Under her cell phone plan, Nayeli pays a flat cost of $41.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Nayeli can use while staying within her budget.​

The probability of out of any two students chosen at random, one student will be absent while the other is present is 29/450 or approximately 0.064.

Let's denote the event that a student is absent as A and the event that a student is present as P.

The probability of a student being absent is P(A) = 1/30, which means the probability of a student being present is P(P) = 29/30.

We want to find the probability that out of any two students chosen at random, one student will be absent while the other is present.

There are two possible cases for this event:

The first student is absent and the second student is present

The first student is present and the second student is absent

Let's calculate the probability of each case separately:

Case 1: The probability of the first student being absent is P(A) = 1/30. The probability of the second student being present is P(P) = 29/30. Therefore, the probability of the first student being absent and the second student being present is:

P(A and P) = P(A) × P(P) = (1/30) × (29/30) = 29/900

Case 2: The probability of the first student being present is P(P) = 29/30. The probability of the second student being absent is P(A) = 1/30. Therefore, the probability of the first student being present and the second student being absent is:

P(P and A) = P(P) × P(A) = (29/30) × (1/30) = 29/900

The total probability of one student being absent and the other being present is the sum of the probabilities of the two cases:

P = P(A and P) + P(P and A) = (29/900) + (29/900) = 58/900

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

P = 29/450

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When 8.0 X 10 is rewritten to the -2nd in standard form, 800 is obtained by comprehending negative exponents.

The amount of times a number has been multiplied by itself is referred to as an exponent. For instance, 2 to the third (written as 23) equals 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Keep in mind that a number raised to the power of one equals itself. Exponent is the process of expressing huge numbers in terms of powers. In other words, exponent refers to the number of times a number has been multiplied by itself. For instance, 6 is multiplied by itself four times, yielding 6 6 6 6. This can be expressed as 64.

given

This number is 10 to the power of 2, as the exponent is 2.

Due to the positive exponent, the answer is a number higher than the origin or base number.

We shift the decimal to the right twice to arrive at our conclusion:

8.0.0 -> 800

When 8.0 X 10 is rewritten to the -2nd in standard form, 800 is obtained by comprehending negative exponents.

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Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

The length of the diagonal of the rectangular prism drawn between the front bottom left vertex and the back top right vertex is about 9.5 feet

A rectangular prism is a six faced polyhedron in which the opposite faces are parallel and all faces are rectangles.

The dimensions (lengths of the sides of the rectangular prism are)

Length, l = 7 feet

Width, w = 4 feet

Height, h = 5 feet

The value of the diagonal of the base of the prism can be found as follows;

Length of the diagonal of base = √(7² + 4²) = √(65)

The diagonal of the base is a leg of the right triangle that has the diagonal of the prism as the hypotenuse side. The other leg of the right triangle formed by the diagonal of the prism is the height of the prism, therefore;

The diagonal of the rectangular prism, d = √(65 + 5²) = √(90) = 3·√(10)

The diagonal of the rectangular prism is therefore;

d = 3·√(10) ≈ 9.5

The diagonal of the rectangular prism is approximately 9.5 feet

The diagonal of a rectangular prism of length. l, width, w, and height, h, can also be obtained using the formula;

d = √(l² + w² + h²)

Therefore, d = √((7 feet)² + (4 feet)² + (5 feet)²) ≈ 9.5 feet

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Answer:

The right hand side is as gollows

Step-by-step explanation:

first mouth

second liver

third Gallbladder

court Apendix

The usual time taken by the train to cover the same distance is 45 minutes.

To find the usual time taken by the train to cover the distance, we can set up an equation based on the given information.

Let's denote the original speed of the train as "s" and the original time taken as "t" minutes.

The reduced speed of the train is 1/3 of its usual speed, so the reduced speed is (1/3)s.

We are also given that it takes an extra 30 minutes to reach the destination compared to its usual time. Therefore, the current time taken is t + 30.

We can set up the following equation based on the principle that the distance covered is the same:

Original Speed / Original Time = Reduced Speed / Current Time

s / t = (1/3)s / (t + 30)

To solve for the usual time taken, we can cross-multiply:

3s(t + 30) = s(t)

3st + 90s = st

3t + 90 = t

2t = 90

t = 45

Therefore, the usual time taken by the train to cover the same distance is 45 minutes.

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The given statement is false becasue If the p-value of the coefficient of an X variable in a regression is 0.001, then it suggests that there is significant evidence that the coefficient is different from 0 in the population regression line.

A p-value is a value that represents the probability of obtaining the observed results of a statistical hypothesis test. The p-value is used as an alternative to rejection point to give the smallest level of significance at which the null hypothesis would be rejected. It can be used to test hypotheses in statistics.

If the p-value is less than the significance level (α), then the null hypothesis is rejected. However, if the p-value is greater than the significance level (α), then the null hypothesis is not rejected. Therefore, we reject the null hypothesis if the p-value is less than or equal to the level of significance.

So, if the p-value of the coefficient of an X variable in a regression is 0.001, it suggests that the coefficient is statistically significant and different from 0 in the population regression line. Hence, the statement "it is reasonable to say that the coefficient of the X variable is 0 in the population regression line" is false.

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Answer:

1

Step-by-step explanation:

First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28

Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.

The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28

Answer:

The first choice

Step-by-step explanation:

Answer:

2.56 and -1.56

Step-by-step explanation:

Using the quadratic formula you can plug in each term (a,b and c) and come to 1 ± sqrt(17)/2. Rounding to the nearest hundredth, this comes out to 2.56 and -1.56. Hope that helps :)

Answer:

Independent samples t test

Step-by-step explanation:

The experiment performed above, required the independent samples t test as it invilves two seperate and distinct, otherwise called independent groups whereby one group has no effect on the outcome of the other. The means a ND standard deviation of the first group (4 year Olds who attend part time daycare) and the other group (4 year Olds who do not attend part time daycare). Hence, the comparison can be made using the two independent samples t test ;

With possible hypothesis relation being :

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

a)To find the probability that a randomly selected North American adult watches television for more than 7 hours per day,

we first calculate the z-score: z = (7 - 6) / 1.5 = 0.67. Using a z-table, we find the probability to be approximately 0.2514.

b. For a random sample of five adults, the standard deviation of the sample mean is 1.5 / √5 ≈ 0.67. The z-score is (7 - 6) / 0.67 ≈ 1.49. Using a z-table, the probability that the average time watching television is more than 7 hours is approximately 0.0681.

c. The probability that one adult watches television for more than 7 hours is 0.2514. Since we want the probability that all five adults watch television for more than 7 hours, we multiply this probability five times: 0.2514^5 ≈ 0.0039. So, the probability is approximately 0.39%.

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There are 693 cubic inches in 3.0 gallons.


To find the number of cubic inches in 3.0 gallons, we need to use a conversion factor.

One gallon is equal to 231 cubic inches (according to the US system of measurement), so we can set up the following proportion:

1 gal / 231 in³ = 3 gal / x

Solving for x, we can cross-multiply and get:

x = (3 gal)(231 in³ / 1 gal)

x = 693 in³

Therefore, there are 693 cubic inches in 3.0 gallons.

Since the original measurement has only one significant figure (3), the final answer should also have only one significant figure (693).

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Answer:

1. Methemogoblin

2. Emphysema

Step-by-step explanation:

Answer:

\(B(x,y) = (-10,-1)\)

Step-by-step explanation:

Given

\(B' = (-3,5)\)

Required

Determine B

When a point is translated up, the result is:

\(y'->y + h\)

Where h is the unit translated

y' is the new point and y is the previous;

So, we have

\(5 = y + 6\)

\(y = 5 - 6\)

\(y = -1\)

When a point is translated left, the result is:

\(x'->x + h\)

Where h is the unit translated

x' is the new point and x is the previous;

So, we have

\(-3 = x + 7\)

\(x = -3 - 7\)

\(x = -10\)

Hence, the coordinates of B is

\(B(x,y) = (-10,-1)\)

Answer:

5 units to the left

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

The scale structure being used in a question that asks the respondent to write in his or her age on the survey is Ratio. Option C is correct.

The ratio scale allows for the measurement of quantities with a meaningful zero point and consistent intervals between values. Age is a variable that can be measured on a ratio scale because it possesses these characteristics. It has a meaningful zero point (birth), and the intervals between ages are consistent (each year represents an equal interval).

Thus, the required, scale structure being used in a question that asks the respondent to write in his or her age on the survey is Ratio.

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The question seems to be incomplete, the complete question is:

What type of scale structure is being used in a question that asks the respondent to write in his or her age on the survey?

A. Nominal

B. Ordinal

C. Ratio

D. Interval

E. Likert

Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.

Answer:

x = 16

4x = 64

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

Add the given angles and solve for x

93 + 46+ 3x + 62 + 4x +47 = 360

7x + 248 = 360

7x = 360 –248

x = 16

4(16) = 64

Answer:

23/30

Step-by-step explanation:

x/y

(3 5/6)/(3 3/4)

((3*6)+5/6)/((3*4)+ 3/4)

(18+5/6)/(12+3/4)

(23/6)/(15/4)

(23/6)*(4/15)

(23*3)/(6*15)

(69/90)

23/30

Answer:

1 1/45

Step-by-step explanation:

Answer:

The answer is 165,1959 if you don't need to show work.

Answer:

|-4| < |-5|

Step-by-step explanation:

because if modules is given sub sign will be deducate

If the area of the rectangle is 40 square centimeters and length is 7 cm less than 3 times the breadth then the length will be 8 cm and breadth will be 5 cm.

Given area of the rectangle is 40 square centimeters and length is 7 centimeters less than 3 times the breadth.

let the breadth of rectangle be x.

According to question

Length=3x-7

Breadth=x

Area of  rectangle=length* breadth

=\((3x-7)x\)

=\(3x^{2} -7x\)

Area is given as 40 square centimeters.

40=\(3x^{2} -7x\)

\(3x^{2} -7x-40=0\)

By factorization

\(3x^{2} -15x+8x-40=0\)

3x(x-5)+8(x-5)=0

(3x+8)(x-5)=0

3x+8=0

x=-8/3

x-5=0

x=5

We should neglect x=-8/3 because side cannot be negative. So we have taken x=5.

Put x=5 in 3x-7 to get length

length=3(5)-7

=15-7

=8

Hence the length will be 8 cm and breadth will be 5 cm.

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The HL postulate states that two triangles are congruent if the hypotenuse and leg of one right triangle are congruent with the hypotenuse and leg of another right triangle.

Hypotenuse Leg Theorem

hypotenuse theorem proof shows how a given set of right triangles is congruent when the corresponding hypotenuses and one leg are of equal length.

Statement:

Two triangles are congruent by the hypotenuse leg theorem if the hypotenuse and one leg of a right triangle are congruent with the hypotenuse and leg of another right triangle.

given: where ABC is an isosceles triangle, AB = AC, and AD is perpendicular to BC.

Proof : AD as altitude is perpendicular to BC and forms ADB and ADC as right triangles. AB and AC are the respective hypotenuses of these triangles and we know they are equal. Because AD = AD is common for both triangles.

That is, AB = AC and AD is common.

Therefore, the hypotenuse and pair of legs of the two right-angled triangles satisfy the definition of the HL theorem.

We know that angles B and C are equal (property of isosceles triangle).

We also know that the angles BAD and CAD are equal (AD bisects BC and BD equals CD).

Therefore, △ADB ≅ △ADC

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Let us begin by defining arc measure

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc.

From the given diagram, we can determine that:

measure of arc DC = 100 degrees

Answer: 100 degrees

Answer:

Option D

Step-by-step explanation:

From the table attached,

Ordered pairs to be plotted → (1, 472.08), (2, 454.26), (3, 444.95), (4, 439.49), (5, 436.55)

By using linear regression calculator,

Equation of the regression line → y = -8.583x + 475.215

Option D will be the answer.

This equation represents the pdf for the reaction time of this particular stimulus, where \(\(x\)\) represents the time in seconds:

\(\[f(x) = \frac{1}{0.5 \sqrt{2\pi}} \exp\left(-\frac{(x - 2)^2}{2 \cdot 0.5^2}\right)\]\)

To represent the probability density function (pdf) of the reaction time for a certain stimulus, let's denote the random variable as \(\(X\)\). The pdf can be expressed as: \(\[f(x)\]\)

where \(\(f(x)\)\) represents the density function.

Let's consider an example where the reaction time \(\(X\)\) for a certain stimulus is modeled by a normal distribution. The pdf of a normal distribution with mean \(\(\mu\)\) and standard deviation \(\(\sigma\)\) is given by:

\(\[f(x) = \frac{1}{\sigma \sqrt{2\pi}} \exp\left(-\frac{(x - \mu)^2}{2\sigma^2}\right)\]\)

Let's assume that for this stimulus, the mean reaction time is \(\(\mu = 2\)\) seconds and the standard deviation is \(\(\sigma = 0.5\)\) seconds. Substituting these values into the pdf, we have:

\(\[f(x) = \frac{1}{0.5 \sqrt{2\pi}} \exp\left(-\frac{(x - 2)^2}{2 \cdot 0.5^2}\right)\]\)

This equation represents the pdf for the reaction time of this particular stimulus, where \(\(x\)\) represents the time in seconds.

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Answer:

x=3

y=2

(3,2)

Step-by-step explanation:

Answer:

13.9%

Step-by-step explanation    :

Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.

 0.138613961 ------ when multiplying by 100 you move two spots the decimal point:     13.8613961 %

The tenth digit is 8 the number after that is 6  

If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit.

6 is greater than 5 so we add 1 to 8 and becomes 9

If the digit  after the tenth was 4 instead 6, for example,then it would be 13.8%

The graph of g is Transformation up 7 units.

what is Transformation?

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

solution:

From the question, we have the following parameters that can be used in our computation:

g(x) = f(x) + k

Also, we have the value of k to be

k = 7

From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units

This means that

g(x) = f(x) + k

So, we have

g(x) = f(x) + 7

Hence, the transformation is (a) translated up 7 units

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