2. What are all the possible rational roots of the polynomial P(x) = 5* + 2003 + 2x2 +4?
0, +1, +2, +4
+1, +2, +4, +8
+1, +2, +4
+1, +2

Mile/minute unit rate is represents the faster car.

A common unit of measurement is the mile (mi). It is typically used it to represent the distance among cities, the length of rivers, and the distance between roadways. The letter "mi" stands for the unit mile in writing. Therefore, a marathon race would be roughly 26.3 mile or 26.3 mi in length.

How are miles measured?

Any point on the map that's not a location's name or emblem should be touched and held.

Count the distance between two points.

The total mileage in mile and km is shown at the bottom (km).

You can add several points, as a tip.

Tap Undo to take away the most recent addition you made. Tap More in the top right corner to erase every point. Clear.

To know more about mile visit:

brainly.com/question/23245414

#SPJ1

Distance 10(miles) Which unit rate represents the faster car? Time(minutes)

Therefore, the sampling distribution will be centered around 0.01, with a standard deviation of 0.0098.

In a random sample of 500 toys from the manufacturer batch, the fraction of defective toys will have a sampling distribution that is roughly normal.

The population proportion of defective toys will be used as the sampling distribution's mean, which is 1% or 0.01. This is thus because a proportion of the sample is a fair estimate of a proportion of the population.

The following formula can be used to determine the standard error, also known as the standard deviation, of the sample distribution:

SE is equal to sqrt[(p*(1-p))/n]

where n is the sample size, 500, and p is the population proportion of faulty toys, which is 0.01.

These values are substituted into the formula to produce:

SE is equal to sqrt[(0.01*(1-0.01))/500] = 0.0098

Learn more about standard deviation here:

brainly.com/question/23907081

#SPJ1

\(\\ \sf\longmapsto 8x-38=90\)

\(\\ \sf\longmapsto 8x=90+38\)

\(\\ \sf\longmapsto 8x=128\)

\(\\ \sf\longmapsto x=16\)

Now

\(\\ \sf\longmapsto z+90=180\)

\(\\ \sf\longmapsto z=90\)

The experimental probability of landing on a number less than 4 is 36 over 60, or 3 over 5.

Probability is a mathematical concept used to describe the likelihood or chance of a specific event occurring within a set of possible outcomes. It is a way to quantify the uncertainty associated with a particular event. The probability of an event can be expressed as a decimal, a fraction, or a percentage. A probability of 0 indicates that an event is impossible, while a probability of 1 means that the event is certain to occur. A probability between 0 and 1 indicates that the event is uncertain and may or may not occur.

Here,

The experimental chance of landing on a number smaller than four is 36/60, or 3/5.

To know more about probability,

https://brainly.com/question/30034780

#SPJ1

Answer:

each student will get 3 peices of candy and the teacher will get 16

Answer:

Simplify the expression.

X+10x+1

Answer:

X+10x+1

Step-by-step explanation:

this would be your answer

Answer:

\( 2.58 \times {10}^{8} \)

Step-by-step explanation:

\(9.3. {10}^{7} - 3.4. {10}^{6} \\ = (27 \times 10 - 12) \times {10}^{6}\\ = (270 - 12) \times {10}^{6} \\ = 258 \times {10}^{6} \\ = 2.58 \times {10}^{6 + 2} \\ = 2.58 \times {10}^{8} \)

Answer: i don't know

Step-by-step explanation:

what is this

also i need points! sry

Answer:  \(0 \le p(a) \le 1\)

The smallest p(a) can get is 0. The largest is 1. Both endpoints are included.

Explanation:

I'm assuming p(a) refers to a probability. If so, then p(a) = 0 means there's a 0% chance of the event happening. On the opposite end of the spectrum, p(a) = 1 means there's a 100% chance of the event happening. Most probabilities will fall somewhere in between.

Examples:

Answer:

CD= 4.25

Step-by-step explanation:

so CD is similar to RS

and the difference between the shapes are 3.75cm.

so 8 - 3.75 =4.25

Answer:Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15

x = arctan (8/15)

x = 28.1° (rounded)

Step-by-step explanation:

Answer:

a square has all its sides equal so you divide by 4

to get 9cm

Answer:

4cm

Step-by-step explanation:

4tmes side gives as perimeter

4side =36

x=4

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

To know more about change iin percentage here

https://brainly.com/question/14801224

#SPJ4

Answer:

C

Step-by-step explanation:

I think because there is no space or a sign in-between the f and 5, which means you multiply.

The value of the sin theta will be equal to \(Sin\theta =\sqrt{\dfrac{2}{3}}\)

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Given that:-

The value of Sin will be calculated as:-

\(Sin^2\theta +Cos^2\theta = 1\\\\Sin^2\theta + \dfrac{\sqrt{3}}{2}=1\\\\Sin^2\theta = 1 -\dfrac{1}{3}\\\\Sin\theta = \sqrt{\dfrac{2}{3}}\)

We can see that the value of sin is less than zero therefore

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

The standard form of a parabola is y = a(x - h)^2 + k, where (h,k) is the vertex of the parabola and "a" determines whether the parabola opens up (if a > 0) or down (if a < 0).

what is parabola?

A parabola is a U-shaped symmetrical curve. It is a type of conic section, formed by intersecting a cone with a plane parallel to its side. The shape of a parabola is determined by its equation, which can be written in standard form as y = ax^2 + bx + c, where a, b, and c are constants. The vertex of the parabola is located at the point (-b/2a, c - b^2/4a), and the axis of symmetry is a vertical line passing through the vertex. Parabolas have many applications in mathematics and physics, including in the design of reflective surfaces such as telescopes and satellite dishes.

what is symmetrical?

Symmetrical refers to having or exhibiting symmetry, which is a property of a shape or object that can be divided into two or more identical parts. When a shape or object is symmetrical, it looks the same on both sides of the line of symmetry. For example, a circle is symmetrical because any line passing through its center will divide it into two identical halves. A human face is also symmetrical because the left side and the right side are nearly identical. In mathematics, symmetry is an important concept that appears in various fields, including geometry, algebra, and calculus.

To learn more about parabola visit:

brainly.com/question/31142122

#SPJ11

Answer:

A: 0.55 < \(\frac{6}{9}\)

C: 0.70 < \(3\frac{4}{5}\)

D: 5 < \(2\frac{3}{4}\)

Step-by-step explanation:

Turn all the fractions into decimals.

A: 0.55 < 0.67 (Correct)

B: 5.15 = 5.33 (Incorrect)

C: 0.70 < 3.8 (Correct)

D: 2.5 < 2.75 (Correct)

The scale factor that was used to create triangle J′K′L′ is 1/3.

The size by which the shape is enlarged or reduced is called as its scale factor. It is used when we need to increase the size of a 2D shape, such as circle, triangle, square, rectangle, etc.

Given the graph, we have the following highlights:

KL = 3

K'L' = 1

The scale factor (k) from JKL to J'K'L is calculated as:

\(\text{Scale factor} = \dfrac{\text{K'L'}}{\text{KL}}\)

This gives

\(\text{k} = \dfrac{1}{3}\)

Therefore, the scale factor that was used to create triangle J’K’L’ is 1/3.

For more information on the scale factor, please refer to the link below.

https://brainly.com/question/29464385

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

1 /2

Step-by-step explanation:

Sample space of number cube : (1, 2, 3, 4, 5, 6)

Odd numbers on cube : (1, 3, 5) = 3 odd numbers

Since each roll of number cube is independent, the number of times it has landed between fire does not matter :

Therefore, probability of landing on a odd number is :

P = required outcome / Total possible outcomes

P = 3 / 6

P = 1/2

The number of grains on square 59 will be 5.7646075230342 x 10^17grains.

No. of grains on the first square = 1 = 2^0

No. of grains on the second square = 2 = 1*2 = 2¹

No. of grains on the third square = 4 = 2*2 = 2²

No. of grains on the fourth square = 8 = 2*4 = 2³

From the pattern it could be seen that amount of wheat is doubled for every next square

So, the number of grains in the nth square = 2^n-1

Therefore, No. of grains on 59th square

= 2^59 -1 =

= 5.7646075230342 x 10^17

Learn more about sequence on:

https://brainly.com/question/6561461

#SPJ1

By answering the presented question, we may conclude that P(990< X <1150) = normal distribution  P[(990-1000)/100 < Z < (1150-1000)/100] = P(-1.0 < Z < 1.5) = 0.7745

The normal distribution is an example of a continuous probability distribution, in which the majority of data points cluster at the middle of the range and the remaining ones drop symmetrically towards one of the extremes. The mean of the distribution is another term for the range's centre. According to the normal distribution, also known as the Gaussian distribution, which is symmetrical around the mean, data that are close to the mean are more frequent than data that are far from the mean. I'm utilising heuristics in normal distribution to obtain a student's SAT scores from a new exam prep course. The data exhibit a normal distribution with a mean (M) of 1150 and a standard deviation (SD) of 150.

Question 1:

a) P(Z<1.72) = 0.9582 (using standard normal distribution table or calculator)

b) P(Z>1.1) = 0.1357

c) P(1.1<Z<1.70) = 0.0808

Question 2:

a) P(X<1070) = P(Z<(1070-1000)/100) = P(Z<0.7) = 0.7580

b) P(990< X <1150) = P[(990-1000)/100 < Z < (1150-1000)/100] = P(-1.0 < Z < 1.5) = 0.7745

To know more about normal distribution visit:

https://brainly.com/question/29509087

#SPJ1

To determine the coordinates of vector AT in this base, we first need to find the coordinates of points B' and C.

Let's start by finding the coordinates of B'. Since B' divides side CA in the ratio 4:4 from C, we can use the following formula to find its coordinates:

B' = (4C + 4A)/8

Simplifying this expression, we get:

B' = (C + A)/2

Similarly, we can find the coordinates of C using the fact that it divides AB in the ratio 3:5 from A:

C = (3A + 5B)/8

Now, we can use these coordinates to find the equation of lines BB' and CC.

The equation of line BB' can be found using the point-slope form:

BB': y - yB = (yB' - yB)/(xB' - xB) * (x - xB)

Substituting the coordinates of B and B', we get:

BB': y - 0 = (yB'/2)/(xB'/2) * (x - 1)

Simplifying this expression, we get:

BB': y = (yB'/xB') * x - yB'/2

Similarly, we can find the equation of line CC:

CC: y = (yC'/xC') * x - yC'/2

Now, we can find the coordinates of point T by solving the system of equations formed by the equations of lines BB' and CC:

(yB'/xB') * x - yB'/2 = (yC'/xC') * x - yC'/2

Simplifying this expression, we get:

x = (yC' - yB') / ((yC'/xC') - (yB'/xB'))

Substituting this value of x into the equation of line BB', we get:

y = (yB'/xB') * ((yC' - yB') / ((yC'/xC') - (yB'/xB'))) - yB'/2

Simplifying this expression, we get:

y = ((yB' * xC') - (yC' * xB')) / (2 * (xC' - xB'))

Now, we can find the coordinates of point T:

T = (x, y)

Substituting the coordinates of B', C, and T into the expression for vector AT, we get:

AT = T - A

Simplifying this expression, we get:

AT = ((x - xA), (y - yA))
In triangle ABC, let B' and C' be points on sides CA and AB, respectively. B' divides CA in a 4:4 ratio from C, meaning CB':B'A = 4:4, and C' divides AB in a 3:5 ratio from A, meaning AC':C'B = 3:5.

Let A be the origin, and let AB = a and AC = b be the vectors forming a base in the plane. Since B' divides CA in half, the position vector of B' is the midpoint of CA, so B' = (1/2)b. Similarly, C' divides AB in a 3:5 ratio, so C' = (5/8)a.

Now, let's consider triangle B'C'T. Since T is the intersection of BB' and CC', we can write the vectors BT and CT in terms of B'T and C'T, respectively:

BT = B'T + TB
CT = C'T + TC

Since B'T and C'T are parallel to b and a, respectively, we can write:

BT = k1 * b
CT = k2 * a

Here, k1 and k2 are constants. Now, using the ratios CB':B'A and AC':C'B, we can write:

k1 * b = 4 * (TB - (1/2)b)
k2 * a = 5 * (TC - (5/8)a)

Finally, we want to find the vector AT. Since AT = TB + TC, we can substitute the expressions for TB and TC from the above equations and solve for AT:

AT = (k1 * b + (1/2)b) + (k2 * a + (5/8)a)

The coordinates of the vector AT are given in terms of the base vectors a and b, with the constants k1 and k2 accounting for the position of the point T in the triangle.

Visit here to learn more about coordinates brainly.com/question/16634867

#SPJ11