How to know if a limit exists

a line passes through the point (-9,7) and has a slope of -4/3 write an equation in point slope form for this line

DENIUS [597]

The answer would be: Y= -4/3x - 5

5 0

3 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

3 years ago

Rewrite the equation 4x + 5x2 = 8x – 7 in standard form and

Makovka662 [10]

Answer:

The correct option is a=5, b = -4, c=7 ....

Step-by-step explanation:

The standard form is ax²+bx+c=0

where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

The given expression is:

4x + 5x2 = 8x – 7

To make it a standard equation we will move all the values to the left hand side and 0 will be left at the right hand side.

4x+5x²-8x+7=0

Now solve the like terms and arrange the equation according to the standard form:

ax²+bx+c=0

5x² - 4x +7 =0

Here a = 5

b = -4

c= 7

Thus the correct option is a=5, b = -4, c=7 ....

4 0

3 years ago

One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh

Arte-miy333 [17]

Answer:

Each shelter would get 121 blankets

And there would be 5 blankets left over

Step-by-step explanation:

One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?

From the above question

7 local shelters = 852 blankets

1 local shelters = x blankets

Cross Multiply.

7x = 852 blankets

x = 852 blankets/7

x = 121 5/7 blankets

Therefore, Each shelter would get 121 blankets

And there would be 5 blankets left over

7 0

2 years ago

How to write five million, forty thousand

NeTakaya

That would be 5,040,000

8 0

3 years ago

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