suppose that mean retail price per gallon of regular grade gasoline is with a standard deviation of and that the retail price per gallon has a bell-shaped distribution. note: please use empirical rule approximations for this problem.

!! for 2 and 3 these values are rounded

1) 693.5/18,250 = .038 x 100% = 3.8% commission

2) ~118.5%  --- divide tip/meal then x 100%

3) ~21.33%   divide sale price/over org., then subtract by 100%

The formula for the distance from the origin is distance = √(x² + y²)

In this case, the hypotenuse is the distance from the origin to the point (x, y), and the other two sides are the horizontal distance from the origin to the point, which is x, and the vertical distance from the origin to the point, which is y. Therefore, the distance from the origin to the point (x, y) is given by the following formula:

distance = √(x² + y²)

This formula is also known as the distance formula or the Pythagorean distance formula. It can be used to find the distance between any two points in a two-dimensional coordinate system.

The distance from the origin can also be expressed in terms of polar coordinates, which are a different way of describing points in a two-dimensional space.

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Answer:

A is the answer hope this helps

Subtracting the maximum sodium intake from the intake of the cereal bar, you can eat amounts of sodium less than 2,175 mg of sodium the rest of the day.

From the text, the intake has to be less than 2300 mg. From the table, each cereal bar has 125 mg of sodium.

You eat one cereal bar, hence the remaining amount you can eat is found as follows:

2300 - 125 = 2,175.

You can eat amounts of sodium less than 2,175 mg of sodium the rest of the day.

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Answer:

Brand B is better

Step-by-step explanation:

Brand A's unit price is $0.24

Brand B's unit price is $0.21

Answer:

2144.66

Step-by-step explanation:

V = 4/3 π r^3

Answer:2144.66

Step-by-step explanation:

formula for volume of a sphere- v=4/3 pi r^3

v=4/3 pi 8^3

V= 4/3 pi 512

v=2048pi

v=2144.66

1) Estimate value of the product of 2/3 and 0.55 is, 2/3.

2) The fraction part is, 55 / 100

3) The product of the two numbers is, 11/30

We have to given that,

Estimate the product of 2/3 and 0.55.

And, Convert the decimal 0.55 to a fraction.

And, The product of the two numbers.

Now,

Estimate the product of 2/3 and 0.55,

So, we can round 0.55 to the nearest whole number, which is 1.

Then, multiply 2/3 by 1 to get an estimate of the product.

so, The correct answer is 2/3.

Now, we can convert the decimal 0.55 to a fraction,

= 0.55

= 55/100

= 11/20

Thus,  The correct answer is, 55/100.

And,  the product of 2/3 and 0.55,

= 2/3 x 55/100

= 110/300

= 11/30.

Hence, The correct answer is, 110/300 or 11/30

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Answer:

The answer is D

Step-by-step explanation:

because u need to divide the y and x and when u do it to all of them u will get the same ratio which is 4

Answer:

michelles

Step-by-step explanation: hope you get it right have a great day and may i have brainlyest

Answer:A - Michelle’s because she sampled the saplings of every family in her group

Step-by-step explanation:Edge2021 just finished :)

Answer:

<1= 135 degrees

<4= 135 degrees

<6= 45 degrees

Step-by-step explanation:

This is because angle two and 6 are corresponding angles. you would then subtract 180 from 45 because angle 6 and 4 are consecutive angles. This would give you 135 degrees. Then angle 1 and angle 4 are verticla agles, making them equal to each other.

Answer:

The measure of an angle formed by two secants intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.

50° = (1/2)(162° - KM)

100° = 162° - KM

KM = 62°

Answer:

A. Consistent and dependent

Answer:

D. Consistent and independent

Step-by-step explanation:

A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)

B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)

C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve

D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)

The justification for the third step of the proof as given in the task content is; Reflexive property of ~; SSS.

The justification for the fourth step of the proof as required is; Symmetric Property of ~; SSS.

Recall that the; Reflexive Property as used in mathematical operations is such that: x = x. Therefore, the length of line segment ST and the length of line segment TS are equal and the segments are congruent.

Also, it follows from the task content that ∆RST ~ ∆UTS which means that both triangles are congruent by the Symmetric Property of SSS.

Ultimately, the justification for steps 3 and 4 are therefore, Reflexive Property of mathematical operations and the Symmetric property of SSS respectively.

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Answer:

The amount for loss would be RM 600 and the amount for profit would be RM 600.

Step-by-step explanation:

Loss percent

25=loss/CP *100

25/100=L/CP *100

25/100=100L/240,000

10000L/10000=240,000*25/10000

L=24*25

L=RM 600

Profit percent

25/100=P/240,000 *100

25/100= 100P/240000

10000P/10000=240000*25/10000

P=RM 600

Answer:

Step-by-step explanation:

RM (⁠≧⁠▽⁠≦⁠)

Answer:

1080 is the answer.

Step-by-step explanation:

Answer:

4 gigabytes

Step-by-step explanation:

$55-$35 =$20

Under $55 = less than (<) $55

According to given question we have,

$35 + $5 × g < 55

35 + 5g < 55

compare like terms and simplify we get,

5g < 55 - 35

5g < 20

g < 20/5

g < 4 gigabytes

Inequality: 5x + 35 <50

Answer: x < 3

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

Do as a which is c if I'm not than rost me

Step-by-step explanation:

Answer:

C = 853

Step-by-step explanation:

One week = 7 days

C = 119d + 20

C = 119(7) + 20

C = 833 + 20

C = 853

The resulting interval will contain 95% of all sample means. In conclusion, the interval value is 1.96.

When applying the Central Limit Theorem (CLT) to define an interval within which we expect 95% of all sample means to fall, we would use a z-value of 1.96. This is because 95% of the area under a normal distribution curve falls within 1.96 standard deviations of the mean. Therefore, using a z-value of 1.96 will give us an interval that contains 95% of all sample means.

Identify the desired confidence level. In this case, it is 95%.

Find the corresponding z-value for the desired confidence level. For a 95% confidence level, the z-value is 1.96.

Use the z-value and the standard deviation of the sample means to calculate the interval. The formula for the interval is:

mean ± (z-value)(standard deviation)

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The absolute Maximum of  f(t) = 7 cos t, −3π/2 ≤ t ≤ 3π/2 is 7 and the absolute Minimum of f(t) = 7 cos t, −3π/2 ≤ t ≤ 3π/2 is -7.

The function f(t) = 7 cos(t) has a period of 2π, which means that it repeats itself every 2π units. In the given interval, the function takes its maximum and minimum values at the endpoints of the interval and at the critical points where the derivative of the function is zero.

The critical points of f(t) in the interval −3π/2 ≤ t ≤ 3π/2 are t = −π/2, π/2, and 3π/2, where the derivative of the function f(t) is zero:

f'(t) = -7 sin(t) = 0

This occurs when sin(t) = 0, which implies that t = −π/2, π/2, and 3π/2.

Therefore, the absolute maximum and minimum of f(t) occur at the endpoints of the interval and the critical points, and are as follows:

Absolute maximum: f(π/2) = 7

Absolute minimum: f(−3π/2) = -7

So, the absolute maximum value of f(t) is 7, which occurs at t = π/2, and the absolute minimum value of f(t) is -7, which occurs at t = −3π/2.

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The value of x is approximately 369.186.

To solve the equation -0.17 = (x - 390) / 390 + 7.2 / 390 for x, we can simplify the equation and isolate x.

Given:

-0.17 = (x - 390) / 390 + 7.2 / 390

First, let's simplify the right side of the equation by finding a common denominator:

-0.17 = (x - 390 + 7.2) / 390

Combine like terms:

-0.17 = (x - 382.8) / 390

Multiply both sides of the equation by 390 to eliminate the fraction:

-0.17 * 390 = x - 382.8

-66.3 = x - 382.8

Add 382.8 to both sides of the equation:

-66.3 + 382.8 = x

316.5 = x

Therefore, the value of x is approximately 316.5 (rounded to three decimal places).

Note: There seems to be an error in the given equation. The correct equation should be -0.17 = (x - 390) / 390 + 7.2 / 390, not -0.17 = (x - 390) / 390 + 7.2 / 390.

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Answer:

Step-by-step explanation: so tuesday she sells x2 then m so thats 2m solve that then -6 =19

We can see that the expression (p q) (q → r p) (p r) is true only for the first combination of truth values (p=T, q=T, r=T).

To use the truth table method, we need to list all possible combinations of truth values for p, q, and r and then evaluate the expression (p q) (q → r p) (p r) for each combination.

If we find at least one combination that makes the expression true, then the expression is satisfiable; otherwise, it is unsatisfiable.

Let's start by listing all possible combinations of truth values for p, q, and r:

p | q | r

--+---+--

T | T | T

T | T | F

T | F | T

T | F | F

F | T | T

F | T | F

F | F | T

F | F | F

Next, we evaluate the expression (p q) (q → r p) (p r) for each combination of truth values:

p | q | r | (p q) (q → r p) (p r)

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

T | T | T |       T

T | T | F |       F

T | F | T |       F

T | F | F |       F

F | T | T |       F

F | T | F |       F

F | F | T |       F

F | F | F |       F

We can see that the expression (p q) (q → r p) (p r) is true only for the first combination of truth values (p=T, q=T, r=T). Therefore, the expression is satisfiable.

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The required distance of Cori from where he started is 35km.

Distance is a quantitative or qualitative measurement of the distance between two objects or places. Distance can refer to a physical length or an estimation based on other criteria in physics or everyday usage. Because spatial cognition is a rich source of conceptual metaphors in human thought, the term is also used metaphorically to mean a measurement of the amount of difference between two similar objects or a degree of separation. The concept of a metric space is used to codify most such conceptions of distance, both physical and metaphorical.

Given,

Cori races her friend heading south for 9 kilometers, east for 20 kilometers, then south for 6 more kilometers.

The distance of Cori from starting point=9+20+6

=15+20

=35

Hence, the required distance of Cori from where he started is 35km.

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Answer:

180000

Step-by-step explanation:

18000 i think tell me of im wrong

Ezra has to throw a beanbag 17 feet far to reach Allie

According to the question,

The distance between Allie and Ezra's flagpoles is 15 feet

length of Allie's flagpole = 35 feet

length of Ezra's flagpole = 27 feet

Difference between Allie and Ezra's flagpole = (35 - 27) feet

= 8 feet

Now, there forms a right angled triangle, where hypotenuse is the distance that Ezra's bean bad has to cover.

Using Pythagoras theorem,

\(H^{2} = B^{2} + A^{2}\)

where H = hypotenuse,

B= Base of the triangle

A = Altitude of the triangle

we are given,

B = 15 feet,

A = 8 feet

On substituting the values,

\(H^{2} = 15^{2} + 8^{2}\)

\(H^{2} = 225 + 64\\H^{2} = 289\\H = \sqrt{289} \\H = 17\\\)

So hypotenuse = 17 feet

Ezra has to throw the beanbag 17 feet far in order to reach it to Allie.

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5. 24 hours over 7 days (Because 1 day = 4 hrs)

6. 16 limes over 2 bags (1 bag = 8 limes)

7. 54 cups over 9 boxes (6 cups = 1 box)

8. 27 meters (or minutes) over 3 seconds (9 meters over 1 second)

9. 36 lbs over $24 ($1 = 1.5lbs)