10. Multi-Step In 3 minutes, a damselfly's wings beat 2,700 timesand a butterfly's wings beat 2,100 times. About how many moretimes did the damselfly's wings beat in one minute than did thebutterfly's wings?

Approximately 95% of housing prices are between a low price of $133,000 and a high price of $161,000.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable.

Hence the prices within two standard deviations of the mean are given as follows:

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Answer:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

f(x)=ax²+bx+c

Simplify each term.

f(x)=2x²−8x+8+6

Add 8 and 6.

f(x)=2x²−8x+14

Step-by-step explanation:

The equivalent value of the equation A = 1 + 1 = 2

Given data ,

Let the equation be represented as A

Now , the value of A is

A = one plus one

On writing the expression in numerical form , we get

A = 1 + 1

On simplifying , we get:

And , the number line representation of the equation is

The "=" sign and terms on both sides must always be present when writing an equation.

A = 1 + 1 = 2

Therefore , the value of A is 2

where the value of A can be calculated from the distributive property as

A = 2 x 1

On simplifying the expression , we get

A = 2

Therefore , the value of A = 2

Hence , the equation is A = 2

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Step-by-step explanation:

Hello there!!

no need to be panic we will help you, alright.

look solution in picture ok...

sorry for cutting in middle.

Hope it helps...

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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a) The dot product of v and -v is -1.

b) The dot product of v + w and v – w is 2v.w

c) The dot product of v – 2w and v + 2w is 4||w||^2 - 4v.w

(a) For any unit vector v, the dot product of v and -v can be found as follows:

v · -v = ||v||||-v||cos(θ) = ||v||||v||cos(180°) = -||v||^2 = -1, where ||v|| represents the magnitude of the vector v and θ is the angle between the vectors.

Since v and -v are unit vectors, their magnitudes are equal to 1, so ||v||^2 = 1. Thus, the dot product of v and -v is -1.

(b) For any unit vectors v and w, the dot product of v + w and v – w can be found as follows:

(v + w) · (v – w) = ||v + w||||v – w||cos(θ) = (||v||||v|| + 2v · w + ||w||||w||)cos(θ) = 2v · w

where θ is the angle between the vectors v + w and v – w, and v · w is the dot product of v and w.

(c) For any unit vectors v and w, the dot product of v – 2w and v + 2w can be found as follows:

(v – 2w) · (v + 2w) = ||v – 2w||||v + 2w||cos(θ) = (||v||||v|| + 4||w||||w|| - 4v · w)cos(θ) = 4||w||^2 - 4v · w

where θ is the angle between the vectors v – 2w and v + 2w, and v · w is the dot product of v and w.

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Answer: 0.220

Step-by-step explanation:

    First, we will find the total amount of regular or heavy smokers.

         163 regular + 78 heavy = 241 total for these groups

    Next, we will divide this by the total number to find the probability the person selected will be a regular or heavy smoker.

         \(\displaystyle \frac{\text{Outcome we are discussing}}{\text{Total number}} =\frac{241}{1,096} = 0.220\)

Answer:

c

Step-by-step explanation:

(163 + 78) : 1096 = 241 : 1096 =

= 0.219890511 = 0.220

The solution to whether the given parameter is a binomial random variable is;

B: No. There is not a fixed number of trials.

A binomial random variable is a number of successes in an experiment consisting of N trails.

Some of the conditions for a binomial random variable are;

- Can only have two outcomes(yes/no questions).

- Each trial must be independent, that is, the probability of a success is always the same in a trial, and the number of trials is fixed.

- It's probabilities must be between 0 and 1.

For each person, there are only two possible outcomes. It's either they are screened, or not.

However, we don't want to know the number of people screened, which is binomial, we want to know the number of people until 10 are screened, which is inverse binomial. Thus, due to the fact that there is not a fixed number of trials, this is not binomial, and the answer is given by option B.

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Using substitution method, the value of x and y in the system of linear equation are 3 and -4.

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

To solve a system of linear equations, we can use substitution method, elimination method or graphical method.

-7x - 2y = -13 ...eq(i)

x - 2y = 11 ...eq(ii)

From equ(ii)

x - 2y = 11

x = 11 + 2y ...eq(iii)

Put eq(iii) into eq(i)

-7(11 + 2y) - 2y = -13

-77 - 14y - 2y = -13

-77 - 16y = -13

-16y = -13 + 77

-16y = 64

-16y/-16 = 64/-16

y = -4

Put y = -4 into equ(ii)

x - 2(-4) = 11

x + 8 = 11

x = 11 - 8

x = 3

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Answer:

x = - 4

Step-by-step explanation:

∠ FEI and ∠ IED form ∠ FED , that is

∠ FEI + ∠ IED = ∠ FED ( substitute values )

x + 66 + x + 61 = 119

2x + 127 = 119 ( subtract 127 from both sides )

2x = - 8 ( divide both sides by 2 )

x = - 4

Answer:

Angle 1= 106° and Angle 2=74°

Step-by-step explanation:

Angle 2 is 74° because lines a and b are parallel, and since there is a transversal, the 74° angle and angle 2 are corresponding angles.

Angles 1 and angle 2 are supplementary, so you would just do 180° - 74° and you get 106°

Step-by-step explanation:

a. The correct answer is 1) Cumulative frequency.

b. The correct answer is 2) Relative frequency.

c. The correct answer is 4) Cumulative relative frequency.

d. The correct answer is 3) Relative percent.

e. The correct answer is 5) Cumulative percent.

Answer: y = 4x + 1

Step-by-step explanation: the slope is 4 over 1 (the same as just 4, so we are just putting 4) because the points of the line are going up four and over one (and you always add x to the slope). the y-intercept is 1 because that is where the line meets the y axis. :)

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

The average number of hours that adults spend working each day is 8 hours and Ryan is correct because he got the average of 8 right.

We know that,

The sample mean is a statistic that is computed by taking the arithmetic mean of the values of a variable in a sample. If the sample is taken from probability distributions with a shared expected value, the sample mean is an estimator of that value.

The mean is gotten from the formula;

x' = ∑x/n

Number of hours of work per day are; 6, 7, 8, 9 and 10

Thus; sum up all of it

∑x = 6 + 7 + 8 + 9 + 10

∑x = 40

Mean is; x' = 40/5

x' = 8

Since Ryan concluded that the average is 8 hours,

Therefore,

We can say that Ryan is correct.

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Answer:

1/4, 1/4, 6/10, 7/10

Step-by-step explanation:

1/4 = 0.25

7/10 = 0.7

6/10 = 0.6

We can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

What is a derivative of a function?

The derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point. Its calculation, in fact, derives from the slope formula for a straight line, except that a limiting process must be used for curves.

To determine whether the rocket is ascending or descending at a given time, we need to find the derivative of the function h(t) and determine whether it is positive or negative.

The derivative of h(t) is given by h'(t) = -t²+42t+43. This is the rate of change of the height of the rocket at any given time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

At t = 1 second, h'(t) = -1 + 42 + 43 = 44. Since the derivative is positive at t = 1, we know that the rocket is ascending at this time.

Hence, we can determine whether the rocket is ascending or descending by evaluating the derivative at that time. If the derivative is positive, the rocket is ascending. If the derivative is negative, the rocket is descending.

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Answer:

Step-by-step explanation:

street never meet

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

56,000

Step-by-step explanation: the neareat whole number is 6000 so you yust take away the 96 and add two zeros

Answer:

23 and 40

Step-by-step explanation:

Answer:

23-40

Step-by-step explanation:

First, you do 63 - 23, which would be 40. Since 23 to 40 is the simplest form of this ratio, no extra steps are needed. Order is important in ratios, so paperback to hardcover would be a ratio of 23 to 40, or 23-40.

The number of pounds of peanuts needed is 29.167.

Multiply the number of pounds of each type and multiply by the cost per pound to get the total cost of that part contribution to the total. Add them together and set it equal to the final total pounds (50) multiplied by its cost per pound ($2.90)

There are 5 pounds of mixed nuts.

let x = pounds of peanuts

cost of each pound of peanuts is $1.50

45 - x = pounds of cashews

Cost of each pound of cashew is $4.50

This way total pounds = 50

5 pounds($6) + x pounds ($1.50) + (45-x)pounds($4.50) = 50 pounds($2.90)

30 + 1.50x + 202.5 - 4.50x = 145

-3x = -87.5

x = 29.167

Therefore, the number of pounds of peanuts needed is 29.167.

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Disclaimer

The question given by you is incomplete, the abouve asnwer is done as per a similar question, the question is

A merchant has 5 pounds of mixed nuts that cost $30. he wants to add peanuts that cost $1.50 per pound and cashews that cost $4.50 per pound to obtain 50 pounds of a mixture that costs $2.90 per pound. how many pounds of peanuts are needed?

The required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9).

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now given ratio are,

25:4 and 45:10

Now converting the given ratio into fraction,

25:4 = 25/4

and,

45:10 = 45/10

Now for 25/4 we have,

Numerator = 25

Denominator = 4

Now dividing numerator and denominator by 25 we get,

Numerator = 25/25 = 1

Denominator = 4/25

Thus, the complex fraction of 25/4 we get is,

25/4 = 1/(4/25)

Similarly for 45/10

Numerator = 45

Denominator = 10

Now dividing numerator and denominator by 45 we get,

Numerator = 45/45 = 1

Denominator = 10/45 = 2/9

Thus, the complex fraction of 25/4 we get is,

45/10 = 1/(2/9)

Thus, the required answer for 25:4 and 45:10 as a complex fraction is 1/(4/25) and 1/(2/9)

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Answer:

18

Step-by-step explanation:

3 3/8 becomes 27/8.

27/8 x 16/3=18

You have to flip 3/16 since you are dividing.

Answer:18

Step-by-step explanation:

3 3/8 devided by 3/16=18

Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.

Step-by-step explanation:

To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.

Answer:

the afternoon is the right one

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

Answer:

(a) Independent variable

(b) The constant factor is 12

Step-by-step explanation:

Given

\(m(c) = 12c + 80\)

c = campers

m = total cost

Solving (a) What type of variable is the number of campers (c)

The total cost (m) is dependent on the number of campers (c) for its own value.

In other words, if c changes from 5 to say 7, the value of m will also change.

This implies that the number of campers is an Independent variable

Solving (b): Constant factor

This in other words means, rate of change (or slope)

A linear function is:

\(y = ax + b\)

Where a represents the slope

By comparison with: \(m(c) = 12c + 80\)

Hence, the constant factor is 12

Answer:

dependent, changes by a constant factor per camper.

Step-by-step explanation:

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:

????

Step-by-step explanation:

Answer: 5x + 2y ≤ $40; x,y ≥ 0

Step-by-step explanation:

5x + 2y ≤ $40

Technically, this is insufficient since it allows for purchases of negative amounts.

Really, it should be 5x + 2y ≤ $40 and x ≥ 0 and y ≥ 0. That is 3 inequalities.

No begging.  ;)