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siniylev [52]
3 years ago
7

Sheila either walks or cycles to school. The probability that she walks is 0.65, is she walks the probability she is late is 0.4

. If she cycles the probability that she is late is 0.1. Work out the probability that on any one day Sheila will not be late for school
Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0

Answer:

0.705

Step-by-step explanation:

From the question :

P(not being late) = p(walking and not late) + P(cycling and not late)

P(walking and not being late) = 0.65 * (1 - 0.4) = 0.65 * 0.6 = 0.39

P(cycling and not being late ) = (1 - 0.65) * (1 - 0.1) = 0.35 * 0.9 = 0.315

Hence,

P(not being late) = 0.39 + 0.315 = 0.705

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The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
zmey [24]
<h3>Answer:  72 people total</h3>

45 boys, 27 girls

============================================================

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0
3 years ago
De los 740 alumnos y alumnas que tiene el colegio, el 62% tienen los ojos marrones 31% azules y el resto verdes ¿ cuantos niños
MatroZZZ [7]

Answer:

I THIK TGE ANSWER IS 93%

Step-by-step explanation:

BECAUSE I DO IN PLUS

8 0
3 years ago
at a maximum speed, an airolane travels 1680 miles against the windin 5 hours. Flying with the wind, the plane can travel the sa
Licemer1 [7]

Answer:

Plane Speed (x) = 378 mph

Step-by-step explanation:

Equation

d = r * t

Givens

With the wind

  • d = 1680 miles
  • t = 4 hours
  • r = x + y

Against the wind

  • d = 1680
  • t = 5 hours
  • r = x - y

Equation

The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.

(x + y)*4 = (x - y)*5                   Remove the brackets on both sides

Solution

  • 4x + 4y = 5x - 5y                     Subtract 4x from both sides
  • 4y = -4x + 5x - 5y                    Combine
  • 4y = x - 5y                               Add 5y to both sides                      
  • 5y + 4y = x
  • x = 9y

Solution part 2

Now take one of the distance formulas and solve for x first then y.

  • (x - y)*5 = 1680               Substitute 9y for x
  • (9y - y)*5 = 1680             Subtract on the left
  • 8y * 5 = 1680                  Multiply on the left
  • 40y = 1680                     Divide by 40
  • y = 1680/40            
  • y = 42                             That's the speed of the wind.
  • (x - y)*5 = 1680               Substitute the wind speed for y
  • (x - 42)*5 = 1680             Divide both sides by 5
  • (x - 42) = 1680 / 5            Do the division on the right
  • (x - 42) = 336                   Add 42 to both sides.
  • x = 336 + 42
  • x = 378 mph                    Plane's speed

7 0
3 years ago
Brainliest for correct awnser! Over what interval is the function in this graph decreasing?
kenny6666 [7]

Answer:

Option (1)

Step-by-step explanation:

In the graph attached,

There are three intervals of the function graphed.

1st interval → -∞ < x < -3

2nd interval → -3 ≤ x ≤ 2

3rd interval → 2 < x < ∞

In the 1st interval, value of the function is constant. [represented by a straight horizontal line]

In the second interval, line graphed is slanting down. (slope of the line is negative).

Therefore, value of the function is decreasing in -3 ≤ x ≤ 2

In 3rd interval, slope of the line is positive. Therefore, function is increasing in the 3rd interval.

Option (1) will be the answer.

3 0
3 years ago
PLEASE I NEED TO FINISH THIS!!
PtichkaEL [24]
DE CHORD
Ab diameter
Cp radius
8 0
2 years ago
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