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Nikolay [14]
3 years ago
15

Y ∝ 1 √ x If y = 5 when x = 49 find, y when x = 25

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

<u>Answer:</u>

y = 1/7

<u>Step-by-step explanation:</u>

  • y ∝ 1/√x  ⇒  y = k/√x
  • y = 5, x = 49  ⇒  5 = k/√49  ⇒  5 = 7k  ⇒  k = 5/7
  • y = 5/(7√x) ⇒  x = 25  ⇒  y = 5/(7√25) = 5/(7·5) = 1/7

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Ryan bought fishing gear, they cost 51.50,14.99,and 5.79. The sales tax was calculated by multiplying the total cost of the fish
wlad13 [49]

Answer: 76.28 approximately 76

Step-by-step explanation:

Ryan bought fishing gear for 51.50, 14.99 and 5.79.

Total fishing gear bought will be the addition of the 3 fishing gear.

51.50 + 14.99 + 5.79= 72.28

The sales tax is the multiplication of the total fishing gear by 0.05

= 72.28 × 0.05

= 3.614 which is approximately 4

Amount paid by Ryan will be

Total fishing gear + Sales tax

= 72.28 + 4

= 76.28 approximately 76.

3 0
3 years ago
A researcher is studying the monthly gross incomes of drivers for a ride sharing company. (Gross incomes represent the amount pa
Reptile [31]

Answer:

The histogram of the sample incomes will follow the normal curve.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the researches wants to determine the monthly gross incomes of drivers for a ride sharing company.

He selects a sample of <em>n</em> = 200 drivers and ask them their monthly salary.

As the sample selected is quite large, i.e. <em>n</em> = 200 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample mean by the Normal distribution.

Thus, the histogram of the sample incomes will follow the normal curve.

8 0
3 years ago
8. Calculate Cell A normally divides once every two days. If its control mechanisms aren't working correctly, cell A divides six
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5 0
2 years ago
Given vectors a and b, which operation does the green vector show? options: 2a + b
monitta
If we treat  b sliding vector, then head of green vector coincide with tail of b vector. So,in this Senior a is acting as a resultant vector. To get this resultant  vector a, the green vector must be a-b.<span />
6 0
3 years ago
PLEASE HELP I HAVE 10 MINUTES LEFT
Lena [83]

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

4 0
3 years ago
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