1. John is making a kite based on the pattern below. About how much binding does John need to cover the edges of the kite?


2. In kite ABCD, m∠EBC=36°. Identify m∠BCD.


3. In kite ABCD, m∠ADE=54°. Identify m∠DAE.

Answer: B, C and E

Step-by-step explanation: the term growing means the value is increasing, and a number multiplied by 1 gives the same number; therefore in order for that number to increase, it need to be multiplied by a bigger number which is greater than 1, in this case it can not be a number less than 0 like 0.85, so all the number which are greater than 1 in the bracket are correct.

the number before the bracket is the population before increasing, so you can substitute any value for t and try out different outcomes, you will get only B, C and E as number greater than the original number

4. To simplify the expression, multiply J by 1 + the rate:

The expression would be j(1.05)

New price = 35(1.05) = 36.75

5. multiply the cost of each ( t-shirt and cd) by the number of cds bought:

Total = 12x + 7.50x

Simplify by adding the price of each together:

Total = 19.5x

Answer:

A.

Step-by-step explanation:

y⁵ ÷ y⁹

= y⁵-⁹

= y-⁴ [ 3rd answer ]

a) Two equivalent expressions to model the purchase made by Mrs. Singh, who bought 9 folders and 9 notebooks at the cost of each folder $2.50 and each notebook $4.00 respectively, are:

b) The total cost of the purchase by Mrs. Singh is $58.50.

Algebraic expressions involve the combination of variables, numbers, constants, and values using mathematical operands (addition, subtraction, division, and multiplication).

The unit cost of folders = $2.50

The unit cost of notebooks = $4.00

The number of folders bought = 9

The number of notebooks bought = 9

Let the number of folders bought = x

Let the number of notebooks bought = y

Folders: 2.50x

Notebooks: 4.00y

Folders: 2.50x = $22.50 ($2.50 x 9)

Notebooks: 4.00y = $36.00 ($4 x 9)

Total costs = $58.50

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I did it! Hope that helps and super sorry about my horrible handwriting. I lost my ipad pen!

Answer:

1/2

Step-by-step explanation:

For each two units that this line moves to the right, it rises one. This means that it has a slope of 1/2. Hope this helps!

Answer:

7/6

Step-by-step explanation:

The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

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Answer:

The best way is to add both prices together to see how much money it really is.

$14 + $27 = $41.

Then see if you have enough money to buy $41 worth of clothes.

Step-by-step explanation:

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Answer:

keep it simple C

Step-by-step explanation:

Answer:

sorry im not sure

Step-by-step explanation:

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

It is already in simplest radical form

Step-by-step explanation:

The variable assigned to strgrade when intscore equals 90 would likely be 'A'.

When the variable intscore equals 90, the corresponding value assigned to the variable strgrade would typically be 'A'. This suggests that a score of 90 is associated with the highest grade achievable in the given context. The specific mapping between integer scores and letter grades may vary depending on the grading system or criteria in place. It is important to note that without further information about the grading scale or specific rules defined within the system, it is difficult to determine the exact value of strgrade assigned to intscore of 90.

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It is not possible that an archer hits the center of the target with 60% of her shots.  

Given:

shoot : 10 times

if it lands heads, then she hits the center of the target

if it lands tails, she doesn't hits the center of the target

What is a fair coin?

A coin is said to be a Fair Coin when it behaves like a generic coin. Fair Coin has the same outputs as the generic coin.

In probability theory and statistics, a sequence of independent Bernoulli trials with probability 1/2 of success on each trial is metaphorically called a Fair coin.

Assuming the coin is fair,

The chance of heads is 50% rather than a 60% chance that she hits the center of the target.

Hence, It is not possible that an archer hits the center of the target with 60% of her shots.  

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:

\( →\sqrt{ - 16} + \sqrt{49} \)

\(→( \sqrt{ - 1} \times \sqrt{16} ) + ( \sqrt{49} )\\=i \sqrt{16}+\sqrt{49} \\ = 4i + 7 \\ = \boxed{7 + 4i}✓\)

Are 5,040 different possible settings for the suitcase lock if all four digits have to be different.

For the first dial, there are 10 possible digits (0 to 9) that can be set. For the second dial, there are 9 remaining digits to choose from (since we cannot repeat the digit from the first dial). For the third dial, there are 8 remaining digits to choose from (since we cannot repeat any of the digits from the first two dials). Finally, for the fourth dial, there are 7 remaining digits to choose from.

Therefore, the total number of possible settings for the suitcase lock with all four digits different is:

10 × 9 × 8 × 7 = 5,040

There are 5,040 different possible settings for the suitcase lock if all four digits have to be different.

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On solving the provided question, we can say that - 6 ears of corn, 3 cans of beans

An algebraic equation of the form y=mx+b, where m denotes the slope and b the y-intercept, is known as a linear equation. When y and x are variables, the aforementioned is referred to as a "linear equation in two variables." Bivariate linear equations are defined as linear equations with two variables. 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples of linear equations.

\(1x3=3 Beans in a can\\ 2x3=6 corn ears\)

Multiply the ratio by 3.

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Answer:

It takes 0.619 hours (approximately 37 minutes) for the van to catch up with the storm.

They have driven 33.43 miles

They will catch up when their distances are equal.

Step-by-step explanation:

The speed of the van is 54 mph, and the speed of the storm is 33 mph. They are going in the same direction, so the relative speed is the difference of their speeds:

relative speed = 54 - 33 = 21 mph

Now, to find the time when the van reaches the storm, we just need to use the equation:

distance = speed * time

13 = 21 * t

t = 13 / 21 = 0.619 hours

The distance traveled by the van is:

distance = 54 * 0.619 = 33.43 miles

The van will catch up when the distances are equal (the distance of the storm is 13 + 33*0.619 = 33.43 miles)

Answer:

use gauth math it really helps you

The four-quarter moving average and centered moving average values for this time series-

Quarter | Average | Overall Average | Adjusted Seasonal Index

1 | 5.67 | 4.875 | 1.16

2 | 3.67 | 4.875 | 0.75

3 | 4.67 | 4.875 | 0.96

4 | 6.67 | 4.875 | 1.37

What is Quarter?

A quarter is a three-month period in a company's financial calendar that serves as the basis for regular financial reports and dividend payments.

a) To calculate the four-quarter moving average, we sum up the values for each quarter over the past four years and divide by 4.

Quarter | Year 1 | Year 2 | Year 3 | Moving Average

1 | 4 | 6 | 7 | -

2 | 2 | 3 | 6 | -

3 | 3 | 5 | 6 | -

4 | 5 | 7 | 8 | -

To calculate the centered moving average, we take the average of the values for each quarter and the neighboring quarters.

Quarter | Year 1 | Year 2 | Year 3 | Centered Moving Average

1 | 4 | 6 | 7 | -

2 | 2 | 3 | 6 | (4+2+3)/3 = 3

3 | 3 | 5 | 6 | (2+3+5)/3 = 3.33

4 | 5 | 7 | 8 | (3+5+7)/3 = 5

b) To compute the seasonal indexes, we need to find the average value for each quarter over the three years.

Quarter | Year 1 | Year 2 | Year 3 | Average

1 | 4 | 6 | 7 | 5.67

2 | 2 | 3 | 6 | 3.67

3 | 3 | 5 | 6 | 4.67

4 | 5 | 7 | 8 | 6.67

To compute the adjusted seasonal indexes, we divide the average value for each quarter by the overall average of all the data points.

Quarter | Average | Overall Average | Adjusted Seasonal Index

1 | 5.67 | 4.875 | 1.16

2 | 3.67 | 4.875 | 0.75

3 | 4.67 | 4.875 | 0.96

4 | 6.67 | 4.875 | 1.37

Therefore, the four-quarter moving average and centered moving average values for this time series are not available based on the given data. The computed seasonal indexes and adjusted seasonal indexes are as shown above.

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Answer:

7(1/2)

Step-by-step explanation:

The time it will take Carley's dad to mow the lawn is 3.3 hours.

Rate is the ratio between two related quantities in different units. Therefore,

The rate Carley do the  lawn = 1 / 5

When they work together they do it the 1 / 2 rate.

Therefore,

let

the hours it takes Carley dad = x hours . Therefore,

1 / 5 + 1 / x  = 1 / 2

x + 5/ 5x = 1 / 2

cross multiply

2(x + 5) = 5x

2x + 10 = 5x

10 = 5x - 2x

10 = 3x

x = 10 / 3

x = 3.3 hours

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Answer:

-6

Step-by-step explanation:

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Step-by-step explanation:

180(n-2)/n=90 ( this is the solution for the 90)

cross multiplying

180n-360=90n

180n-90n=360

90n=360

90n/90=360/90

n=4, the number of sides for the polygon with 90° is 4 sides

Solution for 100°

180(n-2)/n=100

180n-360=100n

180n-100n=360

80n=360

80n/80=360/80

n=4.5

Same applies to the rest 110°,125° ,150°,175°

Using Euler's method with step size 0.1, the value of y(1.4) ≈ 13.2447

To use Euler's method, we first need to approximate the derivative of y at x = 1 using the given initial condition.

y' = 3y + 2xy

y'(1) = 3(1) + 2(1)(1) = 5

So the initial slope is 5, and we can use this to approximate the value of y at x = 1.1, 1.2, 1.3, and finally 1.4.

y(1.1) ≈ y(1) + (1-1) × 5 = 1 + 0.5 × 5 = 3.5

y'(1.1) = 3(3.5) + 2(1.1)(3.5) = 16.45

y(1.2) ≈ y(1.1) + (1.1-1) × 16.45 = 3.5 + 0.1 × 16.45 = 5.1445

y'(1.2) = 3(5.1445) + 2(1.2)(5.1445) = 26.5089

y(1.3) ≈ y(1.2) + (1.2-1.1) × 26.5089 = 5.1445 + 0.1 × 26.5089 = 8.8104

y'(1.3) = 3(8.8104) + 2(1.3)(8.8104) = 44.3427

y(1.4) ≈ y(1.3) + (1.3-1.2) × 44.3427 = 8.8104 + 0.1 × 44.3427 = 13.2447

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I have solved the question in general, as the given question is incomplete

The complete question is:

Use Euler's method with step size 0.1 to estimate y(1.4), where y(x) is the solution of the initial-value problem y' = 3y + 2xy, y(1) = 1

y(1.4)=