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lozanna [386]
3 years ago
8

Line segment SU is a diameter of circle v

Mathematics
2 answers:
lyudmila [28]3 years ago
7 0

Answer:


Step-by-step explanation:

Based on the figure given:Angle S is equal to 34 degrees.The triangle is inscribed in a circle, we can assume that the triangle is a right triangle. Thus, the measure of angle U is180 - 90 - 34 = 56 degrees. This is equivalent to the measure of the arc opposite the angle. Therefore, the measure of arc ST is also 56 degrees.



ioda3 years ago
7 0

Answer: 112

Step-by-step explanation:

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genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a ​%
Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The  95%  confidence interval is  0.2392  <  p < 0.3108

No, the confidence interval includes​ 0.25, so the true percentage could easily equal​ 25%

Step-by-step explanation:

From the question we are told that

  The total sample size is  n  =  432 + 164 =596

   The  number of  offspring that is yellow peas is y =  432

   The  number of  offspring that is green peas   is g =  164

   

The sample proportion for offspring that are yellow peas is mathematically evaluated as

        \r p  =  \frac{ 164 }{596}

        \r p  =  0.275

Given the the  confidence level is  95% then the level of significance is mathematically represented as

       \alpha  =  (100 - 95)\%

      \alpha =  5\%  =  0.0 5

The  critical value of  \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} } = 1.96

Generally the margin of error is mathematically evaluated as

        E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }

=>      E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }

=>      E =  0.0358

The  95%  confidence interval is mathematically represented as

      \r p - E  <  p < \r p + E

=>   0.275 -  0.0358  <  p < 0.275 +  0.0358

=>   0.2392  <  p < 0.3108

6 0
3 years ago
Jesse says that the expressions 762x + 9) and 14x + 9 are equivalent
Schach [20]

Answer:

Jesse is an idiot

Step-by-step explanation:

762x does not equal 14x

5 0
2 years ago
5, 10, 15, 20 what is the a1 and d please help
boyakko [2]

Answer:

10

Step-by-step explanation:

5 0
2 years ago
A cardboard box without a top is to have volume 62500 cubic cm. find the dimensions which minimize the amount of material used.
bezimeni [28]

Answer: A cardboard box without a lid is to have a volume of 32,000 cubic cm. Find the dimensions that minimize the amount of cardboard used

. ans: base 40 x 40, height = 20  

Solution:  

The typical box might look like the one below  

where . In addition we have xyz = 32000 ,so we need to minimize .  

We have,  

 

From the geometry of the problem  so y = x. So  or x = 40.  

Finally, y = x = 40 and z = 32000/(xy)=20.

8 0
3 years ago
Use the graph to find the cost of 8 hats.
wariber [46]

If you look at the graph, the x axis the the number of hats and y axis is the cost.

So 8 hats will cost $60

Answer

D. The cost of 8 hats is $60

4 0
3 years ago
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