One hundred people were asked about their favorite sport. Part A Complete the two-way frequency table. 19 29 40 60 Males Females Total Soccer 31 50 Basketball 21 50 Total 100 Part B Which of the following statements is true? Select all that apply. A. More males were surveyed than females. B. More females like soccer. C. An equal number of people like soccer and basketball. D. Twice as many females than males like basketball.

Answers

Answer 1

The statement which is true is more males were surveyed than females, the correct option is A.

How to form two-way table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  X_i  and Y_j  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We are given that;

            Males  Females  Total

Soccer      |  31   |    50   |  81

Basketball  |  21   |    50   |  71

Total       |  52   |   100   | 152

Now,

A. More males were surveyed than females.

True. From the table, we can see that 52 males were surveyed, while only 100 females were surveyed.

B. More females like soccer.

False. From the table, we can see that 31 males and 50 females like soccer, so a total of 81 people like soccer. This is the same as the number of females surveyed, so we cannot say that more females like soccer.

C. An equal number of people like soccer and basketball.

False. From the table, we can see that 81 people like soccer, while 71 people like basketball.

D. Twice as many females than males like basketball.

False. From the table, we can see that 21 males and 50 females like basketball. Twice the number of females who like basketball is 100, which is the total number of females surveyed, but this is not twice the number of males who like basketball.

Therefore, by the two-way table the answer will be more males were surveyed than females.  

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Related Questions

Solve for lengths of the missing sides in each pair of similar triangles. Round to nearest tenth if if necessary jk kl

Answers

For the given similar triangles, the length of the missing side in the second triangle is 20.

To solve for the length of the missing side in the pair of similar triangles, we can use the SSS similarity theorem. The theorem states that 'if all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar'. Since the triangles are similar, the ratio of their corresponding sides will be equal.

The given measurements of the first triangle are 12, 18, and 24, and the measurements of the second triangle are 10, 15, and x. To solve for x, you can use the ratio of corresponding sides of similar triangles. The ratio for the sides of the first triangle are 12:18:24 and for the second triangle are 10:15:x. The ratio of the corresponding sides is 10:12, 15:18, and x:24.

We can set up a proportion using the given dimensions and solve for x.

The proportion will look like this:

12/10 = 18/15 = 24/x

Cross-multiplying and simplifying, we get:

12x = 240

x = 20

Therefore, the length of the missing side in the second triangle is 20.

Note: The question is incomplete. The complete question probably is: Solve for length of the missing side in the pair of similar triangles. The dimensions of one triangle are 12, 18, and 24, and the dimensions of the second triangle is 10, 15, and x. (These are corresponding measurements).

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What does 500x235 equal?

Answers

Answer:

[tex]117500[/tex]

Step-by-step explanation:

[tex]500 \times 235=100\times (5\times 235)=1175 \times 100=117500[/tex]

Answer: 117,500

Step-by-step explanation: 500 x 235 = 117,500

Based on the t-test assuming equal variances on the T-Test Equal worksheet, is it reasonable to assume that the variances are equal? O Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal. O Whether the variances are equal or not is not relevant for this situation.O Examining the ratio of the variances, it is reasonable to conclude that the variances are equal. O It is impossible to determine if the variances are equal given the data we have.

Answers

Based on the t-test assuming equal variances "Examining the ratio of the variances, it is reasonable to conclude that the variances are unequal."

When conducting a t-test assuming equal variances, it is necessary to determine whether or not the variances of the two groups being compared are actually equal. This is important because the calculation of the t-statistic depends on the assumption of equal variances.

To assess the assumption of equal variances, one can examine the ratio of the variances of the two groups. Typically, if the ratio of the variances is greater than 2 or less than 1/2, then it is reasonable to conclude that the variances are unequal. In the absence of such evidence, one can assume that the variances are equal.

Therefore, it is not reasonable to assume that the variances are equal.

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Is it possible to form a triangle with side lengths 3.5, 3.5, and 9? If so, will it be scalene, isosceles, or equilateral? A. Yes; scalene O B. Yes; isosceles O C. Yes; equilateral O D. No

Answers

No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

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Write an exponential function for a graph that passes through the points (3, 2.8) and (4, 5.6) . Write the function in the form y=a(b)x.

Answers

The formula of the given exponential function whose graph passes through the points (3, 2.8) and (4, 5.6) is :

   y = 0.35* (2)ˣ

What is an exponential function?

When the input variable x appears as an exponent in the formula

f(x) = aˣ, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x. It is mostly used to determine exponential growth or decay.

When there is exponential growth, the quantity grows initially extremely slowly and subsequently quickly. Over time, the rate of change quickens. As time goes on, the rate of increase accelerates. In exponential decay, the quantity initially falls very quickly and then gradually. Over time, the rate of change slows. As time goes on, change happens at a slower rate.

The general formula of an exponential function is:

y = abˣ

It is said that points (3, 2.8) and (4, 5.6) are present on the graph of the given exponential function.

W can substitute these value values in the above formula.

2.8 = ab³

5.6 = ab⁴

Dividing the above equations,

2.8 /5.6 = b³/b⁴

1/2 = 1/b

b = 2

Now substituting this value in one of the equations to find the value of a.

2.8 = a. (2)³

a = 2.8/8 = 0.35

Therefore the formula of the given exponential function is :

   y = 0.35* (2)ˣ

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20,−10,5,___ what comes next

Answers

The next term is -25.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers. In Maths, number patterns are the patterns in which a list number that follows a certain sequence. usaually, the patterns establish the relationship between two numbers. It is known as the sequences of series in numbers.

Given;

The pattern20,−10,5,___

Here, first term is 20, second is -10

Difference=20+10

=30

Now,

=5-30

=-25

Therefore, the answer of the given pattern will be -25.

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The result of a number, when decreased by 66 2/3%, is 432. Find the number

Answers

Answer:

1298/3 is the answer

Step-by-step explanation:

Answer:

1296

Step-by-step explanation:

Let the unknown number be x.

If 432 is the result of x being decreased by 66²/₃%, then 432 is 33¹/₃% of x since 100% - 66²/₃% = 33¹/₃%.

Therefore:

[tex]\implies 33\frac{1}{3}\%\;\textsf{of}\;x=432[/tex]

[tex]\implies \dfrac{33\frac{1}{3}}{100} \cdot x=432[/tex]

[tex]\implies \dfrac{33\frac{1}{3}x}{100} =432[/tex]

Multiply both sides of the equation by 100:

[tex]\implies 33\frac{1}{3}x =43200[/tex]

Rewrite 33¹/₃ as an improper fraction:

[tex]\implies \dfrac{100}{3}x =43200[/tex]

Multiply both sides by 3:

[tex]\implies 100x=129600[/tex]

Divide both sides by 100:

[tex]\implies x=1296[/tex]

Therefore, the number that when decreased by 66²/₃% is 432, is 1296.

Translation: 2 units left and 1 unit down. Q(0,-1), D(-2,2), V (2,4), J(3,-3)

Answers

Translation: 2 units left and 1 unit down. Q(0,-1), D(-2,2), V (2,4), J(3,-3)

New coordinates are respectively, (-2, -2), (-4, 1), (0, 3), (1, -4)

What is the point?

A point is a location of an object by taking reference of origin, In general case we consider it at (0,0), At the origin value of both the coordinate position is considered as Zero, In simple words point indicates how much it is above or below from the coordinate axes.

Vertical distance from the x axis is known as y coordinate and horizontal distance from the y axis is known as x coordinate.

Given the points Q(0,-1), D(-2,2), V (2,4), and J(3,-3),

we can see that each point has been translated 2 units to the left and 1 unit down.

This is because each x-coordinate has decreased by 2 and each y-coordinate has decreased by 1.

So, the translation of 2 units left and 1 unit down has moved each point along the plane in the negative x-direction and the negative y-direction.

the points are respectively (-2, -2), (-4, 1), (0, 3), (1, -4)

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1. A solid metal cuboid has a volume of 600cm3.
(a) The base of the cuboid is 10cm by 12cm. Calculate the height of the cuboid.
(b) The solid metal cuboid is melted and made into 1120 spheres, each with radius 0.45cm. Find the volume of metal not used in making these spheres.​

Answers

Answer:

(a) The height of the cubiod is 5cm.

(b) The volume of metal not used in making these spheres is 172cm^3.

Step-by-step explanation:

(a) 12*10= 120

     600/120= 5cm

(b) volume of 1120 spheres= (4/3*π*0.45^3)(1120)

                                              = 428cm^3 (to 3 s.f.)

    600-428= 172cm^3

what is the solution to the system
line 1: y= -2x-4
line 2: y=2/5x + 16/5

Answers

The solution of system of equation  y= -2x-4 and  y=2/5x + 16/5 is (-3, 2).

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The system of equations are  y= -2x-4

and y=2/5x + 16/5

By substitution method let us find the solution.

2/5x + 16/5=-2x-4

2/5x+2x=-4-16/5

12x/5=-20-16/5

12x=-36

Divide both sides by 12

x=-3

Now plug in x value in any of the equation

y=-2(-3)-4

y=6-4

y=2

Hence, the solution of system of equation  y= -2x-4 and  y=2/5x + 16/5 is (-3, 2).

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Help. This is 2 parts

Answers

Answer:can u take a picture that is a bit more closer

Step-by-step explanation:

please submit a closer picture

Consider the equation pT=kVN, where k is a constant. Select all of the correct
answers that describe the variation between variables.
p varies [inversely or directly]with V
N varies [inversely or directly]with V
p varies [ inversely or directly]With T
T varies [ inversely or directly] with N

Answers

The correct answer is P and T directly varies with V and N, and P and N inversely varies with T and V respectively.

What is direct variation?

It is the mathematical relationship between two variables which can be expressed by an equation in which one variable is equal to a constant times the other.

Given that, the equation pT = kVN, where k is a constant.

pT = kVN

If we remove constant, then,

pT ∝ VN

or

p 1/∝ T

V 1/∝ N

Hence, the correct answer is P and T directly varies with V and N, and P and N inversely varies with T and V respectively.

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Use technology to find points and then graph the function y = log₂ (x − 1) — 5,
following the instructions below.
done plotting points
Plot at least four points that fit on the axes below. Click a point to delete it.
10 9 8
10
8
N
9
4
3
10

Answers

The (x,y) coordinate points of the logarithmic function are as follows. (2, -5), (3, -4), (5, -3), (9, -2), (1, - 10).

The graph of a logarithmic function

The exponential function is thought of as the inverse of the logarithmic function because of its close relationship. The logarithmic function logaN = x is derived from the exponential function ax = N.

When seen as an exponential form, the logarithm of any integer N is the exponent to which the base of the logarithm needs to be raised in order to reach the value of N.

The fundamental logarithmic function has the notation f(x) = log_ax(r) y = log_a(x), where a > 0. Natural logarithm (ln) and common logarithm are examples of log functions (log).

From the given information, the logarithmic function y = log₂ (x − 1)- 5 is plotted on the graph and the following x,y points are obtained.

(x,  y)(2, -5), (3, -4), (5, -3), (9, -2), (1, - 10).

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Question in the picture.

Answers

The domain and range of the function for the given graph is -

Domain : (-∞, + ∞)Range: [3, ∞)Define the term domain and range of the function?

The range of values which we're permitted to enter into our function is known also as domain of a function.

The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.The collection of all potential inputs for a function is its domain.The collection of potential output values for a function is known as its range. For instance, the range seems to be the non-negative real numbers for the function f(x)=x2 here on domain among all real numbers (xR), which may be represented as f(x)≥0 (or [0,∞) using interval notation).

Thus, the domain and range of the function for the given graph is -

Domain : (-∞, + ∞)Range: [3, ∞)

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How many milliliter in 1 microliter?

Answers

From the given  information provided, by converting the units there are 0.001 milliliters in 1 microliter.

This means that if you have 1 microliter of liquid, it is equal to 0.001 milliliters of liquid.

The conversion factor between milliliters (mL) and microliters (μL) is:

1 mL = 1000 μL

Therefore, to convert microliters to milliliters, you divide the number of microliters by 1000.

For example, if you have 500 μL of liquid, you can convert it to milliliters by dividing 500 by 1000:

500 μL / 1000 = 0.5 mL

So, 500 microliters of liquid is equal to 0.5 milliliters of liquid.

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HELP ASAP !!!!!!!PLEASE

Answers

Due to the fact that they are both increased to the same power, the two functions are exponential. Both functions have distinct constants and rates.

What is a function?

A unit of code known as a function carries out a particular task. A function in mathematics is a relationship between a set of allowable inputs and outputs, having the condition that each input is connected to exactly one output.

As illustrated in the graphic that represents the posed question, the two functions that we are considering are all such that we can see that they are exponential in nature.

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How many inches are there in 150 meters?

1 m≈39.37 in.

Responses

3.8 in.
3.8 in.

1554.1 in.
1554.1 in.

4355.5 in.
4355.5 in.

5905.5 in.
5905.5 in.

Answers

Answer: 5905.512 inches

A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.



Number of hours Total number of students

0 1

1 3

2 2

3 5

4 9

5 7

6 3


Determine the probability that a student studied for 1 hour.

1.0

0.9

0.3

0.1


hellppppppp ASAP

Answers

The probability that a student studied for 1 hour will be 0.10. Then the correct option is D.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The table is given below.

Number of hours               Total number of students

            0                                                 1

            1                                                  3

            2                                                 2

            3                                                 5

            4                                                 9

            5                                                 7

            6                                                 3

The total number of students is given as,

Total = 1 + 3 + 2 + 5 + 9 + 7 + 3

Total = 30

Then the probability that a student studied for 1 hour is given as,

P = 3 / 30

P = 0.10

The probability that a student studied for 1 hour will be 0.10. Then the correct option is D.

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if a residual is negative, then that data point lies _________________ the regression line.

Answers

A residual is the difference between an observed value and the predicted value from a regression line.

A negative residual indicates that the observed value lies below the regression line. This can be expressed mathematically using the formula [tex]y = mx + b[/tex], where y is the observed value, m is the slope, x is the independent value, and b is the y-intercept of the line.

For example, if the observed value is y = 3, the predicted value is y = 5, and the slope and intercept of the line are m = 2 and b = 1, respectively, then the residual can be calculated as [tex]y = 3 - (2*1 + 1) = -1.[/tex] Since the residual is negative, this indicates that the observed value lies below the regression line.

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Use the triangles to answer the question. Triangle A B C with A B = square root of 13, B C = 2, A C = 3, and angle C is labeled as a right angle. Also shown is triangle D E F with E F = 4, D F = 6, and angle F is labeled as a right angle. © 2016 StrongMind. Created using GeoGebra. If △ABC∼△DEF, what is the scale factor for the dilation that maps △ABC to △DEF? Enter your answer as a number.

Answers

The scale factor for the dilation that maps △ABC to △DEF is 0.75.

What is triangle?

A triangle is a geometric shape that consists of three line segments that connect to form three angles. These angles always add up to 180 degrees. A triangle has three sides and three vertices (corners). Triangles can have different shapes and sizes, and they are often classified based on the length of their sides or the size of their angles. Some common types of triangles include equilateral triangles (where all sides are equal in length and all angles are equal to 60 degrees), isosceles triangles (where two sides are equal in length), and right triangles (where one angle is a right angle, or 90 degrees). Triangles have many properties and are an important part of geometry and mathematics.

Here,

To determine the scale factor for the dilation that maps △ABC to △DEF, we need to find the ratio of the corresponding side lengths of the two triangles.

Since △ABC ∼ △DEF, we know that the corresponding angles of the two triangles are congruent. Therefore, angle B in △ABC corresponds to angle E in △DEF, and angle A in △ABC corresponds to angle D in △DEF.

Using the Pythagorean theorem, we can find the length of the missing side of △DEF:

DF² = DE² + EF²

6² =DE² + 4²

DE=√20

DE=2√5 units

3/4=2/2√5=√13/6=0.75

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What is the difference between positive and negative z-score table?

Answers

Z-scores can be either positive or negative, with a positive number signifying a score above the mean and a negative value signifying a score below the mean according to the z-score table.

The statistical measurement known as the Z-score describes the relationship between a value and the mean of a group of values. Z-score is quantified by the standard deviations from the mean. The mean score and the data point's score are equal when the Z-score is 0. The Z-score for a value that deviates by one standard deviation is 1.0. Z-scores are binary, with a positive value denoting a score above the mean and a negative value denoting a score below the mean.

Equation of the z-score: z = ( x - μ ) / σ

Get the value corresponding to one decimal place of the z-score by first looking at the left side column of the z-table.

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You pick a card at random.
1 2 3 4
What is P(factor of 10)?
Write your answer as a fraction or whole number.

Answers

The probability of picking a factor of 10 is 1/4 or 0.25 as a decimal.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
To calculate the probability of picking a factor of 10, we need to count the number of cards that are factors of 10 and divide that by the total number of cards.

The factors of 10 are 1, 2, 5, and 10. Out of the given cards, only 2 is a factor of 10.

Therefore, the probability of picking a factor of 10 is 1/4 or 0.25 as a decimal.

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Can someone help me answer this question??? LOL :)

Answers

For the exponential function:

g(x) = 14*(2)^x

We can see that:

a = 14, and b = 2.

How to identify the parts of the exponential function?

A general exponential function is written as:

y = a*(b)^x

Where a is the inital value of the exponential function and b is the base.

Here we have the exponential function:

g(x) = 14*(2)^x

Comparing that to the general one, we can see that the initial value is 14 and the base is 2.

Then:

a = 14

b = 2

The correct option is the second one.

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At what points does the helix r(t) = sin(t), cos(t), t intersect the sphere x2 + y2 + z2 = 26? (round your answers to three decimal places. If an answer does not exist, enter dne. ).

Answers

At (0.958, 0.287, 5) and (0.958, -0.287, -5) points, the helix r(t) = sin(t), cos(t), t intersect the sphere x^2 + y^2 + z^2 = 26.

The sphere x^2 + y^2 + z^2 = 26 is a sphere with center at the origin and radius sqrt(26).

The helix r(t) = sin(t), cos(t), t is parameterized by sine and cosine functions, which oscillate between -1 and 1.

To find the points at which the helix intersects the sphere, we need to find the values of t such that the distance between r(t) and the origin is equal to sqrt(26).

The distance between a point (x, y, z) and the origin is given by the formula:

d = sqrt(x^2 + y^2 + z^2)

So, substituting the values from r(t), we have:

d = sqrt(sin^2(t) + cos^2(t) + t^2)

Setting d equal to sqrt(26), we have:

sqrt(sin^2(t) + cos^2(t) + t^2) = sqrt(26)

Squaring both sides, we have:

sin^2(t) + cos^2(t) + t^2 = 26

Recall that sin^2(t) + cos^2(t) = 1, so we have:

1 + t^2 = 26

Subtracting 1 from both sides, we have:

t^2 = 25

Taking the square root of both sides, we have:

t = ±5

So, the two points of intersection are (sin(5), cos(5), 5) and (sin(-5), cos(-5), -5).

Rounding the results to three decimal places, we have:

(sin(5), cos(5), 5) = (0.958, 0.287, 5)

(sin(-5), cos(-5), -5) = (0.958, -0.287, -5)

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please help me on this

Answers

"Monica swam 9/16 of a mile on Tuesday. She swam 1 5/8 of a mile on Wednesday. She swam approximately 2 miles in all" is the true statement.

How to determine which statement is true?

This a problem on addition and subtraction of fractions

Since Hope's dad gives her 7/8 of a chocolate bar one day and then gives her 6/12 of a chocolate bar the next day. Hope received approximately 1 chocolate bar. Total chocolate  received will be:

Total chocolate received = 7/8  + 6/12 = 1 3/8

This statement is not true

Since Dee has 10/12 of a cake and gives 4/8 to her neighbor. Dee has approximately 1 cakes left. The cakes left will be:

cakes left = 10/12 - 4/8 = 1/3

This statement is not true

Since Joe ran 8/15 of a mile on Thursday. He ran 4/5 of a mile on Friday. Joe ran approximately 1/2 mile in all. The total mile ran will be:

total mile ran =  8/15 + 1/2 = 2 1/10

This statement is not true

Monica swam 9/16 of a mile on Tuesday. She swam 1 5/8 of a mile on Wednesday. She swam approximately 2 miles in all.

mile swam =  9/16 +  1 5/8 = 2 3/16

This statement is true

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Find the measure of the indicated angle in each triangle?

Answers

The measure of ∠U= 80°, ∠B=44°, ∠Q= 93° respectively which indicates the angle of each triangle.

First take the Triangle TUV:

⇒∠T+∠U+∠V=180°

⇒37°+∠U+63°=180°

⇒∠U+100°=180°

⇒∠U=80°

Now, take triangle ABC:

⇒∠A+∠B+∠C=180°

⇒46°+∠B+90°=180°

⇒∠B+136°=180°

⇒∠B=44°

Finally take triangle PQR:

⇒∠P+∠Q+∠R=180°

⇒51°+∠Q+36°=180°

⇒∠Q+87°=180°

⇒∠Q=93°

Therefore, measure of the indicated angle in each triangle are 80°, 44 and 93° respectively.

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Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circular putting green has a diameter of 38 ft.

People on golf course, aerial view.

What is the area of the putting green?



Use π=3.14.

Question 1 options:
------------------------
ANSWERS:

1133.54 ft²


119.32 ft²


1133 ft²


1314.14 ft²

Answers

Answer:

Step-by-step explanation:  1133.5.

Solve each system by graphing
x-y=3
7x-y=-3

Answers

Answer: (-1, 4)

Explanation: To graph these equations you must set them equal to y.

y=x-3 and y=7x+3 should be the equations

When you graph them, they should intersect at point (-1,4)

What is the equation of the line that passes through the point (5,0) and has a slope of 6/5?

Answers

The solution is, the equation of the line that passes through the point (5,0) and has a slope of 6/5 is , y=6/5*x - 6

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

the line that passes through the point (5,0) and has a slope of 6/5

now, w know, the point slope form of straight line is,

y-y1=m(x-x1)

so, putting the values , we get,

y-0=6/5(x-(5))

y-0=6/5(x-5)

y=6/5*x- 30/5

y=6/5*x- 6

Hence, The solution is, the equation of the line that passes through the point (5,0) and has a slope of 6/5 is , y=6/5*x - 6

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find the length of the missing side leave your answer in simplest radical form

Answers

The length of the missing side in the given triangle is equal to option c. 5.

Figure is attached.

In the attached figure of a right angle triangle,

Let the triangle be named as ABC.

AC is the hypotenuse of a triangle.

AB is the altitude of a triangle.

BC is the base of a triangle.

Form the attached figure

Length of altitude AB = 3

Length of base BC = 4

Using Pythagoras theorem we have,

Hypotenuse² = Altitude² + Base²

⇒ AC² = AB² + BC²

Substitute the value we get,

⇒ AC² = 4² + 3²

⇒AC = √ 16 + 9

⇒ AC = √25

⇒ AC = 5

Therefore, the length of the missing side in the given triangle is equal to option c . 5.

The above question is incomplete, the complete question is:

Find the length of the missing side. Leave your answer in simplest radical form.

The triangle is not drawn to scale.

A.) 25

B.) 144

C.) 5

D.) Square root of 5

Figure is attached .

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