Relationships between x and y

Answer:

c. 0.0498

Step-by-step explanation:

First of all, let us find the number of four digit numbers possible.

There are 4 digits and let us have a look at the possibility of each digit.

Number of possible options for Unit's digit = 10

Number of possible options for ten's digit = 10

Number of possible options for hundred's digit = 10

Number of possible options for thousand's digit = 9 (because 0 can not be there to make it a 4 digit number)

Total number of possible outcomes = [tex]10\times 10\times 10\times 9 = \bold{9000}[/tex]

As per the given condition, unit's digit is 7.

So, number of possible options for unit's digit = 1

Number of possible options for thousand's digit = 8 (7 and 0 can not be there to make it a 4 digit number)

Number of possible options for hundred's digit = 8 (7 and one digit used in thousand's place can not be there)

Number of possible options for ten's digit = 7 (7, two digits used at thousand's and hundred's places)

Number of possible outcomes as per given conditions = [tex]1\times 8\times 8\times 7 = \bold{448}[/tex]

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(E) = \dfrac{448}{9000} =\bold{0.0498}[/tex]

Answer:

the margin of error for this interval is 0.049

Step-by-step explanation:

The computation of the margin of error for this interval is shown below;

Given that

n = 400

x = 200

Now

p = x ÷ n = 200 ÷ 400 = 0.5

Now the margin of error is

= [tex]z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96 \times \sqrt{\frac{0.5 \times 0.5}{400} }[/tex]

= 0.049

Hence the margin of error for this interval is 0.049

Answer:

-4

Step-by-step explanation:

The equation for slope is as follows:

We can use point P and point V's coordinates to find the slope.

Point P is at (2,4)

Point V is at (3,0)

Let's define all the variables:

y2 = 0 (from point V)

y1 = 4 (from point P)

x2 = 3 (from point V)

x1 = 2 (from point P)

Now that we have all the variables we can plug it into the equation:

[tex]\frac{0-4}{3-2} = \frac{-4}{1} = -4[/tex]

Therefore, the slope of line PV is -4.

I hope this helps!!

Feel free to ask any questions!

- Kay :)

Answer:

-4.834 / 73

Step-by-step explanation:

Two points: (2007, 84.134) and (2080, 79.300)

Use the slope formula.

m = y2-y1/x2-x1

m = 79.300 - 84.134 / 2080 - 2007

m = -4.834 / 73

This product involves zero. So, you don't have to bother and compute all the factor, because if you multiply anything by zero you get zero.

Answer:

y = 2x - 5

I hope this helps!

Answer: 49cm squared *tiney 2 above cm*

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given angle - 610°

Coterminal angle is an angle in the interval 0°- 360° added or subtracted to multiples of 360°:

Correct option is 1.

Answer:

Greater than 90 miles

Step-by-step explanation:

Use the triangle inequality theorem, since the cities form a triangle.

This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.

We can find what the length of the third side has to be greater than by subtracting 97 from 187:

187 - 97

= 90

So, the distance has to be greater than 90 miles.

Answer:

This describes a translation.

Answer:

The answer is 2/3

Step-by-step explanation:

2/3 = 0.6666666666... with it repeating forever

Answer:

2/3

Step-by-step explanation:

The answer you selected is correct.

The decimal form of 2/3 is 0.66666666 (it repeats forever), unlike the other three:

3/4 = 0.75

4/5= 0.80

7/8= 0.875

Answer:

you're going to get an A

Step-by-step explanation:

.............

Answer:

(a) Percentage of girls = 55[tex]\frac{5}{7}[/tex]

(b) Percentage of boys = 44[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

To find percentage, we multiply the fraction out of the total by 100%.

Percentage of girls = [tex]\frac{780}{1400}[/tex] × 100%

                                = 55[tex]\frac{5}{7}[/tex]

Percentage of boys = [tex]\frac{1400-780}{1400}[/tex] × 100%

                                 = 44[tex]\frac{2}{7}[/tex]

Recall that

sin²(θ) + cos²(θ) = 1

for all θ, and given that cos(θ) < 0, we find that

cos(θ) = -√(1 - sin²(θ)) = -√(1 - (2/5)²) = -√(21)/5

Now,

csc(θ) = 1/sin(θ) = 1/(2/5) = 5/2

and

cot(θ) = cos(θ)/sin(θ) = (-√(21)/5)/(2/5) = -√(21)/2

Answer:

[tex]\angle 6, \angle 4[/tex]

Step-by-step explanation:

[tex]\angle 1\ and\ \angle 2\ are\ remote\ interior\ angles\ of\ \angle 6\ as\ they\ are\ opposite\ to\\ its\ linear\ pair\ \angle 3.\\\angle 2\ and\ \angle 3\ are\ remote\ interior\ angles\ of\ \angle 4\ as\ they\ are\ opposite\ to\\ its\ linear\ pair\ \angle 1.[/tex]

Answer:

let he takes x ride in total

1

$15 + 1.25x = $40

on solving

1.25x = 40 -15

1.25x=25

x=25/1.25 = 20

He can go on 20 rides.

Step-by-step explanation:

Answer:

32 students were present.

Step-by-step explanation:

To find out how many students were present in class 8, we have to find out how many students were absent first.

As the question has already provided us, the number of students who are absent would be [tex]40 \cdot 20\%[/tex], which equals to [tex]40 \cdot \frac{20}{100}[/tex] which is 8 students in total who were absent in class 8.

Now that we have found out how many students were absent, simply subtract the number of students who were absent from the total number of students in class 8, which is (40 - 8) = 32 students, and you have the number of students that were present: 32.

Hope this helped!

Answer:25°

Step-by-step explanation:

tanθ= 35/72

Answer:

27 bc he warms hard and should get a raise

Step-by-step explanation:

Answer:

There are 36 scholars who have a sister.

Step-by-step explanation:

Given that:

Total number of scholars in classes = 90

Fraction of scholars who have a sister = 2/5

Fraction of scholars who have a brother = 1/2

Number of scholars who have sisters = 2/5 of 90

Number of scholars who have sisters = [tex]\frac{2}{5}*90[/tex]

Number of scholars who have sisters = 36

Hence,

There are 36 scholars who have a sisters.

Answer:

Step-by-step explanation:

Answer:

2.828 (the square root of 8)

Step-by-step explanation:

2.828 squared is 8, which is also the square root of 64

The value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

_² = √64

Let the missing number be x:

Then, the equation becomes:

x² = √64

√64 = √(8x8) = 8

x² = 8

The above equation represents a quadratic equation, Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

x = ±√8

x = ±2√2

Thus, the value in the missing is x = 2√2 or x = -2√2 or x = ±√8 if the expression is _² = √64.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ5

Answer:

x=-3/4n

Step-by-step explanation:

first, remove the parenthesis.

-3(x + n) = x

-3x -3n = x

collect like terms.

-3x - x = 3n

divide both sides.

-4 = 3n

and therefore,

x= -3/4n

Answer: 230 ducks were left.

Step-by-step explanation:

Answer:

31 ducks

Step-by-step explanation:

345 ÷ 33 1/3% = ducks left.

345 ÷ 33 1/3% = approximately 31

So once solved, you can conclude that there are 31 ducks left in the pond.

Answer:

The equation to find the cost of repairing a TV is:

y = 25x + 40

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope or rate of change and b is the y-intercept

Given that the TV chairman charges $40 to come out to your house and check the TV  plus $25 per hour of labor.

It means $40 is the y-intercept because it represents the starting point/condition of the repairman.

Let 'x' be the number of hours and y be the cost.

The rate of change = 25$ per hour of labor

Thus, m = 25

Hence, the slope-intercept form of the line equation becomes

y = mx+b

substituting m = 25 and b=40

y = 25x + 40

Therefore, the equation to find the cost of repairing a TV is:

y = 25x + 40

Validation:

y = 25x + 40

putting x = 1 to determine the cost if labor works for 1 hour.

y = 25(1) + 40 = $65

putting x = 2 to determine the cost if labor works for 2 hours.

y = 25(2) + 40 = $95

Answer:

The discounted TV would cost $200 because the 20% discount takes off $50

Answer:

x^2 + 4x + 12 + [tex]\frac{30}{x-2}[/tex]

Step-by-step explanation:

idrk how to explain this one and im on a computer so i cant take a picture of my work but just divide lol

divide like you would with normal division kinda lol

hope this helps <3