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Harrizon [31]
2 years ago
11

Mr.Jones is building a patio outside of his back door.The patio will be 8.5 ft long and 10.7 ft wide.What is the area of the pat

io that Mr.Jones is building?
Mathematics
2 answers:
alexira [117]2 years ago
5 0

Answer:

90.95

Step-by-step explanation:

Vesnalui [34]2 years ago
3 0
38.4 is the area. it’s 8.5 ft long so you do 8.5x2 and you get 17, and then for 10.7 you do 10.7x2 and get 21.4, then you add 21.4 and 17 together.
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last week the game system was $450. This week the system is on sale for $337.50. By what percent is the price reduced?
zheka24 [161]
25% reduced
you take 337.50 divide by 450 which gives you .75
so you take 100% minus 75% and you get 25%

you can check the work by taking 450 time .25 which gives you 112.5 . and subtract that from 450 you'll end up with 337.50
8 0
3 years ago
Use the linear combination method to solve this system of equations. What is the value of x? -2.4 x - 3.6 y = 1.2. 2.4 x + 1.2 y
Gennadij [26K]

Answer:

this is the graph and answer :D

Step-by-step explanation:

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3 years ago
If the median were to be calculated at 82.5 degrees, then would the feasible mean be 81.6?
dmitriy555 [2]
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3 years ago
Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}

=56(0.4)^5 (0.6)^3

=0.12386304

(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8

=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

8 0
3 years ago
Solve for theta <br> Please answer both parts
Vika [28.1K]

Answer:

Step-by-step explanation:

a)  tanθ = x/3

θ = arctan(x/3)

:::::

b)  cosθ = 9/x

θ = arccos(9/x)

4 0
3 years ago
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