The lengths of text messages are normally distributed with a population standard deviation of 6 characters and an unknown population mean. If a random sample of 27 text messages is taken and results in a sample mean of 25 characters, find a 95% confidence interval for the population mean. Round your answers to two decimal places. z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576 You may use a calculator or the common z-values above.

Answer:

[tex]a = -2[/tex]

Step-by-step explanation:

Given

The attached function (graph)

Required

Find a

The given function is quadratic and will be solved using:

[tex]y = ax^2 + bx + c[/tex]

From the attachment:

[tex](x,y) = (-3,4)[/tex]

[tex](x,y) = (-2,2)[/tex]

[tex](x,y) = (-4,2)[/tex]

Substitute these values in [tex]y = ax^2 + bx + c[/tex]

For: [tex](x,y) = (-3,4)[/tex]

[tex]4 = a(-3)^2 + b(-3) + c[/tex]

[tex]4 = 9a -3b + c[/tex]

For: [tex](x,y) = (-2,2)[/tex]

[tex]2 = a(-2)^2 + b(-2) + c[/tex]

[tex]2 = 4a -2b + c[/tex]

For: [tex](x,y) = (-4,2)[/tex]

[tex]2 = a(-4)^2 + b(-4) + c[/tex]

[tex]2 = 16a -4b + c[/tex]

So, we have:

[tex]4 = 9a -3b + c[/tex] --- (1)

[tex]2 = 4a -2b + c[/tex] ---- (2)

[tex]2 = 16a -4b + c[/tex] --- (3)

Make c the subject in (1)

[tex]c = 4 - 9a + 3b[/tex]

Substitute [tex]c = 4 - 9a + 3b[/tex] in (2) and (3)

[tex]2 = 4a -2b + c[/tex]

[tex]2 = 4a -2b + 4 - 9a + 3b[/tex]

Collect Like Terms

[tex]-4 + 2 = 4a - 9a-2b + 3b[/tex]

[tex]-2 = - 5a+b[/tex] --- (4)

[tex]2 = 16a -4b + c[/tex]

[tex]2 = 16a - 4b + 4 - 9a + 3b[/tex]

Collect Like Terms

[tex]2 -4 = 16a - 9a + 3b- 4b[/tex]

[tex]-2 = 7a -b[/tex] --- (5)

Add 4 and 5

[tex]-2 = - 5a+b[/tex]

[tex]-2 = 7a -b[/tex]

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

[tex]-2 - 2 = -5a + 7a +b - b[/tex]

[tex]-4 = 2a[/tex]

Divide through by 2

[tex]-2 = a[/tex]

[tex]a = -2[/tex]

Answer:

-6x-4

Step-by-step explanation:

2(-3x)-4

-6x-4

r F(x) is your frame function since it is on the outside, when every you get to an x in the F function you plug in the G function then solve as normal.

Answer:

4 ft by 2 ft

Step-by-step explanation:

4*2=8

4+4+2+2=12

Answer:

The square root of 1/16 is 1/4=0.25

Step-by-step explanation:

The square root of 1/16 is 1/4.

To find the square root of 1/16, you can take the square root of the numerator and the denominator separately.

√(1/16) = √1 / √16

Since the square root of 1 is 1, and the square root of 16 is 4:

√(1/16) = 1/4

So, the square root of 1/16 is 1/4.

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Answer:

no solution i think hehe 0=0

Answer:

y=8x+4

Step-by-step explanation:

Answer:

0.035°

Step-by-step explanation:

We need to find the value of  [tex]\theta[/tex] for the given expression. So,

[tex]\tan\theta=\dfrac{5\sqrt{20}}{11}[/tex]

or

[tex]\theta=\tan^{-1}\tan\left(\frac{5\sqrt{20}}{11}\right)\\\\=-2.0083\ radian[/tex]

Or we can write as :

[tex]\theta=0.035^{\circ}[/tex]

So, the value of [tex]\theta[/tex] is equal to 0.035°.

Answer:

Penelope can read 6 pages in 5 minutes.

Step-by-step explanation:

You would use the equation 1.2x = P

P=how many pages    x=how many minutes

1.2(5) = 6

She can read 6 pages in 5 minutes

Step-by-step explanation:

1+.75= blank

then subtract 15 and answer above. make sure when you write your final answer to label it. is it chairs, puppies? hope this helps! you got this

Answer:

oopppppp yes

Step-by-step explanation:

Answer:

Yes

Good luck, and have the most amazing day!

Answer:

EB

Step-by-step explanation:

Diameter is a line that cut a circle into equal halves

O indicate the point of the center

Answer:

Step-by-step explanation:

Since we are given the starting position of the line segment and the length we can simply add or subtract the total length of the line segment to the x or y starting position. This would give us all the possible endpoints that are exactly 5 units away from the starting position in every direction. We can either add or subtract because this would give us the left, right, up, and down directions from the starting position. After making these changes we are left with the following four possible endpoints.

(-1 , -12)

(9 , -12)

(4, -17)

(4, -7)

Answer:

Number of bag filled in a bowl = 2.67 bags

Step-by-step explanation:

Given:

Number of lettuce bags = 8

Number of serving bowl = 3

Find:

Number of bag filled in a bowl

Computation:

Number of bag filled in a bowl = Number of lettuce bags / Number of serving bowl

Number of bag filled in a bowl = 8 / 3

Number of bag filled in a bowl = 2.67 bags

Answer:

6

Step-by-step explanation:

https://web2.0calc.com/questions/algebra_69756

Theodore get 6 quarters in Prize.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let p the number of pennies, d be the number of dimes, n be the number of nickels and q be number of quarters.

So, the expressions are

p = 3d                

n = d+1              

   = 5(d+1)

d = 10d

and, q = 2d              

           = 25 (2d)                    

and, the total is = $209

                          = 209

Then,

3d + 5(d+ 1)  + 10d  +25 ( 2d) = 209

68d + 5 = 209

d = 3                          

Thus, the number of quarters = 2d = 6 quarters.

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Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

[tex]f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\[/tex]

[tex]f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)[/tex]

Answer:

CD= 15.03

Step-by-step explanation:

x1=7, x2= -8

y1=-4, y2=-5

distance CD= √(x2- x1) 2+ (y2-y1)2

= √( -8-7)2 + [-5-(-4)]2

= √(15)2+ (-5+4)2

= √225+ (1)2

= √225+1

= √226

= 15.03

Answer:

f(2) is -3

f(-4) is 2

for the last one, x = -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hgbuf7g

Answer:

sorry i dont know

Step-by-step explanation:

Answer:

.OOF Sorry im not good in math

Answer:

Step-by-step explanation:

You have a circle with radius r = 3 ft and a 3-by-12 rectangle.

Area of circle = πr² = 9π ft²

Area of rectangle = 3 × 12 = 36 ft²

Total area = 36 + 9π ≈ 64.3 ft²

Perimeter of circle = 2πr = 6π ft

Perimeter of rectangular projections = 18 ft

Total perimeter = 6π +18 ≈ 36.8 ft

Answer:

A

Step-by-step explanation:

Measurement is the numerical quantification of the attributes of an object or event, which can be used to compare with other objects or events.

Measurement is used to compare or determine the relation of a quantity, physical or not, with a certain  numerical value.

We have to determine, which is used to compare or determine the relation of a quantity, physical or not, with a certain  numerical value

According to the question,

The process of measurement is required to measure or compare physical quantities in day-to-day life.

Thus, to measure each of the standard quantities, we choose certain units for them that are accepted worldwide.

Other similar quantities can also be expressed in terms of these units and can be measured accordingly.

The physical quantities are measured in terms of the unit and are known as a standard of that physical quantity.

The length of the foot, the width of a finger, and the distance between two different places were commonly measured by different units of measurements.

For unique measurement properties, scientists accepted standard units of measurement all over the world.

Hence, Measurement is used to compare or determine the relation of a quantity, physical or not, with a certain numerical value.

For more details refer to the link given below.

https://brainly.com/question/18440876

Answer:

the qoustion is not correct

Find quarts per hour:

140 quarts / 10 hours = 14 quarts per hour.

Now multiply quarts per hour by hours:

14 quarts per hour x 12 hours = 168 quarts

Answer:

angle f angle g and angle h are congruent as they are 90 degree

Answer:

64x16=1024

8x3=24

27x4=108

81x6=486

125x9=1125

Step-by-step explanation:

Braineist please

Answer:

A=64 C=8x^3 F=125x^9

Step-by-step explanation:

♥☺

Answer:

  x=12

Step-by-step explanation:

12+x=-12+3x

-2x=-24

x=12

Answer:

x=12

Step-by-step explanation:

12+x=-3(4-x)

12+x=-12+3x

2x=24

x=12

Answer:

make a whole retangle then do the length times the width on both then add together

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Multiply 11 by 3 which is 33

Multiply 2 by 3 which is 6

add 33 and 6 which is 39

Hope this helps

Answer:

Step-by-step explanation: