How many different ways can officers be appointed

The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample

Wittaler [7]

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

$pX = \frac{68}{86} = 0.7907$

$sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439$

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

$pY = \frac{105}{120} = 0.875$

$sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302$

Difference:

$p = pX - pY = 0.7907 - 0.875 = -0.0843$

$s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533$

Confidence interval:

$p \pm zs$

In which z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ , with $\alpha$ being 1 subtracted by the confidence level.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Lower bound of the interval:

$p - zs = -0.0843 - 1.96*0.0533 = -0.1888$

Upper bound of the interval:

$p + zs = -0.0843 + 1.96*0.0533 = 0.0202$

The 95% confidence interval for the difference is (-0.1888, 0.0202).

6 0

3 years ago

Whatbnis made up of a whole number and a fraction

andrew-mc [135]

A mixed fraction... is made out of a whole number and a fraction. 3 7/10

8 0

3 years ago

PLEASE HELP

jasenka [17]

Answer:

2.The set of all values for output of a function. 4.The values for the dependent variable. And 6.The set of all y values.

Step-by-step explanation:

Domain is the input of the function and is also the independent variable, as for the range is the output and dependent variable. Given a function f , the set x values (inputs) is the domain of f , and the set y values ( outputs ) is the range of f . The domain of a function f is all of the values for which the function is defined. For instance, 1x is not defined when x=0 . Also, √x is not defined when x is negative.

(I’m also just learning this so I apologize if I am incorrect. I try my best.)

3 0

3 years ago

Which steps can be used to verify that tan(w + Pi) = tan(w)? Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expressi

Artist 52 [7]

Answer:

Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0

Step-by-step explanation:

According to tangent sub identity

Tan(A+B) = TanA+TanB/1-tanAtanB

Applying this in question

Tan(w+Pi) = tan(w)+tan(pi)/1-tan(w)tan(pi)

According to trig identity, tan(pi) = 0

Substitute

Tan(w+Pi) = tan(w)+0/1-tan(w)(0)

Tan(w+Pi) = tan(w)/1

Tan(w+Pi) = tan(w) (proved!)

Hence the correct option is

Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0

3 0

3 years ago

josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The dried cranberries weight 8.5 ounces

Nata [24]

Answer:yes

Step-by-step explanation:

6 0

3 years ago