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3 years ago

4) Suppose y varies inversely with the SQUARE ROOT of x.

Mathematics

1 answer:

Savatey [412]3 years ago

7 0

Answer:

Variation equation: y = k/√x

constant of variation: 200

Variation Equation by plugging the value of k: y = 200/√x

Step-by-step explanation:

If y varies inversely with the SQUARE ROOT of x, then;

y = k/√x

If x = 4, y = 100.

100 = k/√4

100 = k/2

200 = k

k = 200

Substitute into the expression

y = k/√x

y = 200/√x

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In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quali

Leviafan [203]

Answer:

The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088

Step-by-step explanation:

Given that:

Probability of manufacturing a defective mirror = 0.075

To find the probability that the 3rd defective mirror is the 10th mirror examined:

Let X be the random variable that follows a negative Binomial expression.

Then;

$X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}$

$= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}$

$= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}$

$= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}$

$= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}$

= 0.0087999

≅ 0.0088

5 0

2 years ago

forty-seven marbles are shared between some children. each child receives six marbles and there are five marbles left over. how

Nadya [2.5K]

The total number of children can be calculated using linear equation in one variable. The marbles are shared among 7children.

<u>Solution</u>

Total number of marbles = 47

The number of marbles received by each child = 6

Let the number of children be x

Then according to the question'

Total number of marbles received by all children + 5 = Total number of marbles

6x + 5 = 47

6x = 47- 5

6x = 42

x = 7

now, the number of children is 7.

<h3>What is linear equation in one variable?</h3>

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
Here, the variables x and y, the coefficients A and B, and the constant C are all present.
A linear equation's graph will always be a straight line.
One-variable linear equations are fairly simple to solve. To determine the value of the unknown variable, the variables are divided and placed on one side of the equation, and the constants are combined and placed on the other side.

Know more about linear equation brainly.com/question/12974594

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6 0

1 year ago

Need help with problem 5, Thank you!<br><br><br> Sorry for the glare

MAXImum [283]

Answer:

x = 57

Step-by-step explanation:

A triangles degrees add up to 180

67 + 56 = 123

180 - 123 = 57

6 0

2 years ago

Can a pentagon be a cross section of a triangular prism?

nikitadnepr [17]

Answer:

<em>No</em>, a pentagon can NOT be a cross-section of a triangular prism.

Step-by-step explanation:

Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross section of a triangular prism is a triangle. The only prism with a pentagon cross-section is a pentagonal prism.

3 0

3 years ago

It’s length is 31 feet and it’s width is 24 feet. Suppose each pack of seed covers 12 square feet. How many pack of seed will he

OverLord2011 [107]

Answer:
62 packets

Steps:
31*24= 744
744/12= 62

6 0

2 years ago