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poizon [28]
3 years ago
14

What is the value of x? Enter your answer in the box. x = cm

Mathematics
1 answer:
vodomira [7]3 years ago
4 0

Answer:

x=5 cm

Step-by-step explanation:

The two triangles are similar by AA~. So, x and 4cm are corresponding side lengths, just like 4cm and 32 cm are.

Therefore, you can set up the proportion

4/32 = x/40 and solve to get x = 5

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The length of needles produced by a machine has standard deviation of 0.04 inches. Assuming that the distribution is normal, how
Lana71 [14]

Answer:

The sample size is  n  = 87

Step-by-step explanation:

From the question we are told that

      The standard deviation is  \sigma  =  0.04 \  inches

       The  precision is d =  \pm  0.005 \ inches

        The confidence level is C =98%

Generally the sample size is mathematically represented as  

        n  =  \frac{ Z_{\frac{\alpha }{2} } ^2*  \alpha^2 }{d^2}

Where  \alpha  is the level of significance which is mathematically evaluated as

        \alpha  =  100 - 98

        \alpha  =  2%

        \alpha  = 0.02

and  Z_{\frac{\alpha }{2} } is the critical value of \alpha which is obtained from the normal distribution table as  2.326

  substituting values

         n  =  \frac{2.326 ^2*  0.02^2 }{0.005^2}

        n  = 87

   

3 0
3 years ago
Use a calculator or a square root table to approximate to the nearest thousandth
Tanzania [10]

Answer:

The approximate value nearest to thousandth is 5.916.

Step-by-step explanation:

Given:

√35 to approximate to the nearest thousandth.

Now, for the solution we use calculator and get the value of \sqrt{35}  =5.91607.

According to question:

As we have 6 in the thousandth place and 0 in the ten-thousandth place which is less than 5. So, the value 6 remains unchanged.

So, the approximate value nearest to thousandth is 5.916.

6 0
3 years ago
100 points!!!!!!!!!!!!!!!!!!!!What should the numerator of the second fraction be so that the fractions are equivalent?
VladimirAG [237]

Answer:

28/3 or 9⅓

Step-by-step explanation:

2/3 = x/14

x = 2×14/3

x = 28/3

6 0
3 years ago
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Complete the description of how to model -4x + 6 = 23
charle [14.2K]
Well I will put an example but the easiest way

Expanding-

When u ex and
7 0
3 years ago
A quadilateral ABCD is drawn to circumcribe a circle . prove that AB+CD=AD+BC
lora16 [44]

Answer:

Helllllp

Step-by-step explanation:

3 0
3 years ago
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