Please help, I need this .

djyliett [7]

Answer:

18°

Step-by-step explanation:

A diameter cuts a circle into two arcs that are each 180°. An inscribed angle that intercepts an arc of 180° has a measure of 90°. Thus we have ...

... 5x = 90°

.. 90°/5 = x = 18°

8 0

2 years ago

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

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

So, 95% confidence interval for the population proportion, p is ;

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

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

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

= [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

2 years ago

I hope someone can help me here please don't answer nonsense!

Karolina [17]

Answer:

30 degrees

Step-by-step explanation:

Angle B is an inscribed angle -- its vertex is on the circle and it intersects the circle in two points, A and C.

The measure of an inscribed angle is always one half the measure of the intercepted arc. The intercepted arc has measure 60 degrees, so the measure of angle B is 30 degrees.

8 0

1 year ago

Im really confused! How do i figure out this problem:

EleoNora [17]

Okay, so let's start by setting up this problem:
(original number=x)(percentage=.06)=(percentage of original number)
So it should look like this:
(x)(.06)=51 Now we should divide .06 from each side
x=850 And there we go! 850 is the answer.
i hope this help

5 0

2 years ago

Read 2 more answers

What is the value represented by the letter A on the box plot of the data?

Aloiza [94]

It would be b because if you take 10 and shusbejsjdhebe

5 0

1 year ago