A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs. To the nearest whole percent, what is the probability that a car is an SUV, given that it is white? 9% 15% 21% 57%

Solution:

Drawn an equilateral triangle of side 2 inches.

One side is parallel to Bottom of page.

Then from the center of the right side draw two parallel lines an inch apart and an inch long.

Then drawn a line from the end of one of the parallel lines to the end of the other parallel line.

The Arrow is pointing in East of South or South of East and North of West or West of North Direction.

Answer:

0,00000000861

hope this helps all u k12 cheaters. :)

The rate of Glenn in finishing a job would be equivalent to:

Rate (G) = 1 job / 20 minutes

While the rate of Veronika is:

Rate (V) = 1 job / x                 ---> x is the unknown

Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:

1 / 20 – 1 / x = 1 / 60

The rate of Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn down. Solving for x:

Multiply both sides by 60 x

(1 / 20 – 1 / x = 1 / 60) * 60 x

3 x – 60 = x

2 x = 60

x = 30

Therefore it takes 30 minutes for Veronika to pull everything out.

I will give you the simple version, if it takes 30 min for the brother to clean and the sister takes 20 minites to mess it up before he cleaned, then the sister messed the room up for 30 min because 30x2= 60.

The value of the original number obtained using a system of linear equations is 68

Let the two digit number = ab

We can create the system of equations as follows :

b - a = 2 - - - - - - - - - - - - (1)

(10b + a) + (10a + b) = 154

10b + a + 10a + b = 154

11b + 11a = 154 - - - - - - - - - (2)

From (1) :

b = 2 + a ----- (3)

Substitute b = 2 + a into (2)

11(2 + a) + 11a = 154

22 + 11a + 11a = 154

22 + 22a = 154

22a = 154 - 22

22a = 132

a = 132 / 22

a = 6

From (3) :

b = 2 + 6

b = 8

Therefore, the original number, ab = 68

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52 cards total

26 are red

 so you would have a 26/52 reduced to 1/2 probability of picking a red one.

 There are 4 aces so you would have a 4/52 reduced to 1/13 probability of picking an ace.

 There are 2 red aces so you would have a 2/52 reduced to 1/26 probability of picking a red Ace

To calculate the probability of getting exactly 7 tails in 16 tosses of a fair coin, use the binomial probability formula with p = 0.5, q = 0.5, n = 16, and k = 7. Calculate C(16, 7) and then multiply it by (0.5^7) × (0.5^9) to find the probability.

Calculating Probability of Exactly 7 Tails in 16 Coin Tosses

To find out the probability of getting exactly 7 tails when a fair coin is tossed 16 times, you can use the binomial probability formula. The formula for the binomial probability of getting exactly k successes (in our case, tails) in n trials (coin tosses) is given by:

P(X = k) = C(n, k) × (p^k) × (q^(n-k))

Where:

Here, the probability of getting a tail p is 0.5, the probability of not getting a tail q is also 0.5, n is 16, and k is 7. Substituting these values into the formula, we can calculate the probability of getting exactly 7 tails in 16 tosses of a fair coin.

The combination C(16, 7) can be calculated using the binomial coefficient formula or by using a calculator with binomial functions. Once we have the value of C(16, 7), we multiply it by (0.5^7) × (0.5^9) to get the probability. The final answer represents the probability of getting exactly 7 tails when a fair coin is tossed 16 times.

The smaller number is 1 and the larger number is 3.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Let the numbers be x and y.

The sum of two numbers is twice their difference.

(x + y) = 2(x -y)

The larger number is 2 more than twice the smaller.

That means,

y = x + 2.

Then,

(x + x + 2) = 2(x + 2 - x)

2x + 2 = 4

x = 1

And y = 3

Therefore, the numbers are 1 and 3.

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Answer:  The correct option is (B) [tex]y=\dfrac{1}{2}x+1.[/tex]

Step-by-step explanation:  We are given a line of best fit for a scatter plot in the figure.

We are to find the equation of the line of best fit in slope-intercept form.

We know that the slope-intercept form of a line is given by

[tex]y=mx+c,[/tex]

where m is the slope and c is the y-intercept of the line.

From the figure, we note that

the line passes through the points (0, 1) and (2, 2). So, the slope of the line will be

[tex]m=\dfrac{2-1}{2-0}\\\\\\\Rightarrow m=\dfrac{1}{2}.[/tex]

At x = 0, y = 1, so the y-intercept of the line, c = 1.

Therefore, the equation of the line will be

[tex]y=mx+c\\\\\Rightarrow y=\dfrac{1}{2}x+1.[/tex]

Thus,  the equation of the line of best fit in slope-intercept form is

[tex]y=\dfrac{1}{2}x+1.[/tex]

Option (B) is CORRECT.

The required number for the given arithmetic problem is 29 and 12.

Given that,
The sum of the two numbers is 46 . the larger number is 12 more than the smaller number. what the numbers are to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number be x and y
According to the question,
x = y + 12   - - - - - (1)
x + y = 46  - - - - - - (2)
Substitute x in equation 2
y + 12 + y = 46
2y = 46 - 12
2y = 34
y = 17
mow put this y in equation 1
x = 17 + 12
x = 29

Thus, the required number for the given arithmetic problem is 29 and 17.

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Answer:

It's actually this

Step-by-step explanation

(told it to convert to rectangular form)

The complex number 5/2(cos 150° + i sin 150°), in the form a + bi, can be written as -(5√3)/4 +i(5/4).

Complex numbers are used to define imaginary numbers, that is, the square roots of negative numbers. √-1 is represented as i.

In the question, we are given a complex number 5/2(cos 150° + i sin 150°), and are asked to represent it in the form a + bi.

We know that complex numbers can be written in two forms, a + bi or r(cos θ + i sin θ).

The relation between these are:

r² = a² + b²,

a = r cos θ, b = r sin θ,

tan θ = b/a.

So, comparing 5/2(cos 150° + i sin 150°), to r(cos θ + i sin θ), we can say that r = 5/2, and θ = 150°.

Therefore, a = r cos θ = (5/2) cos 150° = (5/2) (-cos 30°) = -(5√3)/4

b = r sin θ = (5/2) sin 150° = (5/2) sin 30° = 5/4.

Therefore, the complex number 5/2(cos 150° + i sin 150°), in the form a + bi, can be written as -(5√3)/4 +i(5/4).

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Answer:

Correct option is D.

Step-by-step explanation:

we have to choose the option for which number produces a rational number when added to 0.6

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or finite(infinite then repeating). If they aren't, then these are called irrational numbers.

Let's try each of the choices:

A. The term 0.5050050005... is irrational number. Now, when 0.6  is added to it, the sum would be irrational.

B. √2 is an irrational number because its exact value is 1.4142135.. Even if you add 0.3 to it, the answer would still be irrational

C. Obviously, π is an irrational number and addition of rational to irrational always results in irrational.

D. The term [tex]\frac{5}{7}[/tex] is a rational number. Now, when 0.6 or [tex]\frac{6}{10}[/tex] is added to it, the sum would be [tex]\frac{92}{70}[/tex] This is a rational number.

Therefore, the answer is D.

A parabola is an open curve that is formed when a cone is sliced parallel to the side of it. The key aspects of a parabola when it is graphed looks like a curve that opens upward, downward, leftward or rightward. It has a latus rectum which is the length of the ends of a curved line. The directrix is the distance between the vertex of a parabola and the line. The vertex is the point where the curve ends. 

One of the key aspects of any parabola is that It looks like a curve that opens upward, downward, leftward or rightwards.

This refers to the open curve that is so shaped when there is a sliced parallel to a cone on either side of it.

From the complete question, there is an image shown and some key concepts that can be gotten from it are:

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Answer:

It is 52 degrees

Step-by-step explanation:

In a rhombus each diagonal bisects a pair of opposite angles.

Angle JKN is half of angle JKL

Angle JKN = 52°

Final answer:

The expression x^3 - 9 is indeed a polynomial because it consists of a variable raised to a non-negative integer exponent and a constant. The highest power of the variable is 3, which makes the degree of the polynomial also 3.

Explanation:

To determine whether the expression x^3 - 9 is a polynomial and to state its degree, we need to look at the characteristics of polynomials. A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

The expression in question, x^3 - 9, fits this definition because it involves a single variable x raised to a non-negative integer exponent (3), and a constant term (-9).

Next, to identify the degree of the polynomial, we look for the highest power of the variable in the expression. The highest power of x in x^3 - 9 is 3. Therefore, this expression is indeed a polynomial, and its degree is 3.

The correct answer to the question is: a. yes, 3.

volume of cylinder = pi x r^2 x height

 using 3.14 for pi

volume = 3.14 x 12^2 x 30 = 13564.8 cubic feet

 D is the correct answer

Using the empirical rule for normal distributions, approximately 68% of the data falls within one standard deviation of the mean. Therefore, in a group of 20 bags of pet food with a normal distribution, about 14 bags are expected to be within one standard deviation from the mean.

The question involves the concept of a normal distribution in statistics, and specifically, how it applies to the weights of bags of pet food. Given that the bags have a mean weight of 50 lb and a standard deviation of 0.2 lb, we can use the empirical rule (68-95-99.7 rule) for normal distributions. This rule states that approximately 68% of the data in a normal distribution falls within one standard deviation of the mean.

In this scenario, we have a group of 20 bags of pet food. To find out how many bags we would expect to fall within one standard deviation from the mean, we would calculate 68% of 20:

Expected number of bags within one standard deviation = 0.68 × 20 = 13.6

Rounding to the nearest whole number, we can expect about 14 bags to fall within one standard deviation from the mean.

Answer:

The correct answer is option B. Non-Independence Day in the United States is not July 4. True

Step-by-step explanation:

The inverse of the conditional statement is found by negating both the hypothesis and conclusion of that conditional statement.

Here the given statement is :

Independence Day in the United States is July 4.

Its inverse will be :

B. Non-Independence Day in the United States is not July 4. True

And yes this is true.

Answer:

C. x+5/x+10

Step-by-step explanation:

Just had this question on A.P.E.X and C was correct!:) good luck on yall's studies you got this!