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Strike441 [17]
4 years ago
14

A circular running track 1/4 is mile long. Elena runs on this track, completing each lap in 1/20 of an hour. Elena's running spe

ed? Include the unit of measure.
Mathematics
1 answer:
Delicious77 [7]4 years ago
5 0

<u><em>Answer:</em></u>

Elena's running speed is 5 miles/hour

<u><em>Explanation:</em></u>

The speed is defined as the covered distance per unit time

<u>In the problem, we have:</u>

The distance covered is the length (circumference) of the circular track which is given as \frac{1}{4} of a mile.

We are also given that she completes each lap (she completes \frac{1}{4} of a mile) in \frac{1}{20} of an hour

To get her speed, we will divide the distance covered by the time taken to cover this distance

<u>This is done as follows:</u>

speed = \frac{\frac{1}{4} }{\frac{1}{20} } = 5 miles/hour

<u>This means that:</u>

Elena can run 5 miles each hour

Hope this helps :)

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> Evaluate.
vesna_86 [32]

Answer:   B) 46

<u>Step-by-step explanation:</u>

We are looking for the sum of terms 2 through 5.  One option is to find each term and then add them up.

a_i=3i+1\\\\a_2=3(2)+1=7\\a_3=3(3)+1=10\\a_4=3(4)+1=13\\a_5=\underline{3(5)+1=16\ }\\.\qquad \quad \text{Total}=\boxed{46}

3 0
3 years ago
Two exterior angles of a triangle equal 100° and 150°. Find all the interior angles
harkovskaia [24]
180°-100°= 80° (angle 1)
180°-150°= 30° (angle 2)

180°-80°-30°= angle 3
angle 3 = 70°

∴ the interior angles are 80°, 30° and 70°
8 0
3 years ago
Read 2 more answers
Help please!!!!! (QUESTION #3)!!!!!!!
Paha777 [63]
I’m not sure I’m just guessing but maybe 7x minus 35
7 0
3 years ago
Previ
denpristay [2]

The length of the line segment with endpoints at (0, 3) and  (-6, -5) is 10 units

<h3>What is an equation?</h3>

An equation shows the relationship between two or more numbers and variables.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is:

AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

The line segment have endpoints at (0, 3) and  (-6, -5). Hence:

Length = √[(-5-3)² + (-6 - 0)²] = √(8² + 6²) = √100 = 10

The length of the line segment is 10 units

Find out more on equation at: brainly.com/question/2972832

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6 0
1 year ago
Canadians who visit the United States often buy liquor and cigarettes, which are much cheaper in the United States. However, the
victus00 [196]

Answer:

Probability of bringing a bottle of liquor into the country that is, the probability of bringing 1 bottle liquor into the country = P(B) = 0.31

The probability of not bringing a bottle of liquor into the country, that is, the probability of bringing 0 bottle liquor into the country = P(B') = 0.69

Probability distribution of bottle liquor

Let X represent the random variable of the number of bottle liquor brought into the country by a person

X | P(X)

0 | 0.69

1 | 0.31

Step-by-step explanation:

The joint probability distribution for the number of bottles of liquor and the number of cartons of cigarettes imported by Canadians who have visited the United States for 2 or more days is given in the question as

V | B

C | 0 | 1

0 | 0.62 | 0.16

1 | 0.07 | 0.15

Note that B = bottle liquor

C = Carton cigarettes

V is each variable

Let the probability of bringing a bottle of liquor into the country be P(B), that is, the probability of bringing 1 bottle liquor into the country.

The probability of not bringing a bottle of liquor into the country is P(B'), that is, the probability of bringing 0 bottle liquor into the country.

Let the probability of bringing a carton of cigarettes into the country be P(C), that is, the probability of bringing 1 carton cigarettes into the country.

The probability of not bringing a carton of cigarettes into the country is P(C'), that is, the probability of bringing 0 carton cigarettes into the country.

From the joint probability table, we can tell that

P(B n C) = 0.15

P(B n C') = 0.16

P(B' n C) = 0.07

P(B' n C') = 0.62

Find the marginal probability distribution of the number of bottles imported.

Probability of bringing a bottle of liquor into the country that is, the probability of bringing 1 bottle liquor into the country = P(B)

P(B) = P(B n C) + P(B n C') = 0.15 + 0.16 = 0.31

The probability of not bringing a bottle of liquor into the country, that is, the probability of bringing 0 bottle liquor into the country = P(B')

P(B') = P(B' n C) + P(B' n C') = 0.07 + 0.62 = 0.69

Probability distribution of bottle liquor

Let X represent the random variable of the number of bottle liquor brought into the country by a person

X | P(X)

0 | 0.69

1 | 0.31

Hope this Helps!!!

8 0
3 years ago
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