What is the value of s(6)?

Answer:

A game would need to be at least 257.67 minutes long to qualify for the Endurance Board.

257.67 minutes = 257 minutes, 40 seconds = 4 hours, 17 minutes, 40 seconds.

Step-by-step explanation:

Games that are given special recognition on the Endurance Board are the games that last in the longest 1% of all games.

If X is the random variable that represents the time a chess game takes before it is completed.

X is said to be normally distributed with

Mean = μ = 153 minutes

Standard deviation = σ = 45 minutes

Let games that last the longest 1% of the time last for a minimum of x' minutes.

P(X > x') = 1% = 0.01

P(X ≤ x') = 1 - P(X > x') = 1 - 0.01

P(X ≤ x') = 0.99

Indicating that such games are longer than 99% of all chess games.

This is a normal distribution problem

Let the z-score for these type of longest games with a minimum duration of x' minutes be z'.

P(X ≤ x') = P(z ≤ z') = 0.99

From the normal distribution table, z' = 2.326

z-score of any value is given as the value minus the mean divided by the standard deviation.

z = (x - μ)/σ

So,

z' = (x' - μ)/σ

2.326 = (x' - 153)/45

x' = (2.326×45) + 153

x' = 104.67 + 153 = 257.67 minutes = 257 minutes, 40 seconds.

Hope this Helps!!!

Answer: 7/100

Step-by-step explanation:

In this question, ignore the 8 and the 3 and focus on the 7.  Isolate it and you will get 0.07.  0.07 in fraction from is 7/100.

The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Given the decimal,

0.873

8 → Tenth place (Fraction value 8/10)

7 → Hundredth place(Fraction value 7/100)

3 → Thousandth place (Fraction value 3/1000)

Since 7 is at hundredth place thus it will be 7/100.

Hence "The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07".

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Answer:

A=0.25

B=0.35

C=1.05

Step-by-step explanation:

1. A+B=0.6

2. A+C=1.3

3. C=3B

2 subtract 1:

3 substituted:

Answer:

x = -1, y = 7

Step-by-step explanation:

8x + 3y = 13

3x + 2y = 11

Multiply the first equation by -2 and the second equation by 3. Then add them.

     -16x - 6y = -26

(+)     9x + 6y = 33

--------------------------

       -7x         = 7

x = -1

Now substitute x = -1 in the first original equation and solve for y.

8x + 3y = 13

8(-1) + 3y = 13

-8 + 3y = 13

3y = 21

y = 7

Answer: x = -1, y = 7

Answer: The number of different committees can be  formed = 55.

Step-by-step explanation:

Given: Number of members in a committee = 2

There are five men and six women  available to serve on the committee.

That means, Total persons available to serve on the committee = 5+6=11

Number of combinations of choosing r things from n things is given by:-

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

So, the number of ways to choose 2 members out of 11 = [tex]^{11}C_2=\dfrac{11!}{2!9!}[/tex]

[tex]=\dfrac{11\times10}{2}=55[/tex]

Hence, the number of different committees can be  formed = 55

Answer: d) 95 degrees

Step-by-step explanation:

To find this solution, simply subtract -20 from 75, to get 95.  In reality, you would take the absolute value of one temperature - another, but all you need to remember is to always subtract the smaller temperature from the larger.

Answer:

95 degrees(answer d)

Step-by-step explanation:

when you have a negative temp. and a positive temp., you add the two numbers to find the difference.

that means, 20+75=95 degrees(take away the negative sign when adding only.)

That means the difference between the two temperatures is 95 degrees.

Answer:

Answer:

They can sit in 19,958,400 ways

Step-by-step explanation:

The seating arrangements matter based off of rank, which means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

8 seats from a set of 12. So

[tex]P_{(12,8)} = \frac{12!}{(12-8)!} = 19,958,400[/tex]

They can sit in 19,958,400 ways

Answer:

a

Step-by-step explanation:

the pythagorean theorem suggests it

Step-by-step explanation:

A(2/5, 19/20) and B (1/3, 11/12)

AB = [tex]\sqrt{(x_{A} - x_{B} )^2 + (y_{A} - y_{B}) ^2][/tex] = [tex]\sqrt{{(2/5- 1/3 )^2 + (19/20 - 11/12) ^2[/tex] = [tex]\sqrt{5} /30[/tex]

Answer: 16

Step-by-step explanation:

4 * 4 = 16

Answer:

In terms of construction, copying a line segment and an angle requires a fixed compass width as a basic tool

Step-by-step explanation:

The basic similarity is in both constructions, or copies is that we are going to use the same compass width in each case as the basic tool to copy a line segment or an angle.

hope this helpes

be sure to give brainliest

Answer:

An angle is form by two rays and the two line segment share a common points and we utilize a straightedge for drawing the comparative figure on paper.

At that point, utilize the straightedge and the compass used to copy this type of figure precisely. To duplicate the given figure, we should copy line as well as angle.

The line of segment are basically formed by adjusting the compass and makes it equal to the line segment length and then copy each point in the figure.

Answer:

110°

Step-by-step explanation:

m arc DB=140°

m arc BCD=360-140=220°

∠ A=1/2×220=110°   (∵angle at the circumference=1/2 angle at the center.)

Answer:

3.072km

Step-by-step explanation:

[tex]3072m*(\frac{1km}{1000m} )=3.072km[/tex]

Answer:

The answer is

Step-by-step explanation:

Factor the expression

We have

(1.1 × 10 - 4.9) × 10²

Multiply the numbers

That's

( 11 - 4.9) × 100

Subtract the terms in the bracket

That's

( 6.1) × 100

Multiply

We have the final answer as

Hope this helps you

Answer:

Its 2.4, glad to help ya out!

Step-by-step explanation:

Remember v/pi times r squared

Answer:

B

Step-by-step explanation:

table B: because when x increases y increases at the same rate and stay the same . the graph has proportional relation when it is a straight line passes through origin

for B :25/20=30/24=40/32=5/4

y=5/4 x

Answer: p value = 0.057

The candidate's opponent's claim of ( p < 0.054 ) is false

as p (0.057) is greater than 0.054.

(P > 0.054)

Step-by-step explanation:

p₀ = 5.4% = 0.054

Claim: p < 0.054

n = 500

x = 19

To perform z test for the proportion, we use TI-83, TI-83 plus, or TI-84 calculator

first;

Press STAT and go to TESTS menu.

Go to 1-Prop Z TEST

p₀ : 0.054

x : 19

n : 500

Prop < p₀

Calculate.

Output:

z = -1.582933013

p = 0.0567183695

therefore

p value = 0.057 ( three decimal place)

there the candidate's opponent's claim of ( p < 0.054 ) is false

as   p > 0.054

Option  A.) Picture 1 is correct

in the problem inequality y ≤ 2x − 4 is given
Right graph for boundary line has been asked.

Inequality can be defined as the relation of the equation contains the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

For the boundary line
y ≤ 2x − 4  this equation transform into
y= 2x-4
above equation is the boundary condition for the given inequality
so in picture one the the dotted line shows the information of equation
y= 2x-4.

Thus, the boundary condition for inequality y ≤ 2x − 4 is in picture 1

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Answer:

33% probability that a man in this age group is under 180 pounds

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 202.3, \sigma = 50.7[/tex]

Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal.

This is the pvalue of Z when X = 180.

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

[tex]Z = \frac{180 - 202.3}{50.7}[/tex]

[tex]Z = -0.44[/tex]

[tex]Z = -0.44[/tex] has a pvalue of 0.33

33% probability that a man in this age group is under 180 pounds

Answer:

Addition = 3656999

Step-by-step explanation:

Predecessor of number = (Number - 1)

Predecessor of 365000 = 365000 - 1

                                         = 364999

Successor of a number = (Number + 1)

Successor of 3291999 = 3291999 + 1

                                      = 3292000

Now we have have to add the predecessor of 365000 and successor of 3291999,

364999 + 3292000 = 3656999

In other words addition of predecessor of any number and successor of other number will be same as the sum of both the numbers.

Answer:

We can find the critical value [tex]t_{\alpha/2}[/tex]

And for this case if the confidence increase the critical value increase so then this statement is True

Step-by-step explanation:

For a confidence level given c, we can find the significance level like this:

[tex] \alpha=1 -c[/tex]

And with the degrees of freedom given by:

[tex] df=n-1[/tex]

We can find the critical value [tex]t_{\alpha/2}[/tex]

And for this case if the confidence increase the critical value increase so then this statement is True

Answer:

should be - 8

Step-by-step explanation:

-2*-2=4 4*-2=-8

Answer:

Sandy should have evaluated (negative 2) cubed as –8.

Step-by-step explanation:

Got it right on the test

The correct answer is D. Eleanor has collected 20 action figures. She plans to collect 2  additional figures per month

Explanation:

The purpose of using an equation is to express mathematically a situation or relation. This involves understanding accurately how factors or numbers relate. According to this, the equation y = 2x + 20 fits with the situation described in D because this equation can be used to calculate the number of books Eleanor has as y is the total; 2 is the number of new books per month; x the number of months; and 20 books Eleanor already has.

Also, the number of months is multiplied by 2, and this is added to 20 which equals the total number of books. For example, after three months the total of books would be 26 considering y (total of books) = 2 x 3 (months) + 20 ⇒ 26 books.

Answer: -8

Step-by-step explanation: If he scored -2 four times then his score would be -8 (-2×4).

Answer:

(4, 26)

(-6, -24)

Step-by-step explanation:

Step 1: Substitution

5x + 6 = x² + 7x - 18

Step 2: Move everything to one side

0 = x² + 2x - 24

Step 3: Factor

(x - 4)(x + 6) = 0

Step 4: Find roots

x = 4, -6

Step 5: Plug in x to find y

y = 5(4) + 6

y = 20 + 6

y = 26

y = 5(-6) + 6

y = -30 + 6

y = -24

Answer:

B. (-0.5, 5.75)

Step-by-step explanation:

Use a graphing calc and analyze the graph for the minimum value (vertex).

Answer:

We have this original function given:

[tex] g(x) =-x^2 +5[/tex]

And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:

[tex] h(x)= g(x) -4[/tex]

And replacing we got:

[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]

Step-by-step explanation:

We have this original function given:

[tex] g(x) =-x^2 +5[/tex]

And we want to transtale vertically downward 4 units this function and we will get the new fnction h(x) and on this case we have to do this transformation:

[tex] h(x)= g(x) -4[/tex]

And replacing we got:

[tex] h(x) = -x^2 +5 -4 =-x^2 +1[/tex]

Answer:

-1/19,-4/7,7/4

Step-by-step explanation:

first, you divide -1 by 19, which should give you -.0526

then, you divide -4 by 7, which should give you -.5714

after that, you divide 7 by 4, which should give you 1.75

the lesser numbers would be negative, since they are to the left of 0 and positives are to the right.

these steps should give you your answer, which is located above.

Answer:

Slope of the line using points

(2.5) and (2. -8) is

[tex] \frac{ - 8 - 5}{2 - 2} \\ - \frac{13}{0} \\ = 0[/tex]

Hope this helps you

Answer:

Undefined

Step-by-step explanation:

Well to find the slope with 2 point we’ll need to use the following formula [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].

So with the 2 ordered pairs we have we need to plug them in,

-8 - 5 / 2-2 = -13/0.

So the slope is undefined, because the slope is vertical.