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garik1379 [7]
2 years ago
11

Between which two consecutive numbers does the root of 90 lie

Mathematics
1 answer:
dezoksy [38]2 years ago
4 0

Answer:

9 < \sqrt{90} < 10

Step-by-step explanation:

Since 9^2=81 < 90 and 10^2=100 > 90, then 9 < \sqrt{90} < 10

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Express in simplest form:<br><br><br> -1(-x+6x + 1)-3<br> – 3x
Nana76 [90]

Answer:

-5x - 4

<u><em>Hope this helps!!! :)</em></u>

4 0
3 years ago
Read 2 more answers
Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturd
mestny [16]

Answer:

1) P(X = 8) = 0.1033

P(X = 9) = 0.0688

2) Expected number of 200 restaurants in which exactly 8 customers use the drive-through: 20.66

Expected number of 200 restaurants in which exactly 9 customers use the drive-through: 13.76

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Question 1. Use the Poisson distribution to calculate the probability that exactly 8 cars will use the drive-through between 12:00 midnight and 12:30 AM on a Saturday night at Wendy's. Do the same for exactly 9 cars.

Cars arrive at the Wendy's drive-through at a rate of 1 car every 5 minutes between the hours of 11:00 PM and 1:00 AM. on Saturday nights. This means that during 30 minutes, 6 cars expected to arrive. So \mu = 6.

P(X = 8)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 8) = \frac{e^{-6}*(6)^{8}}{(8)!} = 0.1033

P(X = 9)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 9) = \frac{e^{-6}*(6)^{9}}{(9)!} = 0.0688

Question 2. At how many of the 200 restaurants in the survey would you expect exactly 8 customers to use the drive-through? exactly 9 customers?

There is a 10.33 probability that 8 customers would use the drive through for each restaurant.

So of 200, the expected number is

E(X) = 200*0.1033 = 20.66

There is a 6.88 probability that 9 customers would use the drive through for each restaurant.

So of 200, the expected number is

E(X) = 200*0.0688 = 13.76

8 0
3 years ago
Find the area of a polygon with vertices at (1, 3), (7, 3), (7, 7), and (4, 7). a. 24 units2 b. 10 units2 c. 12 units2 d. 18 uni
maria [59]

Answer:

Option D

Step-by-step explanation:

Vertices of the polygon are A(1, 3), B(7, 3), C(7, 7), D(4, 7)

Measure of AB = 7 - 1 = 6 units

Measure of BC = 7 - 3 = 4 units

Measure of CD = 7 - 4 = 3 units

From the figure attached,

Area of the trapezoid = \frac{1}{2}(AB+CD)(BC) [Here, AB and CD are the parallel bases and BC is the height of the trapezoid]

                                    = \frac{1}{2}(6+3)(4)

                                    = 18 square units

Therefore, Option D will be the correct option.

4 0
3 years ago
Which expression represents the sum of ( 2x-5y) and (x+y)?
nekit [7.7K]
Sum of ( 2x-5y) and (x+y)?
=2x-5y+x+y
=3x-4y
6 0
4 years ago
All in image, please help asap
vfiekz [6]

The angle that is same side exterior angle to ∠ABC is ∠EFH.

<h3>How to find angles?</h3>

When parallel line are cut by a transversal line, angle relationships are formed such as corresponding angles, vertically opposite angles, alternate angles, same interior angles, etc.

AD and EG are parallel to each other.

CH is a transversal line to the parallel lines.

Therefore, let's find the angle that has the same relationship as same side exterior angles as angle ABC.

Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles.

Same side exterior angles are supplementary.

Therefore,

∠ABC and ∠EFH are same side exterior angles.

learn more on angles here: brainly.com/question/24755745

#SPJ1

4 0
1 year ago
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