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sveticcg [70]
3 years ago
8

Which of the following numbers is a power of ten?

Mathematics
2 answers:
Sloan [31]3 years ago
4 0
A. 20^10= 20,000 it repeats its self 10 times
Vinil7 [7]3 years ago
3 0
C.) 0.0001 is a power of ten
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g In a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained
Marat540 [252]

Answer:

95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

Step-by-step explanation:

We are given that in a certain rural county, a public health researcher spoke with 111 residents 65-years or older, and 28 of them had obtained a flu shot.

Firstly, the Pivotal quantity for 95% confidence interval for the population proportion is given by;

                          P.Q. =  \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of residents 65-years or older who had obtained a flu shot = \frac{28}{111} = 0.25

          n = sample of residents 65-years or older = 111

          p = population proportion of residents who were getting the flu shot

<em>Here for constructing 95% confidence interval we have used One-sample z test for proportions.</em>

<u>So, 95% confidence interval for the population proportion, p is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                                of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } },\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ]

   = [ 0.25-1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } } , 0.25+1.96 \times {\sqrt{\frac{0.25(1-0.25)}{111} } } ]

   = [0.169 , 0.331]

Therefore, 95% confidence interval for the percent of the 65-plus population that were getting the flu shot is [0.169 , 0.331].

7 0
3 years ago
How do you solve 7n-2=6n-2n
pantera1 [17]
First combine like terms:
6n-2n = 4n
7n-2=4n
subtract 7n from both sides
7n-2=4n
-7n    -7n
-2=-3n
divide -2 on both sides.
n=1.5
7 0
3 years ago
Which one of the following is not closed under the operation being performed
Sergeu [11.5K]
Remember that polynomials are closed under addition, subtraction, and multiplication, but they are not closed under division. The only division you have there is B; therefore the correct answer is B.

A. (14x-2)3(x-2)=14 x^{2} -90x+10. The result is still a polynomial; therefore, answer A is incorrect.

B. \frac{(14x-2)}{3(x-2)} =  \frac{14}{3} with a remainder of 26. The result is not a polynomial anymore; therefore, B is the correct answer.

C. (14x-2)+3(x+2)=17x+4. The result is still a polynomial; therefore, answer C is incorrect.

D. (14x-2)+3(x+2)=17x+4. The result is still a polynomial; therefore, answer D is incorrect.
4 0
3 years ago
2x+5y=-7 <br> 7x+y=-8 <br> Substitution <br> Algebra 1
melomori [17]

{x,y} = {-1,-1}

hope this helps

5 0
3 years ago
In order for the parallelogram to be a rhombus x=
Eva8 [605]

Answer:

17

Step-by-step explanation:

Properties used:-

All sides of rhombus are equal therefore in the triangles

EQUAL SIDE OPPOSITE TO ANGLES, ANGLES BECOME EQUAL

then we use alternate interior angles

Then we get,

3x-11=x+23

2x=34

x=17

4 0
2 years ago
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