HELLO CAN ANYONE PLZ HELP ME WITH part (4) and part (2) plz and thank you I’m and a rush!!! Thanks

a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio

wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0

3 years ago

Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis

katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

$\frac{1}{\lambda} = 13$

$\lambda = \frac{1}{13}$

As we know,

The cumulative distributive function will be:

⇒ $1-e^{-\lambda x}$

hence,

In the first 5 years, the probability of failure will be:

⇒ $P(X$

$=1-e^{-(\frac{1}{13} )\times 5}$

$=1-e^(-\frac{5}{13})$

$=1-0.6807$

$=0.3193$

3 0

3 years ago

A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3

finlep [7]

The complete question is
A colony of 2^120 bacteria occupies a total volume of 1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. 
Complete parts (a) and (b) below. 

a) Assume that the bacteria are distributed uniformly over the planet's surface. How deep would the bacterial layer be? (You can find the approximate depth by dividing the bacteria volume by the planet's surface area.) 
____m 

b) Would the bacteria be knee-deep, more than knee-deep, or less than knee-deep? 

A. The bacteria would be less than knee-deep. 
B. The bacteria would be more than knee-deep. 
C. The bacteria would be knee-deep. 
D. It depends on the height of the person

Part a)
Find the approximate depth
= (bacteria volume / planet surface area) 
= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) 
= 2.4 m

the answer Part a) is
2.4 m

Part b)
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height.
2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans

therefore

the answer part b) is the option
D. It depends on the height of the person

8 0

2 years ago

Triangle ABC and DEF are right triangles, as shown. Triangle ABC is similar to triangle DEF. which ratios are equal to sin C?

Dafna11 [192]

Answer:

First option and Fourth option.

Step-by-step explanation:

To solve this exercise you need to use the following Trigonometric Identity:

$sin\alpha=\frac{opposite}{hypotenuse}$