a sequence of the monthly amounts in your college book fund:

Step 1 - Given that the principal amount is ₱1000 which is given by the grandmother.

Step 2 - Additional amount is given by grandmother is ₱200 and each month ₱50 is added. So, the total additional amount each month is:

= 200 + 50

= ₱250

Step 3 - Let 't' be the number of months. So, the linear equation becomes:

A = 1000 + 250(t)

where A is the total amount and t is the time in months.

A sequence of the monthly amounts in your college book fund is given by the equation (A = 1000 + 250t)

For more information, refer to the link given below:

https://brainly.com/question/21835898

Answer:

x = 31

Step-by-step explanation:

4x + 38 = 2x + 10 + 90

2x = 62

x = 31

Answer:

A) y = 3x -2 is the answer

Step-by-step explanation:

The y-intercept is -2

The slope is going up 3 and right 1 which is 3/1 and 3 divide by 1 is 3.

Hope this helps and pls do mark me brainliest:)

Answer: D 3,220 meters

Step-by-step explanation:

I did it

Answer:

The correct answer is D, please give the person above me brainliest

Step-by-step explanation:

#edge2020

Step-by-step explanation:

The regression equation is correctly written as:

log(rent) = β₀+β₁log(pop)+β₂log(avginc)+β₃pctstu+μ

1. this question requires us to State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents.

null hypothesis

H₀ : β₃ = 0 (no effect exists)

alternative that there is an effect.

H₁ : β ≠ 0

2.

Due to increased demand when population is increased, the higher the number of people living in the city then there is a great likelihood that rent would increase. β1 will therefore be positive, all things being equal.

as average income rises, so also would rent as the people would have more money and therefore there would be increased demand for housing. This increase in demand would then cause a surge in the price of rent.  β₂ would therefore be positive .

the last question you posted is incomplete so i was unable to go ahead with it.

Answer:

x >= 5

(x is greater and equal than 5)

Step-by-step explanation:

4+3x >= 19

3x >= 19-4

3x >= 15

x >= 5

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hope it helps

Answer:

D. On the other hand.

Step-by-step explanation:

As a result, before long, and for this reason would be cause and effect. On the other hand is the only remaining option.

Answer:

If a polynomial function has integer coefficients, then every rational zero will have the form pq p q where p p is a factor of the constant and q q is a factor

Step-by-step explanation:

Using synth. div. to check whether or not 7/2 is a root:

        ___________________________

7/2   /   6    -21    -4    24    -35

                  21      0   -14     35          

       ----------- ------------------------------

          6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

Answer:

A. y=3.50x+1200

B. the y intercept in this calculation represents the initial cost before producing any t shirts.

C. The slope is representative of the cost per t shirt produced, where x in the equation is the amount of t shirts produced.

Step-by-step explanation: