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3 years ago

Please halp. i am not smart

Mathematics

1 answer:

Leya [2.2K]3 years ago

6 0

Let's start with 22-C!

To figure out the problem, let's establish what it's asking. It wants to know the one time fee of using the trash dumpster. Your teacher may have taught you a better way to do this, but I'll show you how to solve it via logic.

We first need to set up a basic equation. X will be the unknown fee, 195 will act as the total, and 9(15) will represent the remaining cash (you get this from 15$ an hour for 9 hours).

The equation should look something like this:

x + 9(15) = 195 OR (simplified) x + 135 = 195.

At this point we can solve it like a regular equation. Subtract 135 on both sides:

x = 60. Therefore, the fee for using the dumpster is 60$.

Now we can move on to 23-A & B!

First, let's go over 2 basics: point slope formula and slope intercept.

Point slope formula: <em>y - y $y-y_{1} = m(x - x_{1} )$ </em>

Slope intercept: <em>y = mx + b</em>

We know that .5 is the slope because it's dependent on an amount of time (or dependent in general). 64 can be used as y1 and 48 as x1.

The formula would be: y - 64 = .5(x - 48).

As for part B, we plug in the same numbers! We've previously found that .5 is the slope (m) and it appears you already know that the y-intercept (b) is 40. Plug it in like so:

y = .5x + 40

All of the answers are bolded, I hope this helped!

You might be interested in

The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development

Bad White [126]

Answer:

a) Let the random variable X= "number of these tracks where SBIRS detects the object." in order to use the binomial probability distribution we need to satisfy some conditions:

1) Independence between the trials (satisfied)

2) A value of n fixed , for this case is 20 (satisfied)

3) Probability of success p =0.2 fixed (Satisfied)

So then we have all the conditions and we can assume that:

$X \sim Bin(n =20, p=0.8)$

b) $X \sim Bin(n =20, p=0.8)$

c) $P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456$

d) $P(X \geq 15) = P(X=15)+ .....+P(X=20)$

$P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456$

$P(X=16)=(20C16)(0.8)^{16} (1-0.8)^{20-16}=0.218$

$P(X=17)=(20C17)(0.8)^{17} (1-0.8)^{20-17}=0.205$

$P(X=18)=(20C18)(0.8)^{18} (1-0.8)^{20-18}=0.137$

$P(X=19)=(20C19)(0.8)^{19} (1-0.8)^{20-19}=0.058$

$P(X=20)=(20C20)(0.8)^{20} (1-0.8)^{20-20}=0.012$

$P(X\geq 15)=0.804208$

e) $E(X) = np = 20*0.8 = 16$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

Let the random variable X= "number of these tracks where SBIRS detects the object." in order to use the binomial probability distribution we need to satisfy some conditions:

1) Independence between the trials (satisfied)

2) A value of n fixed , for this case is 20 (satisfied)

3) Probability of success p =0.2 fixed (Satisfied)

So then we have all the conditions and we can assume that:

$X \sim Bin(n =20, p=0.8)$

Part b

$X \sim Bin(n =20, p=0.8)$

Part c

For this case we just need to replace into the mass function and we got:

$P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456$

Part d

For this case we want this probability: $P(X\geq 15)$

And we can solve this using the complement rule:

$P(X \geq 15) = P(X=15)+ .....+P(X=20)$

$P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456$

$P(X=16)=(20C16)(0.8)^{16} (1-0.8)^{20-16}=0.218$

$P(X=17)=(20C17)(0.8)^{17} (1-0.8)^{20-17}=0.205$

$P(X=18)=(20C18)(0.8)^{18} (1-0.8)^{20-18}=0.137$

$P(X=19)=(20C19)(0.8)^{19} (1-0.8)^{20-19}=0.058$

$P(X=20)=(20C20)(0.8)^{20} (1-0.8)^{20-20}=0.012$

$P(X\geq 15)=0.804208$

Part e

The expected value is given by:

$E(X) = np = 20*0.8 = 16$

5 0

3 years ago

Is 8.73 a rational number

djverab [1.8K]

Answer:

Yes

Step-by-step explanation:

8 73/ 100=8.73

3 0

3 years ago

The scale factor from a small triangle ABC to a large triangle XYZ is 5. How many times larger will the perimeter of triangle XY

Ierofanga [76]

Answer:

Answer below :)

Step-by-step explanation:

Hi there!

Question 4 - the answer will be 5. Since the scale factor is 5, we would (hypothetically) multiply the area by 5 to get the new area of XYZ, so area XYZ is 5 times the area of ABC.

Question 5 - A.

First we multiply 45 by 12 to find the amount in inches. This is 540. Now, we divide that by 6 to get 90. This is our scale factor in inches, but the answers only show the scale in feet, so we have to convert. Divide 90 by 12 to get 7.5.

I hope this helps!

4 0

3 years ago

How do I graph this?

vfiekz [6]

See attachment of the graph of the inequalities x + 7y ≤ 49 and 6x + y ≤ 48

<h3>How to graph the inequalities?</h3>

The inequalities are given as:

x + 7y ≤ 49

6x + y ≤ 48

The domain and the range are:

x ≥ 0

y ≥ 0

This means that, we plot the inequalities x + 7y ≤ 49 and 6x + y ≤ 48 under the domain and the range x ≥ 0 and y ≥ 0

See attachment of the graph of the inequalities x + 7y ≤ 49 and 6x + y ≤ 48