A number is chosen at random from 1 to 50. Find the probability of selecting multiples of 6

Answer:

it is most probably a and b

i think im confident a and b

The lines in this figure that are parallel are line a and line b.

Option A is the correct answer.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure,

Corresponding angles are formed since there are transversal lines with parallel lines.

Now,

Lines a and b are parallel.

The lines c and d are transversal.

Thus,

Lines a and b are parallel.

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Answer: I am bad at math, but I'd say _> is the sign...

Step-by-step explanation:

elloooo

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

x4 = 8

Step-by-step explanation:

To find the mean, add the values and divide by the number of values.

mean = (x1 + x2 + x3 + x4)/4

(3 + 12 + 7 + x4)/4 = 8

x4 + 22 = 32

x4 = 10

Answer:

x4 = 8

Step-by-step explanation:

Options :

A. 6 cups of flour

B.7 cups of flour

C.8 cups of flour

D.9 cups of flour

Answer:

B.7 cups of flour

Step-by-step explanation:

Given the following :

Cups of flour required to make muffins = 3 1/5

Cups of flour required to make banana = 3 2/3

Number of cups of flour required to make both recipe :

(cups of flour required to make muffins + cups of flour required to make bread)

(3 1/5 + 3 2/3) = 3+3+(1/5 + 2/3)

= 6 + (1/5 + 2/3) = (3 + 10)/15 = 6 + (13/15)

6 13/15 = 6.8666666

The best estimate is to round to the nearest whole number = 7

Answer: The answer is 7

Step-by-step explanation:

I got it right in my quiz! Hope this helps (:

Because the point (-5, 3) in the pre-image and its corresponding position (5, 3) in the picture are both at the same distance from the y-axis. The pre-point image's (-3, 5) is mirrored to the image's point (3, 5).

The x-axis is the horizontal axis and the y-axis is the vertical axis in two-dimensional space. As seen in the image below, they are represented by two number lines that perpendicularly connect at (0, 0).

This is a reflection of the pre-image that was provided over the y-axis:

Segment

10 9 8 7 6 5 -5 -6 -7 -8 -9 -10

Because the point (-5, 3) in the pre-image and its corresponding position (5, 3) in the picture are both at the same distance from the y-axis, they are reflected to one another.

Similar to this, the pre-point image's (-3, 5) is reflected to the image's point (3, 5).

The x-coordinates of all other locations in the pre-image are negated in the image because they have corresponding points there that are equally spaced from the y-axis.

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer:

(X-7)^2+(y +3)^2 = 7

The answer is x > 9 and x < 6 using the modules property.

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. Additionally, it is known as an absolute value function.

1 st condition

x > 9         -- (1)
So x+2 > 8

x > 6         -- (2)

The intersection of eq (1) and eq (2)

x>9

2nd condition

x<9           -- (3)

So, x + 2 < 8

x < 6         -- (4)

The intersection of eq (3) and eq (4)

x < 6

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Answer:

The equation that relates distance, rate, and time is

       d  =  rt

Step-by-step explanation:

Answer:

Multiply 3.75 times 1.5

Step-by-step explanation:

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Answer:

the median of th given data is 243

Answer:

y=9+3x

Step-by-step explanation:

It starts with y=.

Then you have to put the 9 for the streaming service.

Then you add.

You multiply by 3 for all the x in the household plan.

Answer:

y = 9 + 3x

Step-by-step explanation:

$9 per month for a single user

$3 per month for additional users

Find monthly cost, y, where additional cost is represented by x

The cost for a single user = fixed cost (It remains constant)

The cost of the additional user = variable (It increases with the number of users)

The monthly cost increases with the number of additional users

The monthly cost = cost of single user + the cost of additional users

y = 9 + 3x

Answer:

9) 5.8

10) 27.9

11) 37.1

12) 16.8

Step-by-step explanation:

For this you need to know SOH (sine = opposite/adj) CAH (cos = adj/hypo) and TOA (tan = opp/adj).

For 9, you have one side 15 and one angle 21 degrees.  We can see that relative to the 21 degrees the side lengths, x and 15, are the Opposite and the Adjacent. So we label them "x=O" and "15=A". This means we have Tangent(21) = Opposite "x" /Adjacent "15"

We then evaluate tan21=x/15.

1) To get rid of the fraction multiply 15 on both sides to get 15*tan21=x.

2) Use a calculator to get the answer 5.8 (5.7579..)

For 10, it is the same process but with cosine. You have one side 19 and one angle 47 degrees. We can see that relative to the 21 degrees the side lengths, x and 19, are the Hypotenuse and the Adjacent. So we label them "x=H" and "19=A". This means we have Cosine(47) = Adjacent "19" / Hypotenuse "x"

We then evaluate cos47=19/x.

1) To get rid of the fraction multiply x on both sides to get x*cos47=19.

2) Divide by cos47 on both sides to isolate x. This will be x=47/cos21

3) Use a calculator to get the answer 27.9 (27.8593...)

For 11, refer to how I did question 9 on how it's tan68 = 15/x.

Then refer to question 10 on what to do if x is the denominator (isolate the x).

You should end up with x=15/tan68 which is 37.1 (37.1263...)

Finally for 12, it's the same but for sine (sin=opp/hyp).

You should get that the opp=15 and hypo=x.

That means sin63=15/x which is then x=15/sin63

Answer is 16.8 (16.834...)

The length of the shortest side of the triangle is 3 centimeters.

Let's assume that the length of the shortest side of the triangle is x centimeters.

According to the given information, the other two sides are each three times as long as the shortest side.

Therefore, the length of the other two sides can be represented as 3x centimeters.

The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter of the triangle is given as 21 centimeters. We can set up the equation:

x + 3x + 3x = 21

Now we can simplify the equation:

7x = 21

Dividing both sides of the equation by 7, we get:

x = 3

Hence, the length of the shortest side of the triangle is 3 centimeters.

In summary, we assume the length of the shortest side as x centimeters. The other two sides are each three times as long, so they are 3x centimeters. By setting up the equation using the perimeter, we find that x is equal to 3. Therefore, the length of the shortest side is 3 centimeters.

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We can calculate the distance between these two complex numbers z1 = (2+2i) and z2 = (6-4i) as:

Answer: the distance is d = 2√13

The solution for the system of equtaions is (57/11, 42/11)

Here we have the system of equations:

x/3 = 6 - y/3

3x/4 - 3 = 2y

We can isolate x on the first equation to get:

x = 18 - 3*y/3

x = 18 - y

Replacing that on the other equation we will get

3*(18 - y)/4 - 3 = 2y

We can solve this for y.

3*(18 - y)/4 = 2y + 3

54 - 3y = 4*(2y + 3) = 8y + 12

54 - 12 = 8y + 3y

42 = 11y

42/11 =y

And the value of x will be:

x = 9 - 42/11

x  = 99/11 - 42/11 = 57/11

That is the solution of the system.

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Answer:

$20.40 after the discount

Step-by-step explanation:

To find 15% of 24, you multiply 24 and 0.15, which gets you 3.6

Then, to find the price after the discount, you subtract the 15% (the 3.6). So, 24 - 3.6 = $20.40

Therefore , the solution of the given problem of ordered pair comes out to be the ordered pair (1, 1/2).

"Ordered pairs" are two separate variables that are arranged in a way that suggests a specific sequence. The coordinates for x and y in an order pair are represented, respectively, by the main and second components. The sample following uses close parentheses to indicate the ordered combination.

Here, The formulae are as follows:

=>y = -z + 2      ...(1)

=> y = -2x² + z + 1  ...(2)

Equation (1) can be substituted for equation (2) to find the value of z:

=> Z = x² + 1/2 - z + 2 = -2x² + z + 1

=> 2z = 2x² + 1

We can now enter this value of z into equation (1) and find the value of y:

=> y = -z + 2

=> y = -(x² + 1/2) + 2

=> y = -x² + 3/2

As a result, the equation system can be expressed as:

=> z = x² + 1/2

=> y = -x² + 3/2

When x=0:

=> z = 0² + 1/2 = 1/2

=> y = -0² + 3/2 = 3/2

Therefore, there is no answer for the ordered pair (0, 3/2).

When x=1:

=> z = 1² + 1/2 = 3/2

=> y = -1² + 3/2 = 1/2

The answer is the ordered pair (1, 1/2).

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a) The probability of lung cancer occurrence in current smokers who smoke more than two packs per day is 0.01261 more than that of people who have never smoked.b) The probability of lung cancer occurrence in current smokers who smoke more than two packs per day is 57.08 times more than that of people who have never smoked. c) The relevant relative risk is more informative as it compares the probability of lung cancer occurrence in current smokers who smoke more than two packs per day to that of people who have never smoked.d) smokers have a 3.10 times higher risk of developing this type of cancer compared to non-smokers.

a) The relevant difference in proportions: Firstly, we need to determine the difference between the probability of lung cancer occurrence between the non-smokers and smokers who smoke more than two packs per day. The difference between the two proportions is as follows:P(X1) = 0.00023 (Probability of lung cancer occurrence in people who have never smoked)P(X2) = 0.01284 (Probability of lung cancer occurrence in current smokers who smoke more than two packs per day)

Therefore, the difference in proportion can be calculated as follows:P(X2) - P(X1) = 0.01284 - 0.00023 = 0.01261 (Answer)Interpretation: The probability of lung cancer occurrence in current smokers who smoke more than two packs per day is 0.01261 more than that of people who have never smoked.

b) The relevant relative risk:Relative risk = [P(X2)/1 - P(X2)] / [P(X1)/1 - P(X1)] = (0.01284/1 - 0.01284) / (0.00023/1 - 0.00023) = 57.08 (Answer)Interpretation: The probability of lung cancer occurrence in current smokers who smoke more than two packs per day is 57.08 times more than that of people who have never smoke

c) Which measure is more informative: The relevant relative risk is more informative as it compares the probability of lung cancer occurrence in current smokers who smoke more than two packs per day to that of people who have never smoked. It highlights the significant risk factor associated with smoking.

d) Concerning increase in risk from a practical point of view: Yes, a relative risk of 3.10 for a different type of cancer suggests a concerning increase in risk from a practical point of view. A relative risk of more than 1 suggests an increased risk associated with a particular factor. In this case, smokers have a 3.10 times higher risk of developing this type of cancer compared to non-smokers.

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Answer:3

Step-by-step explanation:

Let us set up an equality to represent the original ratio of walnuts to fruit..

Solve for X (2/3)/(3/5) = X/1  

(2/3)/(3/5) = X/1 (2/3) * (5/3) = X/1 10/9 = X/1 10/9 = X

Therefore, Abigail needs 10/9 pounds of walnuts to mix with one pound of dried fruit.

1/16 mile

3/4 = 12/16

1/8 = 2/16

12/16 + 2/16 = 14/16

1/16 Mile left to walk

Hayami has to walk her bike Option A) 1/16 mile to complete the loop.

Hayami rode a total of 3/4 + 1/8 = 7/8 mile before getting a flat tire. To complete the loop, she needs to cover the remaining distance of the loop, which is

= 15/16 - 7/8

= 15/16 - 14/16

= 1/16 mile.

Thus, Hayami has to walk her bike 1/16 mile to complete the loop. Therefore, the correct answer is 1/16 mile.

To find out how far Hayami has to walk her bike to complete the loop, we need to calculate the remaining distance after she rode her bike before stopping for a rest and getting a flat tire.

1. First, we calculate the distance Hayami rode before stopping for a rest:

  She rode 3/4 mile.

2. Then, we calculate the distance she rode after stopping for a rest but before getting a flat tire:

  She rode 1/8 mile.

3. Now, let's find out the total distance she rode:

  = 3/4 + 1/8

  = 6/8 + 1/8

  = 7/8 mile.

4. The length of the loop is \(15/16\) mile.

5. To find the remaining distance to complete the loop, subtract the distance she rode from the total loop length:

  = 15/16 - 7/8

  = 15/16 - 14/16

  = 1/16 mile.

6. Therefore, Hayami has to walk her bike 1/16 mile to complete the loop.

In conclusion, the correct answer is 1/16 mile (Option A).

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Complete Question

Choose the correct answer from the given options:

Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?

A.1/16 mile

b.1/32 mile

c. 3/16 mile

d. 1/8 mile

Answer:

It will take 554 years

Step-by-step explanation:

Here, we want to estimate the time when t will be $50

We can rewrite the exponential equation as;

y = 200(1-0.0025)^t

In this case, y = $50 and we want to calculate t

so, we simply proceed to substitute the value 50 for y

we have this as ;

50 = 200(1-0.0025)^t

50/200 = (1-0.0025)^t

1/4 = 0.9975^t

0.25 = 0.9975^t

Take the natural logarithm of both sides

ln 0.25 = ln 0.9975^t

ln 0.25 = t ln 0.9975

t = ln 0.25 / ln 0.9975

t = 553.8 = 554 years

The bike will be $50 in 554 years

The technique for determining an array index using only a search key and not searching is called hashing.

Hashing is a method that maps data to a fixed-size array called a hash table. In this technique, a hash function is used to generate a unique index for each search key. The hash function takes the search key as input and performs some calculations to produce the index value.

This index is then used to access the corresponding element in the array, providing direct access to the desired data without the need for further searching.

Hashing is the technique of determining an array index using only a search key.

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Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Based on constitutive laws, Lit's interpretation of her friend's actions.Therefore, choice b is right.

Tammy should have asked the host to serve her instead of reaching over the table to get the salt shaker since, as per the constitution, you are not allowed to reach across the table and touch objects on it.

Constitutive rules are those that have a creative purpose, making it possible to carry out specific activities or take part in a specific practise. They are typically opposed to regulative rules.

The practises that constitutive norms establish are metaphysically prior to one another.According to John Searle's influential constitutive rules theory, behaviours are only possible when certain conditions are met. This distinguishes regulative rules which aim to control previously existing and established behavior from constitutive norms.

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