Measure the scissors to the nearest 1/8 inch (look at pic)

A. 3 inches

B. 2 /78 inches

C. 2 5/8 inches

D. 2 6/8 inches

ans. (c) 1/2

given line,

y = 1/2 x -2

we know that the slope form of the line is given by

y =mx+c

comparing both equations we get

m= 1/2

hence, the slope is 1/2

Answer:

The answer to your problem is, B. 0.125

Step-by-step explanation:

Here is something that is simple so you will not forget easily.

( Just replace the numbers like how you shown in fraction )

= [tex]\frac{125}{1000}[/tex]

= 125 ÷ 1000

= 0.125

Simple but effective

0.125 is the answer.

Thus the answer to your problem is, B. 0.125

If you know that a girl plays soccer, then the probability that she also plays basketball = 0.23

The correct answer is an option (c)

Let's assume that event S: a girl plays soccer

event B: a girl plays basketball

Here, the probability that the girl plays soccer would be,

P(S) = P(SB) + P(SB')

where B' means a girl does not play basketball

here, P(SB) = 0.075 and P(SB') = 0.250

So, P(S) = 0.075 + 0.250

P(S) = 0.325

We need to find the probability that a girl plays basketball knowing that she plays a soccer.

i.e., the conditional probability P(B|S)

Using formula for the conditional probability,

P(B|S) = P(BS) / P(S)

           = 0.075 / 0.325

           = 0.23

Therefore, the correct answer is an option (c)

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Find the complete question below.

The surface area of the triangular prism is approximately calculated as: 361.88 mm².

Surface area of any triangular prism = (Perimeter of the triangular base × Length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)(L) + (bh)

Given the following variables:

S1 = 7.21 mm

S2 = 7.21 mm

S3 = 8 mm

L = 14 mm

b = 8 mm

h = 6 mm

Surface area = (7.21 + 7.21 + 8)(14) + (8 * 6)

Surface area = 361.88 mm²

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Hence, after 40 years, Davey will have $1,476,289.64 in his retirement account as n = the number of cycles.

A problem-solving strategy known as the unitary technique is determining the worth of one unit of such a quantity and utilising that value to determine the value of an other number of units related to that quantity. For issues where the price of one unit is given and the value of some other quantity is needed, it is a proportionality strategy. The unitary method's fundamental principle is to establish a ratio between two numbers, where one of the numbers is represented in the form of one unit while the other quantity is defined in terms of a greater number of units.

given

If Davey doesn't add any more money to his retirement account for the next 20 years, it will increase to:

[tex]FV = P * (1 + r)^n[/tex]

where FV is the lump sum's future value

P is the lump sum's present value, which in this example is $214,111.26.

R is the annual interest rate, which in this case is 9.35%.

n = the number of cycles (in this case, 20 years)

The following equation can be used to determine Davey's retirement account's potential value after 40 years:

[tex]FV = 214,111.26 * (1 + 0.0935)^20 = $1,476,289.64[/tex]

Hence, after 40 years, Davey will have $1,476,289.64 in his retirement account as n = the number of cycles.

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Step-by-step explanation:

Tan 20 = 50 / d

d =  50 / tan 20   = 137 m

The volume of the cheese head is 192 cubic inches.

Explain the term volume

Volume refers to the amount of space that an object or substance occupies in three dimensions. It is typically measured in units such as cubic meters or cubic feet. The volume of an object can be calculated using various formulas, depending on its shape and dimensions.

According to the given information

The volume V of a triangular prism is given by the formula:

V = (1/2) * b * h * L

In this case, the base of the triangle is 12 inches, the height of the triangle is 8 inches, and the length of the prism (depth of the 3D shape) is 4 inches. Substituting these values into the formula, we get:

V = (1/2) * 12 * 8 * 4

V = 192 cubic inches

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Therefore , the solution of the given problem of unitary method comes out to be option C The lengths of side an are 2.5 inches, side b is 5 inches, and side c is 13 inches.

Use the tried-and-true fundamental method, the real variables, and any useful information you learn from the broad and specific questions to complete the assignment. Customers may be given another chance to taste expression the products in response. If these improvements don't happen, we'll lose out on significant expression advances in programming understanding.

Here,

We may calculate the side lengths of the physical object using the following formulae given the scale factor of 2:1:

Drawing to scale: Side a: 11 inches

8 inches on side B.

3 inches on side C.

real thing

11 inches by two equals 22 inches on side a.

Side B: 8 inches times two equals 16 inches

3 inches by 2 equals 6 inches on side C.

B. Side a: 26 inches in the scale drawing.

20 inches on side B.

10 inches on side C.

real thing

Side a: 2 times 26 inches equals 52 inches.

Side B: 20 inches times two equals 40 inches

20 inches are equal to 10 inches on side C.

C. Side a: 2.5 inches in the scale drawing.

5 inches on side B.

6.5 inches on side C.

real thing

2.5 x 2 = 5 inches on side a.

Side B: 5 inches times two equals 10 inches

6.5 inches by two equals 13 inches on side C.

So, the appropriate response is:

C. The lengths of side an are 2.5 inches, side b is 5 inches, and side c is 13 inches.

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Answer: 7/9

Step-by-step explanation: 3 + 4 = 9

add the /9 = 7/9

To construct a confidence interval for the proportion of defectives, we should use the plus four method.

Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes. 

The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.

To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.

This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.

The equation for the certainty interim utilizing the also four strategies is:

p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)

where:

p is the test extent (number of defectives/test estimate)

zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2

n is the test estimate (counting the included four nonexistent perceptions)

Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.

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Based on the given options and the information provided, the missing answer for "Reason 3" is option D, ASA.

The proof mentioned is based on the fact that the two triangles have two pairs of congruent angles and one pair of congruent sides.

This corresponds to the criteria for the ASA postulate, which states that if two triangles have two pairs of congruent angles and one pair of congruent sides, then the triangles are congruent.

Therefore, by using the ASA postulate, we can conclude that the two given triangles are congruent.

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Answer: Assuming a significance level of 0.05 for each hypothesis test, the probability of committing a Type I error (rejecting the null hypothesis when it is actually true) in any given test is 0.05.

Therefore, the expected number of Type I errors in 1,900 hypothesis tests is:

Expected number of Type I errors = (0.05) x (1,900) = 95

So, we would expect to commit a Type I error about 95 times in 1,900 hypothesis tests, assuming the null hypothesis were true.

Step-by-step explanation:

Answer: 71

Step-by-step explanation: to get the answer you have to know that all the angles of a triangle have to add up to 180 so therefore you add the angles they gave you and then you minus them from 180 and you get 71

The sixth and seventh letters "NO" become the 15th and 14th letters in the alphabet respectively when shifted by 11 positions, decrypt to "E" and "N" respectively. Therefore, the decrypted plaintext is "CSPAEN".

what is decrypted plaintext ?

The decrypted plaintext is the original message that was encrypted using a cipher, which has now been converted back to its original form using the appropriate decryption technique.

In the given question,

The given ciphertext "ZYJGKNO" can be decrypted using a times-11 cipher as follows:

The first letter "Z" becomes the third letter in the alphabet when shifted by 11 positions, so it decrypts to "C".

The second letter "Y" becomes the 24th letter in the alphabet when shifted by 11 positions, so it decrypts to "T".

The third letter "J" becomes the 18th letter in the alphabet when shifted by 11 positions, so it decrypts to "S".

The fourth and fifth letters "GK" become the 16th and 10th letters in the alphabet respectively when shifted by 11 positions, so they decrypt to "P" and "A" respectively.

The sixth and seventh letters "NO" become the 15th and 14th letters in the alphabet respectively when shifted by 11 positions, so they decrypt to "E" and "N" respectively.

Therefore, the decrypted plaintext is "CSPAEN".

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Answer:

ΔABC and ΔDEF are similar by (AA).

option (2)

Step-by-step explanation:

Here to test if the two triangles are similar based on the information given I will attempt to see if they are similar using

Angle-Angle (AA) Similarity Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Δ = 180°

therefore using the givens:

m∠CAB = 18°

m∠ABC = 110°

m∠ACB = 180°-110°-18° = 52°

now for ΔDEF

because we know corresponding parts of similar triangles are proportional

∠DEF  ≅  ∠CAB

and because m∠ACB = 52° and m∠FDE = 52°

∠FDE  ≅  ∠ACB

Therefore by AA, we have proven that these two triangles ΔABC and ΔDEF are similar.

so option (2)

Answer:

20 miles

Step-by-step explanation:

1 hr= 2.8 miles

7hrs=2.8×7

2.8×7= 19.6

19.6 to 1dp is 20

The value of the identities are;

1. sin M = 3√39/20

2. sin M = √3/5

3. sin M = 3√19/14

4. sin M = √3/2

The different trigonometric identities and their ratios are written as;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the information given, we have;

1. opposite = 3√39

Hypotenuse = 20

Then, sin M = 3√39/20

2. Opposite = 4√3

Hypotenuse = 20

sin M =  4√3/20

Divide the values

sin M = √3/5

3. The Opposite side = 3√19

Hypotenuse = 14

sin M = 3√19/14

4. Opposite = 6√3

Hypotenuse = 12

sin M =  6√3/12

Divide the values

sin M = √3/2

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Answer:

225

Step-by-step explanation:

1 1/4 can be put into decimal form:

1.25

So the equation would now be

1.25 times 180

use a calculator:

225

Answer: 225

1 1/4 x 180 = 225

Answer:

Step-by-step explanation:

To solve this problem, we can use the formula:

distance = rate x time

Since Tina bicycles at a constant speed, we can simplify the formula to:

distance = speed x time

For the first 2 hours, Tina bicycles at a constant speed, so the distance she travels is:

distance = speed x time = s x 2

After taking a 1-hour break, Tina continues to bicycle at the same speed for another 2 hours, so the distance she travels is:

distance = speed x time = s x 2

Therefore, the total distance Tina travels over the 5-hour period is:

total distance = 2s + 2s = 4s

This means that the total distance Tina bicycles is directly proportional to the speed at which she travels. In other words, if Tina travels twice as fast, she will cover twice the distance in the same amount of time.

With this in mind, we can eliminate choices (A) and (B), which show linear relationships between distance and time. Since Tina is traveling at a constant speed, the graph of her distance should be a straight line with a positive slope.

Choice (C) shows a straight line with a positive slope, but the slope is too steep. This graph would indicate that Tina is traveling at a much faster speed than she actually is.

Choice (D) shows a straight line with a positive slope that is not as steep as (C). This graph accurately represents Tina's constant speed and shows the increase in distance after the break. Therefore, the correct graph is (D).

Example

It took Markus half an hour to drive home from work.  He averaged 34 miles per hour.  How far does Markus live from his work?

Solution

We are given that it takes 1/2 an hour for the trip.  This is a time:

       t  =  1/2

We are given that he averages 34 miles per hour.  This is a rate:

       r  =  34

We are asked how few he has traveled.  This is a distance.  We use the d=rt equation:

       d  =  rt

           =  (34)(1/2)

           =  17

Markus lives 17 miles from work.

Answer:

12000 In 12 days

Step-by-step explanation:

12÷4=3

4000×3=12000

A value of 26 is 2.5 standard deviations away from the mean.

To find the number of standard deviations away from the mean, we can use the formula:

z = (x - μ) / σ

where x is the value we want to convert to a z-score, μ is the population mean, and σ is the population standard deviation.

In this case, the value we want to convert is x = 26, the population mean is μ = 16, and the population standard deviation is σ = 4. Substituting these values into the formula, we get:

z = (26 - 16) / 4 = 2.5

This means that the value of 26 is 2.5 standard deviations away from the mean. Since the z-score is positive, we know that the value of 26 is above the mean. Therefore, the answer is option D, 2.5.

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Based on the equation 441 + b² = 3011.81, the value of b is equal to 50.7032.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

Based on the given equation, we have the following;

441 + b² = 3011.81

By subtracting 441 from both sides of the equation, we have the following:

441 + b² - 441 = 3011.81 - 441

b² = 3011.81 - 441

b² = 2570.81

b = √2570.81

b = 50.7032.

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Answer:

6/6=1

Step-by-step explanation:

Answer:

y = -5x + 14 is the correct equation.

If the degree of freedom is 24, your sample size when conducting a t-test for dependent means must be 25. Option C is the correct answer.

The sample size when conducting a t-test for dependent means depends on the specific study design and the level of significance desired, and cannot be determined solely based on the degrees of freedom.

However, if we assume that the sample size is equal for both groups, then the formula to calculate the degrees of freedom for a t-test for dependent means is:

df = n - 1

Where "n" is the number of pairs of observations in the sample.

Therefore, if the degree of freedom is 24, then the number of pairs of observations in the sample would be:

n = df + 1 = 24 + 1 = 25

Hence, the answer is 25.

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The rounded number to 1 significant figure is 10000m.

Significant figures are a way of indicating the precision of a measurement or calculation. They represent the digits in a number that are known with certainty, plus one additional digit that is estimated. The rules for determining significant figures include:

Significant figures are important because they allow us to communicate the accuracy and precision of a measurement or calculation. By using the appropriate number of significant figures, we can avoid misleading others with inaccurate or imprecise information.

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Answer:

x=2

Step-by-step explanation:

This is a system of equations that we can solve by using substitution.

We know that y=7. We know that y is also equal to 8x-9.

Since y is equal to both 7 and 8x-9, this must mean that 7 is also equal to 8x-9.

Let's set them equal and solve for x, like so:

[tex]y=8x-9=\\7=8x-9=\\16=8x=\\2=x[/tex]

So, x=2.

Answer:

The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Answer: To find the coordinates of F' and G', we need to reflect points F and G across the line y = 5, since point D is located on this line.

For point F, the y-coordinate changes from 11 to -1, since the distance between the line y = 5 and point F is 6 units (2 times the distance between D and the line). Therefore, the coordinates of F' are (3,-1).

For point G, the y-coordinate changes from 8 to 2, since the distance between the line y = 5 and point G is 3 units (1.5 times the distance between D and the line). Therefore, the coordinates of G' are (2,2).

Thus, the coordinates of F' are (3,-1) and the coordinates of G' are (2,2).

Answer:

PEMDAS. Division first. 68/5 is 13.6. Subtract 13.6 from 23 and the answer is 9.4. Therefore J = 9.4

Step-by-step explanation: