A river flows due south at 1.4 mi/h. In what direction should the swimmer head, at a velocity of 3 mi/h, in order to arrive at a landing point due east of his starting point? (Round your answer to one decimal place.)

Answer:

Step-by-step explanation:

What number?

Answer:

50% of 120 is 60

Step-by-step explanation:

So 60 is half of 120, and 60 times 2 is 50 :)

(Brainliest?)

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Let x as that number ,

So :

[tex] \frac{50}{100} x = 60 \\ [/tex]

[tex] \frac{1}{2} x = 60 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{1}{2} x = 2 \times 60 \\ [/tex]

[tex]x = 120[/tex]

Thus that number is 120 .

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval of mean pulse rate for adult female is [tex]71.98 <  \mu <  79.88 [/tex]

The 95% confidence interval of mean pulse rate for adult male is  [tex]62.89 <  \mu <  70.57 [/tex]

The correct option is  C

Step-by-step explanation:

  Generally the sample mean for Male pulse rate is mathematically represented as

       [tex]\= x_1 = \frac{\sum x_i }{n}[/tex]

= >    [tex]\= x_1 = \frac{81 + 74 + \cdots + 59 }{40 }[/tex]

= >    [tex]\= x_1 = 66.73[/tex]

Generally the standard deviation for male pulse rate is mathematically represented as

      [tex]\sigma_1 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }[/tex]

=>   [tex]\sigma_1 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (74 - 66.73 )^2+ \cdot + (59 - 66.73 )^2 }{40-1 } }[/tex]

=>   [tex]\sigma_1 = 12.24[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma_1 }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{12.4 }{\sqrt{40} }[/tex]

=>    [tex]E =3.84 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x_1 -E <  \mu <  \=x_1  +E[/tex]

=>    [tex]66.73 -3.84 <  \mu < 66.73 +3.84 [/tex]

=>    [tex]62.89 <  \mu <  70.57 [/tex]

  Generally the sample mean for Female pulse rate is mathematically represented as

       [tex]\= x_2 = \frac{\sum x_i }{n}[/tex]

= >    [tex]\= x_2 = \frac{81 + 94 + \cdots + 73 }{40 }[/tex]

= >    [tex]\= x_2 = 75.93[/tex]

Generally the standard deviation for Female  pulse rate is mathematically represented as

      [tex]\sigma_2 = \sqrt{\frac{\sum (x - \= x)^2 }{n-1 } }[/tex]

=>   [tex]\sigma_2 = \sqrt{\frac{\sum (81 - 66.73 )^2 + (94 - 66.73 )^2+ \cdot + (73 - 66.73 )^2 }{40 } }[/tex]

=>   [tex]\sigma_2 = 12.73[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma_2 }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 *  \frac{12.73 }{\sqrt{40} }[/tex]

=>    [tex]E =3.95 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x_2 -E <  \mu <  \=x_2  +E[/tex]

=>    [tex]75.93 -3.95 <  \mu < 75.93 + 3.95 [/tex]

=>    [tex]71.98 <  \mu <  79.88 [/tex]

Answer:

-2/15

Step-by-step explanation:

Answer:

±94

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

x  (1st consecutive term)

x + 2 (2nd consecutive term)

Step 2: Set up equation

x(x + 2) = 2208

Step 3: Solve for x

Step 4: Identify Consecutive Integers

Possibility 1: x = -48

1st Consecutive Even Term: -48

2nd Consecutive Even Term: -48 + 2 = -46

Possibility 2: x = 46

1st Consecutive Even Term: 46

2nd Consecutive Even Term: 46 + 2 = 48

Step 5: Find sums

Possibility 1: x = -48

-48 + -46 = -94

Possibility 2: x = 46

46 + 48 = 94

Answer:

-3/4

Step-by-step explanation:

Answer:

B. 4/3

Step-by-step explanation:

The slope is rise over run or the change in y over the change in x. To find the slope count how many units y increases by then divide that by how many units x increases. In this graph y goes up by 4 and x increases by 3, so 4/3. Another way to find slope is the slope formula which is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], then plug in any two points and solve them.

Answer:

1/2

Step-by-step explanation:

Answer:

side 1: 10 = 15

side 2: 6 = 11

im not 100% sure this is correct

Step-by-step explanation:

13-8 = 5

so we add 5 on each side

10 + 5 = 15

6 + 5 = 11

Answer:

6

Step-by-step explanation:

U divide 18 by 3.

Answer:

9

Step-by-step explanation:

In slope-intercept form of linear equation y = mx + b , value of "b" is y-intercept.

Let solve 3x + 2y = 18 for "y"

2y = - 3x + 18

y = [tex]-\frac{3}{2}[/tex] x + 9 ⇒ 9 is y-intercept.

===========

There is another way to solve this kind of problems:

Coordinates of y-intercept are (0, y) .

3(0) + 2y = 18

2y = 18

y = 9

(0, 9)  

Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.

For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.

To tell when an equation in one variable has infinitely many solutions or no solution;

The condition for an equation with no solution warrants that the equation upon evaluation yields a false statement as in the case of 1 = 2. In this case, such an equation has no solution.

The condition for an equation with infinitely many solutions warrants that the equation upon evaluation yields a true statement as in the case of y + 5 = y + 5. In this case, such an equation has infinitely many solution.

Read more;

https://brainly.com/question/11966980

Answer:

A- The expression 3x represents the number of oranges that she bagged

B-  213 − 3x (or -3x + 213)

C- 213 − 3x < 51 (or -3x + 213 < 51)

D- x >54

E-Yes, I had to flip the inequality sign because I divided both sides of the inequality by a negative number (-3).

F- x > 54 means Theresa filled more than 54 bags of oranges. It makes sense because if Theresa made more than 54 bags of 3 oranges each, there would be fewer than 51 oranges left over.

G- Number 1 is correct.

Step-by-step explanation:

I did it./ Hope it helped : )

Answer:

everyone mark Praezhan brainleist thank you Praezhan so much

Step-by-step explanation:

Answer:

5x-27.95=profit

5(34)-27.95

170-27.95

$142.05

Answer:

3/5 = 6/10, which is 0.6 in decimal form

Answer:

Step-by-step explanation:

Let numbers be x and y

Then we have equations:

Comparing

Then, the larger number is

Answer:

b

Step-by-step explanation:

Answer: 11/10 is your answer

Step-by-step explanation: Hoped this helped

Answer:

1.1

Step-by-step explanation:

3/5 + 4/8 = 1.1

Answer:inversely proportional

Step-by-step explanation:

As the value of x increase the value of y decrease

Answer:

Step-by-step explanation:

From the given information:

[tex]R_{in} = ( \dfrac{1}{2} \ lb/gal) (6)\ gal /min \\ \\R_{in} = 3 \ lb/min[/tex]

Given that the solution is pumped at a slower rate of 4gal/min

Then:

[tex]R_{out} = \dfrac{4A}{100+(6-4)t}[/tex]

[tex]R_{out}= \dfrac{2A}{50+t}[/tex]

The differential equation can be expressed as:

[tex]\dfrac{dA}{dt}+ \dfrac{2}{50+t}A = 3 \ \ \ ... (1)[/tex]

Integrating the linear differential equation; we have::

[tex]\int_c \dfrac{2}{50 +t}dt = e^{2In |50+t|[/tex]

[tex]\int_c \dfrac{2}{50 +t}dt = (50+t)^2[/tex]

multiplying above integrating factor fields; we have:

[tex](50 +t)^2 \dfrac{dA}{dt} + 2 (50 + t)A = 3 (50 +t)^2[/tex]

[tex]\dfrac{d}{dt}\bigg [ (50 +t)^2 A \bigg ] = 3 (50 +t)^2[/tex]

[tex](50 + t)^2 A = (50 + t)^3+c[/tex]

A = (50 + t) + c(50 + t)²

Using the given conditions:

A(0) = 20

⇒ 20 = 50 + c (50)⁻²

-30 = c(50) ⁻²

c = -30 × 2500

c =  -75000

A = (50+t) - 75000(50 + t)⁻²

The no. of pounds of salt in the tank after 35 minutes is:

A(35) = (50 + 35) - 75000(50 + 35)⁻²

A(35) = 85 - [tex]\dfrac{75000}{7225}[/tex]

A(35) =69.6193 pounds

A(35) [tex]\simeq[/tex] 70 pounds

Thus; the number of pounds of salt in the tank after 35 minutes is 70 pounds.

The answer is 60 plz correct me

Answer:

$16.50 on 3 bags of dog food

Step-by-step explanation:

First you would do 27.50/5 to find out how much one bag costs.

The symbol  /  mean to divide. So 27.50 divided by 5 is 5.50. We need to know the ammount of 3 bags. Hence, we evaluate 3 times 5.50 which equals to our answer, $16.50 on 3 bags of dog food. I hope this will help you succeed!

9514 1404 393

Answer:

  ASA, SSS, SAS

Step-by-step explanation:

AAA is a postulate used to prove similarity. Congruence cannot be proved without including at least one side.

  ASA, SSS, SAS postulates can be used to prove congruence

Answer:

x = 2n - 4

Step-by-step explanation:

hope this helped have a great day

Answer:

The second one I believe

Answer:

4:3

Step-by-step explanation:

There are 8 yellow spots and 6 blue spots

8:6

We can divide each side by 2 since they are both even

8/2: 6/2

4:3

Answer:

4:3

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

[tex]1.75 \div 0.1 = 17.5[/tex]

Answer:

12950

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Pretty sure it's

D. None of the above