The segments shown below could form a triangle.<br><br> A. True<br> B. False

Tap A fills 10/11 of a bottle in a minute. Tap B fills 3 4/5 times as many bottles as Tap A in a minute. Find the number of bott

Lunna [17]

Answer:

Tap B fills 4/5 in a minute.

Step-by-step explanation:

3 4/5-10/11

14/5-10/11=4/5

5 0

3 years ago

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Two cars traveling toward each other are 250 miles apart. Car a is traveling 15 miles per hour faster than car

Anon25 [30]

Let car b be travelling at x mph. as they are travelling towards each other their speed of approach is (x + x + 15 ) mph. So we have the equation

speed = distance / time

2x + 15 = 250 / 2

2x = 125 - 15 = 110

x = 55 mph

Car b travels at 55 mph and car a travels at 70 mph Answer

3 0

3 years ago

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

3 years ago

What is the equation of the line which

natka813 [3]

Answer:

The equation of the line is y = (-1/2)x + 5

Step-by-step explanation:

$m = \frac{y2 - y1}{x2 - x1 }$

First of all, have to find gradient using the formula above :

(2,4) & (14,-2)

m = (-2-4) / (14-2)

= -6 / 12

= -1/2

Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :

y = mx + b

Let y=4 & x=2

4 = (-1/2)(2) + b

b = 4 + 1

= 5

Lastly, put the value of gradient and y-intercept into the equation :

y = mx + b

Let m=-1/2 & b=5

y = (-1/2)x + 5

5 0

3 years ago

Which line most accurately represents the line of best fit for the scatter plot?

Naddika [18.5K]

So think about it this way, Which line is most associated with the dots?

5 0

4 years ago

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The segments shown below could form a triangle. A. True B. False