The probability that a male’s foot is between 10 and 12. 5 inches is ___%

P(10

Answers

Answer 1

The probability of a foot of male being between 10 and 12. 5 inches is 59%.

Define the term normal distribution?The normal distribution approximates any real-valued random distribution which clusters around one single mean value. A cumulative frequency is a procedure that determines if the total amount of information in such a data set is less than and equal to a specific value.

The z score of the distribution is found as-

z = (x - μ)/σ

In which,

μ = mean = (11)

σ = standard distribution (1.5)

The likelihood that a male's foot measures between 10 and 12. 5 inches.

P(10 < x < 12.5)

For x = 10

z = (10 - 11) / 1.5

z = -0.67

check the p-value fro z score table.

p (z = -0.67) = 0.2514

For x = 12.5

z = (1.5 - 11)/1.5

z = 1

p (z = 1) = 0.8413

P(10 < x < 12.5)  = 0.8413 - 0.2514

P(10 < x < 12.5)  = 0.5899

P(10 < x < 12.5)  = 58.99%

P(10 < x < 12.5)  = 59%.

Thus, the likelihood of a male's foot being between 10 and 12. 5 inches is 59%.

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The complete question is attached in figure.

The Probability That A Males Foot Is Between 10 And 12. 5 Inches Is ___%P(10

Related Questions


. Which is the better investment?
a. $1,200 at 9% simple interest for 2 years
b. $1,200 at 8% compound interest for 2 years

Answers

Answer:

200 at 9% simple interest for 2 years

Answer:

a

Step-by-step explanation:

Hope it helps and have a nice day!!!! :)

which of the following beverages contains the most alcohol? 12-ounce can of beer 1.5 ounces of 80-proof liquor 5-ounce glass of wine all of these contain the same amount of alcohol

Answers

A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

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15x+12=13x-15

…….?????

Answers

Answer:

x_6x=21_15_3x/. x+6x=21+15+3x

Step-by-step explanation:


What is the equation of the line that passes through the points (-2, 1) and (6, 3)?

Answers

Answer:

y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )

m = [tex]\frac{3-1}{6-(-2)}[/tex] = [tex]\frac{2}{6+2}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex] , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 3 ) , then

3 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 3 - [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{2}[/tex]

y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ← equation of line

Antoinette spends 3 hours reading each day.
What is the total amount of time (in hours) that
Antoinette spent reading after 6 days?

Answers

Answer:

The answer is 18 hours

Step-by-step explanation:

3 hours x 6 days

3x6 = 18

Leah keeps ducks and buffalo in their farm and there are 35 animals with a total if 110 legs. How many ducks and buffalo are there?​

Answers

GIVEN :

35 animals110 legs

TO FIND :

the number of ducks and buffalo are there.

OPTIONS :

(A) 20 ducks, 15 buffalo

(B) 15 ducks, 20 buffalo

CASE (i) - 20 ducks, 15 buffalo

= 20·2 + 15·4

= 40 + 60

= 100

CASE (ii) - 15 ducks, 20 buffalo

= 15·2 + 20·4

= 30 + 80

= 110

FINAL ANSWER :

Therefore, the number of ducks are 15 and 20 buffalo.

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Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the
floor when it is 9 feet away from her.
a. Find the value of a.
b. If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?
a. The value of a is
(Simplify your answer.)

Answers

According to the vertex form of the parabola,

a) The value of a is -1/7.

b) And If the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

Vertex form of the parabola

The vertex form of the parabola can be given as,

y = a(x - h)² + k

Where

h,k are the coordinates of the vertex.

Given,

Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the floor when it is 9 feet away from her.

Here we need to find the following:

a. The value of a

b.  If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?

We know that, Allie takes a shot of 17 ft away and at the distance of 2 feet the ball achieve the height of 10 feet from the ground.

And the greatest height achieved by the ball is 17 ft above the floor.

Then the value of a is calculated by using the point that is obtained thorough the given details is,

=> (2, 10)

And the vertex of the equation are (9, 17)

When we apply these on the vertex form, then we get,

10 = a(2 -  9)² + 17

-7 = a(-7)²

49a = -7

a = -1/7

Therefore, the value of a is 1/7.

Now we have to find if the hoop is 10 ft high, The distance close to Allie have to be in order to make the basket-

Here the value of y is 10 and x is not known.

Now, we have to put these values on the equation then we get,

=> 10 = -1/7 (x - 9)² + 17

=> -7 = -1/7 (x -9)²

=> 49 = (x - 9)²

=>√49 = x - 9

=> x = 16

Therefore, if the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

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a computer store compiled data about the accessories that 500 purchasers of new tablets bought at the same time they bought the tablet. here are the results: 411 bought cases 82 bought an extended warranty 100 bought a dock 57 bought both a dock and a warranty 65 both a case and a warranty 77 bought a case and a dock 48 bought all three accessories 58 bought none of the accessories find the probability that a randomly selected customer bought: a. exactly one of the accessories. b. exactly two of the accessories. c. at least one of the accessories. d. at least two of the accessories. e. at most one of the accessories. f. at most two of the accessories. g. a case or a warranty, but not both, and did not buy a dock. h. a case but neither of the other two accessories. i. a warranty and a dock but not a case.

Answers

The probability that exactly one of the accessories, be 0.678

The probability that exactly two of the accessories, be 0.11

The probability that at least one of the accessories, be 0.884

The probability that at least two accessories, be 0.206

The probability that at most one of the accessories, be 0.794

The probability that at most two of the accessories, be 0.904

The probability that a case or a warranty, but not both be, 0.726

The probability that a case but neither of the other two accessories be, 0.634

The probability that a warranty and a dock but not a case be, 0.018

Given, a computer store compiled data that 500 purchasers of new tablets bought at the same time they bought the tablet.

Let A be the set of purchasers we bought cases,

B be the set of purchasers we bought extended warranty,

C be the set of purchasers we bought dock,

Now, A = 411 , B = 82 , C = 100

also, A∩B = 65 , B∩C = 57 , A∩C = 77 and A∩B∩C = 48 , A'∩B'∩C' = 58

(a) the probability that exactly one of the accessories, be

P(A)-P(A∩B)-P(A∩C)+P(A∩B∩C) + P(B)-P(A∩B)-P(B∩C)+P(A∩B∩C) + P(C)-P(C∩B)-P(A∩C)+P(A∩B∩C) = 411-65-77+48+82-57-65+48+100-57-77+48

= 339/500

= 0.678

(b) the probability that exactly two of the accessories, be

P(A∩B)+P(B∩C)+P(A∩C)-3P(A∩B∩C) = 65+57+77-48-48-48

= 55/500

= 0.11

(c) the probability that at least one of the accessories, be

who bought 1 or 2 or all 3 accessories be,

= 0.678 + 0.11 + 0.096

= 0.884

(d) the probability that at least two accessories, be

who bought 2 or all 3 accessories be,

= 0.11 + 0.096

= 0.206

(e)  the probability that at most one of the accessories, be

who bought nothing or one accessories be,

= 0.116 + 0.678

= 0.794

(f) the probability that at most two of the accessories, be

who bought nothing or 1 or 2 accessories be,

= 0.116 + 0.678 + 0.11

= 0.904

(g) the probability that a case or a warranty, but not both

= 0.822 + 0.164 - 0.26

= 0.726

(h) the probability that a case but neither of the other two accessories

=  0.634

(i) the probability that a warranty and a dock but not a case

= 0.018

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1. [-/1 Points]
DETAILS
Find the x- and y-intercepts.
7x - 6y = 1
x-intercept (x, y) = (
y-intercept (x, y) = (
(x, y) = (

Answers

multiply x times y divide by 6 on both sides and you got your answer

1) suppose the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane. how many possible states are there? how many paths are there to the goal? provide assumptions for your answer

Answers

There will be infinite number of states and paths when the state space is (x,y) as the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane.

What is state space?

The collection of every possible setup for a system is its state space. It is a common abstraction in the study of artificial intelligence and game theory because it can be used to reason about the behavior of a specific system. A state space is typically introduced into a system description without being given any thought to its precise physical meaning. However, it is well known that choosing an appropriate state space representation makes it simpler for us to comprehend or control a system's property.

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Cant get the right answer

Answers

The expression equates to R = 926.19

What is a equation?

An equation is a relation equating two mathematical expressions. For example -

2x + 4 = 5x + 7

We have -

R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]

We have the following equation -

R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]

R = 21000([0.013/(1.013)²⁰ - 1)

R = 21000([0.013/(1.29475890663 - 1)]

R = 21000(0.0441038411650727)

R = 926.1806644665257

R = 926.19

Therefore, the expression equates to R = 926.19

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which number line shows -4, -1, 1, and 2 correctly plotted.

Answers

A number line which shows -4, -1, 1, and 2 correctly plotted on a graph is shown in the image attached below.

What is a number line?

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0). Therefore, the numerical values -4 and -1 would be plotted on the left hand side of zero (0) while the numerical values 1 and 2 would be plotted on the right hand side of zero (0) using a number line.

In this scenario, a number line would be used for the comparison of two or more numbers such as -4, -1, 1, and 2, and this is plotted in the graph shown in the image attached below.

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A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. C(x) represents the total cost and x represents the number of boxes, which can be modeled by the function below.

A piecewise function c of x in two pieces. The function is defined by part 1, which is 3 point 75 times x for x greater than 6, and part 2, which is 3 point 25 times x plus 5 for x is greater than or equal to 6.

Predict the cost of an order with 6 boxes.

$14.50
$22.50
$24.50
$27.50

Answers

Answer:

$24.50

Step-by-step explanation:

In order to predict the cost of an order with 6 boxes, x has to be equal to 6.

So we have to use the function 3.25x + 5 for [tex]x\geq 6[/tex].

Then, plug in 6 for x and solve.

3.25(6) + 5 = 19.50 + 5 = 24.50

a homeowner wants to fence in a rectangular space in her yard along one side of her house for her dogs. the total area she can fence in is 650 square feet.
write an expression to find the area of the fenced region.

Answers

The required expression for the fenced region is lw = 650.

Given that,
A homeowner wants to fence in a rectangular space in her yard along one side of her house for her dogs. the total area she can fence in is 650 square feet.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Let the length of the area be l and the width of the area be w,
The total area she can fence in is 650 square feet.
lw = 650

Thus, the required expression for the fenced region is lw = 650.

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the product of three consecutive positive integers is times their sum. what is the sum of their squares?

Answers

77 is the sum of their integers  squares .

What in math is an integer?

A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.Three types of integers exist: 0 (zero), positive integers (natural numbers), and negative integers.

Let the numbers be ( n - 1 ), n , ( n + 1 )

according to question

  ( n - 1 ) (n) ( n + 1 ) = 8( n + n - 1 + n + 1 )

  n( n² - 1 ) = 8(3n)

   ( n² - 1 ) = 24

    n²= 25

    n = 5

since n is positive integer n = 5

thus required numbers are 4,5,6

4² + 5² + 6² = 77

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Determine the coordinates of the preimage given the image below and the composition of a rotation 180 about the origin and a translation 3
units up.

Answers

The coordinates of the preimage given in the image below and the composition of a rotation 180 about the origin and a translation 3 units up are: (2, -3), (3, 1), and (-5, 0).

What is a rotation?

In Geometry, the rotation of a geometric figure 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

From the graph of the image of triangle A'B'C', we have the following coordinates and they would be reversed to obtain the coordinate of triangle ABC before a translation:

(-x, -y)                              →               (x, y)

Points at A' = (-2, 5)        →              Points at A = (2, -5)  

Points at B' = (-3, 1)          →             Points at B = (3, -1)

Points at C' = (5, 2)           →             Points at C = (-5, -2)

Next, we would apply a translation of 3 units up:

Points at A = (2, -5)      →     (2, -5 + 2) = (2, -3)

Points at B = (3, -1)       →     (3, -1 + 2) = (3, 1)

Points at C = (-5, -2)     →     (-5, -2 + 2) = (-5, 0)

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400 kilometers in 8 hours at a constant speed

Answers

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an equation that represents this situation is d=50t

Ahlee i riding her bike to the beach. If the beach i 17 mile from her home, and he ha already travelled 3/5 of the way, how much farther doe he have to cycle?

Answers

The distance yet to be covered by Ashlee is 6.8 miles.

Ashlee is riding her bike to the beach. The beach is 17 miles from her home. She has already travelled 3/5 of the total distance. We need to find out how much farther she has to cycle.

Let the distance left to be covered by Ashlee be represented by the variable "D". The distance already covered by Ashlee on her cycle is calculated below.

d = (3/5)×17

d = 10.2

So she has already covered a distance of 10.2 miles. The distance yet to be covered is the difference between the total distance and the distance covered.

D = 17 - 10.2

D = 6.8

Hence, the distance yet to be covered by Ashlee is 6.8 miles.

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Write the first four terms of two different arithmetic sequences with a common difference of −3. The first sequence starts with −12 and the second sequence starts with 12.

Answers

Answer:

Step-by-step explanation:

The first arithmetic sequence would be -12, -15, -18, -21. The second sequence would be 12, 9, 6, 3.

X
y
1
9
2
7
3₂
3
6
4
7
1 -2
a. Graph the points above as a scatter plot.
b. Calculate the correlation coefficient.
8
-5
10
-8
10

X is top y is bottom

Answers

The correlation coefficient of points is a negative correlation.

The given coordinates are (1, 9), (2, 7), (3, 6), (4, 1), (7, -2),(8, -5) and (10, -8).

What is scatter plot?

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

• A scatter plot with increasing values of both variables can be said to have a positive correlation.

• A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.

The given coordinate points are plotted on graph.

From the graph (scatter plot) we can see that, the points have a negative correlation.

Therefore, the correlation coefficient of points is a negative correlation.

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The first six numbers of a sequence are shown below. Which function can be used
to find the nth term?
-7, -1, 5, 11, 17, ...

Please Help Asap! Tysm if u do!

Answers

x+6 is the answer because each one adds 6

Answer:

41

Step-by-step explanation:

the pattern is +6 so the next few would be 23, 29, 35, 41, 47...

the ninth term would be 41

Find the value of c so that the polynomial p(x) s divisible by (x+2).[tex]p(x)=4x^3+cx^2+x+2\pi[/tex]

Answers

If a polynomial is divisible by another then that will be a factor of the polynomial. The value of c such that the given polynomial p(x) = 4x³ + cx² + x + 2 is divisible by (x + 2) is 8.

What is an algebraic factor?

An algebraic factor is the multiplication of two algebraic terms.

That term could be in the form of summation multiplication or in subtraction.

The root of the quadratic equation formed by the algebraic factor is always real.

As per the given polynomial,

p(x) = 4x³ + cx² + x + 2

Divide  4x³ + cx² + x + 2 by (x+2)

First quotient = 4x²

Then, (4x³ + cx² )- (4x³ + 8x²)

Now in order to become it zero c must be the same as 8.

c = 8

Then, the second quotient = 1

(x + 2) - (x + 2) = 0

So, 4x³ + cx² + x + 2 = (x + 2)(4x² + 1)

Hence "The value of c such that the given polynomial p(x) = 4x³ + cx² + x + 2 is divisible by (x + 2) is 8".

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The graph below illustrates the decay of a radioactive substance over t days.

Use the graph to estimate the average decay rate from t = 5 to t = 15 Note: Your answer will be negative.

Answers

The estimate of the average decay rate of change is -0.6

How to estimate the average decay rate of the function?

From the question, we have the graph and the interval is given as

t = 5 to 15

This can also be represented and expressed as

(a, b) = [5, 15]

From the attached graph, we have

f(5) = 12

f(15) = 6

The estimate of the average decay rate of change is calculated as

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [f(15) - f(5)]/[15 - 5]

So, we have

Rate = [6 - 12]/[15 - 5]

Evaluate

Rate = -0.6

Hence, the average decay rate of change is -0.6

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Use synthetic division to divide x^3+8x^2+11x-20 by (x+4). Explain steps

Answers

Answer:

X²+4X-5 without a reminder

I'll give 45 points and brainiest The coordinates of the vertices of trapezoid EFGH are E(−8, 8), F(−4, 12), G(−4, 0), and H(−8, 4). The coordinates of the vertices of trapezoid E′F′G′H′ are E′(−8, 6), F′(−5, 9), G′(−5, 0), and H′(−8, 3).

Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E′F′G′H′?

Responses

Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions.
trapezoid E F G H, is congruent to , trapezoid E prime F prime G prime H prime, because you can map , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime, by translating it down 2 units and then reflecting it over the , y, -axis, which is a sequence of rigid motions.

Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.
trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime, .

Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions.

trapezoid E F G H is congruent to trapezoid E prime F prime G prime H prime because you can map trapezoid E F G H to trapezoid E prime F prime G prime H prime by reflecting it across the x -axis and then translating it up 14 units, which is a sequence of rigid motions.,

Trapezoid EFGH is congruent to trapezoid E′F′G′H′ because you can map trapezoid EFGH to trapezoid E′F′G′H′ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions.

Answers

For the given coordinates of the vertices of trapezoid EFGH and E'F'G'H' the following statement is true and explain the relationship correctly :

"Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.

trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime,"

As given in the question,

Trapezoid EFGH with coordinates of  vertices:

E(−8, 8), F(−4, 12), G(−4, 0), and H(−8, 4).

Trapezoid E'F'G'H' with coordinates of  vertices:

E′(−8, 6), F′(−5, 9), G′(−5, 0), and H′(−8, 3).

First option is not correct as there is no translation.

Third, Fourth, and Fifth options are not correct as both the trapezoids are not congruent.

Only option second describe it correctly which is:

Both the trapezoid are not congruent as there is no sequence of rigid motion that maps EFGH to E'F'G'H'.

Therefore, for the given coordinates of the vertices of trapezoid EFGH and E'F'G'H' the following statement is true and explain the relationship correctly :

"Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.

trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime,"

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a pair of sunglasses is 30% off . what is the new selling price

Answers

Answer:

x=0.3y

Step-by-step explanation:

( x )is new sales price

( y ) is the original price


A cockroach can travel at a speed of 80 centimeters per second. A centipede can travel at 30 meters per
minute. Which can travel faster?

Answers

Answer:

The cockroach is faster

Step-by-step explanation:

amy gets 7 our of 8 math problems correct, mark gets 7 out of 11 problems correct ,and carol gets 7 out of 9 math problems corect. order these fractions from least to Greatest​

Answers

Answer:

[tex]\frac{7}{11}[/tex], [tex]\frac{7}{9}[/tex], [tex]\frac{7}{8}[/tex]

Hope this helps!

Step-by-step explanation:

One way to find this out is by just plain dividing the numbers, 7 ÷ 11 is 0.636363..., 7 ÷ 9 is 0.7777777..., and 7 ÷ 8 is 0.875. 7/11 is the smallest of all of them, then 7/9, and then 7/8.

Segment RS is reflected over the line y = x and then translated by (x+3, y + 4). The resulting segment
RS" has coordinates R" (-1,4) and S" (-3,-2). What are the coordinates of the segment RS?

Answers

The original coordinates are R= (-6,-6) and S = (-4,0)

What is translation?

Translation in mathematics is a property in which we shift each coordinate on a line by a constant value.

We are given that we originally had a segment RS which is reflected over the line y = x and then translated by (x+3, y+4) after this the segment we get the coordinates are R'' (-1,4) and S( -3,-2)

We are asked to find the coordinates of R and S

To find the coordinates we first reverse the process we subtract 3 from both x coordinate and 4 from both y coordinate

Hence we get,

R' = (-1,4)-(3,4)

R' = (-4,0)

And

S' = (-3,-2)-(3,4)

S' = (-6,-6)

Now to find the original coordinates we reverse the coordinates

Hence we get,

R= (-6,-6) and S = (-4,0)

Therefore the coordinates are R= (-6,-6) and S = (-4,0)

To learn more about translation please refer the following link

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after euclid high school's last basketball game, it was determined that 1/4 of the team's points were scored by alexa and 2/7 were scored by brittany. chelsea scored 15 points. none of the other 7 team members scored more than 2 points. what was the total number of points scored by the other 7 team members?

Answers

The total number of points scored by the other 7 team members in Euclid high school's last basketball game is 11.

What is defined as the term two variable equation?If an equation is written in the form ax + by + c=0, where a, b, and c are real integers as well as the coefficients of x and y, i.e., a and b, respectively, really aren't equal to zero, then it is said to be a linear function in two variables.

For the given question.

Let 't' be the total points scored.

Alexa = 1/4 t.

Brittany = 2/7 t

Chelsea = 15

Let 'x' be the points scored by remaining 7 team.

Thus, the two variable equation becomes.

1/4 t +  2/7 t + 15 + x = t   .....eq 1

Where, x ≤ 14 ( for 7 terams)

Simplifying eq 1.

15 + x = 13/ 28 t

28x + 28 = 13 t

Now, t must be divisible by 28.

Let t = 28 u, u ≥ 0 and divisible by 28.

Thus,

x + 15 = 13u.

Then, u = 2( t = 56) has been the only candidates for which x = 11.

Thus, the total number of points scored by the other 7 team members is 11.

To know more about the two variable equation, here

https://brainly.com/question/13951177

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