A retired man gets paid 4/5 of his regular salary. If his retirement pay amounts to $28,000, what was his regular salary?

Algebra 1 -5c+d=2c find for c

beks73 [17]

Answer:

d/7 = c

Step-by-step explanation:

-5c+d=2c

Add 5c to each side

-5c+5c+d=2c+5c

d = 7c

Divide each side by 7

d/7 = 7c/7

d/7 = c

8 0

3 years ago

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Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the nu

olga_2 [115]

Answer:

a

The probability that the selected joint was judged to be defective by neither of the two inspectors is $P(A' n B' ) = 0.8855$

b

The probability that the selected joint was judged to be defective by inspector B but not by inspector A is $P(A' n B) =0.0403$

Step-by-step explanation:

From the question we are told that

The sample size is $n_s = 10000$

The number of outcome for inspector A is $n__{A}} = 742$

The number of outcome for inspector B is $n__{B}} = 745$

The number of joints judged defective by both inspector is $n(A u B) = 1145$

The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

$P(A' n B' ) = 1 - P(A u B)$

Now

$P(A\ u \ B) = \frac{n(Au B)}{n_s }$

substituting values

$P(A\ u \ B) = \frac{1145}{ 10 000 }$

So

$P(A' n B' ) = 1 - \frac{1145}{10 000}$

$P(A' n B' ) = 0.8855$

the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as

$P(A' n B) = P(A \ u \ B) -P(A)$

Now

$P(A) = \frac{n__{A}}{n_s}$

substituting values

$P(A) = \frac{742}{10 000}$

So

$P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}$

$P(A' n B) =0.0403$

7 0

3 years ago

A clothes shop has some special offers. T-shirts are buy one get one free and jumpers are 3 for 2. The normal price of a T-shirt

MAXImum [283]

Answer:

£17.20

Step-by-step explanation:

A clothes shop has some special offers. ?

The normal price of a T-shirt is £7.40 The normal price of a jumper is £9.80.

T-shirts are buy one get one free Jumpers are 3 for 2.

How much does it cost to get 5 jumpers and 2 T-shirts using this offer as appropriate?

The cost of 2 T-shirts since it is a buy 1 get 1 free => £7.40

The cost of 5 jumpers =

You buy 3 Jumpers ,you get 2 jumpers free => £9.80

The total cost = £7.40 + £9.80

= £17.20

4 0

2 years ago

A study of bone density on 5 random women at a hospital produced the following results.

IRINA_888 [86]

Answer:

- 0.9503 ; r is not statistically significant ; 0.9031

Step-by-step explanation:

Given the following :

Age (X) :

37

41

57

65

73

Bone density (Y)

355

345

340

315

310

Using the pearson R value calculator :

The r value of the data % - 0.9503.

This value depicts a very strong negative correlation between age and density of bone.

Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.

The Coefficient of determination R^2 can be obtained by getting the square value of R

R^2 = - 0.9503^2

R^2 = 0.90307009

R^2 = 0.9031

8 0

3 years ago

Factor the expression: -3r - 15

iren2701 [21]

Answer:

-3(r+5)

Step-by-step explanation:

............

.

5 0

3 years ago

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