⦁ The weekly sales of ABM students on their "Go Negosyo" project are normally distributed with mean of P3,200 and standard deviation of P500. What percent of their weekly sales are over P4,000? A. 94.52% (B). 77.34% C. 5.48% D. 22.57%

Answer:

Factored form: [tex](x-3)(x+1)(x^2+9)[/tex]

Expanded form: [tex]x^4-2x^3+6x^2-18x-27[/tex]

Step-by-step explanation:

[tex](x-3)(x+1)(x^2+9)[/tex]

[tex](x^2-2x-3)(x^2+9)[/tex]

[tex]x^4+9x^2-2x^3-18x-3x^2-27[/tex]

[tex]x^4-2x^3+6x^2-18x-27[/tex]

[tex]x-3=0[/tex] has a solution of [tex]x=3[/tex]

[tex]x+1=0[/tex] has a solution of [tex]x=-1[/tex]

[tex]x^2+9=0[/tex] has a solution of [tex]x=\pm 3i[/tex]

The equation that represents they function f(x) = (1.6)^x after it has been translated 5 units up and 9 units to the right is;

g(x) = [(1.6)^(x - 9)] + 5

We are given the function;

f(x) = (1.6)^x

Now,when we translate a function 9 units to the right, it means that we will subtract 9 from the x unit to give;

g(x) = (1.6)^(x - 9)

Now, when we translate it 5 units upwards, it means we are adding 5 to f(x). Therefore, we now have;

g(x) = [(1.6)^(x - 9)] + 5

Read more on translation of graphs at; https://brainly.com/question/11468584

Answer:

d

Step-by-step explanation:

use Pythagoras theorem

that is a²+b²=c²

so 4.5²+b²= 18²

rearrange to b²=18²-4.5²

so you get b=

[tex] \sqrt{303.75} [/tex]

that is equal to 17.42842506

Answer : 0.06 liters per bottle

Step - by - step explanation :

3 liters divided by 50 bottles = 0.06 liters per bottle

[ Sorry if this wasn't what you meant when you asked the question ]

Happy holidays ! :3

Answer:

[tex]x^{2} -pqx+pq[/tex]

Step-by-step explanation:

Answer:

$10.60

Step-by-step explanation:

Sarawong ends with $11.40, and we need to find his weekly allowance by working backward. First, we learn that he earned $6.10 of that total amount of money by washing the dog, so we can subtract the two values:

11.4 - 6.1 = 5.3

So, before washing the dog, Sarawong had $5.30. But he only received this after spending half of his weekly allowance, so $5.30 must be half of his weekly allowance. If we multiply $5.30 by 2, we should be able to find his weekly allownce.

5.3 × 2 = 10.6

Now, we can check our work. First, he spends half of his weekly allowance on candy. Half of 10.6 is 5.3, so he now has $5.30. Then, he earns $6.10 more by washing the dog. 5.3 + 6.1 = 11.4, which is the ending value. So, our work was correct! Hopefully that's helpful. :)

Answer:

k < -4 or k > 13

Step-by-step explanation:

Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.

Hopes this helps.

Answer:

13

Step-by-step explanation:

using BODMAS

13-11=2

SO 2*2=4

4/4=1

1*72=72

THEREFORE it is 85-72 =13

Answer:

I don't know if i did this correctly because i can't find my notes but i hoped i helped.

Step-by-step explanation:

Answer:

y=-3

x=3

Step-by-step explanation:

x=-2y

x-y=9

substitute -2y for x in the second equation

you get:

-2y-y=9

combine like terms

-3y=9

divide by -3 on both sides

y=-3

Answer:

The value of n is 5.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

Solution :

By using the transposition method. we get,

[tex]{\dashrightarrow{\tt{3n + 2 = 17}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 17 - 2}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 15}}}[/tex]

[tex]{\dashrightarrow{\tt{n= 15 \div 3}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \dfrac{15}{3}}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}[/tex]

[tex]{\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}[/tex]

Hence, the value of n is 5.

[tex]\rule{300}{1.5}[/tex]

Solve : 3n + 2 = 17

n = 5

=> 3n + 2 = 17

=> 3n = 17-2

=> 3n = 15

=> n = 15/3

=> n = 5

Step-by-step explanation:

just want your ponit hahahaHA

Answer:

38cm squared

Step-by-step explanation:

Answer:

12.5 pounds

Step-by-step explanation:

16 ounces = 1 pound

200 ounces = 1 × 200/16 = 12.5 pounds

Answer:

4x^2-8x+244

Step-by-step explanation:

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

Answer:

2 : 3 is ur ratio

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

m=0

b=3

Answer:

Step-by-step explanation:

or

Step-by-step explanation:

Pythagoras :

c² = a² + b²

c is the Hypotenuse (side opposite of the right angle), which is in our case the distance of the 2 cars.

after 2 hours the east car was driving x miles. and the south car was driving x + 2×25 = x + 50 miles.

x² + (x + 50)² = 250²

x² + x² + 100x + 2,500 = 62,500

2x² + 100x = 60,000

x² + 50x = 30,000

x² + 50x - 30,000 = 0

the solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 50

c = -30,000

x = (-50 ± sqrt(2500 - 4×1×-30000))/(2×1) =

= (-50 ± sqrt(2500 + 120000)/2 =

= (-50 ± sqrt(122500))/2 = (-50 ± 350)/2 =

= -25 ± 175

x1 = -25 + 175 = 150 miles

x2 = -25 - 175 = -200 miles.

negative distances don't make any sense here in our scenario, so the solution is x = 150 miles.

therefore, the east car was going 75 mph (traveled in 2 hours 150 miles).

and the south car was going 75 + 25 = 100 mph (traveled in 2 hours 200 miles).

Answer:

4cm

Step-by-step explanation:

it this the answer you were looking for?

Answer:

91cm

Step-by-step explanation:

7m to cm =700m

28cm+700cm=728cm

728cm/8=91cm

Answer:

1 hour = $9.2

Step-by-step explanation:

The question says that:

Brody makes $78.20 in 8.5 hours.

So,

8.5 hours = $78.20

We need to find 1 hour pay.

So, divide both sides of the above equation by 8.5

8.5 / 8.5 hours = $78.20 / 8.5

1 hour = $9.2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

The type of laboratory that is not required to have coved floors is a BSL2.

Safety in laboratories is measured through the Biosafety Level scale. This scale evaluates how much protection do people working in the laboratory need to avoid any risks while working with pathogens or toxins.

This scale goes from 1 to 4 and the 4 level represents labs in which extremely dangerous pathogens are studied, and therefore labs with the highest safety protocols.

In this context, coved floors are not required for labs classified in Biosafety level 2 because in these labs pathogens have only a moderate risk, therefore some precautions such as the coved floors are not required.

Learn more about labs in: https://brainly.com/question/14428286

Answer:

B

Step-by-step explanation:

So a reflection over the x is a change in the y value.

Only point (2,0) is on the x-axis, so it will not move.

Answer:

20*2.5=50

50*0.75=37.5

Hope This Helps!!!

Answer:270

Step-by-step explanation:

Answer:

a. R>S

b. It means that R is to the right of S

c. City R is warmer

Step-by-step explanation:

Therefore, the answer is 3x - 2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

-3x-17

Step-by-step explanation:

We need to expand this term by multiplying a term and an expression.

The following product distributive property will be used:

.

In our example, the resulting expression will consist of 2 terms:

  the first term is a product of  and .

  the second term is a product of  and .

Therefore, one expression that is equivalent to 4(x + 1) - 7(x + 3) is -3x - 17.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer: 19 coins

Step-by-step explanation:

38-19=19

To check, take any one of the nubers and replace it with x, and when you solve for x. you'll get that number back. For example:

Let x represent the amount used to buy a notebook

19+x=38

x=38-19

x=19