nfhjdnhikvcdbhvbndhifgnbhidfgnijhdfibhjgdfbhijvbnjidfhunbdfhun

Answer:

The width would be 20 and the length would be 30

Step-by-step explanation:

The false options are A. S is collinear to P and R, and A. MN is the same as MP.

To identify false sentences we must look at the images and their correct description. According to the above we can infer that options A are false in both questions (8 and 9).

In the case of question 8, option A is false because point S is not collinear with points P, Q, and R, this is because it is located on a different line than the other points.

On the other hand, option A of question 9 is also false because the distance between the points MN and MP is not the same, obviously the distance between the points MP is greater than the distance between MN.

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The fraction form of 20% = 1/5

The decimal form of 20% = 0.2

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The number is,

⇒ 20%

Now,

Simply the number in fraction form as;

⇒ 20% = 20/100

           = 2/10

           = 1/5

And, Simply the number in decimal form as;

⇒ 20% = 20/100

           = 2/10

           = 1/5

           = 0.2

Thus, The fraction form of 20% = 1/5

The decimal form of 20% = 0.2

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Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.

Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.

Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.

Therefore, line DM is congruent to line CM by SAS congruence criteria.

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Answer:

3/8

Step-by-step explanation:

there is 3 possible ways to get 1 tail

thh

hht

hth

each has a probability of 1/8

so you add up 1/8+1/8+1/8=3/8

Answer:

Step-by-step explanation:

Javier did not raise the coefficients to the third power

When Javier raised \(x\) to the third power, he wrote that \((x^1)^3=x^4\), but it equals \(x^3\).

In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

Answer:

The slope is 1/5 or 0.2

Step-by-step explanation:

slope is   ΔY/ΔX

ΔX = 3 – -2 = 5

ΔY = 2 – 1 = 1

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Thus, the total length of lap covered to get the seven different obstacles is found as: 52 units.

the Pythagorean theorem is used to calculate the distance between two locations using the distance formula. The Pythagorean theorem can be rewritten as d = √((x2 - x1)²+(y2 - y1)²)  to calculate the separation between any two locations.

Given data:

Points on  y-axis and an x-axis are given,

M(-3,5), F(8,5), G(8,2), H(3,2), I(3,-5), J(-8,-5), K(-8,-2), and L(-3,-2).

Starting and ending point is F.

Points lies between the starting and ending are-

F ,G, H, I, J, K, L, M, F

Total length = sum of all length

d = √((x2 - x1)²+(y2 - y1)²)

FG =  √((8 - 8)²+(2 - 5)²)

FG =  √9

FG =  3

GH =  √((8 - 3)²+(2 - 2)²)

GH  =  √25

GH =  5

HI =  √((3 - 3)²+(2 + 5)²)

HI  =  √49

HI  =  7

IJ =  √((3 + 8)²+(-5 + 5)²)

IJ =  √121

IJ =  11

JK =  √((-8 + 8)²+(-2 - 5)²)

JK =  √9

JK =  3

KL =  √((-8 + 3)²+(-2 + 2)²)

KL =  √25

KL =  5

LM =  √((-3 + 3)²+(-2 - 5)²)

LM =  √49

LM =  7

MF =  √((8 + 3)²+(+5 - 5)²)

MF =  √121

MF =  11

Total length = 3 + 5 + 7 + 11 + 3 + 5 + 7 + 11

Total length = 52 units

Thus, the total length of the lap covered to get the seven different obstacles is found as: 52 units.

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Answer:

960 ways

Step-by-step explanation:

Multiplication Principle:  if there are  n  ways to do one thing and  m  ways to do another, then there are  m x n ways to do both.

That can expand to include three things (or more).

8 x 10 x 12 = 960

Answer:

-59

Step-by-step explanation:

2 is the first digit right after the decimal point. The digit after it is 3, Both digits would round down, therefore meaning that the whole number would still be -59

Answer:

9

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

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.

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She saved 324 number of 20p coins altogether.

And, Halley need 176 more 20p coins to saved £100.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Halley saves up twenty-pence coins.

And, At the last count she had saved £64.80.

Now,

We know that;

Number of 20p coins in £1 = 5

So, Number of 20p coins in £64.80 = 5 × 64.80

                                                       = 324

And, Number of 20p coins in £100 = 5 × 100

                                                      = 500

So, He need number of 20p coins = 500 - 324

                                                      = 176

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Answer:

15-9 will be greater

Step-by-step explanation:

Caroline wants to compare the expressions 15-9 and 9 (-15)

For us to know the result that is greater, we will have to check if the first value is less than or greater than the other. For example

If for a-b

a-b is greater if a>b

a-b is lesser if a<b

Given 15 - 9

Since 15 > 9, this means that 15-9 will be greater compare to 9-15

one simple way to take a peek at this is by looking at the APY value, namely the Annual Percent Yield for each of the choices, and use the one that gives you the higher APY, higher APY, higher bucks.

\(~~~~~~ \textit{Annual Percent Yield Formula} \\\\ ~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1 \\\\ \textit{for the 8\%} \begin{cases} r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2 \end{cases} \\\\\\ \left(1+\frac{0.08}{2}\right)^{2}-1\implies (1.04)^2-1\implies 0.0816~\hfill 8.16\%\)

\(\textit{for the 8.15\%} \begin{cases} r=rate\to 8.15\%\to \frac{8.15}{100}\dotfill &0.0815\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1 \end{cases} \\\\\\ \left(1+\frac{0.0815}{1}\right)^{1}-1\implies (1.0815)-1\implies 0.0815~\hfill 8.15\%\)

well, clearly the first one has a higher APY, so you'd want that one.

The 90% confidence interval for the mean noise level at these airport locations is approximately (148.1, 171.9).

Step 1 of 4:

To calculate the sample mean for the given sample data, we sum all the values and divide by the sample size.

Sample mean = (162 + 176 + 162 + 141 + 159) / 5 ≈ 160.0 (rounded to one decimal place)

Step 2 of 4:

To calculate the sample standard deviation, we need to find the differences between each data point and the sample mean, square those differences, sum them up, divide by the sample size minus 1, and then take the square root.

Deviation from mean: (162 - 160)^2, (176 - 160)^2, (162 - 160)^2, (141 - 160)^2, (159 - 160)^2

Sum of squared deviations = (2^2 + 16^2 + 2^2 + (-19)^2 + (-1)^2) = 590

Sample standard deviation = sqrt(590 / (5 - 1)) ≈ 9.6 (rounded to one decimal place)

Step 3 of 4:

To find the critical value for a 90% confidence interval, we need to look up the t-value in the t-distribution table with (n-1) degrees of freedom. Here, n is the sample size, which is 5.

Degrees of freedom = 5 - 1 = 4

Looking up the t-value for a 90% confidence level and 4 degrees of freedom, we find it to be approximately 2.776 (rounded to three decimal places).

Step 4 of 4:

To construct the 90% confidence interval, we use the formula:

Confidence interval = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))

Confidence interval = 160.0 ± (2.776 * (9.6 / sqrt(5)))

Calculating this expression will give us the lower and upper bounds of the confidence interval.

Confidence interval = 160.0 ± (2.776 * 4.297) ≈ 160.0 ± 11.9 (rounded to one decimal place)

Using the sample mean, standard deviation, and critical value, we constructed a 90% confidence interval for the mean noise level, which is approximately (148.1, 171.9) decibels. This confidence interval provides an estimate of the range within which the true mean noise level at these airports is likely to fall with 90% confidence.

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Answer:

-10.1

Step-by-step explanation:

- 10.1 correct answer.,...........

a) To graph the marginal utility of x, we need to find the derivative of the utility function with respect to x. Given that y=1, the utility function becomes U=x^(1/5). Taking the derivative of U with respect to x, we get dU/dx = (1/5)x^(-4/5). This represents the marginal utility of x.

When we graph the marginal utility of x, we put the marginal utility on the vertical axis and x on the horizontal axis. Since x^(-4/5) is positive for all positive values of x, the graph of the marginal utility of x will have a positive slope that decreases as x increases. The shape of the graph will resemble a downward-sloping curve that approaches zero as x approaches infinity.

b) The MRS (Marginal Rate of Substitution) for this consumer is the rate at which the consumer is willing to trade one good for another while keeping the total utility constant. In this case, the MRS is the negative ratio of the marginal utility of x to the marginal utility of y. Mathematically, MRS = -(dU/dx)/(dU/dy).

Since y is a constant and dU/dy = 0, the MRS simplifies to MRS = -(dU/dx)/0 = undefined. This means that the consumer is not willing to trade any amount of y for x, as the marginal utility of y is zero. The consumer only derives utility from x and does not value y in terms of marginal utility.

The graph of the marginal utility of x will have a positive slope that decreases as x increases. The MRS for this consumer is undefined, indicating that the consumer does not value y in terms of marginal utility.

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Answer:

Three and five twelfths; 3 5/12; 41/12

Answer:

41/12

Step-by-step explanation:

The cube of the difference of 5 times the square of y and 7 all divided by the square of 2 times y is interpretation of expression (5y²-7)³/(2y)²

The given expression is (5y²-7)³/(2y)²

We have to find the interpretation which represents the given expression

y is the variable in the expression.

Minus shows the difference between two terms

The cube of the difference of 5 times the square of y and 7 all divided by the square of 2 times y

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Step-by-step explanation:

QR = ST

⅔x = 0.4

times 3

2x = 1.2

x = 1.2 /2

x = 0.6

0.6

QR = ST

⅔x = 0,4 × 3

2x = 1.2

x = 1.2 ÷ 2

x = 0.6

The two rejection areas in using a two-tailed test and the 0.01 level of significance are:

Option e. Above 2.58 and below -2.58.

A two-tailed test is used when we want to test if the mean of a population is different from a specific value. In this case, we have two rejection areas, one in each tail of the distribution. The 0.01 level of significance means that we have a 1% chance of rejecting the null hypothesis when it is actually true.

To find the rejection areas, we need to look at the critical values for the 0.01 level of significance in a two-tailed test. These values are found in a Z-table or can be calculated using a calculator. The critical values for a two-tailed test and the 0.01 level of significance are 2.58 and -2.58. This means that any value above 2.58 or below -2.58 will be in the rejection areas and will lead us to reject the null hypothesis.

Therefore, the correct answer is e. Above 2.58 and below -2.58.

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Answer:

5%

Step-by-step explanation:

Percent error = (actual - estimated) / actual x 100

(240 - 228) / 240 x 100 = 5%

Answer:

the answer is 5 because that is the difference which is what they are asking.

Step-by-step explanation:

12 -7 =5

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