Write an equation for a line perpendicular to y= -4x +2 and passing through the point (12,6)

Can you plz help out

Archy [21]

Try this option:

1) q: What is the slope of the line and what does it mean in this situation?

a: the slope is 2.5 and it means 'ammount of the rain is 2.5 mm. per hour'.

2) the slope of the line is '2.5'

3) this means that '2.5' mm. of the rain falls every '1' hour.

5 0

3 years ago

Given that ∠A≅∠B , Gavin conjectured that ∠A and ∠B are complementary angles.

Pani-rosa [81]

Given ∠A≅∠B which means A and B are congruent, so A and B should have same value.

and also given that A and B are complementary angles which mean ∠A+∠B=90°

Now to find counterexample to Gavin's statement, we should find two angles satisfying ∠A≅∠B and contradicting ∠A+∠B = 90°

Let us check given options:-

A) since A and B are not equal, it is contradicting the first statement itself.

B) Here ∠A=25 = ∠B , hence it is satisfying congruent condition.

Let us check they are complementary or not by adding them.

∠A+∠B = 25°+25° = 50° ≠90°

Which means it is an counter example to Gavin's statement which tells that two congruent angles need not be complementary.

C) since A and B are not equal, it is contradicting the first statement itself.

D) Here ∠A=45°=∠B, hence it is satisfying congruent condition.

And ∠A+∠B = 45°+45° = 90°

Hence this is not an counter example.

4 0

3 years ago

The weights of ice cream cartons are normally distributed with a mean weight of 8 ounces and a standard deviation of 0.4 ounce.

Alla [95]

Answer:

a) 0.373 probability that a randomly selected carton has a weight greater than 8.13 ounces

b) 0.097 probability that mean weight of 16 randomly selected carton is greater than 8.13 ounces

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8 ounces

Standard Deviation, σ = 0.4 ounce

We are given that the distribution of weights of ice cream cartons is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(weight greater than 8.13 ounces)

P(x > 8.13)

$P( x > 8.13) = P( z > \displaystyle\frac{8.13 - 8}{0.4}) = P(z > 0.325)$

$= 1 - P(z \leq 0.325)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.627 = 0.373 = 37.3\%$

b) P(weight of 16 randomly selected cartons is greater than 8.13 ounces)

P(x > 8.13)

$P( x > 8.13) = P( z > \displaystyle\frac{8.13 - 8}{\frac{0.4}{\sqrt{16}}}) = P(z > 1.3)$

$= 1 - P(z \leq 1.3)$

Calculation the value from standard normal z table, we have,

$P(x > 8.13) = 1 - 0.903 = 0.097 = 9.7\%$

5 0

3 years ago

Divide.

kakasveta [241]

C. 17 r 1 is the correct answer

6 0

4 years ago

State the explicit form of the pattern: 4, 9, 14, 19, ... A) an = n + 5 B) an = 2n - 5 C) an = 2n - 1 D) an = 5n - 1

hichkok12 [17]

Answer:

(D) an = 5n - 1

Step-by-step explanation:

The sequence is generated by substituting a value for n.

The first term of the sequence is 4

So when n = 1

The formula is an = 5n - 1

a1 = 5(1) - 1

a1 = 5 - 1

a1 = 4

The second term of the sequence is 9.

So n = 2

a2 = 5(2) - 1

a2 = 10 - 1

a2 = 9

To find the next value you just have to substitute the next value for n.

5 0

3 years ago