Lillian says that 25% of a number will always be less than 75% of any other number.


Complete one inequality to support Lillian's claim and one to show that she is incorrect.



CLEAR CHECK

Support


25% of

< 75% of


Refute


25% of

> 75% of

Answer:

option a all real values of x where x < −1

Step-by-step explanation:

An exponential function is a mathematical concept characterized by a constant base elevated by a variable exponent. The rate of growth or decay of the function is proportional to its current value, leading to exponential growth or decay.

An exponential function is a mathematical concept where a constant base is elevated by a variable exponent. The base could be any positive value different from one. A simple example of this type of function is f(x) = 2^x, where 2 is the constant base and x is the variable exponent.

The unique property of an exponential function is that the rate of growth or decay is proportionate to its current value. This means, as the variable x increases, the function value increases exponentially when the base is greater than one - thus showing exponential growth. Conversely, if the base is less than one but greater than zero, the function value decreases as x increases - thus representing exponential decay.

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Answer: The required confidence interval is (56.1,66.9).

Step-by-step explanation:

Since we have given that

53.1, 60.2, 60.6, 62.1, 64.4, 68.6

[tex]\bar{x}=\dfrac{53.1+60.2+60.6+62.1+64.4+68.6}{6}=\dfrac{369}{6}=61.5[/tex]

n = 6

Margin of error = 5.4

At 95% level of confidence, z = 1.96

So, the confidence interval would be

[tex]\bar{x}\pm \text{Margin of error}\\\\=61.5\pm 5.4\\\\=(61.5-5.4,61.5+5.4)\\\\=(56.1,66.9)[/tex]

Hence, the required confidence interval is (56.1,66.9).

Answer:

Therefore a= 90°,b=54°, x=54°, y= 162°

Step-by-step explanation:

a=90°

a:b=5:3

5+3= 8

5/8 x A = 90

A is the sum of the angles of a and b divided in the ratio 5:3

5A/8 = 90

cross multiply

5A= 90 X8 = 720

5A=720

A= 720/5= 144°

b= 3/8 x 144 = 3x144/8 = 432/8 = 54

a= 90

b= 54

x:y is in the ratio of 1:3

the Sum of angles in a Quadrilateral is 360°

if the sum of a and b is 144°

then the reamining angles is 360-144= 216°

then x:y=1:3

1+3=4

x= 1/4 x 216= 54°

y= 3/4 x 216= 162°

Therefore a= 90°,b=54°, x=54°, y= 162°

we can see that b = x = 54°

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)  when :     x_1 = -5  and    y_1 =3 and   m= -6/5

the equation :   y - 3 = -6/5(x +5)

Answer:

y=-6/5x-3

Step-by-step explanation:

Answer:

The top angle is 60 degrees

Step-by-step explanation:

Triangle angle sum equals to 180. 90 plus 30 is 120 and when you subtract that from 180 tada! 60

Answer:

<1 and <2 are alternate exterior angles

<3 and <4 are consecutive interior angles

Step-by-step explanation:

<1 and <2 are alternate exterior angles

Alternate exterior angles are on opposite outside of the lines

<3 and <4 are consecutive interior angles

Consecutive interior angles are on the same side on the inside of the line

Answer:

247.3 Ft

Step-by-step explanation:

c=3.14(78.75)

c=247.245 *rounded*

The question was about calculating the circumference of a circle using its diameter. The diameter was given, and the formula for circumference 'C = πd' was used, where 'd' was 78.75 feet and 'π' was approximated at 3.14. The circumference comes out to be approximately 247.35 feet when rounded to the nearest tenth.

The subject in this question is the measurement of the circumference of a cookie given its diameter, a basic concept in geometry in the field of Mathematics. Circumference which is the distance around a circle can be calculated using the formula 'C = πd', where 'C' is the circumference, 'd' is the diameter and 'π' is a constant approximately equal to 3.14.

In this case, the diameter 'd' of the cookie is 78.75 feet. So, by substituting the values into the formula, we get: C = 3.14 * 78.75.

After performing this calculation, you'll find that the approximate circumference of the cookie is 247.35 feet when rounded to the nearest tenth.

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Answer:

x=2 or 5/3

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

Answer:

x = 5/3

x = -2

Step-by-step explanation:

6x² + 2x - 20 = 0

(6x - 10)(x + 2)

= 6x² + 12x - 10x - 20

= 6x² + 2x - 20

6x - 10 = 0

6x = 10

x = 10/6

x = 5/3

x + 2 = 0

x = -2

Answer:

The second, third and fifth are true.

Step-by-step explanation:

1) False, the radius is d÷2=8÷2=4 cm

2) True, C = 2×π×r = π×d = 8π

3) True, C = 8π = 8 × 22/7 = 176÷6 ≈ 25,14

4) False, C = 25,14 ≈ 25

5) True, C = 8π = 8×3,14 = 25,12

Answer: B,C,E

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If the ratios of the corresponding sides are equal then they would be the sides of 2 similar triangles.

Calculate the ratio of corresponding sides.

[tex]\frac{6}{1.5}[/tex] = 4

[tex]\frac{10}{2.5}[/tex] = 4

[tex]\frac{12}{3.5}[/tex] ≠ 4

Thus the sides are not the corresponding sides of similar triangles.

Answer:

4/5

Step-by-step explanation:

cos B = 3/5

cos Ф = adjacent/hypothesis

hypothesis ² = adjacent² + opposite²

5²= 3²+ o²

25 = 9+o²

25-9=o²

16 = o²

√16 = o = 4

Sin B = opposite/hypothesis = 4/5

Answer:

22?

Step-by-step explanation:

Just take 40 and subtract the 7 to get 33 and then 2 to get 31 and 9 to get 22.

Answer:

22 more rolls

Step-by-step explanation:

if she needs to sell 40 and she has sold 9+7+2=18 than you subtract 18 from 40 getting 22 more rolls

Answer:

(6x² + 4x +1) - (4x + 20) = 6x² + 21

Step-by-step explanation:

(6x² + 4x +1) - (4x + 20)

= 6x² + 4x -4x + 1 + 20

= 6x² + 21

Answer:

Wavelength

Step-by-step explanation:

The picture below is an example of a wavelength which is very similar.

Step-by-step explanation:

Answer: 0.25

Step-by-step explanation:

0.75-0.5= 0.25

Answer:

d= 0.75-0.5

d= 0.25

Step-by-step explanation:

so firstly you subtract 0.5 from both sides

d= 0.75-0.5

d=0.25

Answer:

The correct option is;

(Choice B) Both the mean and median will increase, but the mean will increase by more than the median.

Step-by-step explanation:

Here, we are expected to show the differences (advantages/properties) of the mean and median

Note that the definition of the mean is the sum of the value of all data points divided by the number of data points

Assuming the four accountants each earn $ 55,000.00

Therefore, initial mean before getting rd of the part-time accountant is

(55+ 55+ 55 + 55 + 10)/5 = 46

Final mean after the part-time accountant is gone =(55+ 55+ 55 + 55 )/4 = 55

Therefore the mean increases

However, the median is given by the middle value when the list of values are arranged in increasing order as

55, 55, 55, 55, 10

Therefore the initial median is 55

Final median after the part-time accountant is gone is

55, 55, 55, 55

Therefore, final = (55 + 55)/2 = 55

That is the median remains the same that is little or increase.

Therefore, since the range of values for the full time accountants salaries weigh less than the difference between the average full time salary and a single part time, both the mean and the median will increase but the mean will increase more than the median

Answer:

b

Step-by-step explanation:

Answer:

3:4

Step-by-step explanation:

Before we start to deal with the ratio, we need all lengths in the same units.

The width is 18 inches.

The height is 2 feet.

Let's convert the height to inches. Then we will have both dimensions in the same units, inches.

2 ft * (12 in.)/ft = 24 in.

Now we have:

width = 18 in.

height = 24 in.

ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4

The ratio of the width to the height of the bonsai tree is 3:4 after converting the height into inches and simplifying the ratio.

The question asks to find the ratio of the width of a bonsai tree to its height. Since the width is given in inches and the height in feet, we first need to convert the height into inches to have a consistent unit of measure. There are 12 inches in 1 foot, so the bonsai tree's height is 2 feet times 12 inches/foot, which equals 24 inches.

Now, we can write the ratio of the width to height as 18 inches (width) to 24 inches (height). This simplifies to 3:4 after dividing both terms by the greatest common factor, which is 6.

Answer:

A) (2+x)/(4+x) × 100 = 75

B) 4

Step-by-step explanation:

2 out of 4

(2+x) out of (4+x)

(2+x)/(4+x) × 100 = 75

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

8 + 4x = 12 + 3x

x = 4

Answer:

it is a 7 step process explained in explanation section

Step-by-step explanation:

Step one

fill 7 litre bucket then pour it in 4 liter bucket

output: 7 litre bucket has 3 litres and 4 litres bucket has 4 liter in it

Step two

drain four liter bucket and pour 3 liter from 7 litre bucket in it

output: 7 litre bucket has 0 litres and 4 litres bucket has 3 liter in it

step 3

fill 7 litre bucket and transfer water from it in 4 liter bucket which has already 3 liter in it

output: 7 litre bucket has 6 litres and 4 litres bucket has 4 liter in it

step 4

drain four liter bucket and pour 4 liter from 7 litre bucket which has 6 litre in it

output: 7 litre bucket has 2 litres and 4 litres bucket has 4 liter in it

step 5

drain 4 litre bucket and pour 2 litre from 7 litre bucket

output: 7 litre bucket has 0 litres and 4 litres bucket has 2 liter in it.

step 6

fill 7 liter bucket fully

output: 7 litre bucket has 7 litres and 4 litres bucket has 2 liter in it.

step 7

pour water from 7 liter bucket in 4 litre bucket which has already 2 litre in it

output: 7 litre bucket has 5 litres and 4 litres bucket has 4 liter in it.

the answers are c and d

Step-by-step explanation:

I just finished the assignment and got everything right ;)

Hope i helped!

Answer:

c

Step-by-step explanation:

Answer:

θ = 170°

Step-by-step explanation:

Given angle is in radian as,

[tex]\theta^{c} = \dfrac{17 \pi}{18}[/tex]

Here, [tex]\theta^{c}[/tex] symbol represents the angle is in radian.

To convert given angle into degree, multiply the given angle with conversion factor as follows,

[tex]\theta^{\circ} = \theta^{c} \times \left(\frac{180}{\pi }\right)^{\circ}[/tex]

Substituting the values,

[tex]\theta^{\circ} =  \dfrac{17 \pi}{18} \times \left(\dfrac{180}{\pi }\right)[/tex]

Cancelling out the common terms,

[tex]\theta^{\circ} =17\times \left(10\right)[/tex]

Therefore,

[tex]\theta^{\circ} =170^{\circ}[/tex]

Therefore the value of given angle in degree is 170°

To convert radians to degrees, utilize the conversion factor 180/π. In this instance, we have the angle (17π / 18) radians, which simplifies to 170 degrees when converted to the degree format.

The subject topic of this conversation is about converting radians to degrees. Specifically, we're looking at how to convert the radian measurement = 17 / 18 into degrees.

One radian is equivalent to 180/ degrees. As such, to convert radians to degrees, you multiply the radian measurement by this conversion factor (180/).

Have a look at the calculation: = (17 / 18) * (180/).

The cancels out leaving us with / * . This calculation gives us = 170 degrees.

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Answer:

55/4

Step-by-step explanation:

13 3/4

(13×4 + 3)/4

55/4

Answer:

hope this helps!

Answer: 10.3 pounds of CO2 is produced

Step-by-step explanation:

Assuming there are 30 days in a month, if the microwave is run for 10 minutes per day, then the number of minutes for which the microwave is run in a month is

30 × 10 = 300 minutes

We would convert from minutes to hours

60 minutes = 1 hour

Therefore,

300 minutes = 300/60 = 5 hours

Also,

1000 watts = 1 kW

Therefore,

1500 watts = 1500/100 = 1.5kw

Therefore, the number of kWh is

1.5 × 5 = 7.5 kWh

If 1.37 pounds CO2 per kWh, then

If 1kWh = 1.37 pounds CO2, then

7.5 kWh = 7.5 × 1.37 = 10.3 pounds rounded to the nearest tenth

Final answer:

A 1500-watt microwave running for 10 minutes per day for one month emits approximately 10.3 pounds of CO2 when rounding to the tenths place.

Explanation:

The question is how much carbon dioxide is produced from running a 1500-watt microwave for 10 minutes a day for a month. To solve this, we first need to calculate the total energy used by the microwave in kWh. Since the microwave uses 1500 watts and is used for 10 minutes daily, we convert this to hours:

10 minutes = 10/60 hours = 1/6 hour

Power in kWh = Power in watts / 1000

Energy used per day in kWh = (1500 watts / 1000) x (1/6 hour) = 0.25 kWh

Next, we need to calculate the monthly energy use:

Energy used per month in kWh = 0.25 kWh/day x 30 days = 7.5 kWh

Using the given conversion factor of 1.37 pounds of CO2 per kWh, the total CO2 emissions can be calculated:

CO2 emissions = 7.5 kWh x 1.37 pounds CO2/kWh = 10.275 pounds of CO2

Finally, rounding to the tenths place:

CO2 emissions for the month = 10.3 pounds (rounded)

Answer:

1 out of 6 for green die and 1 out of 6 for red die

Step-by-step explanation:

As we know there are six numbers on both of the dices

so if we toss a die there is a 1 out of 6 outcomes that a 4 comes out for the green die and 1 out of 6 outcomes again for the red die

The probability that a 4 shows on the green die and a 5 shows on the red die is given by P ( C ) = 1/36

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that a 4 shows on the green die and a 5 shows on the red die be represented as P ( C )

Now , the number of outcomes in a roll of die = { 1 , 2 , 3 , 4 , 5 , 6 } = 6 outcomes

And , probability that a 4 shows on the green die P ( A ) = 1/6

The probability that a 5 shows on a red die P ( B ) = 1/6

Now , it is an independent experiment

So , the compound probability is P ( C ) = P ( A ) . P ( B )

And , the probability that a 4 shows on the green die and a 5 shows on the red die P ( C ) = ( 1/6 ) ( 1/6 )

The probability that a 4 shows on the green die and a 5 shows on the red die P ( C ) = 1/36

Hence , the probability is P ( C ) = 1/36

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Answer:

− 21 x + 28 ,  7 ,  3 x − 4 ,  − 7 ( 3 x − 4 ) ,  − 7 , 3 x + 4 ,  − ( 21 x − 4 )

Step-by-step explanation:

too much to explain sorry

Hope this helped!

The factor of the expression -21x + 28 is equal to  -7(3x – 4). The correct option is B.

The numerical variables and operations denoted by the addition, subtraction, multiplication, and division signs are combined in the mathematical expression.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols. They can also denote the operation order and other properties of the logical syntax.

Given expression is -21x + 28, The value of the expression will be calculated as,

E = -21x + 28

Take -7 common from the whole expression,

E = -21x + 28

E = -7 ( 3x - 4 )

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Answer:

8/5

Step-by-step explanation:

I'd write the following:

2       1

---- ÷ ----

 5      4

To divide by a fraction (such as 1/4), invert the divisor fraction and multiply instead:

2       4

---- · ---- = 8/5

 5      1