Mary invests £12,000 in a savings account the account pays 1.5% compound interest per year work out the value of her investment after 2 years.​

Answer:

The triangle is not isosceles

Explanation:

The initial figure is:

Now, the angle with measure 55° and angle A are vertically opposite angles. It means that these angles have the same measure. So, angle A has a measure of 55°.

In the same way. Angle x and B are vertically opposite angles. So, angle B has a measure of x°

Then, the sum of the interior angles of a triangle is always 180°. It means that:

A + B + 60° = 180°

55° + x° + 60° = 180°

Solving for x, we get:

115° + x° = 180°

x° = 180° - 115°

x° = 65°

Finally, a triangle isosceles if two of its interior angles have the same measure. Since the measures of the interior angles of the triangle are 60°, 55°, and 65°, the triangle is not isosceles.

As 3 m/s > 2.61 m/s, We can conclude that Xavier can qualify for the  National Swim Meet as his speed is more than the required qualifying speed.

The distance travelled by an object in relation to the amount of time it takes to travel that distance can be used to define speed. To put it another way, it is a measurement of how quickly an object is moving, but it does not provide direction. The term "velocity" refers to the combination of direction and speed.

Science allows for the calculation of speed. The speed formula, which derives from science, is used to compute various types of speed. The speed formula is

Speed = Distance/Time

Xavier's speed = 9/3 m/s

                          = 3 m/s

Qualifying speed = 60/23 m/s

                             = 2.61 m/s

As 3 m/s > 2.61 m/s, We can conclude that Xavier can qualify for the  National Swim Meet as his speed is more than the required qualifying speed.

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The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.

To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.

However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.

Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).

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Answer:

1. 31.3%

2. 34.35%

3.62.6%

Step-by-step explanation:

There were 131 acoustic guitars, and 41 of them needed neck repair.

41/131 = 0.3130 = 31.3%

There were 262 total guitars serviced by Emely. 60 of them were acoustic and needed a string repaired, and 30 of them ere acoustic and needed repair, so 90 of them were acoustic and did not need neck repair.

90/262 = 0.3435 = 34.35%

There were 131 electric guitars. 48 of them had a broken string and 34 of them needed body repairs. So 82 of them needed either string or body repairs.

82/131 = 0.6260 = 62.6%

Answer: is B  

Find the factors of c that add up to b.

Answer:

425

Step-by-step explanation:

The three-month moving average is calculated by adding up the demand for the past three months and dividing the sum by three.

To calculate the forecast for month four, we need to find the average of the demand over the past three months: 700, 750, and 900.

Step 1: Add up the demand for the past three months:
700 + 750 + 900 = 2350

Step 2: Divide the sum by three:
2350 / 3 = 783.33 (rounded to two decimal places)

Therefore, the forecast for month four, based on the three-month moving average, is approximately 783.33.

Keep in mind that the three-month moving average is a method used to smooth out fluctuations in data and provide a trend. It is important to note that this forecast may not accurately capture sudden changes or seasonal variations in demand.

Answer:

x ≥ 4

good luck on the test bro :)

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

By angle sum property of a triangle :

\(\qquad \sf  \dashrightarrow \: x + 69 + x + 55 + 78= 180 \degree\)

\(\qquad \sf  \dashrightarrow \: 2x +202= 180\)

\(\qquad \sf  \dashrightarrow \: 2x = 180 - 202\)

\(\qquad \sf  \dashrightarrow \: 2x = - 22\)

\(\qquad \sf  \dashrightarrow \: x = - 11\)

So, value of x is -11, now plug the value of x in angle A to get its measure~

\(\qquad \sf  \dashrightarrow \: x + 69 = - 11 + 69 = 58 \degree\)

Hence, Angle A = 58°

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

Answer:

Hope it helps dear.Please let me know

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

Constant, the value of y decreases by 12 as the x increase by 2.

Step-by-step explanation:

First, let's graph the complex number:

The trigonometric form will be given by:

The angle θ here is 225° (5π/4), the r-value will be

Now we have the trigonometric representation:

Therefore the correct answer is the letter D.

Answer:

x≈4.1

Step-by-step explanation:

15.6/2=7.8

Use Pythagorean Theorem

7.8^2+x^2=8.8^2

60.84+x^2=77.44

x^2=16.6

x=√16.6≈4.1

Answer:

C. 1032

Step-by-step explanation:

Answer:

\(\frac{14}{25}\)

Step-by-step explanation:

We want to know what is \(\frac{2}{5}\) ÷ \(\frac{5}{7}\), and we want to write it as a fraction.

When dividing fractions, we actually multiply the first fraction by the reciprocal of the second.

In other words, we "flip" the second fraction and multiply it by the first.

To get the reciprocal / "flip" a fraction, we put the number that is the numerator on the denominator, and the number that is on the denominator onto the numerator.

So, for \(\frac{5}{7}\), its reciprocal is \(\frac{7}{5}\).

Now, we multiply \(\frac{2}{5}\) by \(\frac{7}{5}\).

\(\frac{2}{5}\) × \(\frac{7}{5}\) = \(\frac{14}{25}\)

The fraction cannot be reduced, so the answer is \(\frac{14}{25}\).

The correct answer is "formulate H0 and H1." This comparison helps determine whether there is sufficient evidence to reject the null hypothesis and support the alternative hypothesis.

When testing a hypothesis, the first step is to clearly define the null hypothesis (H0) and the alternative hypothesis (H1). The null hypothesis represents the assumption of no effect or no difference, while the alternative hypothesis represents the hypothesis you are trying to support, which typically suggests the presence of an effect or a difference.

After formulating the hypotheses, the subsequent steps in hypothesis testing are as follows:

Collect data and calculate test statistics: Gather relevant data through observations, experiments, or surveys. Then, analyze the data and calculate the appropriate test statistic based on the nature of the hypothesis being tested. The test statistic depends on the specific hypothesis test being used.

Select an appropriate test: Choose a statistical test that is most suitable for the type of data and the research question at hand. The selection of the test depends on factors such as the nature of the data (continuous or categorical), the number of groups being compared, and the assumptions associated with the test.

Choose the level of significance: Determine the desired level of significance (alpha level) for the hypothesis test. The level of significance represents the maximum probability of incorrectly rejecting the null hypothesis. Commonly used alpha levels are 0.05 (5%) or 0.01 (1%), but it can vary depending on the context and the consequences of making Type I errors.

After completing these steps, further analysis involves comparing the calculated test statistic to the critical value or p-value associated with the chosen level of significance. This comparison helps determine whether there is sufficient evidence to reject the null hypothesis and support the alternative hypothesis.

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(a) A normal curve with a mean of 15 and a standard deviation of 2 has its peak at 15, and the data points are more concentrated around the mean with a smaller spread.
(b) A normal curve with a mean of 15 and a standard deviation of 3 also has its peak at 15, but the data points are more dispersed around the mean, resulting in a wider curve.
(c) A normal curve with a mean of 12 and a standard deviation of 2 has its peak at 12, with data points concentrated around the mean, similar to curve (a) but shifted to the left.
(d) A normal curve with a mean of 12 and a standard deviation of 3 has its peak at 12, with a wider spread of data points around the mean, similar to curve (b) but shifted to the left.
(e) The correct answer choice is: No. The values of μ and σ are independent. The mean and standard deviation of a normal curve can vary independently of each other. A larger mean does not necessarily mean a larger standard deviation, and vice versa.

To sketch a normal curve, we need to plot the points on a graph with the mean as the center point and the standard deviation as the distance from the mean to the points where the curve starts to curve downward. The curve is symmetric on either side of the mean.

(a) For a mean of 15 and a standard deviation of 2, we plot the points (13, 0.02), (14, 0.14), (15, 0.5), (16, 0.84), and (17, 0.98) and draw a smooth curve through them.

(b) For a mean of 15 and a standard deviation of 3, we plot the points (12, 0.02), (13, 0.14), (15, 0.5), (17, 0.84), and (18, 0.98) and draw a smooth curve through them.

(c) For a mean of 12 and a standard deviation of 2, we plot the points (10, 0.02), (11, 0.14), (12, 0.5), (13, 0.84), and (14, 0.98) and draw a smooth curve through them.

(d) For a mean of 12 and a standard deviation of 3, we plot the points (9, 0.02), (11, 0.14), (12, 0.5), (13, 0.84), and (15, 0.98) and draw a smooth curve through them.

(e) No, the values of μ and σ are independent. The standard deviation does not have to increase as the mean increases. For example, if the first normal curve has a mean of 20 and a standard deviation of 1, and the second one has a mean of 10 and a standard deviation of 5, the first one has a larger mean but a smaller standard deviation than the second one.

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Answer:

its "A"

Step-by-step explanation:

A run-on sentence results from two or more complete sentences being connected without any punctuation

Hello!

It's Option A.

Run-on sentences are sentences that aren't properly connected.

Eat your vegetables then you can go to bed.

This is a run-on sentence, as two short sentences are put together, but they aren't connected properly.

Hope this helps!

Do ask me if you have any query.

~A gloomy teen

\(MagicalNature\)

Answer:

M=54x+4y

Step-by-step explanation:

This setup represents Henry Makes 54$ every 4 hours. thus =ling how much money he makes an hour. This would be 9

The probability that Pierre will feel sick today is 0.26.

The probability that Pierre will feel sick today can be found using Bayes' Theorem. It involves finding the probability of an event given the probability of another related event. Here, the probability that Pierre feels sick is the event of interest.

Bayes' Theorem formula is: P(A|B) = P(B|A) * P(A) / P(B), where P(A|B) is the probability of A given B, P(B|A) is the probability of B given A, P(A) is the prior probability of A, and P(B) is the prior probability of B. Applying Bayes' Theorem to this scenario, we have:

Let A be the event that Pierre eats poutine, and let B be the event that Pierre feels sick.

Then, P(B) = P(B|A) * P(A) + P(B|A') * P(A'), where A' is the complement of A.

Since A and A' are mutually exclusive and exhaustive, P(A') = 1 - P(A) = 0.85. Then, P(B) = 0.9 * 0.15 + 0.2 * 0.85 = 0.26. So the probability that Pierre will feel sick today is 0.26.

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Answer:

1/2 hour

Step-by-step explanation:

unbiased

If the expected value of a sample statistic is equal to the parameter it is estimating, we can call the sample statistic:

a. unbiased.

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Tom can drive 24 miles per gallon of gas

The unit rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, the unit rate is one quantity divided by the other quantity

Given that: Tom can drive his truck 360 miles on 15 gallons of gas

Unit rate =  360 miles / 15 gallons

Unit rate = 24 miles per gallon

Therefore, the unit rate is 24 miles per gallon. Tom can drive 24 miles per gallon of gas

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Answer:

  x = 10

Step-by-step explanation:

For the lines to be parallel, the two angles must have the same measure:

  80 - x = 90 - 2x

  x = 10 . . . . . . . . . add 2x-80

The value of x must be 10 to make the lines parallel.

Answer:

The answer would be B (3/2)

Step-by-step explanation:

Answer:

B . 3/2

Step-by-step explanation:

lets take two random points ( it doesn't have to be a specific one but it just has to be on the line.)

(-2,-2) and (0,1)

we have to find the change in our y coordinates divided by our change in the x coordinates.

so.....

-2 - 1  /  -2 - 0

that eqauls to

-3 / -2 = 3 / 2

If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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