What is the slops of this line? Enter your answer as a fraction in simplest term in the box.

Answer:

The margin of error is  [tex]E = 6.9 [/tex]

The 95% confidence interval is  [tex] 26.5  <  \mu < 40.3 [/tex]  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  31

     The mean is  [tex]\mu = 33.4 \ ng/ml[/tex]

      The standard deviation is  [tex]\sigma = 19.6 \ ng/ml[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96  *  \frac{19.6  }{\sqrt{31 } }[/tex]

=>  [tex]E = 6.9 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex] 33.4  - 6.9 <  \mu < 33.4  +  6.9 [/tex]

=> [tex] 26.5  <  \mu < 40.3 [/tex]  

Answer:

14

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

you just draw a circle indicating that it is a hole. Your welcome

Answer:

2/21

Step-by-step explanation:

Answer:

The number of different 7 card hands possibility is  133784560

Step-by-step explanation:

The computation of the number of different 7 card hands possibility is shown below:

Here we use the combination as the orders of choosing it is not significant

So,

The number of the different hands possible would be

= [tex]^{52}C_7[/tex]

= 52! ÷ (7! × (52 - 7)!)

= 133784560

Hence, the number of different 7 card hands possibility is  133784560

The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

Scale factor gives either a small or big similar image of a triangle, for example, if we have a triangle with vertices 2,4,6 and it is scaled by 1/2 then the resultant dimension will 1,2,3 but angles still remain the same.

Hence "The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°".

To learn more about scale factors,

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Answer:

10/55

6/7

9/12

10/15

The given expression is

=ab+cd+ef+gh

The meaning of expression is equal to terms which contains variables and constants and operation between them is Addition, Subtraction,  Multiplication and Division.

→The expression consists of four terms which are, ab, cd, ef, and gh.

→Each term contains

Two factors.

plz mark as brainliest

Answer:

We have the points:

(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)

First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:

f(x) = f(-x)

And in this case we have:

f(-2) = 4 = f(2)

f(-1) = 1 = f(1)

Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).

Such that:

f(x) = a*x^2 + b*x + c

Now let's use the known points to find our equation, we start with (0, 0)

f(0) = 0 = a*0^2 + b*0 + c

then c = 0.

f(x) = a*x^2 + b*x

Now let's use the points (1, 1) and (-1, 1)

f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1

       a + b = a - b

           +b = -b

           2*b = 0

Then we must have b = 0

f(x) = a*x^2

And now we can use the point (2, 4)

f(2) = 4 = a*2^2 = a*4

Then  a = 1.

Our function is f(x) = 1*x^2

Answer:

125%

Step-by-step explanation:

5% multipled by 25 years (from 2010 - 2035) = 125%

And i aint never seen to pretty best friendsssss

If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year.

Using the approximate formula, we can see that the emissions will increase by a factor of between 2010 and 2035.

Using the exact formula, it can be seen that the emissions will increase by a factor of between 2010 and 2035.

Therefore, 5% multipled by 25 years (from 2010 - 2035)

0.05 x 25 = 125%

If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.

Learn more about multiplications;

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Answer:

Step-by-step explanation:

I hope this helps!

Answer:

I think the answer is C, interest is a fee charged for borrowing money, dept is the total amount of money owed.  

Answer:

1.25 hours

Step-by-step explanation:

So if you walk at 5 mph without wind, it takes you 1 hour to cover a 5 mile distance since you travel at a speed of 5 every hour. (5 mph). with the wind, your speed is 4 miles per hour because the wind slows you down to 4/5ths of your normal speed. 4/5ths of 5 is 4. It takes 1.25 hours to walk with the wind because 5(miles)/4(mph) is 1.25 hours. Hope this helps bud!

Answer:

8

Step-by-step explanation:

Explanation: The GCF of 56 and 64 is 8 , as 8 goes into 56 exactly 7 times and into 64 exactly 8 times. 8(8)+7(8)=8(7+8).

Answer:

28.26 mm

Step-by-step explanation:

The equation used to solve for the area of a circle is;

A=pi x r^2.

The radius is half the diameter, 6mm/2= 3mm.

A= 3.14 x 3^2

3^2= 9

3.14 x 9 = 28.26 mm

or you could just type 3.14 x (3^2) = 28.26mm

upload the picture...

Answer:

AB have the length of 9

Step-by-step explanation:

5 is to short 14 is too long in between would be 9

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity

The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A

Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.

The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)

Given

1 – cos(2x) = tan(x)sin(2x)

Taking R.H.S

tanx.sin2x

= tanx(2 sinx cosx)

2 sinx cosx is a double angle identity

= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]

[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent

= [tex]2sin^{2} x[/tex]

We have simplify by cancelling out cosx.

= 1 - cos(2x)

It is a double angle identity.

Find out more information about double angle identity here

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Answer:

A is the answer x ≤-4 or x>7

Step-by-step explanation:

Answer:

The answer is A, because they both have answers for each one.

Answer:

After 25 days will be present about 13.70 ≅ 13 bacteria

Step-by-step explanation:

The form of the exponential function is y = a [tex](1+r)^{x}[/tex] , where

∵ A certain bacteria multiply exponentially at a rate of 8% per day

→ Assume that y is the number of bacteria, x is the number of days

∴ r = 8% = [tex]\frac{8}{100}[/tex] = 0.08

∵ 2 bacteria exist initially

∴ a = 2

→ Substitute them in the form of the equation above

∵ y = 2 [tex](1+0.08)^{x}[/tex]

∴ y = 2 [tex](1.08)^{x}[/tex]

∵ x = 25

→ Substitute x in the equation by 25

∴ y = 2 [tex](1.08)^{25}[/tex]

∴ y = 13.69695

∴ After 25 days will be present about 13.70 bacteria

Note: The number of bacteria must be the whole number so the answer should be 13 bacteria will be present after 25 days.

Answer:

0.0083

Step-by-step explanation:

From the given information;

The total number of individual in the team = 3

The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = [tex]^{6}P_3[/tex]

= (6×5×4×3!)/3!

= 6×5×4

= 120 ways

The probability of forming such a team with 6 people = 1/120

= 0.0083

Answer:

c) 4

Step-by-step explanation:

Area of a square is its length times its length, or length²

Square root of 16 is 4

Answer:

The distance between T and S is 10 units.

Step-by-step explanation:

Given the points

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between T and S is:

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]=10[/tex]              ∵ [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

Therefore, the distance between T and S is 10 units.

Answer:

y=5/6x-11

Step-by-step explanation:

Slope intercept form: y=mx+b

With slope: y=5/6x+b

Replace x with 6 and y with -6

[To figure out which one is x or y remember (x,y) so if you compare (6,-6) then you will find that 6 is x and -6 is y]

-6=5/6(6)+b

Simplify:

-6=5+b

Subtract 5 on both sides:

-11=b or b=-11

Answer:y=5/6x-11 (Replace the b in y=5/6x+b with -11 since -11 is equal to b)

Hope this helps!

Answer:

[tex]\boxed {x = -1}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]15 + 3x = 3(2 - 2x)[/tex]

-Use Distributive Property:

[tex]15 + 3x = 3(2 - 2x)[/tex]

[tex]15 + 3x = 6 - 6x[/tex]

-Take [tex]6x[/tex] and add it to [tex]3x[/tex]:

[tex]15 + 3x + 6x = 6 + 6x - 6x[/tex]

[tex]15 + 9x = 6[/tex]

-Subtract both sides by [tex]15[/tex]:

[tex]15 - 15 + 9x = 6 - 15[/tex]

[tex]9x = -9[/tex]

-Divide both sides by [tex]9[/tex]:

[tex]\frac{9x}{9} = \frac{-9}{9}[/tex]

[tex]\boxed {x = -1}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].

Answer: 7 boxes of pizza

Step-by-step explanation:

8x3=24

Answer:

David needs 3 pizzas.

Step-by-step explanation:

This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.

Answer:

11 roses and 12 carnations

Step-by-step explanation:

(11*3)+(1.50*3)=195