Given that 3x-7y=-27 and 5x+9y=17. Find the values of x and y that satisfy both equations, using elimination method.

Answer:

the distance between the ships is changing at 21.4 km/h

Step-by-step explanation:

Given;

distance between ship A and ship B = 150 km

speed of ship, A = 35 km/h

speed of ship B = 25 km/h

at 4 pm, the time difference = 4 hours

let the distance between A and B = C

The position of A after 4 hours = 35 km/h x 4 h = 140 km

The distance covered by A, a = 150 km - 140 km = 10 km

The distance covered by B, b = 25 km/h x 4 h = 100 km

The distance between A and B;

c² = a² + b²

c² = 10²  +  100²

c² = 10100

c = √10100

c = 100.5 km

The change in the distance between A and B is calculated as;

[tex]c^2 = a^2 + b^2\\\\2c\frac{dc}{dt} = 2a\frac{da}{dt} + 2b\frac{db}{dt} \\\\c\frac{dc}{dt} = a\frac{da}{dt} + b\frac{db}{dt} \\\\100.5(\frac{dc}{dt}) = -10(35) + 100(25) \\\\(the \ negative \ sign \ indicates \ decrease \ in \ distance \ of \ A \ from \ B \ with \ time)\\\\100.5(\frac{dc}{dt})= 2150\\\\\frac{dc}{dt} = \frac{2150}{100.5} \\\\\frac{dc}{dt} = 21.39 \ km/h\\\\\frac{dc}{dt} \approx 21.4 \ km/h[/tex]

Therefore, the distance between the ships is changing at 21.4 km/h

Hope the picture above will help you

Answer:

The mean number of the students who develop hypertension over a life time is 7.8.

Step-by-step explanation:

For each person, there are only two possible outcomes, either they will develop hypertension, or they will not. The probability of a person developing hypertension is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

Suppose that the probability that a person will develop hypertension over a life time is 60%.

This means that [tex]p = 0.6[/tex]

13 graduating students from the same college are selected at random.

This means that [tex]n = 13[/tex]

Find the mean number of the students who develop hypertension over a life time

[tex]E(X) = np = 13*0.6 = 7.8[/tex]

The mean number of the students who develop hypertension over a life time is 7.8.

Answer:

38.957625 US$

Step-by-step explanation:

38.957625 US$

Answer:

38.96

Step-by-step explanation:

Change from percent to decimal form

.0765 * 509.25

38.957625

Rounding to the nearest cent

38.96

Answer: length of DE = 18

Step-by-step explanation:

Since the angles of these two triangles are the same, we can assume that they are similar triangles. To solve for a missing side of a triangle that is similar, you can set up a proportion:

[tex]\frac{27}{15}=\frac{x}{10}[/tex]

To solve for x (the missing length), you would do:

27 × 10 ÷ 15 = 18

You can set up the proportion in any way between the two triangles as long as the two sides correspond to each other. For example, you could have also used the following proportion to solve for x:

[tex]\frac{x}{27} =\frac{10}{15}[/tex]

When you solve for x using this proportion, you would get the same value for x:

10 × 27 ÷ 15 = 18

Answer:

The right solution is "68%".

Step-by-step explanation:

The empirical rule is:

[tex]X\sim N(8.43, 1.5)[/tex]

According to the question,

= [tex]P(6.93< \mu < 9.93)[/tex]

= [tex]P(\frac{6.93-8.43}{1.5} < \frac{\mu -8.43}{1.5} < \frac{9.93-8.43}{1.5} )[/tex]

= [tex]P(z(1)-P(z(-1))[/tex]

= [tex]68[/tex] (%)

Thus the above is the right solution.

Answer:

your mom

Step-by-step explanation:

a...cause she's having trouble concentrating,for her to work she needs to tell her realtor she can only receive text messages it enables her to know the process of the house hunt

Answer:

you did it right D is right answer

Answer:

Option C

Step-by-step explanation:

2 and 4 makes the figure look symmetrical

The required lines of symmetry are 2 and 4. option C is correct.

A given picture line of symmetry is to be determined from 1, 2, 3, and 4.

the line is a curve showing the shortest distance between 2 points.

A line of symmetry is defined as the line that draw across any curve or shape, The curve and shape have equal proportion across the line, that line is called the line of symmetry.

Clearly,  from observation, it is seen that line 1 and line 3 does not have the same proportion of area across it, so this is not a line of symmetry.
Line 2 and line 4, is lines of symmetry because it has equal proportion of the area across it.

Thus, the required lines of symmetry are 2 and 4. option C is correct.

Learn more about lines here:

brainly.com/question/2696693

#SPJ5

Answer:

12 sundaes

Step-by-step explanation:

Answer:

x > 8

Step-by-step explanation:

You can start y multiplying both sides by 4 to cancel out the division by 4:

x/4 > 2

*4      *4

x > 8

Answer:

x > 8

Step-by-step explanation:

x/4 > 2

=> x > 2 × 4

=> x > 8

Answer:

a.) .0469

b.) .9961

c.) .9492

Rounded these check below for full answers

Step-by-step explanation:

a.)

[tex]{4\choose3}*.25^3*(1-.25)=.046875[/tex]

b.)

Porbability of at most 3 successes is equal to 1-p(4)

p(4)=

[tex]{4\choose4}*.25^4=.003690625[/tex]

1-.003690625=.99609375

c.)

two or more failures is equa lto

p(0)+p(1)+p(2)=

[tex]{4\choose0}*.25^0*(1-.25)^4+{4\choose1}*.25^1(1-.25)^3+{4\choose2}*.25^2*(1-.25)^2=.94921875[/tex]

Multiplying a matrix by a scalar results in every entry in a matrix get multiplied by that scalar, as defined,

[tex]a\begin{bmatrix}b&c\\d&e\\\end{bmatrix}=\begin{bmatrix}ab&ac\\ad&ae\\\end{bmatrix}[/tex]

So in our case, ([tex]0.2=\frac{1}{5}[/tex]

[tex]\frac{1}{5}\begin{bmatrix}50&10\\25&15\\\end{bmatrix}=\begin{bmatrix}\frac{50}{5}&\frac{10}{5}\\\frac{25}{5}&\frac{15}{5}\\\end{bmatrix}=\boxed{\begin{bmatrix}10&2\\5&3\\\end{bmatrix}}[/tex]

Hope this helps :)

Answer: Hello the options related to your question is missing attached below are the missing options.

A.) The probabilities of the RVs may be equal

B.) The sum of the probabilities of the RVs exceed 1

C.) This is an impossible occurrence

D.) The probabilities of the RVs must be equal

E.) None of the above

answer:

The probabilities of the RVs may be equal ( A )

Step-by-step explanation:

Given that the value of the  population mean and the value of probability mass function of a set of random variables are similar

For the Random Variables : 100,200,300,400

The Probability mass function of RV = ( 100 + 200 + 300 + 400 ) / 4

Hence  The probabilities of the RVs may be equal

Answer:

[tex]-\frac{x^{2} }{4}[/tex]  -2x - 7

Step-by-step explanation:

Never seen a phone with 3 cameras before or something but ok.

Took a while to use brainly's insert character thingie since fractions and the exponent kinda threw me off.

Answer:

A. 50º

Step-by-step explanation:

we are given the exterior angles 140º and 90º

exterior angles + corresponding interior angles = 180º

that means the two other angles of the triangle are:

180 - 140 = 40º

and

180 - 90 = 90º

the sum of interior angles in a triangle = 180

p = 180 - (40 + 90)

p = 180 - 130

p = 50º

Answer:

Josh: 20 messages

Kira: 25 messages

Sam: 40 messages

Ans; [{(-90) + (-5)} 2-10] ×2 —> [{-90-5}2-10]×2 —> [{-95}2-10]×2 —> [-190-10]×2 —> [–200] ×2 —> = –400

I hope I helped you ^_^

Answer:

40.2

Step-by-step explanation:

Diameter = 16, Radius = 16/2 = 8

Central angle = 2π/5 radians = 72°

Sector area,

8²π×(72/360)

= 64π/5

= 40.2 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

From the data The anxiety levels decreases as a result of the workshop

given that the mean value of the differences = -1.1125

Step-by-step explanation:

Number of randomly selected employees = 16

From the data It can be noticed that the difference in anxiety levels decrease ( Tends towards values below 0 )

To determine this we have to determine the mean value of the differences

(-3) + (-3) + (-2) +(-2) +(-2) + (-2 ) + (-1) + (-1) + (-1) + (-1) + (-1 ) + 0 + 0 + 0 + 0  + 1 / 16

= -18 / 16 = - 1.1125

mean value = -1.1125.

Answer: x>4

solution set : x = {5,6,7,8....}

Step-by-step explanation:

5x-1>3x+7

or, 5x-1+1>3x+7+1

or, 5x>3x+8

or, 5x-3x > 3x+8-3x

or, 2x > 8

or, 2x/2 > 8/2

or, x > 4

[tex] \frac{5}{3} = \frac{12}{x} \\ = > \frac{5x}{3} = 12 \\ = > 5x = 12 \times 3 \\ = > 5x = 36 \\ = > x = \frac{36}{5} \\ = > x = 7.2[/tex]

This is the answer.

Answer:

أنت مجنون ، هل تعرف ذلك؟

Step-by-step explanation:

بنسلفانيا

this the answer of queastions

Step-by-step explanation:

67.18,68.82

Let mu be the true population mean of statistics exam scores. We have a large random samples of n=36 scores with a sample mean of 68.we know that the population standard deviation is sigma=3.A pivotal quantity is 3^sqrt(36)=(3/6)=68(1/2) which is approximately normally distributed. Therefore the 85%confidence interval is 68-(1/2)(1.6449), 68+(1/2)(1.6449) i.e (67.18,68.82)

Answer:

115

Step-by-step explanation:

Since the lines are parallel, PWX+WXR=180, WXR=65. So PWX=(180-65)=115

Answer:

Your answer is (C)

Explanatory variable: miles on the car odometer

Response variable: depth of tire tread

ED2021

9514 1404 393

Answer:

  [tex]\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right][/tex]

Step-by-step explanation:

The rotation matrix for 90° CCW is ...

  [tex]\left[\begin{array}{cc}0&-1\\1&0\end{array}\right][/tex]

Then the rotated coordinates are ...

  [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right][/tex]

_____

The transformation of each ordered pair is ...

  (x, y) ⇒ (-y, x)

Answer:

Step-by-step explanation: