Y is inversely proportional to x when y=30 x=6 work out the value of y when x is 12

tina has 3 red pens and 2 black pens in the bottom of her book bag.she randomly selects a pin to use then puts it back in her ba

Agata [3.3K]

Answer:

the probability that this girl pulls out a red pen is 3/5 or 60%

Step-by-step explanation:

there are 3 red pens

and 2 black pens.

that means there are 5 pens

so when she reaches down. she can pick up 3 out of the 5 pens

6 0

4 years ago

Hannah went to dinner with 3 friends. They split the entire bill and each person paid $5 for tip. Hannah paid $18. What was the

Luda [366]

3*18 =3*5 +bill

54 = 15 + bill

39 = bill

6 0

3 years ago

Given: AB = 12 AC = 6 Prove: C is the midpoint of AB.

Andrew [12]

Answer:

Line AC is the half of libe AB

Step-by-step explanation:

Let's define a midpoint.

Mid point it the point or line that divides a line in to two equally parts.

So if line AB = 12

The midpoint with any dimensions should be a line that divides it into two.

12/2 = 6

So the midpoint is a line that lies at the point of 6

So dimensions l of AC = 6

AC is the midpoint of AB

So it means that C i.e point C is the midpoint of line AB

making line AC the half of line AB

6 0

4 years ago

Please, somebody, solve this quick and reply with step by step explanation AND provide all steps of working!

Alexxx [7]

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

7 0

3 years ago

Customers experiencing technical difficulty with their Internet cable hookup may call an 800 number for technical support. Itake

Paladinen [302]

Answer:

(A) The percent of the problems takes more than 5 minutes to resolve is 60.87%.

(B) The problem solving time will be 50% as long as the difference between the two end points is 5.75.

(C) a = 0.50 minutes, b = 12 minutes.

(D) Mean = 6.25 minutes, Standard deviation = 3.32 minutes

Step-by-step explanation:

Let the random variable X represent the time it takes the technician to resolve the problem.

The random variable X follows an Uniform distribution with parameters a = 0.50 minutes and b = 12 minutes.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

(A)

Compute the probability that the problems takes more than 5 minutes to resolve as follows:

$P(X>5)=\int\limits^{12}_{5}{\frac{1}{12-0.50}}\, dx$

$=\frac{1}{11.50}\cdot \int\limits^{12}_{5}{1}\, dx \\\\=\frac{1}{11.50}\cdot [x]\limits^{12}_{5}\\\\=\frac{1}{11.50}\cdot [12-5]\\\\=\frac{7}{11.50}\\\\=0.608696\\\\\approx 0.6087$

Thus, the percent of the problems takes more than 5 minutes to resolve is 60.87%.

(B)

Let the middle 50% of the problem-solving times be between u and v.

Then,

P (u < X < v) = 0.50

$\int\limits^{v}_{u}{\frac{1}{12-0.50}}\, dx=0.50\\\\\frac{1}{11.50}\cdot \int\limits^{v}_{u}{1}\, dx=0.50\\\\\frac{v-u}{11.50}=0.50\\\\(v-u)=5.75$

Thus, the problem solving time will be 50% as long as the difference between the two end points is 5.75.

(C)

The interval in which the technician can solve the problem is 30 seconds to 12 minutes.

So, the values of a and b in minutes is:

a = 30 seconds = 0.50 minutes

b = 12 minutes.

(D)

The mean time is:

$\mu=\frac{a+b}{2}=\frac{0.50+12}{2}=6.25\ \text{minutes}$

The standard deviation of the time is:

$\sigma=\sqrt{\frac{(b-a)^{2}}{12}}=\sqrt{\frac{(12-0.50)^{2}}{12}}=3.3197\approx 3.32\ \text{minutes}$

5 0

3 years ago