A dice is rolled twice.
What is the probability of getting a 2 AND a 5?

The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

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Answer:

Sardar has a 29% chance of inheriting at least some money.

Step-by-step explanation:

Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:

(1/3 + 1/4) / 2 = X

(0.333 + 0.25) / 2 = X

0.58333 / 2 = X

0.29 = X

Therefore, Sardar has a 29% chance of inheriting at least some money.

Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.

This can be found by the formula:

= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money

Solving gives:

=  1/4 + 1/4 - (1 / 4 x 1 / 4 )

= 1/2 - 1/16

= 0.4375

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A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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Answer:

Step-by-step explanation:

easy its A tell me if u got it correct good job (:

Answer:

108=2r-21+7r-6

Step-by-step explanation:

hope this helps you ;)

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

t=7

Step-by-step explanation:

10t-15-7.5t=6-0.5t

2.5t-15=6-0.5t

2.5t+0.5t=6+15

3t=21

t=7

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

Keep the exact order that is shown

Step-by-step explanation:

The first exponential already has a point at (1, -2) which means the y-intercept would be less than -2, which is the lowest among the three

The second has a y-int at -2

Third has y-int at 2

Answer:

A

Step-by-step explanation:

no explanation but the answers isA

The algebraic rule that describes the reflection FG is  (x, y) → (−x, y), option C is correct.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given line FG is reflected to get F'G'

A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points.

Let us take a point G.

The coordinates of G are (1, -5)

Now the coordinates of G' are (-1, -5)

Which means the y coordinates remain same but the x coordinates is multiplied with negative sign

(x, y) → (−x, y) is the required rule

Hence, the algebraic rule that describes the reflection FG is  (x, y) → (−x, y), option C is correct.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

I'm stuck on the same question

Step-by-step explanation:

To obatin the graph of y=(x-8)^2 shifts the graph of y=x^2 8 units right

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

y=(x-8)^2

y = x^2

In the above equations, we can see that

The value of 8 is subtracted from x in y = x^2 to get y = (x - 8)^2

This represents a right translation by 8 units

Hence, the translation is 8 units to the right

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The linear equation in the form p(n) = mn + b that gives the price p they can charge for n shirt is p(n) = - 1 / 250n + 34.

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the clothing business finds there is a linear relationship between the number of shirts, n,  it can sell and the price, p , it can charge per shirt.  1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 .

Therefore,

using  (1000, 30) and (3000, 22) let's find the slope.

m = 22 - 30 / 3000 - 1000

m = - 8 / 2000

m = - 1 / 250

Hence, let's find the y-intercept using (1000, 30)

p(n) = mn + b

where

Therefore,

30 = - 1 / 250 (1000) + b

30 = - 4 + b

b = 30 + 4

b = 34

Hence, the linear equation is p(n) = - 1 / 250n + 34

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Answer:

  x = 3

Step-by-step explanation:

Maybe you want the value of x such that ...

  4(6^x) = 864

Dividing by 4 gives ...

  6^x = 216

You may know that 216 = 6^3. Using that, we can equate exponents:

  6^x = 6^3

  x = 3

Alternatively, we can use logarithms to find x. Taking logs gives ...

  x·log(6) = log(216)

  x = log(216)/log(6) = 3

1) We were told to find a quartic model, so clearly we can focus on the 4th-degree polynomials.

2) Once we do that, let's test each of the entries and their outputs plugging into x the year:

Note that the first year is 2000, So, P(0) refers to 200, and P(3) refers to 2003.

Since we want to find an estimate for 2010 let's plug into that x=10

So, the answer is the third from top to bottom.

Answer:

-64

Step-by-step explanation:

-4x-4x-4

To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

p ∨ q

Step-by-step explanation:

I took the test and got a 100

The correct statement for the shape being a rectangle is p ∨ q

Any figure bounded by 3 sides and sum of all the internal angles is 180° is called a triangle.

Any figure bounded by four sides, where the opposite sides are equal and all the internal angles are 90° is called a rectangle

As we know a triangle cannot have four sides, so p cannot imply q and vice versa.

According to the problem,

This is a contradiction.

So for the shape being a rectangle the correct option will be p v q(p intersection q)

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer: 70 ft

Step-by-step explanation:

Given

height of book is measured by the function is

\(h(x)=-5(x+2)(x-7)\)

when the book is thrown \(x=0\)

\(\therefore h(x=0)=-5(0+2)(0-7)\\\Rightarrow h(x=0)=70\ ft\)

The height of the book is \(70\ ft\)

Answer:

x⁻²

Step-by-step explanation:

\(\frac{x^6}{x^8} = \frac{1}{x^2} = x^-^2\)

In the form of xⁿ , the expression is x⁻²

An expression is a mathematical statement which consist of variables , constants and mathematical operators.

The expression given is

\(\rm \dfrac{x^6}{x^8}\)

By the exponent rule

\(\rm \dfrac{a^m}{a^n} = a^{m-n}\)

so,

\(\rm x^{6-8}\\x^{-2}\)

Therefore in the form of xⁿ , the expression is x⁻² .

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One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.

As per the given data:

The number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $80 to spend on them

Inequality is the nonequal comparison of two or more variables and numbers.

So the first inequality is

7 x + 4 y ≤ 80

Since she must buy no less than 16 bags of popcorn and candies

The second inequality is

x + y ≥ 16

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (9,5)

(Graph attached at the end of solution)

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The theorem correctly justifies why the lines m and n are parallel when cut by transversal k converse of the alternate interior angles theorem

The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines.

According to the ques

m and n are horizontal parallel line and k is transverse

The intersection of lines k and m, the bottom left angle = 50 degrees

The intersection of lines k and n, the uppercase right angle = 50 degrees.

Now,

Both angles are equal because of the theorem of alternate interior angles  or line are parallel because of this theorem .

Hence, The theorem correctly justifies why the lines m and n are parallel when cut by transversal k converse of the alternate interior angles theorem

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Answer:

b

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

if you subtract 12 - 4 you get 8 and 4/8 = 1/4

Answer: you need to add

Step-by-step explanation: I would ask your teacher to help you understand the lesson.  

Answer:

I assume it would be 15 loves of banana bread.

Step-by-step explanation:

if you do 8 loves of pumpkin bread, you get $24 profit.

If you do 15 loves of banana bread, you get $37.50 in profit.

To maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.

" Linear inequalities are defined as algebraic expression which are related with the sign of inequality."

According to the question,

'x' represents the number of loaves of banana bread

'y' represents the number of loaves of pumpkin bread

As per the given condition,

Total profit  on making bread \('P' = 2.50x + 4.00y\)     ____(1)

Linear inequalities are

\(2x + 3y\leq 30\\\\x+ 2y \leq 16\)

By solving linear inequalities we get,  

\(x= 12\\ \\y =2\)

As shown in the diagram drawn , point of intersection  is (12,2) for the given inequality.

Substitute the value of 'x' and 'y' in (1) to get the maximize profit ,

Maximize profit ' P' \(= 2.50(12) + 4 (2)\)

                          \(= 30 + 8\\= \$38\)

Hence, to maximize the profit of $38 , baker should make 12 loaves of banana bread and 2 loaves of pumpkin bread.

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