Find the Mode:
88, 82, 81, 89, 77, 95
89, 90, 81, 75

Answer:

[tex]F=6.83\times 10^{-10}\ N[/tex]

Step-by-step explanation:

Given that,

The masses of two balls = 0.8 kg

The distance between masses = 0.25 m

We need to find the gravitational force between the two balls. The formula for the gravitational force is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{0.8^2}{(0.25)^2}\\\\F=6.83\times 10^{-10}\ N[/tex]

So, the force between the balls is equal to [tex]6.83\times 10^{-10}\ N[/tex].

Answer:

Step-by-step explanation:

I can't see the factorisation that the students did. That is, Danny, Carlos and Irene. You either forgot to upload, or you couldn't.

However, I will factorise the expression for you, while you check you book to know who did the exact same factorisation.

28x - 8

This equation can be factorised when divided by 2, into

2(14x - 4)

At the same time, it can be factorised when divided by 4, into

4(7x - 2)

Basically, either of the students who choose between 2(14x - 4) and 4(7x - 2) is/are whom you'd pick for your answer.

Answer:

Hello your question has some missing information below is the missing information

Sample mean  and Sample standard deviation

Bass 70.99  and   2.52

Tenor 69.41   and  2.79

answer : We will reject H0

Step-by-step explanation:

Determine whether the population mean height of bass singers > population mean height of tenor singers

n1 = 64 ,   n2 = 42

x1 ( mean ) = 70.99

x2( mean ) = 69.41

S1 ( std 1 ) = 2.52

S2 ( std 2 ) = 2.79

We will perform a two tailed test hence we will state the null and alternate hypothesis

H0 : μ1 > μ2

H1 : μ1 < μ2

significance level = 0.01

next calculate the test statistic

t = 2.96

attached below is the remaining part of the detailed solution

Answer:

Clockwise rotation

Step-by-step explanation:

Took the test, the other answer here was incorrect

Answer:

table two

Step-by-step explanation:

The increase rate for table one is constant that's why it is a linear function

In the second table, however, the increase rate increases as x increases, it is not constant; therefore, table two is a quadratic function.

Answer:

4cm

Step-by-step explanation:

Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

A regular decagon is a polygon with ten sides of equal length and ten angles of equal measure.

To find the length of each of the other sides, we can use the fact that a regular decagon can be divided into ten congruent isosceles triangles.

The isosceles triangle can be split into two right triangles by drawing an altitude from the vertex opposite the base to the midpoint of the base.

Let's call the length of one of the equal sides of the isosceles triangle "s", and let's call the length of the altitude "h".

Then we can use the Pythagorean theorem to find the length of the other side:

s² = h² + (s/2)²

We can solve for "h" in terms of "s" as follows:

h² = s² - (s/2)²

h² = (4s²)/4 - s²/4

h² = (15s²)/16

h = (s√15)/4

Since the altitude divides the isosceles triangle into two congruent right triangles, each with a hypotenuse of "s",

We can use the Pythagorean theorem again to find the length of each of the other sides of the regular decagon:

s² = h² + (s/2)²

s² = [(s√15)/4]² + (s/2)²

s² = (15s²)/16 + (s²)/4

s² = (15s² + 4s²)/16

s^2 = (19s²)/16

s = √(19/16) s

s = (√19/4) cm

Therefore,

Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ3

Answer:

60

Step-by-step explanation:

if it has a square in the center of the angle it means it is 90 degrees

so a straight line adds up to 180b

90 +30+x=180

x=60

Answer:

10 times x is 10 x and 10 times -2 is -20 so now we have 10x-20=-20

now we move the 20 over so that 10x=0 so now we can move the ten over so now we just have x=0

Answer:

Step-by-step explanation:

Answer:

24 is awnser

Step-by-step explanation:

Pls mark me as brainliest

Answer:

(x+8)^2

Step-by-step explanation:

x^2 +16x+64

What two numbers multiply to 64 and add to 16

8*8 = 64

8+8 = 16

(x+8)(x+8)

(x+8)^2

Answer:

median = 62.5, average = 66.25

Step-by-step explanation:

50, 90 , 62 and 63

median = 50 , 62, 63, 90

62 + 63 / 2

125/2

median = 62.5

average = 50 + 90 + 62 + 63 /4

=265/4

average = 66.25

⬇ Hey bud! I really respect you because you need the answer. Anyways, the answer will be down below! :) ⬇

Answer:

0.20(15+x)=6

Step-by-step explanation:

(0.20)(15) + 0.20x = 6

3 + 0.20x = 6

0.20x = 3

x = 3/0.20

x = 15

Rob's Iunch was $15.

Check it:  

15+15=30  

30x0.20=6

Please mark be brainliest once a second person answers! As I'm trying to move up to Genius and recover my points and brainliest's! It will always be appreciated. If you need any help comment down below so I can help you! Have a great day! :D

Answer:

68 in^2

Step-by-step explanation:

the shape is a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

It has 4 vertices and edges

If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram

Area of a trapezoid =   x (sum of the lengths of the parallel sides) x height

the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² = 6² + height²

100 = 36 + height²

height = 64

the square root of 64 is 8

the height is 8

1/2 x (8 + 9) x 8 = 68in^2

Answer:

radius of semi circle is 16mm.

diameter of semi circle is 32mm.

perimeter of triangle=sum of all sides.

perimeter of triangle = 20mm+20mm+32mm

perimeter of triangle =72mm

perimeter of semi circle=pi×r

perimeter of semicircle = 3.14×16mm

perimeter of semicircle =50.24mm

perimeter of the figure= 72mm+50.24mm=122.24mm

Answer:

1/20

Step-by-step explanation:

The reciprocal just means that you flip the numerator & denominator. Any whole number always has a denominator of 1, so you just flip it to 1/20. Hope this helps!

In order to find the reciprocal of a number, we should flop it over.

Kindly consider the formula for additional details:-

[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]

According to the formula, the reciprocal of 20 is:-

[tex]\sf{The~reciprocal~of~20~is~\frac{1}{20}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

1 < n

Step-by-step explanation:

3(3 - 4n) + 6n < -2n + 5

9 - 12n + 6n < -2n + 5

9 - 6n < -2n + 5

9 < 4n + 5

4 < 4n

1 < n

I hope this is accurate and helpful. Please let me know if it’s correct! It’s been a while since I’ve done inequalities.

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

I have to know what you need help with, maybe post a picture or type the question next time?

Answer:

A: 6 kilo bag B: He should buy two 10 pound bags.

Step-by-step explanation:

Brainliest?

The 6-kilogram pack of sand for $20 is a better value. Then the amount of money for 18 pounds of sand will be $27.18.

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.

Enzo requirements to get some sand for his sandbox. He can either purchase a 10-pound sack of sand for $18 or a 6-kilogram pack of sand for $20.

The rate in the first case is written as,

⇒ 18/10

⇒ $1.8 per pound

The rate in the second case is written as,

⇒ 20/6

⇒ $3.33 per kilogram

⇒ $1.51 per pound

The 6-kilogram pack of sand for $20 is a better value.

Then the amount of money for 18 pounds of sand will be given as,

⇒ $1.51 x 18

⇒ $27.18

Thus, the amount of money for 18 pounds of sand will be $27.18.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Answer:

yeah it is b

acute and scalene

Step-by-step explanation:

scalene means none of the sides equal

and also all sides are acute angles

Answer:

yep you are correct it would be answer b

Step-by-step explanation:

hope this helped you

Answer:

The correct answer is B. $1,250.95.

Step-by-step explanation:

Given that I have monthly mortgage expenses for $ 897.00 / month, clothing for $ 96.00 / month, food and restaurants for $ 56.00 / week, and telephone for $ 33.95 / month, to determine how much are my fixed expenses for the month, the following calculation must be performed:

897 + 96 + (56 x 4) + 33.95 = X

897 + 96 + 224 + 33.95 = X

1,250.95 = X

So, my fixed expenses for the month are $ 1,250.95.

Answer:

$930.95

Step-by-step explanation:

just took the test

Answer:

A

Step-by-step explanation:

This question is incomplete, the complete question is;

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Assume that the standard deviation for​ "time spent watching television on a​ weekday" is 1.93 hours.

Answer:

the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

Step-by-step explanation:

Given the data in the question;

x" = 1.98  

μ = 2.35  

s = 1.93

n = 45

so, p( x" < 1.98 ) = P( (x" - μ)/(s/√n) )

we substitute in our values,

p( x" < 1.98 ) = P( (1.98 - 2.35) / (1.93/√45) )

= p( -0.37 / 0.2877

= P(  - 1.29 )

from standard normal table,

P(  - 1.29 ) =  0.0985  

Therefore, the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

The area of a circle with a radius of r is [tex]pi r^2[/tex]

Answer:

1/128

Step-by-step explanation:

use formula: an = a1 × r ^ n-1

a1 = 4

r = 0.5

n = 10

a10 = 1/128

Answer:

96 ft²

Step-by-step explanation:

Area of triangle + area of square

Area of triangle = (base × height)/2

= 120/2=60

Area of square = 6 × 6=36

60 + 36= 96