WILL GIVE BRAINLIEST

Mathematics

1 answer:

Katena32 [7]3 years ago

8 0

Translation, rotation, and reflection are always congruent. Dilation's are similar to each other....

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The square root of 54 is what??

Vikentia [17]

$\sqrt{54}$ = 7.348469228

this is irrational, because it cannot be written in the form $\frac{a}{b}$
2. Irrational

6 0

3 years ago

What is the value of log Subscript 6 Baseline StartFraction 1 Over 36 EndFraction?

loris [4]

Answer:

-2

Step-by-step explanation:

Let x be the unknown value

Log₆ ( 1/36) = x

( 1/36) = 36⁻¹ = (6²)⁻¹ = 6⁻²

Log₆ ( 1/36) = Log₆ 6⁻² = -2 Log₆ 6

Log₆ 6 = 1

-2 Log₆ 6 = -2(1) = -2

4 0

3 years ago

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I just need to check if I'm right. For 9 and 10

Arlecino [84]

9 and 10 are correct :)

5 0

3 years ago

Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years.

Arada [10]

Answer:

a) $0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799$

$0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847$

The 95% confidence interval would be given by (0.799;0.847)

b) $n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79$

And rounded up we have that n=622

c) $n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

Part a

$\hat p=\frac{823}{1000}=0.823$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: