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aleksandrvk [35]
2 years ago
5

Jake is going to call one person from his contacts at random. He has 303030 total contacts. 161616 of those contacts are people

he met at school.
What is \text{P(call a person from school})P(call a person from school)start text, P, left parenthesis, c, a, l, l, space, a, space, p, e, r, s, o, n, space, f, r, o, m, space, s, c, h, o, o, l, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Mathematics
1 answer:
Travka [436]2 years ago
4 0

Answer:

0.53

Step-by-step explanation:

I think the question is:

Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts are people he met at school.

What is call a person from school?

If necessary, round your answer to 2 decimal places.

The probability of choosing a contact from school is 16/30, which is equivalent to 8/15. That is about 0.53333, with a repeating decimal. So, if you round that to 2 decimal places, it is 0.53.

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A large box of jelly beans weighs 96.58 lb the jelly beans are evenly divided into 22 bags what is the weight in pounds of the j
Vadim26 [7]

Answer:

The weight in each bag is 4.39lb.

Step-by-step explanation:

To solve this, you simply need to divide 96.58 by 22. The reason you do this is so that way you can divide all of the weight into 22 bags.

96.58 ÷ 22 = 4.39

This means that the weight in each bag is 4.39lb.

4 0
2 years ago
Help plz...
tino4ka555 [31]

Answer:

A

Step-by-step explanation:

4^3+7=4^10

5 0
3 years ago
For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
2 years ago
3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,
alina1380 [7]

Answer:

$138,345

Step-by-step explanation:

This is a compound decline problem, which will be solve by the compound formula:

F=P(1-r)^t

Where

F is the future value (value of house at 2030, 14 years from  2016)

P is the present value ($245,000)

r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)

t is the time in years (2016 to 2030 is 14 years, so t = 14)

We substitute the known values and find F:

F=P(1-r)^t\\F=245,000(1-0.04)^{14}\\F=245,000(0.96)^{14}F=138,344.96

Rounding it up, it will be worth around $138,345 at 2030

8 0
3 years ago
Yukio says the scale from DEF to ABC is 3:1. Is Yukio Correct? Explain
Angelina_Jolie [31]

Answer: Yes, Yukio is correct.

Step-by-step explanation:

Assuming that Triangle DEF and ABC have the same angles (they do because they are right-angled), we can take the length from the larger triangle (DEF) and divide it by the length of the smaller triangle (ABC).

Length of DEF = 6cm

Length of ABC = 2cm

= 6/2

= 3

Proves that scale of DEF to ABC is 3:1

6 0
3 years ago
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