10. Lori plans to buy a book for $15.99, a magazine for $3.45, and a
bookmark for $1.99. What is an estimate of the total cost of the items to
the nearest dollar?
A) $9.00
B) $20.00
C) $21.00
OD) $22.00

Answer:

x < 5

Step-by-step explanation:

\(5x - 1 < 24\\5x < 25\\x < 5\)

Answer:

any number under 5

Step-by-step explanation:

5(5) -1 =24

so anything under that would equal fewer than 24

Is this what you're asking?

Answer:

its e

Step-by-step explanation:

because e is is referring to savvy

Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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You would expect approximately 136 numbers in the data set to be between 56 and 74.

To determine the number of numbers you would expect to be between 56 and 74 in a normally distributed data set with a mean of 65 and a standard deviation of 9, we can utilize the properties of the standard normal distribution.

First, we need to standardize the values of 56 and 74 by converting them to z-scores. The z-score formula is:

z = (x - μ) / σ

where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation.

For 56:

z = (56 - 65) / 9

z = -1

For 74:

z = (74 - 65) / 9

z = 1

Next, we need to find the area under the standard normal curve between the z-scores -1 and 1. We can use a standard normal distribution table or a calculator to find this probability.

Using a standard normal distribution table, the area between -1 and 1 is approximately 0.6826. This represents the proportion of the data that falls within one standard deviation of the mean.

To find the number of numbers expected to be between 56 and 74, we multiply the proportion by the total number of data points:

Expected number = Proportion * Total number of data points

Expected number = 0.6826 * 200

Expected number ≈ 136.52

As a result, you would anticipate that roughly 136 of the data set's numbers would fall between 56 and 74.

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Step-by-step explanation:

tu lo que pusiste es falso

a) P(R) = 0.2, P(B) = 0.12, P(G) = 0.16, P(Y) = 0.16, P(P) = 0.2, P(W) =0.16

b) The sum of the probabilities is equal to 1

c) Probability model shows nonuniform probability.

Probability is a branch of mathematics that deals with the study of random events and the likelihood or chance of their occurrence.

Part A: Let R, B, G, Y, P, and W represent the colors red, blue, green, yellow, purple, and white, respectively. Then, the probability of randomly selecting a balloon of each color can be represented by the following probability model:

P(R) = 5/25 = 0.2

P(B) = 3/25 = 0.12

P(G) = 4/25 = 0.16

P(Y) = 4/25 = 0.16

P(P) = 5/25 = 0.2

P(W) = 4/25 = 0.16

Part B: To verify that all possible outcomes are included in the probability model, we need to check that the sum of the probabilities of all possible outcomes is equal to 1.

P(R) + P(B) + P(G) + P(Y) + P(P) + P(W) = 0.2 + 0.12 + 0.16 + 0.16 + 0.2 + 0.16 = 1

Since the sum of the probabilities is equal to 1, we can conclude that all possible outcomes are included in the probability model.

Part C: To determine whether the probability model shows uniform or nonuniform probability, we need to compare the probabilities of the different outcomes.

Since the probabilities of the different outcomes are not equal, the probability model shows nonuniform probability.

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A visualization technique to view a distribution of the popularity of words in a bag-of-words model is a word cloud.

A common technique for visualizing the distribution of the popularity of words in a bag-of-words model is the word cloud.

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the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.

Amdahl's Law is used to calculate the overall speedup of a system when only a portion of the system's execution time is improved. The formula for Amdahl's Law is: Speedup = 1 / [(1 - P) + (P / S)], where P represents the proportion of the execution time that is improved and S represents the speedup achieved for that proportion.

In this case, the system spends 55% of its time on I/O, so P = 0.55. The disk upgrade provides for 50% greater throughput, which means S = 1 + 0.5 = 1.5.

Plugging these values into the Amdahl's Law formula, we have Speedup = 1 / [(1 - 0.55) + (0.55 / 1.5)].

Simplifying further, we get Speedup = 1 / [0.45 + 0.3667].

Calculating the expression in the denominator, we find Speedup = 1 / 0.8167 ≈ 1.2247.

Therefore, the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.

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The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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The scores of both groups are skewed, so the median and standard deviation are the best measures for comparison. Option D is correct.

In comparing the test scores of two groups, it is important to choose appropriate measures of center and variation to accurately represent the data. If both distributions are nearly symmetric, the mean and standard deviation are commonly used.

However, if the distributions are skewed, it is better to use the median and standard deviation as measures. In this particular case, the scores of Group B are skewed right, which means that the mean may not be a reliable measure of center. Instead, the median should be used. The range is not a good measure of variation for skewed data because it is sensitive to extreme values, so the standard deviation is more appropriate. Hence, option D is answer.

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--The complete question is, The table shows the test scores of students who studied for a test as a group (Group A) and students who studied individually (Group B).

Which would be the best measures of center and variation to use to compare the data?

The scores of Group B are skewed right, so the mean and range are the best measures for comparison.

Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison.

Both distributions are nearly symmetric, so the median and the interquartile range are the best measures for comparison.

The scores of both groups are skewed, so the median and standard deviation are the best measures for comparison.--

Answer:

The slope m of the line is;

Explanation:

Given the graph in the attached image.

We want to find the slope of the graph.

The slope can be calculated using the formula;

Taking two points from the graph;

Substituting the coordinates, we have;

Therefore, the slope m of the line is;

The y-intercept of the line is at;

Writing the slope intercept form of the equation;

where;

m = slope

b = y-intercept

substituting the slope and the y intercept we have;

Therefore, the equation of the line is;

The slope of the regression line infers that "For every 1 inch increase in tail length, the predicted weight increases by 3 pounds."

The slope gives change in the value of y variable for every change in the x variable. Here, the value of the slope for the regression line is 3.

This means that for every 1 inch increase in the x variable , the value of the y variable increases by 3.

Therefore, For every 1 inch increase in tail length, the predicted weight increases by 3 pounds.

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The table values using function rule y = -10x - 2 is (8,-2,-12,-52)

Given function

y = -10x - 2

From the table

x = -1 , 0 , 1 , 5

substitute x values in function

if x = -1

y = -10x - 2

= -10(-1) - 2

= 10 - 2

y = 8  

if x = 0

y = -10(0) -2

y = -2

if x = 1

y = -10(1) - 2

y  = -12

if x = 5

y = -10(5) -2

y = -52

y values (8,-2,-12,-52)

Table:

x      y

-1     8

0    -2

1     -12

5    -52

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Regine will earn $19,614 in interest over 3 years.

The simple interest formula is expressed as;

I = P × r × t

Where I is interest, P is principal, r is interest rate and t is time.

Given that:

First convert the rate from percent to decimal.

Rate r = 7%

Rate r = 7/100

Rate r = 0.07

Substituting these values into the formula, we get:

I = P × r × t

I = $93,400 × 0.07 × 3

I = $19,614

Therefore, the ineterst in 10 years is $19,614.

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If point T is on the line segment SU and ST=2x+1, SU=4x and TU= 5x-4, then the length of ST is 3 units

The point T is on the line segment SU.

The length of ST= 2x+1

The length of SU= 4x

The length of TU= 5x-4

The length of SU= The length of ST + The length of TU

Substitute the values in the equation

4x = 2x+1 + 5x-4

Combine the like terms

4x = 7x-3

Move 7x to left hand side

7x-4x=3

x= 1

The length of ST = 2x+1

Substitute the values in the equation

The length of ST = 2×1+1

=2+1

=3 units

Hence, if point T is on the line segment SU and ST=2x+1, SU=4x and TU= 5x-4, then the length of ST is 3 units

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Answer:

3y - 2x

Step-by-step explanation:

Answer:

15,120

Step-by-step explanation:

i got it correct

answer: 15,120 for (plato/edmentum users).

The perimeter are given by the sum of the expressions of the lengths of

the sides which are each equal to 4·x + 6.

Response:

Part A

Part B

Part A

Given parameters;

Perimeter of the rectangular garden = Perimeter of the triangular garden

Therefore;

Perimeter of the rectangular garden = 2 × (x + 2) + 2 × (x + 1) = 4·x + 6

Perimeter of the triangular garden = x + 3 + 2·x + 1 + x + 2 = 4·x + 6

The equation that sets the perimeters equal is therefore;

4·x + 6 = 4·x + 6

The solution of the above equation is therefore;

x = x

Part B

The values of x that make the first part of the equation true are;

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\(\\ \sf\longmapsto Time\:period=\dfrac{Time\:taken}{No\:of\; oscillations}\)

\(\\ \sf\longmapsto Time\:taken=No\:of\: oscillations (Time\: period)\)

\(\\ \sf\longmapsto Time\:taken=20(0.5)\)

\(\\ \sf\longmapsto Time\:taken=10s\)

\(\begin{gathered} {\underline{\boxed{ \rm {\red{Time \: period \: = \: \frac{Time \: \: taken}{Number \: of \: oscillations} }}}}}\end{gathered}\)

\(\begin{gathered} {\underline{\boxed{ \rm {\purple{Time \: taken \: = \: Number \: of \: oscillations \: (Time \: period)}}}}}\end{gathered}\)

\( \large \rightarrow \: {\rm {{{\color{orange}{Time \: taken \: = \: 20 (0.5)}}}}} \)

\(\large \rightarrow \: {\rm {{{\color{orange}{Time \: taken \: = \: 10s}}}}} \)

Answer:

1.77865216

Step-by-step explanation:

Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

Explanation: A spherical triangle is a triangle formed on the surface of a sphere by three great circle arcs intersecting pairwise to form three vertices. Any three points that do not lie on a great circle of the sphere will not determine a spherical triangle. Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere. Any set of three non-collinear points that do not lie on a great circle of the sphere does not determine a spherical triangle.

Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

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Therefore , the solution of the given problem of triangle comes out to be

Orthocentre (0, - 5 ).

Triangles are polygons with three sides and three vertices. The triangle's angles are created by joining its three sides end to end at a single point. The triangle has three angles, and the sum of them is 180 degrees.

Here,

We need the lengths of the triangle's three sides in order to identify which of the aforementioned cases the triangle fits into.

Make the length calculations using the distance formula.

d = \(\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\)

L(0, 5) and M(3, 1)

LM =d = \(\sqrt{(3-0)^{2}+(1-5)^{2}}\)  = 5

L(0, 5) and (N(8, 1)

LN = d = \(\sqrt{(8-0)^{2}+(1-5)^{2}}\)   = √80

M(3, 1) and (N(8, 1)

MN = \(\sqrt{(8-3)^{2}+(1-1)^{2}}\)  = 5

If a triangle has three sides, a, b, and c, and side c is the longest, then

• Right triangle formed by a2 + b2 = c2

• a2 + b2 c2 - acute triangle

Triangle with angles a2, b2, and c.

A, B, and C are equal to five in this instance.

a² + b² = 5² + 5² = 25 + 25 = 50

c² = (4 )² = 80

A triangle is obtuse and the orthocentre lies outside the triangle because a2 + b2 c2.

The place where the triangle's three altitudes converge is known as the orthocentre.

For the orthocentre's coordinates, we only need to simultaneously solve

the equations for two of the altitudes.

A line drawn at a right angle from a vertex to the other side is known as an altitude.

Altitude from M to LN

Calculate the slope of LN using the slope formula

m =  (y2 - y1 )/ (x2- x1 ) = 1-5/8-0   ⇒  = 2

Equation of altitude

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y = 2x - 5 → (1)

Altitude between M and LN

Utilize the slope formula to determine LN's slope.

m = (y2 - y1)/ (x2- x1) = 1-5/8-0 ⇒ = 2

formula for altitude

y - 1 = 2(x - 3) (x - 3)

y - 1 = 2x - 6

y = 2x - 5 → (1) (1)

Altitude between N and LM

m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4

formula for altitude

y - 1 = (x - 8) (x - 8)

y - 1 = x - 6

y = x - 5 → (2) (2)

Adding (1) to (2)

2x - 5 Equals x - 5 ( multiply through by 4 ) ( multiply through by 4 )

8x - 20 = 3x - 20

5x - 20 = - 20 ( add 20 on both sides ) ( add 20 to both sides )

5x = 0 ⇒ x = 0

Place x = 0 in place of (1)

y = 0 - 5 = - 5

It is the orthocentre (0, - 5 )

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The given statements are as follows:

b. If f is not one-to-one on the interval (a,b), then the area of the surface generated when the graph of f on [a,b] is revolved about the x-axis is undefined.

The statement in part b is false. A counterexample would be the graph of f(x) = x^2 on the interval [-1,1). The function is not one-to-one on this interval since both -1 and 1 map to the same value, but the surface area generated when the graph is revolved around the x-axis is approximately 7.62 square units. Therefore, the statement is not true.

The statement claims that if a function is not one-to-one on an interval, then the surface area generated by revolving its graph around the x-axis is undefined. However, the counterexample of f(x) = x^2 on [-1,1) disproves this statement. Even though the function is not one-to-one on the interval, it still has a well-defined surface area when revolved around the x-axis. Therefore, the statement is false.

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The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Answer:

f(5) = 22; f(9) = 34

Step-by-step explanation:

f(5) = 3(5) +7

f(5) = 22

f(9) = 3(9) +7

f(9) = 34

Answer:

it has 7 sides

Step-by-step explanation:

that is the only answer on this I know sorry

Answer:

f = (N² - H)/6

Step-by-step explanation:

Step 1: Write equation

N² = 6f + H

Step 2: Solve for f

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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