A graph shows the proportional relationship between the number of test questions a student gets correct, x, and the student’s test score, y. The ordered pair (1,5/4) is on the graph. What does the y- coordinate of the ordered pair represent in this relationship.

Answer:

3.57

Step - step

So the hundredth is the 6

you need to look the next number after 6

it is 8 which is more than 5 so

the hundredts number which is 6 need to plus one(+1)

3.56 + 0.01

= 3.57

and the number after seven No need to do it

Answer:

Angles 1 and 8 because they are vertically aline

Answer:

Angles 1 and 8

Step-by-step explanation:

i took the test

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

[  3   9   13 ] is the Matrix showing all types of property available in key west .

A matrix is a rectangular array or table of numbers, symbols, or expressions arranged in rows and columns to represent a mathematical object or an attribute of such an entity in mathematics.

given in the table that how many types of property are there in the table

its a simple matrix which u can directly see

its a  3 x 1 matrix ...

[3  9  13] this matrix shows the required value

hope this helps...

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Answer:  [3 9 13]

Step-by-step explanation:

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

From the question, we have the following parameters that can be used in our computation:

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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Answer:

60.15 km

Step-by-step explanation:

If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation

6 km -> 4 mi

x km -> 40.1 mi

Where x km is the length on the map we're looking for. If we cross multiply

6 * 40.1 = 4x

240.6 = 4x

x = 240.6/4

x = 60.15 km.

That is the length we're looking for

Based on simple interest, the solution to the question is that his friend will ultimately owe Darrel $2,875.

A loan or investment's interest can be calculated using simple interest using the principal, interest rate, and duration of the transaction. Because it just considers the original principal and does not account for any compounded interest, it is known as "simple" interest.

Darrel will be indebted to his friend for the following sum if he lends him $2,500 and receives repayment with 15% simple interest after a year:

Interest = Principal x Rate x Time

Interest = $2,500 x 0.15 x 1

Interest = $375

Thus, the total sum his friend will be required to pay Darrel is:

Total amount = Principal + Interest

Total amount = $2,500 + $375

Total amount = $2,875

Thus, the total amount his friend owes Darrel is $2,875.

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As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

4 pigs and 3 cows.

Step-by-step explanation:

You need to simplify 16 pigs to 12 cows. So by dividing both numbers by 4, you get the answer above.

Hopefully, this helps! :D

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Answer:

\(29+\sqrt{5}\)

Step-by-step explanation:

Let \(\sqrt{5} = a\) for simplicity. now our equation is

(2a+1)(3a-1)

now expand

2a*3a-2a+3a-1 = 6a^2+a-1

remember that \(\sqrt{5} = a\)

thus we get\(6\sqrt{5}^2+\sqrt{5}-1 = 6(5)-1+\sqrt{5}=30-1+\sqrt{5}=29+\sqrt{5}\)

Answer:

 3.6 cm²

Heron's formula is usually used for calculating triangle area from side lengths.

The semiperimeter is ...

 s = (7.2 +1.2 +6.6)/2 = 7.5

Then the area is ...

 A = √(s(s -f)(s -g)(s -h)) = √(7.5(0.3)(6.3)(0.9)) = √12.7575

 A ≈ 3.57176 cm²

The area of ΔFGH is about 3.6 square centimeters.

Step-by-step explanation:

Hope this helps:)

4.7

I just did the question.

Answer:

  3

Step-by-step explanation:

You want to know the number of roots of x^3+4x^2-9x-36.

The degree of the given polynomial is the highest exponent of x: 3. That is the number of roots the polynomial has.

There are 3 roots.

The number of sign changes among the coefficients tells you the number of positive real roots. The signs go from + to - one time, so there is one positive real root.

When the signs of odd-degree terms are switched, the signs become ...

  - + + -

There are two sign changes here, meaning that there may be 2 or 0 negative real roots. (If there are 0 real roots, the two roots are complex.)

You can see that successive pairs of terms have coefficients with the same ratio. That means you can factor this by grouping terms:

  x^3+4x^2-9x-36

  = (x^3+4x^2) -(9x+36)

  = x^2(x +4) -9(x +4)

  = (x^2 -9)(x +4)

  = (x -3)(x +3)(x +4) . . . . . roots -4, -3, and +3

__

Additional comment

The graph shows you the polynomial has 3 real roots.

Answer:

Principal = 20833.334

Step-by-step explanation:

simple interest = $5000.

Rate = 3%

Time = 8 years.

Principal = ?

Principal =

\( = \frac{100 \times simple \: interest}{r \times t} \\ = \frac{100 \times5000 }{3 \times 8} \\ = \frac{500000}{24 \\ } \\ = 20833.334\)

Principal = $20833.334.

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

SSS theorem

Step-by-step explanation:

SSS theorem

Answer:

The answer is "no".

Step-by-step explanation:

No, because the probability besides simultaneous flights to arrive on time are not self-sufficient for every flight (when the first flight was late, therefore the probabilities during the next flight were significantly greater), because then the standard multiplication principle would be used for explanatory variables.

Yes, we can multiply (0.85)(0.85)(0.85)(0.85)

Let the four flight be represented by A, B, C, and D respectively

Probability that each of the flights arrive on time is 0.85

That is:

Probability that flight A arrives on time, P(A) = 0.85

Probability that flight B arrives on time, P(B) = 0.85

Probability that flight C arrives on time, P(C) = 0.85

Probability that flight D arrives on time, P(D) = 0.85

Probability that the next four flights arrive on time will be:

P(A) x P(B) x P(C) x P(D) = 0.85 x 0.85 x 0.85 x 0.85

Yes, we can multiply (0.85)(0.85)(0.85)(0.85)

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Given:

To find: the value of the angle

Explanation:

Solving the equation, we get

Using the identity,

So, we write

Final answer: The value of the angle is

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

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a) The statement " The intersection of two events A and B can be larger than the union of the same two events A and B" is False.

b) The statement " The probability of a single event A must be smaller than or equal to the union of two events A and B" is False.

c) The statement " The condition probability of A given B must be smaller than the intersection of the same two events A and B"  is False.

(a) False. The intersection of two events A and B represents the set of outcomes that are common to both A and B, while the union of the same two events A and B represents the set of outcomes that belong to either A or B or both. Hence, it cannot be larger than the union of A and B.

(b) False. The probability of an event A must be between 0 and 1 (inclusive), while the union of two events A and B represents the set of outcomes that belong to either A or B or both. The probability of the union of A and B is the sum of the probabilities of A and B, which can be larger than the probability of A.

(c) False. The conditional probability of A given B, denoted as P(A|B), represents the probability of event A occurring given that event B has already occurred.  Since the intersection of A and B must be less than or equal to 1, the conditional probability of A given B must also be less than or equal to 1.

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Answer:Click on the file below

Step-by-step explanation:

The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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Answer: 50 points

Step-by-step explanation:

Answer:

7 hours

Explanation:

Divide 5 and 335 then multiply by 469

because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles

5 / 339 × 469 =7 hours

Answer:

2 1/2

Step-by-step explanation:

To solve this, we subtract 1 7/8 from 4 3/8 because Kyle "gives" away his candy. The answer to this is 2 1/2.

Answer:

2.5 OR 3 1/2

Step-by-step explanation:

Well we can just do

4 and 3.8 minus 1 and 7/8

like how you would do on real problems

Do the same thing to fractions instead

Hope this helps! Im a real math expert

Tell me if anymore questions!

Answer:

slightly less than 12

Step-by-step explanation:

if you divide 36/pi, the answer would be about 11.4591559026. this is less than 12.

Answer:

b

Step-by-step explanation:

Based on the information given the amount that was in the fund to begin with is $22.8 billion.

Using this formula

Fund amount=Credit unions amount paid/Reserve fund percentage

Where:

Credit unions amount paid=$1.92 billion

Reserve fund percentage=8.42% or 0.0842

Let plug in the formula

Fund amount=$1.92 billion/0.0842

Fund amount=$22.8 billion

Inconclusion  the amount that was in the fund to begin with is $22.8 billion.

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Answer:

This is number 1: one and five hundred sixty-five thousandths

This is number 2: one point five hundred sixty-five

This is number 3: one point five six five

Step-by-step explanation:

Hope I helped bro!