Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day.

Part A
How far did he jog each day? Enter your answer in the box.

2.8
miles

Part B
How many total miles would Ted jog if he continued to jog the same number of miles each day for 6 days? Enter your answer in the box.

miles? put answer bellow for part b

Answer:2

Step-by-step explanation:

y = -3x.

Substitute this value in the second equation for y.

=> 2x-3(-3x)=22

=> 2x+9x=22

11x =22

Therefore, x=2.

Hope this helps :)

The probability that if a person is chosen at random, he does NOT believes Marilyn Monroe had an affair with John is 0.60 or 60%

We can find the probability that a person does not believe Marilyn Monroe had an affair with John F Kennedy by dividing the number of people who responded "no" by the total number of people who responded to the survey:

Probability of "no" = Number of "no" responses / Total number of responses

Total number of responses = Number of "yes" responses + Number of "no" responses

Total number of responses = 110 + 163 = 273

Probability of "no" = 163 / 273

Simplifying the fraction, we get:

Probability of "no" = 0.5967 or approximately 0.60

So, the probability that if a person is chosen at random, he does not believe Marilyn Monroe had an affair with John F Kennedy is approximately 0.60, or 60%.

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Yes, I can help them determine how they did within their respective groups. A higher Z-score indicates a faster time compared to the average for their group, while a lower Z-score indicates a slower time.

To do this, we will calculate the standard score or Z-score for each of them, which measures how many standard deviations above or below the mean their finishing time was. Calculation is as follows:

For Leo:

Z = (4948 - 4313) / 583 = 1.01

For Mary:

Z = (5513 - 5261) / 807 = 0.33

So, Leo finished 1.01 standard deviations above the mean for the Men, Ages 30 - 34 group, while Mary finished 0.33 standard deviations below the mean for the Women, Ages 25 - 29 group.

As for your second question, if the distributions of finishing times were not nearly normal, then the values of the standard score would change. This is because the standard score is calculated using the mean and standard deviation, which are important parameters of a normal distribution, these parameters may not accurately represent the data, and therefore the standard score would not be an accurate measure of relative performance.

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The side length of the small equilateral triangles is 3 cm.

Let's call the side length of the small equilateral triangles "x". Since there are three small triangles, the total perimeter of the small triangles is 3x.

The side length of the large equilateral triangle is 6 cm, so each side of the small triangles is a portion of 6 cm. Specifically, each side of the small triangles is (1/2) of a side of the large triangle.

Therefore, the perimeter of each small triangle is 3x, which is made up of three sides of length (1/2)6 cm or 3 cm. So we have:

3x = 3(3 cm) = 9 cm

Solving for x, we get:

x = 3 cm

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Answer:

Step-by-step explanation:

2

The correct standard form of the equation of the parabola is,

⇒ y = 1/4(x - 2)² - 5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We know that;

The equation of the parabola with vertex (h, k) is,

⇒ y = a(x - h )² + k

Thus, The equation of the parabola is,

⇒ y = a(x - 2)² - 5

To find a, use the fact that the parabola passes through the point (4,−4):

⇒ - 4 = 4a - 5

Solving this equation, we get;

⇒ a = 1/4.

Thus, The equation of the parabola is,

⇒ y = 1/4 (x - 2)² - 5

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59+(40+80)=59+120=179 is implify the expression by Associative property .

What is the associative property?

A mathematical principle known as the associative property states that the product of a multiplication problem is unaffected by the way the factors are organized.

                              The associative quality of addition The amount remains unchanged when the order of the addends is changed. By way of illustration, (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4) 2. plus, left parenthesis, 3. plus, 4. right parenthesis = 2. plus. left parenthesis, 3. plus. right parenthesis.

Associative property

(59 + 40) + 80 = 59 + (40 + 80)

(99) + 80 = 59 + (120)

179 = 179

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The total number of bottles that can be filled are 41.

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

the volume of a cylinder is given by the formula as

Volume of cylinder = πr²h,

where r is the radius of the cylinder and h is its height.

We are given the radius of the water cooler is 7 inches

also the height of water cooler is 20 inches.

We calculate its volume by substituting the values in the volume formula

Volume of the cooler = π(7²)(20)

Volume of the cooler = 2,940π cubic inches

Now also we given the radius and height of the bottles

We similarly calculate the volume of each bottle by substituting the values in the formula

Volume of the bottle = π(1.5²)(10)

Volume of the bottle = 70.685π cubic inches

Now finally to find the total number of bottles we divide the volume of cooler by the volume of bottles we get

Number of bottles = Volume of the cooler / Volume of the bottle

                                =2,940π) / (70.685π)

                                =41

Therefore, the team manager can completely fill about 41 water bottles.

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The answer would be figure B. (pentagon)

Answer:

B. 8*1/3

Step-by-step explanation:

The values of x and y are:

x = 3.16

y = 4.47

Trigonometry is a topic which deals with the relation between angles and sides of a right angled triangle. It can be used to determine the value of the  unknown in a given question. The basic functions in trigonometry are: sine, cosine and tangent.

In the given diagram, we have;

i. To determine the value of x,

Tan θ = opposite/ adjacent

Tan 45 = x/ (10)^1/2

x = Tan 45*(10)^1/2

  = 3.16

x = 3.16

ii. To determine the value of y, we have;

Cos θ = adjacent/ hypotenuse

Cos 45 = (10)^1/2 / y

y = (10)^1/2 / Cos 45

 = 4.47

y = 4.47

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1.
a) Length = 6 inches
   Width = 2 inches
   Height = 7 inches
   Base Area = 6 x 2 = 12 inches

b) V = l x w x h = 6 x 2 x 7
   

c)  V = B x h = 12 x 7

d) V = 84 inches cubed

Answer: explained below (answers you need to fill in are in bold)

Step-by-step explanation:

1.

a. the dimensions of the box are

l = 6

w = 2

h = 7

B = 12 ... B means base. When finding base, you simply just multiply L x W. In this case, you do 6 x 2 = 12 which will be your base

b.

V = l x w x h = 6 x 2 x 7

c.

V = B x h = 12 x 7

d.

V = 84 ... ( 12 x 7 = 84)

Answer:

14 oz of flour.     2 oz yeast.

Step-by-step explanation:

If you're making 40 servings of bread and using 0.35 oz of yeast, you need:

0.35 oz yeast / 1 yeast : 200 flour = 0.35 oz yeast / 1 : 200 flour = 0.00175 oz yeast/flour

So, you need 0.00175 oz yeast/flour * 40 servings * 200 flour/serving = 14 oz of flour.

If you're making 90 servings of bread and using 360 oz of flour, you need:

1 yeast : 180 flour = 360 oz flour / 90 servings / 180 flour/serving = 2 oz yeast.

Answer: 12 tablespoons

Step-by-step explanation: 3/4 of a cup is equal to 6 fluid ounces or 12 tablespoons.

The congruency theorem used in each of the triangles are;

14) HL Congruency Theorem.

15) Neither

16) Neither

17) SAS Congruency theorem.

18) Neither

19) AAS congruency theorem.

20) Neither

21) SSS congruency postulate.

14) We are given the hypotenuse side and leg as being congruent and as such the congruency proof here is; HL Congruency Theorem.

15) We are not given any congruent side nor angle and as such we can't determine if they are congruent.

16) We two congruent sides and non-included angle and as such they are not congruent.

17) We are given two congruent sides and the included congruent angle and as such the triangles are congruent by SAS Congruency theorem.

18) We two congruent sides and non-included angle and as such they are not congruent.

19) We are given two congruent angles and the non included side and as such they are congruent by AAS congruency theorem.

20) We two congruent sides and non-included angle and as such they are not congruent.

21) The three sides are shown to be congruent and therefore it is congruent by SSS congruency postulate.

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Answer:
We know it's 1 P.M., and he's traveled 114 miles by now, he needs to go 86 more miles before he reaches his destination. He would need to travel 43 mph to reach his destination by 3.

Step-by-step explanation:

At 1, he has two more hours, and he has 86 more miles to go, so four times two is 8, and 3 times two is 6, so 46. There's probably a proper way to do this but yup 43 mph I hope I'm right and I helped you out :')

Answer:

Oliver would need to travel 43 mph for the remainder of his journey.

Step-by-step explanation:

First, we need to find out how many miles Oliver traveled for those 3 hours.

3 speed × 38 mph = 114 mph in total.

Now we need to know how many remaining miles Oliver needs to travel.

200-mile trip - 114 miles driven = 86 miles left.

Next, We need to know what time Oliver is currently at to know how many hours he needs to travel until it's 3 pm.

10 am + 3 hours = 1 pm

So, we have 2 hours left until it's 3 pm. Oliver needs to go 86 miles in 2 hours to arrive at his destination. So then divide the 86 miles by those 2 hours.

86 miles left ÷ 2 hours = 43 mph

Each points in the graph is satisfying the equation c = 25j, that means the equation is linear.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given that, Casey claims the linear equation for the relationship shown by the graph is c=25j.

We have points on it,

(1, 25), (3, 75), (5, 125) and (7, 175)

Put each point in the equation,

c = 25j

Put j = 1, 3, 5, and 7

We get the corresponding value, 25, 75, 125, 175

That means, the points are satisfying the equation,

Hence, Each points in the graph is satisfying the equation c = 25j, that means the equation is linear.

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The given graph is :-

Answer: it contains 21 yellow marbles

Step-by-step explanation:

x = 28 x 3/4
canceling method
x = 7 x 3
x = 21

The 10,000 seconds can be stated as 166.6777 minutes and 2.7778 hour.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

We have 10,000 sec

As, 1 minute= 60 seconds

So, In minutes

= 10000/60

= 1000/6

= 166.6667 minutes

Now, 1 hour= 60 minutes

So, In hour

= 10000/ 60 x 60

= 10000/3600

= 2.7778 hour

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a) The perimeter of the cross is: P = 4a = 4(c - b) = 4c - 4b

b) The area of the cross is:[tex]A= 2cb - 2b^2 \ cm^2[/tex]

c) b in terms of A and C is: [tex]b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}[/tex]

What is area and perimeter?

The perimeter of a shape is the distance around its outside. The space inside a shape is measured by area.

a) The perimeter, P, of the cross is equal to the sum of the lengths of its four arms.

The length of one arm of the cross can be found by subtracting the length of one rectangle from the length of the other rectangle. Since each rectangle has dimensions c cm × b cm, the length of one arm is:

a = c - b

Therefore, the perimeter of the cross is:

P = 4a = 4(c - b) = 4c - 4b

b) The area, A, of the cross is equal to the area of the two rectangles minus the area of the four triangles formed by the arms of the cross.

The area of each rectangle is:

[tex]Area_{rect} = c * b[/tex]

The area of each triangle is:

[tex]Area_{tri} = (a * b) / 2 \\\\= \frac{[(c - b) * b]}{2} \\\\= \frac{ (c * b - b^{2} )}{2}[/tex]

Since there are four triangles, the total area of the triangles is:

[tex]4A_{tri} = 2cb - 2b^2\ cm^2[/tex]

Therefore, the area of the cross is:

[tex]A = 2A_{rect} - 4A_{rect} \\\\ = 2cb - 2b^2[/tex]

c) c) To find b in terms of A and C, we can use the formula for the area of the cross that we found in part b:

[tex]A = 2cb - 2b^2[/tex]

We can rearrange this equation to put it in the form of a quadratic equation:

[tex]2b^2 - 2cb + A = 0[/tex]

This is a quadratic equation in standard form, with a = 2, b = -2c, and c = A. We can use the quadratic formula to solve for b:

b = (-b ± sqrt(b^2 - 4ac)) / 2a

b = (2c ± sqrt((2c)^2 - 4(2)(A))) / (2 × 2)

[tex]b=\frac{-b ± \sqrt{(b^2 - 4ac)} }{2a} \\\\b= \frac{2c ± \sqrt{(2c^2 - 4(2)c)}}{4} \\\\b= \frac{2c ± \sqrt{(4c^2 - 16A)}}{4} \\\\b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}[/tex]

Therefore, b in terms of A and C is: [tex]b= \frac{c ± \sqrt{(c^2 - 4A)}}{2}[/tex]

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The basic portrait packages costs $70 and deluxe portrait packages costs $97.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the basic portrait packages costs $x.

and, the deluxe portrait packages costs $y.

So, the system of Equation

50x + 52y = 8544..............(1)

93x + 73y = 13591.............(2)

Solving above two equation we get

x=70 and y= 97.

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Answer:

10 miles; it represents the original distance of the bird from its nes

Step-by-step explanation:

Answer:

8n^3 + 3n^2 + 8

Step-by-step explanation:

The equation to find the height of the water after x minutes is height = = 3 x + 50.

The height of the water after 10 minutes would be 80 centimeters.

To find the height of the water, the formula that can be used is :
= rate of change x number of minutes + starting height

Rate of change :
= Change in height / Change in minutes

= ( 53 - 50 ) / ( 1 - 0 )

= 3 / 1

= 3

The equation is therefore:

= 3 x + 50 ( this is the height at 0 minutes)

At 10 minutes, the height would be:

= 3 ( 10 ) + 50

= 30 + 50

= 80 minutes

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The simplified form of subtraction is 3/2.

The simplified form of x+7/2 subtracted by x+4/2 is 3/2.

1. Start with the original expression: x+7/2 - (x+4/2)

2. Distribute the negative sign: x+7/2 - x - 4/2

3. Combine like terms: 7/2 - 4/2

4. Simplify by subtracting: 3/2

So the simplified form is 3/2.

Subtraction is an arithmetic operation tat represents the operation of removing an object from a collection. Subtraction is indicated by a minus sign, −. For example, in the image next to it, 5 − 2 peaches—meaning 5 peaches with 2 picked for a total of 3 peaches.

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Answer:

Step-by-step explanation:330.693 lbs

The required cost to lay carpet for her entire bedroom is 45,000.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

To calculate the cost of carpeting Linda's bedroom, we need to find the area of the rectangle:

Area = length x width

Area = 75m x 50m

Area = 3750 square meters

Then, we can multiply the area by the cost per square meter of carpeting:

Cost = Area x Cost per square meter

Cost = 3750 square meters x AED 12/square meter

Cost = AED 45,000

Therefore, it will cost AED 45,000 to lay carpet for Linda's entire bedroom.

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The mean income, of people who worked full-time in 2001 and had at least a bachelor's degree, was $53,054. while the median income was $72,674.

The mean is the average value.  The mean is computed as the quotient of the total value divided by the number of values.

The median is the middle value of the data set in an ordered list.

Both the mean and the median are described as measures of central tendency.

Thus, we can identify the mean value as $53,054 since it was the first to be mentioned, followed by the median income as $72,674.

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Which of these numbers is the mean and which is the median? Explain your reasoning.

0.75 times the amount of miles+the base fee

Answer:

Y=0.75X+3