The average daily temperature in August was 74 degrees. In December, the average daily temperature was 37 degrees . By what percent did the average change?
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Answer:

EF is the chord of K

hope it helped

Answer:

EF is the chord of K

Step-by-step explanation:

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24

24x3.14

75.36

75.36/3.14

= 24 its b

Answer: 36pi(cm)^2 Answer B

Step-by-step explanation:

Answer:

1, 3 and 5 are Functions

Step-by-step explanation:

Tables 2 and 4 have different outputs for the same input and therefor are not functions

The tables where the output is a function of the input are:

First table, third table, and fifth table.

A function is a relation that maps elements from a set (inputs) into another set (output). Such that each input can be only mapped into a single output.

For example, if you look at table 2, you can see that input 4 is mapped into two different outputs, then this is not a function.

Similar for table 4, input 3 is being mapped into two different outputs.

Then these two tables do not represent functions.

Then the tables where the output is a function of the input are:

First table, third table, and fifth table.

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Based on the fact that Sierra wants to purchase a M dozen muffins and B boxes of cinnamon, the inequality to show how many items Sierra can buy is 3.50M + 4.25B ≤ 25

The amount that Sierra can spend at most is $25 which means that the boxes of cinnamon buns and the muffins should not exceed this $25.

The cost of the muffins is $3.50 each so the representation is:

= 3.50M

The cost of the cinnamon buns is 4.25B which can be represented as:

= 4.25B

The inequality is therefore:

3.50M + 4.25B ≤ 25

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A coin is to be tossed 1000 times, the probability that the 785th toss is heads is 1/2.

Hence option c is the correct answer.

A coin is to be tossed 1000 times and the probability of the outcome to be Heads oor Tails is recorded accordingly.

Probability of an event refers to the possibility of the event to occur or in other words, how likely is tthe event to occur. Probability ranges from 0 to 1 as number and 0% to 100% as percentage.

Probability can be calculated with the formula as,

Probability of an event to occur = (Nmber of favourable outcomes) / (Total number of outcomes possible)

Here, when tossing a coin we have two outcomes, Heads and Tails

The number of favourable outcome, that is the outcome is Heads is 1.

Thus the probability that the outcome is a Head = 1/2

When a coin is tossed for 785th time the probability that the head will come up = 1/2 (assuming that the coin is unbiased).

The probability remains unchanged for tossing the coin for the first time and for the 785th time since no number of times the coin is tossed the number of favourable outcome is 1 and total outcomes is 2.

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The limit of the given sequence does not exist.

The sequence with terms given by 1.1 the = (1²) (1 - 005 (++)). an can be represented as {an} = {1.1, 1.1045, 1.109025, 1.11356125, ...}.

To find the limit of this sequence, we need to find the value towards which the terms of the sequence are getting closer and closer as the number of terms increase.

The given sequence is not in a form where we can easily find its limit.

Therefore, let's simplify it first.

1.1 the = (1²) (1 - 005 (++)). an

=> 1.1 = (1²) (1 - 005 (++)).

=> 1 - 0.05n = 1.1 / n²

Taking the limit as n → ∞ on both sides, we get:

lim (n → ∞) [1 - 0.05n]

= lim (n → ∞) [1.1 / n²]

=> 1 = 0

Hence, the limit of the given sequence does not exist.

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Answer:

56 marbles in total

Step-by-step explanation:

32 blue marbles + 24 green marbles

yes what the person above me said

Answer:

25°

Step-by-step explanation:

Since AB = AC then the triangle is isosceles.

Thus the 2 base angles are congruent, that is

base angle = \(\frac{180-130}{2}\) = \(\frac{50}{2}\) = 25°

Answer:

D. 25° hope this helps

Step-by-step explanation:

The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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Answer:

sorry i dont know

Answer:

5x-15=x+13

Step-by-step explanation:

I don't know which equation you want me to simplify, so I assume it is, 5(x – 3) = x + 13?

Answer: 8

56-(n+4)

56-(44+4)

56-48

8

Step-by-step explanation:

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Answer:

7/6

Step-by-step explanation:

multiplicative invers is a number gives you 1 when multiplying it

Answer:

7/6

Step-by-step explanation:

The multiplicative inverse of any number is another number which when multiplied by the original number gives the product as 1.

The multiplicative inverse of 6/7 is 7/6 since the inverse of x is 1/x.

✧What is Multiplicative Inverse✧?

When a number is multiplied by its multiplicative inverse, it should be equal to 1. In other words, the multiplicative inverse of a number is another number, when its product is equal to 1. The multiplicative inverse is also known as “Reciprocal”.

✧Standard Formula✧

The standard form to represent the multiplicative inverse is as follows:-

If “n” is a number, then the multiplicative inverse or reciprocal of a number is “1/n”.  If a number is given in the fractional form “a/b”, then the multiplicative inverse is “b/a”.

Step-by-step explanation:

1 rose is $1.50

and you have$15

15/1.5=10

the number of rose you can buy is 10

Answer:

a

Step-by-step explanation:

\( \frac{5}{y} = \frac{5 + 3 }{y + x} \)

\(5(y + x) = y( 5 + 3)\)

\(5y + 5x = 8y\)

\(5x = 8y - 5y\)

\(5x = 3y\)

\( \frac{x}{y} = \frac{3}{5} \)

\(x = 3\)

\(y = 5\)

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

Margie spent $27.05.

Step-by-step explanation:

1.5 * 2 + 14 * 1.6 + 1 * 1.65 = 27.05.

Answer:

Margie paid $27.05 for her total purchase

Step-by-step explanation:

$2.00/lb × 1.5lbs of tomatoes = $3.00

$1.60/lb × 14lbs of onions = $22.40

$1.65/lb × 1lb of apples = $1.65

$3.00 + $22.40 + $1.65 = $27.05

\(5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} \)

Option A .

\( - 2 \frac{2}{5} \)

The equation that represent the relationship of the coffees is 3x + 5y = 68.

At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.

The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:

where

Therefore, the equation is as follows:

3x + 5y = 68

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Answer:

The answer is -2x+10

Step-by-step explanation:

Hope this helps

The value of n in 1/5n+3/5n=7/9 is 35/36

The equation is given as:

1/5n+3/5n=7/9

Multiply through by 5

n + 3n = 35/9

Evaluate the sum

4n = 35/9

Divide both sides by 4

n = 35/36

Hence, the value of n in 1/5n+3/5n=7/9 is 35/36

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Answer:

BC= 1.7101

Step-by-step explanation:

The following is one way to perform the calculation. It may not be the best way.

Let a represent line BC, and b represent line CA, and c represent line AB.

b = c × sin(β)

= 4.69846

\(a = \sqrt{c^{2} -b^{2} } = \sqrt{52 - 4.69846310392952}= \sqrt{ 2.9244444610128} = 1.7101\)

Answer:

6 3/4 feet

Step-by-step explanation:

Answer:

6 3/4 feet

Step-by-step explanation:

2 1/4 x 3 = 6 3/4

Statement that 95% confidence interval states that 95% of the sample means of specified sample size selected from a population will lie within plus and minus 1.96 standard deviations of population mean is false.

The 95% confidence interval is a range of values that is calculated from sample data and is used to estimate the true population parameter with a certain level of confidence. It provides an interval estimate for the population parameter, such as the population mean.

The value of 1.96 corresponds to the critical value for a 95% confidence interval when the underlying distribution is approximately normal. It is used to determine the margin of error in estimating the population mean. However, it is incorrect to state that 95% of the sample means will fall within plus and minus 1.96 standard deviations of the population mean. The confidence interval provides an estimate of the likely range of the population parameter, not the distribution of sample means.

In reality, the actual proportion of sample means falling within the confidence interval depends on various factors such as the sample size, the population distribution, and the variability of the data.    

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The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer:

No, the teacher did not survey a representative sample of the students in the school. The sample of 30 students that he surveyed had a much higher percentage of students already enrolled in art classes (81%) compared to the overall percentage of students in the school who are studying art (11%). This indicates that the sample may have been biased and not representative of the entire student population. In order to obtain a representative sample, the teacher should have taken steps to ensure that the sample of students he surveyed was representative of the overall student population in terms of characteristics such as enrollment in art classes, age, gender, and other relevant factors.