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ollegr [7]
3 years ago
14

A code consist of a two digit number chosen from 00 to 49 followed by a letter of the alphabet. What is the probability the code

is 14z?
Mathematics
1 answer:
levacccp [35]3 years ago
4 0

Answer:

<em>The probability that code is 14z will be \frac{1}{1300}</em>

Step-by-step explanation:

From 00 to 49, there are total 50 two-digit numbers.

The total number of alphabets is 26.

So, the probability of choosing 14 from all 50 two digit numbers will be:  \frac{1}{50}

and the probability of choosing 'z' from all 26 alphabets will be: \frac{1}{26}

Thus, the probability that code is 14z is = \frac{1}{50}\times \frac{1}{26}=\frac{1}{1300}

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Steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
morpeh [17]

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

H(x,y) = (8,6)

San Antonio

T(x,y) = (-6,-7)

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)] (1)

S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]

S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)

S(x,y) = (4.5,2.75)

Andra

A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)] (2)

A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]

A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)

A(x,y) =(1, -0.5)

Emily

E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)] (3)

E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]

E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)

E(x,y) = (-2.5, -3.75)

a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>

Emily's beginning point is the Andra's stop point, that is, A(x,y) =(1, -0.5).

Emily should begin her turn as the third driver at point (1, -0.5).

b. <em>At what point does Emily's turn to drive end?</em>

Emily's turn to drive end at point (-2.5, -3.75).

7 0
2 years ago
"Eight more than twice a number" can be written as what algebraic expression?
Ainat [17]
" 8 more "....means add 8
" twice a number " means multiply the number by 2

ur expression is : 2n + 8
7 0
3 years ago
Read 2 more answers
If Rodney traded €228.75 for $314.52, when did he make his exchange?
never [62]
The answer is C Thursday
4 0
2 years ago
Read 2 more answers
Why is the polynomial, 4x^2y + 5xy classified as a 3rd degree binomial?
Ronch [10]
The polynomial has two terms. The exponent of the first term is two. The exponent of the second term would be 1 because 5xy^1 is equal to 5xy.
6 0
3 years ago
Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m .
Sliva [168]

The value of 15.0 N in pounds = 3.375 lb

<h3><em>Further explanation </em></h3>

The derivative magnitude is a quantity derived from the principal amount

7 main quantities have been determined based on international standards, namely:

  • 1. Length, meters (m)
  • 2. Time, second (s)
  • 3. Mass, kilograms (kg)
  • 4. Temperature, kelvin (K)
  • 5. Light intensity, candela (cd)
  • 6. Electric current, ampere (A)
  • 7. Amount of substance, mol (m)

Newton (N) is one unit of force (F) which is a quantity derived from mass (m), length (l) and time (s)

Newton can be expressed in terms of Kg m / s²

Formula used:

F = m. a

N = kg. m / s²

In the British system there are units of slug, feet, and pounds so that the unit of force becomes:

F = m. a

Lb = slug. ft / s²

The relationship between the two-unit systems above is:

1 kg = 0.0685 slug

1 slug = 14.59 kg

1 newton = 0.225 lb

1 lb = 4,448 newtons

1 ft = 0.3048 m

So if we change 15 N to lb by using slug and ft

15 N = 15 * (1 / 14.59) slug * (1 / 0.3048) ft / s²

15 N = 3,375 slug ft / s ²

15 N = 3,375 lb

or we convert directly:

15 N = 15 * 0.225 lb

15 N = 3,375 lb

<h3><em>Learn more </em></h3>

yard conversion

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the quantity 0.0075 meters expressed in centimeters

brainly.com/question/2867118

A vineyard has 145 acres of Chardonnay grapes

brainly.com/question/982615

Keywords: slug, Newton, feet, kg, pound

6 0
3 years ago
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