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tester [92]
3 years ago
9

A warranty identification number for a certain product consists of a letter of the alphabet followed by four-digit number. How m

any possible identification numbers are there if the first digit of the four-digit number must be nonzero?,
Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0
<span>A warranty identification number has the format: A0000 There are 26 letters in the alphabet. If the identification number has the first digit being 0 then for each letter the number can only go up to A0999. Including A0000, this means there is 1000 combinations per letter. So there is 26,000 possible identification numbers.</span>
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Helppp plzz I will give brainlist
ra1l [238]
#1. look at the individual probability first.
A dice has 6 sides. The numbers > 2 are {3, 4, 5, 6}. So the chance of rolling a number > 2 is 4/6 or 2/3 simplified.
Multiples of 3 on a dice are {3, 6}. So the chance of rolling a multiple of 3 is 2/6 or 1/3 simplified.

Rolling a dice is an independent event, like flipping a coin the previous roll does not have an effect on the outcome of the next roll. So when you see the word AND connecting the outcomes, you multiply them.

Prob of rolling >2 AND then multiple of 3 = (2/3)*(1/3)
= 2/9

#2. The total socks in the drawer: 8+8+4= 20 socks
The probability of first drawing a blue sock is 8/20 or 2/5 simplified.

Since the question does not say the socks are put back in the drawer, the total number of socks and number of blue socks decrease by 1 after the first draw. This makes the next draw dependent on the first.
The probability of drawing a blue sock is then: 7/19
because there's a blue sock missing.

Probability of drawing blue sock AND then a blue sock (without replacement)
= (2/5)*(7/19)
= 14/95

8 0
4 years ago
How many x-intercepts would the function shown below have?<br> f(x) = -5x (2x + 1)? (x² – 6)(x² + 9)
BabaBlast [244]

Step-by-step explanation:

Here we have

f

(

x

)

=

2

x

2

(

x

2

−

9

)

, which can be factorized as

f

(

x

)

=

2

x

2

(

x

+

3

)

(

x

−

3

)

As there is no common factor between numerator and denominator, there s no hole.

Further vertical asymptotes are

x

=

−

3

and

x

=

3

and as

f

(

x

)

=

2

x

2

(

x

2

−

9

)

=

2

1

−

9

x

2

, as

x

→

∞

,

f

(

x

)

→

2

, hence horizontal asymptote is

y

=

2

.

Observe that

f

(

−

x

)

=

f

(

x

)

and hence graph is symmetric w.r.t.

y

-axis. Further as

x

=

0

,

f

(

x

)

=

0

. Using calculas we can find that at

(

0

,

0

)

there is a local maxima as

d

y

d

x

=

−

36

x

(

x

2

−

9

)

2

and at

x

=

0

it is

0

. Further while for

x

<

−

3

and

x

>

3

, function is positive, for

−

3

<

x

<

3

function is negative.

Now take a few values of

x

say

{

−

10

,

−

7

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

7

,

10

}

and corresponding values of

f

(

x

)

are

{

2

18

91

,

2

9

20

,

4

4

7

,

−

1

3

5

,

−

1

4

,

−

1

4

,

−

1

3

5

,

4

4

7

,

2

9

20

,

2

18

91

}

5 0
3 years ago
Simplify 20/24 do one of ya know plz help
Eduardwww [97]
First, find the great common factor. That is 4. Then divide both numbers by it.
20 ÷ 4 = 5
24 ÷ 4 = 6

Simplified, 20/24 = 5/6
7 0
4 years ago
Read 2 more answers
brand X pizza is having a special coupon offer. if you buy two large pizzas, you get $2.00 off the total price before tax. a lar
soldier1979 [14.2K]

Answer:

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST PLEEEEEEEEEEEEE
Aneli [31]
With graphs on paper you can visually see intersecting lines(one solution), identical lines
(infinite solutions), or parallel lines(no solutions).
This method works best for lines that have integers for solutions. The task of determining rational or irrational solutions from graphs is difficult.

The substitution method usually must be used for equations with higher exponents. The deawback of this method is having to work with fractions.

The elimination method is often the method of choice.
This method however requires that you learn to recognize when the systems produce parallel lines or have equations that represent the same lines.
7 0
3 years ago
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