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3 years ago

Can you please help with rate please help filling in the missing box

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

4 0

Hmm
rate=change in price/change in number of books

see left one
notebooks,money
6,1.8
12,3.6
change in money/change iin notebooks=(3.6-1.8)/(12-6)=1.8/6=0.3
rate is 0.3 for left one
rate is 30 cetns per notebook

right one
number of books,price
3,1.05
6,2.1
change in money/change in notebooks=(2.1-1.05)/(6-3)=1.05/3=0.35
price is 35 cents per
12*35=420 cents=$4.20

the blank on bottom right is $4.20
the rate on the left is $0.30 per notebook
the rate on the right is $0.35 per notebooks
left one is the better deal

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Simplify the following expression.( Fraction form) 7-5/6 * 7-7/6

Ipatiy [6.2K]

Answer:

1295/36

Step-by-step explanation:

the statement tell us:

(7-(5/6))*(7-(7/6))

we have:

(7-(5/6))=((6*7)-5)/6=(42-5)/6=37/6

and we have:

(7-(7/6))=((6*7)-7)/6=(42-7)/6=35/6

we need multiply both terms:

(37/6)*(35/6)=(37*35)/(6*6)

finally we have

1295/36

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3 years ago

The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou

Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as $\sigma^2 = mean = 6.2$

hence, standard deviation is given as $\sqrt{6.2} = 2.48998$

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is

$P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)$

$= \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}$

= 0.002029 + 0.012582+ 0.039006

= 0.053617

= 0.0536

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2 years ago

What is 18 X 19 i cants figure it out

Fantom [35]

Answer:

342

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

M∠1 = 80 – x; and

Burka [1]

Answer:

$10$

Step-by-step explanation:

m∠2 and m∠1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:

[80 - x]° = [90 - 2x]°

+ x° + x°

______________

80° = [90 - x]°

-90° - 90°

__________

−10° = [−x]°

$10° = x$

I am joyous to assist you anytime.

6 0

3 years ago

Flying with the wind, a small plane flew 404 mi in 2 h. Flying against the wind, the plane could fly only 386 mi in the same amo

Alika [10]

Answer: rate of the plane is 197.5 mph

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Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

Flying with the wind, a small plane flew 404 mi in 2 h. This means that the total speed with which the plane flew is (x + y) mph.

Distance = speed × time

Distance travelled by the plane while flying with the wind is

404 = 2(x + y)

Dividing both sides of the equation by 2, it becomes

202 = x + y- - - - - - - - - - - 1

Flying against the wind, the plane could fly only 386 mi in the same amount of time. This means that the total speed at which the plane flew is (x - y) mph.

Distance = speed × time

Distance travelled by the plane while flying against the wind is

386 = 2(x - y)

Dividing both sides of the equation by 2, it becomes

193 = x - y- - - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

395 = 2x

x = 395/2

x = 197.5

Substituting x = 197.5 into equation 1, it becomes

202 = 197.5 + y

y = 202 - 197.5

y = 4.5

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3 years ago