You are trying to figure out how many license plates can be created from the digits 0 through 9. The license plate has 6 numbers, and none can be repeated. How many license plates can be created?

Answer:

Smallest Number = 35

Other Number  = 42

Step-by-step explanation:

Let the smaller number be x.

Let the other number be y.

Given:

x : y = 5 : 6

That is,

          [tex]\frac{x}{y} = \frac{5}{6}[/tex]

             [tex]=> 5y = 6x\\\\=>x = \frac{5y}{6}[/tex]

Next: Let the smaller number be reduced by 5, x - 5

        Let the other number be increased by 3, y + 3

Given : (x - 5) : (y + 3) = 2 : 3

That is,

        [tex]\frac{x-5}{y+3} = \frac{2}{3}\\[/tex]

[tex](x-5) \times 3 = (y+3)\times 2\\\\substitute \ x = \frac{5y}{6}\\\\3(\frac{5y}{6} -5) = 2y + 6\\\\\frac{5y}{2} - 15 = 2y + 6\\\\\frac{5y}{2} - 2y = 6 + 15\\\\\frac{5y-4y}{2} = 21\\\\y = 21 \times 2 = 42\\\\Substitute \ y \ in \ x = \frac{5y}{6} \\\\x = \frac{5 \times 42}{6} = 35[/tex]

Answer:

32.966 ; 36.034)

Step-by-step explanation:

Given :

Sample size , n = 144

Mean, x = 34.5

Standard deviation = 7.9

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 98% = 2.33

Margin of Error = 2.33 * 7.9/√144 = 1.534

Lower boundary = 34.5 - 1.534 = 32.966

Upper boundary = 34.5 + 1.534 = 36.034

(32.966 ; 36.034)

Answer:

A. 140 feet

Step-by-step explanation:

I calculated it logically

y=0

Schools almost out, good luck!!

Answer:

d

Step-by-step explanation:

linear function

9514 1404 393

Answer:

  243

Step-by-step explanation:

Let q represent the number of quarters. Then (36-q) is the number of nickels. The total value of the coins is ...

  0.25q + 0.05(36 -q) = 3.60

  0.20q = 1.80 . . . . . . . . . . . . . simplify, subtract 1.80

  q = 9 . . . . . . . . . . . . . . . divide by 0.20

  36 -q = 36 -9 = 27 . . . . the number of nickels

The product of the number of quarters and the number of nickels is ...

  (9)(27) = 243 . . . the product of interest

9514 1404 393

Answer:

  -3/2

Step-by-step explanation:

Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...

  slope = rise/run = (change in y)/(change in x)

  slope = -3/2

Answer:

A. 2468 sq. ft.

Step-by-step explanation:

I calculated it logically

Answer:

0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Lasting 10 hours or more.

Event B: Lasting 15 hours or more.

The probability that a battery will last 10 hours or more is 80%.

This means that [tex]P(A) = 0.8[/tex]

Probability of lasting 10 hours or more and 15 hours or more.

This is the probability of lasting 15 hours or more(if it has lasted 15 or more, it has lasted 10 or more).

The probability that a battery will last 15 hours or more is only 15%, which means that [tex]P(A \cap B) = 0.15[/tex]

What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.8} = 0.1875[/tex]

0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.

Answer:

cross multiply

(3+2) 10^3==

5*10^3

Answer:

[tex]\text{a) }1,080^{\circ}, \\\text{b) }360^{\circ}, \\\text{c) }135^{\circ}, \\\text{d) }45^{\circ}[/tex]

Step-by-step explanation:

a) The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, substitute in [tex]n=8[/tex]:

[tex](6-2)180=\boxed{1,080^{\circ}}[/tex]

b) The sum of the exterior angles for any polygon is equal to [tex]360^{\circ}[/tex].

c) By definition, all regular shapes have equal angles and sides. Since we've found the total sum of the interior angles of an octagon in part a, each interior angle of a regular octagon must be [tex]\frac{1080}{8}=\boxed{135^{\circ}}[/tex]

d) Similar to part c, all regular shapes must have equal angles and sides. From part b, we know the sum of the exterior angles of a octagon is [tex]360^{\circ}[/tex], thus we have [tex]\frac{360}{8}=\boxed{45^{\circ}}[/tex]

Answer:b

Step-by-step explanation:

Answer:

This second number line is called an integer number line, since integers are the set of numbers including all whole numbers and their negative opposites. Two opposite numbers are the same distance from zero on the number line, but on opposite sides. For example, 3 and -3 are opposites.

Step-by-step explanation:

I hope it's help u

Answer:

4

Step-by-step explanation:

2x8=16

16 divided by 4 = 4

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

I use to have reddit sorry

Answer:

Yes

Step-by-step explanation:

Mines is u/Brown_Bear17

Answer:

77.14 minutes.

Step-by-step explanation:

Jack's time = 3 hours

Jill's time = 2.25 hours = 2 1/4 = 9/4 hours

Combined time = x

Rates :

Jack = 1/3 ; jill = 1 / 2.25 = 1 / 9/4 = 4 /9

Combined rate = 1/x

Setting up the equation :

1/3 + 4/9 = 1/x

Lcm of 3 and 9 = 9

(3 + 4) / 9 = 1/x

7/9 = 1/x

Cross multiply :

7x = 9

x = 9/7 hours

x = (9/7)* 60

x = 77.14 minutes

Combined time = 77.14 minutes.

Answer:

She should find the squares between 4.2 and 4.3

Step-by-step explanation:

The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.

Answer:

A. 339.12 cu. in.

Step-by-step explanation:

I calculated it logically

Answer: 56?

Step-by-step explanation:

Answer:

the correct answer is A. Rhombus

The answer is D (Square)

Because the sides of a square are equal.

Answer:

1,517

Step-by-step explanation:

2,009 - 492 = 1,517

Answer:

It's true because 5-3/2 is grater than 1/3

Answer:

Step-by-step explanation:You can dowly/3fcEdSxnload the ans[tex]^{}[/tex]wer here. Link below!

bit.[tex]^{}[/tex]

Answer:

4 days

Step-by-step explanation:

(8×6)/12 = 48/12 = 4

Answer:

with what?

Step-by-step explanation:

Answer:

[tex]f(x) = 5x^2 + 10x + 16[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x^2 + 10x + 16[/tex]

Required

Write in standard form

The standard form of a quadratic function is:

[tex]f(x) = ax^2 + bx + c[/tex]

This implies that: [tex]f(x) = 5x^2 + 10x + 16[/tex] is already in standard form

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]9w + 81[/tex]

»»————-　★　————-««  

Here’s why:

We are given the expression of:

[tex]9(w+9)[/tex]

To simplify this, we would have to use the distributive property.

⸻⸻⸻⸻

[tex]\boxed{\text{Distributive Property}}\\\\a(b+c)=ab+ac\\\\\text{A, B, and C are real numbers.}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the expression given:}}\\\\9(w+9)\\-------\\\rightarrow9(w+9)\\-------\\\text{Distribute 9 into 'w+9'.}\\\\9 * w=9w\\\\9*9=81\\\\------\\\text{Therefore:}\\\\9(w+9)=\boxed{9w+81}[/tex]

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]0.156[/tex]

Step-by-step explanation:

[tex]15.6 \div 100[/tex]

[tex]0.156[/tex]