Please answer ( if you want )

Using the Empirical Rule, it is found that 99.7% of his commutes will be between 9 and 33 minutes.

It states that, for a normally distributed random variable:

In this problem, considering a mean of 21 minutes and a standard deviation of 4 minutes, we have that:

Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 9 and 33 minutes.

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The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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The order of integration for the double integrals below from dy dx to dx dy, or vice versa is I = ₀∫⁴ √x∫y² eˣ/y² dydx

We need to switch the order of integration

I = ₀∫⁴ ₀∫ⁿ √(xy) dxdy

From n = 0 to n = 4

y = 0 to y = n

Taken horizontal strip

on strip values of y will be fixed and values of x will be varied.

Limits of y are

y = 0 to y = 4

limits of x are

x = y to x = 4

I = ₀∫⁴ ₀∫ⁿ √(xy) dxdy

I = ₀∫² ₀∫y² eˣ/y² dxdy

Taking vertical strip

on strip values of x will be fixed and values of x will be varied.

limits of x are

x = 0 to x = 4

Limits of y are

y = √x to y = 2

I = ₀∫⁴ √x∫y² eˣ/y² dydx

Therefore,  the order of integration for the double integrals below from dy dx to dx dy, or vice versa is I = ₀∫⁴ √x∫y² eˣ/y² dydx

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(a) The proposition can be expressed as ∀x(Cliff(x) → ∃y(Adjacent(x, y) ∧ NonNull(y, r3))).

(b) The proposition can be expressed as ∀x(NonNull(x, r2) → (∃y(Adjacent(x, y) ∧ Hill(y)) ∧ ¬∃z(Adjacent(x, z) ∧ Hill(z) ∧ ¬(z = y)))).

(c) The proposition can be expressed as ∀x(Resource(x, r1) → (Corner(x) ∧ ¬∃y(Resource(y, r1) ∧ ¬(x = y) ∧ Adjacent(x, y)))).

(a) In propositional logic, we use quantifiers (∀ for "for every" and ∃ for "there exists") to express the properties. The proposition (a) states that for every location that is a cliff (Cliff(x)), there exists an adjacent location (Adjacent(x, y)) to it that contains some non-null quantity of resource r3 (NonNull(y, r3)).

(b) The proposition (b) states that for every location that contains some non-null quantity of resource r2 (NonNull(x, r2)), there is exactly one adjacent location (y) that is a hill (Hill(y)), and there are no other adjacent locations (z) that are hills (¬(z = y)).

(c) The proposition (c) states that resource r1 (Resource(x, r1)) can only appear in the corners of the grid (Corner(x)), and there are no other adjacent locations (y) that contain resource r1 (Resource(y, r1)).

By using logical connectives (∧ for "and," ∨ for "or," ¬ for "not"), quantifiers (∀ for "for every," ∃ for "there exists"), and predicate symbols (Cliff, NonNull, Resource, Hill, Corner), we can express these properties in propositional logic to represent the given statements accurately.

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Dive the total amount of flour by the amount needed for each batch of pancakes.

9/10  / 3/5

When dividing by a fraction flip the second fraction over and change the division to multiplication.

9/10 x 5/3 = (9 x 5) / (10 x 3) = 45/30 = 1 15/30 = 1 1/2 batches

Answer: 1 1/2

Answer:

11/2

Step-by-step explanation:

want je hebt dus 9/10 maar je moet allen maar 3/5 maken dus samen is het 11/2

The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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Answer:

Often

Step-by-step explanation:

Hope this helps :D

Answer:

x≥−8

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4x−6≤26

Step 2: Add 6 to both sides.

−4x−6+6≤26+6

−4x≤32

Step 3: Divide both sides by -4.

−4x/−4 ≤ 32/−4

x≥−8

Answer:

The least degree of the polynomial that assures an error smaller than 0.001 is 4.

The Lagrange error bound for the Taylor polynomial of degree n centered at x=2 for e^x is given by:

```

|e^x - T_n(x)| < \frac{e^2}{(n+1)!}|x-2|^{n+1}

```

where T_n(x) is the Taylor polynomial of degree n centered at x=2.

We want the error to be less than 0.001, so we have:

```

\frac{e^2}{(n+1)!}|x-2|^{n+1} < 0.001

```

We can solve for n to get:

```

n+1 > \frac{e^2 \cdot 1000}{|x-2|}

```

We know that |x-2| = 0.45, so we have:

```

n+1 > \frac{e^2 \cdot 1000}{0.45} \approx 6900

```

Therefore, n > 6899.

The least integer greater than 6899 is 6900, so the least degree of the polynomial that assures an error smaller than 0.001 is 4.

The fourth-degree Taylor polynomial centered at x=2 for e^x is given by:

```

T_4(x) = 1 + 2x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24}

```

We can use this polynomial to estimate e^1.45 as follows:

```

e^1.45 \approx T_4(1.45) = 4.38201

```

The actual value of e^1.45 is 4.38202, so the error in this approximation is less than 0.001.

Step-by-step explanation:

Answer:

Can't be solved

Step-by-step explanation:

Using Pythagoras theorem,

H2= O2 + A2 (where, H= Hypotenuse,O=Opposite,A=Adjacent)

The hypotenuse,H=7feet long

If the opposite side of the triangle is 4 feet longer than the adjacent side, then;

O=A+4

while, A=A

,then using H^2= O^2 + A^2(The 2 are power,that is square)

7^2 = (A+4)^2 + A^2

49= (A+4)(A+4) + A^2

49=A^2 +4A+4A+16 + A^2

49=A^2+8A+16+A^2

(collect like terms)

49-16=A^2+A^2+8A

33=2A^2+8A

Then a quadratic equation,

2A^2+8A=33

2A^2+8A-33=0,

using (-b+/-√4ac) /2a

where b=8, a=2, c=-33

[-8 +/-√4*2*(-33) ]/2(2)

-8 +/-

Step-by-step explanation:

diameter of the sun divides the diameter of an helium atom.

helium atom = 0.000000000062 = 6.2 × 10^-11

Sun = 1,400,000,000 = 1.4 × 10^9

\( \frac{1.4 \times 10 {}^{ 9} }{6.2\times 10 {}^{ - 11} } \)

\( \frac{1.4}{6.2} \times 10 {}^{9 + 11} \)

\(0.225 \times 10 {}^{20} \)

so therefore the diameter of the sun is 0.225 × 10^20 times bigger than the nucleus of an helium atom

Answer:

P = 0.05

Step-by-step explanation:

E = P4πr²

2.50 = P4π(2)²

2.50 = P4π4

2.50 = P(50.265)

P = 0.05

Answer:

14 and 15 are functions

Step-by-step explanation:

Answer:

13. no 14. yes 15. yes

Step-by-step explanation:

13 doesn't pass vertical line test

14 does pass vertical line test

15 none the numbers share the same for example if it was (0,12) and (-3,12) it would not be a function because they both have 12 as their y.

Answer:

21.6

Step-by-step explanation:

i did the math

Answer:

The total cost is 49.59 the answer for the second question is 10.16

Step-by-step explanation:

Part A. self explanatory, i just added all of the pieces together and got 49.59.

Part B. I just solved the expression 20.75 - 10.59 and got 10.16.

Answer:

\(y + 2 = \frac{5}{4} (x + 4)\)

Step-by-step explanation:

1) First, find the slope of the line. Take two points the line intersects and use them for the slope formula, \(\frac{y_2-y_1}{x_2-x_1}\). We already know the line intersects (-4, -2). Just choose any one of the points you can see the line intersecting (in this case, I chose (0,3)) and plug in its values, too. Then solve:

\(\frac{(3)-(-2)}{(0)-(-4)} \\\frac{3+2}{0+4} \\\frac{5}{4}\)

So, the slope is \(\frac{5}{4}\).

2) Now that you have the slope, plug in values for the point-slope formula, \(y - y_1 = m (x - x_1)\). In order to write a linear equation with it, the \(x_1\), \(y_1\), and \(m\) have to be substituted for with real values. The \(m\) represents the slope - which means that we should place \(\frac{5}{4}\) there. The \(x_1\) and \(y_1\) represent the x and y values of a point - and the questions wants us to use (-4, -2), so substitute -4 for \(x_1\) and -2 for \(y_1\):

\(y-(-2) = \frac{5}{4} (x - (-4))\\y + 2 = \frac{5}{4} (x + 4)\\\)

Thus, the answer is \(y + 2 = \frac{5}{4} (x + 4)\).

Answer:

0.9375 or 0.94

It cannot be rounder to the nearest hundred, but it can be rounded to the nearest hundredth

You also could've just gone and searched 15/16. T-T

The decimal 15/16 is a decimal rounded to the nearest hundred will be  0.9375.

Decimal consists of two parts whole number and a fraction part. They are separated by a term called decimal.

Example = 532.11

we know that 15/16 is a fraction, so we divide 15/16  on dividing it we will get,  

  \(\frac{15}{16}\)    =       \(\frac{9735}{1000}\)

        =       \(0.9375\)

On rounding to the nearest hundred we get  0.9375.

since it is asked for a hundred place not for the hundredth place so value will remain the same.

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Answer:

30% of students do not plan to attend college.

Answer:

163 times

Step-by-step explanation:

Let us first find how many minutes she was on the International Space Station:

1 hour = 60 minutes

114.1 hours = 114.1 * 60 = 6846 minutes

The station orbits earth every 42 minutes. Therefore, the number of times the station will orbit the earth during her stay is:

6846 / 42 = 163 times

\(\rm{\green{Answer \: is:-}}\)

\(3xy \sqrt[24]{ {4x}^{2} } \)(3xy^2 4 sqrt 4x^2)

Step-by-step explanation:

Let's see

\(\\ \rm\Rrightarrow \sqrt[4]{324x^6y^8}\)

\(\\ \rm\Rrightarrow \sqrt{4}{18^2x^6y^8}\)

\(\\ \rm\Rrightarrow 18^{2/4}x^{6/4}y^{8/4}\)

\(\\ \rm\Rrightarrow \sqrt{18}x^{3/2}y^2\)

\(\\ \rm\Rrightarrow \sqrt{18}\sqrt[2]{x^3}y^2\)

Answer:

18n - 5 ≤ -45

Step-by-step explanation:

what do you mean? theres no math. we cant answer this.

x+x is equal to 0

Answer:

2x

Step-by-step explanation:

x + x = 2x

Answer:

Step-by-step explanation:

let the price of one shirt be x and one pant be y

Eli--> x+y=600------eq1

Simin-->4x+2y=1500-----eq2

Solve both the equations

multiply eq1 x 4= 4x+4y=2400

now subtract ew2 from 1

you will get y=450 and x=150

so price of one shirt=150 kr

True. a continuous random variable x assumes an (infinitely) uncountable number of distinct values.

A continuous random variable is one that can take on any value within a specified range, and it is defined over an interval of real numbers. Since the real numbers are uncountably infinite, a continuous random variable can assume an uncountable number of distinct values. In contrast, a discrete random variable can only take on a countable number of distinct values, since its possible values are restricted to a finite or countably infinite set of numbers.

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Answer:

solutions at -1 and 11

Step-by-step explanation:

(-b ± √b²-4ac) / 2a

in this problem, a = 1, b = -10, c = -11

(10±√100-4(-1)(-11)) / 2(1) =

(10 + √144) / 2 = 22/2 = 11

(10 - √144) / 2 = -2 / 2 = -1

Answer:

option b

Step-by-step explanation:

413 is the same as a number decreased by 11 because when you say 11 is decreased by a number that means we are subtracting a number from 11 but when you say a number is decreased by 11 it means 11 is being subtracted from a certain number to give 413

I Hope this helps

Answer:

3 minutes to 10 minutes

Step-by-step explanation:

15 : 50. Both can be divided by 5

3 : 10