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Vaselesa [24]
3 years ago
7

Find the missing number of each unit rate

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0

Answer:

7

Step-by-step explanation:

To find the missing value for the ratio, find number that multiply 8 to 56.

8*7 = 56.

So the numerator is 1 * 7 = 7.

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Find the missing length of the triangle
kondaur [170]

Answer:

35/3 yd

Step-by-step explanation:

first convert the hypotenuse into 37/3, then you can write (37/3)^2-(4)^2=a^2. solve to get 35/3

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3 years ago
What is the percentage of 0.39
Kitty [74]

Answer:

39%

Step-by-step explanation:

8 0
3 years ago
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Construct the confidence interval for the population mean mu. c = 0.90​, x = 16.9​, s = 9.0​, and n = 45. A 90​% confidence inte
Georgia [21]

Answer:

The  90%  confidence interval for population mean is   14.7  <  \mu  <  19.1

Step-by-step explanation:

From the question we are told that

   The sample mean is  \= x  =  16.9

    The confidence level is  C  =  0.90

     The sample size is  n  =  45

     The standard deviation

Now given that the confidence level is  0.90 the  level of significance is mathematically evaluated as

       \alpha =  1-0.90

       \alpha  =  0.10

Next we obtain the critical value of  \frac{\alpha }{2}  from the standardized normal distribution table. The values is  Z_{\frac{\alpha }{2} } =  1.645

The  reason we are obtaining critical values for \frac{\alpha }{2}  instead of  that of  \alpha  is because \alpha  represents the area under the normal curve where the confidence level 1 - \alpha (90%)  did not cover which include both the left and right tail while \frac{\alpha }{2}  is just considering the area of one tail which is what we required calculate the margin of error

  Generally the margin of error is mathematically evaluated as

        MOE  =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

         MOE  = 1.645*  \frac{ 9 }{\sqrt{45} }

         MOE  = 2.207

The  90%  confidence level interval is mathematically represented as

      \= x  -  MOE  <  \mu  <  \= x  +  MOE

substituting values

     16.9 -  2.207  <  \mu  <  16.9 +  2.207

    16.9 -  2.207  <  \mu  <  16.9 +  2.207

     14.7  <  \mu  <  19.1

         

3 0
3 years ago
Given:<br>AC – AR<br>&lt;1 = &lt;2<br>Prove:<br>&lt;3 =&lt;4<br><br>​
Katena32 [7]

Answer:

ΔCTA ≅ ΔDRA

Step-by-step explanation:

Triangles CTA and DRA are congruent by ASA postulate. This is because:

  • ∠1 ≅ ∠2 (given)
  • AC ≅ AR (given)
  • ∠A is the same for both triangles (they are opposite angles)

Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4

8 0
3 years ago
What is the answer to 2x2
True [87]

Answer:

2 x 2 = 4

Step-by-step explanation:

Two cookies plus another two cookies is 4. You can also use a multiplication table. :)

6 0
3 years ago
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