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3 years ago

Which of the following statements are always true? Select all that apply

Mathematics

1 answer:

Zigmanuir [339]3 years ago

8 0

1. sometimes not always
2. no
3. yes always
4. sometimes not always
5. no

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

$P(x)=\frac{e^{-at}*(at)^{x} }{x!}$

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

3 0

3 years ago

Dawn is ordering 1 veggie sandwich for every 3 ham sandwiches. She needs 12 sandwiches in all. Veggie sandwiches cost 4.00 dolla

NISA [10]

Answer:

$52.50

Step-by-step explanation:

Lets use V for Veggie, and H for Ham.

V=4

H=4.50

She is getting 12 sandwiches, and Every 3 H, she buys one V.

So, the order of her buying the sandwiches would be:

H H H V H H H V H H H V

9 H and 3 V

9*H=40.5

3*V=12

40.5+12= $52.50

5 0

3 years ago

How many different four-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6 if no digit can be used more than once?

Allushta [10]

This is 6P4
the number of permutations of 4 from 6. 6! / 2!

= 6*5*4*3* 2 / 2 = 360

4 0

3 years ago

The equation 3x+4=5x-4 has the solution set {4}. explain why the equation (3x+4)+4=5x-4)+4 also has the solution set {4}

cestrela7 [59]

Notice that the terms in parentheses on both sides of the equation are added to 4.

(3x + 4) + 4 = (5x - 4) + 4

So we can set the equation as.

3x + 4 = 5x - 4

Subtract 3x on both sides of equation.

4 = 2x - 4

Add 4 on both sides of equation.

8 = 2x

Divide both sides of equation by 2.

4 = x

4 is the only value that satisfies the statement.

5 0

3 years ago

A book store is hosting a special night in which families can enjoy a story and craft time. Tickets to the

Arturiano [62]

Answer:

75 total tickets

Step-by-step explanation:

METHOD 1:

We know that 45 children's tickets have been sold, being 60% of the total tickets having been sold.

So, basically, we solve for x:

We have, 60% × x = 45

or, 60/100 × x = 45

Multiplying both sides by 100 and dividing both sides by 60,

we have x = 45 × 100/60

x = 75

If using calculator, enter 45x100/60, which will give you the answer.

------------------------

METHOD 2:

Division is the opposite of multiplication

Start with the formula to calculate the percentage of total

y=value÷ percentage/100

Substitute values in the equation

y=45÷60/100

Simplify and solve

y=45÷0.6

y=75

Both methods give you 75, therefore 75 tickets have been sold

7 0

2 years ago

Read 2 more answers