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kodGreya [7K]
3 years ago
13

Pls help meeee! and show work and explain so I can understand better.

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Answer:

806 meters

Step-by-step explanation:

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If y varies directly with x. and y=10 when x=5.6, find the value of y when<br> X=3
Nady [450]

Answer: 5.3571

Step-by-step explanation:

The formula used to calculate direct proportion is: y = kx

We will find the constant of proportionality when y=10 and x=5.6. This will be:

y = kx

10 = 5.6k

k = 10/5.6

k = 1.7857143

The value of y when X=3 will be:

y = kx

y = 1.7857143 × 3

y = 5.3571

3 0
2 years ago
If i have 7,040 yards how much feet do i have
Vesna [10]

Answer:

21,120 feet

Step-by-step explanation:

1 yard is = 3 feet so you multiply 3 by 7,040

Which is 21,120

Answer: 21,120

Hope this helps!

4 0
2 years ago
Please hurry 14PTS 3 QUESTIONS
goldfiish [28.3K]

Answer:

a) 1/6 b) 0.11

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome

If a two six-sided number cubes are rolled e.g 2dice, the total number of sample space is expressed as 6^n where n is 2(since only 2 six sided cubes are rolled)

Total outcome of event = 6² = 36

If sum of 7 are generated after rolling, the expected outcome will be:

E = {(1,6),(6,1),(2,5),(5,2),(3,4),(4,3)}

Note that each of the list will given a sum of 7

Total expected outcome = 6

Probability that a sum of 7 is rolled

= 6/36

= 1/6

b) Similarly, if a product of 12 is rolled, the expected outcome of event are:

E = {(2,6),(6,2),(3,4),(4,3)}

Expected outcome = 4

Note that the product of each outcome will give us 12.

Probability that a product of 12 is rolled = 4/36

= 1/9

= 0.11 (to nearest hundredth)

3 0
3 years ago
A dot-com company ships products from three different warehouses (A, B, and C). Based on customer complaints, it appears that 3%
Firlakuza [10]

Answer:

The probability of getting defective product from warehouse C is 0.3448

Step-by-step explanation:

<em>Missing question </em><em>"Assume that Ware houses A, B and C ship 30%, 20% and 50% of the dot-com's sales respectively.</em>

<em />

<em>P(A) = </em>Probability of product that comes from warehouse A

<em>P(B) = </em>Probability of product that comes from warehouse B

<em>P(C) = </em>Probability of product that comes from warehouse C

P(A) =  30% = 0.30, P(B) =  20% = 0.20, P(C) =  50% = 0.50

Let D denotes the number of defective products

P(D|A) = 3% = 0.03

P(D|B) = 5% = 0.05

P(D|C) = 2% = 0.02

The probability of getting defective product from warehouse C is as below using the Bayes Rule

P(C|D) = P(D|C) P(C) / P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)

P(C|D) = 0.02 * 0.50 / (0.03*0.30) + (0.05*0.20) + (0.02*0.50)

P(C|D) = 0.01 / 0.009 + 0.01 + 0.01

P(C|D) = 0.01 / 0.029

P(C|D) = 0.3448

Therefore the probability of getting defective product from warehouse C is  0.3448.

3 0
3 years ago
the vertices of square PQRS are P(-4,0) Q(4,3) R(7,-5) S(-1,-8). show that the diagonals of square PQRS are congruent perpendicu
Afina-wow [57]
To show that the diagonals of square PQRS are congruent is to show that they are equal.
|PR| = sqrt((7 - (-4))^2 + (-5 - 0)^2) = sqrt(11^2 + (-5)^2) = sqrt(146)
|QS| = sqrt((-1 - 4)^2 + (-8 - 3)^2) = sqrt((-5)^2 + (-11)^2) = sqrt(146)

To show that they are perpendicular, then the product of their slopes is -1.
slope of |PR| = (-5 - 0)/(7 - (-4)) = -5/11
slope of |QS| = (-8 - 3)/(-1 - 4) = -11/-5 = 11/5
The product of their slopes = -5/11 * 11/5 = -1

To show that they are bisectors is to show that their midpoints are at the same point.
Midpoint of |PR| = ((7 - 4))/2, (-5 + 0)/2) = (3/2, -5/2)
Midpoint of |QS| = ((-1 + 4)/2, (3 - 8)/2) = (3/2, -5/2)
6 0
3 years ago
Read 2 more answers
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