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3 years ago

If B = {−13, −9, −7, −3}, choose the set A that will make the following statement false.

Mathematics

1 answer:

Svetach [21]3 years ago

5 0

Answer: c.A is the set of rational numbers

Step-by-step explanation:

B ⊆ A means that every element of B is an element of A

B = { -13 , -9 , -7 , - 3 }

The element of B are negative integers , this mean that the element of A must also be integers therefore :

Option a is correct.

Option b is also correct

Rational numbers are numbers that can be express in the form a/b , examples are : 1/2 , 3/ 4 , 5/6 ...

clearly , this does not necessarily define A , so option c is the odd one out

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3 Parts with a picture. Thanks!

tatuchka [14]

We have $8.50 an hour gross minus $2.15 an hour tax and bennys. Then $3.75 daily expense. In one week our net take-away y after x hours is

y = x(8.50 - 2.15) - 5(3.75)

That's the answer, or we can simplify it to

Answer: y = 6.35 x - 18.75

Answer: The slope, 6.35, is the net dollars per hour <em>before weekly expenses.</em>

Answer: The y intercept, -18.75, is the weekly expense, negative because it's an expense.

To make $120 in a week, we solve for x where y=120

120 = 6.35x - 18.75

138.75 = 6.35 x

x = 138.75 / 6.35 = 21.8503937007874

That wasn't the nice round number I was expecting/hoping for. I don't see a mistake so let's go with

Answer: 21.85 hours to make $120

7 0

3 years ago

Suppose that a regression line for some data transformed with logarithms predicts that when x equals 6, log(y) will equal 2.012.

KIM [24]

Answer:

102.8

Step-by-step explanation:

If log₁₀y = 2.012, y = 10^2.012 = 102.8

8 0

3 years ago

Read 2 more answers

A trough is 8 feet long and has perpendicular cross section in the shape of an isosceles triangle (point down) with base 1 foot

murzikaleks [220]

Answer:

Dh/dt = 0.082 ft/min

Step-by-step explanation:

As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of 1 feet and height h = 2 feet.

The volume of a circular cone is:

V(c) = 1/3 * π*r²*h

Then differentiating on both sides of the equation we get:

DV(c)/dt = 1/3* π*r² * Dh/dt (1)

We know that DV(c) / dt is 1 ft³ / 5 min or 1/5 ft³/min

and we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment

By proportion we know

r/h ( at the top of the cone 0,5/ 2) is equal to r/0.5 when water is 1/2 foot deep

Then r/h = 0,5/2 = r/0.5

r = (0,5)*( 0.5) / 2 ⇒ r = 0,125 ft

Then in equation (1) we got

(1/5) / 1/3* π*r² = Dh/dt

Dh/dt = 1/ 5*0.01635

Dh/dt = 0.082 ft/min

4 0

3 years ago

Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

$E(x) = \sum x* P(x)$

So, we have:

$E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2$

This gives

$E(x) = 2.7$

Next, calculate E(x^2) using:

$E(x^2) = \sum x^2* P(x)$

So, we have:

$E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2$

$E(x^2) = 9.5$

The variance is then calculated as:

$Var(x) = E(x^2) - (E(x))^2$

So, we have:

$Var(x) = 9.5 - 2.7^2$

$Var(x) = 2.21$

Approximate

$Var(x) = 2.2$

Hence, the variance of the data is 2.2