If 10% of x is 20 what is 23% of x

Answer & Step-by-step explanation:

In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.

We are asked to find the quotient of 9⁵ ÷ 9⁵.

When a number is divided by itself, then the answer is always going to be 1.

So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.

Answer:

It is - 4 ≤ x ≤ 0

Step-by-step explanation:

Answer:

equation- 4x + 50 = 130

Step-by-step explanation:

once solved you will know the number of bags Emily purchased (x).

Answer: t = d/s

Step-by-step explanation:

Time = Distance/Speed
Substitute values in
E.g.
Jenny went for a drive in her new car. She drove for 8 miles at a speed of 4 miles per hour. For how many hours did she drive?

8/4 = 2 hours

The website which is cheaper for Caroline to buy the spice mix is French website.

Given data ,

Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.

British website:

Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60

Since the British website offers free delivery, the total cost remains £3.60.

French website:

Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40

Delivery cost = €0.80

On simplifying the equation , we get

To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.

Price in pounds = €2.40 * £0.85 = £2.04

Delivery cost in pounds = €0.80 * £0.85 = £0.68

Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72

Comparing the total costs:

British website: £3.60

French website: £2.72

Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.

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The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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The source of bias that is most relevant to the situation described above is the perceived lack of anonymity.

When individuals are asked personal questions about their behaviors or beliefs, they may feel uncomfortable sharing truthful information due to concerns about being judged or having their privacy violated. This can lead to respondents providing socially desirable responses or withholding information altogether, which can bias the results of the study.

In the situation described, both members of a couple are being asked about their sexual behavior, which can be a sensitive topic. If they do not feel that their responses will be kept confidential or if they fear that their partner may judge them based on their answers, they may not provide accurate information. This can lead to biased results, as the researchers may not have a complete understanding of the participants' behavior.

To minimize the impact of perceived lack of anonymity, researchers can ensure that participants are informed about the confidentiality of their responses and that their answers will not be shared with anyone else. They can also use anonymous surveys or other methods to protect the privacy of participants.

Therefore,the source of bias that is most relevant to the situation described above is the perceived lack of anonymity.

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Answer:

its c

Step-by-step explanation:

not sure how to explain it

Answer:

x = 5 cm

Step-by-step explanation:

Big rectangle

Length = 30 cm

Width = 12.5 cm

Length : width = 30 cm : 12.5 cm

Small rectangle

Length = 12 cm

Width = x cm

Length : width = 12 cm : x cm

Equate the ratios

30 cm : 12.5 cm = 12 cm : x cm

30/12.5 = 12/x

Cross product

30 * x = 12.5 * 12

30x = 150

x = 150/30

x = 5 cm

The expression that's always true is that D. a+c > b+d.

From the information given, it should be noted that we are told that a is less than b and c is less than d.

We are also informed that all the variables that are given are less than 0. Let's say a = -1, b = -2, c = -3 and d = -4.

Therefore, the expression that's always true is that. a+c > b+d. This will be:

= (-1 - 2) > (-3 - 4)

= -3 > -7

Based on the information given, the expression that is true is a+c > b+d.

Therefore, the correct option will be D.

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If the given mathematical expression 12−{1+2[−1(3−8)]2} is been evaluated , then it will become -18.

The mathematical expression can be simplified by first simplify the expression in the inner bracket one after the other.

The given mathematical expression is 12−{1+2[−1(3−8)]2}

then we can simplify one after the order by following the bracket one after the other, as :

12−{1+2[−1(3−8)]2}

12 - {1+2[-1(-5)]2}

Then we can further simplify the expression as :

12 - {3 [ 5 ] 2}

Then this can be further simplified as :

12 - {30}

This can be further  simplified as :

-18

Therefore, the value of the expression given is -18

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a) (0; -15)

you just let x be equal to 0.

b) ( -5; 0) and (3;0)

you just let y/ f(x) equal to 0.

c)

A Markov chain models flashlight movement in an assembly line with seven states and transition probabilities. Steady-state probabilities are calculated to determine long-run proportions in each state.

Let's denote the state of the system by the number of flashlights in the tool cabinet at the starting end of the assembly line. Since there are two tool cabinets and a total of six flashlights, the state space consists of seven possible states: 0, 1, 2, 3, 4, 5, or 6 flashlights in the tool cabinet at the starting end.

At each step of the Markov chain, the supervisor takes a flashlight from the tool cabinet at the starting end (if one is available), and leaves a flashlight (if she possesses one) in the tool cabinet at the ending end. This means that the Markov chain is time-homogeneous, since the transition probabilities depend only on the current state and not on the time at which the transition occurs.

Let's calculate the transition probabilities between the states. If the supervisor starts at a state with k flashlights in the tool cabinet at the starting end, then there are 6 - k flashlights in the tool cabinet at the ending end. Therefore, the probability of moving to a state with j flashlights in the tool cabinet at the starting end is equal to the probability of taking a flashlight from the starting end (which is k/6 if k > 0) multiplied by the probability of leaving a flashlight at the ending end (which is (6 - k)/6 if j > 0) multiplied by the probability of starting at the ending end (which is 1/2 since the supervisor is equally likely to start at either end). Formally, we have:

P(k, j) = (k/6) * ((6 - k)/6) * (1/2)  if j > 0

P(k, 0) = (6 - k)/6 * (1/2)                if j = 0

Note that since the supervisor always takes a flashlight from the tool cabinet at the starting end, it is impossible to transition to a state with more flashlights at the starting end than the current state (i.e., P(k, j) = 0 if j > k).

We can represent the transition probabilities between the states using a transition probability matrix, which is a 7x7 matrix where element (i,j) is the probability of transitioning from state i to state j:

| P(0,0)  P(0,1)  P(0,2)  P(0,3)  P(0,4)  P(0,5)  P(0,6) |

| P(1,0)  P(1,1)  P(1,2)  P(1,3)  P(1,4)  P(1,5)  P(1,6) |

| P(2,0)  P(2,1)  P(2,2)  P(2,3)  P(2,4)  P(2,5)  P(2,6) |

| P(3,0)  P(3,1)  P(3,2)  P(3,3)  P(3,4)  P(3,5)  P(3,6) |

| P(4,0)  P(4,1)  P(4,2)  P(4,3)  P(4,4)  P(4,5)  P(4,6) |

| P(5,0)  P(5,1)  P(5,2)  P(5,3)  P(5,4)  P(5,5)  P(5,6) |

| P(6,0)  P(6,1)  P(6,2)  P(6,3)  P(6,4)  P(6,5)  P(6,6) |

We can fill in the entries of this matrix using the transition probabilities we calculated above.

For example, to find P(2,3), we use the formula we derived above, with k=2 and j=3:

P(2,3) = (2/6) * ((6 - 2)/6) * (1/2) = 1/12

Similarly, we can find all the other entries of the matrix.

Once we have the transition probability matrix, we can use it to calculate the steady-state probabilities of each state. These are the probabilities that the system will be in each state in the long run, assuming that the Markov chain has reached a steady state. The can be found by solving the equation:

πP = π

where π is a row vector of the steady-state probabilities and P is the transition probability matrix. Since the sum of the probabilities in any row of P is 1, we also have the normalization condition that the sum of the probabilities in π is 1.

We can solve for π using various methods, such as row reduction or matrix inversion. The steady-state probabilities tell us the long-run proportion of time that the system will spend in each state.

In summary, we can model the movement of flashlights using a discrete-time Markov chain with a state space of seven possible states (corresponding to the number of flashlights in the tool cabinet at the starting end), and transition probabilities that depend on the probabilities of taking and leaving flashlights at each end of the assembly line. We can calculate the steady-state probabilities of each state, which tell us the long-run proportion of time that the system will spend in each state.

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Check the picture below.

Answer:

12 bags

Step-by-step explanation:

To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.

Given that u = v × w, let's calculate the cross product of w and u:

w × u = (u × v) × u

Since the cross product is not associative, we need to use the vector triple product identity:

w × u = u × (v × u) - (u · u) v

Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:

w × u = u × (v × u)

Next, let's calculate the cross product of v and u:

v × u = (u × v) × v

Using the vector triple product identity:

v × u = v × (u × v) + (v · v) u

Again, since u is orthogonal to v, the dot product (v · v) is zero:

v × u = v × (u × v)

Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.

In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.

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Answer:

Step-by-step explanation:

Notice that the vertices are A(1,1), B(2,3) and C(2,1).

A reflection across the x-axis give the coordinates A'(1,-1), B'(2,-3) and C'(2,-1). Then, we apply the rotation 90° clockwise about the origin A'(1,1), B'(3, 2) and C'(1, 2).

Finally, a reflection across the line y = x, gives A'(1,1), B'(2,3) and C'(2,1)

Therefore, the coordinates of the image are A'(1,1), B'(2,3) and C'(2,1).

Answer:

The coordinates of vertex A′ are (1, 1).
The coordinates of vertex B′ are (2, 3).
The coordinates of vertex C′ are (2, 1).

Step-by-step explanation:

Plato

Answer:

5, 100, 10, 105, 15, 110,20}

Step-by-step explanation:

The range of the function is {100, 105, 110, 115, 120, 125, 130}. The correct answer is D.

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

The table

Now,

we can find the range of the function based on the input-output table:

The output values in the table are 100, 105, 110, 115, 120, 125, and 130. These are the possible pay per month that the function can produce for different hours of training.

To write the range as a set, we use curly braces {} and separate the elements by commas. We do not need to repeat any values that appear more than once in the table.

Therefore, by range of the function the answer will be {100, 105, 110, 115, 120, 125, 130}.

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The mountain range would cause allopatric speciation, resulting in genetic divergence and the formation of two distinct populations of sheep adapted to their respective environments.



The mountain range separating the two populations of sheep would likely lead to allopatric speciation. Over time, the isolated populations would experience different selective pressures, leading to genetic divergence. Mutations, genetic drift, and natural selection would contribute to the accumulation of genetic differences.



The distinct environments on either side of the mountain range may drive adaptations specific to each population. As reproductive isolation develops, the two groups may become distinct species.

The mountain range acts as a geographical barrier, promoting allopatric speciation and resulting in two separate and genetically unique populations of sheep.

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Answer:

(x+6)(x-2)

Step-by-step explanation:

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

\(-x^{2} +4x+12\)

Let us rewrite by letting it equal to \(y\).

\(y=-x^{2} +4x+12\)

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

\(y=ax^{2} +bx+c\)

we get:

\(a = -1\\b = 4\\c = 12\)

Coefficient of \(x^{2}\) is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

\(x = -\dfrac{b}{2a}\)

\(x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2\)

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

\(y=-2^{2} +4\times 2+12\\\Rightarrow y =16\)

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, \(y=-0^{2} +4\times 0+12=12\)

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

\(0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6\)

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

So, if 3 points were added to every score in the population, the new mean would be the old mean plus 3, and the new standard deviation would be the same as the old standard deviation.

Given,

3 points were added to every score in the population,

Adding a constant value to every score in a population will not change the standard deviation of the population, only the mean will change.

If we add 3 to every score in the population, the new mean will be the old mean plus 3. Let's say the old mean is μ and the old standard deviation is σ. Then the new mean will be μ + 3, and the new standard deviation will still be σ.

So, if 3 points were added to every score in the population, the new mean would be the old mean plus 3, and the new standard deviation would be the same as the old standard deviation.

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I, III, and IV  quadrants.

What do the four graph quadrants represent?

The x and y and y-coordinates are both positive in quadrant I. X and Y coordinates in quadrant II are opposite one other. X and Y coordinates are both positive in quadrant III. In quadrant IV, the x-coordinate and y-coordinate are both positive.

Why are the first and third quadrants used?

Typically, we assume that after a projection is made on the horizontal plane, it spins clockwise. We employ first angle and third angle projection for this purpose. Because only within these two quadrants will we receive both viewpoints following the horizontal plane's clockwise rotation.

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Solutions for the inequality y is less than or equal to two-thirds times x minus 4 will exist in the I, III, and IV quadrants.

What do the four graph quadrants represent?

In quadrant I, the x and y coordinates are both positive. In quadrant II, the X and Y coordinates are orthogonal. In quadrant III, both the X and Y coordinates are positive. The x- and y-coordinates are both positive in quadrant IV.

What is the inequality's y-intercept?

Inequality y image result

Any straight-line's equation, known as a linear equation, can be written as y = mx + b,

Where m is the slope of the line and b is the y-intercept.

This line's y-intercept is the value of y at the point where the line intersects the y-axis.

We usually assume that after a horizontal plane projection, it spins clockwise. For this, we use first and third-angle projections. Because only within these two quadrants will we receive both viewpoints after the horizontal plane rotates clockwise.

Solutions for the inequality y is less than or equal to two-thirds times x minus 4 will exist in the I, III, and IV quadrants.

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Answer:

-65d - 55

Step-by-step explanation:

Given expression,

→ -5(13d + 11)

Simplifying the expression,

→ -5(13d + 11)

→ (-5 × 13d) + (-5 × 11)

→ -65d + (-55)

→ -65d - 55

Thus, answer is -65d - 55.

Answer:

JM = 20

Step-by-step explanation:

Find the value of JM

Using similar triangles;

MJ/HN = GJ/HK

GJ+JM/HN = GJ/HK

15+JM/12+16 = 15/12

15+JM/28 = 15/12

Cross multiply

12(15+JM) = 15*28

180+12JM = 420

12JM = 420 - 180

12JM = 240

JM = 240/12

JM = 20

Hence the length of JM is 20

Answer:

9

Step-by-step explanation:

\(f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9\)

Answer:

1

Step-by-step explanation:

3(2)-5/4(4)

6-20/4

6-5

1

By applying permutation concepts, there are 2730 possible sets of officers.

Permutation calculates the number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

P(n,r) = n! / (n-r)!

where n is the number of objects and r is the number of samples

In such an election, each person can only occupy one office. Therefore, the permutation concept is precisely used to calculate the number of ways to set these people.

P(15,3) = 15! / (15 - 3)!

           = (15 x 14 x 13 x 12!) / 12!

           = 15 x 14 x 13

           = 2730 ways

Thus, there are 2730 possible sets of officers.

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Answer:

9,157 divided by 32=286.15625

9,157 rounded is 9.000

32 rounded is 30

9,000 divided by 30 equals the quotient of 300

our original answer 286, would round up to 300

Step-by-step explanation:

Hope this helped