The table shows the marginal relative frequencies of surveyed drivers’ plans for their next vehicle.

A 2-way table. A 5-column with 4 rows titled Plan for Next Vehicle. Column 1 has entries Current vehicle, bought new, bought used, leased total. Column 2 is labeled Buy new with entries 0.156, 0.076, 0.02, 0.252. Column 3 is labeled Buy used with entries 0.024, 0.584, 0.008, 0.616. Column 4 is labeled Lease with entries 0.024, 0.036, 0.072, 0.132. Column 5 is labeled Total with entries 0.204, 0.696, 0.1, 1.000.

Which statements appropriately interpret data from the table? Check all that apply.

The majority of drivers, about 62 percent, plan to buy a used vehicle next.
About 25 drivers plan to buy a new vehicle next.
Ten percent of drivers lease their current vehicle.
Only 1.3 percent of drivers plan to lease next.
The least percentage of people will lease their next car.

Answer:

x=20

Step-by-step explanation:

Since BAC and EDC are the same (ACB and DCE are congruent), 2x+10=3x-10, x=20

Answer:

1/4

3/8

5/8

2/5

Step-by-step explanation:

From the table :

1.)

P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4

2.)

P(comedy) = (comedy total / total) = 6 / 16 = 3/8

3.)

P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8

4.)

P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5

Answer:

The answer is 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(a) Hence the maximum error in the calculated area of the disk is 32.67[tex]cm^{2}[/tex].

(b) Hence the relative error is 1.54%.

Step-by-step explanation:

Here the given are,

The Radius of the circle r = 26cm.

The maximum error in measurement dr = 0.2 cm.

Answer:

(a) [tex]A =(4245.28\pm32.66) cm^2[/tex]

(b) [tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]

Step-by-step explanation:

radius, r = 26 cm

error = 0.2 cm

(a) The area of the disc is given by

[tex]A = \pi r^2\\\\dA = 2\pi r dr\\\\dA = 2 \times 3.14\times 26\times 0.2= 32.66[/tex]

Now

A = 3.14 x r x r = 3.14 x 26 x 26 = 4245.28 cm^2

So, the area with error is given by

[tex]A =(4245.28\pm32.66) cm^2[/tex]

(b) The relative error is

[tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]

Answer:

4 and -1

Step-by-step explanation:

A quadratic function is given to us and we need to find the x Intercepts of the given function . The function is ,

[tex]\bf \implies g(x) = -2( x -4)(x+1)[/tex]

Step 1 : Equate the function with 0,

[tex]\bf \implies -2( x -4)(x+1) = 0 [/tex]

Step 2: Equating with 0 :-

Now equate each factors seperately with 0 , to get the x Intercepts.

Step 3: Finding the intercepts :-

[tex]\bf \implies x - 4 = 0 \\\\\implies\boxed{\bf\blue{ x = 4 }} [/tex]

Again ,

[tex]\bf \implies x + 1 = 0 \\\\\implies\boxed{ \blue{\bf x = -1}} [/tex]

Hence the x intercepts are 4 and -1 .

Answer:D (4,0) and (-1,0)

Step-by-step explanation:

Answer:

C'D' = 4

Step-by-step explanation:

When the figure is reflected, the length of the segments does not change.

CD = 4 so C'D' = 4

Answer:

4 units

Step-by-step explanation:

a reflection is a rigid transformation, meaning that the size and shape of the figure does not change. therefore, the length of C'D' will be the same as the length of CD.

Length of CD: 4 units

so,

C'D'=4units

Answer:

44

Step-by-step explanation:

gradpoint

Answer:

37.3

Step-by-step explanation:

19tan(63) = x = 37.289... = 37.3

Step-by-step explanation:

cos=ROQ

Sin=QOP

HOPE THIS HELP

Answer:

so y = 48 when x = 4

Step-by-step explanation:

if y = 24, x = 2

or, if x = 2, y = 24

so, if x = 1, y = 24/2

so, if x =1, y = 12

then if x = 4, y = 12×4 = 48

The required simplified value of the y at x = 4 is given as y = 192.

Given that,
y varies directly as the cube of x, and y = 24 when x = 2.
To determine y at x = 4.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
According to the question,
y ∝ x³
From the above property,
y₁/y₂ = [x₁ / x₂]³
Substitute the value in the equation,
24/y₂ = [2/4]³
y₂ = 64/8 × 24
y₂ = 192

Thus, the required simplified value of the y at x = 4 is given as y = 192.

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Answer:

1 page of a report per hour

Step-by-step explanation:

2/2= 1 page per hour

Lets find unit rate

[tex]\\ \sf\longmapsto \dfrac{2\dfrac{1}{2}}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{2}\div 2[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 1.2pages/hour[/tex]

Answer:

OS = 10

Step-by-step explanation:

We can use a ratio to solve

QP     PR

-----  = ------

QO     OS

14          7

-----   = -------

14+6      OS

14          7

-----   = -------

20        OS

Using cross products

14 * OS = 7*20

14 OS = 140

Divide by 14

OS = 140/14

OS = 10

Answer:

5x³ - 4x + 1

Step-by-step explanation:

1.) 2x³ + 3x³ = 5x³

2.) 4x - 8x = -4x

3.) -6 + 7 = 1

4.) Line them up: 5x³ - 4x + 1

I hope this helps and sorry if it's wrong

Answer:

Answer is B. 76.

Step-by-step explanation:

Let thw unknow angle be y

sin y = p/h

sin y = 32/33

y = sin‐¹(32/33)

y = 75.85888977

so y = 75.9 = 76

Answer:

$1

Step-by-step explanation:

I assume by 10, you mean 10 dollars so you do $11 - $10 to get your answer of $1. The pen costs $1.

Hope it helps c:

The pen and the notebook together cost 11 dollars and the pen itself cost 0.5 dollars.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A notebook and a pen together cost 11$.

The notebook costs 10 more than the pen.

Assuming the pen costs x dollars then the notebooks costs (x + 10) dollars.

∴ x + x + 10 = 11.

2x = 1.

x = 1/2.

So, the cost of the pen is 0.5 dollars and the cost of the notebook is 10.5 dollars.

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Answer:

15*16*17*18*19*20 I thank it is your answer

Answer:

Step-by-step explanation:

2(lb+bh+hl) is the formula for surface area. So,

2(54+81+54) = 2(189) which is 378.

I think the surface area is 378 square inches, or 378 in^2

Answer: The probability would be zero

Step-by-step explanation:

There are two children and one is a boy, so the probability of both being girls is a zero

Answer:

C

Step-by-step explanation:

Hypergeometric distribution

[tex]\frac{{6\choose2}}{{12\choose2}}=\frac{15}{66}= \frac{5}{22}[/tex]

Answer:

Step-by-step explanation:

If the three points are collinear, the slopes of RS and ST are same:

Since the sloes are equal we have the following equation:

Slopes must be equal

slope of RS

Now

Slope of ST=-2

Answer:

The last choice

Step-by-step explanation:

:)

Answer

Step-by-step explanation:

Step-by-step explanation:

here's the answer to your question

Answer:

Surface area = 90 cm²

Step-by-step explanation:

Given net of the rectangular prism shows the dimensions as,

Length = 5 cm

Width = 5 cm

Height = 2 cm

`Expression for the surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = length

w = width

h = height

By substituting the values in the expression,

Surface area = 2(5×2 + 5×2 + 5×5)

                      = 2(10 + 10 + 25)

                      = 90 cm²

Answer:

Step-by-step explanation:

The distance AB across the river is approximately 171.4 meters

The known parameters are;

The distance BC laid off on one side of the river = 415 m

The measure of ∠B = 112.2°

The measure of angle ∠C = 18.3°

The unknown parameter;

The distance AB across the river

Strategy;

Taking the points A, B, and C, being the vertices of the triangle, ΔABC, and apply sine rule to find distance AB;

By the angle sum property, the measure of angle, ∠A = 180° - (∠B + ∠C)

∴ ∠A = 180° - (112.2° + 18.3°) = 49.5°

By sine rule, we get;

[tex]\mathbf{\dfrac{a}{sin (\alpha)} = \dfrac{b}{sin (\beta)} = \dfrac{c}{sin (\gamma)}}[/tex]

Therefore;

[tex]\mathbf {a = sin (\alpha) \times \dfrac{b}{sin (\beta)}}[/tex]

Plugging in α = AB, [tex]\alpha[/tex] = ∠C = 18.3°, b = BC = 415, β = ∠A = 49.5°, we get;

[tex]AB = sin (18.3 ^{\circ}) \times \dfrac{415}{sin (49.5^{\circ})} \approx 171.4[/tex]

The distance across the river, AB ≈ 171.4 m

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