How do you solve the following:
−3+ |n-2 | >5

Please help!!!!

Answer:

12 hours

Step-by-step explanation:

set up a proportion:  2.5 inches / 1 hour  equals  30 inches / x

cross-multiply to get 2.5x = 30

divide 30 by 2.5 to get 12

Answer:

+6

Step-by-step explanation:

Easy math

Answer:

6+

Step-by-step explanation:

very easy math

Answer:

≈37.7 feet

Step-by-step explanation:

I'm assuming he goes diagonally.

We can form a triangle with legs 20 feet and 32 feet.

Using the Pythagorean Theorem, we get:

\(20^2+32^2=c^2\\400+1024=c^2\\1424=c^2\\c^2=1424\\c=\sqrt{1424}\\\)

c≈37.7

Answer: 37.7 ft

Step-by-step explanation:

20^2 + 32^2 = C^2 where c squared is the distance of the diagonal distance that  he wants to walk.

20^2 +32^2 =c^2

400 +1024 =c^2

1424 = c^2

c= 37.7359  rounded to the nearest tenth of a foot is 37.7

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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Answer:

You first have to read on the coordinates where the curve and the straight line meet or cuts across

a.) 53

b.) 13

$66,646.40 is the correct answer

The amount that will be in the account after 30 years, to the nearest cent is to be considered as the $66,646.40.

Since

The interest rate be like = 7.75%

The time period = 30

The present value = $7,100

The PMT is = $0

Now the following formula is used;

So,

= -FV(RATE,NPER,PMT,PV,TYPE)

After applying it, the future value should be $66,646.40.

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Answer:

\(9 + 7 = 9 - (-7)\)

Step-by-step explanation:

\(9 - (-7) \: is \: same \: as \: (9) + (7)\)

The indicated unit are is 0.342 kL,4.53 hL.,

1) To convert from dam3 to kL, we need to multiply by 0.001. This is because 1 daL = 0.001 kL, and 1 dam3 = 1000 daL. We can use the following formula to calculate the conversion:

Conversion (kL) = 342 dam3 x (0.001 kL/1 daL) x (1000 daL/1 dam3)

Therefore, the answer is 0.342 kL.

2) To convert from daL to hL, we need to multiply by 0.01. This is because 1 daL = 0.01 hL. We can use the following formula to calculate the conversion:

Conversion (hL) = 453 daL x (0.01 hL/1 daL)

Therefore, the answer is 4.53 hL.

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Answer:

9

Step-by-step explanation:

If I’m understanding you correctly, the answer would be nine.  Any number with a 9 in the one’s place (unit digit) would still have a nine in that place after being cubed.

29³=24,389

69³=328,509

Answer:

Step-by-step explanation:

unit digit of cube of any number will be the unit digit of its last digit

the unit digit of the cube of a number ending with 9 is 9

ex : unit digit of 29³= unit digit of 9³=unit digit of 729 =9

Answer:

  55°

Step-by-step explanation:

When the protractor is aligned with 0 on the inner scale, the angle is measured using the inner scale.

__

The measure of the angle shown is 55°.

The fine detail of the angle value is found on the outer scale. That scale shows the 125 mark being covered by the black arrow, so the angle measure is 180-125 = 55°.

The total value of the future nine payments today is $778,611.

An annuity is when a series of payment is made over a period of time. A beginning annuity is when the payment is made at the beginning of the period. An ordinary annuity is when the payment is made at the end of the period.

Present value is the value today of a series of payment.

Present value = ∑ [payments / (1 + r)]

Where: r = interest rate

Present value of $100,000 = 100,000/ 1.03 + 100,000/ 1.03² + 100,000/ 1.03³ + 100,000/ 1.03^4 + 100,000/ 1.03^5 + 100,000/ 1.03^6 + 100,000/ 1.03^7 + 100,000/ 1.03^8 + 100,000/ 1.03^9 = $778,611

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Answer:

x=15.714

y=5.715

Step-by-step explanation:

Answer:

x=10, y=20

Step-by-step explanation:

okay so to find x, or the way I did it, we just have to look at the top, we know one line is 180 degrees, and we see three angles, 7x,90, and 20

so 90+20+7x=180

and:110+7x=180

therefore: 7x=70

and finally: x=10

To find y also isn't had if we just look at the blue and green lines we see they are intersecting and opposite angles in intersecting lines are congruent meaning they are the same. So we now know that:

5x+2y=90

and we know x=10

so 5x=50

meaning that: 50+2y=90

therefore: 2y=40

and in conclusion y=20

Answer:

57.5

Step-by-step explanation:

Step-by-step explanation:

$1,200 divided by 251.2

hope this helps

Lets break this down.

This is pretty easy, if you just think about it, all we have to do is............. DIVIDE!

So what IS, 1200 by 251.2??

the answer is to your question 4.8

By  null hypothesis there is sufficient evidence at the 5% significance level to purchase the proposed panels.

To determine if there is sufficient evidence to purchase the proposed panels, we can perform a hypothesis test. Let's define the following:

- p: the proportion of all panels that produce an efficiency rating greater than 20%

- p0: the proportion specified in the proposal, which is p0 = 0.18

- n: the sample size, which is n = 140

- x: the number of panels in the sample that produce an efficiency rating greater than 20%, which is x = 32

We want to test the null hypothesis H0: p <= p0 against the alternative hypothesis Ha: p > p0. The significance level is alpha = 0.05.

We can use the normal approximation to the binomial distribution since both np0 and n(1-p0) are greater than 10, where np0 is the expected number of panels that produce an efficiency rating greater than 20% under the null hypothesis.

Under the null hypothesis, the test statistic z is approximately:

z = (x - np0) / sqrt(np0(1-p0))

Plugging in the values, we get:

z = (32 - 140*0.18) / sqrt(140*0.18*0.82) ≈ 1.96

The critical value of z at alpha = 0.05 with a one-tailed test is 1.645. Since our calculated z value is greater than the critical value, we reject the null hypothesis.

Therefore, there is sufficient evidence at the 5% significance level to purchase the proposed panels.

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9514 1404 393

Answer:

  20 oz for $0.60

Step-by-step explanation:

You can determine the least-cost item by comparing costs at the same size. (This can be done using mental arithmetic.)

68 ounces is between 3 and 4 times the size of 20 ounces. If the costs were the same, 68 ounces would cost between 3·$60 = $1.80 and 4·$60 = $2.40. The cost of 68 ounces is closer to $2.40 than 68 is to 80, so we conclude the 20-ounce soda costs less.

The cost of 100 ounces at the 20-ounce price would be 5·$0.60 = $3.00, which is less than the cost of the 100-ounce soda. Again, the 20-ounce soda is cheaper.

The least cost per ounce is the 20-ounce soda.

__

If you like, you can actually find the cost per ounce by dividing the cost by the ounces. Those results are shown in the attached table. The 20-ounce soda costs the least.

Answer:

6

Step-by-step explanation:

Step 1:

16 = 4 + 2x

Step 2:

12 = 2x

Answer:

6 = x

Hope This Helps :)

The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.

Hence option D is the correct option.

Mean is the average value of a given set of data. It is calculated by the formula,

Mean =  {Summation of all the values in the data set} / {Number of observations is the data set}

That is, Mean = {Σ all values in the data set} / {number of observations}

The given data set is as follows,

0,5,30,25,16,18,19,26,0,20,28

The number of observations in the data set is 11.

The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187

Therefore, by applying  the formula of Mean we get

Mean = 187/ 11 = 17

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The correct option is, there is a main effect for Factor A but there is no interaction.

What is two factor anova?

The mean of a quantitative The mean of a quantitative variable is estimated using a two-way ANOVA in relation to the levels of two categorical variables.

Two-way analysis of variance is an extension of one-way analysis of variance in statistics that looks at the impact of two different categorical independent variables on a single continuous dependent variable.

The parallel lines indicates no interaction effect.

For the above problem option 'a' is correct.

There is a main effect for Factor A but there is no interaction

Hence, the correct option is, there is a main effect for Factor A but there is no interaction.

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Complete question:

A two-factor ANOVA is conducted and the data are plotted. The chart shows two parallel lines separated by a distance of 9 points. The lines represent Factor A and the x axis of the chart represents the levels of Factor B. How should you interpret these results?

Select one:

a. There is a main effect for Factor A but there is no interaction

b. There is a main effect for Factor A and there is also an interaction effect

c. There is a main effect for Factor B and there is an interaction effect

d. There is no interaction effect and no main effects

It will take 70 days for the population of bacteria to reach 10,000 from 1000, if it is growing according to the Malthusian model and doubling itself in 10 days.

This can be calculated using the exponential growth formula: N(t) = N0 * (1 + r)^t, where N0 is the initial population size (1000), r is the growth rate (2/10 = 0.2), and t is the time in days (70).

The Malthusian model of population growth is an exponential growth model developed by Thomas Robert Malthus in 1798. It states that the population of a species increases exponentially, doubling every generation, and is limited only by the available resources.

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The probability that the person has a tattoo is 230 out of 995.

We randomly select a person who responded to this survey. The calculation that gives the probability that the person has a tattoo is 230 out of 995.

Probability is a measure of the likelihood of a particular event occurring, typically expressed as a fraction or percentage.

The probability of an event occurring is calculated by dividing the number of favorable outcomes by the number of possible outcomes.

Therefore, the calculation that gives the probability that the person has a tattoo is 230 out of 995.

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Answer:

Step-by-step explanation: c

Answer:

b and c

Step-by-step explanation:

Answer:

14014

Step-by-step explanation:

base of stone pyramid=154

height=91

b×h

154×91=4014

Answer:

20/3 or 6 2/3

Step-by-step explanation: 4/1 times 5/3           multiply and you get 20/3

Answer:

6 2/3

Step-by-step explanation:

Answer:

142.86 miles

Step-by-step explanation:

150 + .35m < 200

150 + .35m -150 < 200-150

.35m < 50

.35m/35 < 50/.35

m < 142.86

The maximum distance I can drive the rv in a day if my budget $200 is, approx. 142 miles

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The cost to rent an rv is $150 per day +  $0.35 per mile

The maximum distance in a day = ?

Budget is $200

So,

The maximum distance in a day ≤ 200

The maximum distance in a day = 150 + 0.35x

Now,

⇒  150 + 0.35x  ≤ 200

⇒   0.35x  ≤ 200 - 150

⇒      x ≤ 142.85

Hence, maximum distance in a day is approx. 142 miles

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The spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.

To determine how much further the spring will stretch when a 0.60 kg block is added to the 1.2 kg block, we need to consider Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position.

Let's assume that the spring is initially stretched by a certain amount x when only the 1.2 kg block is attached. The force exerted by the spring is given by F = kx, where k is the spring constant.

When the 0.60 kg block is added, the total mass becomes 1.2 kg + 0.60 kg = 1.8 kg. The force exerted by the spring remains the same, but the total mass affects the acceleration of the system according to Newton's second law, F = ma.

Using F = ma, we can find the acceleration of the system: F = (1.8 kg)(9.8 m/s^2) = 17.64 N.

Since F = kx, we can rearrange the equation to find x: x = F/k.

Now, if we assume the spring constant k remains constant, the displacement x will increase by a factor of 1.8 kg/1.2 kg = 1.5.

Therefore, the spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.

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It is possible that the number of people visiting by car during this hour is also Poisson, but it depends on the underlying assumptions and conditions.

The Poisson distribution is typically used to model the number of rare events that occur randomly and independently over time or space. It assumes that the events occur at a constant rate, with no memory or influence from previous events, and that the probability of an event occurring in a short time or small area is proportional to the size of that time or area.

If we assume that the number of people visiting during those hours by car is also a rare event, occurring randomly and independently from the number of people visiting on foot, and that the rate of car arrivals is constant and not influenced by past arrivals, then it may be reasonable to model the number of car arrivals using a Poisson distribution.

However, if there are factors that may influence the rate of car arrivals, such as traffic flow, weather conditions, or time of day, then the Poisson distribution may not be appropriate. In addition, if the average number of car arrivals per hour is not small compared to the total number of visitors, then the Poisson distribution may not be a good approximation.

Therefore, it is important to carefully consider the assumptions and conditions before concluding that the number of people visiting by car during this hour is also Poisson.

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Answer:

312 copies

Step-by-step explanation:

100 + 100 = 200

40 + 60 = 100

8 + 4 = 12

200 + 100 + 12 = 312 copies

A correlation of zero (r = 0) between two quantitative variables means that there is no linear relationship between them.

Correlation measures the strength and direction of the linear relationship between two variables. When the correlation coefficient (r) is zero, it indicates that there is no linear relationship between the variables. In other words, there is no systematic pattern or tendency for one variable to change as the other variable changes.

However, it is important to note that a correlation of zero does not necessarily imply that there is no relationship between the variables at all. There could still exist a nonlinear relationship, where the variables are related, but not in a straight line. For example, the variables could follow a curved pattern or exhibit a different type of association. Therefore, even though the correlation coefficient is zero, it does not imply a complete absence of any relationship between the variables.

In conclusion, a correlation of zero between two quantitative variables means that there is no linear relationship between them. However, it does not rule out the possibility of other types of relationships, such as nonlinear or non-monotonic associations.

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