2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?​

Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

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Answer:

C

Step-by-step explanation:

There is a common ratio between consecutive terms

r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = \(\frac{3}{2}\)

This indicates the sequence is geometric with nth term ( explicit formula )

f(n) = a₁\((r)^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = 16 and r = \(\frac{3}{2}\) , then

f(n) = 16 \((\frac{3}{2}) ^{n-1}\) → C

Given data:

The expression for the parabola is y=-x^2 +6x-5.

The given equation can be written as,

Thus, the vertex of the parabola is (3,4).

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

Using the Divergence Theorem, we get the flux of F across the closed surface S is π/2 (27√2 - 27).

To apply the Divergence Theorem, we will first compute the divergence of F as follows -

div(F) = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z

= 1 + 1 + 1

= 3

Now we will calculate the flux of F across the closed surface S that completely surrounds T. By the Divergence Theorem, this is equal to the triple integral of the divergence of F over the region T and is given by -

∫∫S F•n dS = ∭T div(F) dV

We can describe the region T using cylindrical coordinates:

0 ≤ r ≤ 2

-π/2 ≤ θ ≤ π/2

0 ≤ z ≤ √(9 - r sin θ)

The bounds on r and θ come from the fact that the half cylinder is contained within the plane x = 2, and the plane y = ±3. The bounds on z come from the equation of the half cylinder.

Now we can write the triple integral as follows -

∭T div(F) dV = ∫0^2 ∫-π/2^π/2 ∫0^√(9 - r sin θ) 3 r dz dθ dr

Evaluating this integral, we get,

∭T div(F) dV = π/2 (27√2 - 27)

Therefore, the flux of F across the closed surface S is π/2 (27√2 - 27).

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Answer: 15,000

Step-by-step explanation:

40 percent *37500

= (40/100)*37500

= (40*37500)/100

= 1500000/100 = 15,000

Answer:

x ≤ -9 and x ≤ 5

Step-by-step explanation:

2x² + 4x - 85 ≤ -4x +5

2x² + 8x - 85 ≤ 5

2x² + 8x - 90 ≤ 0

x² + 8x -180 ≤ 0

(x + 18)(x - 10) ≤ 0

(x + 9)(x - 5) ≤ 0

x + 9 ≤ 0

x ≤ -9

x - 5 ≤ 0

x ≤ 5

Answer:

Miriam has $6, Phoebe has $16, and Grace has $32

Step-by-step explanation:

So we know Kendra has $54. (I'm being very obvious, aren't I) The first thing we need to figure out is how much money Miriam has. We have to guess around with this since there isn't much info on it anyways. I started guessing around with 5 and ten, and those weren't accurate, so that narrows it down to somewhere in between. Let me explain now how I did it.

If Miriam was loaned $6 of the total of 54, and Phoebe has 10 more dollars than that, she would have 16. Then, if Grace had twice the amount of 16, we know that 16 + 16 (or 16 x 2) equals 32.

Now if we add up Miriam, Phoebe, and Grace's loaned money, we will get our answer.

6 + 16 + 32 = 54

Answer:

6 Cranes

Step-by-step explanation:

Given

Animals: Zebra & Cranes

\(Heads = 18\)

\(Legs = 60\)

Required

Determine the number of Cranes

Represent Zebra with Z and Cranes with C

A Zebra has 1 head and 4 legs

A Crane has 1 head and 2 legs

So:

\(Z + C = 18\)

\(4Z + 2C = 60\)

Make Z the subject in the first equation

\(Z = 18 - C\)

Substitute 18 - C for Z in the second

\(4(18 - C) + 2C = 60\)

\(72 - 4C + 2C = 60\)

Collect Like Terms

\(- 4C + 2C = 60 - 72\)

\(- 2C = -12\)

\(2C = 12\)

Solve for C

\(C= 12/2\)

\(C = 6\)

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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Answer:

4

Step-by-step explanation:

4-2

Answer:

y=\(\frac{18-5x}{3}\)

Step-by-step explanation:

5x-3y=18

3y=18-5x

y=\(\frac{18-5x}{3}\)

Answer:

Square Root of 7 = 7^1/2    = 2.646

Cubed Root of 7 = 7^1/3    = 1.913

Square Root of 7^3 = 7^3/2     = 3.659

\(\dfrac{x^2y}{2} = \dfrac{(-1)^2 \cdot 5 }{2} = \dfrac{1 \cdot 5}2 = \dfrac 52\)

Answer:

7.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 x 3.6 = 7.2

6 shapes can be drawn by the given code.

Shapes in mathematics specify an object's boundaries or contour. Depending on their characteristics, the forms can be divided into many types. The shapes are typically enclosed by an outline or boundary that is composed of points, lines, curves, etc. Geometric figures and figures composed of fixed lines or curves are other names for forms. There are two types of shapes: closed shapes and open shapes. Examples of shapes in daily life are the Sun, Earth, Doors, Windows, Watches, Wall Clocks, and so forth.

Given

Codes are def draw shapes( centerx , centery, radius, points, color): star(centerx, centery, radius, points, fill.

6 shapes can be drawn by the given code.

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A statement 'A correlation compares that rate at which a characteristic or property appears in two different populations.' is True

We know that a correlation is nothing but a statistical process for establishing the relationships between two variables.

It indicates that as one variable changes in value, the other variable tends to change in a particular direction.

A correlation measures the extent to which two variables are linearly related.

It gives the strength of the linear relationship between two variables.

Therefore, the statement 'A correlation compares that rate at which a characteristic or property appears in two different populations.' is True.

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Answer:

.

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

you ok bud? dont be sad its ok :D

The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.

POA is a right angle so it is 90 degrees.

POC +COA = 90  .....(1)

Also, POC is 3 times as large as COA.

Let's take COA, "x"

POC = 3x

Substituting the values in equation (1) as follows:

x + 3x = 90

4x = 90

x= 22.5

Therefore,

COA = 22.5°

POC = 22.5*3 = 67.5°

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Answer:

$3.96

Step-by-step explanation:

Use the formula:
\(p(1+\frac{r}{n} )^{nt}\)

p is our initial investment

r is the interest rate

n is the term

t is time

doing this we get

\(200(1+\frac{.04}{1})^{0.5}\)

where t = 0.5 because the term is 6 months or half a year

We get a value of 203.96 which is the amount of money being paid after 6 months.

The interest is then our initial value of $200 subtracted from our final value.

\(203.96-200= 3.96\)

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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Answer:

1. d)

4.a)

2.a)

5.d)

Step-by-step explanation:

Answer:

what's the graph?

Step-by-step explanation:

Explanation:

Most states (but not all) require liability insurance at minimum. This covers injury and property damage to the person you accidently hit. It likely does not cover you personally so you'd need other insurance for that.

States like Iowa, New Hampshire, and Ohio offer exemptions from insurance if you can show you are responsible with money. Meaning that if you have a steady income and are smart with money, then you likely would be able to pay off any future accident without needing insurance. Though the damages might get wildly expensive, so a liability policy isn't always a bad thing.

Answer:

33480783

Step-by-step explanation:

Geometric term is given by: Tn = ar^(n - 1)

and r = -3

T15 = 7 * (-3)^(15-1)

T15= 7 * 4782969

T15 = 33480783

Since the (i,j)-entry of A is equal to 0 whenever i ≠ j, it follows that A is a diagonal matrix with all diagonal entries equal to 0. Therefore, .t 5i /n1.t 6i /n1 = 0

To prove that \(.t 5i /n1.t 6i /n1 = 0\), we will show that the vectors .t 5i / and .t 6i / are linearly dependent.

Since 5 and 6 are the only eigenvalues of t, it follows that the characteristic polynomial of t is given by

\(p.t / d .t /5 .t /6\)

Let .t 5i / and .t 6i / be the corresponding eigenvectors for the eigenvalues 5 and 6, respectively. Since the eigenvectors .t 5i / and .t 6i / are corresponding to different eigenvalues, they are linearly independent.

However, since the characteristic polynomial p.t / is a polynomial of degree 2, it follows that the eigenvectors .t 5i / and .t 6i / must span the entire vector space V. Therefore, any vector in V can be expressed as a linear combination of .t 5i / and .t 6i /. In particular, we can express the zero vector 0 as a linear combination of .t 5i / and .t 6i /, which means that .t 5i / and .t 6i / are linearly dependent.

Thus, we have shown that .t 5i /n1.t 6i /n1 = 0, as desired.

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Answer:

62.5

Step-by-step explanation:

37.5+62.5=90 a complementary angle