what is 4 divided by 6

The exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × \(10^5\)

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

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Answer:

4 gallons will be needed to paint an entire room

To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

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Answer: The greatest common factor is 5.

Answer: g=14 1/2

Step-by-step explanation:

i took the k12 quiz

Answer:

its 14 1/2

Step-by-step explanation: i took the test;)

Answer:

12.75feet (12¾)

Step-by-step explanation:

7t+1+5t+8=162feet

12t+9=162feet

12t=162-9

=153

t = 153÷9

=12.75feet (12¾feet)

Answer:

Step-by-step explanation:

to find increased percent

increase amount = $70 - $40

=$30

increase percent = increase amount /original amount *100%

=30/40 *100%

=3000/40

=75%

to find decrease percent

decrease amount = $70 - $40

=$30

decrease percent = decrease amount /original amount *100%

=30/70 *100%

=3000/70

=42.85 %

Answer: Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

Step-by-step explanation:

Let the number of hours that Danielle used in driving to be represented by x.

Since Jamal drives 3 times the hours that Danielle does. This will be:

= 3 × x = 3x

Since Jamal and Danielle drive for a total of 8 hours. This can be formed into a equation as:

x + 3x = 8

4x = 8

x = 8/4

x = 2

Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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An average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

To determine the number of people who are stepping onto the roller coaster per minute at peak time, you need to divide the number of people on the roller coaster by the duration of the ride. Hence, the correct option is B) 6.

To be more specific, this means that at peak time, an average of 3 people is getting on the ride per minute. This is how you calculate it:

Number of people per minute = Number of people on the roller coaster / Duration of the ride

Number of people on the roller coaster = 24

Duration of the ride = 8 minutes

Number of people per minute = 24 / 8 = 3

Therefore, an average of 3 people are stepping onto the roller coaster per minute at peak time. The answer is option B) 6.

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One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

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Answer: 1.961%

Step-by-step explanation:

Answer:

n3 14 + 14 + 14 + 14 + 14 + 14 + 14 = 98

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

x-intercepts: (-3, 0) and (-1, 0)

y-intercept: (0, 3)

Vertex: (-2, -1)

Axis of symmetry:  x = -2

Step-by-step explanation:

The x-intercepts of a function are the points at which the graph crosses the x-axis. At these points, the value of the function (y-value) is equal to zero, y = 0.

Therefore, to find the x-intercepts of the given function g(x), set the function to zero and solve for x:

\(\begin{aligned}g(x)&=0\\x^2+4x+3&=0\\x^2+x+3x+3&=0\\x(x+1)+3(x+1)&=0\\(x+3)(x+1)&=0\\\\x+3&=0 \implies x=-3\\x+1&=0 \implies x=-1\end{aligned}\)

Therefore, the x-intercepts of function g(x) are (-3, 0) and (-1, 0).

\(\hrulefill\)

The y-intercept of a function is the point at which the graph crosses the y-axis. At this point, the value of the function (x-value) is equal to zero, x = 0.

Therefore, to find the y-intercept of the given function g(x), substitute x = 0 into the function and solve:

\(\begin{aligned}x=0 \implies g(0)&=(0)^2+4(0)+3\\&=0+0+3\\&=3\end{aligned}\)

Therefore, the y-intercept of function g(x) is (0, 3).

\(\hrulefill\)

The vertex of a quadratic function is the point on the graph of the function where the parabola reaches its maximum or minimum value

The x-value of the vertex of a quadratic function is the midpoint between the two x-intercepts. The x-intercepts of function g(x) are -3 and -1. Therefore, the x-value of the vertex is x = -2.

To find the y-value of the vertex, substitute the found x-value into the given function:

\(\begin{aligned}x=-2 \implies g(-2)&=(-2)^2+4(-2)+3\\&=4-8+3\\&=-1\end{aligned}\)

Therefore, the vertex of function g(x) is (-2, -1).

\(\hrulefill\)

The axis of symmetry of a function is a vertical line that divides the graph into two symmetric halves. The axis of symmetry of a quadratic function is located at the x-value of the vertex.

Therefore, since the x-value of the vertex is -2, the axis of symmetry of function g(x) is x = -2.

So, the quartiles are Q1 = 59, Q2 = 62, and Q3 = 65.

IQR = Q3 - Q1 = 65 - 59 = 6.

The data set does have one outlier, The value 77.

It is above the upper outlier limit of 74.

a)To find the quartiles, we first need to arrange the data in order:

55 56 57 59 60 60 61 62 62 62 63 64 65 65 77

The median is the middle value of the data set, which is:

Median = 62

To find the first quartile (Q1), we take the median of the lower half of the data:

Q1 = Median of {55, 56, 57, 59, 60, 60, 61} = 58

To find the third quartile (Q3), we take the median of the upper half of the data:

Q3 = Median of {63, 64, 65, 65, 77} = 65

b)The interquartile range (IQR) is the difference between the third and first quartiles:

IQR = Q3 - Q1 = 65 - 58 = 7

c) To identify any outliers, we can use the rule that considers any value that falls below Q1 - 1.5 IQR or above Q3 + 1.5 IQR to be an outlier.

Lower outlier bound: Q1 - 1.5 IQR = 58 - 1.5(7) = 47.5

Upper outlier bound: Q3 + 1.5 IQR = 65 + 1.5(7) = 76.5

Since one value (77) that falls above the upper outlier bound, this value is considered an outlier.

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Answer:

A.x+1

Step-by-step explanation:

Answer:

88 cm

Step-by-step explanation:

to find the circumference of a circle you can use the equation

d(pi)

d being diameter and pi in this case being 22/7

so you can directly multiply 28 and 22/7

28/1 * 22/7

you can cross cancel 28 and 7 making them 4 and 1 respectively

then you have 4/1 * 22/1

that is also 4 * 22

that is 88

Answer:

26mph

Step-by-step explanation:

18 miles at 36mph will take 30 minutes and 26 × 7 is 3 h 30 min

Answer:

y = -2x+4

Step-by-step explanation:

hope this helps

The determinant of a matrix is a scalar value that can be computed from the elements of a square matrix. It is denoted by det(A) or |A|. The determinant provides important information about the matrix and its properties, such as whether the matrix is invertible or singular.

To find the determinant of a matrix using cofactor expansion, follow these steps:

For example, let's find the determinant of the following 3x3 matrix:

\(A=\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)

We will use the first row to expand the determinant. The cofactors of the elements in the first row are:

C11 = (5*9 - 6*8) = -3

C12 = -(4*9 - 6*7) = 6

C13 = (4*8 - 5*7) = -3

Using the cofactor expansion of the first row, we get:

det(A) = 1*(-3) + 2*(6) + 3*(-3) = 0

Hence, the determinant of A is 0.

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Answer:

5/-6 divided 5/3 = -0.5

A) The sample proportion = 0.17, and standard error/deviation = 0.013281

B) 0.869

C)0.9668

A) We know that 17% of households spend more than $100 per week on groceries. We are given that p ( the proportion of the population that spends more than $100 per week) = 0.17

sample size (n)= 800

The sample proportion of p = 0.17

The standard error of p will be calculated using this formula =

\(\sqrt{\frac{p(1-p)}{n} }\) =\(\sqrt{\frac{0.17(1 - 0.17)}{800} }\)

=  0.013281

B) We have to find the probability that the sample proportion will be +-0.02 of the population proportion

= p (0.17 - 0.02 ≤ P ≤ 0.17 + 0.02 ) = p( 0.15 ≤ P ≤ 0.19)

z value corresponding to P

Z = (P - p)/std deviation at P = 0.15

Z =  (0.15 - 0.17) / 0.013281 =  -1.51

at P = 0.19

z = ( 0.19 - 0.17) / 0.013281 = 1.51

Therefore the required probability will be

p( -1.5 ≤ z ≤ 1.5 ) = p(z ≤ 1.51 ) - p(z ≤ -1.51 )

= 0.9345 - 0.0655 = 0.869

C) Now, we have to find the same probability for a sample (n ) = 1600

standard deviation/ error = 0.009391 (applying the equation for calculating standard error as seen in part A above)

Therefore the required probability after applying;

z =   (P - p)/std deviation at p = 0.15 and p = 0.19

p ( -2.13 ≤ z ≤ 2.13 ) = p( z ≤ 2.13 ) - p( z ≤ -2.13 )

= 0.9834 - 0.0166 = 0.9668

Therefore,

A) The sample proportion = 0.17, and standard error/deviation = 0.013281

B) 0.869

C)0.9668

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The complete question is " The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population. a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. b. What is the probability that the sample proportion will be within ±.02 of the population proportion? c. Answer part (b) for a sample of 1600 households."

Answer:

\( \frac{1}{4} y \geqslant 8 = \)

answer:16, and 24 l☺ i think i could help

\( \sqrt{5612} = \frac{5612 + 5625}{2 \sqrt{5625} } = \frac{11237}{2 \times 75} = 74.913333\)

Area of a rectangle = height × width

= 5b × 3a

= 15ab

The quantity demanded is greater the quantity supplied, and as such there will be a shortfall.

The demand and supply functions are given as:

Demand: 2p + 5q = 200

Supply: p - 29 - 30

For a price of p = $70, we will have:

Demand: 2(70) + 5q = 200

140 + 5q = 200

5q = 60

q = 12

Supply: 70 - 29 - 30 = 11

Therefore, at a price of $70, the quantity demanded is 12 pairs of shoes and the quantity supplied is 11 pairs of shoes.

Since the quantity demanded is greater the quantity supplied, then there will be a shortfall of 1 pair of shoes.

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Complete question is:

If the demand for a pair of shoes is given by 2p + 5q = 200 and the supply function for it is p - 29 - 30, compare the quantity demanded and the quantity supplied when the price is $70. quantity demanded pairs of shoes quantity supplied pairs of shoes Will there be a surplus or shortfall at this price? There will be a surplus. There will be a shortfall.