Another name for plane 2

Answer:

A.y=(t-1998)+b

B. 13,720 Vehicles

Step-by-step explanation:

N/A

Answer:

6x + 10

Step-by-step explanation:

Since this doesn't have an equal sign, all you can do is simplify the expression.

Use the distributive property:

\(2(3x + 5)\\2*3x + 2*5\\6x + 10\)

So the answer is 6x + 10

Answer:

7 and 7

Step-by-step explanation:

It is asking, what 2 numbers when added together equal 14, but when you multiply them together get the largest number that you can.

7+7 = 14

7*7= 49 which is the largest number you can get.

I hope this helped <3

Answer:

y=2/4x+4.5

Step-by-step explanation:

Use rise over run to get 2/4 and the line splits 4 and 5 to get 4.5

Hope this Helps :)

Answer:

Step-by-step explanation:

Unsure

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Answer:

the number could be 0 or 1

Step-by-step explanation:

20x² - 20x = 0

20x(x - 1) = 0

20x = 0

x = 0

x-1 = 0

x = 1

400 yards of fence = total fencing

400 = 2 widths + 2 heights

Since one side (width) is along the river, and the river bank acts as one side of the rectangle, the fence will be used in 3 sides:

400 = w+2h

Solving for h:

400-w=2h

(400-w)/2 = h

h= (400-w)/2 (a)

h= 200-1/2w (simplified)

To express the area:

Area of a rectangle : height x width

Since h = 200-1/2w

A = (200-1/2w) w

A = 200w-1/2w^2 (b)

There is a 0.9944 or 99.44% probability that at least 87 out of 155 students will complete their college placement exams.

To solve this problem, we need to use the binomial distribution. Let X be the number of students who pass the college placement exam out of a total of 155 students. We know that X follows a binomial distribution with n=155 and p=0.63.

We want to find P(X>=87), which is the probability that at least 87 students pass the exam. This can be calculated using the cumulative distribution function (CDF) of the binomial distribution:

P(X>=87) = 1 - P(X<87)

Using a binomial calculator or a software program like R or Python, we can find that P(X<87) = 0.0056. Therefore,

P(X>=87) = 1 - 0.0056 = 0.9944

So the probability that at least 87 out of 155 students will pass their college placement exams is approximately 0.9944 or 99.44%. This is a high probability, which suggests that a large proportion of the students are likely to pass the exam.

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Answer:

Step-by-step explanation:

The volume of this pyramid in cubic inches is 16.

Given that,

The base and height is 8 and 6.

Based on the above information, the calculation is as follows:

The volume is

= 16

Answer:

a) Population of adults who watch local news

b) Population of adults who use cell phones or tablets.

c) They conducted a sample survey

d) I will find the results interesting.

I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Step-by-step explanation:

a) This finding is applicable to the population of adults who watch local news.

This is because the sample will be collected from the population of adults who watch local news to see the percentage that actually get those local news from their cell phones or tablet computers.

b) This finding is applicable to the population of adults who use cell phones or tablets.

The sample will be collected from the population of adults who use cell phones or tablets. A survey can now be carried out to find out what they use their phones or tablets for, whether to search for restaurants or get weather reports.

c) The Pew Researchers conducted a sample survey because a census data cannot contain the information about weather reports, local restaurants or news channel. Precise information can only be gotten from a sample survey.

d) Yes, I will. Having an idea of how large the population of those that search for local restaurants on phones and tablets will enable me to channel my publicity towards this media. I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Given data:

The expression for the class divided into six equal parts is,

Thus, the last option is correct.

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

-4.73

8

±2.306

D. Reject H0; stress affects the menstrual cycle.

Step-by-step explanation:

Samples:

High stress 20 23 18 19 22

Relatively stress free 26 31 25 26 30

Using calculator :

Mean, x1 = 20.4 ; n = 5 ;

Standard deviation, s1 = 2.07

Mean, x2 = 27. 6; n = 5 ;

Standard deviation, s2 = 2.70

The test statistic :

(x1 - x2) / sqrt[(s1²/n1 + s2²/n2)]

(20.4 - 27.6) /sqrt[(2.07²/5 + 2.7²/5)]

-7.2 / 1.523 = - 4.73

Df = n1 + n2 - 2

df = 5 + 5 - 2 = 8

From t-value distribution :

df = 8 ; α = 0.052

Tcritical = +- 2.306

|Tstatistic | > | Tcritical | ; Reject H0

The 36th derivative of f(x) = cos(2x) is \(2^{17}\)* cos(2x).

To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).

Let's start by finding the first few derivatives of f(x) = cos(2x):

f'(x) = -2sin(2x)

f''(x) = -4cos(2x)

f'''(x) = 8sin(2x)

f''''(x) = 16cos(2x)

We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.

Based on this pattern, we can see that the 36th derivative will be:

f^(36)(x) =\((-1)^{17} * 2^{17} *\) cos(2x)

Simplifying this expression, we have:

f^(36)(x) = \(2^{17} * cos(2x)\)

Therefore, the 36th derivative of f(x) = cos(2x) is\(2^{17\) * cos(2x).

It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.

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Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

Answer:

\(\huge\boxed{\sf x = -14}\)

Step-by-step explanation:

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

4x + 8 = 3x - 6

4x - 3x + 8 = -6

x + 8 = -6

x = -6 - 8

\(\rule[225]{225}{2}\)

Answer:

A) 670

B) 192 and 670

C) 670

Answer:

a) 670

b) 192, 670

c) 670

Step-by-step explanation:

670 is divisible by 5 because 670/5=134, also because 670 ends in 0

192 and 670 is divisible by 2 because they both end in even numbers, and also 192/2=96, 670/2=335

670 is divisible by 10 because 670/10=67, and it ends in a 0 as well

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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Answer:

1st figure out how many feet in 1 yard

Then you can take that number <x>

X x 5

Step-by-step explanation:

Answer:

1.67 yards or 5/3

Step-by-step explanation:

I just looked it up

Proportionately, if 3.281 feet equals 1 meter, 400 feet equals 122 meters.

Proportion describes the relative value of a number or quantity when equated to another quantity.

Proportion as a part of a whole is a fractional value.

We depict proportions using fractions, decimals, or percentages like ratios.

Proportionately, if 3.281 feet = 1 meter.

400 feet = 121.91 meters (400/3.281).

Thus, we can conclude that 400 feet will equal 122 meters approximately, given the proportional relationship between feet and meters.

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Answer:

hlohhwwhwuwhwwhwywuyeyeyhee

Answer:

Jac is 6

Step-by-step explanation:

Jill=  J

Jac = 3J

Jon 3(3J)  = 9J

Jon is 16 yaers older than Jill

9J - J = 16.

8J = 16

J = 2       (Jill is 2)

Jack : 3x2 = 6    Jack is 6

Jon :3X6 = 18   Jon is 18  (16 years older than Jill)

Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

“It’s not hard to steal points”.........................................so thx for points....................................bye

Step-by-step explanation:

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8

5. At least 676 employment records, 6.  the proportion of females in the sample is 0.4362, 7. confidence interval is (0.401, 0.471), 8. 90% of those intervals would contain the true population proportion, 9.  cannot conclude .

In statistics, population proportion refers to the proportion or percentage of individuals in a population that have a particular characteristic or attribute of interest.

5. To estimate a percentage of females in the United States labor force to within +/- 5%, with 90% confidence, we need to use the formula:

n = (z² × p × q) / E²

where:

n is the sample size we need to estimate the population proportion

z is the z-score associated with the desired level of confidence (in this case, 90%, so z = 1.645)

p is the estimated proportion of females in the population (we don't know this yet, so we use 0.5 as a conservative estimate)

q is the complement of p (q = 1 - p)

E is the maximum error we are willing to tolerate (in this case, 5%, so E = 0.05)

Plugging in the values, we get:

n = (1.645² × 0.5 × 0.5) / 0.05² = 676

So, the representatives from the Department of Labor should sample at least 676 employment records.

6. The sample size they actually selected is 525, and the proportion of females in the sample is 229/525 = 0.4362.

7. The confidence interval for the population proportion of females in the labor force is:

0.4362 ± 1.645 × √[(0.4362 × 0.5638) / 525] = (0.401, 0.471)

This means that we are 90% confident that the true proportion of females in the United States labor force is between 40.1% and 47.1%.

8. 90% confidence means that if we repeated the sampling process many times and calculated a confidence interval for each sample, about 90% of those intervals would contain the true population proportion.

9. We cannot conclude that the percentage of females in the US labor force is lower than Europe's rate of 46% based on this sample. The confidence interval includes the value of 46%, so it is possible that the true proportion is not significantly different from Europe's rate. However, we cannot say for certain without conducting hypothesis testing.

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