How many participants whose age fall between 31 to 33 years old?​

Answer:

49 - 2y

Step-by-step explanation:

y to represent Vanessa's age.

49 decreased by twice Vanessa's age

decreased by means subtract, twice means 2 times

49 - 2y

Answer: 2.9166666666633333333333333333333

Step-by-step explanation:

Answer:

35/12

Step-by-step explanation:

Answer:

Its 15/17

Step-by-step explanation:

I did it on Khan

Based on the sine ratio, sin (β) in the right triangle is: D. 15/17.

Where the hypotenuse and opposite side lengths are known, the sine ratio is expressed as, sine β = opposite/hypotenuse.

Given the following:

Applying the sine ratio, we have:

sin β = 15/17

Learn more about the sine ratio on:

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Answer:

[tex]P(X \geq 8)=22*10^{-4}[/tex]

Step-by-step explanation:

From The Question we are told that

Prob that population is colourblind [tex]P(C)=0.10[/tex]

Sample size [tex]N=25[/tex]

Generally the equation for Number of color blinds is mathematically given by

  [tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]

  [tex]P(X \geq 8)=22*10^{-4}[/tex]

Answer:

[tex]\frac{27}{100}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{81}{3}%[/tex]%

Now

It can be written as:

[tex]\frac{81}{3}[/tex]%=[tex]27[/tex]%

27%=[tex]\frac{27}{100}[/tex]

Therefore, common fraction will be [tex]\frac{27}{100}[/tex]

Answer:

2500/3

Step-by-step explanation:

[tex]8\frac{1}{3}[/tex] %

=(8*3+1/3) %

=25/3 %

=25/3 / 100

=25/3 *100/1

=2500/3

Answer:

13 1/2

Step-by-step explanation:

9 ÷ 2/3

Copy dot flip

9 * 3/2

27/2

Change from an improper fraction to a mixed number

2 goes into 27 13 times with 1 left over

13 1/2

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

[tex]S=180(n-2)[/tex]

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

1)

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]

2)

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

3)

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

4)

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

Answer:

[tex]z = 6[/tex]

Step-by-step explanation:

Let's solve:

[tex]5(z+1)=3(z+2)+11[/tex]

Step 1: Simplify both sides of the equation.

[tex]5(z+1)=3(z+2)+11 \\ (5)(z)+(5)(1)=(3)(z)+(3)(2)+11(Distribute) \\

5z+5=3z+6+11 \\

5z+5=(3z)+(6+11)(Combine Like Terms) \\

5z+5=3z+17 \\

5z+5=3z+17[/tex]

Step 2: Subtract 3z from both sides.

[tex]5z+5−3z=3z+17−3z \\ 2z+5=17[/tex]

Step 3: Subtract 5 from both sides.

[tex]2z+5−5=17−5 \\ 2z=12[/tex]

Step 4: Divide both sides by 2.

[tex] \frac{2z}{2} = \frac{12}{2} \\ z = 6[/tex]

Answer:

b. pi over 3 ig~~~~~~~~~~~~~~~

Answer:

(b) pi over 3 is correct

Step-by-step explanation:

EDGE 2022

Answer:

Step-by-step explanation:

sams house=6 miles east and 9 mies south

let the distance towards east be a and distance towards south be b

so we have to find straight line distance from sams house to amys house .let it be c(or hypotenuse)

according to the pythagors theorem

a^2 + b^2 =c^2

6^2 + 9^2 =c^2

36 + 91 =c^2

117 =c^2

[tex]\sqrt{117[/tex] =c

10.8=c

the two coordinate points are

(4,12)=(x1 , y1)

(6,2)=(x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(6-4)^2 + (2-12)^2}[/tex]

=[tex]\sqrt{2^2 + (-10)^2}[/tex]

=[tex]\sqrt{4 + 100}[/tex]

=[tex]\sqrt{104}[/tex]

=2[tex]\sqrt{26}[/tex]

=10.1 units

fairy travels=10.1 * 2

=20.2 miles

three sides are 17,8,15

according to the pythagoras theorem

to be right angles triangle square of hypotenuse(longest side) must equal to the sum of square of two other smaller sides

so here 17 is longest and 8 and 15 are two other smaller sides of a triangle

17^2=8^2 + 15^2

289=64 + 225

289=289

since both sides are equal it can be concluded that they form a right angled triangle.

Hope this helps u!!

Answer:

1. option b : 10.8 miles

2. Distance = 10.2 units

   Distance in miles = 20.4 miles

3. Paulie is correct because the measurements satisfies Pythagoras                theorem.

Step-by-step explanation:

1. option b

Let straight line length be x

x² = 6² + 9²

  = 36 + 81

  = 117

x = 10.8 miles

2.

Current location ( 4 , 12 )

 Destination ( 6, 2 )

a)

[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \\\\[/tex]

             [tex]= \sqrt{(4 - 6)^2 + (12 - 2)^2} \\\\= \sqrt{2^2 + 10^2}\\\\=\sqrt{104}\\\\=10.2 \ units[/tex]

b)

Grid (units)     Distance( miles)

   1                     2

  10.2                 x

[tex]\frac{1}{10.2} = \frac{2}{x}\\\\x = 2 \times 10.2\\x = 20.4 \ miles[/tex]

3.

a)

Square of Longer side = sum of squares of other sides

[tex]17^2 = 8 ^2 + 15^2 \\289 = 64 + 225\\289 = 289 \\[/tex]

Yes, Paulie is Correct.

b)

Paulie is correct because the measurements of the sides of triangle satisfies Pythagoras theorem.

Pythagoras' theorem states that for all right-angled triangles, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

Answer:

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p

Expression B: 0.8p

Expression C:1 - 0.2p

Expression D: p - 0.2p

Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Regular price of the item = $p

Sale price = 20% off regular price

Sale price = $p - 20% of p

= p - 20/100 * p

= p - 0.2 * p

= p - 0.2p

= p(1 - 0.2)

= p(0.8)

= 0.8p

The sale price is represented by the following expressions

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

(2n^6)^3=8n^18 cubic units

Answer:

(2 n Superscript 6 Baseline) cubed = 8 n Superscript 18 cubic units

Step-by-step explanation:

edge

Answer:

A =196 m^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = 14^2

A =196 m^2

Answer:

you have it on the correct answer

Step-by-step explanation:

range is the y values, and its the lowest negetive to the highest positive

Answer:

average revenue

gross profit

total revenue

net profit

marginal revenue

Step-by-step explanation:

Answer:

The reasonable amount is $3550 or greater

Step-by-step explanation:

Given

[tex]c=\$50[/tex] ---- shipping fee

[tex]r =\$35[/tex] --- unit selling price

[tex]n \to[/tex] number of orders

[tex]n \ge 100[/tex] ---- domain of order

Required

The reasonable ordering amount

The function for n calculator can be represented as:

[tex]f(n) = r * n + c[/tex]

This gives:

[tex]f(n)=35 * n + 50[/tex]

[tex]f(n)=35n + 50[/tex]

Recall that the domain is: [tex]n \ge 100[/tex]

So, we have:

[tex]f(n)=35n + 50[/tex]   [tex]n \ge 100[/tex]

The reasonable amount of order implies that we calculate the range of the function

[tex]n \ge 100[/tex] implies that the minimum is 100

So:

Substitute 100 for n in [tex]f(n)=35n + 50[/tex]

[tex]f(100) = 35 * 100+50[/tex]

[tex]f(100) = 3500+50[/tex]

[tex]f(100) = 3550[/tex]

So, the range of the function is:

[tex]3550 \le f(n) < \infty[/tex]

Answer:

363

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total amount paid by a member according to this table is

Total Amount Paid = fee + monthly fee(# of months)

Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.

Row 1:

TAP = fee + 15(#months)

135 = fee + 15(4) and

135 = fee + 60 so

fee = $75

Row 2:

165 = fee + 15(6) and

165 = fee + 90 so

fee = $75

Row 3:

255 = fee + 15(12) and

255 = fee + 180 so

fee = $75

Apparently, the fee is $75.

Answer:

x^2 + y^2 = 400

Step-by-step explanation:

The equation for a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2 + (y-0)^2 = 20^2

x^2 + y^2 = 400

Answer:

cosJ = 40/41

Step-by-step explanation:

cosJ = b/h = 40/√(40²+9²)= 40/41

Answer:

9.8x+1.1y+9.9z

Step-by-step explanation:

Hi there!

Perimeter = Sum of all sides

[tex]P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z - 5.1y)[/tex]

Open up the parentheses

[tex]P=5.5x+6.2y+4.3x+8.3z+1.6z-5.1y[/tex]

Combine like terms

[tex]P=5.5x+4.3x+6.2y-5.1y+8.3z+1.6z\\P=9.8x+1.1y+9.9z[/tex]

Therefore, the expression 9.8x+1.1y+9.9z (cm) best represents the perimeter of the triangle.

I hope this helps!

Answer:

answer is c

Step-by-step explanation:

The smallest number is 6034579.

Answer:

6034579 hope this helps!!

explanation:

We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.

Answer:

[2, positive infinity)

Step-by-step explanation:

the range is the interval of possible y-values or f(x) values.

for x<0 y is always and only 3.

for x between 0 and 2, y = x² + 2.

it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.

y = 0² + 2 = 2

for x larger or equal to 2, y = (1/2)×x + 5.

it again increases with increasing x. the smallest x here is 2.

y = (1/2)×2 + 5 = 1 + 5 = 6.

so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.

Answer:

Preetyy sure its D

Step-by-step explanation:

Its not a hollow cylinder

The resulting object will be a solid cylinder. Then the correct option is A.

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

A rectangle and a vertical line are shown. If the rectangle is revolved around the vertical line.

Then the resulting object will be

If the rectangle is rotated about the vertical axis then the resulting shape will be a solid cylinder.

The diagram is shown below.

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Answer:

d=27

Step-by-step explanation:

A total of 14+8=22 dogs were adopted. Since there are 5 left, there were 22+5=27 dogs up for adoption.

Answer:56 degrees

Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.

Answer:

the answer is x = 56 degrees

and your not finding the side lengths

Step-by-step explanation:

there is 2 62 degrees,

meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either

so x = 56

Answer:

No

Step-by-step explanation:

No. You can see why if you remove the brackets.

y=x^2 - 3x.

A linear function must have x and y with powers of 1. Also it can't something like x^2 - y^2 = 5

x^2 - y^2 = 0 is the only exception I can think of, but that really is a system of equations. If you graph it. you get two equations which cross at 0 and nowhere else.