MATHEMATICS HIGH SCHOOL

Nico rolled two number cubes 250 times. use the complement to find the experimantal propability of not rolling a 3 on the blue number cube, NC2.

Answers

Answer 1

Answer:

Answer:

the probability is 0%

Step-by-step explanation:

is there options like

options

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Given that RT ≅ WX, which statement must be true?RT + TW = WX + TW
RT = 2(RX)
WX = 2(RX)
RT + TW = RX

Answers

This statement must be true as RT + TW = WX + TW, which is correct option (A).

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

SSS stands for Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.

Since RT ≅ WX, RT and WX are represent congruent

So we can say that for all kinds of reasons, they are absolutely equal.

Given that, we can substitute RT with WX in the equations and solve them to check which one is valid. The valid equation will be to true statement.

For RT + TW = WX + TW

Substitute RT = WX in the equation

RT + TW = WX + TW

WX + TW = WX + TW

Subtract TW from both sides of the equation

WX + TW - TW = WX + TW -TW

WX = WX

Since RT ≅ WX,

Therefore RT and WX are exactly equivalent and interchangeable as a result, the equation WX = WX is true..

Hence, this statement must be true as RT + TW = WX + TW

Learn more about of congruent triangles here:

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RT + tw = wx + tw is the right answer

The sum of two numbers is 30. Their difference is 6. What are the numbers?6 and 24
12 and 18
10 and 20
8 and 14

Answers

Answer:

Find out the numbers .

To prove

Let us assume that one number be x.

Let us assume that second number be y.

As given

The sum of two numbers is 30.

Than the equation becomes

x + y = 30

Their difference is 6.

x - y = 6

Thus two equation are .

x + y = 30 and x - y = 6

Subtracted x - y = 6 from x + y = 30

x - x + y - (-y) = 30 - 6

y + y = 24

2y = 24

$y = (24)/(2)$

y = 12

Put in the x - y = 6

x - 12 = 6

x = 6 + 12

x = 18

Therefore the two numbers are 12 and 18 .

Okay lets start by getting rid of the ones that don't have a difference of 6. We are now left with '12 and 18' and '6 and 14'. If we take a look we can see that '6 and 14' add up to 20. So it is clear that only '12 and 18' add up to 30 and have a difference of 6.

Predict the number of kilograms in harvest 5.After each harvest, Gloria records the
farm's rice production (in kilograms):
Enter the correct answer.
Harvest
Kilograms
DONE
?
اس اس ام اس
350
700
1400
2800

Answers

Answer:

5600

Step-by-step explanation:

It seems to be multiplying by 2 each harvest, 350*2=700, 700*2=1400, and 1400*2=2800, so logically, the next harvest will be 2800*2, which is 5600.

A dining set is priced at $785. If the sales tax is 7 percent, what is the cost to purchase the dining set? Round to the nearest cent if necessary.$54.95
$792.00
$839.95
$1134.50

Answers

The percentage is calculated by dividing the required value by the totalvalue and multiplying by 100.

Cost of the diningset = $785

Salestax = 7%

7% of $785 = $54.95

Purchase cost = Cost + sales tax

The cost to purchase the diningset is $839.95

Option C is the correct answer.

What is a percentage?

The percentage is calculated by dividing the required value by the totalvalue and multiplying by 100.

Example:

Requiredpercentagevalue = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Cost of the diningset = $785

Salestax = 7%

Purchase cost = Cost + sales tax

Cost to purchase the diningset.

= $785 + 7% of %785

= 785 + 7/100 x 785

= 785 + 54.95

= $839.95

Rounding to the nearestcent,

= $840

Thus,

The cost to purchase the diningset is $839.95

Option C is the correct answer.

Learn more about percentages here:

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The answer is $839.95.Convert sales tax (7%) to decimal (0.07).$785 × 0.07 = $54.95.Then we add $54.95 to $785 to get $839.95.

Which of the following is a polynomial function in standard form with zeros at –8, –1, and 3?A) f(x) = (x + 8)(x + 1)(x – 3)
B) f(x) = x^3 – 6x^2 – 19x + 24
C) f(x) = x^3 + 6x^2 – 19x – 24
D) f(x) = (x – 8)(x – 1)(x + 3)

Answers

Answer:

Option: C is the correct answer.

The polynomial in standard form is:

C) $f(x)=x^3+6x^2-19x-24$

Step-by-step explanation:

The standard form of a equation of a polynomial is written as :

We arrange the terms from least to highest power of x.

We know that if a polynomial has roots as:

a, b and c then the equation of the polynomial is given by:

$f(x)=(x-a)(x-b)(x-c)$

Here we have: a= -8 , b= -1 and c=3

Hence, the equation of the circle is given by:

$f(x)=(x-(-8))(x-(-1))(x-3)\n\n\nf(x)=(x+8)(x+1)(x-3)$

which on expanding gives:

$(x+8)(x+1)(x-3)=(x^2+9x+8)(x-3)\n\n(x+8)(x+1)(x-3)=x^3-3x^2+9x^2-27x+8x-24\n\n(x+8)(x+1)(x-3)=x^3+6x^2-19x-24$

Hence, the standard equation of the polynomial is:

$f(x)=x^3+6x^2-19x-24$

The answer is A because zeros of polynomial functions are found by setting each factor equal to zero and solving for x. The zeros of a function will be the opposite sign of the numbers inside each factor.

Quick i need help!! Please

Answers

Answer:

The third one

Step-by-step explanation:

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