A population has a standard deviation of 11. What is the approximate standard error of the mean for a sample size of 150?

Answer:

3.

vertically opposite angles ,

= 30°

4. 50° +30°+2x = 180°

80°+2x=180°

2x=180°-80°

2x=100°

Answer:

Step-by-step explanation:

5. angle FDE = 180-90-63 = 27°

 arc FE = 2×27 = 54°

6. arc GJ = 360-68-31-115 = 146°

 angle GHJ = 146/2 = 73°

7. angle GIJ = 146/2 = 73°

8. arc DAB = 2×101 = 202°

 arc BCD = 360°-202 = 158°

 angle A = 158/2 = 79°

 angle B = 360-79-110-68 = 112°

10. see picture

5) The sum of angle in the triangle DEF is 180 degrees

mFE = <D

Recall that <D+<E+<F = 180⁰

<D+63+90 = 180

<D = 180-153

<D = 27 degrees

Hence the measure of arc FE is 27degrees

6) For this circle geometry, we will use the theorem

The sum of Opposite side of a cyclic quadrilateral is 180 degrees.

A + C = 180

m<A + 101 = 180

m<A = 180-101

m<A = 79degrees

Similarly

B + D = 180

m<B + 68 = 180

m<B = 180-68

m<B = 112degrees

7) The sum of angle in a circle is 360, hence;

arcGJ+68+31+115 = 36p

arcGJ = 360 - 214

arcGJ = 146⁰

Since the angle at the centre is twice angle at the circumference, then;

<GHJ = 1/2 arcGJ

<GHJ = 1/2(146)

<GHJ = 73⁰

<GHJ = <GIJ = 73⁰ (angle in the same segment of the circle are equal)

8) Recall that the sum of Opposite side of a cyclic quadrilateral is 180 degrees.

P + R = 180

57 + <R = 180

m<R = 180-57

m<R = 123degrees

Similarly, m<Q+m<S = 180⁰

Since the triangle in a semi circle is a right angled triangle, hence m<Q = 90 degrees (triangle PQR is a right angled triangle)

m<S = 180 - 90

m<S = 90 degrees

Learn more here: brainly.com/questions/11325504

Answer:

c

Step-by-step explanation:

Answer:

x=42°

y=64°

z=68°

Step-by-step explanation:

Consider the triangle towards the right with 90° and 48° marked. The other angles must equal 42° (angles in a triangle add to 180, 42+48+90=180). This 42° angle is vertically opposite x, so x=42°.

The triangle that contains z also contains the angle 22° and 90° (because it is on a straight line with another 90° angle and the angles along a straight line add up to 180 (90+90=180)). Since the angles in a triangle add to 180, z=68°. (68+22+90=180)

The angles z, 48° and y lie along a straight line. Since the angles along a straight line equal 180 and since we know that z=68°, we can say y=64° (68+64+48=180)

Answer:

Solve for x: (use triangle sum theorem)

48+90+x=180

x = 42 (vertical angles)

Solve for y: (Find z first, then use triangle sum theorem)

68+48+z=180

y = 64

Solve for z: (triangle sum theorem)

22+90+z=180

z=68

Answer:

58cups

Step-by-step explanation:

Given the equation for the line as c = 2t - 89

If the temperature is 74 degrees, then we can find the number of cups at this temperature;

Substitute t = 74 unti the expression

x = 2(74) - 89

c = 147 - 89

c = 58cups

Hence the number of cups of lemonade is 58cups

Answer:

99/8

Step-by-step explanation:

Please refer to the attachment

Answer:

6.66666667E-5

hope this helped a bit!

Answer:

11). x = 25.8°

12). x = 67.3°

Step-by-step explanation:

11). By using sine rule in the given triangle,

   cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(x) = [tex]\frac{27}{30}[/tex]

   x = [tex]\text{cos}^{-1}(\frac{9}{10} )[/tex]

   x = 25.84

   x ≈ 25.8°

12). By applying tangent rule in the given triangle,

    tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(x) = [tex]\frac{43}{18}[/tex]

    x = [tex]\text{tan}^{-1}(\frac{43}{18} )[/tex]

    x = 67.29°

    x ≈ 67.3°  

Answer:

C. Shift the graph 5 units up.

Step-by-step explanation:

vertical translation 5 units up

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³

Answer:

n=82

m=98

e=98

Step-by-step explanation:

n is vertical to 82

180-82=m and e because they are suplementery angles

Answer:

∠n = 82°

∠m = 98°

∠n = 98°

Step-by-step explanation:

∠n = 82° because it is alternate to 82°

total circle = 360°

∠l =∠m

2∠m = 360° - 82° - 82° = 196°

∠m = 98°

∠n = 98°

Answer:

it woulb be 1.25

Well, there is one for you, the. there is your five friends which both recieve one. if you don't want to give one to yourself and just ur friends you divide 6 and 5 they all would get 1.2

Answer:

Step-by-step explanation:

i think it's D i have the same test today

Answer:

C cause it has to be 54 then the median is 58

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

9 multiplied by 2 equals 18.

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

pi

Step-by-step explanation:

to convert angles to radians you must multiply the angle measurement by the formula pi/180

180 x pi/180

the 180s cancel out and you are left with pi

Answer:

3.14159 Radian

Step-by-step explanation:

3.142rad × 180/π = 180°

Step-by-step explanation:

5/6×12..1/5 x 100cm(1m)

i think so dont hate me

Answer:

D

Step-by-step explanation:

2y=10x

Divide both sides by 2.

y=5x

Now substitute this into the second equation.

Answer:

b. [tex]x^2/64 - 5y^2/36=1[/tex]

Step-by-step explanation: a p e x

Answer:

Natalie walked for 4 minutes because 16 divided by 2 is 4

Answer:

8

Step-by-step explanation:

16/2=8

Answer: To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

Step-by-step explanation:

Answer:

43

Step-by-step explanation: