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lys-0071 [83]
3 years ago
11

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 1

2? StartFraction 1 over 100 EndFraction StartFraction 1 over 12 EndFraction StartFraction 11 over 100 EndFraction StartFraction 12 over 100 EndFraction
Mathematics
2 answers:
nadya68 [22]3 years ago
5 0

Answer:

11/100

Step-by-step explanation:

gogolik [260]3 years ago
4 0

Answer:

11/100

Step-by-step explanation:

I took the test on edge and got 100 percent :)

Real explanation:

It's quite easy actually. Just get all the numbers that are less than 12 and make it a fraction over the maximum number, and in this scenario it's 100. So your end result is <u>11/100</u>

Hope it helps! (can I get brainliest pls?)

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Mice21 [21]

Answer:

T_7 = 11

T_n = 2n- 3

Step-by-step explanation:

Given

S_n = n^2 -2n

T_n = S_n - S_{n-1}

Solving (a): T7

Substitute 7 for n in T_n = S_n - S_{n-1}

T_7 = S_7 - S_{7-1}

T_7 = S_7 - S_6

Calculate S7 and S6

S_n = n^2 -2n

S_7 = 7^2 - 2 * 7 = 35

S_6 = 6^2 - 2 * 6 = 24

So:

T_7 = 35 -24

T_7 = 11

Solving (b): Tn

T_n = S_n - S_{n-1}

Where S_n = n^2 -2n

CalculateS_{n-1}

We have:

S_{n-1} =(n-1)^2 - 2(n-1)

Open brackets

S_{n-1} = n^2 -2n + 1 -2n +2

S_{n-1} = n^2 -2n-2n + 1  +2

S_{n-1} = n^2 -4n + 3

So:

T_n = S_n - S_{n-1}

T_n = n^2 - 2n - (n^2 -4n + 3)

T_n = n^2 - 2n - n^2 +4n - 3

Collect Like Terms

T_n = n^2 - n^2- 2n  +4n - 3

T_n = 2n- 3

5 0
3 years ago
Find the midpoint of the line segment whose endoints are 3,10 and 7,8
aliina [53]
The midpoint would be (5,9)
8 0
4 years ago
The diameter of a basketball is approximately 24 cm. Find the volume to the nearest
erica [24]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
What is the length of AC¯¯¯¯¯
Nutka1998 [239]

Answer: AC=12 cm

Step-by-step explanation:

To  solve this problem you must apply the law of sines, as you can see below:

\frac{a}{sinA}=\frac{b}{sinB}

Where:

a=13

A=85.2°

B=71.6°

Therefore, you must solve for b, then, you obtain that the lenght AC asked in the problem above is:

b={sinB}*\frac{a}{sinA}\\b=\frac{sin(71.6)*13}{sin(85.2)}\\b=12

5 0
3 years ago
Read 2 more answers
Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds con
KiRa [710]

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

8 0
3 years ago
Read 2 more answers
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