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MAXImum [283]
2 years ago
12

Solve for x pls: Options: a) -11 b) 80 c) 51 d) -14

Mathematics
2 answers:
myrzilka [38]2 years ago
4 0

Answer:

x = -11

Step-by-step explanation:

Let the Triangle be named 'ABC'

In Triangle ABC,

∠A = x + 51

∠B = 80               (Intersecting lines, Vertically opposite Angles)

∠C = 60               (Intersecting lines, Vertically opposite Angles)

∠A + ∠B + ∠C = 180  (Sum of angles of Triangle = 180)

x + 51 + 80 + 60 = 180

=> x + 191 = 180

=> x = 180 - 191

=> x = -11

Oduvanchick [21]2 years ago
4 0

Answer:

-11

Step-by-step explanation:

Sum of all angles of triangle = 180

x + 51 + 80 + 60 = 180

x + 191 = 180

x = 180 -191

x = -11

Hint : VOA - Vertically opposite angles are congruent

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6 0
2 years ago
Read 2 more answers
Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul
IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: P(k) = \frac{\lambda^ke^{-k}}{k!} where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and \lambda = 7 into the formula:

P(k=7) = \frac{7^7e^{-7}}{7!}

P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

P(k\leq2) = P(k=0)+P(k=1)+P(k=2)

P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}

P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}

P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%

4 0
2 years ago
If area of a circle is 49/64 pie cm square,then find the circumference of the circle?​
tresset_1 [31]

Answer:

7/4 * pi

Step-by-step explanation:

Area of circle = pi * r^2

Find radius:

pi * 49/64 = pi * r^2

49/64 = r^2

7/8= r

Circumference of circle = 2pi * r

2 * pi * (7/8) = 7/4 * pi

Assuming that the answer is in terms of pi as the question is in terms of pi

8 0
1 year ago
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Carol bought 24 stamps for $6, and Charles paid $13 for 52 stamps. If the amount paid for the stamps is proportional to the numb
Vera_Pavlovna [14]

Answer:

Yes

Step-by-step explanation:

$24 divided by 6 equals 4

$52 divided by 13 equals 4

4 0
2 years ago
Read 2 more answers
Rewrite 48 + 60 using the distributive property
Flauer [41]

Answer:

12* ( 4+5)

Step-by-step explanation:

48 = 12 * 4

60 = 12 * 5

48 + 60 = 12*4 + 12*5

             = 12*( 4 + 5)

            = 12* 9

            = 108

3 0
2 years ago
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