Pythagorean Theorem POSSIBLE POINTS : 13:33 Two joggers run 12 miles north and then 8 miles west. What is the shortest distance to reach their starting point? It irrational round to the nearest tenth of a mile.​

Answer:

The equation of line with slope -7 passing through (5,9) in point-slope form is:

[tex]y-9 = -7(x-5)[/tex]

Step-by-step explanation:

Given

Slope of line = m = -7

Point = (5,9)

The point slope form of equation is obtained from a point and slope. It is given by the equation:

[tex]y-y_1 = m(x-x_1)[/tex]

We know that (x1,y1) = (5,9)

Putting the values we get

[tex]y-9 = -7(x-5)[/tex]

Hence,

The equation of line with slope -7 passing through (5,9) in point-slope form is:

[tex]y-9 = -7(x-5)[/tex]

Answer:

srry but search 12 z6xs

Step-by-step explanation:

(a) The total interest that Ravi will have to pay is $120.  (b) The total repayment amount will be $920.

a) The interest rate is 5% per year, so Ravi will pay 5% * 800 = $40 per year in interest.

Since he borrowed the money for 3 years, he will pay a total of 3 * 40 = $120 in interest.

b) The total repayment amount will be the principal amount of $800 plus the interest of $120, for a total of 800 + 120 = $920.

Simple interest formula: I = P * r * t

Where:

I is the interest

P is the principal amount

r is the interest rate

t is the time in years

Interest per year: 5% * 800 = $40

Total interest: 3 * 40 = $120

Total repayment amount: 800 + 120 = $920

To learn more about interest here:

https://brainly.com/question/31135293

#SPJ2

Answer:

What is the L.C.M OF 8,

5 AND 9

Step-by-step explanation:

Answer:

We conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

Step-by-step explanation:

Given the initial function

{(-3, 7), (1, 5), (4, 13)}

We know that the given function indicates the relation in which each input has only one output.

i.e.

at x = -3, y = 7

at x = 1, y = 5

at x = 4,y = 13

Thus, it represents a function, becaus there is no repetitive inputs.

The only way the above function will no longer be a function we bring a point, adding of which makes the initial function having repetitive inputs.

i.e. if we add (1, 4) to the initial set, the relation will no longer be a function.

because induction of the point (1, 4) causes repetitive inputs because x = 1 is already present in the set.

so adding the point (1, 4)

{(-3, 7), (1, 4), (1, 5), (4, 13)}

Now, check the points (1, 4) and (1, 5).

It is clear that there are multiple outputs for x = 1. In other words, the input is no more a unique value as x=1 has been repeated multiple times.

Therefore, we conclude that if we add (1, 4) to this set, it prevents the set from representing a function.

Answer:

The value is  [tex]P(X \le 22) = 0.2[/tex]

Step-by-step explanation:

From the question we are told that

   The lower limit of the interval is  [tex]a = 20[/tex]

    The upper limit of the interval is  [tex]b = 30[/tex]

Generally the cumulative distribution function for uniform distribution is mathematically represented as  

   [tex]F(x) = \left \{ {{0 \ \ \ \ \ \ \ \ \ \ \ for x < a } \atop {\frac{x - a}{b-a} \ \ \ \ \ \ for  a \le x \le b }} \atop { 1 \ \ \ \ \ \ \ \ \ \ \  for  x >  b}\right.[/tex]

Generally  the probability that an oil change job is completed in less than or equal to 22 minutes is mathematically represented as

              [tex]P(X \le 22) = \frac{22 - 20}{30 - 20 }[/tex]

=>          [tex]P(X \le 22) = 0.2[/tex]

Answer:

The answer is C.This country has both a democracy and a theocracy

Answer:

Step-by-step explanation:

B is correct..............

Step-by-step explanation:

Triangles HIJ and HCE are congruent

The letter I is the 2nd letter in HIJ. Similarly, the letter C is the 2nd letter in HCE.

Hence Angle I = Angle C (B).

Answer: 9

Step-by-step explanation:

120/20/2 (3)

6/2 (3)

(3) (3)

= 9

Glad I could help!

Answer:

1260°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Number of sides n = 9

Step 2: Find

Answer:

Girl's basketball team has more seniors

Step-by-step explanation:

A varsity boy's basketball team has ratio of seniors to juniors that is 7:4.

Let there are 7x seniors and 4x juniors in boy's basketball team.

ATQ,

7x+4x = 12

11x = 12

x = 12/11

Seniors = [tex]7\times \dfrac{12}{11}=7.63[/tex]

The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2.

Let there are 7x seniors and 4x juniors in girl's basketball team.

3x+2x = 12

5x = 12

x = 12/5

Seniors = [tex]7\times \dfrac{12}{5}=16.8[/tex]

As we can see that girl's basketball team has more seniors as compared to the boy's team.

Answer:

x ≥ 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x - 4 ≥ 12

Step 2: Solve for x

Here we see that any value x greater than or equal to 16 would work as a solution to the inequality.

Answer: x ≥ 16

Step-by-step explanation:

x−4≥12

Step 1: Add 4 to both sides.

x−4+4≥12+4

x≥16

Answer:

x≥16

Answer:

c is the right answer

Answer:

A

Step-by-step explanation:

I say a because it's supposed to bring the Venn diagram alone

Answer:

add 5

Step-by-step explanation:

Answer:

+5

Step-by-step explanation:

It keeps adding five so,

14, 19, 24, 29, 34,39,44...

Answer:

The price of a cold drink is 10 dollars.

Step-by-step explanation:

We can use proportion.

[tex] \frac{5 \: ice \: creams}{125 \: dollars} = \frac{1 \: ice \: cream}{x} \\ \\ \frac{5x}{5} = \frac{125}{5} \\ \\ x = 25[/tex]

So we found out that one ice-cream costs $25.00.

The statement said, "An ice cream costs 15 more than a cold drink"

In other words, A cold drink costs 15 dollars less than an ice cream.

So we would subtract.

[tex]25 - 15 = 10[/tex]

So a cold drink costs $10.00.

Answer/Step-by-step explanation:

1. m<UTV = m<RTS = 85°

Reason: Definition of vertical angles.

Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.

2. m<R + m<S + m<RTS = 180°

Reason: sum of interior angles of a ∆.

3. 3x + 2x + 85° = 180°

Reason: Substitution

4. x = 19

Reason: Algebra

Solving the equation algebraically, we would have the following:

3x + 2x + 85° = 180°

Add like terms

5x + 85 = 180

5x = 180 - 85 (subtraction property of equality)

5x = 95

Divide both sides by 5

x = 19

Given:

Considering only the factors of the form x - k.

To find:

The relationship between the k values and the zeros?​

Solution:

We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.

It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.

The relationship between the k values and the zeros is defined as

​k values = Zeros of the function

Therefore, the k values are to zeros of the function.

Answer:

x = 21.287

Step-by-step explanation:

Use:

SOH CAH TOA

Cos(37) = 17.3/x

x = 21.287

Answer:

x = 21.287

Step-by-step explanation:

Use:

SOH CAH TOA

Cos(37) = 17.3/x

x = 21.287

Answer:

5

Step-by-step explanation:

a+b=30

a=30-b------1

&a-b=20

a=20+b-----2

From eqn 1 and 2, we get

30-b=20+b

or, 10=2b

b=5

Now, a=20+5

a=25

Therefore, a/b=25/5

=5

Using a system of equation, the value of a/b obtained from the values of a and b calculated is 5

The system of equations:

From (1) :

a = 30 - b - - - (3)

Substituting a = 30 - b into (2)

30 - b - b = 20

30 - 2b = 20

30 - 20 = 2b

10 = 2b

b = 5

From (3) :

a = 30 - 5

a = 25

Hence,

a/b = 25 / 5 = 5

Hence, the value of a/b is 5

Learn more : https://brainly.com/question/18796573

Answer:

there is no x-intercept because the equation is

[tex]y = - 5[/tex]

there is only a y-intercept

I inserted an image of the graph. It's a straight line across -5.

Answer:

10 dollars

Step-by-step explanation:

Answer:

10!

Step-by-step explanation:

So the cashier counts 80 bills and if each bill was 10 dollars, then that would equal the total. ($800) Because 80 x 10 equals 800.

Hope this helps!. :)

Answer:

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8    

Step-by-step explanation:  

Step(i):-

Given sample size 'n' = 1600

95% confidence interval of the margin error is determined by

                      [tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]

Level of significance = 0.05

Z₀.₀₅ = 1.96

Given Margin of error = 2% = 0.02

       [tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]

       [tex]0.02 = \frac{1.96 X S.D}{\sqrt{1600} }[/tex]

      0.02 X √1600 = 1.96 X S.D

       [tex]S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408[/tex]

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8  

Using the z-distribution, it is found that you would have to poll 2401 students.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

There is no prior estimate, hence [tex]\pi = 0.5[/tex] is used.

The sample size is n for which M = 0.02, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \left(\frac{1.96(0.5)}{0.02}\right)[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.02}\right)^2[/tex]

[tex]n = 2401[/tex]

You would have to poll 2401 students.

To learn more about the z-distribution, you can take a look at https://brainly.com/question/12517818

Answer:

Step-by-step explanation:

The surface area is the sum of the areas of square base and triangle sides

Answer:

7 x 14 x 4 = 392

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

You need to simply add all the given numbers together and enter the missing number that'll make the total 0. So:

-75 + (-25) = -100

-100 + 10 = -90

-90 + 90 = 0

Thus, adding a 90 in the empty box will make it 0.

Answer:

90

Step-by-step explanation:

This is the answer because:

1) -75 + (-25) = -100

2) -100 + 10 = -90

3) -90 + 90 = 0

Therefore, the answer is 90 because whenever a negative number is added with the same poitive number, it beomes a 0.

Hope this helps! :D

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Null hypothesis:

[tex]H_o : \mu = 0.50[/tex]

Alternative hypothesis:

[tex]H_a : \mu > 0.50[/tex]

The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{46}{58}[/tex]

[tex]\hat p = 0.7931[/tex]

The test statistics:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n} } }[/tex]

[tex]Z = \dfrac{0.7931 - 0.50}{\sqrt{\dfrac{0.5(1-0.5)}{58} } }[/tex]

[tex]Z = \dfrac{0.2931}{\sqrt{\dfrac{0.25}{58} } }[/tex]

[tex]Z = \dfrac{0.2931}{0.06565321643}[/tex]

Z = 4.46      (to two decimal places)

At 99% C.I

Level of significance is:

∝ = 1 - C.I

∝ = 1 - 0.99

∝ = 0.01

Thus, the lower confidence bound can be computed as:

[tex]= \hat p - Z_{\alpha} \sqrt{\dfrac{\hat p ( 1- \hat p )}{n} }[/tex]

Critical value of [tex]Z_{0.01/2} = 2.33[/tex]

[tex]= 0.7931 - 2.33 \sqrt{\dfrac{0.7931 (1-0.7931)}{58}}[/tex]

[tex]= 0.7931 - 2.33 (0.05319)[/tex]

= 0.7931 - 0.1239327

= 0.6691673

[tex]\simeq[/tex] 0.7    (to one decimal place)

(c)

Given:

[tex]P_o = 0.50[/tex]  and [tex]\hat p = 0.80[/tex]

Then:

[tex]\beta (0.8) = \phi \Big [ \dfrac{p_o-\hat p + Z_{\alpha} \sqrt{\dfrac{p_o(1-p_o)}{n}}}{\sqrt{\dfrac{\hat p(1-\hat p)}{n} } } \Big][/tex]

[tex]\beta (0.8) = \phi \Big [ \dfrac{0.5-0.8 + 2.33 \sqrt{\dfrac{0.5(1-0.5)}{58}}}{\sqrt{\dfrac{0.8(1-0.8)}{58} }}\Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.3+ 2.33 (0.06565)}{\sqrt{0.0027586 }} \Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.3+ 0.1529645}{0.052522} \Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.1470355}{0.052522 } \Big][/tex]

[tex]= \phi \Big [-2.799\Big][/tex]

= 0.0026    ( to four decimal place).

Given :

A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles.

To Find :

How many red marbles are in the bag.

Solution :

Let, number of red and black marbles are x and y respectively.

So, x + y = 120    ....1)

Now, it is given that there are 17 red marbles for every 3 black marbles.

So, 3x = 17y        ....2)

Putting value of x from equation 2) to equation 1), we get :

[tex]\dfrac{17y}{3}+y = 120\\\\\dfrac{20y}{3}=120\\\\y = 18\\\\x = 120 - 18\\\\x = 102[/tex]

Therefore, the number of red and black marbles are 102 and 18 respectively.

Answer:

(40,35)

Step-by-step explanation:

Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.

Now we just test out each x and y possibility

We know 5x+3 > 300

So lets try the first one

30 is x

45 is Y

5*30=150

45*3=135

Now if you add them

285

285 is not greater than 300 so thats wrong

SO B is correct

But lets check just in case

5*40=200

3*35= 105

305 IS greater than 300

305 > 300

SO B is correct

The point (40,35)