The national average for the number of students per teacher for all U.S. public schools is 15.9. A random sample of 12 school districts from a moderately populated area showed that the mean number of students per teacher was 19.2 with a variance of 4.41. Assume a normal distribution is appropriate for the number of students per teacher.a)[7 pts] Estimate the true mean number of students per teacher with 95% confidence from the random sample. b) [6 pts] A researcher makes the claim that moderately populated districts have a different number of students per teacher than the national average. Do the data support this claim

Step-by-step explanation:

hope this will help you have a great day!

Answer:

0.12

Step-by-step explanation:

I don't know how to explain it to you, but I hope you'll understand from the picture. hope it helps.

Answer:

36 more elves

Step-by-step explanation:

90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.

0.25 * 144 = 36

36 more elves can fit.

Answer:

36 elves

Step-by-step explanation:

Hope this helps

9514 1404 393

Answer:

  42.3

Step-by-step explanation:

The appropriate trig ratio is ...

  Tan = Opposite/Adjacent

  tan(78°) = x/9

  x = 9×tan(78°)

  x ≈ 42.3

Answer:

D. 6

Step-by-step explanation:

90 - 30 = 60

so :-

10X = 60

then, X= 60÷10

X = 6.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{10x^\circ = 90 - 30^\circ}[/tex]

[tex]\mathsf{10x^\circ = 60}[/tex]

[tex]\large\textbf{DIVIDE 10 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{10x}{10} = \dfrac{60}{10}}[/tex]

[tex]\large\textbf{SIMPLIFY it}[/tex]

[tex]\mathsf{x = \dfrac{60}{10}}[/tex]

[tex]\mathsf{x = \dfrac{60\div10}{10\div10}}[/tex]

[tex]\mathsf{x = \dfrac{6}{1}}[/tex]

[tex]\mathsf{x = 6}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{x = 6}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

C. [tex] a \leqslant 4[/tex]

Step-by-step explanation:

[tex]a \leqslant 4[/tex]

Option C is the correct answer.

Step-by-step explanation:

where's the model?

I can't answer it unless there's a model

Answer:

57°

Step-by-step explanation:

180-56=114

114÷2=57

Answer:

57°

Step-by-step explanation:

AO and BO are both the radius of the circle, so they are equal.  Since it makes an iscosoles triangle, angles A and B are equal.

180-66=114

114/2=57

Answer: 24

Step-by-step explanation:

Given

[tex]2x^4+2y^4+2z^4=144[/tex]

dividing whole equation by 2, we get

[tex]\Rightarrow x^4+y^4+z^4=72[/tex]

Mean is given by the sum of the value of entities divided by the total no of entities

[tex]\Rightarrow \text{Mean}=\dfrac{x^4+y^4+z^4}{3}\\\\\Rightarrow \text{Mean}=\dfrac{72}{3}\\\\\Rightarrow \text{Mean}=24[/tex]

Total surface area of cone is 176π

Surface area of curved surface of a cone is give by π⋅r.l , where r is the radius and l is the slant height of the cone.

Hence surface area of curved surface of a cone is π×8×14=112π .

As surface area of base is π×82=64π .

Hence total surface area is 112π+64π=176π

The surface area of the given cone is 552.64 units²

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given that, a cone has a radius of 8 and slant height of 14 units, we need to find its surface area,

The surface area of cone = π ·r²+ π·r·l, where l is the slant height,

So,

SA = (3.14 × 8²) + (3.14 × 8 × 14)

= 200.96 + 351.68

= 552.64

Hence, the surface area of the given cone is 552.64 units²

Learn more about surface area click;

brainly.com/question/29298005

#SPJ5

Answer:

A should be right :)

Answer:

I think D as that's the highest point

Step-by-step explanation:

I think D as that's the highest point

Answer:

(x–1)(x²–6x+6)

Explanation:

Given that 1 is a zero, we can use synthetic division to compute the factor.

If 1 is a zero (x–1) is a factor.

Here is the process:

| 1 | 1 -7 12 -6

↓ +(1) +(-6) +(6)

↓ ↓ ↓

1 -6 6 0

→ [1]x² + [-6]x + [6]1 + [0]/x–1 =

x² – 6x + 6.

Therefore the factors are (x–1)(x²–6x+6)

Answer:

The correct answer is choice B. Have a good day!

Answer:

It would be 28 brazilian and 4 Colombian

Step-by-step explanation:

I multiplied alot and please forgive me if this is wrong

Answer:

37  smallest number

Step-by-step explanation:

If your integer is x

The next 5 odd integers are:

x+2

x+4

x+6

x+8

x+10

x+x+2+x+4+x+6+x+8+x+10=252

6x+30=252

6x=252-30

6x=222

x=222/6

x=37

Answer:

x²y²

Step-by-step explanation:

Refer to image below:

Answer:

Step-by-step explanation:

Quadratic equation has been given as,

[tex]y=-x^{2} +6x+4[/tex]

Converting this equation into vertex form,

[tex]y=-(x^{2}-6x)+4[/tex]

[tex]y=-[x^{2}-2(3x)+9-9]+4[/tex]

[tex]y=-[x^{2}-2(3x)+3^2]+4+3^2[/tex]

[tex]y=-(x-3)^2+4+9[/tex]

[tex]y=-(x-3)^2+13[/tex]

By comparing this equation with the vertex form of a quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the parabola → x = 3, y = 13

Axis of symmetry → x = 3

Answer:

a) because of the distributive property when you distribute you get 2x+8=2x+8

b) because when you distribute, you get 3x+7=3x+21 which is not equal so no value of x will work

Answer:

a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.

2x + 8 = 2(x + 4)

2x + 8 = 2(x) + 2(4)

2x + 8 = 2x +8

2x + 8 - 8 = 2x + 8 -8

2x = 2x

2x/2 = 2x/2

x = x

So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.

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

b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.

3x + 7 = 3(x + 7)

3x + 7 = 3(x) + 3(7)

3x + 7 = 3x + 21

3x + 7 - 7 = 3x + 21 - 7

3x = 3x + 14

3x/3 = 3x/3 +14

x = x + 14

However, this is false. x cannot be equal to itself plus 14.

x ≠ x + 14

The simplification of this equation is untrue, so there is no solution to it.

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

I hope this helps ^^

Good luck mate

Answer:

explanation

Step-by-step explanation:

just multiply the numerator and the detonator by 4 and u get 16/20

Answer:

2.66 (rounded to the nearest hundredth)

Answer:

x =2 y= 8

Step-by-step explanation:

Answer:

An isosceles triangle has 2 equal sides. If the perimeter is 110 inches, and your base is 34 inches, subtract the base from the total perimeter. 110-34= 76. If 2 sides have to be equal, the total length of the 2 sides is 76 inches, divide the 2 lengths by 2 to get the measure of each side individually. 76÷2=38.

Hence, your answer is each of the equal sides of the plate equals 38 inches.

Hope this helps!

Answer:

???

Step-by-step explanation:

9514 1404 393

Answer:

  9/16

Step-by-step explanation:

We presume an error in the problem statement. A yard is a measure of distance, not weight.

A pound contains 16 ounces. Then 9 ounces is 9/16 of a pound.

__

As a decimal fraction, that is 0.5625 lb.

Answer:

35

Step-by-step explanation:

Answer:

8232

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

8-12=-4

Answer:

-4

Step-by-step explanation:

8-12=-4

Answer:

5 balls

Step-by-step explanation:

Sorry if it's wrong.

Answer:

33

Step-by-step explanation:

16+17 math that is why