a backyard has an area of 72 square feet. of the following choices, which is the smallest possible perimeter of the backyard?

The possibility that experimental results are due to chance or some factor other than the experimental variable is measured by the p-value.

The p-value is a statistical measure that provides information about the likelihood of obtaining a particular result due to random chance or some factor other than the experimental variable. In experimental design, a null hypothesis is usually assumed, which states that there is no relationship between the independent and dependent variables. The p-value is then used to assess the strength of evidence against this null hypothesis.

A p-value is calculated based on the data obtained from an experiment and the assumptions of the statistical test used. It is a number between 0 and 1, and it represents the probability of obtaining a result as extreme or more extreme than what was actually observed, given that the null hypothesis is true.

To learn more about experimental results click on,

https://brainly.com/question/28463773

#SPJ4

Answer:

Area of the figure= area of the rectangle+ area of the semicircle

=(15×14)+(1/2)π(7)²=210+77=287 square unit

287 square unit is the right answer.

Remember:--- area of the rectangle

=(length×breadth)

and area of the semicircle=π(radius)²/2

Answer:

8

Step-by-step explanation

All you have to do is how many times it goes up. it goes up 8 times so 8 is your answer

Answer:

21

Step-by-step explanation:

you put all those numbers in in order from least to greatest then you get the smaller number and the biggest number -then you subtract them and you have your answer lollll

46 - 25 = 21

Answer:

No, it's not a one-to-one function

Step-by-step explanation:

Given

\(f(x) = round(x)\)

Required

Determine if this function is one-to-one

I'll answer this question using the following illustrations;

Assume x = 4.6

\(f(x) = round(x)\) would be

\(f(4.6) = round(4.6)\)

\(f(4.6) = 5\)

Also assume x = 4.8

\(f(x) = round(x)\) would be

\(f(4.8) = round(4.8)\)

\(f(4.8) = 5\)

More generally;

\(4.5 \leq\ x\leq\5.4\)

Would result in:

\(f(x) = 5\)

Since, there's a always a possibility of f(x) having one value for various values of input x, then we can conclude that the function is not a one-to-one function

The function f(x) = round(x) is not one - to - one since different input values of X could yield the same output.

For instance :

Given that x = 1.4

f(x) = round(x)

f(1.4) = round(1.4)

Output = 1 ( nearest integer)

Since, different input values of X could yield the same the output, then the function is not one - to - one.

Learn more : https://brainly.com/question/4483049?referrer=searchResults

Answer:

Tn =4n+1

Step-by-step explanation:

A. T1 = 7 Rule: add 5

T1 = (5×1) +2 =7

T2 = (5×2)+2 = 12

T3 = (5×3)+2 = 17

T4 = (5×4)+2 = 22

B. T1 = 5 Rule : add 4

T1 = (4×1)+1 = 5

T2 = (4×2)+1 = 9

T3 = (4×3)+1 = 13

T4 = (4×4)+1 = 17

Tn = (4×n)+1 = 4n+1

Answer:

Choice C. \((f-g)(x)=-x^2+17x+7\)

Step-by-step explanation:

Recall that \(f-g\) is defined by

\((f-g)(x)=f(x)-g(x)\)

Therefore we compute

\((f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7\)

Answer:

between 9 and 10

Step-by-step explanation:

Answer: 360000

Step-by-step explanation:yes because they want to reach to faster before the others to come and they have lot of feet that they can use

Answer:

155000 milliliters of water

Step-by-step explanation:

We Know

The platoon drank 155 liters of water.

How many milliliters did the platoon drink?

1 liter = 1000 milliliters

155 liters = 155 x 1000 = 155000 milliliters of water

So, the platoon drank 155000 milliliters of water.

The platoon drank 155,000 milliliters of water.

1 liter = 1000 milliliters

Therefore, 155 liters = 155,000 milliliters

So, the platoon drank 155,000 milliliters of water.

Ans The answer to the question is ###404 bad gateway Step-by-step explanation:

c) Horizon A would be less deep since there would be less topsoil due to erosion.

the soil profile in a mountainous region would typically be different from the one shown in the illustration, because the soil formation process is affected by different factors such as climate, vegetation, topography, and parent material.

In a mountainous region, the soil profile is likely to be thinner and shallower than in flat areas, due to the steep slopes and higher erosion rates. The topsoil horizon (A) may also be thinner or absent in some areas due to erosion or limited plant growth, which can make it difficult for organic matter to accumulate. In addition, the subsoil horizon (B) may be more prominent and closer to the surface due to the leaching of minerals from the upper layers, which can result in a more rocky and mineral-rich soil.

Therefore, the correct answer would be:

c) Horizon A would be less deep since there would be less topsoil due to erosion.

know more about soil visit :

https://brainly.com/question/23813511

#SPJ1

The solution of the exponential equation is x = -1

We want to solve the exponential equation:

2^(3x + 1) = 1/4

If we apply the natural logarithm in both sides of that equation, we will get:

ln( 2^(3x + 1) ) = ln( 1/4)

(3x + 1)*ln(2) = ln(1/4)

3x*ln(2) = ln(1/4) - ln(2)

x = (ln(1/4) - ln(2))/(3*ln(2)) = -1

The value of x is -1

Learn more about exponential equations:

https://brainly.com/question/11832081

#SPJ1

Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

Step-by-step explanation:

\( {x}^{2} - 14x = 164\)

\( {x}^{2} - 14x + 49 = 213\)

\((x - 7) {}^{2} = 213\)

\((x - 7) = \sqrt{213} \)

\((x - 7) = - \sqrt{213} \)

\(x = 7 + \sqrt{213} \)

\(x = 7 - \sqrt{213} \)

Answer:

(1.) 0 (2.) 5.74 (3.) 0.574

The answers are: A)H0: μ1 − μ2 = 0; Ha: μ1 − μ2 ≠ 0

(b)  Means: Company A___50.6___ min.; Company B___52.75___ min.

c)The t-value is -0.30107., The p-value is 0 .764815.

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon

A)H0: μ1 − μ2 = 0

i.e there is no difference between the means of delayed flight for two different airlines

Ha: μ1 − μ2 ≠ 0

i.e there is a difference between the means of delayed flight for two different airlines

(b)

Company A___50.6___ min.

Company B___52.75___ min.

Mean of Company A = x`1= ∑x/n =34+ 59+ 43+ 30+ 3+ 32+ 42+ 85+ 30+ 48+ 110+ 50+ 10+ 26+ 70+ 52+ 83+ 78+ 27+ 70+ 27+ 90+ 38+ 52+ 76/25

= 1265/25= 50.6

Mean of Company B = x`2= ∑x/n =

=46+ 63+ 43+ 33+ 65+ 104+ 45+ 27+ 39+ 84+ 75+ 44+ 34+ 51+ 63+ 42+ 34+ 34+ 65+ 64/20

= 1055/20= 52.75

Difference Scores Calculations

Company A

Sample size for Company A= n1= 25

Degrees of freedom for company A= df1 = n1 - 1 = 25 - 1 = 24

Mean for Company A= x`1=  50.6

Total Squared Difference (x-x`1) for Company A= SS1: 16938

s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75

Company B

Sample size for Company B= n1= 20

Degrees of freedom for company B= df2 = n2 - 1 = 20 - 1 = 19

Mean for Company B= x`2=  52.75

Total Squared Difference (x-x`2) for Company B= SS2=7427.75

s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93

T-value Calculation

Pooled Variance= Sp²

Sp² = ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)

Sp²= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65

s2x`1 = s2p/n1 = 566.65/25 = 22.67

s2x`2 = s2p/n2 = 566.65/20 = 28.33

t = (x`1 - x`2)/√(s2x`1 + s2x`2) = -2.15/√51 = -0.3

The t-value is -0.30107.

The total degrees of freedom is = n1+n2- 2= 25+20-2=43

The critical region for two tailed test at significance level ∝ =0.05 is

t(0.025) (43) = t > ±2.017

Since the calculated value of t=  -0.30107.  does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.

The p-value is 0 .764815. The result is not significant at p < 0.05.

C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

Learn more about Test of hypothesis on https://brainly.com/question/29294940

#SPJ1

9514 1404 393

Answer:

  31 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

With reference to the attached diagram, we have ...

  tan(49°) = BG/GP

  BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m

The height of the building is about 31 meters.

Answer:

  2.  Tenths place

Step-by-step explanation:

When you're concerned with the precision of a sum, the final value must be rounded to the precision of the least-precise contributor.

The numbers contributing to this sum are ...

  7.273, with least significant digit in the thousandth's place.

  -12.4, with least significant digit in the tenths place.

The smaller the place value of the least significant digit of a number, the greater the precision it has. The least-precise number will have the largest place value of its least-significant digit.

  tenths > thousandths, so -12.4 has less precision

First of all, we compute the sum as though every contributor were exact. This is especially important when there are more than two contributors. With only two contributors, you get the same result if you round the more precise number first.

  7.273 -12.4 = -5.127 . . . . . preferred method of finding the sum

  7.3 -12.4 = -5.1 . . . . . . . . . . alternate approach for 2 contributors

Finally, we round that sum to the nearest tenth, reflecting the precision of -12.4:

  sum = -5.1

__

Additional comment

As a general rule, this fixation on precision applies to quantities that are measured, estimated, or rounded.

For example, it doesn't make much sense to report a financial value to the penny if one of the contributors has already been rounded to the nearest hundred-thousand dollars. The amount could already be in error by up to $50,000, so precision to the penny is meaningless.

When working many kinds of problems, it can be useful to report answers to the same precision used for the problem values. In some cases, you are told exactly what precision to use for an answer (nearest integer, tenth, or hundredth). Where you are not told, it usually doesn't make much sense to use 6 significant digits for an answer to a problem with values given as one significant digit. However, it can be sensible to report the answer to 2 or 3 significant digits.

__

Here (in this problem), we're concerned with a sum. When you are computing a product or ratio, the rules are different. In those cases, the (least) number of significant digits in the contributors will determine the number of significant digits in the answer. Where mixed arithmetic (products and sums) is involved, the rounding of the final answer will depend on the final operation:

  a(b+c) . . . the final operation is multiplication

  ab +ac . . . the final operation is addition

As with all computation, the intermediate results should be carried to full calculator precision (unless directed otherwise). Only the final answer should be rounded to the necessary precision.

From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345

To sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.

Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.

-5/2 = -2.5

5.25 = 5.25 (no alteration required)

1 = 1.0 (to simplify analysis, only adding decimal points)

3/4 = 0.75

-8.345 = -8.345 (essentially unchanged)

At this point, we can effortlessly contrast and compare the numbers.

Read more on numbers here:https://brainly.com/question/25734188

#SPJ1

Answer:

They both will finish at the same time.

Step-by-step explanation:

John can finish \(\frac{1}{6}\) of the pizza in 2 minutes.

2 minutes ---> \(\frac{1}{6}\)

1 minutes ---> 0.833

Billy can finish \(\frac{1}{4}\) of the pizza in 3 minutes.

3 minutes ---> 0.25

1 minutes ---> 0.0833

Therefore, they both shall finish at the same time.

Answer:

Step-by-step explanation:

In one pizza, there are 6 sixths and John will take .

2 × 6 = 12 minutes to finish one pizza

In one pizza, there are 4 quarters and Billy will take .

3 × 4 = 12 minutes to finish one pizza.

It takes each one of them 12 minutes and they will finish at the same time.

Answered by: ms115

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}} \implies \cfrac{ 5 }{ 5 } \implies \text{\LARGE 1}\)

A=1/2(b1+b2)h

1/2(7+3)(8)

1/2(10)(8)

5*8

=40

Answer:

Vertex is (-3,2)

Step-by-step explanation:

The vertex is either the absolute minimum or maximum of a function, depending on how the function opens.

In this case, since this absolute value function opens upward, the vertex is the absolute minimum of the function, which is found at (-3,2).

Therefore, the vertex of the absolute value graph is (-3,2).

Answer:

2x3 - x2 - 50x + 25

Step-by-step explanation:

So the first thing you would do is multiply (x - 5)(x + 5)

x2 + 5x - 5x - 25

then you would simplify

x2 - 25

then you would multiply it by 2x - 1

(x2 - 25)(2x - 1)

2x3 - x2 - 50x + 25

so your answer is  

2x3 - x2 - 50x + 25

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

Learn more about quadratic equations by reading:

https://brainly.com/question/1214333

#SPJ1

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

\(y=150(1+0.03)^t\)

\(y=150(1.03)^t\)

The value of painting after double is 300. Substitute y=300.

\(300=150(1.03)^t\)

Divide both sides by 150.

\(2=(1.03)^t\)

Taking log both sides.

\(\log 2=\log (1.03)^t\)

\(\log 2=t\log (1.03)\)

\(t=\dfrac{\log 2}{\log (1.03)}\)

\(t=23.44977\)

\(t\approx 23\)

Therefore, the required number of years is 23.

Answer:

d f i think

Step-by-step explanation:

Answer:

The correct answer is A, D, and F.

Step-by-step explanation:

-7/8, -1/8, and -1 1/4

Answer:

Last month she received a commission of $9,129.75 for selling two houses. One house was priced at $135,850. The other house was priced at ...

Step-by-step explanation: