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2 years ago

What's the verbal expression for the algebraic expression 1/8y .?

Mathematics

1 answer:

OLEGan [10]2 years ago

5 0

Given expression is $\frac{1}{8}y$

So we can write it in verbal expression as one eight of a number.

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A police car's siren operates at a frequency of 2,000 Hz. What frequency would a stationary listener observe if the police car i

SpyIntel [72]

we can use formula

$f_L=f_s(\frac{v_a-v_p}{v_a+v_p} )$

where

fL is listener frequency

fs is siren frequency

va is the speed of sound in air

vs is police car speed

so, we have

$f_s=2000Hz$

$v_a=345m/s$

$v_p=65mph$

now, we can change it into m/s

$v_p=65*\frac{1609}{3600}m/s$

$v_p=29.05139m/s$

now, we can plug it

$f_L=2000(\frac{345-29.05139}{345+29.05139} )$

$f_L=1689.33263Hz$ ..............Answer

3 0

2 years ago

Jim lost 4 lbs each week for 10 weeks. Express his total weight change as an integer.

yKpoI14uk [10]

Answer:

4:10

Step-by-step explanation

7 0

2 years ago

Read 2 more answers

HDTV screens usually have a width-to -height ratio of 16:9. Which screen dimensions are in the same proportion?

love history [14]

Answer:

4 feet by 3 feet

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

width-to -height ratio of 16:9

Let analyse all possible answers:

4 feet by 3 feet

16 divided by 4 is the same as 9 divided by 3 => it is true

28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

48 centimeters by 27 centimeters

16 divided by 48 is different as 9 divided by 27 => it is wrong

26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

We choose A.

Hope it will find you well.

7 0

2 years ago

6.8 Use the Normal approximation. Suppose we toss a fair coin 100 times. Use the Normal approximation to find the probability th

Maru [420]

Answer:

(a) The probability that proportion of heads is between 0.30 and 0.70 is 1.

(b) The probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

Step-by-step explanation:

Let X = number of heads.

The probability that a head occurs in a toss of a coin is, p = 0.50.

The coin was tossed n = 100 times.

A random toss's result is independent of the other tosses.

The random variable X follows a Binomial distribution with parameters n = 100 and p = 0.50.

But the sample selected is too large and the probability of success is 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of $\hat p$  (sample proportion of X) if the following conditions are satisfied:

np ≥ 10
n(1 - p) ≥ 10

Check the conditions as follows:

$np=100\times 0.50=50>10\\n(1-p)=100\times (1-0.50)=50>10$

Thus, a Normal approximation to binomial can be applied.

So, $\hat p\sim N(p,\ \frac{p(1-p)}{n})$

$\mu_{p}=p=0.50\\\sigma_{p}=\sqrt{\frac{p(1-p)}{n}}=0.05$

(a)

Compute the probability that proportion of heads is between 0.30 and 0.70 as follows:

$P(0.30$

$=P(-4$

Thus, the probability that proportion of heads is between 0.30 and 0.70 is 1.

(b)

Compute the probability that proportion of heads is between 0.40 and 0.65 as follows:

$P(0.40$

$=P(-2$

Thus, the probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

6 0

2 years ago

If one worker can assemble 9 products per hour, and another worker can assemble 6 products per hour, how long will it take them

leva [86]

Answer:

3 hours 20 minutes

Step-by-step explanation:

Together, the workers can assemble 9 + 6 = 15 products per hour. So the assembly of 50 products will take ...

(50 products)/(15 products/hour) = 50/15 hours = 3 1/3 hours

The two workers can assemble 50 products in 3 1/3 hours.

3 0

2 years ago