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inysia [295]
2 years ago
12

I really need help plzzzzz​

Mathematics
1 answer:
Marianna [84]2 years ago
6 0

Answer:

  • All similar, see below

Step-by-step explanation:

Q1

<u>Angles</u>

  • 26° & 64° & 90°
  • AA similarity

Q2

<u>Ratios of corresponding sides:</u>

  • 6/8 = 9/12 = 12/16 ⇒ 3/4
  • SSS similarity

Q3

<u>Angle C is vertical</u>

  • ∠ACB ≅ ∠DCE

<u>Ratios of corresponding sides:</u>

  • 9/15 = 18/30 ⇒ 3/5
  • SAS similarity
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60° is the value of y....

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The probability of making the first shot is 3/4 .

The probability of making the second shot is 3/4 .

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Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.
Artist 52 [7]
<span>                                                            Honor roll Not on honor roll Total
Received math class requested        315               64                   379
Did not get math class requested        41               80                   121
Total                                                        356             144                   500 

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Honor roll students were given preference in granting request than those not in the honor roll.</span>
5 0
3 years ago
9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
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Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height  = 174.5 cm

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n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976

Hence, a) (176.76,172.24), b) 0.976.

8 0
3 years ago
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