Why is California at higher risk for earthquakes than North Dakota

( Also i know this isnt math but people answer faster when its in math )

To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.

Distance = 1/4 mile

Time = 1/12 hour

Unit rate = Distance ÷ Time

Unit rate = (1/4 mile) ÷ (1/12 hour)

We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.

Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)

Unit rate = (3/4 mile) ÷ 1 hour

Unit rate = 3/4 mile per hour

Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.

Answer:

3mph

Step-by-step explanation:

1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.

60/12 = 5

12 x 1/4 = 12/4 = 3

Answer: Option 2

Step-by-step explanation:

We can use the eyeball method, which is a quick and easy technique to just see what graph looks the best. You can also add up all the values and then divide by the total count for maximum accuracy.

The way you determine a good linear model is to see if there is a variety and balanced spread of data.

Option 1 doesn't work because there are too many points on the bottom, and lots of outliers on the top, making it very unbalanced

Option 3 doesn't work for the same reason, just flipped upside down

Option 2, works because if you draw a line between them, they relatively balance on that line, thus making the answer Option 2.

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

The expression equivalent to the expression -3x²-24x-36 is -3(x+6)(x+2)

An expression in maths, a statement involving at least two different numbers (known or unknown) and at least one operation.

Given an expression, -3x²-24x-36;

Factorizing, we get,

-3x²-24x-36 = -3(x²+8x+12)

= -3(x²+6x+2x+12)

= -3[x(x+6)+2(x+6)]

= -3(x+6)(x+2)

Hence, The expression equivalent to the expression -3x²-24x-36 is -3(x+6)(x+2)

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By the chain rule,

\((f(g(x)))'=f'(g(x))g'(x)\)

so that when \(x=1\), we have

\((f(g(1)))'=f'(g(1))g'(1)=f'(9)g'(1)=6\cdot8=\boxed{48}\)

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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Answer:

1

Step-by-step explanation:

Given the question above :

The probability distribution :

X : ___ 1 ___ 2 ___ 3 ___ 4 ____ 5

P(x): _ 0.1 __ 0.1 __ 0.6 _ 0.1 __ 0.1

The Variance : Var(X) = (Σx²*p(x)) - μ²

μ = E(X) = Σ(X * p(x)) :

Σ(X * p(x)) = (1*0.1)+(2*0.1)+(3*0.6)+(4*0.1)+(5*0.1)

μ = 3

Var(X): [(1^2*0.1)+(2^2*0.1)+(3^2*0.6)+(4^2*0.1)+(5^2*0.1)] - 3²

= 10 - 9

= 1

Hence. Variance = 1

Answer:

12u + 6

Step-by-step explanation:

Answer:

This is it.

x=17

A=17

B=51

C=112

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer:

The ratio of apple trees to cherry trees is 14a to 1c

Step-by-step explanation:

Answer:

x = 9.4  and y = 8

Step-by-step explanation

If you're using a calculator to solve this, make sure it's in Degree mode.

Solve for x:

Sin(32) =\(\frac{opp}{hyp}\) =  \(\frac{5}{x}\)

bring x to one side

x = \(\frac{5}{sin(32)}\) = 9.4

Solve for y:

Tan(32) = \(\frac{opp}{adj}\) = \(\frac{5}{y}\)

bring y to one side

y = \(\frac{5}{tan(32)}\) = 8

Answer:

-35/-7=5

Step-by-step explanation:

Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication

Brian will receive £\(1.75\) from Sue buying \(500\) grams of berries.

The metric measure for a tiny amount of mass and weight is the gram (g). It weighs the same as one milliliter (or one cubic centimeter) of water. 1,000 grams make to one kilogram (kg). One liter liquid water weighs exactly one kilogram (kg).

Using a scale is the most accurate technique to measure in grams. Kitchen spoons and cups, for example, offer an approximate approximation. Moreover, always have a conversion tool or chart on available so you can estimate grams without a scale.

Brian paid a total of £\(15.75\) for \(4\frac{1}{2}\) kg of strawberries. To find out the price per gram, we can divide the total cost by the total weight:

Price per gram \(=\)Total cost / Total weight

Total weight of strawberries \(= 4.5 kg = 4500 grams\)

Price per gram \(=\) £\(15.75 / 4500\) grams

Price per gram \(=\) £\(0.0035\) per gram

So, Brian paid £\(0.0035\) for every gram of strawberries he picked.

Cost of \(500\) grams \(=\) \(500 grams *\) £\(0.0035/gram\)

Cost of \(500\) grams \(=\) £\(1.75\)

Therefore, Sue should pay Brian £\(1.75\) for \(500\) grams of strawberries.

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Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

i.

There are 8 apples in total. Since 5 are red, the probability of getting a red apple is 5/8.

Then, after one red apple is eaten, there are 7 apples in total, and 4 are red, so the probability of getting the second red apple is 4/7.

The final probability is given by the product of each probability:

ii.

In order to get apples of different colours, there are two cases: first red and second green, or first green and second red.

The probability of the first case is:

The probability of the second case is:

Adding the probabilities, we have:

Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

Answer:

Radius = 25.5 units

Diameter = 51 units

Step-by-step explanation:

r = radius of circle

d = Diameter of circle

  = \(2r\)

Circumference of circle = \(2\pi r\)

Substitute the provided value of the circumference:

                               \(51\pi = 2\pi r\)

r is to be isolated and made the subject of the formula:

                                 \(r = \frac{51\pi}{2\pi}\)

\(\pi\) in the numerator and denominator cancel each other outcompletely:

                                 \(r = \frac{51}{2}\)

                          ∴r = radius of circle = 25.5 units

This also means that:

\(d = 2r\)

\(d = 2(25.5)\)

∴d = Diameter of the circle = 51 units

Answer:

c) -10(_40)=30

Step-by-step explanation:

because -+-=+

The area of the drawing of the park is 64 cm²;

Scale: Square park to Drawing = 5m:1cm

                                                 = 5m:0.01m;

Therefore; Square Park Area = 1600m²;

                 Drawing Area = 1600 ×(0.01/5)²

                                        = 0.0064m² = 64 cm²

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Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

Answer:

0.0750 I took the test

The experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%, which is closest to answer option B.

Probability is a statistical term that describes the possibility that something will occur.

Since there is only one blue marble in the bag, the likelihood of getting a blue marble on the first draw is 1/6.

After the blue marble is replaced, the probability of drawing a yellow marble on the second draw is 2/6, since there are now 2 yellow marbles out of a total of 6 marbles in the bag.

The probability of sketching a blue marble and subsequently a yellow marble in the same attempt is:

P(blue then yellow) = P(blue) x P(yellow | blue)

P(blue then yellow) = (1/6) x (2/6)

P(blue then yellow) = 1/18

Since the marbles are replaced after each draw, the probability of drawing a blue marble and then a yellow marble is independent of one attempt to the next.

The experimental probability of pulling a blue marble and then a yellow marble in 40 attempts can be calculated by dividing the number of times it occurred by the total number of attempts:

Experimental probability = number of times blue then yellow was pulled / total number of attempts

Experimental probability = 3 / 40

Experimental probability = 0.075

Therefore, the experimental probability of pulling a blue marble and then a yellow marble is 0.075 or 7.5%.

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Answer:

neither of them

Step-by-step explanation:

1. To prove that neither of them are correct, we have to work on the equation 2/5(b) + 1 = -11 ourselves.

2. (Solving)

Step 1: Subtract 1 from both sides. (This is where Tyler got it wrong)

Step 2: Multiply both sides by 5/2.

Step 3: Check if solution is correct.

3. As you can see, our solution is correct, but it doesn't match with either Mai or Tyler's works.

Therefore, the answer is neither of them are correct.

Answer:

∠L = 51°

Hope this helps!

Step-by-step explanation:

Alternate exterior angles theorem

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

Answer:

The answer is 11.99 in gallons  

47.96 in pints

Step-by-step explanation:

Hope this helps

Answer:

8. 5 i belive hope this he;ps

Step-by-step explanation:

This exercise has to do with the testing of the hypothesis using the level of significance of 0.01. The results show that the null hypothesis must be rejected at

t = (4.1-4.5)/(1.2/√14) = - 1.25.

In science, a hypothesis refers to a tested assertion concerning the relationship between two or more variables or a proposed explanation for a phenomenon that has been observed.

Step 1 - Recall the values given

The Null Hypothesis would be that:

μ ≥ 4.5

The Alternative Hypothesis would be that:

μ < 4.5

The formula is provided by:

t = (X - μ₀)/(x√n)

Inserting the figures, we have:

t =  (4.1-4.5)/(1.2/√14) = - 1.25.

Degrees of Freedom is given as:

dr = n - 1 - 14 - 1 - 13

Value of p is given as:

P\(_{v}\) = P (t₁₃ < -1.25) = 0.117

Because the p-value is more than the significance level, this thus provides enough evidence to reject the null hypothesis and we can state conclusively that the true mean is not significantly less than 4.5 minutes.

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