Scores on the SAT Mathematics test (SAT-M) are believed to be Normally distributed with mean µ. The scores of a random sample of three students who recently took the exam are 550, 620, and 480. A 95% confidence interval for µ based on these data is

Answer:

[tex]13194.7\ mm^2[/tex]

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]

Answer:

1/6

Step-by-step explanation:

Hope it helps plz give brainliest! :D

[tex]3\frac{1}{3}[/tex]   divided by 20 in simplest form we get 3/2.

Here we have to divide,

[tex]3\frac{1}{3}[/tex]  by 20

Now the given mixed fraction,

[tex]3\frac{1}{3}[/tex] = 10/3

Now we have to evaluate,

10/3 ÷ 20

Since we know that,

To divide two fractions,

Follow the procedures below when splitting two mixed fractions. Transform the mixed fraction into the incorrect fraction. Now multiply the first and second fractions by the reciprocal of the second fraction (i.e., divisor).

Therefore,

10/3 x 1/20 = 3/2

Hence,

[tex]3\frac{1}{3}[/tex]  by 20 = 3/2

To learn more about division visit:

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Answer:

1.anlyatical engine

2.difference engine

Answer:

Inventions of Charles Babbage :

Answer:

Step-by-step explanation:

for missing angle of triangle ABC

let the missing angle be y

31+111+x=180(sum of interior angle of a triangle is 180 degree)

142+y=180

y=180-142

y=38 degree

x=y(being alternate angles)

x=38 degree

Answer:

90°

Step-by-step explanation:

m arc AC = 90°

_____________

The measure of the arc length AC is 90 degrees.

The arc length of a circle is the distance between two points on the curve of the circle.

We have,

The arc length and the angles with the center on a circle are equal.

So,

Arc length AC makes a 90-degree angle with the center of the circle.

Now,

Arc AC = 90 degrees.

Thus,

The measure of the arc length AC is 90 degrees.

Learn more about arc lengths here:

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Answer:

So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}

Step-by-step explanation:

Here multiplicative property will be used .

a*1/a= 1

1* a/1= a   ( reciprocal)

23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to

get the original number.

23/147 yd*147/2 × 3/14*147/2

23/2 yds  × 441/28

11 1/2 yds × 15 3/4

So the dimensions are 11 1/2 yds × 15 3/4  11 whole number 1 by 2  multiplied by 15 whole number 3 by 4.

The correct answer is n - 7 = 30

Answer:

Just two corrections!  See attached image.

Step-by-step explanation:

The product of 8 and b taken from 10 means begin with 10 and subtract 8b from it.

8 times the difference of 10 and b means find 10 - b first, then multiply by 8.

Answer:

(1, -2)

Step-by-step explanation:

The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.

For your given point (2, -4) with a scale factor of 0.5:

2 times 0.5 = 1

-4 times 0.5 = -2

Therefore your new point will be (1, -2).

Answer:

Step-by-step explanation:

let chloe revise maths for x minutes

3/2=x/30

do cross multiplication

2x=30*3

x=90/2

x=45

therefore chloe takes 45 minute to revise maths.

So sin in math means:

In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse. The abbreviation is sin.

Con in math means:

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse.

in this case it has to be a sin. So its either A, or B.

ii think a tho

Answer:

(a)

Step-by-step explanation:

Sin (37) = x/10.3

using trigonometric identity (Sin θ = AC/AB)

Answer:

7

Step-by-step explanation:

When you are raising a power to a power, you can multiply them:

[tex](49^3)^{\frac{1}{6}}=49^{3*\frac{1}{6}}[/tex] = [tex]49^{\frac{3}{6}}[/tex] = [tex]49^{\frac{1}{2}}[/tex]

When raising a number to the power of 1/2, you are basically finding the square root of the number:

[tex]49^{\frac{1}{2}}[/tex] = [tex]\sqrt{49}[/tex] = 7

a = 3√3

a = 3 × 1.732

a = 5.196

a = 5.2 inches

Answer:

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Answer:

x = 9

Step-by-step explanation:

When two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lenfgths of the segments of the other chrod.

That means that

2x = 3 × 6

2x = 18

x = 9

Answer:

[tex]15,000\:\mathrm{mm^3}[/tex]

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by [tex]V=s^2\cdot h[/tex], where [tex]s[/tex] is the base length and [tex]h[/tex] is the height. Substituting given values, we have: [tex]V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}[/tex]

The volume of a trapezoidal prism is given by [tex]V=\frac{b_1+b_2}{2}\cdot l\cdot h[/tex], where [tex]b_1[/tex] and [tex]b_2[/tex] are bases of the trapezoid, [tex]l[/tex] is the length of the height of the trapezoid and [tex]h[/tex] is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases ([tex]\frac{b_1+b_2}{2}[/tex]) multiplied by the trapezoid's height ([tex]l[/tex]).

Substituting given values, we get:

[tex]V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}[/tex]

Therefore, the total volume of the composite figure is [tex]5,880+9,120=\boxed{15,000\:\mathrm{mm^3}}[/tex] (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

[tex]V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark[/tex]

Answer:

k = 24·√2

Step-by-step explanation:

Given that the angles of the triangle are 45° by 45 by 90°, we have;

The given right triangle = An isosceles right triangle by two angles being equal

The given angle of the right triangle = 90°

The given leg of the right triangle = 24

For an isosceles right triangle, both legs are equal, therefore;

The length of the other leg of the right triangle = 24

By Pythagoras theorem, the measure of the side opposite the 90° side, 'k', is given as follows;

k² = (One leg length)² + (The other leg length)²

∴ k² = 24² + 24² = 1152

k = √1152 = 24·√2 ≈ 33.94.

Answer:

13 i think

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Ratio of oranges to tangerines : 5/3

Oranges in box : 20

Tangerines in box : x

Oranges/Tangerine ratio = Oranges/Tangerine in box

5/3 = 20/X

Answer:

0.5, 0.9, 1.3, 1.7, 2.1, 2.5, 2.9, 3.3, 3.7, 4.1

Now you can add them all

which is equal to 23

Step-by-step explanation:

Answer:

2x-2+2x-2+x+x=50

6x-4=50

6x=54

x=9

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

175 ways

Step-by-step explanation:

5 balls are red, and 7 balls  are blue making a total of 12 balls.

4 balls are drawn from the box,

1 ball is red and 3  balls are blue out of the 4 drawn from the box.

We have to choose 1 ball from 5 red balls and 3 blue balls from 7 blue balls.

Since the order is not essential we use combinations to find out

5C1 * 7C3= 5*35 = 175 ways

Answer:

(1/2)^2= 0.25 thank you

Answer:

x=20

Step-by-step explanation:

First, find LJ

Angle L = 60 (180 - 30 - 90)

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(L)=adj/hyp

cos(60)=LJ/40√2

LJ = cos(60)*40√2

LJ = 20√2

Now you can use LJ to find x. You also know the value of each angle, 45

x=20√2⋅cos(45)

x=20

Answer:

2x²−13x+21

Step-by-step explanation:

Answer: x+4/x-4

Step-by-step explanation:

Answer:

[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]

Step-by-step explanation:

Simplify each term.

Answer:

it's 19 degrees because it's a 90 degree angle

Answer:

19 degrees

Step-by-step explanation:

90-71=is 19 because it is a 90 degree angle.