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3 years ago

What is the quoteint of 2/3 in 2/9

Mathematics

1 answer:

andre [41]3 years ago

6 0

Answer: 3

Explanation:

2/3 divided by 2/9

2/3 times 9/2

= 3

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The measure of one a cite angle of a right triangle is 6 less than twice the measure of the other acute angle find the measure o

jeka57 [31]

Answer:

32°, 58°

Step-by-step explanation:

Let one acute angle measure x.

The other acute angle measures 2x - 6.

The sum of the measures of the acute angles of a right triangle is 90.

x + 2x - 6 = 90

3x - 6 = 90

3x = 96

x = 32

2x - 6 = 2(32) - 6 = 58

Answer: 32°, 58°

8 0

2 years ago

Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proporti

hodyreva [135]

Answer:

The sample size n = 4225

Step-by-step explanation:

We will use maximum error formula = $\frac{z_{a} S.D}{\sqrt{n} }$

but we will find sample size "n"

$\sqrt{n} = \frac{z_{a} S.D}{maximum error}$

Squaring on both sides , we get

$n = (\frac{z_{a} S.D}{maximum error})^2$

Given 99% confidence interval (z value) = 2.56

given maximum error = 0.02

$n = (\frac{z_{a} p(1-p)}{maximum error})^2$

n≤ $(\frac{2.56X\frac{1}{2} }{0.02}) ^{2}$ ( here S.D = p(1-p) ≤ 1/2

on simplification , we get n = 4225

<u>Conclusion</u>:

The sample size of two samples is n = 4225

<u>verification</u>:-

We will use maximum error formula = $\frac{z_{a} S.D}{\sqrt{n} }$ = $\frac{2.56 1/2}{\ \sqrt{4225} }$ = 0.0196

substitute all values and simplify we get maximum error is 0.02

4 0

3 years ago

Pleaseeeee help is it -2 or 16 btw it’s geometry and it needs to be counterexample

Yakvenalex [24]

Answer:

false

Step-by-step explanation:

x can be equal to 2 or -2 since square root of a number can't be negative

4 0

3 years ago

Let angle 1 and angle 2 be complementary. If má 1 = 4x +3 and m42 = x + 2, find the measure

Andre45 [30]

Answer:

m∠1 = 71°

Step-by-step explanation:

Angle 1 and 2 are complementary, meaning the measures of the two angles add up to 90°.

Set the measures of the two angles equal to 90°

$(4x+3)+(x+2)=90\\$

Combine like terms

$5x+5=90$

Solve for x

$x=17$

Plug the value of 'x' back into the given equation for the measure of angle 1

$m$

m∠1 = 71°

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Geraldine opens a bank account with $150. After depositing five checks which were all for the same amount, her account has $308.

snow_lady [41]

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