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2 years ago

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A waitress earned the following tips during one hour: $4.50, $3.00, $5.00, and $3.75. She gave each of the two busboys working w

ith her $2.50. In addition to tips, the restaurant pays her $4.25 per hour. How much did she earn during that one hour of work?

1 answer:

anygoal [31]2 years ago

8 0

The waitress earns $20.25 but only has 15.25 because she gave each busboy $2.50.

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In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a w

monitta

Answer:

their sum: 2.8m

their difference: 1.2m

the third side's length should be smaller than their sum, larger than their difference

it could be: 1.3-1.4-1.5-1.6-1.7-1.8-1.9-2-2.1-2.2-2.3-2.4-2.5-2.6-2.7 but since it has to be a whole number, 2m is the only eligible answer.

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2 years ago

300-297+294-291+288-285+...+6-3

Ratling [72]

This sequence is decreasing by 3 each time. =)

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2 years ago

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Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]

Vadim26 [7]

Answer:

B) 28.53 unit²

Step-by-step explanation:

The diagonal AD divides the quadrilateral in two triangles:

Triangle ABD
Triangle ACD

Area of Quadrilateral will be equal to the sum of Areas of both triangles.

i.e.

Area of ABCD = Area of ABD + Area of ACD

Area of Triangle ABD:

Area of a triangle is given as:

$Area = \frac{1}{2} \times base \times height$

Base = AB = 2.89

Height = AD = 8.6

Using these values, we get:

$Area = \frac{1}{2} \times 2.89 \times 8.6 = 12.43$

Thus, Area of Triangle ABD is 12.43 square units

Area of Triangle ACD:

Base = AC = 4.3

Height = CD = 7.58

Using the values in formula of area, we get:

$Area = \frac{1}{2} \times 4.3 \times 7.58 = 16.30$

Thus, Area of Triangle ACD is 16.30 square units

Area of Quadrilateral ABCD:

The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²

None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²

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2 years ago

A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games. He dis

Harrizon [31]

Answer:

The most accurate inference from this boxplot is that: The visiting team had more variability in the number of shots taken.

Step-by-step explanation:

The box and whiskers plot is a way of presenting data that gives 5 major information about the distribution

From the whiskers of the plot, one can read

- The minimum value

- The maximum value

Then, from the boxplot, one can read

- The Median, represented by the middle line of the boxplot.

- The first Quartile or 25th percentile, represented by the lower end of the boxplot.

- The third quartile or 75th percentile, represented by the upper end of the boxplot.

Other variables that can be obtained from these five data points include

- The range of the distribution (maximum value minus minimum value)

- The interquartile range (a measure of variation, which is the difference between the third and first quartile of the distribution)

For the two boxplots that the coach made

Home team

Whiskers range from 16 to 32

Minimum value = 16

maximum value = 32

the box ranges from 20 to 23. A line divides the box at 22.

First quartile = 20

Third quartile = 23

Median = 22

IQR = 23 - 20 = 3

For the visiting team

Whiskers range from 14 to 32

Minimum value = 14

maximum value = 32

the box ranges from 16 to 24. A line divides the box at 18.

First quartile = 16

Third quartile = 24

Median = 18

IQR = 24 - 16 = 8

Since the median only represents the midpoint of the distribution, one cannot conclude with certainty that home team took more shots than the visiting team, information on the mean would confirm that.

A less controversial and evident inference is that the visiting team had more variability in their shots as their distribution has a higher Interquartile Range (IQR of 8 > 3) which is a direct measure of variation for distributions.

Hope this Helps!!!

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2 years ago

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Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112

Alexxandr [17]

Answer:

112°

Step-by-step explanation:

Given that the diagonals of trapezoid RSTU are congruent, it is an Isosceles Trapezoid.

One of the properties of an Isosceles Trapezoid is that the base angles are equal.

Therefore if the measure of angle S=112°, the measure of Angle U will also be 112°.

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2 years ago