in a certain test, there is a multiple choice question with the possible answers a, b, c, d, and e. By randomly guessing, the chances of getting the correct answer are stated as "1 in 5."Express the indicated degree of likelihood a a probability value between 0 and 1 inclusive

Answers

Answer 1
To express the indicated degree of likelihood as a probability value between 0 and 1, we can convert the fraction "1 in 5" into a decimal.

The fraction 1/5 can be written as a decimal as 0.2, which is a value between 0 and 1, inclusive.

So, the probability of correctly answering the question by randomly guessing is 0.2 or 20%.

Hope this helps you! :)

Related Questions

ite the equations of the lines with the following properties Two points, (1, 3) and (9,8)​

Answers

The linear equation that passes through the two given points is:

y = (5/8)*x + 19/8

How to write the linear equation?

We want to find the equation of a line that passes through (1, 3) and (9, 8).

Remember that the slope of a line that passes through two points (x₁, y₁) and (x₂, y₂) is given by the equation:

slope = (y₂ - y₁)/(x₂ - x₁)

Here we know the two points (1, 3) and (9, 8).

Then the slope is:

slope = (8 - 3)/(9 - 1) = 5/8

We can write the line as:

y = (5/8)*x + b

To  find the value of b,we can evaluate in one of the given points, for example, if we use (1, 3) then we will get:

3 = (5/8)*1 + b

3 = 5/8 + b

3 - 5/8 = b

24/8 - 5/8 = b

19/8 = b

The linear equation is:

y = (5/8)*x + 19/8

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A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%

Answers

Answer:

Alright, so we want to know how much that can be earned in one year. So that's going to be 3000. And this is simple interest. So this is one plus 0.011, which equals $3,033. And that's the solution to this exercise.

Answer:

$3,036

Step-by-step explanation:

The new customer can open a money market account. The bank will deposit $3,000 into the account.

The bank will pay 1.2% (0.012) in interest every year. This interest will increase the original amount to $3,036.

Which of the following are roots of the polynomial function?
Check all that apply.
F(x)=3-2-5x-3
A. 3-√√2
B. 1-√√3
□ C. -1
D. 3
DE 1+√3
F. 3+√√2

Answers

Answer:B

Step-by-step explanation:

Solve for x

2,4, and 6 i need help with

Answers

Answer: 2: 56 degrees

4: 56 degrees

(Number 6 is not in the image)

Step-by-step explanation:

So for #2 we know the whole angle is 90 degrees, so all we have to do is 90-34 = 56

And for #4, we know the angle is 180 so all we have to do is 180-124=56

2.) 90-34

4.) 180-124

Solution

X=56

X=56

2 brothers are to share $2600 in the following ratio 9:6 how much will each brother get ?

Answers

Answers

9x+6x=2600

15x=2600

x=520/3

9x=9×520/3=1560

6x=6×520/3=1040

Learning Page
QUESTION
We'd like to simulate the probabilities involved when Ivanna shoots two penalty kicks.
The table below gives a simulation of Ivanna shooting penalty kicks.
The table shows 10 trials. Each trial has two simulated penalty kicks.
Each simulated penalty kick is a random number from 1 to 100.
Trial
1
2
3
4
5
6
7
8
an
First
penalty kick
91
10
33
88
92
56
More Practice
4
92
45
40
39
Second
penalty kick
43
82
29
58
86
45
11
36
6
43

Answers

The correct answers are given below:

(a) 1 to 55

(b) 40%

How to solve this

Since Mansour scores 55% of his kicks, we'd want exactly 55% of the simulated numbers to denote Mansour scoring a penalty, thus, 1 to 5 is a possible range.

To find the percentage of trials where Mansour scored exactly one penalty, we have to count the trials where one of the simulated numbers is in the range of 1 to 5 (denoting Mansour scoring the penalty) and the other is in the range of 56 to 100 (denoting Mansour missing the penalty)

Trails 1, 3, and 4, 6 are such trials. Thus, Mansour scored exactly one penalty kick in 40% of the trials.

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The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.
​(a)
Compute the​ z-score corresponding to the individual who obtained miles per gallon. Interpret this result.
​(b)
Determine the quartiles.
​(c)
Compute and interpret the interquartile​ range, IQR.
​(d)
Determine the lower and upper fences. Are there any​ outliers?

Answers

a) The value of z-score is -0.299.

c) The IQR value is measure of spread of data,  IQR = 4.25.

d) There is outliers since observations are not less than 30.375 and greater than 47.375.

What is z- score?

The z-score is an example of a standardised score. The standard deviation of a data point's divergence from the mean of the distribution is calculated using a z-score.

Given:

Sample Data = 31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7, 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3

(a) The value of z-score is calculated as follows,

μ = [tex]\sum _{i=1}^n[/tex]/ n = 933.1 /24 = 38.88

σ = 3.61

So, z = X - μ / σ  

 = 37.8 - 38.88/3.61

 = −  0.299

(b) Quartile:

Q₁ = ( n+1/4)th value

= (24+1/4)th

= 6.25th

=  36.2 + 0.25 x ( 37.3 −  36.2 )  

= 36.47

and, M = ( n+1/2)th value

= (24+1/2)th

= (24+1/4)th

=  12.5 t h

= 38.4 + 38.5/2

= 38.45

Q₃ = 3( n+1/4)th

= 3(24+1/4)th

= 18.75 t h  

= 40.6 + 0.75 x ( 41.4  −  40.6 )  

= 41.2

(c) Interquartile​ range

=  Q ₃ −  Q ₁  

= 41.2  −  36.47  

= 4.25

(d) Lower fences =  Q₁− 1.5 ( I Q R )  

                           =  36.75 −  1.5  ( 4.25 )  

                           =   30.375  

Upper fences = Q ₃+1.5

                      =  41 + 1.5( 4.25 )  

                      = 47.375

Hence, there is outliers since observations are not less than 30.375 and greater than 47.375.

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which answer choice is the correct one

Answers

The answer is (1,-1) :)

An ice cream shop owner wants to find out what new flavor of ice cream he should sell in his shop. Which method would be the BEST way for the owner to do this?

Answers

The required, Ask each regular customer which flavor they would like to see in his shop, would be the best method. Option C is correct.

What is inductive reasoning?

Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.

Here,
Asking each regular customer which flavor they would like to see in the shop would be the best method because the customers are the ones who will be buying and consuming the ice cream, so their preferences are the most important. By directly asking the customers for their opinions, the owner can get a better understanding of what flavors people are interested in, and it can also help to build a relationship with the customers by showing that their input is valued.

Option A, determining the current best-selling flavor, would only provide information about the current sales and not necessarily reflect customers' interests in new flavors. Option B, visiting other ice cream shops, could provide some ideas, but it would not necessarily reflect the local market and the preferences of the shop's specific customer base. Option D, randomly generating customers to survey, may not be representative of the actual customer base and may not provide a reliable indication of which new flavor to sell.

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The diagram below shows the rectangle PLUMP

Find the area of rectangle PLUMP
If entering your answer as a decimal, round your final answer to the nearest hundredth.
PLS show work.

Answers

Step-by-step explanation:

we need to remember 2 things for right-angled triangles (which we need to use to find the sides of the rectangle, so that we then can calculate the area) :

1. Pythagoras

a² + b² = c²

with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs.

2. geometric mean theorem

height = sqrt(p×q)

with p and q being the segments of the baseline the height is splitting it into. in our case MA and AL.

so, to get the length of the rectangle (PL) we use Pythagoras :

PL² = 6² + 8² = 36 + 64 = 100

PL = 10 units

to get PM we first need to get ML. and for that we need to get MA.

6 = sqrt(MA × 8)

36 = MA × 8

MA = 36/8 = 4.5 units

that means ML = 8 + 4.5 = 12.5 units

and again Pythagoras

ML² = PL² + PM²

12.5² = 10² + PM²

156.25 = 100 + PM²

56.25 = PM²

PM = 7.5 = 7.5 units

so, the area of the rectangle is

10 × 7.5 = 75 = 75.00 units²

to "round" to the nearest hundredth.

Suppose an object moves along the y axis so that its location is yequals​f(x)equalsxsquaredplusx at time x​ (y is in​ meters, x is in​ seconds). Find ​(A) The average velocity​ (the average rate of change of y with respect to​ x) for x changing from 2 to 5. ​(B) The average velocity for x changing from 2 to 2+h. ​(C) The instantaneous velocity at xequals2 second. ​(A) The average velocity is 8 ​m/sec. ​(B) The average velocity is (nothing )​m/sec. ​(C) The instantaneous velocity is 5 ​m/sec.

Answers

When x changes from 2 to 5, the average velocity (or average rate of change of y with respect to x) is 9.33 m/s. When x changes from 2 to 2 + h, the average velocity is 2 + hm/s.

How can the average velocity be determined?

Average speed is determined by dividing the total distance you travelled by the total time, whereas average velocity is determined by dividing your displacement (a vector Throughout the entire period, position to your finish position).

(A) The following formula is used to get the average velocity when x changes from 2 to 5:

value of y at x = 2

= 2²+2 = 6 m

value of y at x = 5

= 5²+5 = 30 m

displacement equals 30 – 6 = 24 m.

Time is 5 - 2 = 3 seconds.

average velocity

= displacement /Time duration

= 24/3 = m/s

B) Value of y at x = 2 = 5 for x changing from x to x plus ie for minimal change in x.

Displacement during a little change in x will be 0 because the value of y will once again be 5.

C )  

y(x) = x² + x

dy / dx = 2x + 1

dy / dx  represents instantaneous  velocity

so when x = 2

instantaneous velocity = 2 x 2 +1

= 5 m /s

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Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 5 ft at midnight, rises to a high of 9.5 ft, falls to a low of 0.5 ft, and then rises to 5 ft by the next midnight.
Give the value of each given that x represents time in hours since the beginning of the 24 hour period that models the situation.

Answers

Answer:

Step-by-step explanation:

The tide over a 24-hour period can be modeled by a sinusoidal function of the form:

f(x) = A * sin(Bx) + C

where A is the amplitude, B is the frequency, and C is the vertical shift.

To determine the values of A, B, and C, we need three points. Let's use the following points:

(0, 5): This is the value of the tide at midnight, 5 ft.

(12, 9.5): This is the value of the tide at its high, 9.5 ft.

(6, 0.5): This is the value of the tide at its low, 0.5 ft.

Using the first point (0, 5), we can calculate the vertical shift, C:

C = 5

Using the second point (12, 9.5), we can calculate the amplitude, A:

A = (9.5 - 5) / 2 = 2.25

Using the third point (6, 0.5), we can calculate the frequency, B:

0.5 = 2.25 * sin(B * 6) + 5

4.5 = 2.25 * sin(B * 6)

2 = sin(B * 6)

B * 6 = sin^-1(2)

B * 6 = pi / 2

B = pi / (2 * 6) = pi / 12

So, the final equation is:

f(x) = 2.25 * sin(pi * x / 12) + 5

This represents one period of the sinusoidal function that models the tide over a 24-hour period, with time x measured in hours since midnight.

Determine the largest power of 10 that is a factor of the following numbers (equivalently, the number of terminal 0's, using ordinary base 10 representation):(a) 50!.
(b) 1000!.

Answers

The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.

(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.

There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.

Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.

(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:

⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249

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If n = 200 and (p-hat) = 0.45, construct a 90% confidence interval.

Give your answers to three decimals

__ < p < __

Answers

Answer:

0.392 < p < 0.508

Step-by-step explanation:

[tex]\displaystyle CI=\hat{p}\pm z\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\CI_{90\%}=0.45\pm 1.645\sqrt{\frac{0.45(1-0.45)}{200}}\\\\CI_{90\%}\approx0.45\pm0.058\\\\CI_{90\%}=\{0.392,0.508\}[/tex]

Thus, we are 90% confident that the true population proportion [tex]\hat{p}[/tex] is between 0.392 and 0.508, assuming conditions are met.

Decide whether the following statement is
always, sometimes, or never true. Explain your reasoning.
Any decimal that ends with a digit in the thousandths place can be
written as a fraction with a denominator that is divisible by both 2 and 5.

Answers

Yes, the given statement is true that any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5.

What is Fraction?

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that;

The statement is about the decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5.

Now, A fraction is terminating decimal as if the denominator of the fraction contains terms in the form of 2ᵃ, 5ᵇ or 2ᵃ x 5ᵇ.

Then, It is said that, there is a digit in thousandth place.

Hence, the statement given is true that any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5.

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PLEASEEE HELP —-> Step 1: Construct a circle through three points not on a line.
a) Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by
drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and
name the point of intersection of the perpendicular bisectors O. How do you know that point O
is the center of the circle that passes through the three points? (10 points)

Answers

Answer:

Step 1: Construct a circle through three points not on a line.

a) Points D, E, and F are not in a line. To construct a circle through points D, E, and F, begin by

drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and

name the point of intersection of the perpendicular bisectors O. How do you know that point O

is the center of the circle that passes through the three points?

Answer:

Step-by-step explanation:

To show that point O is the center of the circle that passes through points D, E, and F, we can use the property of perpendicular bisectors. The perpendicular bisectors of two chords of a circle bisect the chord and pass through the center of the circle. Since the perpendicular bisectors of DE and EF intersect at point O, it follows that O must be the center of the circle that passes through points D, E, and F.

This property can also be proven using the Pythagorean theorem. Let the radius of the circle be r and let the midpoints of DE and EF be M1 and M2, respectively. Then, OM1 = OM2 = r, and the distance between M1 and M2 is equal to the distance between D and F. By the Pythagorean theorem, the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse, so we have:

OM1^2 + (M1M2)^2 = r^2 + r^2 = 2r^2

Since OM1^2 + (M1M2)^2 is equal to 2r^2, it follows that the distance between M1 and M2 is equal to the diameter of the circle. This means that M1 and M2 are the midpoints of the diameter of the circle, so they must both lie on the circumference of the circle. This, in turn, means that O is the center of the circle that passes through points D, E, and F.

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,
determine how long it will take for the object to hit the ground below. NEAREST TENTH

Answers

Solving a quadratic equation, we will see that the object will hit the ground after 5.9 seconds.

How long it will take for the object to hit the ground below?

The equation for the vertical movement of an object will be:

H(t) = -16*t^2 + v0*t + h0

Where v0 is the initial velicity, in this case 85ft/s, and h0 is the initial height,  55ft.

Then the height equation is:

H(t) = -16*t^2 + 85*t + 55

The object will hit the ground when the height is equal to zero, then we need to solve:

-16*t^2 + 85*t + 55 = 0

Using the quadratic formula we will get:

[tex]t = \frac{-85 \pm \sqrt{(85)^2 - 4*(-16)*55} }{2*-16} \\\\t = \frac{-85 \pm 103.7 }{-32}[/tex]

We only care for the positive solution, which is:

t = (-85 - 103.7)/-32 = 5.9

So it will take 5.9 seconds for the object to hit the ground.

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A positive number a or the same number a decreased by 50% and then increased by 50% of the result

Answers

Answer:

75a%

or

3/4a

or

0.75a

Step-by-step explanation:

A positive number a or the same number a decreased by 50% and then increased by 50% of the result

I answer for what I understand, a number a is reduced by 50% and the result increased by 50%

decrease

a - 50% = 50% or 1/2 or 0.5

    2. increase

50 + 50% = 75% or 3/4 or 0.75

What’s the correct answer answer asap for brainlist

Answers

The explanation 3 is the path that tells us that the interlopers would have to come between the men in the story.

What is the summary of the passage?

The summary here is that the men are faced with a face off. That is they were to fight themselves till they killed themselves.

But while they were to fight they are met with the interloper which is a more ferocious danger that they are facing.

This tells us that they both have more on their plate at the moment.

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)) Of the 90 people who attended the Baybridge Middle School Winter Formal, 18 are
not students at Baybridge.
4) Shade the grid to show the fraction of the people who attended the formal who are not
students at Baybridge.
) What percent of the people who attended the Winter Formal are not students at
Baybridge Middle School? You can use your model to help.

Answers

Answer:

Step-by-step explanation:

To find the percent of the people who attended the Baybridge Middle School Winter Formal who are not students at Baybridge, we can use the following steps:

Find the fraction of non-student attendees: 18 attendees out of 90 total attendees can be represented as 18/90.

Convert the fraction to a decimal: 18/90 = 0.20, which can be rounded to 0.2.

Convert the decimal to a percentage: 0.2 * 100 = 20%.

So, 20% of the people who attended the Baybridge Middle School Winter Formal are not students at Baybridge.

D. Higher Order Thinking A sequence has both even and odd numbers. It follows a subtraction pattern. Can the pattern be subtract 4? Subtract 5? Explain.​

Answers

Regarding the pattern, we have that:

The pattern cannot be subtract 4.The pattern can be subtract 5.

How to identify the correct pattern?

Regarding subtraction by even numbers, we have that:

When an even number subtracts an even number, the result is even.When an even number subtracts an odd number, the result is odd.

Hence the pattern cannot be subtract 4, as the sequence would be composed either by all even numbers or all odd numbers.

Regarding subtraction by odd numbers, we have that:

When an odd number subtracts an even number, the result is odd.When an odd number subtracts an odd number, the result is even.

We can see that the results alternate, hence the pattern can be subtract 5.

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Given the function: calculate the following values.

Answers

The values of f(-1) , f(0) and f(2) are 0, 8 , 16 .

What is a function ?

Function can be defined in which it relates an input to output.

Given function ,

f ( x ) =  4x + 4 when x < 0

= 4x + 8 when x >= 0

f(-1) = 4x + 4

= 4 ( -1 ) + 4

= 0

f(0) = 4x + 8

= 4*0 + 8

= 8

f(2) = 4x + 8

= 4*2 + 8

= 8 + 8

= 16

Therefore, The value of f(-1) , f(0) and f(2) are 0, 8 , 16 .

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HELP DUE TODY pls pls pls

Answers

Answer:

First side: 40in

Second side: 20in

Third side: 36in

Step-by-step explanation:

Let's call the triangle's first, second, and third sides a, b, and c respectively.

The perimeter of the triangle is 96in: a+b+c=96

The length of the first side is twice the second: a=2b

The third side is 16in more than the second: c=b+16

Now, consider the equation a+b+c=96 again, but sub '2b' in for a, and 'b+16' for c, in order to find the value of b:

a+b+c=96

2b+b+b+16=96

4b=80

b=20

Use this value for b to find a and c:

a=2b=2(20)=40

c=b+16=20+16=36

Answer:

Step-by-step explanation:

Let's call the length of the second side "x". Then, the length of the first side is 2x and the length of the third side is x + 16.

The perimeter of the triangle is the sum of the lengths of its sides, so we can set up an equation to solve for x:

x + 2x + (x + 16) = 96

Expanding the equation and solving for x, we get:

4x + 16 = 96

4x = 80

x = 20

So, the length of the second side is 20 inches, the length of the first side is 2 * 20 = 40 inches, and the length of the third side is 20 + 16 = 36 inches.

a square law has area 128ft squared what is the radius of the circle

Answers

Answer: 6.38

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

10 less triple x is at least 12. Find all the values of x

Answers

The value of x for the given expression will be 22/3.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that the expression is triple x less by 10 is at least 12. The mathematical form of the expression can be written as below:-

3x - 10 = 12

3x = 10 + 12

3x = 22

x = 22 / 3

Hence, the value of x for the expression 3x - 10 = 12 is x = 22 / 3.

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Find the area of the figure. Round to the nearest tenth, if necessary.

Answers

The solution is the area of the figure is 53.17.

What is area of trapezoid?

The area of a trapezoid is found using the formula, A = ½ (a + b) h,

where 'a' and 'b' are the bases (parallel sides) and 'h' is the height .

here, we have,

from the given figure we get,

a = 10,

b = 6

h = 8

so, A = 64

again, the cut triangle is a equilateral triangle with side = 5

then, area of triangle = √3/4 * 5^2

                                   = 10.82

so, required area = 53.17

Hence, The solution is the area of the figure is 53.17.

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(ej a number is divisible by 2 and 3, it is divisible by 6. 64 is divisible by 2 but no Sh
What can be concluded from this?
64 is also divisible by 3
54 s dvisible only by 2
() 64 is also divisible by 6
(v) 64 is not divisite by 6

Answers

Answer:

64 is not divisible by 6 because although it is divisible by 2, it is not divisible by 3 so it is not divisible by 6.

Step-by-step explanation:

mr ramirez bought a watermelon that weighs 12 pounds for a picnic he cuts it into pieces that each weigh 1.5 pounds. how many pieces of water melon can mr ramiez cut?

Answers

What does it mean to have something be equal (Equivalent)?

Equivalence means to be same, whether it be value, temperature, size, etc.

Let's make an equation to solve this problem. We first would need to take the total (12 pounds) and divide that total by the amount each slice must weigh (1.5 pounds) to get an equal number of slices.

12 ÷ 1.5 = 8

To check our work, we can take number of slices (8), and multiply that by the weight of each slice (1.5 pounds) to get the original weight of the watermelon.

8 × 1.5 = 12

Now, we know for sure that Mr. Ramirez can make 8 watermelon slices each weighing 1.5 pounds if he has a 12-pound watermelon.

Solve it down guys :)​

Answers

Refer to the attached images.

**Should be arctan(tanx)=x on the last page**

What is the solution to the equation 16^2x-3 . 4^-2x = 4^2

Answers

The solution to the equation 16^{2x - 3} · 4^{-2x} = 4^2 include the following: C. x = 4.

What are the laws of indices?

In Mathematics, laws of indices can be defined as the standard principles or rules that are used for simplifying an equation or expression that involves powers (exponents) of the same base.

By rewriting the mathematical expression and applying the multiplication law of indices, we have the following:

16^{2x - 3} · 4^{-2x} = 4^2

4^2{2x - 3} · 4^{-2x} = 4^2

2{2x - 3} + {-2x} = 2

4x - 6 - 2x = 2

2x = 2 + 6

2x = 8

x = 8/2

x = 4.

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