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-BARSIC- [3]
3 years ago
10

A mail courier charges a base fee of $6.95 plus $7.60 per package being delivered. If x represents the number of packages delive

red, which of the following equations could be used to find y, the total cost of mailing packages?
Mathematics
1 answer:
castortr0y [4]3 years ago
5 0
Since 7.6 is the cost per package, and x represents the number of packages, the expression 7.6x would represent the cost for the packages. Once we add the base fee, we get the equation:

y = 7.6x + 6.95

Hope this helps.
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Step-by-step explanation:

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3 years ago
Find three prime numbers that add up to another prime number.
Illusion [34]
5+7+11=23
3+11+53=67
3+11+61=71
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3 0
3 years ago
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I need help with this one <br><br><br><br> Q13
horsena [70]

Answer:

x= 2 5/6

Step-by-step explanation:

1/3= 2/6

2 1/2= 2 3/6

2/6+ 2 3/6= 2 5/6

Hope this helps! :)

6 0
2 years ago
Read 2 more answers
A particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls invol
Phoenix [80]

Answer:

0.1091 or 10.91%

Step-by-step explanation:    

We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.  

We will use Bernoulli's trials to solve our given problem.

P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}

P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}

P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}

P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)

P(X=6)=38760\cdot (0.000064)(0.04398046511104)

P(X=6)=0.1090997009730

P(X=6)\approx 0.1091\\

Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.

4 0
3 years ago
What is the area of the given figure?
kirza4 [7]

\huge\boxed{192\ \text{in}^2}

There are three parts to this figure: a rectangle and two triangles that are congruent.

We'll add together the area for each to get the total area.

We'll start by finding the area of the rectangle. We don't know its length, so we need to find the bases of the triangles and add them together.

We know that a^2+b^2=c^2. Substitute and solve for a:

\begin{aligned}a^2+6^2&=10^2\\a^2+36&=100\\a^2+36-36&=100-36\\a^2&=64\\\sqrt{a^2}&=\sqrt{64}\\a&=8\end{aligned}

Now, double this to get the total length of the rectangle, which is 16 inches.

The area of the rectangle is equal to its length times its height:

16\cdot9=\underline{144}

Now, we'll find the area of one of the triangles and double it since they're congruent.

The area of a triangle is one-half of its base times its height, which we then double.

2\left(\frac{1}{2}\cdot b\cdot h\right)

The 2 and the \frac{1}{2} cancel each other out.

b\cdot h

Substitute and solve:

8\cdot6=\underline{48}

Finally, add the rectangle's area to the two triangles' area.

144+48=\boxed{192}

6 0
2 years ago
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