Solve the inequality 2x + 10 < 5x + 1

Answer:

Rs. 23520

Step-by-step explanation:

Given that :

At 12% profit ; sales price = 18,816

At (12 + 3)% profit ; sales price = x

Hence,

0.12 = 18,816

0.15 = x

Cross multiply ;

0.12x = 0.15 * 18816

0.12x = 2822.4

x = 2822.4 / 0.12

x = 23520

Hence, sales price for a 3% increaa in profit should be Rs. 23520

Answer:

Hi! The solution this problem is 3x−5

Step-by-step explanation:

Answer:

3−5

Step-by-step explanation:

Answer:

Subtract the final price from the original price. Divide this number by the original price. Finally, multiply the result by 100.

Step-by-step explanation:

The 95% confidence limits could be either option a (73 and 81) or option c (72 and 81). These ranges are wider than the given 98% confidence interval, indicating they could be the correct 95% confidence limits.

To determine which of the given options could be the 95% confidence limits, we need to consider the relationship between confidence intervals and their corresponding confidence levels.

In general, a 95% confidence interval is wider than a 98% confidence interval. This means that if the 98% confidence limits are 73 and 80, the corresponding 95% confidence limits would be wider and therefore should include a larger range of values.

Let's evaluate the given options:

a. 73 and 81: This range is wider than the 98% confidence interval, so it could be the 95% confidence limits.

b. 72 and 79: This range is narrower than the 98% confidence interval, so it cannot be the 95% confidence limits.

c. 72 and 81: This range is wider than the 98% confidence interval, so it could be the 95% confidence limits.

d. 74 and 79: This range is narrower than the 98% confidence interval, so it cannot be the 95% confidence limits.

Based on the above analysis, the options that could be the 95% confidence limits are:

a. 73 and 81

c. 72 and 81

Therefore, the correct answer is either option a or option c.

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The correct response is b. y = 197,910(1.069)^t. 197,910 people called Greensboro, North Carolina, home in 1984. Since 1984, Greensboro's population has been declining at an average rate of 6.9% per year, according to the U.S. Census Bureau.

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function. An average rate of change function is a calculation that divides the amount of change in one item by the corresponding amount of change in another. Below are some examples of typical change rates: The typical bus speed is 80 km/h. Fish populations in lakes increase at a rate of 100 each week. For every 1 volt drop in voltage, an electrical circuit's current reduces by 0.2 amps.

The population of Greensboro t years after 1984 is y = 197,910(1.069)^t.

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As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)

given that

there are 36 independent problems

mean(μ) = 6minutes

standard deviation(σ) = 3 minutes

sample standard deviation = σ/\(\sqrt{n}\)

 = 3/\(\sqrt{36}\)

 =3/6

 =0.5

the sample mean x of 36 questions answering time approximately follows a normal distribution with mean 6 minutes and sample standard deviation is 0.5 minutes

now we need to find the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)

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QR = 4 unit

Let us find RS, which is the length of the rectangle . Therefore

The equation of the curve that satisfies the condition is \(y = 4e^{4x^{14}}\)

From the question, we have the following parameters that can be used in our computation:

dy/dx = 56yx¹³

Rewrite as

dy/y = 56x¹³ dx

Integrate both sides of the equation

So, we have

ln(y) = 56x¹⁴/14 + c

Evaluate the quotient

ln(y) = 4x¹⁴ + c

Take the exponent of both sides

\(y = e^{4x^{14} + c\)

Expand

\(y = e^{4x^{14}} * e^c\)

This gives

\(y = ke^{4x^{14}}\)

The y-intercept is 4

So, we have

\(ke^{4 * 0^{14}} = 4\)

k = 4

So, we have

\(y = 4e^{4x^{14}}\)

Hence, the equation of the curve is \(y = 4e^{4x^{14}}\)

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Answer:

C. Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.

Step-by-step explanation:

From the given information;

A political polling agency wants to take a random sample of registered voters and ask whether or not they will vote for a certain candidate.

A random sample is usually an outcome of any experiment that cannot be predicted before the result.

SO;

One plan is to select 400 voters, another plan is to select 1,600 voters

If the study were conducted repeatedly (selecting different samples of people each time);

Different sample proportions would result each time, but for either sample size, they would be centered (have their mean) at the true population proportion.  This is because a sample proportion deals with random experiments that cannot be predicted in advance and they  are  quite known to be centered about the population proportion.

Answer:

u think its A if not sorry

Step-by-step explanation:

Step-by-step explanation:

We know that divisor = (dividend)(quotient)+remainder.

So we can do (x^2 - x +8)(x+4)-5, which you can just expand out.

Answer:

-----------------------------------

Recall triangle angle sum property, the sum of three interior angles is 180°.

Add up the three angle measures, then solve the equation for x:

Substitute the value of x and find the value of each angle:

Therefore, the terminal point is 0.26 radii to the right of the circle's center and 0.67 cm to the right of the circle's center.

The angle in question has an initial ray pointing in the 3-o'clock direction and measures 2.8 radians. It is centered at the vertex of a circle with a radius of 2.6 cm. To calculate the number of radii and the number of cm the terminal point is to the right of the circle's center, we need to use the formula for arc length. Arc length is equal to the circumference of the circle multiplied by the central angle's measurement, divided by 2π.

So, the arc length of this angle is equal to 2.6 cm times 2.8 radians divided by 2π, or\(2.6 x 2.8 / 6.28 = 0.67 cm.\) The terminal point is 0.67 cm to the right of the circle's center, which is equal to \(0.67/2.6 = 0.26 radii.\)

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Answer:

Step-by-step explanation:

ITS SEGMENT DH AND BF BECAUSE THEY ARE ONE PAIR

Step 1:

Given data

Cardboard size:

Length = L = 16

Breadth = W = 30

Step 2:

Let x in square is cut from 4 corners and bended into a box whose size is now

L = 16 - 2x

W = 30 - 2x

H = x

Answer:

72

Step-by-step explanation:

i just know it

If the selling price of an item is ​$480. It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360.Then 72 is the markup from cost to sale price

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The selling price of an item is ​$480

It is marked down by 10​%, but this sale price is still marked up from the cost of ​$360

We need to find 10% of 480

10/100=0.1

0.1×480=48

48 is the 10% of 480

Now subtract 48 from 480

480-48

432

Now subtract 360 from 432

432-360

72

Hence 72 is markup from cost to sale price

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Answer:

90 nickels, 72 pennies

Step-by-step explanation:

0.05n+0.01p= 5.22

n+p=162

0.05(162-p)= 5.22

p= 72

n+72= 162

n=90

Answer:

67.3

Step-by-step explanation:

Let x = unknown angle

Supplementary angles add up to equal 180

Hence 112.7 + x = 180

Solve for x

112.7 + x = 180

Subtract 112.7 from both sides

x = 67.3

An angle supplementary to an angle with a measure of 112.7 degrees has a measure of 67.3

Answer:

,,,

Step-by-step explanation:

Answer:

Scientifically proven that there is a 60% chance you will get an odd number and a 40% chance you will get an even number.

I hope this helps!!

Answer:

C

Step-by-step explanation:

7 divided by 2 equals 3.5 which equals 3.5 times pi

Step-by-step explanation:

I am not sure I understand the question with all the typos and potentially missing parts.

as I understand it, it will take her 4 hours to reach her destination when going 15 mph.

and the question is how long the trip will take, if she travels at 12 mph.

4 h × 15 m/h = 4 × 15 m = 60 miles

that is the distance of her trip.

when going slower, the distance is of course still the same, only the needed time changes :

x h × 12 m/h = 60 m

x × 12 m = 60 m

x = 60/12 = 5 hours

the trip would take her 5 hours to complete (instead of 4).

Answer:

It would drop the grade down to about a B- or C+

Step-by-step explanation:

Answer:

Right scalene

Step-by-step explanation:

The distance between two points is given as;

The number beneath the radical symbol is 58.

The missing length in the right triangle is 12 m by pythagorean theorem

The pythagorean theorem can only be applied to right triangles

The longest side of a right triangle is called hypotenuse the other two sides are legs

You can use this theorem to find a missing length or to prove a triangle is right triangle

The missing length in the right triangle with hypotenuse is 13 m and adjacent side is 5m

13²=5²+x²

169=25+x²

144=x²

x=12 m

Hence, the missing length in the right triangle is 12 m

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Answer:

im too slow i thought this was a gta cheat code

Answer:

I only know the first question and it's f(x)=3x^2+24x-6.

Answer: 24 students

Step-by-step explanation:

We know that there were 129 students total. However, of those 129 students, 9 traveled in cars, which means that only 120 students took the bus. We know there were five buses, so if the students filled the buses up equally, we can divide the number of bus riders by the number of buses to find the number of students per bus.

With 120 students and 5 buses, we get 120 ÷ 5 = 24.