If 2/3x − 1 = 4, then x=

Answer:

Attached file is the solutions

Step-by-step explanation:

A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

Read more on box plot here: brainly.com/question/14277132

#SPJ1

Answer:

Step-by-step explanation: You start by subtracting the original price from the new price.

Which is $42 from $33.60

$42-$33.60=$8.40

So $8.40 is your discount rate.

Answer:

4:12

4/12

4 to 12

The values nearest to these middle elements are 60 and 63 inches.

The dataset is given as:

62 33 50 90 80 50 40 70 50 63 74 53 55 64 60 60 78 70 43 82

Then, we sort the information elements in ascending request

33 40 43 50 50 50 53 55 60 60 62 63 64 70 70 74 78 80 82 90

The length of the dataset is 20.

Thus, the elements at the middle are the tenth and the 11 elements.

From the arranged dataset, these elements are: 60 and 62

Thus, the values nearest to this median are 60 and 63

to know more about the median click here:

https://brainly.com/question/14532771

#SPJ1

Answer:

Follows are the responses to the given question:

Step-by-step explanation:

In point a:

z score for 3:

\(= \frac{(3 - 5.3)}{1.1} \\\\ =-2.09\)

So,

P(Less than 3.0 mm):

 \(=P(z < -2.09)\\\\ = 0.0183\)

In point b:

z score for 7:

\(= \frac{(7 - 5.3)}{1.1} \\\\= 1.55\)

So,

P(Less than 3.0 mm):

\(= P(z > 1.55) \\\\= 0.0611\)

In point C:

P(Between 3 and 7):

\(= P(-2.09 < z < 1.55)\\\\\ = 0.9206\)  

Answer:

100 miles

Step-by-step explanation:

Let m be the number of miles.

\(100 + .30m = 50 + .80m\)

\(100 = 50 + .50m\)

\(.50m = 50\)

\(m = 100\)

Answer:

100

Step-by-step explanation:

You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.

Answer:

9,000

Step-by-step explanation:

it you count with time by ×it would be 9,000 because just add that up with money

Answer:

C. 23

Step-by-step explanation:

Add then divide by 7

Answer:

x cannot equal 3

Step-by-step explanation:

you cannot have a zero on the denominator so when the denominator equal zero, thats your domain restriction.

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

The number of years it would take the investment to double in value is 13.2 years.

When the amount doubles, the interest earned would be $6200.

Time = interest earned / (amount invested x simple interest)

$6200 / (6200 x 0.076) = 13.2 years

To learn more about simple interest, please check: brainly.com/question/27328409

#SPJ1

The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

learn more about probability from

https://brainly.com/question/24756209

#SPJ1

Answer:

Step-by-step explanation:

A = P * (1 + r/n)^(n*t

The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 750(1.0002)^4t. (in dollars)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

For this case, we're given that:

Initial amount Christina deposits = P = $750

Rate of interest = 2% compounding quarterly

Time = t years

Rate of interest is compounding quarterly.

Each year has 4 quarters.

Quarterly interest rate compounding quarterly = 2%.

t years has 4t quarters = T

Thus, we get the final amount in Christina’s account as

A = P * (1 + r/n)^(n*t)

A = 750(1 + 0.02/100)^4t

A = 750(1.0002)^4t

Thus, the function that gives the amount of money in dollars, J(t), in Christina’s account t years after the initial deposit is A = 750(1.0002)^4t (in dollars)

Learn more about compound interest here:

brainly.com/question/11897800

#SPJ1

The  sum, in degrees, of the measures of the interior angles of a pentagon is 540∘.

Pentagon can be described as the figure that posses five sides which are are equal and the sum of interior angles of an n-sided polygon  can be calculated using the formula below which is

(n−2)×180∘

then we know that the number of sides that can be attributed to the regular pentagon is 5, because it is a figure that has 5 sides

then we substitutes the value of the number of sides into the equation then we will have the Sum of the interior angles  as [(5−2)×180 ∘]

=540∘

Read more about pentagon at:

https://brainly.com/question/364408

#SPJ1

Check the complete question:

What is the sum, in degrees, of the measures of the interior angles of a pentagon?

Answer:

Step-by-step explanation:

3*2t

substitute the value of t

=3*2*4

=24

Answer:

24

Step-by-step explanation:

so you do

3x 2(4) subsuite the t for the 4

then  do 2*4= 8

then d0 3x8= 24

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2^2 x 5^2 = 100

Answer:

84/6=14

84+14=98

98/30=3.2

4 buses are needed

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

Read more about  tangents at: https://brainly.com/question/28035740

#SPJ1

Answer:

No

Absolute Value is the Distance From Zero, and distance is always NON-negative.

Step-by-step explanation:

Answer: No

Step-by-step explanation:  │ – 4│= 4 because it is four spaces away from zero  <---,----,----,--->

             -4   0    4

The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.

Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:

(x - h)² = 4p(y - 1)

The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:

√((13 - h)² + (a - 1)²) = p

Similarly, write an equation for the distance between the vertex and point B:

√((4 - h)² + (b - 1)²) = p

A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:

2(13) - a - 13 = 0

2(4) - b - 13 = 0

Solving these equations gives us a = 3 and b = -5.

Now three equations and three unknowns (a, b, and h):

√((13 - h)² + 4) = p + 1

√((4 - h)² + 36) = p + 1

2h - 3 - 13 = 0

The third equation simplifies to 2h = 16, or h = 8.

Substituting this value of h into the first two equations and squaring both sides:

(13 - 8)² + 4 = (p + 1)²

(4 - 8)² + 36 = (p + 1)²

Simplifying these equations and solving for p gives us p = 3.

Finally, find a" + bP by substituting the values found for a, b, and p:

a" + bP = 3 + (-5)(3) = -12

Therefore, the solution is a" + bP = -12.

Find out more on parabola here: https://brainly.com/question/25651698

#SPJ1

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

Read more on perimeter of a shape;

https://brainly.com/question/303508

#SPJ1

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

Answer:

a) \( P(X=3) = 0.1\)

b) \( P(X\geq 3) =1-P(X<3) = 1-P(X\leq 2) = 1-[P(X=0) +P(X=1)+P(X=2)]\)

And replacing we got:

\( P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4\)

c) \( P(X=4) = 0.3\)

d) \( P(X=0) = 0.2\)

e) \( E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2\)

f) \( E(X^2)= \sum_{i=1}^n X^2_i P(X_i)\)

And replacing we got:

\( E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4\)

And the variance would be:

\( Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4\)

And the deviation:

\( \sigma =\sqrt{2.4} = 1.549\)

Step-by-step explanation:

We have the following distribution

x      0     1     2   3   4

P(x) 0.2 0.3 0.1 0.1 0.3

Part a

For this case:

\( P(X=3) = 0.1\)

Part b

We want this probability:

\( P(X\geq 3) =1-P(X<3) = 1-P(X\leq 2) = 1-[P(X=0) +P(X=1)+P(X=2)]\)

And replacing we got:

\( P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4\)

Part c

For this case we want this probability:

\( P(X=4) = 0.3\)

Part d

\( P(X=0) = 0.2\)

Part e

We can find the mean with this formula:

\( E(X)= \sum_{i=1}^n X_i P(X_i)\)

And replacing we got:

\( E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2\)

Part f

We can find the second moment with this formula

\( E(X^2)= \sum_{i=1}^n X^2_i P(X_i)\)

And replacing we got:

\( E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4\)

And the variance would be:

\( Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4\)

And the deviation:

\( \sigma =\sqrt{2.4} = 1.549\)

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

Learn to solve more equations here: https://brainly.com/question/9236233

#SPJ1

Answer:

y= \(\frac{-3}{5}x -2\)

Step-by-step explanation:

find the gradient by rearranging the equation, y= \(\frac{-3}{5}x\) +\(\frac{18}{5}\)

from here we can see that the slope or gradient is \(\frac{-3}{5}x\)

now using the equation y-y2 = f'(x1)(x-1) we find the equation by subbing

= y- (-4) = \(\frac{-3}{5}\) (x - [-10])

= y + 4 = \(\frac{-3}{5}x -6\)

= y= \(\frac{-3}{5}x -2\)