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3 years ago

A map's scale is 1 inch : 2.4

Mathematics

1 answer:

QveST [7]3 years ago

3 0

12 miles

If 1 inch equals 2.4 miles on an actual scale, then 5 inches would be 2.4 • 5 which equals 12 miles.

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Please help me i rlly need help

Mumz [18]

Answer:

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

$\frac{y_{2}-y_{1} }{x_{2} - x_{1}}$

Substitute in the values;

$x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8$

$\frac{8-5}{3-2}$

simplify;

$\frac{3}{1}$

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

5 0

3 years ago

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t

Angelina_Jolie [31]

Answer:

$P(X = 0) = 0.027$

$P(X = 1) = 0.189$

$P(X = 2) = 0.441$

$P(X = 3)= 0.343$

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each $x \leq n$ , the probability mass function is given by:

$P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}$

In which p is the probability that the event happens.

$pe_{n,x},$ is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

$pe_{n,x} = \frac{n!}{x!}$

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so $n = 3$

The probability that a wafer pass a test is 0.7, so $p = 0.7$

Determine the probability mass function of the number of wafers from a lot that pass the test.

$P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027$

$P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189$

$P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441$

$P(X = 3) = (0.7)^{3} = 0.343$

5 0

4 years ago

Lindsey Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 864 po

andreev551 [17]

Answer:

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

Number of free throws = 3(85)- 32 = 223

Step-by-step explanation:

Given that :

2 point goals

Number of 3 point goals = x

Number of 2 point goals = 3x - 62

Number of free throws = 3x - 62 - 30 = 3x - 32

3x + 2(3x - 62)+ 3x - 32= 864.

3x + 6x - 124 + 3x - 32 = 864

12x = 864+ 124 + 32

12x =1020

x = 1020 / 12

x = 85

Number of 3 point goals = 85

Number of 2 point goals = 3(85) - 62 = 193

Number of free throws = 3(85)- 32 = 223

3 0

3 years ago

A gray crayon is made with 5\text{ mL}5 mL5, space, m, L of black wax for every 6\text{ mL}6 mL6, space, m, L of white wax.

zloy xaker [14]

The correct answers are B and C.

Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.

A does not work; 10 is 5*2 and 24 is 6*4. These won't be in the same ratio.

B works; 15 is 5*3 and 18 is 6*3. These have the same ratio.

C works; 35 is 5*7 and 42 is 6*7. These have the same ratio.

D does not work; 26 is not a multiple of 6.

E does not work; 45 is 5*9 and 48 is 6*8. These will not have the same ratio.

8 0

3 years ago

Read 2 more answers

Find the indicated term of the sequence whose nth term is given by the formula.

Kruka [31]

Answer:

a 12= − 3 n 2 − n

Step-by-step explanation:

3 0

3 years ago