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zepelin [54]
3 years ago
9

6. Can an isosceles triangle be an obtuse triangle? Explain.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

Answer:

No. It can be obtuse angle are angles greater than 90° but less than 180°

And for an isosceles triangle, two angles must be equal so if two angles are greater than 90° that mean the sum of angle in a triangle is above 180° which is not possible

Step-by-step explanation:

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5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a
SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

  • the defective probability is constant and independent.
  • the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

  • Sample size (amount of clips in the package): n=20
  • Probability of defective clips: p=0.01.
  • number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169

6 0
4 years ago
Hello! :)
Free_Kalibri [48]

Answer:okay I’m pretty smart it is c the answer  is 4:)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
the profits from eds plumbing company increased by 14,460, or 30% this year. what profit did the company esrn last year?​
mart [117]
The company earned a profit of $48,200 last year.

~ hope this helps!
3 0
3 years ago
What’s the LCM and GCF of 14 and 22
lozanna [386]
LCM of 14 and 22 is 154, and the GCF is 2
6 0
4 years ago
Read 2 more answers
What would be the equation of the midline of this graph?
andrey2020 [161]

Answer:

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

5 0
3 years ago
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