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Kazeer [188]
2 years ago
5

The students in Mr. Nolan's class are writing expressions for the perimeter of a rectangle of side length & and width w.

Mathematics
1 answer:
Tju [1.3M]2 years ago
8 0
Sam and Erica are correct because if you multiply you l and w by two you would get the perimeter and also you can do the value of one w and multiply it by two and also the L hope it helps
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Estimate an 18% tip for a $63.30 meal
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The tip is $11.39

Step-by-step explanation:

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300

Step-by-step explanation:

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3 years ago
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A random sample of 160 car crashes are selected and categorized by age. The results are listed below. The age distribution of dr
sasho [114]

Answer:

25.05

Step-by-step explanation:

Given that a random sample of 160 car crashes are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65.

     

<26 26-45 46-65` >65  

Observed  O 66 39 25 30 160

Expected  E 40 40 40 40 160

     

Chi square      

(O-E)^2/E 16.9 0.025 5.625 2.5 25.05

Thus we get chi square test statistic = 25.05  

5 0
3 years ago
According to a report, 11 people got colds for every 2000 people.
lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......

where, n = number of trials (samples) taken = 1200 people

           r = number of success = one or more people got a cold

           p = probability of success which in our question is probability  

                 that people got colds, i.e; p = \frac{11}{2000} = 0.55%

Let X = <u><em>Number of people in Arbalest who got a cold</em></u>

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X \geq 1)

                     P(X \geq 1) =  1 - P(X = 0)  

                                  =  1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}

                                  =  1- (1 \times 1 \times 0.9945^{1200})

                                  =  0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0
3 years ago
A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is
musickatia [10]

Answer:

70.5°

Step-by-step explanation:

To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine

= cos θ = Adjacent/Hypotenuse

Where

Adjacent = Distance of the base from the house = 10ft

Hypotenuse = Length of the ladder = 30 ft

cos θ = 10/30

cos θ = 1/3

θ = arc cos 1/3

θ = 70.528779366

Approximately = 70.5°

Therefore, the ladder's angle of elevation is 70.5°

3 0
3 years ago
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