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Zolol [24]
3 years ago
14

What is the area of the lawn in sqaure meters

Mathematics
1 answer:
Scrat [10]3 years ago
6 0

Answer:

60 m

Step-by-step explanation:

Trapezoid area formula:

A=\frac{a+b}{2} h\\\\A=\frac{18+12}{2} 4\\\\\frac{30}{2} *4\\\\15*4\\60

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If y has moment-generating function m(t) = e 6(e t −1) , what is p(|y − µ| ≤ 2σ)?
Lostsunrise [7]
Since \mathrm M_Y(t)=e^{6(e^t-1}, we know that Y follows a Poisson distribution with parameter \lambda=6.

Now assuming \mu,\sigma denote the mean and standard deviation of Y, respectively, then we know right away that \mu=6 and \sigma=\sqrt6.

So,

\mathbb P(|Y-\mu|\le2\sigma)=\mathbb P(6-2\sqrt6\le Y\le6+2\sqrt6)=\dfrac{66366}{175e^6}\approx0.940028
6 0
4 years ago
Triangles G H L and K H J are connected at point H. Angles Angles L G H and H K J are congruent. Sides G H and H K are congruent
stira [4]

The congruence theorem that can be used is: B. ASA

<h3>What is the ASA Congruence Theorem?</h3>

If we have two triangles that have two pairs of corresponding congruent angles (e.g. ∠LGH ≅ ∠HKJ and ∠LHG ≅ ∠KHJ), and a pair of corresponding congruent sides (e.g. GH ≅ HK), the triangles are said to be congruent triangles by the ASA congruence theorem.

Therefore, triangles GHL and KHL in the image given are congruent triangles by the  ASA congruence theorem.

Learn more about the ASA congruence theorem on:

brainly.com/question/2398724

#SPJ1

3 0
2 years ago
The amount spent on heating depends on the average temperature
anastassius [24]

That's D.


A(t) is the amount as a function of the temperature t.



7 0
3 years ago
Read 2 more answers
A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250
snow_tiger [21]

Answer:

<em>The salesperson needs to sell 10 stereos to make the same money on both plans</em>

Step-by-step explanation:

We'll analyze both choices for the compensation plans of a salesperson.

One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:

P1=250+25x

Where x is the number of stereos sold.

The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:

P2=50x

To find the equilibrium point for both plans, we make P1=P2:

250+25x=50x

Simplifying:

25x=250

Solving:

x = 250 / 25 = 10

The salesperson needs to sell 10 stereos to make the same money on both plans

4 0
3 years ago
Three distributions, labeled (a), (b), and (c), are represented below by their histograms. Each distribution is symmetrical and
Neporo4naja [7]

Answer:

order is

αb<αc<αa

Step-by-step explanation:

in a )

number 4 and number  12 are showing 3 bullets while number 7 and 9 showing 2 bullets hence

standard deviation for a=3-2=1

in b)

number 4 ,7,9 and number  12 are showing 2 bullets while number 3 and 13 showing 1 bullet hence

standard deviation for a=2-1=1

in c)

number 4 ,7,9 and number  12 are showing 2 bullets while number 5 and 11 showing 1 bullet hence

standard deviation for a=2-1=1

order isαb<αc<αa


6 0
3 years ago
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