"**Please work it out as well, step by step. Thank
you!!!**
Four hundred accidents that occurred on a Saturday night were analyzed by the number of cars involved and if the alcohol played a role. Cars involved Yes Did alcohol play a role? 1 car 2 cars 3 cars T" otal 50 100 20 170 No 25 175 30 230 Total 75 275 50 400 a. given that alcohol played a role, what is the probability that an accident involved a single car?

Answer:

he bought 60 stamps

Step-by-step explanation:

6*5=30

30*2=60

Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Answer:

V = l×w×h units³

Step-by-step explanation:

The volume of a rectangular prism is V = l×w×h

Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

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Answer:

I’m pretty sure it’s 8.

Step-by-step explanation:

I did 28 divided by 3 1/2 and I got 8. I’m bad at explaining things, so I’m sorry if you don’t understand!

The broad sense heritability (H2) for tail length in the population of peacocks is approximately 0.5547, indicating that genetic factors contribute to about 55.47% of the observed phenotypic variance in tail length.

The broad sense heritability (H2) is defined as the proportion of phenotypic variance that can be attributed to genetic factors in a population. It is calculated by dividing the genetic variance by the phenotypic variance.

In this case, the phenotypic variance is given as 2.56 cm², which represents the total variation in tail length observed in the population. The environmental variance is given as 1.14 cm², which accounts for the variation in tail length due to environmental factors.

To calculate the genetic variance, we subtract the environmental variance from the phenotypic variance:

Genetic variance = Phenotypic variance - Environmental variance

                 = 2.56 cm² - 1.14 cm²

                 = 1.42 cm²

Finally, we can calculate the broad sense heritability:

H2 = Genetic variance / Phenotypic variance

   = 1.42 cm² / 2.56 cm²

   ≈ 0.5547

Therefore, the broad sense heritability (H2) for tail length in the population of peacocks is approximately 0.5547, indicating that genetic factors contribute to about 55.47% of the observed phenotypic variance in tail length.

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The correct sequence that shows the increasing density of the three phases of water is C) liquid>solid>gas.


- Liquid: In the liquid phase, water molecules are closely packed, but they can still move and slide past each other, resulting in a relatively high density.
- Solid: In the solid phase (ice), water molecules are arranged in a hexagonal lattice structure. This structure has open spaces between the molecules, making it less dense than liquid water.
- Gas: In the gas phase (water vapor), water molecules are widely spaced and move freely, resulting in the lowest density among the three phases.

The increasing density of the three phases of water follows the sequence liquid>solid>gas, which corresponds to option C.

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Answer:

B. 16 degrees

Step-by-step explanation:

Because all of the angles in a triangle add up to 180 degrees, you can set up an equation for this problem:

2x - 10 + 4x + 46 + 3x = 180

Start by consolidating everything by adding like terms.

9x + 36 = 180

Then subtract 36 from both sides.

9x = 144

Then divide both sides by 9 to get your x.

x = 16

When each side of the composition is exactly the same is known as SYMMETRICAL BALANCE.

When visual elements are placed evenly on both sides of a centre line, symmetrical balance is attained in the work of art. Formal balance, also known as symmetrical balance, can be visualised as the mirror image of one half of an artwork on the other. By drawing a line down the middle of an artwork and comparing the two sides, you can tell if it uses symmetrical balance. Asymmetrical balance is obtained when the positive and negative space are equally weighted and positioned on both sides.

symmetrical balance in use in art for Formality stability Creating a focal point.

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The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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The similarity statement of the similar triangle is ΔLMJ ~ ΔLMK ~ Δ LKJ.

The proportion is as follows:

MJ / LJ = LJ / KJ

KJ / KL = KL / KM

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.

In other words, similar triangle has the side a ratio of each other and the angles are congruent to each other.

Therefore, let's write the similarity statements of the triangles.

ΔLMJ ~ ΔLMK ~ Δ LKJ

Therefore, the proportion is as follows:

MJ / LJ = LJ / KJ

KJ / KL = KL / KM

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The exact number of triangles is found if the side opposing the given angle is bigger than the other side.

The complete question is,

How can a triangle's solutions be determined—one, two, or none?

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From the statement, we know that cost of:

• the pieces is $10,

• and the delivery fee is $5.

The total cost of ordering the pieces is the sum of both prices:

The total cost of ordering the pieces is $15.

The solution is the equation:

Answer:

V ≈ 13036 ft³

Step-by-step explanation:

the volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

here diameter = 19, then r = 19 ÷ 2 = 9.5 and h = 46 , then

V = 3.14 × 9.5² × 46

   = 3.14 × 90.25 × 46

  ≈ 13036 ft³  ( to the nearest whole number )

The department's sales per square foot are $51.16 per square foot.

Division is the process of dividing a number by a given number.

Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.

The sales per square foot are:

(total sales)/ (total area)

= 15349/300

= 51.16

Hence, the department's sales per square foot are $51.16 per square foot.

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Answer:-2 -4 for point b

Step-by-step explanation:

Answer: n = 2.96

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The solution of the expression ( -x²y)/(-xy)² will be ( -1 / y).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

( -x²y)/(-xy)² =  ( -x²y)/(-x²y²)

Divide -x² by -x² it will become -y / y²

                   = -y / y²

Divide -y by -y² then it will become -1 / y.

                   = -1 / y

Therefore, the solution of the expression ( -x²y)/(-xy)² will be ( -1 / y).

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Answer:

E = 102

Step-by-step explanation:

1) Write down what angles you already know

A = 38 (given)

D = 26 (given)

B = 90

2) Work out the angles in the triangle

A triangle has 180 degrees so...

3) Work out the angles on the straight line

From the previous calculation we know that C = 52 (as it was the remaining angle)

Angles on a straight line should add up to 180 and we are given that D = 26...

Hope this helps, have a great day!

Answer:

Step-by-step explanation:

In the figure, angle A measures 38

degrees and angle D measures 26

degrees. What is the measurement of angle E?

180 - 38 - 90 = 52° (Angle C)

180 - 52 - 26 = 102 (Angle E)

---------------------------

check

D + C + E = 180

26 + 52 + 102 = 180

180 = 180

the answer is good

Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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The generated emf when it is running as a generator= 238.16V

The generated emf as a motor taking 60A= 236.12V

The Resistance of the machine= 0.102

The connected voltage = 230V

The formula for emf; E= V +IR

The generated emf when it is running as a generator,

= 230 + (80*0.102)

= 230 + 8.16

= 238.16V

The generated emf as a motor taking 60A;

= 230 + (60 * 0.102)

= 230 + 6.12

= 236.12V

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Answer:

540

Step-by-step explanation:

1. We assume, that the number 900 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 900 is 100%, so we can write it down as 900=100%.

4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.

5. Now we have two simple equations:

1) 900=100%

2) x=3.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

900/x=100%/3.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 3.5% of 900

900/x=100/3.5

(900/x)*x=(100/3.5)*x       - we multiply both sides of the equation by x

900=28.571428571429*x       - we divide both sides of the equation by (28.571428571429) to get x

900/28.571428571429=x

31.5=x

x=31.5

now we have:

3.5% of 900=31.5

The probability that a randomly selected adult has an undergraduate degree would be 0.30 or 30%.

To determine the probability that an adult's highest level of education is an undergraduate degree, we would need information about the distribution of education levels in the population. Without this information, it is not possible to calculate the exact probability.

However, if we assume that the distribution of education levels in the population follows a normal distribution, we can make an estimate. Let's say that based on available data, we know that approximately 30% of the adult population has an undergraduate degree.

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Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer:

c = 730 cm

Step-by-step explanation:

To solve this question we just need to use the law of sines:

The ratio between a side in the triangle and its opposite angle is always the same.

So we have that:

\(a / sin(A) = c / sin(C)\)

\(714 / sin(78) = c / sin(90)\)

sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:

\(714 / 0.9781 = c / 1\)

\(c = 714 / 0.9781 = 730\ cm\)

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

there are approximately 1506 bouncy balls in the box.

What is mass ?

Mass is a physical property of matter, which refers to the amount of substance present in an object. It is typically measured in units of grams or kilograms, and can be thought of as a measure of the object's inertia or resistance to acceleration. Mass is often used interchangeably with weight in everyday language, but they are technically different concepts. Weight is a measure of the force of gravity acting on an object, and varies depending on the object's location in the gravitational field.

According to the question:
First, we need to find the mass of the bouncy balls in the box by subtracting the mass of the box only from the mass of the box and bouncy balls.

Mass of bouncy balls in box = Mass of box and bouncy balls - Mass of box only

Mass of bouncy balls in box = 17,342 - 429

Mass of bouncy balls in box = 16,913 grams

Next, we need to find the mass of one bouncy ball by dividing the mass of 45 balls by 45.

Mass of one bouncy ball = Mass of 45 balls / 45

Mass of one bouncy ball = 505 / 45

Mass of one bouncy ball = 11.222 grams

Finally, we can estimate the number of bouncy balls in the box by dividing the mass of the bouncy balls in the box by the mass of one bouncy ball.

Number of bouncy balls in box = Mass of bouncy balls in box / Mass of one bouncy ball

Number of bouncy balls in box = 16,913 / 11.222

Number of bouncy balls in box ≈ 1506

Therefore, there are approximately 1506 bouncy balls in the box.


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Answer:

y = 9

Step-by-step explanation:

since opposite sides are congruent and opposite angles are conguent, we use an equal sign

2y + 9 = 27

Step 1: Subtract 9 from both sides.

2y+9−9=27−9

2y=18

Step 2: Divide both sides by 2.

2y/2 = 18/2

y = 9