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4 years ago

Which statements about about the diagram are true? Check all that apply .

Mathematics

2 answers:

jeka57 [31]4 years ago

7 0

Answer:

Options A, C and E are true.

Step-by-step explanation:

A. x = 63° [Alternate angles]

Therefore this option is true.

B. In the triangle formed at the center opposite angle of 63° will be same as 63°. Measure of second angle is 47°.

Therefore y = 180 - (63 + 47) = 180 - 120 = 60°

Therefore option B. is incorrect.

C. ∠ Z + 63 = 180 [ supplementary angles]

∠ Z = 180 - 63 = 117°

This option is true.

D. Since ∠ Y = 60° and ∠ Z = 117°

Therefore ∠ Y + ∠ Z = 60 + 117 = 177°

This option is not correct.

E. Since ∠ x = 63° and ∠ Z = 117°

Therefore ∠ x + ∠ z = 63 + 117 = 180°

So the option is true.

maksim [4K]4 years ago

5 0

Answer:

x = 63

z = 117

x + z = 180

Step-by-step explanation:

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Suppose that the probability a seed will germinate is 85%. What is the probability that 7 of these seeds will germinate when 10

Neporo4naja [7]

Answer: The probability that 7 of these seeds will germinate when 10 are planted is 0.1298 .

Step-by-step explanation:

Let x be the number of seeds germinate .

Since each seed is independent from other , so we can use binomial over here.

Binomial probability formula : $P(X=x)=^nC_xp^x(1-p)^{n-x}$ , where n= total trails and p is the probability of each success.

As per given : p= 0.85 , n= 10

Then, the probability that 7 of these seeds will germinate when 10 are planted will be :-

$P(X=7)=^{10}C_7(0.85)^7(1-0.85)^3\\\\=\dfrac{10!}{7!3!}(0.85)^7(0.15)^3\\\\=0.129833720754\approx0.1298$

Hence, the probability that 7 of these seeds will germinate when 10 are planted is 0.1298 .

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3 years ago

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agasfer [191]

Answer:

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3 years ago

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vredina [299]

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