The following numbers appear in a table of random digits:38683 50279 38224 09844 13578 28251 12708 24684A scientist will be measuring the total amount of leaf litter in a random sample (n =5) of forest sites selected without replacement from a population of 45 sites. The sites are labeled 01, 02, . . . ,45 and she starts at the beginning of the line of random digits and takes consecutive pairs of digits. Which of the following is correct?A) Her sample is 38, 25, 02, 38, 22B) Her sample is 38, 68, 35, 02, 22C) Her sample is 38, 35, 27, 28, 08D) Her sample is 38, 65, 35, 02, 79E) Her sample is 38, 35, 02, 22, 40

Answer:

See Below

Step-by-step explanation:

Ok, so you got:

The sum of twice a number and 5 is at most 15

Sum means we are going to add two things together, soo . .

___+___

Is at most means we are going to have:

___+___≤ ___

Twice a number  and 5= 2x(a variable)  + 5

(I'm going to use a as my variable, use whichever you like or are given)

2a + 5 ≤ __

Which will result in being greater than or equal to 15

So, your final equation would be:

2a + 5 ≤ 15

Answer:

Step-by-step explanation:

start at y intercept +5. Go up 3 points then go to the right 8 points and keep on doing that.  Formula for slope rise/run. Rise is 3. Run is 8. Then connect the line.

The graph of y= 3/8 x + 5 is attached below.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

y= 3/8 x + 5.

So, if we plot on the graph then the graph cut the y- axis at 5 and x-axis at -13.

Then, the solution for the graph is (5, -13.2).

Also, the graph is attached below.

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Answer:

i believe JL=12

Step-by-step explanation:

Answer:

JL=12

Done

_________________

2 + 3x

= 5

Have a Nice day

Step-by-step explanation:

Answer:

The answer is "\(5x+10y+5z\)"

Step-by-step explanation:

Given value:

\(\to \frac{1}{2}(10x + 20y +10z)\)

Using the distributive property.

If there are three integers a,b and c then:

\(a \cdot(b+c) =a \cdot b + a \cdot c\)

\(\to \frac{1}{2}(10x) +\frac{1}{2}(20y+10z)\\\\\to (5x) +\frac{1}{2}(20y+10z)\)

Again apply the distributive property

 \(\to (5x) +(10y+5z)\\\\\to (5x+10y+5z)\)

Or

\(\to \frac{1}{2}(10x + 20y +10z)\)

take common 2 from the equation:

\(\to \frac{1}{2}\times 2 (5x + 10y +5z)\\\\\to (5x + 10y +5z)\\\)

Answer:

5x+10y+5z

Step-by-step explanation:

The 12 terms of the series will be -

3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

The formula to calculate the nth term of an Arithmetic Sequence is -

a(n) = a + (n - 1)d

a - first term of A.P.

d - Common difference of A.P.

n - position of term

We have -

a[1] = 3

a[12] = 25

Then, using the formula to calculate the nth term, we get -

a(n) = a + (n - 1)d

a[1] = 3

AND

a(12) = 3 + 11 x d

25 = 3 + 11d

22 = 11d

d = 2

So, the terms of the series will be -

3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

Hence, the 12 terms of the series will be -

3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25

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Answer:

To graph the inequality x < 3 on a number line, you would first draw a number line with the numbers -9 to 9 marked on it. Then, you would locate the number 3 on the number line and draw an open circle around it to indicate that 3 is not included in the solution set. Finally, you would shade the portion of the number line to the left of 3 to represent all values of x that are less than 3.

Step-by-step explanation:

Answer:

0.0666666667

or

1 / 15

Step-by-step explanation:

The variance of the difference of two independent random variables is equal to the sum of the variances, not the difference.

False. So, var(x - z) = var(x) + var(z).

False. If x ~ n(0,0°), then z = 2x ~ n(0,2°), not n(0,4°). This is because the variance of the difference of two variables is the sum of the variance of the individual variables plus twice the covariance between the two variables. Since x and z are independent, the covariance between them is 0, and so the variance of x - z is equal to the sum of the variances of x and z.

If x ~ n(0,0°), then z = 2x ~ n(0,2°). This is because the mean of a random variable multiplied by a constant is equal to the original mean multiplied by the same constant, and the variance of a random variable multiplied by a constant is equal to the square of the constant multiplied by the original variance. So, if x has mean 0 and variance 0°, then z has mean 0 and variance 2°.

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Answer: put it in rice<333

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Given:

The interval, x = -2 to x = 0.

Required:

Average rate of change from x = -2 to x = 0.

SOLUTION:

From the graph,

If x = -2, f(-2) = 0.

If x = 0, f(0) = 4

Average rate of change = \( \frac{f(b) - f(a)}{b - a} \)

Where,

\( a = -2, f(a) = 0 \)

\( b = 0, f(b) = 4 \)

Plug in the values into the formula:

\( = \frac{4 - 0}{0 -(-2)} \)

\( = \frac{4}{2} = 2 \)

Average rate of change from x = -2 to x = 0 is 2.

Answer:

slope = \(\frac{2}{3}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (15, 18 ) and (x₂, y₂ ) = (6, 12 )

m = \(\frac{12-18}{6-15}\) = \(\frac{-6}{-9}\) = \(\frac{2}{3}\)

Remember, when finding the slope, use this formula: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1} }\)

We can start by labeling (15, 18) as \(x_{1}\) and \(y_{1}\) and (6, 12) as \(x_{2}\) and \(y_{2}\). Now, we can plug these number into the formula: \(\frac{y_{2}-y_{1}}{x_{2}-x_{1} }=\frac{12-18}{6-15}=\frac{-6}{-9} =\frac{2}{3}\)

Thus, the slope of the line is \(\frac{2}{3}\). Hope this helps! Let me know if you have any questions related to this problem.

Answer:

3 terms!

Step-by-step explanation:

You can tell by what is separated by addition or subtraction.

The formula for an exponential function is y = 45/8x + 57/8.

Here we have to find the formula for an exponential function that passes through the points.

Given data:

The two points are (-1, 3/2) and (3, 24).

We need to find the slope of the line. So,

Slope(m) = (y2 - y1) / (x2 - x1)

m = (24 - 3/2) / ( 3+ 1)

   = 45/ 8

The general equation of a line:

y = mx + c

Now putting the value of x and y as -1 and 3/2 and m = 45/8.

3/2 = -1 × 45/8 + c

c = 57/8

Now we get the equation:

y = 45/8x + 57/8

Therefore the equation is y = 45/8x + 57/8.

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The requried cost is $8995 when the two companies charge the same for transporting 20 tons of sugar.

To estimate the amount of sugar for which the two companies charge the same,

4995 + 200.50x = 6500 + 125.25x

Simplifying and solving for x, we get:

74.75x = 1505

x = 20

Therefore, the two companies charge the same when transporting 20 tons of sugar. To estimate the cost at this point, we can substitute x=20 into either equation:

For the first company:

cost = 4995 + 200.50(20) = $8995

For the second company:

cost = 6500 + 125.25(20) = $8995

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1.because sample is random and (130)

(0.923) and (130)(0.077) are both at least 10.

This means the normal model is a good fit for the sampling distribution.

Consider the provided information.

130 randomly selected flights and find that

120 of the flights arrived on time.

n=130

The on-time arrival performance was 91.9%

p=0.923 and q=1-0.923=0.077

np = 130 x 0.923

np = 120 ≥ 10

nq = 130 × 0.077

nq = 10 = 10

Hence, Yes, because sample is random and

(130)(0.923) and (130)(0.077) are both at least 10. This means the normal model is a good fit for the sampling distribution.

2.because sample is random and (130)

(0.919) and (130)(0.081) are both at least 10.

This means the normal model is a good fit for the sampling distribution.

Consider the provided information.

130 randomly selected flights and find that

120 of the flights arrived on time.

n=130

The on-time arrival performance was 91.9%

p=0.919 and q=1-0.919=0.081

np = 130 x 0.919

np = 119.5 ≥ 10

nq = 130 × 0.081

nq = 10.5 ≥ 10

Hence, Yes, because sample is random and

(130)(0.919) and (130)(0.081) are both at least 10. This means the normal model is a good fit for the sampling distribution.

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A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Answer:

A= (1,2)

Step-by-step explanation:

I hope this helps

have a nice day/night

mark brainliest please :)

Answer:

A) (1, 2)

Explanation:

The origin is (0, 0), where the y-axis and the x-axis intercept (the two lines). You find the coordinates by measuring the point's distance on the both lines from the origin. On the x-axis, (horizontal, the one that goes from left to right) the point is 1 unit to the right, so the x is 1. On the y-axis (vertical, the one that goes from up to down), the point is 2 units to the right, so y is 2. The combined coordinate is (1, 2).

Answer:

I, II, III, IV, V, VI, VII, VIII, IX, and X.

Step-by-step explanation:

ik the numerals

Determine the y-intercept of the equation -x + 2y = 10

a. 1

b.-10

C. 5

d. 2

__________________________________________

y-intercept is (0, b)

y = mx +b

-x + 2y = 10

2y = x +10

y = 1/2 x + 5

______________

if x= 0

y= 1/2 *0 +5

y= 5

____________________

The y-intercept is (0, 5 )

The answer is c

Answer:

the answer is B because 2x3 is ainzqwndwqncjnjqanc2ejn2qncb

Step-by-step explanation:

400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

Given that,

Tina kept track of the calories she expended while riding her bike. After x hours, the graph displays Tina's calories burned, y.

We have to find what was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

What is a graph?

A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The relationships between two or more objects are often shown by the points on a graph.

Therefore, 400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.

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Answer:

Triangle 1 -    \(\sqrt{29\) (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)

Triangle 2-    i couldnt figure this one out- may not be true

Pythagorean Theorem is...   C) true for all right triangles

Step-by-step explanation:

Given:

The height h of an object after t seconds is

\(h=-16t^2+48t+210\)

The height of a neighboring 50-foot tall building is modeled by the equation h=50.

The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.

To find:

The statement which describes the validity of these solutions.

Solution:

We have,

\(h=-16t^2+48t+210\)

Here, t is the time in seconds.

For t=-2,

\(h=-16(2)^2+48(-2)+210\)

\(h=-64-96+210\)

\(h=50\)

For t=5,

\(h=-16(5)^2+48(5)+210\)

\(h=-400+240+210\)

\(h=50\)

So, the value of h is 50 at t=-2 and t=5.

We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.

The solution t = 5 is the only valid solution to this system since time cannot be negative.

Therefore, the correct option is C.

Answer:

here

Step-by-step explanation:

Answer:

u(2t - 1) - u(-3t + 4)

= 2tu - u + 3tu - 4u

= 5tu - 5u

= 5u(t - 1)

Answer:

QUESTION

4 1/6 divided by 4

ANSWER

\(1.04166666667\)

Answer:

a) £108
btw i use sparx maths too

Step-by-step explanation:

The unit vector u orthogonal to vectors a and b is:

u ≈ (-0.395i + 0.452j + 0.275k)

To find a unit vector orthogonal to vectors a and b, we can use the cross product. The cross product of two vectors will give us a vector that is orthogonal (perpendicular) to both of them.

Given vector a = 6i - 7j + 9k and vector b = 5i + 3j - 7k, we can calculate the cross product as follows:

a x b = (ay × bz - az ×by)i - (ax × bz - az × bx)j + (ax ×by - ay × bx)k

Let's calculate the cross product:

ax = 6, ay = -7, az = 9

bx = 5, by = 3, bz = -7

a x b = ((-7) ×(-7) - 9 ×3)i - (6 × (-7) - 9 × 5)j + (6 × 3 - (-7)× 5)k

= (-49 - 27)i - (-42 - 45)j + (18 + 35)k

= -76i + 87j + 53k

Now, we have the vector -76i + 87j + 53k, which is orthogonal to both vectors a and b. To obtain a unit vector, we need to divide this vector by its magnitude.

The magnitude of -76i + 87j + 53k is given by:

|u| = √((-76)² + 87² + 53²)

= √(5776 + 7569 + 2809)

= √(16154)

Therefore, the unit vector u orthogonal to vectors a and b is:

u = (-76i + 87j + 53k) /√(16154)

Simplifying, we get:

u ≈ (-0.395i + 0.452j + 0.275k)

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Answer:

Both x and y-coordinate are negative.