Julian has a computer game that responds with either "go" or "stop" when a button is pressed. The probability that the response is "go" is not known to game players. Julian presses the button repeatedly and records the number of "go" responses.

Number of button presses:
20
50
200

Number of "go" response:
3
9
38

Calculate the relative frequency of a "go" response for each of the sample sizes.

Enter your answers, as decimals, in the boxes.

3/20=

​ 9/50=

​ 38/200 =

The answer is:

The total time traveled  by the cabin cruiser is equal to 9 hours.

To solve the problem, we need to write two equations using the given information about the travel upstream and downstream.

Then, we need to write two equations:

Let be "x" the speed of the cabin cruiser (12 mph in still water)

Let be "y" the speed of the current (4 mph).

So,

For the travel against the current (upstream), we have:

[tex](x-y)*t_{upstream}=48miles\\\\(x-y)*t_{upstream}=48miles\\\\(x-4mph)*t_{upstream}=48miles[/tex]

For the travel with the current (downstream), we have:

[tex](x+y)*t_{downstream}=48miles\\\\(x+y)*t_{downstream}=48miles\\\\(x+4mph)*t_{downstream}=48miles[/tex]

Also, we know from the statement that the speed of the cabin cruise traveling in still water is equal to 12mph.

So,

Calculating the time traveled upstream, we have:

[tex](x-4mph)*t_{upstream}=48miles(12mph-4mph)*t_{upstream}=48miles(8mph)*t_{upstream}=48milest_{upstream}=\frac{48miles}{8mph}=6hours[/tex]

Calculating the time traveled downstream, we have:

[tex](x+4mph)*t_{downstream}=48miles(12mph+4mph)*t_{downstream}=48miles(16mph)*t_{downstream}=48milest_{downstream}=\frac{48miles}{16mph}=3hours[/tex]

Now that we know the time traveled upstream and downstream, we need to calculate the total time traveled using the following equation:

[tex]TotalTime=t_{upstream}+t_{downstream}\\\\TotalTime=6hours+3hours=9hours[/tex]

Therefore we have that the total time traveled is equal to 9 hours.

Have a nice day!

You can sum like terms:

[tex]d+3d=4d[/tex]

The equation becomes

[tex]4d = 6[/tex]

Divide both sides by 4:

[tex]d=\dfrac{6}{4}=\dfrac{3}{2}[/tex]

Answer:

[tex]\$2,966.85[/tex]  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

[tex]A=P(e)^{rt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

[tex]t=15\ years\\ P=\$1,000\\ r=0.0725[/tex]  

substitute in the formula above  

[tex]A=\$1,000(e)^{0.0725*15}=\$2,966.85[/tex]  

Final answer:

The total amount for a $1000 investment at 7.25% compounded continuously for 15 years is approximately $2972.70, demonstrating the power of compound interest.

Explanation:

To calculate the total amount from an investment that is compounded continuously, you use the formula for continuous compounding, which is A = Pert, where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial sum of money), r is the annual interest rate (decimal), t is the time the money is invested for, and e is the base of the natural logarithm, approximately equal to 2.71828.

Substituting our values into this formula we get:
A = 1000 * e0.0725*15
A ≈ 1000 * e1.0875
A ≈ 1000 * 2.9727
A ≈ $2972.70

This result shows us the power of compound interest and highlights starting to save money early in life as a key financial decision.

Answer: You just bought a new briefcase and need to pick a four digit combination out of 10 possible numbers for the lock. If order does matter how many possible lock combinations can you choose from?

Step-by-step explanation:

Answer:

Option A, linear; y = -x - 2

Step-by-step explanation:

Example-

x = 3

y = ?

? = -3 - 2 (add the negative number if in the case of subtracting a negative number)

? = -5

Answer:

75 degrees

Step-by-step explanation:

The two marks on the triangle sides mean they are the same length (congruent).  Because of the Isosceles Triangle Theorem, the angles across from those two congruent sides are also congruent.  That means that angle C also measures 3x.  Because all the sides of a triangle add up to equal 180, then (x+5) + 3x + 3x = 180.  7x + 5 = 180, and 7x = 175.  That means that x = 25.  Take that 25 and sub it into 3x to get 3(25) = 75 degrees.

Answer:

√34

Step-by-step explanation:

3²+5²=9+25=34

√34=√34 because 34 cannot be simplified because no perfect square go into it

a^6-64

I used the foil method

(a^3+8)(a^3-8)

a^6-8a^3+8a^3-64 middles cancel out

a^6-64

Answer:

40

Step-by-step explanation:

12x4 = 48

3x2 = 6

2x1 = 2

6+2 = 8

48-8= 40

HOPE THIS HELPS!

Answer:

Step-by-step explanation:

We have a square with the side a = 18m and a triangle with the base

b = 18m + 8m = 26m and height h = 16m.

The formula of an area of a square:

[tex]A_{\square}=a^2[/tex]

The formula of an area of a triangle:

[tex]A_{\triangle}=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_{\square}=18^2=324\ m^2\\\\A_{\triangle=\dfrac{(26)(16)}{2}=(26)(8)=208\ m^2[/tex]

The area of figure:

[tex]A=A_{\square}+A_{\triangle}\\\\A=324\ m^2+208\ m^2=532\ m^2[/tex]

Final answer:

Jefferson played basketball until 2:57 P.M.

Explanation:

To find out what time Jefferson played basketball until, we need to add the duration of time he played to the starting time.

First, we convert the duration of time from minutes to hours. Since there are 60 minutes in an hour, 1 hour and 25 minutes is equal to 1.42 hours.

Next, we add 1.42 hours to the starting time of 1:15 P.M. This gives us the ending time of 2:57 P.M.

there are no real square roots of 25,36

Answer:

7 times

Step-by-step explanation:

5 times 5 is 25 so 5 times 7 is 35 and thats the answer

I am definitely willing to assist you, but without an illustration is a tough challenge.

Answer: a= 16

Step-by-step explanation:

We have the following expression:

[tex](y-4)(y^2 +4y +16)[/tex]

To find the value of the coefficient "a" you must use the distributive property to multiply the expression:

[tex](y-4)(y^2 +4y +16)[/tex]

until you transform it to the form:

[tex]y^3 +4y^2 +ay -4y^2 -ay-64[/tex]

Then we have

[tex](y-4)(y^2 +4y +16)\\\\(y^3 +4y^2 +16y -4y^2 -16y-64)\\\\[/tex]

Therefore the value of a in the polynomial is 16

Answer:

[tex]f(x)=\frac{1}{2}Cos(\frac{1}{4}x)-1[/tex]

Step-by-step explanation:

Consider the function f(x) = cos x. Noted below are the points of transformations of the cos function

Considering the points above, we can now write down the "transformed" cosine function's equation:

f(x) = [tex]\frac{1}{2}Cos(\frac{1}{4}x)-1[/tex]

Answer:

Hope this helps :)

Step-by-step explanation:

Answer:

44 is 55% of 80

Step-by-step explanation:

44 is 55% of what number

LEt the unknown number be x

44 is 55% of x

Write the given sentence in equation form

[tex]44= 55 \ percent \ times \ x[/tex]

To remove percentage we divide by 100

55 divide 100 is 0.55

[tex]44=0.55 \cdot x[/tex]

Divide both sides by 0.55 to solve for x

[tex]80=x[/tex]

The value of x is 80. It means 44 is 55% of 80

The number is 80 and 44 is 55 percentage of the number 80

Given data ,

To find out what number 27 is 30 percent of, we can set up the equation:

55% of x = 44

To solve for x, we can divide both sides of the equation by 55% (or 0.55), which is the equivalent of dividing by 0.55:

x = 44 / 0.55

On dividing the numerator of the fraction by the denominator , we get

Evaluating the expression on the right side gives:

x = 80

Therefore , the value of the number is x = 80

Hence , 44 is 55 percent of number 80

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Answer:

Yes, if the first term of a geometric sequence is positive and r > 1, then the sequence increases

Step-by-step explanation:

* Lets talk about the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar2  ,  U4 = ar3  ,  U5 = ar4

# Un = ar^n-1, where a is the first term , r is the constant ratio

  between each two consecutive terms, and n is the position of

 the number in the sequence

- V.I.N: The position of the number means the place of the

 number like first , second , third , .......... so n must be positive integer

* Lets talk about the ratio r

- If r greater than 1 and a is positive, the sequence increases lets

 take some different examples to explain that

# If the first term is 2 and the ratio between the consecutive

  terms is 3/2, then the first four terms in the sequence are

∵ a = 2

∵ r = 3/2 ⇒ greater than 1

∴ First = a = 2

∴ Second = ar = 2 × 3/2 = 3

∴ Third = ar² = 2 × (3/2)² = 2 × 9/4 = 9/2 4.5

∴ Fourth = ar³ = 2 × (3/2)³ = 2 × 27/8 = 27/4 = 6.75

- From the answers the sequence increases

# If the first term is 1/2 and the ratio between the consecutive

  terms is 4/3, then the first four terms in the sequence are

∵ a = 1/2

∵ r = 4/3 ⇒ greater than 1

∴ First = a = 1/2

∴ Second = ar = 1/2 × 4/3 = 2/3 ⇒ 2nd > 1st

∴ Third = ar² = 1/2 × (4/3)² = 2 × 16/9 = 8/9 ⇒ 3rd > 2nd

∴ Fourth = ar³ = 1/2 × (4/3)³ = 2 × 64/27 = 32/27 ⇒ 4th > 3rd

- From the answers the sequence increases

* Now we are sure if the first term of a geometric sequence is

 positive and r > 1, then the sequence increases

Answer:

The given statement is TRUE.

Step-by-step explanation:

We are given that if the first term of a geometric sequence is positive, and r>1, then the sequence increases which is true.

If the first term of any geometric sequence is positive and its common ratio ( r ) is greater than 1 then the sequence will always increase.

[tex] a _ n = a r ^ n - 1 [/tex]

Answer:

x = 61.3°

Step-by-step explanation:

We are given the radius r = 9 cm and arc length l = 9.7 cm. We need to find the angle x in degrees.

The formula used is:

l = rФ

In our case Ф = x. So re writing the formula:

l= rx

9.7 = 9 x

=> x = 9.7 / 9

x = 1.07 radians

Converting radians into degree we need to multiply the value of x by

180/π where π = 3.14

x = 1.07 * 180/3.14

x = 61.3°

Answer: 15.8 Women out of 1,000 have tissue abnormalities.

Step-by-step explanation:

It's pretty simple, all you need to do is set up a proportion with the variables you already have

63/3980 = x/1000

Do Cross products so

63000=3980x

Divide both sides by 3980 to get x by itself and you get 15.82914573 which reduced to 1 decimal is 15.8

Answer:

Answer is 16

Step-by-step explanation:

Given that for the population of women whose mothers took the drug DES during pregnancy, a sample of 3980 women showed that 63 developed tissue abnormalities that might lead to cancer.

From the given information, we find the proportion of women who took the drug and developed tissue abnormalities

Proportion p = [tex]\frac{63}{3980} =0.015829[/tex]

Assuming the same proportion continues constantly for any population, we find

the number of women out of 1,000 in this population who have tissue abnormalities, estimated = [tex]1000(0.015829)\\=15.829\\=16[/tex]

Answer:

c. none of the above

Step-by-step explanation:

(-6+3)= -3

2--3=2+3=5

5+4c cant add them since they arent like terms

final answer 5+4c and that option isnt here

Answer:

A. .350-.359

Step-by-step explanation:

It has the highest frequency of all the ranges (14).

Answer: [tex]0.350-0.359[/tex]

Step-by-step explanation:

From the given table, it can be seen that the largest frequency in the data table = 14

Thus, there are 4=14 players which have the common range.

The range corresponding to the frequency 14 = [tex]0.350-0.359[/tex]

Hence, the range of batting averages which was the most common among the players = [tex]0.350-0.359[/tex]

[tex] \sqrt{9} + \sqrt{9} + \sqrt{9} + \sqrt{9} [/tex]

3+3+3+3

=18

hope that helped you

Answer: 18

Step-by-step explanation:

square root of 9 equals 3+3+3+3+3+ = 18 (3x6)

Part A) the first and the third answer are equivalent because.

n+n+n+n+2= 4n+2 which is the same as the third answer.

Part B) 2 and 4 are not equivalent because

2) n+n+n+2= 3n+2

4) 2n+2n+2n= 6n

as we can see they are not the same. Therefore they are not equivalent.

hope this helps

this is a binomial problem: p = 0.7 and q = 0.3

a) (0.7)^6

b) (6C4)(0.7)^4(0.3)^2

c) Pr ( at least 4) = Pr(4) + Pr(5) + Pr(6) = (6C5)(0.7)^5(0.3) + (0.7)^6

d) Pr (no more than 4) = 1 - Pr(at least 4) = 1 - (answer from c)

The question requires understanding of binomial probability. The probability of all 6 serves, exactly 4 serves, at least 4 serves, and no more than 4 serves can be calculated using binomial distribution when each serve is an independent event.

The subject of this question relates to probability involved in binomial distribution. Binomial distribution applies when there is a fixed number of independent trials, each with a constant probability of success. Here, a tennis player making a successful serve can be considered a success, with a probability of 0.70.

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The pool has area [tex]160\,\mathrm{ft}^2[/tex].

Let [tex]x[/tex] be the width of the sidewalk. Then the combined area of the pool and sidewalk is [tex](10+x)(16+x)=160+26x+x^2[/tex], so that the area of the sidewalk alone is [tex]26x+x^2[/tex].

We're told this area is [tex]155\,\mathrm{ft}^2[/tex], so

[tex]26x+x^2=155\implies x^2+26x-155=(x-5)(x+31)=0\implies x=5[/tex]

Answer:

The width of the sidewalk is 5.0 ft.

Step-by-step explanation:

Given,

The dimension of the rectangular swimming pool is 16 ft × 10 ft,

So, the area of the pool = 16 × 10 = 160 ft²,

Let x be the uniform width of the cement sidewalk,

So, the dimension of the area covered by both swimming pool and sidewalk = (16+x) ft × (10+x) ft,

Thus, the combined area of the swimming pool and sidewalk = (16+x)(10+x) ft²

Also, the area of the sidewalk = The combined area - Area of the pool,

= (16+x)(10+x) - 160

According to the question,

[tex](16+x)(10+x)-160 = 155[/tex]

[tex](16+x)(10+x)=315[/tex]

[tex]160+16x+10x+x^2=315[/tex]

[tex]x^2+26x-155=0[/tex]

By the quadratic formula,

[tex]x=\frac{-26\pm \sqrt{676+620}}{2}[/tex]

[tex]x=\frac{-26\pm 36}{2}[/tex]

[tex]\implies x=5\text{ or } x = -31[/tex]

Side can not be negative,

Hence, the width of the sidewalk is 5.0 ft.

What’s a brainliest sorry I can’t help

This relation is a function because a function [tex]f[/tex] from a set [tex]A[/tex] to a set [tex]B[/tex] is a relation that assigns to each element [tex]x[/tex] in the set [tex]A[/tex] exactly one element [tex]y[/tex] in the set [tex]B[/tex]. The set [tex]A[/tex] is the domain (also called the set of inputs) of the function and the set [tex]B[/tex] contains the range (also called the set of outputs). So we have that:

[tex]\left[\begin{array}{cc}x & y\\1 & 0\\2 & 4\\3 & 8\\4 & 12\end{array}\right][/tex]

We have plotted all the points below. As you can see, this is a linear function. Therefore, with two points we can get the equation, so:

[tex]The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1}) \\ \\ \\ y-0=\frac{4-0}{2-1}(x-1) \\ \\ y=4(x-1) \\ \\ y=4x-4 \\ \\ \\ Where: \\ \\ (x_{1},y_{1})=(1,0) \\ \\ (x_{2},y_{2})=(2,4)[/tex]

Finally, the equation is:

[tex]\boxed{y=4x-4}[/tex]

Answer:

x = √41  units

Step-by-step explanation:

Half the base length

= 8 ÷ 2

= 4

x² = 4² + 5²

x² = 16 + 25

x² = 41

x = √41

Answer:

x = sqrt(41)

Step-by-step explanation:

We have a right triangle with height 5 and a base that is 1/2 of 8 = 4

We can use Pythagorean theorem

a^2 + b^2 = c^2 to find the length of the hypotenuse

5^2 + 4^2 = x^2

25+16 = x^2

41 = x^2

Take the square root of each side

sqrt(41) = x

Answer:

$3,750

Step-by-step explanation:

Find how much 3% of 125,000 is.  Divide 3 by 100 and then multiply that by 125,000.  You get 3,750, which is how much interest Moran will earn.

Final answer:

Interpreting the preference of 100 college students on campus to predict an election result is unlikely to yield a representative sample of the national electorate. A more scientific poll requires a larger, random, and demographically diverse sample of the voting population.

Explanation:

The student's approach of interviewing 100 students on a college campus to predict the outcome of a national election may not provide a representative sample of the general voting population. A sample to make general predictions about national elections should reflect the demographics and political distribution of the entire nation, which is unlikely to be the case for a sample drawn solely from a college campus.

Furthermore, the sample may also suffer from selection bias if, for instance, those who choose to walk through the courtyard are not representative of the entire student body, let alone the country's electorate.

To conduct a more accurate and scientific poll, a larger and more diverse sample size would need to be chosen randomly from among all potential voters in the nation and it should include a mix of individuals with a history of voting and other demographic characteristics that align with the broader population.