y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

Answer:x=0

Step-by-step explanation:

Answer:

0 = 0

True

Step-by-step explanation:

\(8 + 4x = 2x + 8 + 2x\)

Collect like terms

\(8-8 =2x+2x -4x\\\)

Simplify

\(8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0\)

Part A: In this situation, a Type II error would take place if the council failed to reject the null hypothesis even if it was untrue (i.e., less than 40% of children under the age of 5 could pass a swim test).

If the researcher does not reject a null hypothesis that is actually wrong in the population, this is known as a type II error (false-negative). Notwithstanding the fact that type I and type II mistakes cannot be completely prevented, the researcher can lessen their risk by increasing the sample size.

from the question:

Part A: In this situation, a Type II error would take place if the council failed to reject the null hypothesis even if it was untrue (i.e., less than 40% of children under the age of 5 could pass a swim test). This would result in a lost chance to provide these kids with more swim safety training, perhaps placing them in danger of drowning or other swimming-related mishaps.

Part B: We are unable to reject the null hypothesis since the p-value (0.8438) exceeds the significance level (0.05). This indicates that there is insufficient information to draw the conclusion that less than 40% of children under the age of five can pass a swim test. But, since the test only looked at the alternative hypothesis that the fraction is less than 40%, we cannot draw the conclusion that it is exactly 40%.

Part C: One possible defect in the study is the use of a volunteer sample. The children who volunteered to take the swimming test may not be representative of the entire population of children under 5 in Bloomburg City. For example, parents who are more concerned about their children's swimming abilities may be more likely to volunteer their children for the test, leading to a biased sample. To obtain a more representative sample, a random sample of children under 5 could be selected from the population and asked to take the swimming test.

To know more about Type II errors visit:-

brainly.com/question/14152706

#SPJ1

This depends on the number of paths that exist between point a and point b. If there are more than one path, then the number of paths that avoid the point with the surrounding circle will be one less than the total number of paths.

The number of paths from point a to point b that avoid the point with the surrounding circle will depend on the total number of paths between the two points. If there are multiple paths between the two points, then the number of paths that avoid the point with the circle will be one less than the total number of paths.

For example, if there are three paths between a and b, then two of those paths will avoid the point with the circle.

Learn more about abstract reasoning: https://brainly.com/question/17151228

#SPJ4

Congress decides to allocate funds for a new road system, resulting in reduced spending on education and defense for the next two years. This prioritization reflects a trade-off between infrastructure development and investments in other critical sectors.

When Congress decides to prioritize funding for a new road system, it means that resources will be redirected from other areas, such as education and defense. This decision reflects a trade-off where the government chooses to invest in infrastructure development at the expense of reducing expenditures in education and defense sectors.

The impact of reduced education spending can have implications for schools, students, and educational programs. It may result in fewer resources for schools, leading to potential cuts in staff, curriculum, and extracurricular activities. Reduced funding for education can hinder educational opportunities and initiatives aimed at improving student outcomes and educational equity. Likewise, the reduction in defense spending can have consequences for national security and military capabilities. It may limit the resources available for military readiness, training, equipment modernization, and research and development. This reduction in defense spending could potentially impact the military's ability to respond effectively to security threats and maintain a strong defense posture.

Overall, the decision to fund a new road system at the expense of education and defense spending reflects a prioritization of infrastructure development. While investing in infrastructure is important, it is essential to carefully consider the potential consequences and seek a balanced approach that addresses the needs of various sectors for the overall well-being and progress of the country

Learn more about Congress: brainly.com/question/31333444

#SPJ11

The overstatement of ending inventory will result in an understatement of COGS and an overstatement of gross profit for 2018. This, in turn, can impact the accuracy of financial statements and potentially misrepresent the profitability of the company.

If ABC overstates its ending inventory for 2018, it will have a direct impact on the reported amount of cost of goods sold (COGS) for that year.

The COGS is calculated using the following formula:

COGS = Beginning Inventory + Purchases - Ending Inventory

If the ending inventory is overstated, it means that its reported value is higher than the actual value. As a result, the COGS calculation will be affected in two ways:

Overstated Ending Inventory: Since the ending inventory is overstated, the value used in the COGS calculation will be higher than it should be.

This will lead to a lower COGS because the inflated ending inventory value will reduce the amount of inventory that is considered "sold" during the year.

Increased Gross Profit: Since COGS is deducted from net sales to calculate gross profit, a lower COGS due to the overstated ending inventory will result in an increased gross profit. Gross profit is calculated as:

Gross Profit = Net Sales - COGS

Overall, the overstatement of ending inventory will result in an understatement of COGS and an overstatement of gross profit for 2018. This, in turn, can impact the accuracy of financial statements and potentially misrepresent the profitability of the company.

Learn more about COGS at

brainly.com/question/3353918

#SPJ4

Answer:

Andrew has 22 puppies, Carla has 7 puppies.

Step-by-step explanation:

Let's set up an equation.

Carla and Andrew have 29 puppies.

C + A = 29

Andrew has 8 more than twice Carla.

A = 2C + 8

Let's use substitution by plugging A into C + A = 29.

A = 2C + 8 & C + A = 29

C + (2C + 8) = 29

Now, let's combine like terms.

3C + 8 = 29

Subtract 8 from both sides.

3C = 21

Divide both sides by 3.

C = 7

Carla has 7 puppies. Plug in this value back into C + A to find how many puppies Andrew has.

C + A = 29

7 + A = 29

A = 22

Andrew has 22 puppies.

Let's check our work. Plug in Andrew and Carla's number of puppies back into our original equations.

C + A = 29

7 + 22 = 29

29 = 29

Correct!

A = 2C + 8

22 = 2(7) + 8

22 = 14 + 8

22 = 22

Your answer is correct!

Hope this helps!

Answer:

Kindly check explanation

Step-by-step explanation:

Given the question:

Play 1: Quarterback was sacked for a loss of 4 yards

Play 2 : Another loss of 10 yards

Play 3: a gain of 12 yards

Write an addition expression to represent the situation. Then find the sum and explain its meaning.

A loss of 4 yards = - 4

Loss of 10 yards = - 10

Gain of 12 yards = + 12

Addition expression for the scenario :

(-4) + (-10) + 12

Result :

-4 + (-10) + 12

= - 4 - 10 + 12

= - 14 + 12

= - 2

Hence, after two consecutive losses of 4 and 10 yards, the team wins 12 yards on the third play and the aggregate yards lost is reduced to 2 yards.

1.) The value of X would be = 3cm. That is option A.

2.). The value of X (in cm) would be = 4cm. That is option B.

For question 1.)

Given that ∆ABC≈∆PQR

Scale factor = larger dimension/smaller dimension

= 6/4.5 = 1.33

The value of X= 4÷ 1.33 = 3cm

For question 2.)

To calculate the value of X the formula that should be used is given as follows:

PB/PB+BR = AB/AB+QR

where;

PB= 3.2

BR = 4.8

AB = 2

QR= X

That is;

3.2/4.8+3.2= 2/2+X

3.2(2+X) = 2(4.8+3.2)

6.4+3.2x = 16

3.2x= 16-6.4

X= 12.8/3.2 = 4cm.

Learn more about triangle here:

https://brainly.com/question/28470545

#SPJ1

Answer:

She can buy 3

Step-by-step explanation:

15- .08

16- 5.6

17- 7/100

18- 3 1/2

19- 2 4/100

Here is 29 digits:

3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7

I hope this helped you!

The transformed function, after applying the described transformations, is y = 3/x - 4. The resulting function is obtained by shrinking the original function y = (1)/x horizontally by a factor of 3 and shifting it downward by 4 units. This means that the graph of the transformed function is narrower than the original function, and it is shifted downward on the y-axis.

First, let's consider the horizontal shrinking. When a function is shrunk horizontally by a factor of k, the x-values are multiplied by 1/k. In this case, the factor of shrinking is 3, so the x-values will be multiplied by 1/3. Therefore, the transformed function becomes y = (1)/((1/3)x) = 3/x.

Next, let's consider the downward shift. When a function is shifted downward by c units, we subtract c from the y-values. In this case, the shift is 4 units downward, so the transformed function becomes y = 3/x - 4.

Learn more about functions here:

https://brainly.com/question/31062578

#SPJ11

Answer:

A

Step-by-step explanation:

Hope this helps

Have a great day!

Answer:

7

Step-by-step explanation:

The highest power of the given polynomial is 7. Therefore, the degree of the given polynomial is 7.

Answer:

Line 2 for part a

The system of equations for part b

and line 1 for part c

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Notice each side was increased by 4 times

You can set up a ratio of

\(\frac{new}{old}\)

then reduce or divide

The sample size that is needed so that the standard deviation of the sampling distribution is 0.01 grams per mile  is 0.01.

The term "standard deviation refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given mean = 0.9

standard deviation = .2

Standard error = standard deviation of sampling distribution.

\(S= \frac{ standard deviation}{ square root of sample size}\)

Making s = 0.01,

Then we have formula becomes \(0 .01 = \frac{0.02}{ \sqrt{n} }\)

n = sample size.

\(\sqrt{n}\) = \(0.2 / 0.01.\)

n =20

when n = 400,

the standard error will be .2 / sqrt(400)

= 0.2 / 20

= 0.01.

Learn more about standard deviation at;

https://brainly.com/question/475676

#SPJ4

Answer:π(2.5)

Step-by-step explanation:

π(2.5)

Answer:

y = \(\frac{4}{3}\) x + \(\frac{29}{3}\)

Step-by-step explanation:

assuming you require the equation of the perpendicular line.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{3}{4}\) x - 3 ← is in slope- intercept form

with slope m = - \(\frac{3}{4}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{3}{4} }\) = \(\frac{4}{3}\) , then

y = \(\frac{4}{3}\) x + c ← is the partial equation

to find c substitute (- 2, 7 ) into the partial equation

7 = - \(\frac{8}{3}\) + c ⇒ c = 7 + \(\frac{8}{3}\) = \(\frac{21}{3}\) + \(\frac{8}{3}\) = \(\frac{29}{3}\)

y = \(\frac{4}{3}\) x + \(\frac{29}{3}\) ← equation of perpendicular line

The equation of the line is y = (4x +29)/3

The line y = -3/4x - 3 has a slope of -3/4.  A line perpendicular to -3/4 has a slope of 4/3. So the slope of our new line will be 4/3.

We are told that the line goes through the point (-2, 7).  That is x = -2 and y = 7.  Now that we know a point and a slope, we can use the formula:

y2 - y1 = m(x2 - x1)

where,

x1 = -2

y1 = 7

m = 4/3 [slope]

Substituting in the formula,

y2 - 7 = 4/3(x2 - (-2))

y2 - 7 = 4/3*x2 + 4/3*2

3(y2 - 7) = 4(x2) + 8    

3y2 - 21 = 4(x2) +8

3y2 = 4(x2) + 8 +21

3y2 = 4(x2) +29

y2 = (4(x2) +29)/3          

Therefore, the equation of the line is y = (4x +29)/3

To know more about the equation of the line, please refer to the link below:

brainly.com/question/14200719

The completer question is

'Find the equation of the line that is perpendicular to y = -3/4x - 3 and passes through the points (-2,7).'

Answer:

x>5/2

Step-by-step explanation:

4x>10

x>10/4

x>5/2

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:

V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x

To maximize V, we take the derivative of this expression and set it equal to zero:

dV/dx = 12x^2 - 80x + 100 = 0

Solving for x using the quadratic formula, we get:

xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76

The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.

The dimensions of the box with the largest volume are:

Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches

Height = x = 5.76 inches

Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

To  learn  more about volume click here:brainly.com/question/28058531

#SPJ11

Answer: The question seems unclear on what answer is actually wanted however I'll try showing some steps which make the inequality true but in reversed manner.

y > x2 + 3x – 4
y+4 > x2 + 3x
y + 4 - 3x > x2
4 - 3x > x2 - y
- 3x > x2 - y - 4
x < (x2 - y - 4)/-3

The above ways are some inequalities which can show the inequality true

∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
  hope it helped
┗━━━━━━━┛

Answer:

Oymyakon is the coldest permanently-inhabited place on Earth and is found in the Arctic Circle's Northern Pole of Cold. In 1933, it recorded its lowest temperature of -67.7°C.

hope it will help

The amount he would pay to purchase a laptop today that is the same value as the one he saw in the ad is $390.

Cost price: Cost prize is the price at which the goods and services were purchased.

It is given that,

projected price: $400.00, and the laptop will be out on the market in about one year with 2.5% inflation.

Now, if he pays today for a laptop of the same value as the one in the advertisement, his cost will be 2.5% of $400 less, or as follows:

cost price of laptop = $400 - 2.5& x 400

cost price of laptop = 97.5% x $400

cost price of laptop = $390

As a result, the laptop that he needs right now will cost $390.

know more about cost price here :

brainly.com/question/11027396

#SPJ4

To determine the cost allocated to the land, we need to calculate the proportionate cost of the land in relation to the total appraised value of the real estate. Therefore, the cost allocated to the land is $32,500.

The total cost paid for the real estate is $310,000 plus $15,000 in closing costs, totaling $325,000. To allocate the cost to the land, we need to calculate the proportion of the land's appraised value to the total appraised value of the real estate.

The total appraised value of the real estate is the sum of the appraised values of the land, building, and land improvements, which amounts to $35,000 + $105,000 + $210,000 = $350,000.

To calculate the cost allocated to the land, we divide the appraised value of the land by the total appraised value of the real estate and multiply it by the total cost paid:

Cost allocated to land = (Appraised value of land / Total appraised value) * Total cost

= ($35,000 / $350,000) * $325,000

= 0.1 * $325,000

= $32,500

Therefore, the cost allocated to the land is $32,500. This allocation is based on the relative appraised value of the land compared to the total appraised value of the real estate.

Learn more about multiply here:

https://brainly.com/question/23536361

#SPJ11