UW

is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}m∠UVW=(3x+16)

∘

, \text{m}\angle WUV = (2x+8)^{\circ}m∠WUV=(2x+8)

∘

, and \text{m}\angle VWX = (8x-18)^{\circ}m∠VWX=(8x−18)

∘

. Find \text{m}\angle WUV.m∠WUV.

The **value** of the **angle** m∠WUV will be equal to 36°.

**Triangle** may be defined as a closed figure having **three sides** and three interior angles. The above question can be solved by using the exterior angle **theorem** of triangle. The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is **extended**, is equal to the sum of the **opposite interior** angles of that triangle. Applying the exterior angle of a triangle theorem:

m∠WUV + m∠UVW = m∠VWX

**Substitute** the values of angles.

(2x + 8) + (3x + 16) = (8x - 18)

5x + 24 = 8x - 18

5x - 8x = -24 - 18

-3x = -42

=> x = -42/-3

=> x = 14

So, the **angle** m∠WUV = 2x + 8

Putting in the value of x

m∠WUV = 2(14) + 8

m∠WUV = 28 + 8

m∠WUV = 36° which is required **value**.

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standard to slope intercept form

**Answer: y = 1/6x + 1**

**Step-by-step explanation:**

12y - 2x= 12

+2x +2x

12y = 12 + 2x

DIVIDE BOTH SIDES BY 12

y = 1 + 1/6x

THEN PUT IN SLOPE INTERCEPT FORM

y = 1/6x + 1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y - 2x = 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y = 2x + 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{12} x + \frac{12}{12} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{1}{6} x + 1[/tex]

Slope = 1/6, y - intercept = 1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

ANSWER ASAP For a ride on a rental scooter, Kevin paid an eight dollar fee to start the scooter +6 cents per minute of the ride. The total bill for Kevin’s ride was $14.36 for how many minutes did Kevin ride the scooter.

**Answer:**

106 seconds

**Step-by-step explanation:**

14.36-8=$6.36 $6.36=636 cents so 636/6=106 so 106 seconds

Cathy has 48m of fencing to make a rectangular pen for her pets. What is the

maximum area?

The area of the square will be 100 square meters. Then the dimensions of the pen of the rectangle will be 10 by 10 which is a square.

**What is the area of the square?**

Let a be the side length of the square.

Then the area of the square will be

Area of the square = a² square units

Cathy has 40 meters of fencing to build a rectangular pen for her pets.

For the maximum area of the rectangle, the length and width should be congruent.

40 = 4a

a = 10

Then the area of the square will be

**A = 10²**

**A = 100 square meters**

The dimensions of the pen of the rectangle will be 10 by 10 which is a square.

Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. Who runs ata faster 2 3 1 3 speed – Maria or Althea? Explain your reasoning.

The fact that **Maria** runs of a mile every 8 minutes means that we runs faster.

The **speed** is measured as the distance with respect to the time. This will be illustrated thus:

**Maria** runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. It should be noted that an hour is 60 minutes. That means the she runs 1 mile in (60 / 2) = 30 **minutes****.**

In this case, **Maria** runs faster. This is because of her **speed**.

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Evaluate. Write your answer as a whole number or as a simplified fraction.

Submit

**Answer:**

1 / 121

**Step-by-step explanation:**

4^0 / 11^2

= 1 / 11^2

= 1 / 121

use the properties of vector addition and scalar multiplication from the following theorem. properties of vector addition and scalar multiplication in rn let u, v, and w be vectors in rn, and let c and d be scalars.

The set R^2 with x ≤ 0 and y ≤ 0 is not a **vector **space.

The 10th axiom cv∈ V does not hold

Let u, v and w be vectors in the vector space V, and let c and d be **scalars**. A set S is defined as a **vector **space if it satisfies the following conditions:

1. u+ v ∈V

2. v + w = w + v

3. (u + v) + w = u + (v + w)

4. v + 0 = v = 0 + v

5. v + (−v) = 0

6. 1v = v

7. c(dv) = (cd)v

8. c(v + w) = cv + cw

9. (c + d)v = cv + dv

10. c v ∈V

Given the set of all vectors x, y in R^2 with x ≤ 0 and y ≤ 0

If the **scalar **c is such that c<0 then c v ∉R^2as cv>0

Therefore, the 10th axiom is not satisfied and thus the set R^2 with x ≤ 0 and y ≤ 0 is not a vector space.

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Draw a polygon with vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2). What is the perimeter, in units, of polygon RSTU? Draw a polygon with vertices R(-4, 2), S(2, 2), T(2, -2), and U(-4, -2). What is the perimeter, in units, of polygon RSTU?

**Answer:**

**Step-by-step explanation:**

Plot the points, we see it is a rectangle.

**Side lengths** are:

The **perimeter **is:

The perimeter of polygon RSTU is

How to find distance between straight line?A **straight line** connects any two places with the smallest distance possible. The **distance formula** can be used to get this distance. It is possible to define the **distance** between two positions (x 1, y 1) and (x 2, y 2) as d=√(x2-x1)² + (y2 - y1)².

Distance between R and S is;

√(2+4)² + (2 - 2)²= 6 units

Distance between S and T is;

√(2-2)² + (-2 - 2)²= 4 units

Distance between T and U is;

√(-4+-2)² + (2 - 2)²= 6 units

Distance between T and U is;

√(-4+4)² + (2 + 2)²= 4 units

The total **perimeter** is of **polygon** is:

6+4+6+4 = 20 units

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What is the absolute value of −1/4 ?

Plot your answer on the number line.

**Answer:**

1/4

**Step-by-step explanation:**

Hope this helps!

please answer question 98 please!

thanks

Answer: 1.6 hours (when rounded to nearest tenth)

Steps: 3, 2, 2, 1, 1.5, 2. Add together; 9.5

divide; 9.5 / 6 = 1.583333

round up to nearest tenth; 1.6

Explanation: To calculate average (also called “mean”), you have to add all the numbers together, and divide that number by how many numbers there were. ex: 5, 2, 7, 4, 2. First you would add the numbers together: 20. There were 5 numbers I added together; 20 / 5 = 4. The average would be four.

Steps: 3, 2, 2, 1, 1.5, 2. Add together; 9.5

divide; 9.5 / 6 = 1.583333

round up to nearest tenth; 1.6

Explanation: To calculate average (also called “mean”), you have to add all the numbers together, and divide that number by how many numbers there were. ex: 5, 2, 7, 4, 2. First you would add the numbers together: 20. There were 5 numbers I added together; 20 / 5 = 4. The average would be four.

PLEASE HELP ME! QUICK!

The **volume** of the given triangular prism to the **nearest tenth** is; 171.5 in³

What is the Volume of the triangular prism?

The volume of a triangular prism of the kind given to us is expressed as;

**Volume** of a triangular prism = area of base triangle × length of the prism

Now, the formula for **area** of base triangle is;

Area = 1/2 * base * height

From the question, we have;

**base** = 9.8 in

**height** = 14 in

Now, the **length** of **prism** is 2.5 inches. Thus;

Volume of prism = (1/2 * 9.8 * 14) * 2.5

**Volume** of prism = 171.5 in³

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What is an equation of the line that passes through the point (2,-3) and is parallel to the line 2x+5y=10

The **equation of the line** that passes through the point (2,-3) and is parallel to the line 2x + 5y = 10** **is y = - 2 / 5 x - 11 / 5

The** equation of a line** can be represented in various form such as point slope form, slope intercept form and standard form.

Therefore, let's find the **equation of the line** that passes through the point (2, -3) and is parallel to the line 2x + 5y = 10.

Hence, parallel lines have the same slope.

5y = -2x + 10

y = - 2 / 5 x + 2

Therefore, the slope of the line is - 2 / 5.

Let's find the y-intercept using the slope intercept equation.

y = mx + b

where

m = slopeb = y-interceptHence, (2, -3)

-3 = - 2 / 5(2) + b

-3 = - 4 / 5 + b

b = - 3 + 4 /5

b = - 11 / 5

Therefore, the **equation of the line** is y = - 2 / 5 x - 11 / 5

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The required **equation **of the **line **y = - (2/5)x - 11/5 passes through the **point **(2,-3) and is **parallel **to the line 2x + 5y = 10.

We have to determine the **line **that passes through the **point **(2,-3) and is parallel to the line 2x+5y=10

**Parallel lines **are known to have the same **slope**.

Firstly, we have to find its slope by the given line

⇒ 5y = -2x + 10

⇒ y = - (2/5)x + 2

Thus, the **slope **of the **line **is - 2/5.

Let the required **equation **of the line is y - y₁ = m(x -x₁ )

Here x₁ = 3, y₁ = 1 and m = -2/5

y - 1 = (-2/5)(x - 3)

y - 1 = (-2/5)x + 3(-2/5)

y = - (2/5)x - 6/5 +1

y = - (2/5)x - 11/5

Therefore, the required **equation **of the **line **is y = - (2/5)x - 11/5.

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Please help!! I’ve been struggling

Explain how to solve this question by multiplying, dividing, adding, or subtracting both sides by 2

**Answer:**

x=16

**Step-by-step explanation:**

x/2 = 8

Multiply both sides by 2

x=16

:] Hope this helps

**the answer would be x=16**

**you would multiply both sides by 2 **

0.8 divided by 0.6 then round to nearst hundredth

**Answer: 1.33**

**Step-by-step explanation:**

**0.8 divided by 0.6= 1.33333333333**

3 is in the hundredths place and 3 is in the thousandths place.

Since the digit in the thousandths place (3) is less than 5, the digit in the hundredths place (3) does not change.

The digits to the right of the hundredths place are dropped.

1.33333333 rounded to the nearest hundredth (two decimal places) = **1.33.**

!!20 Points!! Solve using augmented matrices.

x+y=1

3x-y=7

x=2

y=-1

You have to do subtitution

y=-1

You have to do subtitution

What will be the location of T′ in the image trapezoid S′T′U′V′? (10, −1) (10, 1) (13, 1) (13, −1)

By **translating** trapezoid S′T′U′V 7 using the same **translation** rule, the location of T′ in the image trapezoid S′T′U′V′ is: D. (13, -1)

Generally, there are four (4) main types of **transformation** and these include the following:

In Geometry, a **translation** can be defined as a type of **transformation** which moves every point of a geometric figure or object in the same direction, as well as for the same distance.

By critically observing the graph (see attachment), we can logically deduce that rectangle JKLM was **transformed** to rectangle J'K'L'M' by **translating** it 7 units to the right and 5 units up.

Next, we would apply the same **translation** rule to T' which is located at point (6, -6) as follows:

(x, y) → (x + 7, y + 5)

Point T (6, -6) → Point T' = (6 + 7, -6 + 5) = (13, -1)

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Complete Question:

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.

What will be the location of T′ in the image trapezoid S′T′U′V′? (10, −1) (10, 1) (13, 1) (13, −1)

A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 10 granola bars and each large box has 12 granola bars. The camp bought a total of 9 boxes that have 100 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

The system of **equations** that could be used to determine the number of small **boxes** purchased and the number of large boxes purchased is b + s = 9 and 10s + 12s = 100

A mathematical **equation** is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the **scenario****.**

Let the **small box** be represented as s.

Let the big box be represented as b.

Each small box has 10 granola bars and each large box has 12 granola bars. The The camp bought a total of 9 **boxes** that have 100 **granola** bars altogether.

The **equation** will be:

b + s = 9

10s + 12s = 100

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**Answer:**

10*x* + 12*y* = 100

*x* + *y* = 9

**Step-by-step explanation:**

Define Variables:

Let *x* = the number of small boxes purchased

Let *y* = the number of large boxes purchased

Each small box has 10 granola bars, so small boxes have 10*x* granola bars.

Each large box has 12 granola bars, so large boxes have 12*y* granola bars. Therefore, the total number of granola bars 10*x* + 12*y* equals 100:

10*x* + 12*y* = 100

Since a total of 9 boxes were purchased, we know *x *+ *y *must equal 9.

*x* + *y* = 9

a researcher separated the people in a population into three political categories: democrat, republican, or independent. she then selected a random sample from each of these three groups. what kind of sample did she select?

The researcher makes use of **stratified sampling** method to select a random sample from each of the three groups mentioned.

It is given to us that -

A researcher separated the people in a population into three political categories:

Democrat

Republican

or, Independent.

It is also mentioned that she then selected a random sample from each of these three groups.

We have to determine the kind of sample she selected.

In this case, stratified sampling is used by the researcher to select a random sample.

Stratified sampling is a type of **probability sampling** method where the total population is segmented into **homogenous groups** to successfully complete the sampling technique.

Here we see that the researcher has separated the total population into homogenous groups of democrat, republican, or independent.

From these homogenous groups, she selected random samples.

Thus, the kind of sample selected by the researcher is stratified sampling.

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help on the ones you know

**Answer:**

**2. y = x + 13**

**Step-by-step explanation:**

Your points are: (-4, 9) and (2, 15)

To write an equation of a line from two ordered pairs, you first find the slope (m)

To find the slope, you do **y2 - y1 / x2 - x1**

(-4 is x1, 9 is y1) (2 is x2, 15 is y2)

Plug in the numbers:

15 - 9 **/** 2 - (-4) ----------------------> 6/6 ----------> 1, **m = 1**

The next equation we'll use is **y - y1 = m(x - x1)**

**and slope intercept form is y = mx + b**

Pick either ordered pair to plug in the coordinates, but this time I'll use

(2, 15) -----> **2 is x1, 15 is y1**

**y - 15 = m(x - 2)**

Since we already know the slope, **m**, we can simplify the equation.

y - 15 = 1(x - 2)

Distributive property

y - 15 = x - 2

Add 15 on both sides,

**y = x + 13**

1. y=(2/3)x-4

slope is rise/run. starting at (0,-4), i counted up 4 to the x-axis then over 6 to the point (6,0). this gives a slope of 4/6, which is then reduced to 2/3. our b in the y=mx+b is found by looking for where the line crosses the y-axis, which is at (0,-4). b is this y value. plugging everything in (m for slope, b for y-intercept) gives y=(2/3)x-4

2. the other commenter did a great job at explaining 2

3. the line with a slope of -3 is steeper

start this problem by solving for y in the equation given. -5x+2y=8 becomes 2y=5x+8, then y=(5/2)x+4. all we need from this is the slope 5/2 to compare to -3. a steeper slope is given by the larger absolute value. |5/2| is 5/2, and |-3| is 3. 5/2<3, so the line with the slope -3 is steeper.

4a. the lines are neither perpendicular or parallel.

the slopes are different, so they cannot be parallel. the slope of the first equation and second equation (-4 and 4) are not inverse reciprocals of each other, so they cannot be perpendicular.

4b. the lines are parallel.

to find the answer of this question, solve for y in the first equation. 5x+15y=-8 becomes 15y=-5x-8, then y=-(1/3)x-(8/15). the slopes of the lines are both -1/3 with different y-intercepts, so the lines are parallel.

5. y=(1/3)x-(14/3)

use point-slope form and simplify. plugging into point slope gives us y+2=m(x-8). m is found by taking the inverse reciprocal of the equation given to us. the inverse reciprocal of -3 is 1/3, so m=1/3. the equation is y+2=(1/3)(x-8). distribute to get y+2=(1/3)x-(8/3). solve for y. y=(1/3)x-(8/3)-2. y=(1/3)x-(8/3)-(6/3). y=(1/3)x-(14/3)

slope is rise/run. starting at (0,-4), i counted up 4 to the x-axis then over 6 to the point (6,0). this gives a slope of 4/6, which is then reduced to 2/3. our b in the y=mx+b is found by looking for where the line crosses the y-axis, which is at (0,-4). b is this y value. plugging everything in (m for slope, b for y-intercept) gives y=(2/3)x-4

2. the other commenter did a great job at explaining 2

3. the line with a slope of -3 is steeper

start this problem by solving for y in the equation given. -5x+2y=8 becomes 2y=5x+8, then y=(5/2)x+4. all we need from this is the slope 5/2 to compare to -3. a steeper slope is given by the larger absolute value. |5/2| is 5/2, and |-3| is 3. 5/2<3, so the line with the slope -3 is steeper.

4a. the lines are neither perpendicular or parallel.

the slopes are different, so they cannot be parallel. the slope of the first equation and second equation (-4 and 4) are not inverse reciprocals of each other, so they cannot be perpendicular.

4b. the lines are parallel.

to find the answer of this question, solve for y in the first equation. 5x+15y=-8 becomes 15y=-5x-8, then y=-(1/3)x-(8/15). the slopes of the lines are both -1/3 with different y-intercepts, so the lines are parallel.

5. y=(1/3)x-(14/3)

use point-slope form and simplify. plugging into point slope gives us y+2=m(x-8). m is found by taking the inverse reciprocal of the equation given to us. the inverse reciprocal of -3 is 1/3, so m=1/3. the equation is y+2=(1/3)(x-8). distribute to get y+2=(1/3)x-(8/3). solve for y. y=(1/3)x-(8/3)-2. y=(1/3)x-(8/3)-(6/3). y=(1/3)x-(14/3)

Can someone help me with this please?

The **output** of the **linear function** is -n+3 when the** input** is n.

A **linear equation** is given by ,

f(x) = mx+ c ---(1)

From the table,

x value increases by 1

y value decreases by 1

The function'sSubstituting **slope m** = - 1 in (1)

f(x) = -x+ c ---(2)

Substitute (1, 2) in (2)

2 = -1 +c

c = 2 + 1

c = 3

Substitute **slope m** and **c** in (2)

f( x ) = - x + 3

When input is n output is given by,

**f(n) = - n + 3**

The **output** of the **linear function** is -n+3 when the** input** is n.

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a certain area of the eastern united states is, on average, hit by 6 hurricanes a year. find the prob- ability that in a given year that area will be hit by (a) fewer than 4 hurricanes; (b) anywhere from 6 to 8 hurricanes.

By applying **probability** method in a **Poisson** distribution, we find out that the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512 and the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.

It is given that -

On an **average**, Eastern United States is hit by 6 hurricanes in a year.

We have to find out -

(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes

(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes

This is a case of probability which relates to Poisson distribution that provides probability of any **random event** that occurs within a specific **time interval**.

Let us assume the **number** of hurricanes is represented by [tex]X[/tex]. The Poisson distribution can be represented as -

[tex]P(X) = \frac{(lambda)^{X}*e^{-lambda}}{X!}[/tex] -------(1)

Here, [tex]X\\[/tex] = 1,2,3,...

**lambda** = Average = 6 (in this question)

[tex]e[/tex] = 2.718

(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes

[tex]P(X < 4) = P(X=0) +P(X=1)+P(X=2)+P(X=3)\\= \frac{6^{0}*e^{-6}}{0!}+\frac{6^{1}*e^{-6}}{1!}+\frac{6^{2}*e^{-6}}{2!}+\frac{6^{3}*e^{-6}}{3!}\\=0.0025+0.0149+0.0446+0.0892\\=0.1512[/tex]

Thus, the probability that in a given year that area will be hit by **fewer than 4 hurricanes** is 0.1512.

(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes

[tex]P(6\leq X\leq 8)=P(X=6)+P(X=7)+P(X=8)\\=\frac{6^{6}*e^{-6} }{6!}+\frac{6^{7}*e^{-6} }{7!}+\frac{6^{8}*e^{-6} }{8!}\\=0.1606+0.1376+0.1033\\=0.4015[/tex]

Thus, the probability that in a given year that area will be hit by anywhere from **6 to 8 hurricanes** is 0.4015.

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How to search question up on this?

**Answer:**

find search bar

**Step-by-step explanation:**

see answer

What is the operation rule from number of ounces of flour to number of cupcakes?

Please use the graph above.

(A.) Multiply by 3

(B.) Multiple by 2

(C.) Add 8

(D.) 2

**Answer: (B) Multiply by 2**

**Step-by-step explanation:**

For every ounce of flour, 2 cupcakes can be made.

The answer is B, Multiply by 2

22 Which inequality is equivalent to 7x - 2y > 8?

Fy> / x+8

8

5 y> - ²/x + ²

Hy< ²x -

3

4

417

<-²/x-4/

32

**Inequality** which is equivalent to 7x - 2y > 8 x>[tex]\frac{2y}{7}[/tex] + [tex]\frac{8}{7}[/tex] and y <[tex]\frac{7x}{2} -4[/tex]

**Equations** don't always need to have a "equal to" symbol on both sides to be balanced. Sometimes it can be about a "not equal to" relationship, meaning that something is superior to or inferior to another. In mathematics, an inequality is a relationship between two numbers or other **mathematical expressions** that results in an **unequal comparison**. **Inequalities** are the name given to certain** algebraic **mathematical expressions.

7x - 2y>8

-2y > 8 -7x

=y <[tex]\frac{7x}{2} -4[/tex]

or

7x >2y + 8

=x>[tex]\frac{2y}{7}[/tex] + [tex]\frac{8}{7}[/tex]

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EFG and GFH are a linear pair, m EFG = 4n+ 15, and mGFH = 2n + 39. What are mEFG and mGFH?

mEFG=

mGFH=

**Answer:**

Find value of n first to find out what the angle measures are.

Linear angles have a sum of 180°.

Angle EFG + Angle GFH = 180

4n + 15 + 2n + 39 = 180

6n + 54 = 180

6n = 126

n = 21

Substitute n into the angles.

Angle EFG = 4(21) + 15 = 99°

Angle GFH = 2(21) + 39 = 81°

can someone tell me if im right?

Travis rents an apartment in a historic, all-brick building downtown. The value of the belongings in the apartment is about $11,000. If Travis wishes to insure his belongings while renting, how much will he have to pay for insurance per year? Use the table above to solve.

I did:

it fell under 0.39 for building and 0.43 for contents so I did

0.39 x 12=4.68 then added the 100 dollar bonus and got $104.68

The **amount of insurance** that Travis will have to pay for the year is of:

$47.3.

What is the amount of insurance that Travis has to pay?He is renting the apartment, in which the **belongings **are worth $11,000, hence the insurance will be paid over that amount.

The number of **hundredths **in $11,000 is given by:

11000/100 = 110.

He pays an insurance of $0.43 for each $100 in belongings, hence the **total insurance** is of:

0.43 x 110 = $47.3.

There is no information regarding the value of the **building**, hence we are going to consider that he does not pay insurance for the building.

This insurance was taken from the table, as the apartment is in the **city **(downtown), and all **brick**, hence the coefficient is of 0.43.

The table with the rates is given by the image at the end of the answer.

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98

7. A bag contains 100 marbles. Some are red and the rest are blue. If there are no

more than 12 times as many red marbles as blue marbles in the bag, at most how

re in the bag? At least, how many blue marbles are in the

many red marbles are

bag?

At least 84** blue marbles** and 7 **red marbles** are there in the bag.

Let the bag contain x red marbles therefore there are 12x blue marbles.

Therefore according to the question,

12x + x = 100

13x = 100

= 100/13

=7.69 approx

Which is not possible as the no,of marbles cannot be in decimals therefore there must be atleast 7 marbles of red colour and 84 blue marbles.

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is 13 over 12 a proper or an improper fraction?

Step 1

An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)

Step 2

Conclude based on step 1

Hence

[tex]in\text{ }\frac{13}{12}\text{ the numerator 13 is bigger than the denominator 12, th}erefore\text{ it is an improper fraction}[/tex]**Therefore the right answer is an improper fraction **

13 people on a softball team show up for a game. how many ways are there to choose 10 players to take the field? (you must provide an answer before moving to the next part.)

858 **combinations** are there to choose 10 players to take the field.

Pick 10 people from 13,

[tex]C^{13} _{10}[/tex] = [tex](^{13} _{2} )[/tex]

Splitting the combination,

[tex]C^{13} _{10}[/tex] = (13 × 12 × 11) ÷ 2

[tex]C^{13} _{10}[/tex] = 1716 ÷ 2

[tex]C^{13} _{10}[/tex] = 858 ways to pick the 10 to play.

There are 858 different methods to select 10 players to take the pitch.

The **permutations** of a set are the vaguely defined community of its members in arrangement or linear order, or the permutation of its components if the set is already collected. The act or procedure of adjusting the linear ordering of a sorted set is often named "permutation".

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What is the slope shown below?

**Answer:**

5/8

**Step-by-step explanation:**

Slope = rise/run

In this problem:

rise = 5

run = 8

Therefore, Slope = 5/8

a hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. if the sample consists of 41 observations and the correlation coefficient is 0.60, what is the computed value of the test statistic? round to two decimal places.

The computed value of the test **statistic** is 4.65 or 4.7

Information given in the query:

significance level = 0.05

**Sample size** is 41 observations, and the **correlation** value is 0.60.

Now,

Using the formula, the test statistic to determine whether the population correlation is zero is provided.

:

t =[tex]r\sqrt{n-2} /\sqrt{1-r^{2} }[/tex]

on substituting the respective values, we get

test statics , t = 4.65

or

t=4.7

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