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3 years ago

Pre-Calculus question:

Mathematics

1 answer:

zhuklara [117]3 years ago

5 0

You already have figured the main idea. In this case, the population is growing 1.9% a year. This word can be translated into: multiplied by 101.9% (100+1.9%). That means the P0 is 6 bill, the base is 101.9%(or 1.019) and the time is 50 years. The calculation would be:
P(t)=P₀a^t
P(t)=6 billion * 101.9%^50= 6 billion * 2.56276= 15.38 billion

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3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10

wariber [46]

Answer:

The expected value of lateness $\frac{7}{20}$ hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

Lateness P (Lateness)

On Time 4/5

1 Hour Late 1/10

2 Hours Late 1/20

3 Hours Late 1/20

The formula of expected value of a random variable is:

$E(X)=\sum x\cdot P(X=x)$

Compute the expected value of lateness as follows:

$E(X)=\sum x\cdot P(X=x)$

$=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}$

Thus, the expected value of lateness $\frac{7}{20}$ hours.

8 0

2 years ago

A membership to the gym costs $23 per person in 1995. The membership cost has increased by an average of $6 per person for each

notsponge [240]

A) The membership cost starts at $23 and it adds $6 every year. The 23 would be your b and the 6 would be your slope, m, in the form y=mx+b.
y=6x+23
This equation means that you're starting at 23 dollars and adding 6 dollars with every x you add.

B) 2009-1995=14 This means that there's 14 years that the cost increased. 14*6=$84 The membership cost increased by anther $84 over the 14 years. You have to add 84 to 23 to find your total=$107.

C) Set $85 equal to 6x+23
85=6x+23
6x=62
x≈10
10 years later the cost will be $85.
1995+10=2005

4 0

3 years ago

Read 2 more answers

Zinnia and ruby earn $50 per week for delivering pizzas. Zinnia word for X weeks and earned an additional total bonus of $13. Ru

Pani-rosa [81]

Answer:

Zinnia = 50[x] +13

Rubu= 50[y]

8 0

2 years ago

The angle of ABC is how many degrees

Goshia [24]

Answer:

I think the awsner is 180 deegrees

7 0

2 years ago

GUYS I NEEDA SUBMIT THIS ASAP PLSSSSSSSS HELP OMG :''''''((

Ghella [55]

Given coordinates of the triangle RST are R(2,1), S(2,-2) and T(-1,-1).

Center of center of dilation is (2,-2).

Because center of dilation is (2,-2) so the coordinates of dilated image S(2,-2) would stay same.

Now, we need to apply rule for dilation with the scale factor 5/3.

Each of R(2,1), and T(-1,-1) would be and R' and T' would be in ratio 5/3.

We will extend RS to 5 units and TS also 5 units.

The new resulting image would be dilated triangle by a scale factor 5/3.

New coordinates would be

R'(2,3), S'(2,-2) and T'(-3,-2)

7 0

2 years ago