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hjlf
3 years ago
6

Which set of numbers represents the lengths of the sides of a right triangle? 1. {7, 24, 25} 2. {9, 16, 23} 3. {10, 12, 14} 4. {

14, 16, 18}?
Mathematics
1 answer:
wolverine [178]3 years ago
5 0
1
{7}^{2}  +  {24}^{2}  =  {25}^{2}
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Divide.<br><br> 456 ÷ 7<br><br><br> 64 R 1<br><br> 64 R 2<br><br> 65 R 1<br><br> 65 R 2
umka2103 [35]

Answer:

456/7 equal to (drum rolls) 65.1428571429

Step-by-step explanation:

8 0
3 years ago
Kevin has $100 in a savings account that earns 10% annually. The interest is not compounded. How much will he have in 2 years?
Kisachek [45]
He will have 220 that is how much he will have
5 0
2 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviat
nexus9112 [7]

Answer:

Two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

Step-by-step explanation:

We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviation of 0.07 millimeters.

<em>Let X = diameters of bolts produced in a machine shop</em>

So, X ~ N(\mu=5.65,\sigma^{2} = 0.07^{2})

The z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

            \sigma = standard deviation

<u>Now, we have to find the two diameters that separate the top 4% and the bottom 4%.</u>

  • Firstly, Probability that the diameter separate the top 4% is given by;

        P(X > x) = 0.04

        P( \frac{X-\mu}{\sigma} > \frac{x-5.65}{0.07} ) = 0.04

        P(Z > \frac{x-5.65}{0.07} ) = 0.04

<em>So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;</em>

                 \frac{x-5.65}{0.07}  = 1.7507

              x-5.65 = 0.07 \times 1.7507

                         x = 5.65 + 0.122549 = 5.77

  • Secondly, Probability that the diameter separate the bottom 4% is given by;

        P(X < x) = 0.04

        P( \frac{X-\mu}{\sigma} < \frac{x-5.65}{0.07} ) = 0.04

        P(Z < \frac{x-5.65}{0.07} ) = 0.04

<em>So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;</em>

                 \frac{x-5.65}{0.07}  = -1.7507

              x-5.65 = 0.07 \times (-1.7507)

                         x = 5.65 - 0.122549 = 5.53

Therefore, the two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.

4 0
3 years ago
if the first qaudrant is you start from is (11,10) nd move 7 left and 5 units down what pont will you end up on?
Grace [21]

Answer:

(4, 5 )

Step-by-step explanation:

Moving 7 left is in the x direction and means subtract 7 from the x- coordinate

Moving 5 down is in the y direction and means subtract 5 from the y- coordinate, that is

(11, 10 ) → (11 - 7, 10 - 5 ) → (4, 5 )

4 0
3 years ago
Please help me i need an answer
Blizzard [7]
The correct answer is -14
8 0
3 years ago
Read 2 more answers
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