Explain why you cannot factor the trinomial x2 – 15x + 3

A. There are no factors of 3 that add up to -15

B. It can be factored

C. There are no factors of -15 that add up to 3.

The correct answer is A. No, because there are more than two possible outcomes, and the trials are not independent.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

Given by the question.

To have a binomial distribution, four requirements must be satisfied:

There are a fixed number of trials.

Each trial has only two possible outcomes, success or failure

The trials are independent.

The probability of success remains the same for all trials.

In the given procedure, there are more than two possible outcomes, as a teenager could have committed a crime or not, but also committed different types of crimes. Additionally, the trials are not independent, as the behavior of one teenager may influence the behavior of another teenager. Therefore, the given procedure does not result in a binomial distribution.

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Answer:

\(\frac{92}{100\\}\), 77%, 58%,  \(\frac{36}{100}\), \(\frac{11}{100}\), 3%

Step-by-step explanation:

I changed them all to percents

3 %

\(\frac{11}{100}\)  Percent means what out of 100? 11%

77%

92/100  = 92%

36/100 = 36%

58%

Answer:

14°

Step-by-step explanation:

Supplementary angles add up to 180° so subtract 166 from 180.

Answer:

The answer is D

Step-by-step explanation:

edge2020

The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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The sequence of transformations that turn the figures is (b) a reflection over line n followed by a dilation through vertex X by scale factor greater than 1

From the question, we have the following parameters that can be used in our computation:

The figures 1 and 2

To transform the figures, we can use the following sequence of transformations:

The reason for the dilation is because figure 2 is greater than figure 1

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Answer:

the discount is $8.90

Step-by-step explanation:

178 • .05 = $8.90 off of the original price

Part 2: The estimated intercept and slope (A) and the standard errors of the estimated coefficients (D) will change as a result of entering each observation twice. Part 3: The regression program predicts the dependent variable Y based on the independent variable X. The intercept term is 33.97, and the slope term is 69.53. The standard error of the regression (SER) is not provided and should be filled in. The coefficient of determination (R2) is 0.81, indicating that 81% of the variability in Y can be explained by the linear relationship with X.

Part 2:

The estimated intercept and slope (A) and the standard errors of the estimated coefficients (D) will change as a result of entering each observation twice. The intercept and slope estimates will be affected because the doubled observations will introduce more data points, leading to a different estimation of the regression line. The standard errors of the estimated coefficients will also change because they are calculated based on the variance of the residuals, and the doubled observations will alter the residuals.

Part 3:

Using the 266 observations, the regression program will produce the following results:

Y = 33.97 + 69.53X

SER = (original SER) x √2

R2 = 0.81

The standard error of the regression (SER) will change by multiplying the original SER by the square root of 2, since doubling the observations will decrease the variability in the residuals. The R2 value will remain the same because it represents the proportion of the variance in the dependent variable explained by the independent variable(s), and doubling the observations does not affect this relationship.

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The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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Answer: Area of Prism = 312 in²

Step-by-step explanation:

Formula for triangular prism:

Surface Area = Ph + 2B

P = perimeter of Base(triangle)

For perimeter we need to find what the length of that leg of base is.

Use pythagorean

c² = a² + b²

10² = 8² +b²

100  = 64 + b²

100 - 64 = b²

b² = 36

b = 6

P =  6 +`10 + 8

P = 24

h = height of the prism = 11

B = Area of the base, triangle

B = 1/2 b h           >this height is just for triangle not prism

B = 1/2 (8)(6)

B = 24

Area of Prism = Ph + 2B

Area of Prism = (24)(11) +2(24)

Area of Prism = 264 + 48

Area of Prism = 312 in²

Its speed is closest to 414m/s

given that

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in metres (m), centimetres (cm), or millimetres (mm) (mm). The wavelength is more frequently described in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (UV), and gamma radiation ().

Frequency, which is defined as the quantity of wave cycles per second, and wavelength have an inverse relationship. The wavelength of the signal decreases with increasing signal frequency.

a wave has a wavelength = 25.4cm

a frequency = 1.63khz

now, we need to find speed of the wave

speed = wavelength × frequency

speed = 25.4 × 16.3

           = 414m/s

speed = 414m/s

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The value of a digit in a number depends on its place value. The digit 4 will have a value of 40 if it is located in the tens place. The correct answer is option B: 17,524.

In the context of place value in mathematics, the value of a digit depends on its position in the number. The digit 4 would have a value of 40 if it is located in the tens place. Therefore, the correct answer to this question would be option B: 17,524, where the digit 4 is in the tens place, giving it a value of 40.

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Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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Answer:

15p+90

Step-by-step explanation:

15(p+4+2)

Add 4+2 since not doing it would make it WAY more confusing than it needs to be. Also, it's just common sense to add it first..! :D

15(p+6)

Now you just distribute <3

15p+90

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

The expression 1/7 – 3(3/7n – 2/7) is equivalent to the expression 1 – 9/7n.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ 1/7 – 3(3/7n – 2/7)

On simplifying the expression, we have

⇒ 1/7 – 9/7n + 6/7)

⇒ 1 – 9/7n

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Answer:

-9/7 n + 1

Step-by-step explanation:

On khan

Answer:

t shirt = £7

hat = £3

Step-by-step explanation:

£31 - £17 = £14

2 t shirts cost £14 so 1 t shirt costs £7

now we know 2 t shirts cost £14 so £17 - £14 = £3

a hat costs £3

Answer:

\(\large\boxed{1 t-shirt=7}\)

\(\large\boxed{1 hat=3}\)

Step-by-step explanation:

Method:

To work this out we would first need to find the difference between the contents of those two prices. in this case, it is 2 t-shirts.

Now that we know the difference in the contents of both of them is 2 t-shirts, we can work out the value of 2 t-shirts. We can do this by subtracting the value of 17 from 31, this gives us 14. This means that the price of 2 t-shirts= £14.

The next step is to work out the value of one t-shirt. We can do this by dividing the price of 14 by 2, this gives us £7. This is because the price of 2 t-shirts can be represted by \(2t\) and so to work out the value of t we would need to divide \(2t\) by 2.

Now that we know the price of 1 t-shirt is £7, we can now work out the price of 1 hat. To do this we would subtract the price of 2 t-shirts, which is £14, from the end price of £17, this gives us £3. This means that the price of a hat is £3.

Step by Step:

1) Find the difference between the contents.

2 T-shirts

2) Subtract 17 from 31.

\(31-17=14\)

3)  Divide 14 by 2.

\(14/2=7\)

4) Subtract 14 from 17.

\(17-14=3\)

Given :

The price of a sandwich is $5.50 more than the price of a smoothie, which is d dollars

so, the expression :

d + 5.5 represents : The price of of a sandwich

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer:

Rotation 90 degrees counter clockwise, dilation of 6, translation down

Step-by-step explanation:

Answer:

20/48 = 42%

Step-by-step explanation:

Number of beige tiles

Probability (Beige)

Answer:

20/48 ≈ 42%

Step-by-step explanation:

Total number of tiles = 48

Beige tiles = Total number of tiles - yellow - blue - green - red

                  = 48 - 8 - 6 - 9 - 5

                  = 20

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

\(\implies \textsf{P(coin landing on beige tile)}=\sf\dfrac{20}{48} \approx42\%\)

Answer:

Likely to get it.

Step-by-step explanation

Do you mean 1% or 1? If 1 then it is likely to pick that.

If it is 1% then it's the opposite (unlikely) to pick that.

Hopes this makes sense!

Explanation:

Total = 550

Adult tickets = x

Student tickets = x + 50

x = 550 - (x+50)

2x = 550 - 50

x = 250

Answer: 250 adults tickets were sold.

Answer: It is proportional

Answer:

hello!!!

We will learn it simple method,we know that multiplication of whole numbers is repeated addition. For example

3*4= 4+4+4

in this same way we can say that

[-12]=(-3)+(-3)+(-3)+(-3)

also,

4(*-3)=(-12)

for the second equation we can take it same as the above one

So it make no diffrence when we multiplied integers as (positive)*(negative) OR (NEGATIVE)*(POSITIVE)

And so now we can say

FOR ANY TWO POSITIVE INTEGER a and b WE CAN SAY

 (-a) *(b) = (-b)*(a) = -(a*b)

HOPE FULLY U MAY LIKED MY ANSWER GIVE POSITIVE FEEDBACK AND IF WANTS ANYTHING OTHER YOU MAY ASK ME IN COMMENT

Answer:

ΔADE is isosceles

Step-by-step explanation:

Δ ABC is isosceles

AB ≅ AC

∠B ≅ ∠C

If DE parallel to BC

AD ≅ AE

∠D ≅ ∠E

ΔADE is isosceles

The isosceles triangle is a polygon with three sides, two being equal and the other unequal.

The angles D and E will also be equal  and the A other different.

Miguel finish an 800-meter race first.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Miguel ran 80 meters in 20 seconds while Trina ran 40 meters in 15 seconds.

Hence, The speed of Miguel is,

⇒ Speed = Distance / Time

⇒ Speed = 80 / 20

⇒ Speed = 4 m/s

And, The speed of Trina is,

⇒ Speed = Distance / Time

⇒ Speed = 40/15

⇒ Speed = 2.67 m/s

Cleary, The speed of Miguel is faster than Trina.

Hence, Miguel finish an 800-meter race first.

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Answer:

81 inches^3

Step-by-step explanation:

The empty space at the top is

3 inches wide by 9 inches long by (12-9) inches tall

3*9*3 = 81 inches^3