Whats the InversE of Y=3x+2

Answer:4

Step-by-step explanation:

2+2 is 4

Answer: 610 MPH

Step-by-step explanation:

915 divided by 1.5=610 MPH

610 divided by 2=305 MP Half n Hour

610+305=915

Answer:

Noncollinear points

Step-by-step explanation:

Collinear points lie on the same line. Noncollinear points are the opposite.

The information from the histogram are as follow,

Students exercised for 4 or more hours are 14.

Students exercised for 9 or fewer hours are 13.

Mean of the data = 7.3.

median of the data = 6.33.

The histogram provides information about the distribution of hours students spent exercising in a week.

The number of students who exercised 4 hours or more,

= adding up the counts in the first and second bins.

= 9 + 5

= 14 students

The number of students who exercised 9 hours or fewer,

= adding up the counts in the first and second bins

= 9 + 4

= 13 students

The mean hours of exercise is not provided by the histogram

use the formula,

Mean = Σ\(x_{i} y_{i}\) / N

where

\(x_{i}\) is the midpoint of the ith bin

\(y_{i}\) is the frequency of the ith bin

N is the total sample size

Mean = [(2)(4)  + (7)(9) + (12)(5)] / 18

          = 7.3

The median hours of exercise is not provided by the histogram.

Median = L + ( (n/2 – F) / f ) × w

where

L=The lower limit of the median group

n = The total number of observations

F = The cumulative frequency up to the median group

f =The frequency of the median group

w = The width of the median group

median = 5 + ( ( 14/2 - 4 ) /9 × 4

             = 6.33

Therefore, from the histogram the number of students exercised for ,

4 hours or more are 14.

9 hours or fewer are 13.

mean = 7.3

Median = 6.33

learn more about histogram here

brainly.com/question/9696858

#SPJ1

Answer:

the opposite of the opposite of -9, the opposite of 6, the opposite of 4, the opposite of 0, the opposite of the opposite of 7

Explanation:

the opposite of 4 = -4

the opposite of the opposite of -9 = -9

the opposite of 6 = -6

the opposite of the opposite of 7 = 7

the opposite of 0 = 0

Then you just put them in order.

Hope this helps!

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

#SPJ1

The possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.

We need to find the possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed.

the possible number of 3 letters words would be,

7³ = 343

(b) No letter can be repeated in a word.

Using the formula of Permutation,

^{7}P_3 = 7!/(7 - 3)!

             = 210    

(c) Each word must begin with the letter a.  

If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(d) The letter c must be at the end.

If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(e) The second letter must be a vowel.

In the 3 letter word, the second letter must be vowel which is either a or e.

So, the possible number of 3 letters words would be,

49 + 49 = 98

Therefore, the possible number of words would be (a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

Learn more about permutation here:

https://brainly.com/question/28720645

#SPJ4

The complete question is:

3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?

(a) No condition is imposed.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter a.

(d) The letter c must be at the end.

(e) The second letter must be a vowel.

The total amount of money will be in his account after 6 years is $4264.

Given that, principal = $3250, rate of interest = 5.2% and time period = 6 years.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.

Substitute P=$3250, R=5.2% and T=6 years in simple interest formula

That is, S.I. = (3250 × 5.2 × 6)/100

= $1014

Amount = Principal + Simple interest

= 3250 + 1014

= $4264

Therefore, the total amount of money will be in his account after 6 years is $4264.

To learn more about the simple interest visit:

https://brainly.com/question/25845758.

#SPJ6

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

Parallelogram

Step-by-step explanation:

Observation 1:

the sides do not have the same measure √53≠√68 so is NOT a square and NOT a rhombus

Observation 2:

the opposite sides are congruent

AB=CD=√53, and  BC=DA=√68

Observation 3:

lines that have the same slope are parallel so opposite sides are also parallel

slope of AB =slope of CD =-2/7, and slope of BC=slope of DA=8/2

so we have 2 pair of sides congruent and parallel but to decide if is a parallelogram or rectangle we need to see if the adjacent sides form 90° or not

Observation 4:

lines that are perpendicular form 90° and their slope is negative reciprocal.

AB slope =-2/7 and slope of BC =8/2 so are NOT perendicular therefore is a parallelogram

Answer:

arc = 7.5π units

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

the angle subtended at the centre by the arc is 360° - 90° = 270° , then

arc = 2π × 5 × \(\frac{270}{360}\)

     = 10π × \(\frac{3}{4}\)

     = \(\frac{30\pi }{4}\)

     = 7.5π

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

Answer:

The answer is Ahope this helps

Answer:

126.9° and 323.°1

Step-by-step explanation:

I'll use x instead of theta and you can replace it by theta

5 sin x + 3 = 0

5 sin x = - 3

Sin x = - 3/5

Key angle = sin¯¹ 3/5 = 36.8698

Sin negative, so we use the third and fourth quadrants

X = 90+36.8698, 360-36.8698

X = 126.8698, 323.1302

Theta = 126.9°, 323.°1

Answer:

D.   (-2, 0) and (3, 0).

Step-by-step explanation:

At the x -intercepts the function = 0, so

(2x + 4)(x - 3) = 0

2x + 4 = 0 and x - 3 = 0

x = -4/2 = -2 and x = 3.

So they are (-2, 0) and (3, 0).

x = 3 or x = -2

Step-by-step explanation:

f(x) = (2x + 4)(x - 3)

y = (2x + 4)(x - 3)

x - intercept occurs when y = 0

0 = (2x + 4)(x - 3)

0 = 2x² - 6x + 4x - 12

2x² - 2x - 12 = 0

(2x² - 2x - 12)/2 = 0/2

x² - x - 6 = 0

From the quadratic formula,

x = (-b +- √(b² - 4ac))/2a

x = (- ( -1 ) +- √(( -1)² - 4( 1 )( -6 )))/2( -1 )

x = (1 +- √(1 - ( -24)))/-2

x = (1 +- √25)/-2

x = (1 +- 5)/-2

x = 3 or x = -2

Answer:

1 answer to your question

Answer:

19448 ways

70572902400 ways

Step-by-step explanation:

(a)

To arrange 17 books on a shelf from a possible we use the combination formula :

nCr = n! ÷ (n-r)!r!

17C10 = 17! ÷ 7! 10!

17C10 = 19448 ways

To arrange the books in alphabetical order :

2)

In question, 2, the order of arrangement matters ; hence, we use permutation ;

nPr = n! ÷ (n-r)!

17P10 = 17! ÷ (17 - 10)! = 17! ÷ 7!

17P10 = 70572902400

Step-by-step explanation:

hope this will help you......

Answer:

\((4y + 5)( - 2y + 3) =-3 -7y - 8 {y}^{2}+9y - 9 \\ - 8 {y}^{2} + 12y - 10y + 15 = - 12 + 2y - 8 {y}^{2} \\ - 8 {y}^{2} + 2y + 15 = - 12 + 2y - 8 {y}^{2} \)

Answer:

\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)

\(7 = - \frac{8}{3} ( - 3) + b\)

\(7 = 8 + b\)

\(b = - 1\)

\(y = - \frac{8}{3} x - 1\)

The y-intercept is -1.

Answer:

\(g(x + a) - g(x) = 10ax + 5a^2 + 2a\)

Step-by-step explanation:

We are given the function:

\(g(x) = 5x^2 + 2x\)

And we want to determine:

\(\displaystyle g(x+a) - g(x)\)

Substitute:

\(\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \end{aligned}\)

And simplify:

\(\displaystyle \begin{aligned}g(x + a) - g(x) &=\left[5(x+a)^2 + 2(x+a)\right] -\left[5x^2+2x\right] \\ \\ &= \left(5(x^2 + 2ax + a^2) + (2x + 2a) \right) + \left(-5x^2 - 2x\right) \\ \\ &= \left((5x^2 + 10ax + 5a^2) + (2x + 2a)\right) + \left(-5x^2 - 2x\right) \\ \\ &= (5x^2-5x^2) + (10ax + 2x - 2x) + (5a^2+2a) \\ \\ &= 10ax + 5a^2 + 2a \end{aligned}\)

In conclusion:

\(g(x + a) - g(x) = 10ax + 5a^2 + 2a\)

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The lateral surface area of the cylinder is 344.64 centimeter square

The radius of the cylinder = 4.9 centimeter

The height of the cylinder = 11.2 centimeter

The lateral surface area of the cylinder = 2 × π × r × h

Where r is the radius of the cylinder

h is the height of the cylinder

The value of π = 3.14

Substitute the values in the equation and find the lateral surface area of the cylinder

The lateral surface area of the cylinder = 2 × 3.14 × 4.9 × 11.2

Multiply the terms

= 344.64 centimeter square

Therefore, the lateral surface area is 344.64 centimeter square

Learn more about lateral surface area here

brainly.com/question/11385509

#SPJ4

The given question is incomplete, the complete question is:

Find the lateral surface area of the cylinder. Use 3.14 for π.

Answer:

The appropriate test statistic for testing the null hypothesis that the slope of the population regression line equals 0 is the t-statistic.

The t-statistic for testing the slope coefficient is calculated as follows:

t = (b1 - 0) / SE(b1)

where b1 is the estimated slope coefficient, and SE(b1) is the standard error of the estimated slope coefficient.

From the computer output, we see that the estimated slope coefficient for exercise time is -2.20, and the standard error of the estimated slope coefficient is 0.07.

Therefore, the t-statistic is:

t = (-2.20 - 0) / 0.07 = -31.43

This t-statistic follows a t-distribution with n-2 degrees of freedom, where n is the sample size. The sample size is not given in the output, so we cannot determine the exact degrees of freedom.

Answer: \(\frac{3}{2}x+y=-\frac{17}{2}\)

Step-by-step explanation:

The standard form of a linear equation is \(ax+by=c\)

So we need to solve for c

Start by simplifying everything in the equation

\(y+7=-\frac{3}{2} (x+1)\)

Use the Distributive Property

\(y+7=-\frac{3}{2}x-\frac{3}{2}\)

Now subtract 7 from both sides

\(y+7=-\frac{3}{2}x-\frac{3}{2}\\y+7-7=-\frac{3}{2}x-\frac{3}{2}-7\\y=-\frac{3}{2}x-\frac{17}{2}\)

Add \(\frac{3}{2} x\) to both sides

\(y+\frac{3}{2}x=-\frac{3}{2}x+\frac{3}{2}x-\frac{17}{2}\\\frac{3}{2}x+y=-\frac{17}{2}\)

NOTE: \(-\frac{17}{2}\) simplifies to -8.5 if you find that more desirable

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.