Mathematics: The sum of two numbers is 85. The second Number is four more than two times the first number. What are the two numbers?

The sum of two numbers is 85. The second Number

Fahaddie

17.04.2022

Step-by-step explanation:

x=first number; y=second number

x+y=85

y-4=2x

Solve-

y=85-x

(85-x)-4=2x

81=3x

x=27

Plug in-

(27)+y=85

y=58

0,0(0 оценок)

aubford9442

03.07.2022

98% Confidence interval: (0.5483,0.6891)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 257

Number of adults total body length was 28 feet or longer, x = 159

$\hat{p} = \dfrac{x}{n} = \dfrac{159}{257} = 0.6187$

98% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.02} = 2.326$

Putting the values, we get:

$0.6187\pm 2.326(\sqrt{\dfrac{0.6187(1-0.6187)}{257}})\\\\ = 0.6187\pm 0.0704\\\\=(0.5483,0.6891)$

is the required 98% confidence interval.

0,0(0 оценок)