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ankoles [38]
3 years ago
11

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2 and the z-term has a coefficient of -1.

The expression has a constant term less than zero which expression could he have written
Mathematics
1 answer:
mixer [17]3 years ago
5 0
Z(2/.0005)•Y maybe hope it helped
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Nutka1998 [239]

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answer is 74

Step-by-step explanation:

-6+4 x 20

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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
A 5% destroys solution is given intravenously. Suppose a total of 2.64 L of the solution is given over a 19-hour period. What is
kow [346]

Answer:

The flow rate is 138.95 mL per hour.          

Step-by-step explanation:

We are given the following in the question:

Volume of solution = 2.64 L

1 L = 1000 mL

Volume of solution in mL =

2.64\times 1000 = 2640\text{ ml}

Time period = 19 hour

Unit rate of flow =

=\dfrac{\text{Volume}}{\text{Time period}}\\\\=\dfrac{2640}{19}\\\\=138.95\text{ mL per hour}

Thus, the flow rate is 138.95 mL per hour.

5 0
3 years ago
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