15 greater than y is at least 150 interval notation

Answer:

60.5/25

2 21/50

Step-by-step explanation:

60.5/25

Equals

2 21/50

We are given:

Coordinates of Curtis's house: (-4, -6)

Coordinates of Jean's house: (-4, 3)

a) Plotting these points:

in the given coordinates, the first number is called the abscissa and denotes the x-coordinate of the point.

the second number is the ordinate. it denotes the y-coordinate of the point

Plotting Curtis's house:

We will start from the origin (0,0). move 4 units to the left because that's where x = -4 is.

Then, we will move 6 units downwards and mark the point.

The point we just marked is (-4, -6), Curtis's house

Plotting Jean's house:

We will go to x = -4 like we just did when plotting curtis's house

then, we will move 3 units upwards and mark the point.

This point is (-4, 3), Jean's house

b) Time taken by Curtis:

Distance between the points:

distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]      (distance formula/Pythagoras' Theorem)

where (x₁, y₁) = (-4, -6)    and    (x₂, y₂) = (-4, 3)

replacing the values in the formula, we get:

distance = [tex]\sqrt{(-4 - (-4))^2 + (3 - (-6))^2}[/tex]

distance = [tex]\sqrt{(0)^2 + (9)^2}[/tex]

distance = [tex]\sqrt{(9)^2}[/tex] = 9 units

since each unit on the grid represents one mile,

distance = 9 miles

speed of Curtis = 12 miles/hour

we know that speed is just (distance covered)/(time taken)

speed = (distance covered)/(time taken)

replacing known values

12 = 9 / time

12 * time = 9                [multiplying both sides by time]

time = 9/12                  [dividing both sides by 12]

time = 3/4 hours

time = 0.75 hours OR 45 minutes

9514 1404 393

Answer:

  a) see attached

  b) 3/4 hour (45 minutes)

Step-by-step explanation:

a) The attached graph shows the points plotted.

__

b) The points lie on the same vertical line. The distance between them is the difference of their y-coordinates: 3 -(-6) = 9 (miles).

The time is related to distance and speed by ...

  time = distance/speed

  time = (9 mi)/(12 mi/h) = 9/12 h = 3/4 h

It would take Curtis 3/4 hour to ride from his house to Jean's house.

Answer:

9.63 - 2.25 = 18j

j = 0.41

Step-by-step explanation:

first you set the equation equal to 18 since you want to find out what each bottle of juice  costs.

= 18j

if the total cost was 9.63 you need to subtract 2.25 form it to find out how much the 18-pack of juice bottles was. so you set 9.63 - 2.25 equal to  18j

9.63 - 2.25 = 18j

7.38 = 18j

0.41 = j

Check your work:

9.63 - 2.25 = 18(0.41)

7.38 = 7.38                    true!

hope this helps! if you have any questions, let me know!

Answer:

point E

Step-by-step explanation:

it lies after 1 and before two and 1.6 bar is after 1 and before 2

Answer:

The standard deviation for the number of defective parts in the sample is 1.88.

Step-by-step explanation:

The sample is with replacement, which means that the trials are independent, and thus, 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]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

68 defective out of 400:

This means that [tex]p = \frac{68}{400} = 0.17[/tex]

From the shipment you take a random sample of 25.

This means that [tex]n = 25[/tex]

Standard deviation for the number of defective parts in the sample:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88[/tex]

The standard deviation for the number of defective parts in the sample is 1.88.

The standard deviation of the situation is 1.88

The proportion of success is calculated as:

[tex]p = \frac xn[/tex]

So, we have:

[tex]p = \frac {68}{68 + 332}[/tex]

[tex]p = 0.17[/tex]

The standard deviation is then calculated as:

[tex]\sigma= \sqrt{np(1-p)}[/tex]

For a shipment of a random sample of 25, we have:

[tex]\sigma= \sqrt{25 * 0.17 * (1-0.17)}[/tex]

Evaluate the product

[tex]\sigma= \sqrt{3.5275}[/tex]

Evaluate the root

[tex]\sigma= 1.88[/tex]

Hence, the standard deviation of the situation is 1.88

Read more about standard deviation at:

https://brainly.com/question/475676

Answer:

2/9

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

[tex]- \frac{\pi}{3}[/tex]

Step-by-step explanation:

Given

[tex]y = -3\cos(3x - \pi) + 5[/tex]

Required

The phase

We have:

[tex]y = -3\cos(3x - \pi) + 5[/tex]

Rewrite as:

[tex]y = -3\cos(3(x - \frac{\pi}{3})) + 5[/tex]

A cosine function is represented as:

[tex]y = A\cos(B(x + C)) + D[/tex]

Where:

[tex]C \to[/tex] Phase

By comparison:

[tex]C = - \frac{\pi}{3}[/tex]

Hence, the phase is: [tex]- \frac{\pi}{3}[/tex]

Answer:

10.1(approx)

Step-by-step explanation:

3+9+5+3+12+10+18+4+7+19+21/11

=111/11=10.09/10.1(approx )

SEE IMAGE FOR SOLUTION.

HOPE IT HELPS.

HAVE A GREAT DAY

Answer:

m = [tex]\frac{2q}{3y}[/tex]

Step-by-step explanation:

Given

q = [tex]\frac{3ym}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

2q = 3ym ( isolate m by dividing both sides by 3y )

[tex]\frac{2q}{3y}[/tex] = m

Answer:

Mathematical induction can be used to prove that an identity is valid for all integers n≥1. Here is a typical example of such an identity: 1+2+3+⋯+n=n(n+1)2. More generally, we can use mathematical induction to prove that a propositional function P(n) is true for all integers n≥1.

Step-by-step explanation:

I'd really appreciate a brainleast please:)

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

Answer:

The scale factor is 4/3 and x is 12

Step-by-step explanation:

→ Divide RS by DE

4 ÷ 3 = 4/3

→ Divide the answer by 16

16 ÷ 4/3 = 12

Answer:

Y =-4X +21

Step-by-step explanation:

x1 y1  x2 y2

4 5  3 9

(Y2-Y1) (9)-(5)=   4  ΔY 4

(X2-X1) (3)-(4)=    -1  ΔX -1

slope= -4          

B= 21          

Y =-4X +21    

Answer:

Step-by-step explanation:

CE and are the sides making up the sine of an angle.

CE is the side opposite the angle

DE is the side hypotenuse.

<D = 61 degrees

Sin(D) = opposite / hypotenuse

hypotenuse = 8

Sin(61) = 0.8746

CE = ?

sin(61) = CE / 8                multiply both sides  by 8

8 sin(61) = CE

CE = 8 * 0.8746

CE = 6.9969

CE = 7.0

That 0 should be included in the answer, but I think it is safe to say that if you enter 7, you will get it right.

Answer:

7.0

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

So, 10x+20=170.

As the circumference of a circle is 360°, z is equal to 110.

Answer:

Step-by-step explanation:

favorable events for a sum of 3 are 12,21

P(sum 3)=2/36=1/18

favorable events for a sum of 9 are 36,63,45,54

P(sum of 9)=9/36=1/4

30,20 and 10

30 + 20 + 1/3×30 = 60

50 + 10 = 60

60 = 60

Must click thanks and mark brainliest

Answer:

-64

Step-by-step explanation:

-8^2

-8( -8)

=-64

Answer:

616.2442

area to the nearest whole number=616

Step-by-step explanation:

using formula 1/2absinx

where a =44,b=29 ,x=105

1/2x44x29xsin105

44x29=1276

1276÷2=638

638 x sin 105

the sin of 105 is 0.9659

if u are using a four figure table where u can't find 105 under sin of angle

u simply subtract 105 from 180=75

638 x 0.9659 =616.2442

approx.616

The area of the square field is 67600 m² and the side is 260 m long.

A quadrilateral with all sides equal and all angles are right angles.

Given that, a person takes 40 paces to cover 20 m of a square field according to him the field has a side that is 520 paces long, we need to find the measure of the side and the area,

Since,

40 paces = 20 m

1 pace = 1/2 m

Therefore,

520 paces = 0.5 x 520 m

= 260 m

Therefore, the square field is 260 m long,

Area of the square field = side² = 260²

= 67600 m²

Hence, the area of the square field is 67600 m² and the side is 260 m long.

Learn more about squares, click;

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#SPJ2

X1=-2 and x2=1

You would just need to plug the first y equation value into the 2nd equation to get what I got in the photo. Then solve for the x’s to get the coordinates.

Answer:

c. hãy nêu ý nghĩa của hàm liên tục trong kinh tế? trình bày một vài ví dụ minh họa

Step-by-step explanation:

:)

The unit rate will be "23.5 miles/gallon". In the below segment, a further solution to the given question is provided.

Given values in the question are:

Total distance,

= 188 miles

Total gas used,

= 8

Now,

⇒ The rate of gas consumption will be:

= [tex]\frac{Total \ distance}{Total \ gas \ used}[/tex]

By putting the given values in the above formula, we get

= [tex]\frac{188}{8}[/tex]

= [tex]23.5 \ miles/gallon[/tex]

Thus the above is the appropriate solution.

Learn more about gas consumption here:

https://brainly.com/question/17321062

9514 1404 393

Answer:

  B)  40

Step-by-step explanation:

Vertical angle XZU has the same measure as the given angle, 130°. It is equal to the sum of right angle XZV and unknown angle UZV. So, ...

  ∠UZV +90° = 130°

  ∠UZV = 40° . . . . . . . . . subtract 90°

Answer:

Step-by-step explanation:

Answer:

b = h*D +hg^3

Step-by-step explanation:

b/h = D +g^3

Multiply each side by h

h* b/h = h*D +hg^3

b = h*D +hg^3

Answer:

75

Step-by-step explanation:

All of the angles within the triangle must add up to 180 degrees. So, angle 2 =50

The angles 4,2,5 also equal 180 because they are on the blue line. Since angle 2=50 and angle 5= 55 angle 4 must be 75 which is needed to add up to 180.

Answer:

Angle 4 is 75°

b represent angle 2

d represent angle 4

70+60+b=180

130+b=180

b=50

55+50+d=180

105+d=180

d=75

The solutions are where the two lines cross over each other.

(0,3) and (4,-5)

Answer:

I have no clue my bad bro.

Answer: 1 day

Step-by-step explanation:

i took the test lol...