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3 years ago

Given the following formula solve for y.

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

4 0

Answer:

D. y = x-2(w+z)

Step-by-step explanation:

w = (x-y)/2 -z

Add z to each side

w+z = (x-y)/2 -z +z

w+z = (x-y)/2

Multiply each side by 2

2(w+z) = (x-y)/2 *2

2(w+z) = x-y

Subtract x from each side

2(w+z) -x = x-y-x

2(w+z) -x = -y

Multiply each side by -1

-2(w+z) +x = y

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A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2: S

Anna35 [415]

Answer:

The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.

1536 - 1383 = 153

This means that $n = 1536, \pi = \frac{153}{1536} = 0.1$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.082$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 + 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.118$

The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).

6 0

3 years ago

Pls help if u know math

Minchanka [31]

Answer:

x = 4

y = 11

Step-by-step explanation:

Set your formula as follow:

2x+3=3x-1 -> 2x+3-3x=-1 -> -x+3 = -1 -> -x=-4 -> x=4

now substitute x for 4 in the following

y-2=2(4)+1 -> y-2=8+1 ->y-2 = 9y -> y=11

6 0

3 years ago

Read 2 more answers

Find two consecutive integers whose sum is -13

Lemur [1.5K]

Answer:

-6 and -7

Step-by-step explanation:

Set up an equation: x+x+1=-13 2x=-14 x=-7. Since it is negative, you go down 1. -6 and -7 hope this helps plz mark brainliest if correct

4 0

3 years ago

Plot the points A(9, 11) and B(–3, –5). Find midpoint M of AB. Then show that AM = MB and AM + MB =AB

Alex_Xolod [135]

Answer:

The midpoint is (3, 3).

Step-by-step explanation:

We are given the two points A(9, 11) and B(-3, -5).

The midpoint is given by:

$\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)$

So:

$\displaystyle M = \Big( \frac{9+(-3) }{2}, \frac{ 11+(-5) }{2} \Big) = (3,3)$

The midpoint is (3, 3).

We want to show that AM = MB.

We can use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

The distance between A(9, 11) and M(3, 3) will then be:

$AM=\sqrt{(9-3)^2+(11-3)^2}=\sqrt{6^2+8^2}=\sqrt{100}=10$

And the distance between B(-3, -5) and M(3, 3) will be:

$MB = \sqrt{ (3-(-3))^2 + (3-(-5))^2 } = \sqrt{(6)^2+(8)^2} = \sqrt{ 100 } = 10$

So, AM = MB = 10.

Since AM = MB = 10, AM + MB = 10 + 10 = 20.

So, we want to prove that AB = 20.

By the distance formula:

$AB=\sqrt{(9-(-3))^2+(11-(-5))^2}=\sqrt{12^2+16^2}}=\sqrt{400}=20\stackrel{\checkmark}{=}20$

4 0

3 years ago

The isotope known as carbon-14 is radioactive and will decay into the stable form nitrogen-14. As long as an organism is alive,

yan [13]

Answer:

The number of half lives in 14000 years is 2.4258.

Step-by-step explanation:

Initial amount of carbon-14 = $N_o$

Final amount of carbon-14= N

Half life of carbon-14 = $t_{1/2}=5770 year$

Decay constant = k = $\frac{0.693}{t_{1/2}}=\frac{0.693}{5770 year}$

Age of the sample = t = 14,000 years

$N=N_o\times e^{-kt}$

$N=N_o\times e^{-\frac{0.693}{5770 year}\times 14,000 yeras}$

$N=N_o\times 0.1861$

Formula used for number of half lives

$N=\frac{N_o}{2^n}$

where,

N= amount of reactant left after n-half lives

$N_o$ = Initial amount of the reactant

n = number of half lives

$N_o\times 0.1861=\frac{N_o}{2^n}$

$2^n=\frac{1}{0.1861}$

$2^n=5.3734$

Taking log both sides

$n\log 2=\log (5.3734)$

n = 2.4258

The number of half lives in 14000 years is 2.4258.

7 0

3 years ago

Given the following formula solve for y.​

Given the following formula solve for y.