Will someone please help me solve this problem.​

Answer:

45; 9

Step-by-step explanation:

1) if the rate of the boat in still water is 'b' and the rate of the current is 'c', then it is possible to write the rate of the boat going upstream: b-c, downstream: b+c.

2) the basic formula is: D=r*t, where D - distance, r - rate/velocity, t - time;

3) according to the condition it takes 3 hours to travel 108 km upstream, it means according to  the formula above 3(b-c)=108;

4) according to the condition it takes 2 hours to travel 108 km downstream, it means according to the formula above 2(b+c)=108;

5) if to make up the system of two equations, then:

[tex]\left \{ {{3(b-c)=108} \atop {2(b+c)=108}} \right. \ => \ \left \{ {{b=45} \atop {c=9}} \right.[/tex]

6) rate of the boat in still water: 45 km/h;

rate of the current: 9 km/h.

Answer:

Variance: 322.4479999999996

Standard Deviation: 17.956837137981722

Answer:

a= x= 3, -1

b= x=1

c= (1, -8)

Step-by-by-step explanation:

For the show your work, you have to create the graph of the parabola. (attached image)

Answer:

D

Step-by-step explanation:

hope this helps >.<

Answer:

the answer is one and five eights

Step-by-step explanation:

1 7/8 - 2/8 = 1 5/8

Answer:

The answer is A

Step-by-step explanation:

1 7/8 - 2/8 = 1 5/8

pls mark me as brainlest

Answer:

C: 140ft

I hope it helps

Answer:

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Step-by-step explanation:

To solve this question, we should understand the exponential distribution and conditional probability.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

The average waiting time for this distribution is 38 minutes.

This means that [tex]m = 38, \mu = \frac{1}{38} = 0.0263[/tex]

Given that it has already taken 37 minutes, what is the probability that the wait time will be more than an additional 41 minutes?

Event A: Taking more than 37 minutes.

Event B: More than 37 + 41 = 78 minutes.

Probability of taking more than 37 minutes:

[tex]P(A) = P(X \leq 37) = 1 - e^{-0.0263*37} = 0.6221[/tex]

More than 37 minutes and more than 78 minutes:

The intersection is more than 78 minutes, so:

[tex]P(A \cap B) = P(X > 78) = e^{-0.0263*78} = 0.1286[/tex]

The probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1286}{0.6221} = 0.207[/tex]

0.207 = 20.7% probability that the wait time will be more than an additional 41 minutes

Answer:

3

Step-by-step explanation:

edge

Answer:

C. 3

Explanation:

edge 2020

Answer:

4000÷9 the answer it gaves for one you add it to the 4000

Answer:

$0.30 per ounce

Step-by-step explanation:

16 ounces per pound

16 x 2 = 32 ounces per 2 pounds

9.60/32 = $0.30 per ounce

Answer:

- 18

Step-by-step explanation:

arithmetic  sequences are in form:

a(n)=a(o)+d(n-1)

sum are in form:

s(n)=[a(0)+a(n)](n/2)

three middle terms is:

10th, 11th, 12th term

How to think: 21 = 10+1+10 --> middle 3 is 10,11,12

sum of these 3 terms:

a(10)+a(11)+a(12)

=a(o)+9d+a(0)+10d+a(0)+11d

=3a(0)+30d=126

a(0)+10d=42 ......(equation 1)

Last three terms is:

19th, 20th, 21th

a(19)+a(20)+a(21)

=a(0)+18d+a(0)+19d+a(0)+20d

=3a(0)+57d=288

a(0)+19d=96 ......(equation 2)

now you have

a(0)+10d=42 ......(equation 1)

a(0)+19d=96 ......(equation 2)

solve and gives

d=6

a(0)= -18

Answer:

15 rides

Step-by-step explanation:

29.50 - 7 = 22.50

22.50 / 1.50 = 15

Answer:

i don't know sorry b a b y g i r l

Step-by-step explanation:

Answer:

Carlos saved 17 dollars.

Step-by-step explanation:

15% of $20.00 = $3.00

Given:

The function is

[tex]f(x)=(x+7)(x+11)[/tex]

To find:

The shape and direction of the given function.

Solution:

We have,

[tex]f(x)=(x+7)(x+11)[/tex]

It can be written as

[tex]f(x)=x^2+11x+7x+77[/tex]

[tex]f(x)=x^2+18x+77[/tex]

It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.

The leading coefficient is positive so the parabola opens upward.

Therefore, the given function is a vertical parabola that opens upward.

Answer:

36g + 44

Step-by-step explanation

20+4g+8(4g+3) =

8(4g+3) : 32g + 24 =

20+4g+32g+24 =

20+4g+32g+24 = 36g + 44

I hope this helps you! Have a great day :)

Answer:

76.7

Step-by-step explanation:

11.3(3) + 10.7(4) = __ + 42.8

Multiply values

33.9 + 42.8 = __ + 42.8

The missing value is 33.9!

42.8 + 33.9 = 76.7

Answer:

the answer is b

Step-by-step explanation:

brainliest pleasee?

Answer:

The slope is undefined because there is no change in x, making it a vertical line

Step-by-step explanation:

Answer:

United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.

Step-by-step explanation:

Hope It Helps :)

Answer:

6

Step-by-step explanation:

4/5=80%

1/8=12.5%

80÷12.5=6.4

Answer:

A = 180m²

Step-by-step explanation:

To find the area of the bottom rectangle subtract the height of the top rectangle. Hope that makes sense if you want a another just ask.

Answer:

3339/2=1669.5

Step-by-step explanation:

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, [tex]\bar{x}_{1}[/tex] = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, [tex]\bar{x}_{2}[/tex] = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

[tex]\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ [tex]t_{\alpha /2}[/tex] = 3.25

Therefore, we have;

[tex]\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}[/tex]

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L