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White raven [17]
3 years ago
6

Alex prepares goody bags for his guests. He has 30 Minifigures and 24 spinners. How many goody bags can he make if he wants to p

ut the same number of Minifigures in each bag and the same number of spinners in each bag with no toys left over?
Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

Answer:

he can make 6 goodie bags

Step-by-step explanation:

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Convert 12°34'56” to decimal degree form. Round your answer<br> to four decimal places.
Vlada [557]

Answer:

12.57555 rounded to 12.5756

Step-by-step explanation:

34'=34*1/60=0.56°

56''=56/1/3600=0.01555°

12°+0.56°+0.01555°=12.57555°

7 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
I WILL MARK BRAINLIEST! Solve for X
NARA [144]

Answer:

Step-by-step explanation:

You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional.  So set up two ratios that are = to each other

On the left

long side small triange / long side large triangle = base small triangle / base large triangle

On the right

hypotenuse/longest leg = hypotenuse / longest leg.

Problem A

Set up the similar Proportion

5/40 = x/20                Cross Multiply

40x = 20*5

40x = 100                   Divide by 40

x = 100/40

x = 2.5

Problem B

Again set up the similar triangle proportion

15/10 = x/2                  Multiply by 2

15*2/10 = x              

3 = x

6 0
2 years ago
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What is larger 0.717 or 0.759
KIM [24]

Answer:

0.717

Step-by-step explanation:

4 0
3 years ago
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Can someone please help me
Sergeu [11.5K]

Answer:

2. 12

Step-by-step explanation:

5 0
3 years ago
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