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3 years ago

5 less than the product of a number n and 3

Mathematics

2 answers:

bazaltina [42]3 years ago

8 0

Answer:

3n-5

Step-by-step explanation:

Bess [88]3 years ago

6 0

Step-by-step explanation:

5 - 3n

I think sooooooo

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9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.

masya89 [10]

If y varies directly with x and y = -3 when x = 6, find y when x = 14.

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

we are given y = -3 when x = 6

so substitute y = -3 and x = 6 to determine 'k'

k = y/x

k = -3/6 = -1/2

Now we have to find y when x = 14

so substituting x = 14 and k = -1/2 to find y

y = kx

y = -1/2 × 14 = -7

Therefore, the value of y = -7 when x = 14

10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.

we are given y = 4 when x = 3

so substitute y = 4 and x = 3 to determine 'k'

k = y/x

k = 4/3

Now we have to find x when y = -12

so substituting y = -12 and k = 4/3 to find x

y = kx

x = y/k

x = [-12] / [4/3] = [-12×3] / [4]

x = -36/4

x = -9

Therefore, the value of x = -9 when x = 3

11)

If y varies directly with x and y = -6 when x = 2, find the constant of variation.

We are given

y = -6

x = 2

so substitute y = -6 and x = 2 in the equation

k = y/x

k = -6/2

k = -3

Therefore, the value of the constant of variation will be:

k = -3

7 0

3 years ago

A stone monument is the shape of a pyramid. The width of the base is 12 m and the length of the base is 9 m. The height of the m

inessss [21]

V=(LxWxH)/3 so, V= (9x12x15)/3 = 1,620/3 = 540m^3. From here you multiply 540m^3 by 3,000kg/m^3 and get 1,620,000kg. Then you divide 1,620,000kg by 2,000kg/metric tonne and get 810 metric tonnes.

5 0

3 years ago

Veronica wants to convert 108 inches to feet. What does she need to do?

ArbitrLikvidat [17]

Answer:

Divide 108 by 12 since there are 12 inches in a foot.

108 ÷ 12 = 9

5 0

2 years ago

8.The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb. The

Sladkaya [172]

Answer:

The value is c = 21.1445.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.

This means that $\mu = 12, \sigma = 3.5$

What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?

This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

$Z = \frac{X - \mu}{\sigma}$

$2.327 = \frac{X - 12}{3.5}$

$X - 12 = 2.327*3.5$

$X = 20.1445$

1 + 20.1445 = 21.1445

The value is c = 21.1445.

7 0

3 years ago

The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo: A graph is shown. The x-axis is labele

denpristay [2]

(0,0),(1,3)
slope = (3 - 0) / (1 - 0) = 3/1 = 3

y = mx + b
slope(m) = 3
y int (b).....this is when x = 0...u have point (0,0)...this means ur y int is 0
now sub
y = 3x + 0 which can be written as y = 3x <===

7 0

3 years ago

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