Write 7649 10,000 in decimal notation.​

Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

Let the number her brother has = x

She has 5 times as many so she has 5x

Together they have 42:

X + 5x = 42

Add x and 5x to get 6x:

6x =42

Divide both sides by 6:

X = 7

The brother has 7

Carla has 5*7 = 35

Answer: Carla has 35 notebooks

Step-by-step explanation:

2C – 3B = 2(1+5n-6n²)-3(n+4n²)

= 2+10n-12n²-3n-12n²

= 2 +7n -24n²

The expression (2C-3B) equals to (-24x²+7x+2)

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given are two expression, C = 1+5n-6n² and B = n+4n²

2C = 2+10n-12n²

3B = 3n+12n²

2C-3B = 2+10n-12n² - 3n-12n²

= -24n²+7n+2

Hence, The expression (2C-3B) equals to (-24x²+7x+2)

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The volume of the solid is \(4a^2h\).

Each square cross-section has a side length equal to the diameter of the circle, which is 2a.

Therefore, the area of each cross-section is

\((2a)^2 = 4a^2\)

The volume of the solid can be found by integrating the area of the cross sections over the height of the solid.

Since the cross-sections are perpendicular to the base, the height of each cross-section is equal to the thickness of the solid, which we can denote as dx.

Thus, the volume of the solid is given by the integral of the cross-sectional area with respect to x, from x = 0 to x = h, the height of the solid:

V = ∫ (0 to h) \(4a^2 dx\)

V = \(4a^2\) ∫(0 to h) dx

V = \(4a^2\) (0 to h)

V = \(4a^2\) (h - 0)

V = \(4a^2h\)

Therefore, the volume of the solid is \(4a^2h\)

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Answer:

24 1/4 lbs

Step-by-step explanation:

She starts off with 32 1/2 lbs.

She then gives 8 1/4 to her friend.

To find how much she has left, we subtract 8 1/4 from 32 1/2.

To make this easier, lets make them both have a common denominator:

32 2/4 - 8 1/4 = 24 1/4

I hope this helped, please mark Brainliest, thank you so much!

Step-by-step explanation:

x²-9/x²-3x

x²-9 simplifies to (x+3)(x-3)

x²-3x simplifies to x(x-3)

cancel out the common term of (x-3) from the numerator and denominator to obtain

x+3/x

Answer:

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

Step-by-step explanation:

After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.

This means that the amount of caffeine after t hours is given by:

\(A(t) = A(0)e^{-kt}\)

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.

1 - 0.2722 = 0.7278, thus, \(A(10) = 0.7278A(0)\). We use this to find k.

\(A(t) = A(0)e^{-kt}\)

\(0.7278A(0) = A(0)e^{-10k}\)

\(e^{-10k} = 0.7278\)

\(\ln{e^{-10k}} = \ln{0.7278}\)

\(-10k = \ln{0.7278}\)

\(k = -\frac{\ln{0.7278}}{10}\)

\(k = 0.03177289938 \)

Then

\(A(t) = A(0)e^{-0.03177289938t}\)

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?

We have to find find A(5), as a function of A(0). So

\(A(5) = A(0)e^{-0.03177289938*5}\)

\(A(5) = 0.8531\)

The decay factor is:

1 - 0.8531 = 0.1469

The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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Answer:

60

Step-by-step explanation:

a tringle always adds ups to 180 add them then subtract.

To create a confidence range for the population standard deviation, we can use the chi-square distribution. Finding the chi-square values that correlate to 10% and 90% in the right tail of the distribution is necessary given that we have 94 samples and want an 80% confidence range.

The chi-square value for the 10th percentile is 71.47, and the chi-square value for the 90th percentile is 112.31, according to a chi-square distribution chart with 93 degrees of freedom (n-1).

The confidence interval's calculation is:

((n-1)*s2)/sqrt(X), (n-1)*s2)/sqrt(Y))

Where:

The group number is n.

The sample's standard variation is s.

X represents the bottom limit of the confidence interval's chi-square value.

Y is the chi-square value for the upper bound of the confidence interval

Substituting the values we have:

(sqrt((94-1)*4.11^2)/sqrt(112.31)) = 5.63

(sqrt((94-1)*4.11^2)/sqrt(71.47)) = 4.81

Therefore, the 80% confidence interval for the population standard deviation of the widths of all doors in this factory is (4.81, 5.63).

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Answer:

No. This is not a function

Step-by-step explanation:

8 and 9 have more than one relationship with another number which describes it as not being a function.

Answer:

positive and odd

Step-by-step explanation:

If a is a negative odd number, then a² can't be negative, because a number squared is always positive.

I'll illustrate this with an example.

Let's choose -7 as an example. Instead of a.

-7² = 49

So we see that the result is positive & odd.

So the words that describe a^2 are positive and odd.

Answer:

The answer is C x-8

Step-by-step explanation:

one x is just x raised to the negative 8 is -8 so it is x -8

Yes, the deviation is greater than it was in tossing them 40 times.

A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.

Given:

n= 400 trials

Tossing 2 coins 400 times gives 800 trials

so, \(\sigma_1\)² = np(1- p)

        = 800 x 1/2 x 1/2

      \(\sigma_1\)  = √200

      \(\sigma_1\) = 10√2

Now, n=40

and,  \(\sigma_2\)² = np(1- p)

        = 80 x 1/2 x 1/2

      \(\sigma_2\)  = √20

      \(\sigma_2\) = 2√5

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3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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Answer:

$38.08

Step-by-step explanation:

12% of 34.00 as an equation would be \(34*0.12\), \(34*0.12=4.08\) so we add 4.08 to the total of the lunch already. \(34.00+4.08=38.08\). So the answer is $38.08. Hope this helps :)

Answer:

-61

Step-by-step explanation:

hopes it's helpssssss

Answer:

-61

Step-by-step explanation:

that's the answer

hope it will help you

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Given:

Scale factor of map is:

1 decimeter = 11.5 kilometers

The distance between M and N on the map is 235 decimeters.

To find:

The Actual distance between M and N.

Solution:

Scale factor of map is:

1 decimeter = 11.5 kilometers

Using this scale factor, we get

235 decimeter = 235 × 11.5 kilometers

235 decimeter = 2702.5 kilometers

235 decimeter = \(2702\dfrac{1}{2}\) kilometers

Therefore, the points M and N are \(2702\dfrac{1}{2}\) kilometers apart.

Answer:

one way to convert from inches to centimeters is to multiply the number of inches by 2.54. how many centimeters are there in 1/4 inch? (i need this in long division)

The mean and the variance of the poisson distribution are;

Mean = 2.66

Variance = 1.277

The formula for the PMF of a Poisson distribution is;

p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......

Thus;

p(x = 0) =  [e^(-λ) * λ^(0)]/0!

e^(-λ) = 0.07

λ = - In 0.07

λ = 2.66

That is the mean

Variance is square root of standard deviation;

Variance = √√(2.66)

Variance = 1.277

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Answer:

2.65926003693 for mean and variance.

Step-by-step explanation:

First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.

Answer:

16%

Step-by-step explanation:

$6 divided by $5.04 = 0.84

0.84 x 100 = 84%

100 - 84 = 16

6 - 5.04 = 0.96

0.96 divided by 6 = 0.16

0.16 x 100 = 16

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

total cost =$ 16 +$ 4.56=$ 20.56

change received = $25 - $ 20.56 = $4.44 .

Step-by-step explanation:

therefore your answer is 4,44 hope this helps

Answer:

9

Step-by-step explanation:

sqrt(5) + sqrt(405)

sqrt(5) + sqrt( 81*5)

sqrt(5) + sqrt(81) sqrt(5)

sqrt(5) +9 sqrt(5)

10 sqrt(5)

Answer:

sqrt(15² + 3²) = sqrt(15² + 3²)

Step-by-step explanation:

Using Pythagoras:

15 blocks North = 15 blocks south (direction opposite to each other)

3 blocks west = 3 blocks east (directions opposite to each other)

Hence distance traveled (d) :

JARON

D = sqrt(15² + 3²)

MARISOL:

D = sqrt(15² + 3²)

Hence ;

sqrt(15² + 3²) = sqrt(15² + 3²)

Based on the given conditions, the lock solution is 205.

To solve the lock, to calculate the total score based on the given conditions:

Crocus: + 20

Daffodil: + 25

Snowflake: - 50

Tulip: + 30

Bird-Red: + 25, else + 10

Calculating the scores for each input:

TULIP: +30

CROCUS: +20

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

TULIP: +30

DAFFODIL: +25

CROCUS: +20

Total score = 30 + 20 + 25 + 30 + 25 + 30 + 25 + 20 = 205

Therefore, the solution for the lock is 205.

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Image transcribed:

SPRING NOW LOADING.

<IF CROCUS, THEN +20>

<IF DAFFODIL, THEN +25>

<IF SNOWFLAKE, THEN -50>

<IF TULIP, THEN +30>

<IF BIRD-RED, THEN +25, ELSE + 10>

TULIP

CROCUS

DAFFODIL

TULIP

DAFFODIL

TULIP

DAFFODIL

CROCUS

Solve Lock

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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