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3 years ago

Need help plz Compare using <, >, or =.

Mathematics

1 answer:

jek_recluse [69]3 years ago

3 0

Meanings of inequalities :

< less than
> more than
= equal

convert both fractions to their common denominators , which is 40.

7/2/5 = 7/16/40
7/3/8 = 7/15/40

as you can see, 7/2/5 is bigger. thus the answer is > .

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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

Birth Weights Babies born after a gestation period of 32-35 weeks have a mean weight of 2600 grams and a standard deviation of 6

lukranit [14]

Answer:

The z-score for the 34-week gestation period baby is 0.61

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

We are told in the question that:

Babies born after a gestation period of 32-35 weeks have a mean weight of 2600 grams and a standard deviation of 660 grams. Also, we are supposing a 34-week gestation period baby weighs 3000grams

The z-score for the 34-week gestation period baby is calculated as:

z = (x-μ)/σ

x = 3000, μ = 2600 σ = 660

z = 3000 - 2600/660

= 400/660

=0.6060606061

Approximately, ≈ 0.61

6 0

3 years ago

Three times a number n plus 16

HACTEHA [7]

Answer:

3n+16

Step-by-step explanation:

three times: (3) a number n +16

(3)n+16 or 3xn+16

3n+16

4 0

3 years ago

What is the slope of the line passing through the points (0, −5) and (4, 2)?

liraira [26]

$(0,-5) \\
x_1=0 \\ y_1=-5 \\ \\
(4,2) \\
x_2=4 \\ y_2=2 \\ \\
\hbox{the slope } = \frac{y_2-y_1}{x_2-x_1}=\frac{2-(-5)}{4-0}=\frac{2+5}{4}=\frac{7}{4}$

The slope is 7/4.

8 0

3 years ago

Read 2 more answers

cheryl drove 935 mile cansas city to austin and then shr drove 832 mile from austin to forth worth actual mile did cherly drive?

bulgar [2K]

I added 935 +832 and got 1,767

5 0

3 years ago