#10:
The weight (in pounds) of each wrestler on the high
school wrestling team at the beginning of the season is
listed below.
178 142 112 150 206 130
Two more wrestlers join the team during the season.
The addition of these wrestlers has no effect on the
mean weight of the wrestlers, but the median weight
of the wrestlers increases 3 pounds.
Determine the weights of the two new wrestlers.

Answer: It describes the direction and the steepness of the line.

Step-by-step explanation:

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

More can be learned about geometric sequences at brainly.com/question/24643676

#SPJ1

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

Answer: 6

Step-by-step explanation:

You would divide the number by the other number to get the awnser

Answer: 24 nights in total

Step-by-step explanation: 48 divided by 8=6 and so six sets in total and to get the number of days you times 6x4 and you get 24 days in total. Also to check the answer 4 is half of 8 and 24 is half of 48

Answer:

see below

Step-by-step explanation:

are the rational numbers a subset of all real numbers?

yes of course

by definition the real numbers is the union of the rational numbers and the irrational numbers

so we can say that the rational numbers are a subset

and every rational number is part of the real number

are the rational numbers a subset of the irrational numbers?

No

the rationals numbers are all those numbers that you can write as p/q with q different of 0, and the irrationals numbers are those that you cannot write as a fraction

so as you can see those are two completely different types of number, to be a subset every rational number must be in the irrationals , and by the definition we know it can't happen

Rational numbers are a subset of all real numbers while rational numbers are not a subset of irrational numbers.

Real numbers encompasses all rational and irrational numbers, integers, whole numbers and natural numbers with the exclusion of complex numbers usually written in the form 8+i, √-1.

Hence, real numbers include numbers such as 1/4, 0.444, 0, 1, - 4, √6 and so on.

Hence, rational numbers are a subset (a part) of all real numbers .

Rational numbers are not a subset of irrational numbers as they are complement (a rational number cannot be irrational and vice versa) of one another.

• Rational numbers are numbers which can be expressed in the form a/b where b ≠ 0. While ;

• Irrational numbers are numbers which o cannot be expressed in the format a/b. Irrational numbers include √6, 0.13412... e.t.c

Learn more : https://brainly.com/question/15815501

Step-by-step explanation:

for a quadratic equation

y = ax² + bx + c

the x value for the axis of symmetry is

x = -b/(2a)

in our case

y = 2x² - 4x + 5

a = 2

b = -4

x = - -4/4 = 4/4 = 1

x = 1 is the correct answer.

Answer:

the factor is 3/1

Step-by-step explanation:

2.5 goes into 7 3 times.

duh lol

The third side of the triangle have to greater than the difference of the two provided sides.

A triangle is polygon with 3 edges and 3 vertices.

So possible answers could be:

Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

We are given:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, and then the mean age of 6 people is 17.

We need to find the age of person who entered the room.

The formula to calculate mean is: \(Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\)

Now, in question we are given mean of 6 people that is 17

The age of 5 people are given while age of one person who enters the room is unknown.

Let age of person whose age is unknown= x

Now finding x using mean formula

\(Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15\)

So, The value of x: x=15

Hence, the age of the person who entered the room is 15

Answer:

Option B, The sample space has 12 different outcomes

Step-by-step explanation:

Step 1:  Determine which of the following is true

Option A → Heads and an even number are very likely outcomes → This is false, although both of these can occur they don't occur "very likely"

Option B → The sample space has 12 different outcomes → This is the correct option because we take the 2 sides of a coin and multiply it by the 6 sides on a number cube which would give us 12 different outcomes in the sample space.

Option C → The sample space has 8 different outcomes → This is false because it doesn't follow the rules of finding the sample space.

Option D → Each result is equally likely → This is false because a coin flipped can land on heads or tails which is 50% while a number cube is usually between 1-6 meaning that there is a 16.667% chance of landing on a number.

Answer: Option B, The sample space has 12 different outcomes

Option B → The sample space has 12 different outcomes → This is the correct option because we take the 2 sides of a coin and multiply it by the 6 sides on a number cube which would give us 12 different outcomes in the sample space.

: Option B

Answer:

3.3

Step-by-step explanation:

33 x .10 = 3.3

Answer:

i say the answer is either 1/2 because true or false or 5/10 because you have a 50/50 chance but im more on the 1/2

Step-by-step explanation:

mark  brainlest please

Answer: its 51.74

Step-by-step explanation: I just did it

Answer:

c) 1:3

Step-by-step explanation:

Since 16 watermelons cost $48, the cost of 1 watermelon is 48 / 16 = $3.

Hence 1 : 3

Step-by-step explanation:

The parallel line will have an equation of the form

\(y = -\dfrac{1}{2}x + b\)

We solve for b by plugging in the values of the point (3, -4):

\(-4 = -\dfrac{1}{2}(3) + b\)

\(\Rightarrow -8 = -3 + 2b\)

Solving for b, we get

\(b = -\dfrac{5}{2}\)

Therefore, the equation of the line parallel to 2x + 4y = 10 is

\(y = -\dfrac{1}{2}x -\dfrac{5}{2}\)

In standard form we can write

\(x + 2y = -5\) or \(2x + 4y = -10\)

Answer:

A rhombus is both a rectangle and a rhombus. All the sides are equal and each angle measure 90 degrees. So yes it can be a rhombus.

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

A squares angles are all 90 degree, a rhombus however, has perpendicular angles crossing each other that are equal to 90 degress.

Answer:

24.1

Step-by-step explanation:

Use trigonometric ratios:

1) Set your calculator to degrees.

2) Since 15 degrees is given, use it in the tangent ratio, opposite over adjacent, which, in this case, is (x / 90)

3) Set up the equation:

        \(tan(15) = \frac{x}{90}\)

4) Multiply by 90 to isolate x:

        \(90(tan(15)) = x\)

5) Solve with a calculator to get

        x ≈ 24.1

use a factor tree to get 2x2x5

2²x5

\(\huge\underline{\boxed{\bold{Hello\;there!}}}\)

20 as a product of primes:

2×2×5

Remember, primes have only two factors.

2 is only divisible  by 1 and itself, and it's the only even prime number.

5 is also divisible by 1 and itself.

If we multiply 2 times 2 times 5, we will get 20.

\(\huge\boxed{\mathfrak{Answer:{\boxed{\boxed{2*2*5}}}}}\)

\(\bigstar\) I really hope it helps you!

\(\bold{Have\;a\;wonderful\;day!}\)

\(\rm{FabulousKingdom :-)\)

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89

Total receipt= $17.92

4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts

Cost of chocolate chips = $2.59

Cost of 4 bags of chocolate chips = 4($2.59)

= $10.36

Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips

= $17.92 - $10.36

= $7.56

Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4

= $7.56 / 4

= $1.89

Therefore, each bag of walnut cost $1.89

Read more on cost:

https://brainly.com/question/19104371

#SPJ1

Answer: Step 1: Divide 17.92 by 4

              Step 2: Subtract 2.59 from 4.48

Step-by-step explanation:

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

Learn more about the total Surface Area of the Cone :

https://brainly.com/question/15153049

Answer:

$3062

Step by Step Explanation:

Arturo's rent can also be written as an expression

2t + 50

This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.

So 2(1506) + 50

3012 + 50

3062

Answer:

The answer is "4.8, 3.84, and 1.96".

Step-by-step explanation:

Given:

\(\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\\)

By using the binomial distribution:

\(\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96\)

The following expression can be expressed as 3/4x + y/2 (4x) + y/2 using the distributive property (7).

Floating point, also called to as "b raised to that same nth power," is a mathematical operation that requires two numbers: a ground number, b, and an exponent, or force, n. It is represented by the sign bn. A number's exponent reveals how many times that number has been multiplied by itself. For instance, the number 2-3 (read as 23) means 2 × 2 x 2 = 8. 2 + 3 = 6 does not equal 23. Remember that an integer multiplied by one equals itself. Exponents are a method for expressing large numbers as powers. The amount that illustrates how many times a number has been doubled by itself is called an exponent. As an example, multiplying 6 by 4 results in 6 x 6 x 6.

given

A power of a power is sped up by multiplying the exponents while maintaining the base constant.

As an illustration, (23)5 = 215 (xa)b= xa b for any positive number x and integers a and b.

Rephrase this as:

3/4x + y/2 (4x + 7).

The following expression can be expressed as 3/4x + y/2 (4x) + y/2 using the distributive property (7).

To know more about exponents visit:

https://brainly.com/question/3987569

#SPJ1

The complete question is :-

Simplify the expression property of exponents of  3/4x + y/2 (4x + 7).

Answer:

y = -2x + 9

Step-by-step explanation:

I'm going to use the points

(1,7) and (4,1)

1-7/4-1 = -2 = m

y - 7 = -2 (x - 1)

y - 7 = -2x + 2

y = -2x + 9

Answer:

5/10

Step-by-step explanation:

To solve this problem we find equivalent fractions with the same denominator:

The LCM of 10,100 and 1000 is 1000. So we make all the denominators 1000:

5/100 = 50/1000

5/10 = 500/1000

24/1000 = 24/1000

Now we compare the numerators and see which is the largest number.

24 < 50 < 500

So 5/10 must be the greatest.

Hope this helped and brainliest please

Answer:

Step-by-step explanation:

From the information given:

The joint density of \(y_1\)  and  \(y_2\) is given by:

\(f_{(y_1,y_2)} \left \{ {{y_1+y_2, \ \ 0\ \le \ y_1 \ \le 1 , \ \ 0 \ \ \le y_2 \ \ \le 1} \atop {0, \ \ \ elsewhere \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \right.\)

a)To find the marginal density of \(y_1\).

\(f_{y_1} (y_1) = \int \limits ^{\infty}_{-\infty} f_{y_1,y_2} (y_1 >y_2) \ dy_2\)

\(=\int \limits ^{1}_{0}(y_1+y_2)\ dy_2\)

\(=\int \limits ^{1}_{0} \ \ y_1dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2\)

\(= y_1 \ \int \limits ^{1}_{0} dy_2+ \int \limits ^{1}_{0} \ y_2 dy_2\)

\(= y_1[y_2]^1_0 + \bigg [ \dfrac{y_2^2}{2}\bigg]^1_0\)

\(= y_1 [1] + [\dfrac{1}{2}]\)

\(= y_1 + \dfrac{1}{2}\)

i.e.

\(f_{(y_1}(y_1)}= \left \{ {{y_1+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.\)

The marginal density of \(y_2\) is:

\(f_{y_1} (y_2) = \int \limits ^{\infty}_{-\infty} fy_1y_1(y_1-y_2) dy_1\)

\(= \int \limits ^1_0 \ y_1 dy_1 + y_2 \int \limits ^1_0 dy_1\)

\(=\bigg[ \dfrac{y_1^2}{2} \bigg]^1_0 + y_2 [y_1]^1_0\)

\(= [ \dfrac{1}{2}] + y_2 [1]\)

\(= y_2 + \dfrac{1}{2}\)

i.e.

\(f_{(y_1}(y_2)}= \left \{ {{y_2+\dfrac{1}{2}, \ \ 0\ \ \le \ y_1 \ \le , \ 1} \atop {0, \ \ \ elsewhere \ \\ \ \ \ \ \ \ \ \ } \right.\)

b)

\(P\bigg[y_1 \ge \dfrac{1}{2}\bigg |y_2 \ge \dfrac{1}{2} \bigg] = \dfrac{P\bigg [y_1 \ge \dfrac{1}{2} . y_2 \ge\dfrac{1}{2} \bigg]}{P\bigg[ y_2 \ge \dfrac{1}{2}\bigg]}\)

\(= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} f_{y_1,y_1(y_1-y_2) dy_1dy_2}}{\int \limits ^1_{\frac{1}{2}} fy_1 (y_2) \ dy_2}\)

\(= \dfrac{\int \limits ^1_{\frac{1}{2}} \int \limits ^1_{\frac{1}{2}} (y_1+y_2) \ dy_1 dy_2}{\int \limits ^1_{\frac{1}{2}} (y_2 + \dfrac{1}{2}) \ dy_2}\)

\(= \dfrac{\dfrac{3}{8}}{\dfrac{5}{8}}\)

\(= \dfrac{3}{8}}\times {\dfrac{8}{5}}\)

\(= \dfrac{3}{5}}\)

= 0.6

(c) The required probability is:

\(P(y_2 \ge 0.75 \ y_1 = 0.50) = \dfrac{P(y_2 \ge 0.75 . y_1 =0.50)}{P(y_1 = 0.50)}\)

\(= \dfrac{\int \limits ^1_{0.75} (y_2 +0.50) \ dy_2}{(0.50 + \dfrac{1}{2})}\)

\(= \dfrac{0.34375}{1}\)

= 0.34375

Answer:

A customer asks for two money orders. The first is for the amount of $637.24 and the second

is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the

customer would owe you?

A customer asks for two money orders. The first is for the amount of $637.24 and the second

is for $25.76. If there is a $1.00 charge for each money order, what is the total amount the

customer would owe you?

Answer:

\(7 + (-8)\)

Step-by-step explanation:

Given

\(7 - 8\)

(a): Write as additive inverse.

An additive inverse is of the form a + (-b)

In this case:

\(a = 7\)

\(b = -8\)

So, the expression can be represented as:

\(7 + (-8)\)

(b): Number line representation

When the expression in (a) is solved.

The result is:

\(7 - 8 = 7 + (-8) = -1\)

This means that the number line must accommodate 7 and -1.

Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.

Option (d) is a wrong representation of \(7 - 8\)

Hence, (a) is correct