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kolbaska11 [484]
3 years ago
10

A cyclist travels 2 miles in 10 minutes and then a further 7 miles in 20 minutes without stopping.

Mathematics
1 answer:
Tresset [83]3 years ago
6 0

18 mile per hour

Step-by-step explanation:

average speed = total distance covered by total time taken

so, avg. speed = ( 2+ 7 ) / ( 20 + 10 )

= 9 / 30

= 3 / 10

= 0.3 miles per minute

= 18 mile per hour

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Answers: Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
MArishka [77]

Answer: Median for both Bakery A and B

Step-by-step explanation:

Because none of the data is symmetric

8 0
3 years ago
Please help!
Mrrafil [7]

Answer:

\sf C. \quad \dfrac{1}{9}

Step-by-step explanation:

<u>Addition Law for Probability</u>

\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)

Given:

  \sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}

  \sf P(B)=\dfrac{2}{9}

  \sf P(A \cup B)=\dfrac{4}{9}

Substitute the given values into the formula and solve for P(A ∩ B):

\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)

\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)

\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}

\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}

\implies \sf P(A \cap B) = \sf \dfrac{1}{9}

4 0
2 years ago
Read 2 more answers
PLEASE ANSWER QUICKLY<br> (I will give first answer Brainliest)
Zina [86]

Answer:

The measure of Angle A is 45.5 degrees

Step-by-step explanation:

In order to find the measure of the angle A, add it to the measures of angle B and C. Since it is an isosceles triangle, we know that B and C have the same measure. Then we set this equal to 180.

A + B + C = 180

2x + 4 + 3x + 5 + 3x + 5 = 180

8x + 14 = 180

8x = 166

x = 20.75

Now we can find the measure of Angle A by putting the value of x in for x.

2x + 4 = A

2(20.75) + 4 = A

41.5 + 4 = A

45.5 = A

3 0
3 years ago
The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

f(x) = \lambda e^{-\lambda x} ; x > 0

Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean =  \frac{1}{\lambda}  

So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    P(X\leq x) = 1 - e^{-\lambda x}  ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  1 - e^{-\frac{1}{22} \times 30}

                         =  1 - 0.2557

                         =  0.7443

7 0
4 years ago
3
viktelen [127]

Answer:

altemate interior angles

7 0
3 years ago
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