Can You Solve This?
6÷2(1+2)​

Brooks finished the race in 3.982 minutes.

To find Brooks's finish time, we can subtract the time difference between Parker and Brooks from Parker's finish time. Parker finished the race in 4.29 minutes, and Brooks beat Parker's time by 0.308 minutes.

To calculate Brooks's finish time, we subtract the time difference from Parker's finish time:

4.29 - 0.308 = 3.982

Therefore, Brooks's finish time is 3.982 minutes.

Let's break down the calculation further for better understanding. Parker finished the race in 4.29 minutes, which we can represent as 4 minutes and 0.29 minutes (or 4 minutes and 29 seconds). Brooks beat Parker's time by 0.308 minutes, which is equivalent to 0 minutes and 0.308 minutes (or 0 minutes and 18.48 seconds).

To find Brooks's finish time, we subtract the time difference from Parker's finish time. Let's calculate the minutes and seconds separately:

Minutes:

4 minutes - 0 minutes = 4 minutes

Seconds:

0.29 minutes (or 29 seconds) - 0.308 minutes (or 18.48 seconds) = -0.018 minutes (or -1.08 seconds)

Since we have a negative value for seconds, we need to subtract it from the total minutes. Converting -0.018 minutes to seconds, we get -1.08 seconds.

Final Calculation:

4 minutes - 1.08 seconds = 3 minutes and 59.92 seconds

Converting the seconds back to minutes, we have 59.92 seconds ÷ 60 = 0.9987 minutes (or approximately 0.999 minutes).

Adding the minutes and seconds together, we get:

3 minutes + 0.999 minutes = 3.999 minutes

Rounding to the nearest thousandth, Brooks's finish time is approximately 3.982 minutes.

Therefore, Brooks finished the race in 3.982 minutes.

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Between 1 and 200, there are 66 numbers that are divisible by either 4 or 6.

To find the numbers between 1 and 200 that are divisible by 4 or 6, we need to determine the count of numbers divisible by 4 and the count of numbers divisible by 6, and then subtract the count of numbers divisible by both 4 and 6 (since they would be counted twice).

Divisibility by 4:

To find the count of numbers divisible by 4, we divide 200 by 4 and round down to the nearest whole number. So, 200 divided by 4 equals 50, meaning there are 50 numbers divisible by 4 between 1 and 200.

Divisibility by 6:

Similarly, to find the count of numbers divisible by 6, we divide 200 by 6 and round down. 200 divided by 6 equals approximately 33.33, so there are 33 numbers divisible by 6 between 1 and 200.

Numbers divisible by both 4 and 6:

To find the count of numbers divisible by both 4 and 6, we need to find the count of numbers divisible by their least common multiple, which is 12. We divide 200 by 12 and round down, resulting in approximately 16.67. Thus, there are 16 numbers divisible by both 4 and 6 between 1 and 200.

Finally, we add the count of numbers divisible by 4 and the count of numbers divisible by 6 and subtract the count of numbers divisible by both 4 and 6 to get the total count of numbers divisible by either 4 or 6. Therefore, there are 50 + 33 - 16 = 67 numbers between 1 and 200 that are divisible by either 4 or 6.

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Answer:

above sea level

Step-by-step explanation:

Circumference of a circle = 2πr

So,

\(circumference = 2\pi \: r \\ = > circumference = 2 \times \frac{22}{7} \times \frac{63 \: cm}{2} \\ = > circumference = 2 \times \frac{11}{7} \times 63 \: cm \\ = > circumference = 2 \times 11 \times 9 \: cm \\ = > circumference = 198 \: cm\)

Answer: Therefore, the circumference of circle is 198 cm.

Step-by-step explanation:

diameter = 63 cm

radius = 63/2 = 31.5 cm

circumference = ?

circumference or perimeter of circle = 2*pi*r

= 2*(22/7)*31.5

= (44/7)*31.5

= 198 cm

Answer:x=6 y=34

x=8 y=44

x=9 y=49

x=10 y=54

Step-by-step explanation:

x        y

6       34         6*5+4=34

8       44         8*5+4=44

9       49         9*5+4=49

10      54        10*5+4=54

Answer:

4g + 36

Step-by-step explanation:

Distribute the 4 to the parentheses:

4(g) = 4g

4(9) = 36

Add the terms together:

4g + 36 is the distributed expression

In a wheel game with eight equally spaced sectors, Keisha's chances of winning a reward on both spins are 1/16.

Probability—the possibility that an occurrence will happen—is calculated by dividing here the same number of favorable outcomes by the total number of possible outcomes. A coin toss serves as the most simple instance. If you flip a coin, there are only two possible outcomes: heads or tails.

The spinners will get a reward each everytime she lands on white. She will spin the wheel twice.

Here, there are two instances of such color white in the wheel, and there are a total of eight sectors. the likelihood that white will appear in the spin for the first time is,

P = 2/8

P = 1/4

The second case's circumstances are the same. In this instance, the outcomes including both wheel revolutions are independent of one another.

According to the product rule, the likelihood that a white sector will both spin and emerge is,

P = 1/4 * 1/4

P = 1/16

In a wheel game with eight equally spaced sectors, Keisha has a 1/16 chance of winning a reward on both spins.

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The complete question is-

Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram. Each time the spinner lands on white, she will win a prize. If she spins this wheel twice, what is the probability she will win a prize on both spins? Please show all steps!

The total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.

The price of a stock is equal to the current dividend plus the present value of all future dividends plus the price in one year. As a result, the share price of SPCC after a year will be:$112 = $7 + $105 + PV$PV = $0

Using the formula of the total return of an asset, which is equal to its capital gain plus dividend yield, we have;Total Return = Capital Gain + Dividend YieldCapital Gain = (Ending Price - Initial Price) / Initial PriceCapital Gain = ($112 - $97) / $97 = 0.1546 or 15.46%Dividend Yield = Annual Dividend per Share / Initial PriceDividend Yield = $7 / $97 = 0.0721 or 7.21%

Therefore, the total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.

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The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

56a+40b

Step-by-step explanation:

43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b

Answer:

x=40

Step-by-step explanation:

100+2x=180

80=2x

x=40

Answer:

40°, because 180 minus 100 is 80, then divided 80 by 2 (because there is two 2's) and you get 40

Step-by-step explanation:

Bleh :b

Answer:

one

Step-by-step explanation:

A unit rate compares a quantity to one unit of measure.

Given :

If, A = { x : x is a letter in the word 'MATHEMATICS' } .

To Find :

The members of A and find  n (A).

Solution :

We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .

Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.

So,

A = { M, A, T, H, E, I, C, S }

Now, number of element in set A is 8.

Therefore, n(A) = 8 .

The statement "Length of 'center' must equal the number of columns of 'x'" is generally false. The length of the 'center' variable does not necessarily need to equal the number of columns of 'x'.

The requirement for the length of 'center' depends on the specific context or purpose of its usage in relation to 'x'. In some cases, 'center' may represent a vector or an array containing the central values or positions of a dataset or matrix. In such cases, the length of 'center' would typically match the dimensionality of the dataset or matrix, which would correspond to the number of rows or columns in 'x'. However, there can be situations where 'center' represents something else entirely, such as a single value or a different set of values unrelated to the dimensions of 'x'. Therefore, it is not a general rule that the length of 'center' must always equal the number of columns of 'x'. The specific requirements and relationships between 'center' and 'x' would depend on the specific context and purpose of their usage.

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Answer: y= 4/3x -8

Step-by-step explanation:

-4 - -8 over 6 - 3

-4 + 8 over 3

4 over 3

Y intercept is y1 which is -8

Answer:

Sample Answer:

Step-by-step explanation:

The coefficients on the x2 terms cancel each other because 1 – 1 = 0.

The constant was not included.

The coefficients on the x terms were subtracted incorrectly; 8x – 6x = 2x (not negative).

Answer:

Sample Response: If you simplify the first expression, you will not get the second expression. In the first expression, the x2 terms have coefficients of 1 and -1 and, when combined, the result is 0. Also, the x terms have coefficients of 8 and -6 and, when combined, the result is 2. Finally, the constant from the first expression is not in the second expression.

Answer:/11-5/9×14/11

Step-by-step explanation:

-4/5+1/4÷3

The value of x is 17/12.

Given equation:-

3/4 = x - 4/6

We have to find the value of x from the given equation.

Rearranging the terms to find the solution, we can write,

x = 3/4 + 4/6

Least Common Multiple (LCM) of 4 and 6 = 12

Hence, we can write,

x = (3*3) + (2*4)/12

x = (9 + 8)/12

x = 17/12

Least Common Multiple (LCM)

In arithmetic, Least Common Multiple (LCM) of two or more numbers is the least positive number that can be divided by both the numbers, without leaving the remainder. It is also known as Lowest Common Multiple (LCM), Least Common Denominator, and Smallest Common Multiple.

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Answer:

The graph of g(x) will be shifted 4 units up and 1 unit to the right

Step-by-step explanation:

The parent function f(x) = x^3 is transformed to g(x) = (x – 1)^3 + 4

Parent function f(x)= x^3

If any number is added at the end then the graph will be shifted up

If any number is subtracted from x then graph will be shifted right

f(x)----> f(x) + a (shifted 'a' units up)

f(x) ----> f(x-a) (shifted 'a' units right)

g(x) = (x – 1)^3 + 4

The graph of g(x) will be shifted 4 units up and 1 unit to the right

the graph is attached below

Answer:

15%

Step-by-step explanation:

24/160 = 0.15

0.15*100 = 15

Answer:

X= − x ^3 + 2 x^2 − 3 x − 2 x ^3 ( x + 2 ) ( x − 2 ) = 0

Step-by-step explanation:

Using the unitary technique, we can determine that each tank can hold 53.65 gallons of water.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

Since the tanks are equal in size then to find the volume of 1 tank

divide the total by 12

one tank  = 53.65

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Answer:

11.66 meters

Step-by-step explanation:

First draw a diagram. See attachment.

We notice that if we draw everything out, we get a right triangle.

The flag pole and its shadow are the two legs, with lengths 10 and 6 meters. We want to find the distance from the top of the pole to the end of the shadow, so we need to use the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 10 and b = 6, and we want to find c:

a² + b² = c²

10² + 6² = c²

100 + 36 = c²

136 = c²

c = √136 = 2√34 ≈ 11.66 meters

~ an aesthetics lover

Answer:

11.7

Step-by-step explanation:

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Answer:

Step-by-step explanation:

The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units.  The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units.  If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).

The next thing to do is to calculate the length of the hypotenuse of this triangle.  Using the Pythagorean Theorem, we get:

d = √(7² + 7²) = 7√2 ft.

The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd

and ...

The area of the triangular shape is A = (1/2)(base)(height), which here is

A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2

Answer: D

Step-by-step explanation:

dim A=(a,b), dim B=(c,d), in order to multiply, c=b

1) dim A=(1,2) , dim B=(1,2) but 2≠1

2) dim A=(2,1) , dim B=(2,2) but 1≠2

3) dim A=(2,2) , dim B=(1,2) but 2≠1

4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)

Answer:

RY and ST are skew in this rectangular prism.

We accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

We have given: μ = 14, x bar = 16, n = 40, s = 6,  α = 5%, = 0.05

To test μ0 : μ = 14   Vs  H1: μ > 14

Test statistics = (X bar - μx)√n / sx = (2 x 6.3245) / 6 = 2.1081

So, P value = 0.021

Conclusion: There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

P value for the hypothesis test

n = 50, x bar = 420, sx = 81, μ = 400,

To test:  H0: μ 400    Vs   H1:  μ > 400

It is right tail test

Test statistics =  (X bar - μx)√n / sx = (420 - 400) √50 / 81 =

z = 1.7459

P value = 0.04093

Declsion: We reject H0 is p value < α

Here α = 0.05

Hence P value < α

Conclusion: We accert H1 alternative that is result is population mean greater than 400.

Hence, we accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

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