if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
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The two roots are

[tex]\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73[/tex]

Hence the answer is D.

The quotient is the result obtained by dividing one quantity by another.

This means that b/-6 = 18

b = 18*-6

b = -108

Answer:

b = -108

Step-by-step explanation:

Given the mathematical expression, "The quotient of b and -6 is 18":

We could represent the given mathematical expression as follows:

b ÷ -6 = 18  or   [tex]\frac{b}{-6} = 18[/tex] .

In the fraction form, [tex]\frac{b}{-6} = 18[/tex] , multiply both sides by -6 to eliminate the denominator on the left-hand side. It will also isolate b:

[tex]\frac{b}{-6} = 18[/tex]

[tex](-6)(\frac{b}{-6}) = 18(-6)[/tex]

b = -108

In order to double-check whether we have the correct value for b, simply substitute its vlaue into the equation:

[tex]\frac{-108}{-6} = 18[/tex]

18 = 18 (True statement).  

The value of b = -108, hence, the quotient of -108 and -6 is 18.  

Answer:

systematic sampling

Step-by-step explanation:

This is when you start at a person (using a number that is randomly generated) and go up in intervals to select a sample.

Hope this helps!

Answer:

k=7.38

Step-by-step explanation:

12.28-4.9=7.38

Answer:

Step-by-step explanation:

= > x + 4.9 = 12.28

= > x = 12.28 - 4.9

= > x = 7.38

Hope it helps!!

Answer:

Step-by-step explanation:

14 out of 70 given as percentage:

Lets see

Answer:

2

Step-by-step explanation:

sum of digits=1+2+5+8=16

smallest term to be added to make it divisible by 9 is 2

∵16+2=18÷9=2

Answer:

x=6y3

Step-by-step explanation:

we first find the constant of proportionality where by we say; x= ky3

we're given x = 54

and y = 3

so

54=k(3cubed)

therefore

54= 9k

divide be 9 both sides to get k which is the constant

k=6

now rewrite the equation replacing k with 6

it will be...

X=6Y3

Answer:

x = 13

Step-by-step explanation:

Corresponding angles equal one another.

[tex]8x-20=4x+32\\4x-20=32\\4x=52\\x=13[/tex]

Answer:

1

Step-by-step explanation:

gradient M= change in Y / change in X

= (-16--6)/(-6-4)

= -10/-10

M therefore= 1

Answer:

11.7 miles

Step-by-step explanation:

I hope this helped!

Answer:

Step-by-step explanation:

First get the (m) which is the gradient by using the formula y2-y1/x2-x1

Pick any random 2 values from the table. I will pick. (1,4) (2,8)

Y2=8  Y1=4   X2=2  X1=1

8-4/2-1    4/1  = 4

Y=4x+c

Answer:

14

Step-by-step explanation:

(4+(16-1)/5)*2

(4+15/5)*2

(4+3)*2

7*2

14

Using the normal distribution, it is found that there is a 0.8888 = 88.88% probability that his tube last the whole trip.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability that his tube last the whole trip is the p-value of Z when X = 0.85, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering the n instances

[tex]Z = \frac{X - n\mu}{s}[/tex]

[tex]Z = \frac{0.85 - 0.79}{0.2\sqrt{6}}[/tex]

[tex]Z = 1.22[/tex]

[tex]Z = 1.22[/tex] has a p-value of 0.8888.

0.8888 = 88.88% probability that his tube last the whole trip.

A similar problem is given at https://brainly.com/question/24663213

Here's ur perfect answer

Answer:

[tex]\text{Circumference}~ = 2 \pi r = 2 \pi \cdot \dfrac{18} 2 = 18 \pi =18 \times 3.14=56.52~ cm[/tex]

Step-by-step explanation:

The solution is: It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

Explanation:

Here, we want to know the number of times the digit occurs

We can solve this with arithemetic progression

The first term here is 105, while the last term is 995

However, the difference between each occurrence is 10

Thus, applying the formula:

T_n = a + (n-1) d

T_n is the last term which is 995

a is the first term which is 105

d is the common difference which is 10

n is the number of terms which we want to calculate

Substituting these values, we have it that:

995 = 105 + (n-1) 10

so, we get,

n = 900/10

  =90

Hence, It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .

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complete question:

How many times does the digit 5 occur in all the numbers from 100-999 ?

Which is the initial value of the function represented by this graph?

1

5

6

7

answer : 1

Answer:

294 students

Step-by-step explanation:

To find percentage, convert the percent to a decimal and multiple the total number of students

80% --> 0.8

350*0.8 = 294 students

9514 1404 393

Answer:

  294

Step-by-step explanation:

84% of 350 is ...

  0.84 × 350 = 294

294 students are getting their Bachelor's degree in Business.

__

Additional comment

If your calculator does not have a % key, you can perform the multiplication by converting the percentage to a decimal or using it as a fraction. The % symbol is interchangeable with /100, so 84% = 84/100. Of course, this is eighty-four hundredths, which can also be written 0.84.

Any spreadsheet will accept direct input of numbers with an attached % symbol, so you can use one of those for this calculation, also.

Answer:

the answer is c

Step-by-step explanation:

u welcome

The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.

We are asked to solve for r in terms of other variables.

By Pythagoras theorem in the given right triangle, we can say that:

r² + s² = t², which is the required equation.

To solve for r in terms of other variables, we do as follows:

r² + s² = t²,

or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},

or, r² = t² - s² {Simplifying},

or, r = √(t² - s²) {Square rooting both sides of the equation}.

Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).

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Answer: 3x^3+2x+5

Step-by-step explanation:

I attached my written work but put simply take the value of x which in this case is -2 because x+2 also means x= -2. Then line up the coefficients next to -2 which should be in a box. So the coefficients 3, 6, 2, 9, and 10. Drop the first coefficient down which is 3 and multiply it by your x value. so the combo is multiply, add, drop. starting with 3 drop it down then multiply it by -2 to get -6. Then add -6 to the second coefficient which is 6 to get 0 so drop zero down. Then again multiply 0 by -2 to get 0 then add zero to 2 to get 2 then drop down 2. So continue till the end remmebr the only multiplication you are doing is against the x value which in this case is -2. at the end you should have 5 numbers left. Here we end with 3, 0, 2, 5, 0. So we want a zero as the last number which means we have no remainder. If the last number is not zero do not PANIC. just kidding but seriously though relax. Put the number over your expression x+2 so for example if the last number was 5 instead of zero DONT PANIC just finish your answer with 5/x+2. SO back to the 3, 0, 2, 5, 0. We add the corresponding x's to these numbers so [tex]3x^{3}+0x^{2} +2x+5[/tex] which also equals [tex]3x^3+2x+5[/tex]

Points obtained on the quiz increases when the points are earned from

correct responses.

Reasons:

The number of questions in the quiz = 25 questions

Number of points for correct answers = 3 points

Number of points lost for incorrect answers = 2 points

Points for question not answered = 0 points

Nature of total points = Positive and negative

Required:

The minimum score one can get on the quiz.

Solution:

The minimum score that can be obtained is when all responses result in a

loss of points, due to the questions being incorrect.

Therefore;

The minimum score = 25 × (-2) = -50

Learn more here:

https://brainly.com/question/19816972

Answer:

T = PV/nR

..............................................

Answer:

a) single replacement

b)decomposition

Step-by-step explanation:

a) im not so sure but pretty sure its tight

b) decomposition requires energy so therefore can only be this

Using linear functions, it is found that the high-performance system should be rented.

A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

With the high-performance software:

Then, the model is:

[tex]C_{hp}(d) = 3000 + 200d[/tex]

With the standard-performance software:

Then, the model is:

[tex]C_{sp}(d) = 2000 + 240d[/tex]

The costs for 80 drawings, that is, [tex]d = 80[/tex] for both cases are given by:

[tex]C_{hp}(80) = 3000 + 200(80) = 19000[/tex]

[tex]C_{sp}(80) = 2000 + 240(80) = 21200[/tex]

Due to the lower cost, the high-performance system should be rented.

A similar problem is given at https://brainly.com/question/20849340

Answer:

x = -7

Step-by-step explanation:

Eleven more than five times a number is equal to the difference between −38 and twice the number.

let x represent the number.

11 + 5x = -38 - 2x

7x +11 = -38.............add 2x to both sides

7x = -49................... subtract 11 from both sides

x = -7........................divide both sides by 7

Answer:

with what 0-0 are youy okay?

Step-by-step explanation:

Answer:

4x-6

Step-by-step explanation:

4x-6

4 is for number of doughnuts in each package, 6 is for the taken doughnuts

Answer:

26

Step-by-step explanation:

in a deck of 52 cards there are 52/2 = 26 black cards

so there are 26 ways you can select a black card

Answer:

If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:

6 cups of rice

12 cups of milk  

1 cup of sugar  

3 handful of raisins

3 cinnamon sticks

When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche

Answer: 2.50$

Step-by-step explanation: