marquise ran 3whole 1/4 mile.For 2/3 of his run he ran through a park. How many miles did he run through a park

$7.20 was taken off the price.

The price would now be $4.80

Answer: $7.2

Step-by-step explanation:

First, you must find 60% of $12 which is $7.2. Then, you must subtract $12 - $7.2 which is $4.8. $12 - $4.8 is 7.2.

Answer:

A graphical display of data using dots.

Step-by-step explanation:

The total number of matches played in the tournament will be the sum of all of these matches:
475 + 220 + 92 + 40 + 18 + 8 + 4 + 2 + 1 + 1 = 861

To determine the total number of matches to be played in the tournament, we need to first determine the number of rounds that will be played. Since each round eliminates half of the remaining players, we need to find the power of 2 that is closest to, but less than, the total number of players (951).

2^9 = 512 (too small)
2^10 = 1024 (too big)
2^8 = 256 (too small)
2^7 = 128 (too small)
2^6 = 64 (too small)
2^5 = 32 (too small)

Therefore, we can conclude that there will be 2^9 = 512 players in the first round, leaving 439 players. One player will be sitting out, since the number of players is odd. In the second round, there will be 2^8 = 256 matches played, with the 439 remaining players and the one player who sat out in the first round. This will leave 184 players for the third round, with one player sitting out again.

Continuing this pattern, we can determine that there will be 10 rounds in total, with the following number of matches played in each round:

Round 1: 475
Round 2: 220
Round 3: 92
Round 4: 40
Round 5: 18
Round 6: 8
Round 7: 4
Round 8: 2
Round 9: 1
Round 10: 1

The total number of matches played in the tournament will be the sum of all of these matches:

475 + 220 + 92 + 40 + 18 + 8 + 4 + 2 + 1 + 1 = 861

Therefore, there will be a total of 861 matches played in all the rounds of the tournament.

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Answer: 1 (-4)

Step-by-step explanation: f(x) is a function of x giving you a y value. 1/2 f(x) means you're halving every y value that plugging in x gives you.

Answer:

5-x=11

Step-by-step explanation:

Answer:

x - 5 = 11

Step-by-step explanation:

It's the only one where five is being subtracted from a number and the result is 11.

Answer:  b

Step-by-step explanation:

I think

The correct alternative hypothesis is H1: pL> pH.

We test whether the proportion of children in the low-income group who drew the nickel too large is greater than the proportion of children in the high-income group who drew the nickel too large.

Proportion of children in the low-income group (denoted pL) who also drew a nickel. large is greater than the proportion of the high-income group (indicated by pH) that attracted nickel too large, we test at the 0.1 significance level.

a) First, we need to identify the correct alternative hypothesis. The alternative hypothesis in this case should be:

H1: PL > pH

This hypothesis states that the proportion of children in the low-income group who drew oversized nickels would be greater than the proportion of children in the high-incomegroup who drew oversized nickels.

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Answer:

63

Step-by-step explanation:

Follow the order of BIMDAS

15 - 3[2 + (-18)]

15 - 3[2 - 18]

15 - 3[-16]

15 - (3*-16)

15 - (-48)

15 + 48

= 63

The value of t is 20 percent greater than the value of r

Here, the value of r is 4/5 times the value of t.

This means, the value of r would be,

r = (4/5)t

This means, the value of t is greater than the value of r by (t - r)

We find the value of (t - r)

t - r

= t -  (4/5)t

= t (1 - 4/5)

after simplifying this expression we get,

t - r = (1/5)t

This means, the value of t is greater than the value of r by (1/5)

To find the percent :

1/5 × 100

= 20%

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The complete question is:

the value of r is 4/5 times the value of t; where r > 0. The value of t is what percent greater than the value of r ?

Answer:

x= -21

Step-by-step explanation:

-1/3=7/x

-1x=21

-1x/-1=21/-1

x= -21

Answer:

8wpm

Step-by-step explanation:

all you have to do is find the unit rate so

64 ÷ 8 = 8

8/1

8 words per minute!

a. Line graph for the given pmf f(x) = x/9, x = 2, 3, 4: To create a line graph, we plot the values of x on the x-axis and the corresponding probabilities f(x) on the y-axis.

x | f(x)

---------

2 | 2/9

3 | 3/9

4 | 4/9

Here is the line graph representing the pmf:

         |

       4 +--------------------------------------------------+

         |       *

         |      *

       3 +-----*---*------------------------*---------------+

         |    *    *

         |   *

       2 +--*---------------------------------------------+

         |

         +---------------------------------------------------

          2     3     4

b. Probability histogram for the given pmf f(x) = x/9, x = 2, 3, 4:

To create a probability histogram, we plot the values of x on the x-axis and the probabilities f(x) on the y-axis using bars.

The bars have widths corresponding to the values of x and heights corresponding to the probabilities f(x).

x | f(x)

---------

2 | 2/9

3 | 3/9

4 | 4/9

Here is the probability histogram representing the pmf:

         |

       4 +-------------------+

         |       ******

         |      *********

       3 +-----************

         |    **************

         |   *****************

       2 +--********************

         |

         +-----------------------

          2     3     4

In the histogram, the bars represent the probabilities of each value of x. The height of each bar corresponds to the probability, and the width of each bar represents the corresponding value o

f x.

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The interval notation that expresses the expression is (-∝, 3] ∩ (-∝, -1) ∩ (-1, ∝) ∪ [4, ∝)

The expression is given as:

x ≤ 3 and x ≠ -1 or 4 ≤ x

In inequality, "and" is represented with ∩, while "or" is represented with ∪

The above can be represented as:

x ≤ 3 ∩ x ≠ -1 ∪ 4 ≤ x

As an interval notation, we have (-∝, 3] ∩ (-∝, -1) ∩ (-1, ∝) ∪ [4, ∝)

Hence, the interval notation that expresses the expression is (-∝, 3] ∩ (-∝, -1) ∩ (-1, ∝) ∪ [4, ∝)

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Answer:

Line 2

Step-by-step explanation:

line one's slope is one and line 2 is 3

Answer:

Line 2/Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has.

Step-by-step explanation:

Depending on the steepness of the line and which way it faces, we can easily determine which line has a larger slope - Any line that goes left to right is negative, and the steeper a line is, the more the farther negative/positive slope it has. The slope of line one is determined from rise over run. When we take the 2 points marked, we can count rise (4) and run (4), so we have 4/4, which is one. For line 2, we can do the same and get 3. Therefore, Line 2 has a greater slope

Answer:

square root of 654

Step-by-step explanation:

Answer: x=3 ; y=13

Step-by-step explanation:

1. isolate y from equation to substitute into the second equation

y= 16-x ---> (16-x) = 3x+4

2. move to one side and solve for x

4x=12 --> x=3

3. plug in x value to solve for y

3+y=16 or 3(3)+4

y=13

Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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Answer:

0.1

Step-by-step explanation:

100 x 10 = 1000. Essentially, you just add a zero to 100. so you take a zero out of .01. SO your answer is 0.1.

Answer: 0.1 fluid ounce

explanation:

since 100 drops of a liquid have 0.01 fluid ounces

1 drop of a liquid has (0.01/100)× 1 fluid ounces = 0.0001 ounces

so 1000 drops of a liquid have (1000×0.0001)= 0.1 fluid ounce

Answer:

X=48

Step-by-step explanation:

22+26=48

180-38=132

180-132=48

Answer:

(i) K = 1.8 (Given in explanation)

(ii) Nicole will have the required amount of $2150 after 5 complete years

Step-by-step explanation:

The formula for compound interest is,

\(A = P(1+r/n)^{nt}\)

Where A is the final amount

P is the initial amount

r is the interest rate

n is the number of times the interest is applied per time period

t is the number of time periods elapsed

(i) In our case,

P = initial amount = $2000

A = final amount = #2036

r = K%

n = 1 (The account pays compound interest once per year and the time period is in years)

And for the 1st case, t = 1 year

so,

\(A = P(1+r/n)^{nt}\\2036 = 2000(1+K/100)^{1}\)

Note: 1/100 = 1% so K/100 = K%

\(2036/2000 = (1+K/100)\\2036/2000 - 1 =K/100\\1.018 -1 = K/100\\0.018=K/100\\K=(100)(0.018)\\\\K=1.8\)

Hence shown that K = 1.8

(ii)For the 2nd case, A = $2150 but in this case, we need to find the number of years t and we have found K from the previous problem K = 1.8

So,

\(2150 = 2000(1+1.8/100)^{t}\\2150/2000 = (1+1.8/100)^{t}\\1.075 = (1+1.8/100)^{t}\\\)

Now, we take the log on both sides,

\(log(1.075) = log(1 + 1.8/100)^t\)

Using the property,

\(log(A)^B = (B)(log(A)\)

we get,

\(log(1.075) = (t)log(1 + 1.8/100)\\log(1.075) = (t)log(1.018)\\log(1.075)/log(1.018) = t\\Which \ gives,\\t = 4.054 \ years\)

So, after 4 years, Nicole will have less than $2150 since it requires 4.054 years,

Hence, Nicole will have the required amount of $2150 after 5 complete years

The explicit rule for the sequence is f(n) = 6 - 4(n - 1)

From the question, we have the following parameters that can be used in our computation:

a1 = 6

a(n) = a(n - 1) - 4

In the above sequence, we can see that -4 is added to the previous term to get the new term

This means that

First term, a = 6

Common difference, d = -4

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 6 - 4(n - 1)

Hence, the explicit rule isf(n) = 6 - 4(n - 1)

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Answer:

fourth option

Step-by-step explanation:

The mean is calculated as

mean = \(\frac{sum}{count}\)

         = \(\frac{15+16+21+23+25+25+25+39}{8}\)

        = \(\frac{189}{8}\)

       = 23.6 ( to 1 dec. place )

The median is the middle value of the data set. If there is no exact middle then it is the average of the values either side of the middle.

15  16  21  23  25  25  25  39

                    ↑ middle

median = \(\frac{23+25}{2}\) = \(\frac{48}{2}\) = 24

The mode is the value that occurs most often, that is 25

Thus

mean = 23.6 , median = 24 , mode = 25

Answer:

hope this will help you

Answer:

(x − 2)×(3x+1)

Step-by-step explanation:

We can use this method:

\(\begin{aligned}3 x^{2}-5 x-2 &=3 x^{2}-5 x-x+x-2 \\\\&=3 x^{2}-6 x+x-2 \\\\&=3 x \cdot(x-2)+(x-2) \\\\&=(x-2)(3 x+1)\end{aligned}\)

All I did is Subtracting x then adding x which will not affect the result because  -x + x = 0

Answer:

225 adult tickets

530 student tickets

Step-by-step explanation:

A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:

1. Mack will be paid $10.50 total

2. Mack will be paid $34.50 total

Step-by-step explanation:

ANSWER

y = 4 (Option C)

EXPLANATION

We want to find the equation of the line that is parallel to the x axis and passes through point (1, 4)

First, it is important to note that all lines parallel to the x axis have gradient of zero (0).

Now, the equation of a line can generally br found by using:

where m = gradient/slope

x1, y1 = cordinates of the point that the line passes through.

Therefore:

Therefore, for the given line:

That is the equation of the line.

If so, then I can provide a brief explanation of this statement, which is known as the Side-Angle-Side (SAS) congruence theorem.

According to this theorem, two triangles are congruent if they have two pairs of corresponding sides that are congruent, and the included angles between these sides are also congruent.

To prove this theorem, we can use the fact that congruent triangles have corresponding angles and sides that are equal in measure.

Thus, if two triangles have two pairs of congruent sides and a congruent included angle, then we can use the angle-side-angle (ASA) postulate to show that they are congruent.

Specifically, we can say that the two triangles have a common angle between the two pairs of congruent sides, and the third corresponding angle is also congruent by virtue of the congruent included angle.

For example, suppose we have two triangles, ABC and DEF, as shown below:

A                    D

/ \                  / \

B-------C E-------F

Suppose we know that AB ≅ DE, BC ≅ EF, and ∠ABC ≅ ∠DEF. To show that triangle ABC ≅ triangle DEF, we can use the ASA postulate as follows:

By definition, AB ≅ DE and BC ≅ EF.

By the congruent included angle, ∠ABC ≅ ∠DEF.

Therefore, Since the triangles share the common side BC/EF, we have the common angle at B/C congruent to the corresponding angle at E/F.

By ASA postulate, we can conclude that triangle ABC ≅ triangle DEF.

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