A quiz consists of 20 multiple-choice questions, each with 4 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.

Answer:

249 ft

Step-by-step explanation:

70yd=210 ft   so  210+15+24=249

Answer:

249 ft

Step-by-step explanation:

24 + 15 = 39

39/3 = 13

13 + 70 = 83

83 * 3 = 249

The probability of snow is about 0.75

The probability of snow is greater than 0.5.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Southern Florida has a mild climate.

We have to check the statement which shows the probability of snow in southern Florida is mostly likely true.

The probability of  snow in June in June southern Florida.

So the probability of snow is greater than 0.5.

Hence, The probability of snow is greater than 0.5.

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The distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone. This can be obtained by converting the conditions to equations.

A linear function containing one dependent and one independent variable.

It can be represented using the equation,

y = mx + c

where m is the slope

It is given in the question that,

Rachel is a stunt driver and one time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.

After 4 seconds of driving, she was 70 meters away from the safe zone.

Let, D(t) be the distance to the safe zone (measured in meters) and t be the  time (measured in seconds)

After 4 seconds of driving, she was 70 meters away from the safe zone.

⇒ This means that at t = 4 seconds, D(4) = 70 meters

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative

⇒ m = - 24

y = mx + c

⇒ D(t) = (-24)t + c

Put t = 4,

D(4) = (-24)4 + c

70 = -96 + c ⇒ c = 166

⇒ D(t) = 166 - 24t

Hence the distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone.

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Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

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When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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Answer:

Step-by-step explanation:

Answer:

it's 12

4, 8, 12

6, 12

Answer:

2880

Step-by-step explanation:

!=factorial. Factorial means you are multiplying by a number by the numbers less than it.

so that means 6*5*4*3*2*1=720.

And the factorial of 4 is 4*3*2=24.

24^2=576

So now we have to find the LCM of 576 and 720.

I will use the prime factorization method so the prime factorization of 576 is:

2*2*2*2*2*2*3*3

Prime factorization of 720:

2*2*2*2*3*3*5

So we first we gotta find the GCF, which is 2*2*2*2*3*3 because that is something that they both share in their prime factorizations. So the answer to the GCF is 144.

So now, the numbers that we did not use which is a 2 and another 2 and a 5. So 2*2*5=20

Answer:

4pqr

Step-by-step explanation:

because pqr is 1pqr

so 1pqr + 3pqr is

4pqr

Answer:C. They have the same y-intercept and the same end behavior as x approaches

Step-by-step explanation:

The number of inches the bicycle tires travel in 75 rotations is 3,768 inches. Therefore, option C is the correct answer.

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

Given that, the tires on a bicycle each have a diameter of 16 inches.

So, radius =16/2 =8 inches

We know that, the circumference of a circle =2πr

= 2×3.14×8

= 50.24 inches

The bicycle tires travel in 75 rotations is

75×50.24

= 3768 inches

Therefore, the distance traveled by bicycle is 3768 inches.

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Answer:

-0.6

Step-by-step explanation:

Answer:

  0π

Step-by-step explanation:

After you add 5 and divide by 7, you find you're looking for solutions to ...

  cos(θ) = 1

Your knowledge of the cosine function tells you the solution is ...

  θ = 0 . . . . . matches the last choice (only)

___

Any multiple of 2π is a solution, but the only one in the allowed domain is 0π.

Answer:

3 will be the answer.

Step-by-step explanation:

Hope it's help you ♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

350

Step-by-step explanation:

calculator

Focus on Gamble B only. Multiply each winnings with their corresponding probabilities.

5100*0.50 = 2550

200*0.25 = 50

0*0.25 = 0

Add up those results: 2550+50+0 = 2600

The expected value of gamble B is $2600

Answer:

6 cm

Step-by-step explanation:

The area of a square is its side squared(multiplied by itself). In order to find the length of the square, you would need to find a number which is multiplied by itself to get 36. This number is 6, meaning the length of the square is 6 cm.

Consecutive numbers are numbers that follow each other in order, with a difference of 1 between each number.

The concept of consecutive numbers has been studied since ancient times, and has been used in various mathematical problems and puzzles.

Consecutive numbers are also commonly used in algebra, where they can be used to set up equations to solve problems. For example, if you are asked to find the sum of the first n consecutive numbers, you can set up the equation (n/2)(2a + (n-1)) = sum, where a is the first number and sum is the total sum of the consecutive numbers.

In geometry, consecutive numbers are used to define polygons, such as triangles, quadrilaterals, pentagons, and so on. For example, a triangle consists of three consecutive vertices on a plane, while a quadrilateral consists of four consecutive vertices.

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Total milligrams

COST PER MG:-

Answer:

$3.17

Step-by-step explanation:

1 pill = 3 mg

⇒ 45 pills = 45 × 3 = 135 mg

45 pills = $427.95

⇒ 135 mg = $427.95

⇒ 1 mg = $427.95 ÷ 135 = $3.17

Answer:

$2,880

Step-by-step explanation:

18 x 40 = 720 earned per week

720 x 4 (weeks) = 2880 earned in 4 weeks

Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

Answer:

-37

Step-by-step explanation:

-24+(-65) /5

-24 + (-13)

-37

Answer:

-37

Step-by-step explanation:

-24+(-65)/5

-24+(-65/5)

-24 - 13

-37

Answer: 282

Explaintion: 30+88= to whatever ask and then - 400 equals to 282

Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

The expression we have is:

We need to compare this expression with the Vertex form of the quadratic equation:

Where the vertex is at (h,k).

We rewrite our expression as follows:

And we can see that h=-3, and k=9. Thus, the vertex of this quadratic function is at:

Also, since we have a negative sign along side the x, that means that the parabola opens down.

And the correct result is:

Option C

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

241.3 feet

Step-by-step explanation:

From the above question, we solve for this using the law of cosines

Law of cosines

a² = b² + c² -2bc Cos A

a =  √b² + c² -2bc Cos A

a = The distance between the bases in Little League =  60 feet

b = ???

c = The distance from home plate to the fence in dead center at the Oak Lawn Little League field =  280 feet

A = It makes an angle of 45°

This is because the distance 60 feet and 280 feet are perpendicular to each other and they meet at a point that divides a right angle 90° into equal parts.

a = √280² + 60² - 2 × 280 × 60  × Cos 45

a = 241.33216 feet

Approximately = 241.3 feet

How far is it from the fence in dead center to third base? 241.3 feet

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

⇒ D = 8.74 units .

Answer:

17.25

Step-by-step explanation:

I hope this helps!

The solution is: the fraction 69/4​ as a decimal is 17.25.

we have,

the fraction is 69/4​

now, we get,

69 ÷ 4 = 17.25

i.e. we get,

we have to find how many times 4 would go into 69 by dividing

The quotient is 17 and 4 x 17= 68

Left is 1 which still has to be divided by 4 1/4= 0.25

so, we get,

17+0.25

=17.25

Hence, The solution is: the fraction 69/4​ as a decimal is 17.25.

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Answer:

152 cm²

Step-by-step explanation: