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velikii [3]
3 years ago
11

CD and CB are tangent to circle A. If CD = 5x – 13 and CB = 12, find x.​

Mathematics
1 answer:
hoa [83]3 years ago
6 0

Answer:

5

Step-by-step explanation:

because 5•5=25 and 25-13=12

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A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

5 0
3 years ago
Sallie Woo worked these hours last week: Monday, 10; Tuesday, 8 1/4; Wednesday, 9 1/2; Thursday, 6; Friday, 8; Saturday, 5. Sall
almond37 [142]

Answer:

Her pay for the week= $ 611.325

Step-by-step explanation:

Sallie is paid $ 11.40 per hour for regular hours.

The total regular hours worked during the week are

Monday + Tuesday + Wednesday + Thursday+ friday = 8 + 8+ 8+6+8= 38 hours

She works overtime during the week

Monday + Tuesday + Wednesday = 2+ 1/4+  1 1/2=  2+ 1/4 + 3/2

= 8 +1+ 6/4=15/4 = 3 3/4 hours

Over the weekend she works five hours .

So the total pay would be

$ 11.40( 38 ) + $ 11.40( 1.5) (  15/4) + $ 11.40 ( 2) ( 5)

= 433.2 + 64.125 + 114.0

= $ 611.325

3 0
3 years ago
Solve 7w = 56, where w is a real number.
steposvetlana [31]

Answer:

w = 8

Step-by-step explanation:

7w = 56

Divide both sides by 7

w = 56/7

w = 8

4 0
4 years ago
Read 2 more answers
Which expression is equivalent to x2 - 8x + 15​
Valentin [98]
The answer is ( x - 3 ) ( x - 5)
3 0
3 years ago
..........................help me pls?
Ludmilka [50]

Answer:

7x-7=y

Step-by-step explanation:

5x+7y=10

5x-10=10-7y-10

5x-10=-7y

(1/7)5x-10=7y(1/7)

5x/35-10/70=y

7x-7=y

<em>Sana</em><em> </em><em>maka</em><em>tulong</em><em> </em>

6 0
3 years ago
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