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3 years ago

8≤r-14z+4≥2zhelp me plz

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

The answer for the first one is
$22 \leqslant r$
You have to add both sides by 14 and you will get my answer.

I'm sorry I don't know the answer for the second one.

Hope this helps though!

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The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. Su

katrin [286]

Answer:

3.566%

Step-by-step explanation:

The probability formula for a poisson distribution is:

$P( k )=\frac{\lambda^{k}e^{-\lambda}}{k!} \\$

λ is the average of events

e is the euler's number

k is the number of events you want to know the probability

For this :

λ = 8.9 (on average the number of tickets is 8.9 per day)

k = 4 (you need to find the probability that exactly 4 tickets are written per day)

$P( k=4 )=\frac{8.9^{4}e^{-8.9}}{4!}=0,03566 =3.566\%$

6 0

3 years ago

THe equation of the graph line is 2x-3y=12 what is the x-intercept of the graph

katrin2010 [14]

2x-3y=12

Make y substitute 0

2x-3(0)=12

2x= 12

X= 12-2

X= 10

X-intercept is 10

5 0

2 years ago

The heights of two similar cylinders are 3cm and 4cm respectively. The total area of the bigger cylinder is 400cm².Calculate the

shusha [124]

Answer:

Step-by-step explanation:

Total surface area = 2πr(r+h)

If the total area of the bigger cylinder is 400cm² and radius is 4cm, then;

400=2(3.14)(r)(r+4)

400= 6.26r(r+4)

400=100.48 + 25.12h

299.52 = 25.12h

H = 299.52/25.12

H = 11.92cm

For the smaller cylinder

The height is calculated as;

H/h = R/r

11/92/

8 0

2 years ago

You have a garden in your backyard that measures 15 meters by 20 meters. You want to place stepping stones around the perimeter

Anettt [7]

Answer:

0.5 m

Step-by-step explanation:

Given that the dimensions of the garden are 15 meters by 20 meters.

The area of the new garden (original garden + stone placed around the perimeter) is 336m².

Let d be the width of the border having stepping stones as shown in the figure. The shaded region in the figure is the area having stepping stones.

The area including the shaded region $= (15+2d)(20+2d) m^2$

$\Rightarrow 336 = (15+2d)(20+2d) \\\\\Rightarrow 336 = 300+ 70 d +4d^2 \\\\\Rightarrow 4d^2 +70d+300-336=0 \\\\\Rightarrow 4d^2 +70d-36=0 \\\\\Rightarrow 2d^2 +35d-18=0 \\\\\Rightarrow 2d^2 +36d-d-18=0 \\\\\Rightarrow (2d-1)(d+18)=0 \\\\\Rightarrow (2d-1)=0, \; or \; (d+18) \\\\\Rightarrow d= 0.5\;or -18 \\\\$

As the width of the stone border can't be a negative value, so taking the positive value.

Hence, the width of the stone border is 0.5 m.

So, the wi

7 0

3 years ago

Please help ! I’ll give brainliest!

mrs_skeptik [129]

I believe it is 16 since if you do 21-5 it is 16 :)

5 0

2 years ago