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3 years ago

Student identification codes at a high school are 4-digit randomly generated codes beginning with 1 letter and ending with 3 num

bers. there are 26,000 possible codes. what is the probability that you will be assigned the code a123?

Mathematics

1 answer:

irinina [24]3 years ago

4 0

$\dfrac{1}{26,000}\approx3.8\%$

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What is .7% of 110. please help

Rus_ich [418]

.7% of 110 is .77

Hope this helps

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3 years ago

A total of $32,000 is invested in two municipal bonds that pay 4.25% and 6.25% simple interest. The investor wants an annual int

Aleks04 [339]

Answer:

$16000 invested in 4.25% and 16000 invested in 6.25%

Step-by-step explanation:

Let x be the amount invested in 4.25% and y be the amount invested in 6.25%

4.25%= 0.0425

6.25%= 0.0625

$x+y= 32000$

subtract x from both sides

$y= 32000-x$

total interest earned is 1680

$0.0425x+0.0625y=1680$

$0.0425x+0.0625(32000-x)=1680$

Now solve for x and y

$0.0425x+2000-0.0625x=1680$

subtract 2000 from both sides

$-0.02x=1680-2000$

$-0.02x=-320$

divide by -0.02 from both sides

x=16000

$y= 32000-x$

$y= 32000-16000=16000$

4 0

4 years ago

In a 30-60-90 triangle, the length of the side opposite the 30 degree angle is 9 mm. Find the length of the side opposite the 60

kicyunya [14]

Opposite the 60: 9 square roots of 3 and the hypotenuse is 18

7 0

3 years ago

Katie waters the garden every 3 days and weeds it every 4 days. She does both on April 2nd. What is the next date that she will

GaryK [48]

Answer:

So every 12 days she waters and weeds.

It will happen again on April 14

Step-by-step explanation:

List multiples of 4: 4x1 = 4, 4x2=8, 4x3=12, 4x4=16, 4x5=20

Now which one of these multiples divides evenly by 3?

Hope this helps!

3 0

4 years ago

Which of the relations given by the following sets of ordered pairs is a function?

Readme [11.4K]

Answer:

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function

Step-by-step explanation:

a.{(2,4),(2,6),(2,8),(2,10),(2,12)}

Each value of x goes to more than one value of y- this is not a function

b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}

The value of x at -4 goes to more than one value of y- this is not a function

c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}

The value of x at 0 goes to more than one value of y- this is not a function

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}

Each value of x goes to only one value of y- this is a function

4 0

3 years ago