studies show that gasoline use for compact cars sold int he untied states is normally distirbuted with a mean use of 25.5 miles per gallon and a standard deviation of 4.5 miles per gallon. what eprcentage of compact obtains 30 or more miles per gallon

Answer:

-7/6

Step-by-step explanation:

If a = 1/2 and b = -3/7, then your given:

1/2 divided by -3/7=

-7/2*3=

-7/6

Sorry if its a bit unclears

Answer:

\(\frac{7}{-6}\)

Step-by-step explanation:

To do this you are basically dividing the fractions so when you set up the equation it will look like this \(\frac{1}{2}/\frac{-3}{7}\) now that we have this we will take the reciprocal of -3/7 which is 7/-3 and than multiply the 2 fractions we we get 7/-6

Answer:

3 is the answer

Step-by-step explanation:

-(5)+8

-5+8=3

you just change x for 5  and go from there

In this problem, you have to use substitution!

-x + 8, when x = 5

1) Substitute the value of 'x' with '5'

   -x + 8

= -5 + 8

2) Reverse the expression to make it easier to solve [optional]

  -5 + 8

= 8 - 5

3) Solve!

   8 - 5

= 3

Your answer is 3

I hope this helps!

- sincerelynini

By doing a simple change of units, we will get:

a) 144km

b) 96km

c) 200km

First, we know that 5 miles is equivalent to 8 kilometers, then we can write:

5 mi = 8km

1 = (8km/5mi)

Now, remember that if we multiply by 1 the value does not change, then if we multiply by  (8km/5mi) (which is equivalent to 1) we don't change the value, only the units (from miles to km).

a) According to the table, the distance between Kendal and York is 90mi, then the distance in kilometers is:

d = 90 mi = (90mi)*(8km/5mi) = 144km

b) Between Sheffield and york there are 60 miles, then the distance is just:

D = 60mi = (60mi)*(8km/5mi) = 96 km

c) Between Lincoln and Middlesbrough there are 125 miles, then the distance in kilometers is:

d = 125mi = (125 mi)*(8km/5 mi) = 200km

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The solution of 3 drops of yellow food coloring needed to make a shade of orange icing with 9 drops of red food coloring is 72/24

The formula for calculating the number of drops of yellow food coloring required to make a shade of orange icing would be:

Yellow Food Coloring Drops = (Red Food Coloring Drops x 8) / 24

In this example, we are using 9 drops of red food coloring. To calculate the number of drops of yellow food coloring needed, we would plug in 9 for the number of drops of red food coloring, resulting in the following equation:

Yellow Food Coloring Drops = (9 x 8) / 24

We can solve this equation by multiplying both sides by 24 to get:

Yellow Food Coloring Drops x 24 = 9 x 8

We can further simplify the equation by multiplying the numbers on the right side of the equation to get:

Yellow Food Coloring Drops x 24 = 72

Finally, we can solve for the number of drops of yellow food coloring by dividing both sides of the equation by 24 to get:

Yellow Food Coloring Drops = 72/24

After simplification, we end up with the solution of 3 drops of yellow food coloring needed to make a shade of orange icing with 9 drops of red food coloring.

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The surface area of the open-top box is 23872 cm².

In the question, we are asked to find the surface area of an open-top box with a length of 9cm, a width of 8cm, and a height of 7m.

The length is given to be, l = 9 cm.

The width is given to be, w = 8 cm.

The height s given to be, h = 7 m = 700 cm.

The box is in the shape of a cuboid.

The surface area of a cuboid is calculated using the formula, A = 2(lw + wh + hl).

But, the given box has an open top. Thus, one surface involving the length and width, that is, with an area of lw is missing.

Thus, the surface area of the open-top box can be calculated as:

A = 2(lw + wh + hl) - lw,

or, A = lw + 2h(w + l).

Substituting the values now, we get:

A = 9*8 + 2*700/(9 + 8),

or, A = 72 + 1400*17,

or, A = 72 + 23800,

or, A = 23872 cm².

Thus, the surface area of the open-top box is 23872 cm².

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Answer:

a) 4.236 x 10^2

b) 7.194548 x 10^6

c) 5.0023 x 10^2

d) 7.123884 x 10^1

e) 5.62 x 10^-1

f) 3.48 x 10^-2

g) 1.23 x 10^-4

h)  5.603002 x 10^-1

Hopefully this helps :)

Answer:

a) 423.6=4.236*10^2

b) 7,194,548=7.194548*10^6

c) 500.23=5.0023*10^2

d) 71.23884=7.123884*10^1

e) 0.562=5.62*10^-1

f) 0.348=3.48*10^-1

g) 0.000123=1.23*10^-3

h) 0.5603002=5.603002*10^-1

Step-by-step explanation:

The numbers in which the point lies must be between 0 and 10

Hope this helps ;) ❤❤❤

Answer:

6 miles per minute.

Step-by-step explanation:

All you need to do is, divided 720 into 120, and you will get your answer. :)

For a 30-degree angle, the sine (sin) is approximately 0.5, the cosine (cos) is approximately 0.866, and the ratio sinθ/cosθ is approximately 0.577. These values represent the trigonometric functions of the given angle.

The sine (sin) and cosine (cos) functions represent the ratio of the lengths of the sides of a right triangle. For a 30-degree angle in a right triangle, the sides are in the ratio 1:√3:2. Using this information, we can find the sine and cosine values.

sin(30 degrees) ≈ 0.5

cos(30 degrees) ≈ 0.866

Now, we can calculate the ratio sinθ/cosθ:

sinθ/cosθ = (0.5)/(0.866)

Dividing these values, we get:

sinθ/cosθ ≈ 0.577

Rounded to the nearest thousandth, the ratio sinθ/cosθ for a 30-degree angle is approximately 0.577.

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Answer:

Step-by-step explanation:

it has 14 sides

360/14= 25.714

rounding to the nearest tenth we get:

25.7

In order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

As given,

Consider two linear equations

a₁ x +b₁ y +c₁=0     _(1)

a₂ x +b₂ y +c₂=0    _(2)

Now to eliminate x variable equate coefficient of x with opposite sign

Multiply (1) by a₂ and (2) by a₁ and subtract to use elimination method

a₁ a₂ x + b₁ a₂ y + c₁ a₂=0

a₁ a₂ x +a₁ b₂ y + a₁ c₂=0

-          -            -          

0x + (b₁ a₂ -a₁ b₂)y +(c₁ a₂-a₁ c₂)=0

Therefore, in order to solve a system of linear equations using the elimination method coefficient of the eliminated variable should be equal with opposite sign.

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Answer:

B. 9/91

Step-by-step explanation:

-81/9 = -2

9/81 = 1/9

√9 = 3

√81 = 9

B is the odd one out; it's a fraction.

Answer:

The domain is equal to (x)=√x

(x)=x is x>0x>0

Answer:

put this in your calculator

Step-by-step explanation:

volume =( pi • r ^2) x Height

height = VOLUME / pi • r ^2

= 5 / pi • (0.7) ^2

Answer:

Hey there!

1383200 can be written as 1.3832x10^6. The leftmost option is correct.

Hope this helps :)

Answer:

1.3832 * 10 ^6

Step-by-step explanation:

1,383, 200

Scientific notation is a * 10 ^b  where a is between 1 and less than 10

move the decimal 8 places to the left

1.383200

The value of b is the number of places moved.  Since it is to the left we make the value positive b = +6

We can drop the extra zeros at the end of a

1.3832 * 10 ^6

Answer: The answer is A

Step-by-step explanation:

Answer:

8, 26 and 19

Step-by-step explanation:

Perimeter is the length of all sides of a polygon. It is simply the length of the boundary around a closed shape. Perimeter of a triangle = Sum of all three sides.

Hence,

\(\Rightarrow\) n + 3n + 2 + 4n - 13 = 69 (acc. to Q)

\(\Rightarrow\) n + 3n + 4n + 2 - 13 = 69

\(\Rightarrow\) 8n - 11 = 69

\(\Rightarrow\) 8n = 80

\(\Rightarrow\) n = 80/10

\(\Rightarrow\) n = 8

Length of all three sides:

3 / 0.8 = z / 5.6

To find z, we need to isolate z. How can we do this? Right now, we know z / 5.6 is equal to 3 / 0.8.

This will cancel the divide by 5.6 or the 1/5.6 on the right side to isolate z!

(3 × 5.6) / 0.8 = z

16.8 / 0.8 = z

All we have to is simplify!

z = 21

Answer:

1. \(r^5\)

2. \(st^2\)

3. \(qr\)

4. \(1\)

5. \(m\)

6. \(x\)

7. \(\frac{1}{z}\)

8. \(a\)

9. \(d^4f^2\)

10. \(1\)

11. \(cd^2\)

12. \(b\)

13. \(1\)

14. \(st^2\)

15. \(\frac{1}{mn}\)

Step-by-Step Explanation:

Subtract the exponents

Hope this helps :)

P.S Please mark Brainliest if this answer helped you :)

If the IQ scores of adults in the United States follow a normal distribution with a mean of 98 and a standard deviation of 16 and Mensa is a high IQ society in which people who have IQs in the top 2% of the population can become a member, then the lowest IQ one could have in the U.S. and still be able to join Mensa is 130.8

To find the lowest IQ, follow these steps:

Therefore, the lowest IQ one could have in the U.S. and still be able to join Mensa is 130.8.

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Trudy gave a speech focused on persuading a customer to purchase, which indicates a departure from the formal structure of speeches in Aristotle's day.

Trudy's speech, which emphasizes persuading a customer to make a purchase, suggests a more modern approach to speeches compared to Aristotle's time. Speeches in Aristotle's day often followed a more formal structure, encompassing various elements such as introduction, body, and conclusion, with an emphasis on informing, persuading, or entertaining the audience.

Option A states that speeches today only have one main idea in each. While it is common for modern speeches to focus on a central message or main idea, it does not necessarily address the historical context of speeches.

Option B suggests that today's speeches are more casual in length and purpose compared to Aristotle's day. This aligns with the idea that Trudy's speech deviates from the formal structure of traditional speeches. However, it does not provide a comprehensive understanding of the history of speeches.

Option C indicates that Trudy is trying to persuade, which Aristotle recognized as a primary purpose of speeches. This option acknowledges that persuasion has long been recognized as an essential aspect of speeches and suggests that Trudy understands this aspect.

Option D states that there were no sales presentations in Aristotle's day. While sales presentations as we know them today may not have existed during Aristotle's time, the concept of persuasion and influencing an audience through speeches certainly did.

Based on the given information, it is challenging to determine whether Trudy fully understands the history of speeches. While Trudy's speech exhibits a departure from the formal structure of Aristotle's day, it is unclear whether she has a comprehensive understanding of the historical context of speeches.

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Answer:

z=12

Step-by-step explanation:

5z=60

divide both sides by 5

z=60/5

z=12

Answer:

5z/5=60/5

4

12

answer to the question is 12

Answer:40

Step-by-step explanation:

Step-by-step explanation: use a ruler measure 5 in on the bottom or top of the triangle and 8 in on the top or bottom the try to connect it with the ruler than see how many inches it is when it connects.

It would cost approximately $1.10 to use the clothes washer.

To calculate the cost of using the clothes washer, you'll need to multiply the energy usage (in kilowatts) by the duration (in hours) and the cost per kilowatt-hour. In this case, the clothes washer used 2.6 kilowatts for 0.9 hours and the electricity cost is $0.47 per kilowatt-hour.

To find the total cost, use the following formula:

Total cost = Energy usage (kilowatts) × Duration (hours) × Cost per kilowatt-hour

Plug in the given values:

Total cost = 2.6 kilowatts × 0.9 hours × $0.47 per kilowatt-hour

Total cost = $1.1046

To find the cost to the nearest penny, round the result to two decimal places:

Total cost = $1.10

So, it cost approximately $1.10 to use the clothes washer.

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Answer:

Step-by-step explanation:

The GCF of 8 and 9 is 1

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

9 ÷ 1 = 9

The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 9 = 8 : 9

Option (b)1 < x is a counter example to the statement.

A statement is a declarative sentence that can be either true or false, but not both.

To find a counterexample to the statement "\(x^3\) ≥ x", we need to find a value of x for which the inequality is not true.

One counterexample to this statement is x = -1/2, because\((-1/2)^3\) = -1/8, which is less than -1/2.

Counterexample: x = -1/2

The statement: \(x^3 \geq x\) is true for all x in the interval [0,1] but false for all x > 1

Therefore, a counterexample would be any value of x greater than 1.

So, option (b)   is a counterexample to the statement.

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2 possible answers to your question depending if it's factor expression of finding the roots of a polynomial.

Factor expression answer: 8(a+2)

Roots of a polynomial answer: -2

it's most likely the first one thought!

Have a nice day.