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Bogdan [553]
2 years ago
12

PLS HELP

Mathematics
1 answer:
Setler [38]2 years ago
8 0

Answer:

yes

Step-by-step explanation:

41/50=615/75

same ratio

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Victoria earns $255 by working 20 hours each week
Alborosie
She would make $98.50 in 10 hours.

Explanation :
255/20 = 12.75
12.75 - 2.90 = 9.85
9.85 x 10 = 98.50
6 0
3 years ago
Cos(0)=square root 3/3, sin 0<0. what is the value of sin0​
abruzzese [7]

Answer:

sin θ = \frac{\sqrt{6} }{3}

Step-by-step explanation:

Given that,

cos θ = \frac{\sqrt{3} }{3}

From the trigonometric functions,

cos θ = \frac{adjacent}{hypotenus}

⇒ adjacent = \sqrt{3}, and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

/hyp/^{2} = /adj/^{2} + /opp/^{2}

/3/^{2} = (\sqrt{3} )^{2} + x^{2}

9 = 3 + x^{2}

x^{2} = 9 - 3

   = 6

x = \sqrt{6}

Thus, opposite side = \sqrt{6}

So that,

sin θ = \frac{opposite}{hypotenuse}

        = \frac{\sqrt{6} }{3}

Therefore,

sin θ = \frac{\sqrt{6} }{3}

6 0
3 years ago
Complete the congruence statement
blondinia [14]

Step-by-step explanation:

'll equals 64 there you go

3 0
3 years ago
Determine whether the following sequence is geometric. If so, find the common ratio.
Doss [256]

Geometric sequence

-5 each term is multiplied by -5

7 0
3 years ago
Read 2 more answers
The number of hours that a nine month old baby sleeps at night are normally distributed with a population standard deviation of
finlep [7]

Answer:

The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this quesstion:

\sigma = 1.5, n = 22

So

M = 1.645*\frac{1.5}{\sqrt{22}} = 0.53

The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.

4 0
3 years ago
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