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Paraphin [41]
3 years ago
9

Notebooks are on sale 10 notebooks for 3.00$ Mrs. Day wants to purchase some with her 24.00$. How many notebooks can she purchas

e??
Mathematics
2 answers:
Sphinxa [80]3 years ago
6 0
ANSWER: 80

If you divide 24 by 3 you’ll get 8 and since our number of notebooks is ten you use the zero rule and an a zero to the 8 making the answer 80
igor_vitrenko [27]3 years ago
3 0

Answer:

80

Step-by-step explanation:

24 /3 = 8 so

8 * 10 = 80

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At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a
morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = \dfrac{15}{120}=0.125

As we know the poisson process, we get that

P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda

So, for exactly one car would be

P(n=1) is given by

=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

0.2599\times 18=4.6798

We will find the traffic flow q such that

P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%

Hence, a) 4.6798, and b) 19.8%.

7 0
3 years ago
2) The triangles are similar. Find the similarity ratio of the first triangle to the 1 point
USPshnik [31]

Given:

Triangles FRI and DAY are similar.

To find:

Similarity ratio

Solution:

<em>If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.</em>

Here, FR and DA are corresponding sides.

$\Rightarrow \frac{FR}{DA} =\frac{4}{6}

Cancel the common factors of 4 and 6, we get

$\Rightarrow \frac{FR}{DA} =\frac{2}{3}

⇒ FR : DA = 2 : 3

⇒ ΔFRI : ΔDAY = 2 : 3

Similarity ratio of the first triangle to the second triangle is 2 : 3.

7 0
3 years ago
Is the function described by the points in this table linear or nonlinear?
Flauer [41]

Answer:

nonlinear

Step-by-step explanation:

6 0
2 years ago
Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000
Kobotan [32]
If Bryan wants to make $2000 dollars then he needs to solve this equation:

2000=500+150x
-500   -500

1500=150x   divide by 150 on both sides

x=10

10 cars
  
3 0
3 years ago
Read 2 more answers
Plz help me this one is a lil tough
Aneli [31]

Answer:

100 degrees

Step-by-step explanation:

It's going through 140 and 40, 180 - 40 = 140

180 cause a flat line is 180 degrees

8 0
3 years ago
Read 2 more answers
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