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-Dominant- [34]
2 years ago
10

How do I do this geometry problem?

Mathematics
1 answer:
lilavasa [31]2 years ago
7 0

Answer:

x = 12

Step-by-step explanation:

I believe that the two tangents are equal to each other so 2x would be equal to x + 12, so you would subtract x from x + 12 and get x equals 12. I think...

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9. The figure shows a rectangle with its length and
lora16 [44]

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

7 0
3 years ago
Can the sum or multiplication of two palindromic numbers be another palindromic number?​
rosijanka [135]

Answer: No.

Step-by-step explanation:

If you multiply 1001 by 1001 it's not another palindromic number.

6 0
2 years ago
The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There
Oksi-84 [34.3K]

Answer:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent certain lifetime of a population, and for this case we know the distribution for X is given by:

X \sim N(10,1)  

Where \mu=10 and \sigma=1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

4 0
3 years ago
A local health clinic surveys its patients about their waterdrinking habits. It found the data is normally distributed,the mean
satela [25.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

water drinking habits:

mean = 62 ounces

standard deviation = 5.2 ounces

Step 02:

normally distribution:

95% ===> 2 SD

(62 + 5.2 + 5.2) ounces = 72.4 ounces ==> + 2 SD

(62 - 5.2 - 5.2) ounces = 51.6 ounces ==> - 2 SD

The answer is:

51.6 ounces - 72.4 ounces

3 0
1 year ago
Lexie, a bowler, claims that her bowling score is more than 140 points, on average. Several of her teammates do not believe her,
Crazy boy [7]

Answer:

The  test statistic is  t  = 3.744

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu  =  140

  The  The  level of significance is  \alpha  =  0.05

  The  sample size is  n =  18

   The  null hypothesis is  H_o :  \mu =  140

    The  alternative hypothesis is  H_a  :  \mu > 140

    The sample mean is  \= x  =  155

     The  standard deviation is  \sigma  =  17

Generally the test statistics is mathematically represented as

       t  =  \frac{\= x  - \mu }{ \frac{ \sigma}{ \sqrt{n} } }

substituting values

      t  =  \frac{ 155  - 140 }{ \frac{ 17 }{ \sqrt{18} } }

      t  = 3.744

7 0
3 years ago
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