1. A sample of 250 high-school students in a city results in an average number of text messages sent per month of 172.6, with a margin of error of + 4.8. If there are 3000 high-school students in the city, what is the estimated number of text messages sent in a month? between______ and____text messages ​

The experimental probability is B. 70/167. This means that out of all of the coupons drawn, 70 were $5 coupons.

The theoretical probability is the probability of an event occurring without taking into account any experimental data.

This is the experimental probability that a $5 coupon is the next coupon drawn.

The total number of coupons drawn is 167.

Of this total, 70 were $5 coupons.

Therefore, the experimental probability = 70/167.

This means that out of all of the coupons drawn, 70 were $5 coupons.

In this case, it would be the probability of a $5 coupon being drawn without taking into account the actual number of $5 coupons that have been drawn. The theoretical probability for this example would be the number of $5 coupons divided by the total number of coupons in the bag, which would be 50/160.

The experimental probability takes into account the actual number of $5 coupons that were drawn, while the theoretical probability does not.

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To find the position that is opposite to +4, we need to consider 0 as a "mirror point", then we check which point has the same distance to 0 as the distance from +4 to 0:

The position which is opposite to +4 is the position -4.

This position is 4 units to the left of 0 and 8 units to the left of +4.

Looking at the options, the correct option is the second one.

Answer:

Step-by-step explanation:

Point A  , P1 ( 11,-2) in the form (x1,y1)

Point D, P2(-8,9)   in the form (x2,y2)

find the distance  ( use distance formula )

d = sqrt [ (x2-x1)^2 +( y2-y1)^2 ]

d = sqrt [ (-8-11)^2 + ( 9-(-2))^2 ]

d = sqrt [ (-19)^2 + ( 9+2)^2 ]

d = sqrt [ 361 + ( 11)^2 ]

d = sqrt [ 361 + 121 ]

d = sqrt [ 482 ]

d = 21.8544

multiply that number by 15 for the miles

15*21.8544 = 329.317 miles

Answer:

y = 15x + 20 or 15x - y + 20 = 0

x = 11

Step-by-step explanation:

Line is passing through the points (0, 20) & (2, 50)

Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15

Equation of line

y - 20 = 15(x - 0)

y - 20 = 15x

y = 15x + 20 or 15x - y + 20 = 0

Plug y = 185 in above equation, we find:

185 = 15x + 20

185 - 20 = 15x

165 = 15x

x = 165/15

x = 11

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

24/100

cause you have to add 20 + 4 and then just add the 100

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Answer:

1.41421356237

Step-by-step explanation:

-3 + 5 = 2

square root of 2 = 1.41421356237

Since (x-2) has a remainder of 1., we can also say that when x=2, P(X)=10. This because of a statement in the Polynomial remainder theorem.

Then, substituing x=2 and P(X)=10, we can isolate k:

Answer:

\((g\ o\ f)=-20x+10\)

Step-by-step explanation:

One is given the following functions:

f(x) =5x + 2

g(x) = 4x + 2

One is asked to find the following:

\((g\ o\ f)(x)\)

One can rewrite this operation as the following:

g(f(x))

In essence, one substitutes in function (g) in place of the parameter (x), and solves to find the new function formed.

\(g(f(x))\\\\=g(-5x+2)\\\\=4(-5x+2)+2\)

Simplify, distribute, multiply every term in the parenthesis by the term outside of it, then simplify,

\(=-20x+8+2\\\\=-20x+10\)

Answer:

Pizzas are $15

Sandwiches are $8

Step-by-step explanation:

Write a system of equations

Pizza = x

Sandwiches = y

2x + 4y = 62

4x + 10y = 140

Isolate a variable in one of the equations

2x = 62 - 4y

x = 31 - 2y

Plug isolated x value into other equation

4(31-2y) +10y = 140

124 - 8y + 10y = 140

Simplify

2y = 16

y = 8

Plug y value into equation to solve for x

2x + 4(8) = 62

2x + 32 = 62

2x = 30

x = 15

hello

the answer to the question is:

x³ - 3x² + 3x - 1 > (3/2)x(x - 1)² ---->

(x - 1)³ > (3/2)x(x - 1)² ----> x - 1 > (3/2)x ---->

(1/2)x < - 1 ----> x < 2

Answer: 16

Step-by-step explanation:

The perimeter of the triangle is \(2x+2x+x-8=5x-8\).

The perimeter of the square is \(4(x+2)=4x+8\).

Setting the perimeters equal to each other,

\(5x-8=4x+8\\\\x-8=8\\\\x=16\)

Answer:

Attaching answer for 1 below!!

2. C. -- y=2x+9

3. B. -- y=5/3x+3

Step-by-step explanation:

1.  First screenshot below

2. To convert standard equations (Ax+By=C)  to slope intercept (y=mx+b), what you do is preform inverse operations on A to both sides (modeled below).  Then, the equation will look like this; By= -Ax+C.  The last thing you need to do to cancel out B from the y is divide both sides by B, and you'll have your answer.  So, I did that exact process with the equation and that's how I got C.  Now, when you have no number next to the y, you don't need to divide, so it's a very simple process that way.

-2x+y=9

+2          +2

3.  Same process for 2, except this time we divided by 3.

When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.

A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.

Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.

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Answer:

0.02

Step-by-step explanation:

5/69.12=0.0723

3/69.12=0.0434

0.0723-0.0434=0.0289

=0.02

Answer:

A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle

Step-by-step explanation:

to determine if a triangle is a right triangle using slopes, you have to understand perpendicular slopes/negative reciprocals.

You can calculate the slope of all 3 sides of the triangle and if two of the slopes are negative reciprocals, then those two lines intersect creating a right angle/right triangle.

Let's say there's triangle ABC.

If the slope of AB is 1/2

and the slope of BC is 2/5

and the slope of CA is -2/1

then AB and CA intersect resulting in a right angle (triangle).

Answer:

yep that is totally true

Answer: 12 x 12 +144

Step-by-step explanation:

Answer:

6.8 gallons per day vhuwhbehkq i had to put those random letter because it had to be 20 letters or more

Answer:

11/13

Step-by-step explanation:

1 2/11=13/11

13/11 reciprocal=11/13

Answer:

The right table is the one at the top left corner

Step-by-step explanation:

hope this helps

Answer:

I think its the first one

Using trigonometric ratio, the value of tan V is √7 / 8

To find the value of tan V, we have to use trigonometric ratio.

In the triangle, we have the opposite side and the hypothenuse. We can find the adjacent side using Pythagoras theorem.

Substituting the values into the formula;

w² = v² + x²

(√71)² = (√7)² + x²

71 = 7 + x²

x² = 71 - 7

x² = 64

x = √64

x = 8

The value of tan V;

tan V = opposite /adjacent

tan V = √7 / 8

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If triangle ABC is translated 5 units down, the coordinates of the image vertices are A′(1, −7), B′(9, −7), C′(5, −3).

The correct option among the given choices is A′(1, −7), B′(9, −7), C′(5, −3).

To determine the coordinates of the image if triangle ABC is translated 5 units down, we need to subtract 5 from the y-coordinate of each vertex of the triangle.

The given vertices of triangle ABC are A(1, -2), B(9, -2), and C(5, 2).

To translate the triangle 5 units down, we subtract 5 from the y-coordinate of each vertex.

The new coordinates of the vertices after the translation are:

A': (1, -2 - 5) = (1, -7)

B': (9, -2 - 5) = (9, -7)

C': (5, 2 - 5) = (5, -3)

Therefore, the correct option among the given choices is A′(1, −7), B′(9, −7), C′(5, −3).

In summary, if triangle ABC is translated 5 units down, the coordinates of the image vertices are A′(1, −7), B′(9, −7), C′(5, −3).

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Answer:

The correct function is

\(f(b) = {b}^{2} - 4\)

Answer:

The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?

width=x

length=2x+5

perimeter=88=2L+2W

so half perimeter=44=L+W

x+2x+5=44

3x=39

x=13 cm width ANSWER

2x+5=31 cm length

The width of the rectangle is Width, W = 13 centimeters.

Given the following data:

Translating the word problem into an algebraic equation, we have;

\(L = 2W + 5\)

To find the width of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

\(P = 2(L + W)\)

Substituting the values into the formula, we have;

\(88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}\)

Width, W = 13 centimeters.

Therefore, the width of the rectangle is Width, W = 13 centimeters.

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Answer:

k = 10

Step-by-step explanation:

9 - 5k = 12 - (6k + 7)

open the parenthesis

9 - 5k = 12 - 6k - 7

add 6k to both sides of the equation

9 - 5k + 6k = 12 - 6k - 7 + 6k

combine like terms

9 + k = 19

subtract 9 from both sides of the equation

9 + k - 9 = 19 - 9

k = 10

Answer:

Perimeter = 25

Step-by-step explanation:

J(-2, 5)

K(1, 1)

L(1, -1)

M(-5, -4)

N(-5, 1)

Formula for distance between 2 coordinates is;

d = √((x_2 - x_1)² + (y_2 - y_1)²)

Thus;

JK = √((1 - (-2))² + (1 - 5)²)

JK = √25

JK = 5

KL = √((1 - 1)² + (-4 - 1)²)

KL = √25

KL = 5

LM = √((-5 - (-1))² + (-4 - (-1))²)

LM = 5

MN = √((-5 - (-5))² + (1 - (-4))²)

MN = 5

JN = √((-5 - (-2))² + (1 - 5))²)

JN = 5

Thus;

Perimeter = 5 + 5 + 5 + 5 + 5

Perimeter = 25

Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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Answer:

-16n - 13

Step-by-step explanation:

(2n-9) - (18n + 4)

1) Apply rule: (a) = a

  = 2n - 9 - (18n + 4)

2) Apply the distributive law

   = 2n - 9 - 18n - 4

3) Group like terms

    = 2n - 18n - 9 - 4

4) Subtract the numbers

    = 2n - 18n - 13

5) Add similar elements

   -16n - 13