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3 years ago

How do you solve this 13c<-169

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

8 0

Answer:

C<-13

Step-by-step explanation:

Just divide both sides by 13.

13c < -169

C<-13

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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

2 years ago

Enter the next 3 terms from the geometric sequence below.

Harlamova29_29 [7]

Answer:

-24, 48, -96

Step-by-step explanation:

The number before multiplies by -2.

3*-2=-6

and so on.

Hope this helps. Have a nice day.

6 0

2 years ago

Read 2 more answers

Your drawer contains 10 red socks and 7 blue socks. It's to dark to see which are which,but you grab two anyway.What is the prob

den301095 [7]

P(both red)=(10/17)(9/16)
P(both blue)=(7/17)(6/16)

P(both same)= sum of above 2 = (90+42)/(16*17)=132/(16*17)=0.485

coz both same means both blue or both red

4 0

3 years ago

Read 2 more answers

Please help. Screenshot attachedn

NARA [144]

Answer:

x = -0.17 and x = -5.83

Step-by-step explanation:

We are asked to solve the quadratic equation

$x^2+6\,x+1=0$

We use the quadratic formula using a = 1, b = 6 and c = 1

for a general quadratic equation of the form: $ax^2+bx+c=0$

Then, the solutions are given by;

$x=\frac{-6+/-\sqrt{36-4\,(1)\,(1)} }{2} =\frac{-6+/-\sqrt{32} }{2}$

which produces the two following answers (rounded to two decimals):

x = -0.17 and x = -5.83

8 0

3 years ago

Anybody? need help asap

VladimirAG [237]

Answer:

K=2h

k=0.5h

k=h + 1

k= 0.5h + 10

7 0

2 years ago