Plz help me ASAP pls help

Answer:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

In this question:

The equation of the line is:

[tex]x + 5y = 50[/tex]

Placing in the standard format:

[tex]5y = -x + 50[/tex]

[tex]y = -\frac{x}{5} + 10[/tex]

The slope is [tex]-\frac{1}{5}[/tex]

Slope of the perpendicular lines:

[tex]-\frac{m}{5} = -1[/tex]

[tex]m = 5[/tex]

So

[tex]y = 5x + b[/tex]

Attributing two values to b:

[tex]y = 5x + 1[/tex] and [tex]y = 5x + 2[/tex] are two equations of lines that are perpendicular to the line whose equation is x + 5y = 50.

Answer:

The area would be 87.5

Step-by-step explanation:

Answer:

The LCM of 2,6,12 2 , 6 , 12 is 2⋅2⋅3=12 2 ⋅ 2 ⋅ 3 = 12 .

Step-by-step explanation:

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

I believe it is all real numbers

Answer:

C) 5/36

Step-by-step explanation:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Answer:

Now, suppose, dice 1 gives 2. Here also, dice 2 can be anything between 1 and 6. But, the sum of both the dices will be 8 only if dice 2 shows 6.

Similarly, now, if dice 1’s face is 3, sum will be 8 only if dice 2’s upper face shows 5.

If dice 1 shows 4, sum = 8 only if dice 2 is 4.

If dice 1 is 5, sum = 8 only if dice 2 is 3.

If dice 1 is 6, sum= 8 only if dice 2 is 2.

Therefore, sum will be 8 only 5 times. But, sample space consists of 36 values ( combination of values of dice 1 and dice 2).

Therefore, probability = 5/36.

Hope it helps.

Step-by-step explanation:

Answer:$39

Step-by-step explanation:

The discounted price is going to be 60% of the original price because 100 - 40 = 60. So we want to find 60% of the original price, or 65. 65 x . 6 = 39, so the pair of rollerskates will be $39 at the discounted price.

Answer:

0.2097 = 20.97% probability that your longest wait is less than 12 minutes

Step-by-step explanation:

To solve this question, we need to understand the uniform and the binomial distribution.

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a single bus having a waiting time of less than 12 times:

Uniformly distributed on the interval [0, 15] means that [tex]a = 0, b = 15[/tex]

[tex]P(X < 12) = \frac{12 - 0}{15 - 0} = 0.8[/tex]

What is the probability that your longest wait is less than 12 minutes?

This is the probability that all 7 buses have waiting time less than 12 minutes, which is [tex]P(X = 7)[/tex] when [tex]n = 7[/tex], with [tex]p = 0.8[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{7,7}.(0.8)^{7}.(0.2)^{0} = 0.2097[/tex]

0.2097 = 20.97% probability that your longest wait is less than 12 minutes

Answer:

P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12

Step-by-step explanation:

Answer:

I think the answer is $56,600

Step-by-step explanation:

I'm pretty sure you're just going to add $63,000+$8,400+$2,900+$1,1000. Then when you get a total of $75,400 and then I think you are going to subtract $15,400 from $75,400, you should get $60,000 then subtract $3,400 and you get $56,600.

Answer:

La tasa de porcentaje resulta de la división del valor de porcentaje (el dividendo) entre el valor base (el divisor) multiplicado por 100 %.

Answer: D is correct

Step-by-step explanation:

Answer:

C.   x > 0 and x ≤ 3

Step-by-step explanation:

0 < x ≤ 3

when  0 < x then x > 0

Example: 0 < 2 then 2> 0

Therefor

x > 0 and x ≤ 3

Answer:

10x-1y

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

.070

Step-by-step explanation:

Answer:

0.94

Step-by-step explanation:

5/11 is .455

11 total marbles 5 are green

but thats the probability of just one draw

so .455 x .455 x .455 is .094 for three separate draws

Answer:

The 5-ounce bottle for $3.49 is the best deal.

Step-by-step explanation:

Answer:

20 words with meaning

Step-by-step explanation:

Answer:

3(4+3x)

Step-by-step explanation:

See Image below.

Answer:

28π is the circumference

Step-by-step explanation:

Answer:

2/3 x + 20/21

Step-by-step explanation:

Answer:

Percentage = 35%

Step-by-step explanation:

Given the following data;

Mass of iron, I = 2.090 x 10^24 kg

Mass of Earth, E = 5.972 x 10^24 kg

To find the percentage mass of iron on Earth;

[tex] Percentage = \frac {I}{E} * 100 [/tex]

Substituting into the formula, we have;

[tex] Percentage = \frac {2.090 * 10^{24}}{5.972 * 10^{24}} * 100 [/tex]

[tex] Percentage = 0.350 * 100 [/tex]

Percentage = 35%

Answer:

I would go with the first one

Step-by-step explanation:

I put 4/3 x 3.14 x 6² on the calculator and it gave me 150.72 so A is the closest I'm not 100% sure but ye

Step 1

Now we need to make our denominators match.

6 goes into 3 evenly, so we only need to multiply one term to get a common denominator.

Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.

We now have a new problem, that looks like this:  4/6+4/6

Step 2

Since our denominators match, we can add the numerators.

4 + 4 = 8

That gives us the sum, which is 8/6

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

8/6÷ 2 = 4/3

Let's try dividing by that again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 4. So we're done reducing.

There you have it! Here's the final answer to 2/3 + 4/6

Answer:

Minimum: 1

Maximum: 16

Median: 8

First Quartile: 3

Third Quartile: 15

Interquartile range: 12

Step-by-step explanation:

9514 1404 393

Answer:

  4

Step-by-step explanation:

Put -6 where x is and do the arithmetic.

  f(x) = -x -2

  f(-6) = -(-6) -2 = 6 -2

  f(-6) = 4

Answer:

w < 15

Step-by-step explanation:

2(w+4) > 3w - 7

2w + 8 > 3x - 7

3w-2w = w

w - 7 < 8

w < 15

Answer: 9, it is the average of all the middle of all the numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

sorry i tried my best i think its like a 30

Answer:

a₂ = G(m₁ + m₂)/(R - √[G(m₁ + m₂)/a₁])²

Step-by-step explanation:

Since the gravitation force of attraction of the center of mass on m₁ equals the centripetal force, then

G(m₁ + m₂)m₁/R₁ = m₁a₁ where (m₁ + m₂) = total mass of the system and R₁ = distance of m₁ from the center of mass

So, G(m₁ + m₂)m₁/R₁² = m₁a₁

G(m₁ + m₂)m₁/m₁a₁ = R₁²

R₁² = G(m₁ + m₂)/a₁

R₁ = √[G(m₁ + m₂)/a₁]

The distance of m₂ from the center of mass is thus R₂ = R - R₁ = R - √[G(m₁ + m₂)/a₁] where R is the distance between the two stars.

Also,  the gravitation force of attraction of the center of mass on m₂ equals the centripetal force, then

G(m₁ + m₂)m₂/R₂ = m₂a₂ where (m₁ + m₂) = total mass of the system and R₂ = distance of m₂ from the center of mass

So, G(m₁ + m₂)m₂/R₂² = m₂a₂

G(m₁ + m₂)m₂/m₂R₂² = a₂

a₂ = G(m₁ + m₂)/R₂²

Substituting R₂ into the equation, we have

a₂ = G(m₁ + m₂)/(R - √[G(m₁ + m₂)/a₁])²

Answer:

Bank One is offering a simple interest rate of 6.25% per annum.

Step-by-step explanation:

Given that Bank One offers a certificate of deposit that pays $ 5,000 in four years for exchange for $ 4,000 today, to determine what interest rate is Bank One offering the following calculation must be performed:

(5000 - 4000) / 4 = X

1000/4 = X

250 = X

4000 = 100

250 = X

250 x 100/4000 = X

25000/4000 = X

6.25 = X

Therefore, Bank One is offering a simple interest rate of 6.25% per annum.

Answer:

$73.60

$345

simple interest = amount deposited x time x interest rate

600 + (600 x 0.055 x 5) = $765

600 + (600 x 0.055 x 5) > $2000

$765  $2000

He would not have $2000 in 5 years

Step-by-step explanation:

Total cost of items purchased = $75 + (2 x $8.50) = 92

If there is a 20% discount, he would pay (100 - 20%) 80% of the total cost =

0.8 x $92 = $73.60

commission earned = percentage commission x amount of sales

10% x $3450

= 0.1 x 3450 = 345

Amount he would have in his account = amount deposited + simple interest

simple interest = amount deposited x time x interest rate

600 x 0.055 x 5 = $165

Amount in his account in 5 years = $165 + 600 = $765

He would have less than $2000 in his account. he would have $765