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lilavasa [31]
3 years ago
5

rancho middle school has an average of 23 3/8 students per teacher.write this mixed number as a decimal.

Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0
The answer is :
23 3/8 can be written as 23.375
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What is the vertex form of this equation y=3(x-2)^2-(x-5)^2​
jek_recluse [69]

Answer: Hello, it would be 3(x-2)^2-(x-5)^2

Step-by-step explanation:

6 0
3 years ago
Diego started a savings account with $120. Every month, he deposits $15 into the account. He wants to know
Elis [28]

Answer:

The inequality 15m + 120 ≥ 200 represents the situation.

Step-by-step explanation:

Given that:

Diego started savings account with $120.

Amount deposited each month = $15

Number of months = m

The least balance he wants to have = $200

Amount deposited each month * No. of months + Amount deposited at start ≥ Least amount of balance

15*m + 120 ≥ 200

15m + 120 ≥ 200

Hence,

The inequality 15m + 120 ≥ 200 represents the situation.

5 0
3 years ago
Please help me (It's for a really important grade)
Sholpan [36]

Answer:

4/5

Step-by-step explanation:

Sin = Opposite / Hypotenuse

Note that hypotenuse = longest side

We want to find sinФ

The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10

So sinФ would equal 8/10 which can be simplified to 4/5

7 0
2 years ago
Trials in an experiment with a polygraph include results that include cases of wrong results and cases of correct results. Use a
hram777 [196]

Answer and Step-by-step explanation:

This is a complete question

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80​% of the time. Identify the null​hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution.

The computation is shown below:

The null and alternative hypothesis is

H_0 : p = 0.80

Ha : p < 0.80

\hat p = \frac{x}{ n} \\\\= \frac{74}{97}

= 0.7629

Now Test statistic = z

= \hat p - P0 / [\sqrtP0 \times (1 - P0 ) / n]

= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]

= -0.91

Now

P-value = 0.1804

\alpha = 0.01

P-value > \alpha

So, it is Fail to reject the null hypothesis.

There is ample evidence to demonstrate that less than 80 percent of the time reports that these polygraph findings are accurate.

5 0
3 years ago
If they are right triangles
Ahat [919]
You can use Pythagreos theorem to determine it!
Pythagreos theorem is a^2 + b^2 = c^2
1) 4^2 + 4^2 = 6^2
   16    +  16  = 36
         32       = 36 (So this is not a right-angled triangle )
2) 16^2 + 12^2 = 20^2
      256 + 144  = 400
       400          = 400 (Sp this is a right-ngled triangle)
     
5 0
3 years ago
Read 2 more answers
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