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3 years ago

NEED THE ANSWER PLEASE

Mathematics

1 answer:

Alexus [3.1K]3 years ago

5 0

Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m $\widehat{AG}$ = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m $\widehat{ABE}$ = 48°

∴ m $\widehat{ABE}$ = 2 × 48° = 96°

m∠AEF = (1/2) × m $\widehat{AGE}$

m $\widehat{ABE}$ + m $\widehat{AGE}$ = 360° (angle round a circle)

∴ m $\widehat{AGE}$ = 360° - m $\widehat{ABE}$ = 360° - 96° = 264°

m $\widehat{AGE}$ = m $\widehat{AG}$ + m $\widehat{EG}$

∴ m $\widehat{EG}$ = m $\widehat{AGE}$ - m $\widehat{AG}$ = 264° - 175° = 89°

m $\widehat{EG}$ = 89°.

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For blank 1:
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For blank 2:
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4 0

3 years ago

Read 2 more answers

The probability that a lab specimen contains high levels of contamination is 0.10. A group of 4 independent samples are checked.

galben [10]

Answer:

a) 0.6561

b) 0.2916

c) 0.3439

Step-by-step explanation:

We are given the following information:

Let us treat high level of contamination as our success.

p = P(High level of contamination) = P(success) = 0.10

n = 4

The, by binomial distribution:

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}\\\text{where x is the number of success}$

a) P(No high level of contamination)

We put x = 0, in the formula.

$P(X=0) = \binom{4}{0}.(0.10)^0.(1-0.10)^{4} =0.6561$

Probability that no lab specimen contain high level of contamination is 0.6561

b) P(Exactly one high level of contamination)

We put x = 1, in the formula.

$P(X=1) = \binom{4}{1}.(0.10)^1.(1-0.10)^{3} =0.2916$

Probability that no lab specimen contain high level of contamination is 0.6561

c) P(At least one contains high level of contamination)

$p(x \geq 1) = 1 - p( x = 0) = 1 - 0.6561 = 0.3439$

Probability that at least 1 lab specimen contain high level of contamination is 0.3439

8 0

3 years ago

What is the area of this??? i put it at 14 points!

Basile [38]

Answer:

99in squared

Step-by-step explanation:

Bottom square is 3 by 3, middle is 9 by 6, and trapezoid is 9 by 4.

3*3+9*6+9*4 is 99

Hope this helps plz mark brainliest if correct :D

3 0

3 years ago

Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.