In the following problem, begin by drawing a diagram that shows the relations among the variables. If w = x2 + y2 - 3z2 and z = 2x2 + y2, find (delta w/delta y)z (delta w/delta z)x (delta w/delta z)y

a) 2.7% of mayflies live at least 26.8 hours.

b) 85% of the mayflies die after approximately 26.2 hours.

a) We can begin by standardizing the value of 26.8 hours:

\(z = \frac{26.8 - 23.7}{1.6} = 1.9375\)

Using a standard normal table or a calculator, we can find that the probability of a standard normal random variable being greater than 1.9375 is approximately 0.027, or 2.7%. Therefore, about 2.7% of mayflies live at least 26.8 hours.

b) We want to find the value of x such that 85% of the mayflies have a lifespan less than x. To do this, we need to find the z-score corresponding to the 85th percentile of the standard normal distribution:

\(z = \text{invNorm}(0.85) \approx 1.04\)

Then we can solve for x:

\(x = \mu + z\sigma = 23.7 + 1.04(1.6) \approx 26.2\)

Therefore, 85% of the mayflies die after approximately 26.2 hours.

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The new system of equations is 2p + 16q = -16 and p + 10q = -10, and they have the same solution with the old because it can be converted

The system of equations is given as

p + 8q = -8

1/2p + 5q = -5

To generate a new system of equations, we can multiply the old equations by 2

So, we have the following computations

2(p + 8q = -8)

2(1/2p + 5q = -5)

Evaluate the products

2p + 16q = -16

p + 10q = -10

They would have the same solutions because the new equations can be converted to the old equations

This is done by dividing the new equations by 2

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Answer:

It is not proportional.

Step-by-step explanation:

9514 1404 393

Answer:

  C +2D = 3s -21

Step-by-step explanation:

Use the substitution property of equality.

  C = s -5

  D = s -8

Then the value of your expression is ...

  C +2D = (s -5) +2(s -8)

  = s -5 +2s -16

  C +2D = 3s -21

\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =240 \end{cases}\implies s=\cfrac{(240)\pi (6)}{180}\implies s=8\pi\)

Answer:

At least 18 chocolates sold to collect $225

Step-by-step explanation:

~ Let's say x ⇒ the number of chocolates, y ⇒ the number of cookies ~

1. We can see that the number of chocolates/ cookies * the cost of chocolates/cookies = the total cost of chocolates/cookies. Provided this, it would be that 3x and 2.5y would represent the cost of chocolates and cookies.

2. It is given that there was $225 sold from chocolates and cookies, so we can say that 3x + 2.5y = 225 from this assumption.

3. That being said it is also known that the cookies were sold to 60 people, so we can assume that 60 cookies were sold out, 1 were person. With this information we can see that 3x ⇒ 3 * 60 = 180 ⇒ cost of cookies sold

4. Now we can substitute this value of 3x into the equation 3x + 2.5y = 225, as such: 3x + 2.5y = 225 ⇒ 180 + 2.5y = 225, and now we can solve for y ~

180 + 2.5y = 225,

2.5y = 225 - 180,

2.5y = 45,

y = 45/2.5,

y = At least 18 chocolates sold to collect $225

Answer: it is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.

Step-by-step explanation: I just took the test.

The correct answer is the frostbite cases and sledding accidents were not randomly selected.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

If the data for the number of frostbite cases and sledding accidents were not randomly selected, then the correlation between them might not be valid.

if the data were only collected during a specific time period when sledding was popular and the weather was cold, then the number of frostbite cases and sledding accidents might be higher than normal.

In this case, the correlation might be due to the common factor of cold weather, rather than frostbite causing sledding accidents.

Therefore, it is important to consider the methodology of the study and the factors that might influence the correlation between frostbite cases and sledding accidents before concluding that frostbite is the main cause of sledding accidents

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When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.

A number is itself divisible by nine if the total of its digits is also divisible by nine.

Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine without remainder.

By utilizing the aforementioned attribute, we can

1 + 3 + 4 + 5 = 9, 18, or 27.

4 +2A = 9, OR 18, OR 27

calculating based on sum equal to 18

2A = 18 - 4

2A = 14

A = 7

therefore 3771 is the number

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Answer:

\(x\approx64.622\text{ inches}\)

Step-by-step explanation:

We can write a proportion that relate the model lengths to the actual length. The traditional format is:

\(\frac{\text{Model Length}}{\text{Scale Factor}}=\frac{\text{Original Length}}{\text{Scale Factor}}\)

Hence, we will substitute 1454 for the “Original Length.”

2in for the “Scale Factor” below the model.

And 45ft for the “Scale Factor” below the original.

Let the model length be x.

This yields:

\(\frac{x}{2}=\frac{1454}{45}\)

Solve for x. Cross-multiply:

\(2908=45x\)

Divide both sides by 45:

\(x\approx64.622\text{ inches}\)

Therefore, the height of the model is about 64.6 inches.

Step-by-step explanation:

solution

we know that,

tower hight = 1454 feet

here

2inch=45 feet

now,

1454 feet=(1454/45)inch

1454 feet =32.31 inch

so,tower is 32.31 inch tall according to model length

this may help you (:

Ronald Reagan's policies as President of the United States had a significant impact on the country, and opinions about the nature of this impact are often divided.

Some people argue that Reagan's policies had a positive effect on the country, pointing to his efforts to reduce government regulation, lower taxes, and increase defense spending as key factors in driving economic growth. Others, however, see Reagan's policies as having a negative impact on the country, particularly in terms of their impact on social programs, environmental protections, and inequality.
One of Reagan's most notable policy initiatives was his effort to reduce government regulation of the economy. Proponents of this approach argue that reducing government regulation helped to spur innovation and entrepreneurship, driving economic growth and creating jobs. However, critics argue that this approach led to increased pollution, reduced consumer protections, and the prioritization of corporate interests over public well-being.
Another key aspect of Reagan's policies was his focus on lowering taxes. Supporters of this approach argue that lower taxes help to stimulate economic growth and job creation, while opponents argue that they primarily benefit the wealthy and contribute to growing inequality.
Reagan's policies also had a significant impact on social programs, including efforts to cut funding for public education, healthcare, and social services. While some argue that these cuts were necessary to rein in government spending, critics argue that they had a devastating impact on vulnerable populations, exacerbating poverty and inequality.
Overall, opinions about the impact of Reagan's policies on the country are deeply divided, with proponents arguing that his focus on deregulation and lower taxes drove economic growth, while critics argue that his policies contributed to growing inequality and environmental degradation. Ultimately, the long-term impact of Reagan's policies will continue to be debated and studied by economists, historians, and policymakers for years to come.

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Answer:

It may help if we could read it

It should be noted that the standard algorithm to solve 249 x 11 will give you a value of 2739.

It should be noted that the standard algorithm simply means the way of multiplication that has to do with partial fractions or multiplication of the numbers in parts.

It should be noted that this is illustrated as multiplying the top number with the bottom number a digit at a time.

Therefore, it should be noted that the standard algorithm to solve 249 x 11 will give a value of 2739. This van be illustrated as:

249 × 11 = (250 × 11) - (1 × 11)

= 2750 - 11

= 2739

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Answer: 16.1 ounces

Step-by-step explanation:

Do 14/.15= 2.1 then 14+2.1=16.1

Answer: Angles 1, 3, 7

Step-by-step explanation:

∠7 is vertical to ∠5

∠1 is corresponding to ∠5

∠3 is opposite interior angle of ∠5, it is also vertical to ∠1

Answer:

Perpendicular.

Step-by-step explanation:

It's perpendicular because one line is crossing the other two, thus making it perpendicular. Have a great day!

The correct option is 1/(n+1).The upper bound for the integral is 1/(n+1).

To determine the upper bound, we can use the fact that the integrand is bounded by its maximum value on the interval. The maximum value of the integrand on the interval [0, 1] is:

f(x) = 5x(1 + x)^(0.5)

At x = 1, f(x) = 5(1 + 1)^(0.5) = 5√2.

Therefore, an upper bound for the integral is:

In ≤ 5√2∫x^n dx

             0

Using integration by parts, we obtain:

In ≤ 5√2[x^(n + 1)/(n + 1)]_0^1

= 5√2/ (n + 1)

Therefore, the upper bound for the integral is 1/(n+1).

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Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

Answer:

X=0

Step-by-step explanation:

1.Remove the parentheses

3x + 5 = 2x + 2 -(x-3)  ->  3x+5=2x+2-x+3

2.Combine like terms

3x+5=2x+2-x+3 -> 3x+5=x+5

3.Cancel Equal Terms

3x+5=x+5 -> (subtract 5 from both sides)  3x=x

(subtract x from both sides) 3x=x ->  3x-x=0

4.Combine like terms

3x-x=0  ->  2x=0

5.Get rid 2 so divide both sides by 2

2x= 0 -> \(\frac{2x}{2}\)=\(\frac{0}{2}\)  ->

x=0

The required solution of the system of equations are x=-6 and y=-10.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The system of equations are

-2x+2y=-8 and -3x+y=8

According to given question we have

Consider the first equation.

-2x+2y=-8

Taking  minus sign common  from both sides we get

-(2x-2y)=-8

2x-2y=8

Taking  2 common  from left sides,  we get

2(x-y)=8

Divide by 2 on both sides we get,

x-y= 4....(i)

-3x+y=8...(ii)

By adding 2 equation we get

-2x=12

x=-6

Put the value of x in Equation (i) we get

x-y= 4

-6-y=4

-y=4+6

y=-10

Therefore, the required solution of the system of equations are x=-6 and y=-10.

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Part A:   70x+50=$250

Part B:   75x-5x+$35=$250

They differ because in Part A they don't lose any money and just gain it, while in part B they lose money, while gaining more in part A.

not 100% sure on Part B

Answer:

360cm3

Step-by-step explanation:

To do this, you can multiply the base (l * w) by the height to determine the volume. This would be 36*10=360. Then remember that it is a 3 dimensional shape, so the valume is cubed.

Answer:

1 food

2 happines

3 live hood

4 help

5 income

Answer:

-2(-11v-4)

Step-by-step explanation:

The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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