Which statement about this figure is true?

Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 6 hours. Hose A filled the pool alo

Naddik [55]

Answer:

18 hours

Step-by-step explanation:

Let the volume of the pool be x. Since pipe A filled the pool in 6 hours, the rate of pipe A = x / 6.

Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3). hence the total time is:

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

x/3 + x/2 + 3y = x

Multiply through by 6:

2x + 3x + 18y = 6x

5x + 18y = 6x

18y = x

y = x/18

The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone

8 0

4 years ago

Which of these is the measure of AGE

ankoles [38]

Step-by-step explanation:

A person's chronological age is the time since birth, normally measured as the exact number of years or the completed number of years.

Mark me as brainliest

8 0

3 years ago

Matthew has $1,500 in his savings account. Currently, he pays $20 each month for an

____ [38]

Answer: 30 months

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Matthew's saving account money (1500) must be equal to the product of the amount he pays per month for the app subscription (20) and the number of months (x); plus the product of the amount he pays per month for the Italian restaurant subscription (30) and the number of months (x).

1500= 20x+30x

Solving for x:

1500=50x

1500/50 =x

30 months =x

Feel free to ask for more if needed or if you did not understand something

4 0

3 years ago

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa

11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 7 parts

r = number of success = fewer than 2

p = probability of success which in our question is % of defective

parts produced by one of the machine, i.e; 19%

LET X = Number of parts that are defective

So, it means X ~ Binom(n = 7, p = 0.19)

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

= $\binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}$

= $1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}$

= 0.604

Therefore, the probability that fewer than 2 of these parts are defective is 0.604.

8 0

3 years ago

12. Assume that a sample is used to estimate a population mean. Use the given confidence level and Sample data to find the margi

Serhud [2]

Step-by-step explanation:

Margin of error = critical value × standard error

ME = CV × SE

At 95% confidence and 20 degrees of freedom, CV = 2.086.

SE = s / √n

SE = 0.16 / √21

SE = 0.035

So the margin of error is:

ME = 2.086 × 0.035

ME = 0.073

5 0

4 years ago