E J calls people at random to conduct a survey. So far 40 calls have Ben answered and 120 calls have not What is the approximate probability that someone might answer the next call he makes. A. 75%. B. 1/3. C. 0. 25. D. 0. 4

Answer:

no it is not.

Step-by-step explanation:

%increase = 40% while %loss = about 28.6%

Answer:

15

Step-by-step explanation:

the arrow is showing exactly in-between the 10 and 20 which means it is 15

Therefore , the solution of the given problem of triangle comes out to be CA = 8.94 cm .

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given : A right triangle ,

Area  =16 cm squarea

=> 1/2 * b * h = 16

=> 8*h = 32

= > h  =4

=> 8²+ 4²= CA²

=>  CA² =  64 + 16

=>  CA² =  80

=> CA = √80

=>CA = 8.94 cm

Therefore , the solution of the given problem of triangle comes out to be CA = 8.94 cm .

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Group 1 has a larger standard deviation of 25.6 than Group 2 which has a standard deviation of 1.4.

Standard deviation is a statistical measure that calculates how far away each number in a set is from the mean and thus from every other number in the set.

Standard deviation is calculated as the square root of variance, where variance is the average of squared differences from the mean.

Let's compute the standard deviation of the two groups.

Group 1 has a mean of (35+55+75+95+105)/5=73

Age deviations from the mean (in years) are: -38, -18, +2, +22, +32

Squared deviations from the mean are: 1444, 324, 4, 484, 1024

Variance = (1444+324+4+484+1024)/5 = 654

Standard deviation = √(654) = 25.6

Group 2 has a mean of (60+61+62+63+64)/5=62.

Age deviations from the mean are: -2, -1, 0, +1, +2

Squared deviations from the mean are: 4, 1, 0, 1, 4

Variance = (4+1+0+1+4)/5 = 2

Standard deviation = √(2) = 1.4

Therefore, Group 1 has a larger standard deviation of 25.6 than Group 2 which has a standard deviation of 1.4.

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The required heat equation is u(x, t) = (A×cos(λx) + B×sin(λx)) × exp(-λ²t)

To solve the heat equation in the given interval [-6, 0], we can use the separation of variables method. Let's denote the dependent variable as u(x, t), where x represents the spatial variable and t represents the temporal variable.

The heat equation in one dimension is given by:

∂u/∂t = α ∂²u/∂x²,

where α is the thermal diffusivity constant.

To solve this equation, we assume that the solution can be represented as a product of two functions, each depending on a single variable:

u(x, t) = X(x)T(t).

Substituting this into the heat equation, we have:

X(x)T'(t) = αX''(x)T(t),

where prime (') denotes differentiation with respect to the variable.

Dividing both sides by αX(x)T(t), we get:

T'(t)/T(t) = αX''(x)/X(x).

Since the left side depends only on t and the right side depends only on x, both sides must be equal to a constant, which we'll denote as -λ²:

T'(t)/T(t) = -λ² = αX''(x)/X(x).

Now, let's solve the temporal part of the equation:

T'(t)/T(t) = -λ²

This is a separable ordinary differential equation (ODE), and its general solution is given by:

T(t) = exp(-λ²t).

Next, let's solve the spatial part of the equation:

αX''(x)/X(x) = -λ².

This is also a separable ODE, and its general solution is given by:

X(x) = A×cos(λx) + B×sin(λx),

where A and B are arbitrary constants.

Therefore, the general solution to the heat equation is:

u(x, t) = (A×cos(λx) + B×sin(λx)) × exp(-λ²t).

Since we have the given interval [-6, 0], we can apply appropriate boundary conditions to determine the values of A, B, and λ that satisfy the problem.

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Answer:

£72

Step-by-step explanation:

100% - 40 = 60%

60/100 = 0.6

0.6 * £120 = £72

40/100 = 0.4

0.4 *  £120 = £48

To check:

£72 + £48 =   £120

Hope that helps!

Based on the given temperature data, the forecasted high temperature for today using a three-day moving average is 93°F, and using a two-day moving average is 89°F. The mean absolute deviation for the two-day moving average is 1°F, and the mean squared error is 1. The mean absolute percent error for the two-day moving average is approximately 1.13%.

These metrics provide a way to assess the accuracy of the temperature forecasts and the variability of the actual temperatures from the moving averages.

a) To forecast the high temperature today using a three-day moving average, we take the average of the temperatures from the last three days. So, (95 + 96 + 88) / 3 = 93°F.

b) To forecast the high temperature today using a two-day moving average, we take the average of the temperatures from the last two days. So, (88 + 90) / 2 = 89°F.

c) The mean absolute deviation (MAD) based on a two-day moving average is calculated by finding the absolute difference between each temperature and the two-day moving average, summing up those differences, and then dividing by the number of observations.

The two-day moving average is 89°F. The deviations from the moving average are: |88 - 89| = 1 and |90 - 89| = 1. The sum of these deviations is 1 + 1 = 2. Since we have two observations, the MAD is 2 / 2 = 1°F.

d) The mean squared error (MSE) for the two-day moving average is calculated by squaring the differences between each temperature and the two-day moving average, summing up those squared differences, and then dividing by the number of observations.

The differences are: (88 - 89)^2 = 1 and (90 - 89)^2 = 1. The sum of squared differences is 1 + 1 = 2. Since we have two observations, the MSE is 2 / 2 = 1.

e) The mean absolute percent error (MAPE) for the two-day moving average is calculated by finding the absolute difference between each temperature and the two-day moving average, dividing that difference by the actual temperature, summing up those absolute differences, and then dividing by the number of observations.

The two-day moving average is 89°F. The absolute percent differences are: |88 - 89| / 88 = 0.0114 and |90 - 89| / 90 = 0.0111. The sum of these absolute differences is 0.0114 + 0.0111 ≈ 0.0225. Since we have two observations, the MAPE is 0.0225 / 2 ≈ 0.0113 or 1.13%.

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The probable question may be:

A Canadian tourist travelling to Miami learned that the local temperatures in Fahrenheit for the last week were as follows: 93, 94, 93, 95, 96, 88, 90 (yesterday).

a) Forecast the high temperately today, using a three-day moving average.

b) Forecast the high temperature today, using a two-day moving average.

c) Calculate the mean absolute deviation based on a two-day moving average.

d) Compute the mean squared error for the two-day moving average.

e) Calculate the mean absolute percent error for the two-day moving average.

Answer:

The Definition of Speculative Investments. Speculative investments are long-term investments rooted in a thesis that’s not currently provable —but could become provable in the future.

Step-by-step explanation:

for example nderstanding Speculative Risk. A speculative investment is one where the fundamentals do not show immediate strength or a sustainable business model.

speculative investment.

an investment that carries a high level of risk of loss, or the activity of investing in these types of investment: The more people use housing as a form of speculative investment, the greater the risk of surges and collapses in value.

From the concepts and properties of triangles, m∠BDC is 26°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is equal to 180°.

In the given ΔABD, line segment AD and BD are equal and hence it is an isosceles triangle.

Therefore,

x° + x° + 70° = 180°.

2x° = 110°.

x = 55°.

So, m∠DAB = m∠DBA = 55°.

We know the sum of linear pair of angles is 180°.

Therefore, m∠ABD + m∠DBC = 180°.

55° + m∠DBC = 180°.

m∠DBC = 125°.

Now,

m∠BDC + m∠DCB + m∠CBD = 180.

m∠BDC + 29° + 125° = 180°.

m∠BDC = 26°.

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The attribute being measured is the height of plant seedlings. The unit of measurement is centimeters. There are a total of 6 observations.

The table displays weeks and the plant's height. From the table, it can be seen that the height of the plant increases with the passage of time. Thus, the attribute being measured is the height of plant seedlings.

The number of data points on the table is 6. This is the total number of observations.

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g(-13) = 20 is the correct statement for the given function and its domain.

In functions, outputs are mapped to inputs. The domain of a function is the set of all of its possible inputs. f(x)=x2 has a domain of all real numbers, whereas g(x)=1/x has a domain of all real numbers except for x=0. We can also define special functions with more restricted domains.

Given that the domain of the function G is negative 22 5, So we interpret this statement as follows: That every number in the domain will fall between -20 and 5 And a range of -45 to -5. Therefore, any number returned by this function will fall between -5 and 45. Consequently, we can imagine those on a number line. This is what our domain number line would look like, and I'm probably not including the correct number of tick marks, but it would range from -20 to 5. Therefore, any number that falls within this small range can be a part of our domain. Here's what our range number line would look like. Again, I probably do not have enough checkboxes here, but we simply need to know that if the number falls between -5 and 45 on this number line, then it can be included in the range. So then, let's examine option a. In option a, we are informed that the input is -13 and the output is 20. Therefore, if I go to my input, negative 13 would be in this area of the domain number line and 20 would be somewhere in this area of the range number line. Therefore, both exist. Therefore A is most likely the correct response. But let's double-check the remaining items for safety's sake. Therefore, the input for option B is negative four, which is within our domain, and the output is negative eleven. Which would be beyond our range number line here. Therefore, be cannot be one of our choices. Therefore, for option C it is stated that our input is zero, which would be here, and our output is also zero, which would be here. Therefore, this falls within both of our number lines. However, if we return to the original problem, we find that G of zero equals two when the input is zero. I apologize negative two. A zero input value. The output value is -2. We have been informed that this is a function. Therefore, for each input, there can be only one unique output. Consequently, if our input is already zero and our output is already negative two, it cannot also be positive. Consequently, C. is not the correct answer. Consider therefore option D. Our input for this question is therefore seven. Um Which would in fact be outside. It would not fall within the domain number line. Um Therefore, this immediately eliminates D as a potential answer choice. So A was always the correct answer; I hope this helps!

g(-13) = 20 is the correct statement for the given function and its domain.

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Answer:

the answer is 40

Step-by-step explanation:

I took the test on dradpoint

Answer:

It is a non function.

Step-by-step explanation:

Numbers cannot repeat in functions

Answer:

V=14

Step-by-step explanation:

3v=42 divide both sides by 3. getting v=14

Answer:

my algebra calculator says that x=10.09

the .09 has a line over it btw!

We have that the prime factors of 84 are:

2, 2, 3 & 4.

For the formulas given, we will have:

84 = 7 * 12.

84 = 3 * 4 * 7

84 = 2 * 2 * 3 * 7

The R9,000 loan offer can be analyzed as follows;

A loan is a financial agreement that is made between a lender and a borrower, such that the borrower accepts a certain amount of money provided by the lender, which is to be paid back after a specified period of time, with an interest.

The total amount which has to be paid as repayment for the loan can be obtained by finding the product of the monthly installment and the total number of months to repay the loan:

Total amount Theo pays = R318.92 × 48 = R15308.16

The reasons banks and other financial institutions offer loans to people that did not apply for loans includes;

Theo's investment options can be analyzed as follows;

Option 1: Investment with simple interest calculation

Interest earned = R9,000 × 8% × 4 years = R2,880

The total value of the investment after 4 years = R9,000 + R2,880 = R11,880

Option 2: Investment with compound interest calculation

The total value of the investment after 4 years = R9,000 × (1 + 7%)⁴ = R11,797.16409

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Using the values of the 5th and 95th percentiles of these variables, the bootstrap method may be used to generate the 90% confidence interval for the population standard deviation.

So, a random sample with replacement from the original sample must be taken thousands of times in order to determine the 90% confidence interval for the population standard deviation.

Therefore, using the values of the 5th and 95th percentiles of these variables, the bootstrap method may be used to generate the 90% confidence interval for the population standard deviation.

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Answer:

Step-by-step explanation:

a2 = -2

a + d  =  -2

a + 6d = 7

-5d  =  -9

d  =  9/5

a = -19/5

an  =  a + ( n-1 ) d

an =  -19/5 + ( n-1 ) 9/5

A line that intersects two or more lines in a plane at different points is called a transversal line.

A line is a geometrical figure that has length and can be extended in both directions.

Line is of two types: Straight and curved.

There are other types of lines also:

1. Parallel lines: Regardless of the length of the lines, two lines that run parallel to one another and are separated by the same distance but do not intersect are known as parallel lines.

2. Perpendicular lines: When two non-parallel lines cross at a place, they are said to be intersecting. The point of intersection is the solitary intersection of two lines.

3. Transversal lines: A straight line called a transversal cuts two or more lines, some of which may or may not be parallel. In the idea of geometry, a transversal line intersects two lines in the same plane at two different locations.

Hence, A line that intersects two or more lines in a plane at different points is called a transversal line.

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Answer:

11,590 and 46,360

Step-by-step explanation:

11,590

+ 46,360

_________

57,850

Answer:

Blank 1: 11,590

Blank 2: 46,360

I saw some of the other answer and a finally noticed what their are asking, the step by blanks must be filled so if you multiply 5 by 2318 gives you 11,590 and then you multiply  2 by 2,318 which equals 4,636. You may be wondering why that is because it does not line up, well because 2 in 25 is not the first to the right you add a 0 to the end of the answer which makes it  46,360 and add 11,590 giving you 57,950.

Hope I helped you out! Feel to ask and questions! <3

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

9 ft

Step-by-step explanation:

assuming the 3 was a mistake T'T volume is l x w x h so if the base is l x w then 12 x 14 (168) is the base then divide the volume from the base (1512 / 168) the answer is 9 ft

The probability of a randomly selected injured wrestler visiting a physical therapist is 56%.

To calculate this probability, let's denote the probability of visiting a physical therapist as P(PT) and the probability of visiting a chiropractor as P(C). We are given that 28% of the wrestlers visit both a physical therapist and a chiropractor, so we can write this as P(PT ∩ C) = 0.28. We are also given that 8% of the wrestlers visit neither, so P(neither) = 0.08.

The probability of visiting either a physical therapist or a chiropractor can be calculated using the principle of inclusion-exclusion:

P(PT ∪ C) = P(PT) + P(C) - P(PT ∩ C)

Since P(PT ∩ C) = 0.28, we have:

P(PT ∪ C) = P(PT) + P(C) - 0.28

We are also given that the probability of visiting a physical therapist exceeds the probability of visiting a chiropractor by 16%, so we can write this as:

P(PT) = P(C) + 0.16

Substituting this into the equation for P(PT ∪ C), we get:

P(PT ∪ C) = P(C) + 0.16 + P(C) - 0.28

P(PT ∪ C) = 2P(C) - 0.12

Since P(PT ∪ C) represents the probability of visiting either a physical therapist or a chiropractor, and we know that 8% visit neither, we can write:

P(PT ∪ C) + P(neither) = 1

Substituting the values, we have:

2P(C) - 0.12 + 0.08 = 1

2P(C) = 1.04

P(C) = 0.52

Now, using P(PT) = P(C) + 0.16, we can find:

P(PT) = 0.52 + 0.16

P(PT) = 0.68

Therefore, the probability of a randomly selected injured wrestler visiting a physical therapist is 0.68 or 68%.

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The weight of a piece of luggage that can be checked in, given the use of w to represent the weight, is W < 45.

The statement given is that, " each piece of luggage to be checked in must weigh less than 45 pounds. "

What this means is that the mass of each luggage should not be up to 45 pounds. The weight of the luggage should not be more than 45 pounds and it should not be equal to 45 pounds.

If the weight of luggage was said to be equal or less, then the symbol of equal or less than, which is ≤ would have been used.

However, the weight should be less than 45 pounds and with the weight being w, the expression would be:

W < 45

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The rest of the question is:

Use W to represent the weight (in pounds) of a piece of luggage that can be checked in

Answer:

t =2654.01465 year

Step-by-step explanation:

Given that the​ half-life of​ carbon-14 is 5600 years and if a piece of charcoal made from the wood of a tree shows only 72% of the​ carbon-14 expected in living​ matter.

we know

\(y=a(b)^{t/h}\)

where y= final amount

a= initial amount

b= growth/decay

t= time elapsed

h= half time

plugging the values we get

\(0.72 =(\frac{1}{2})^{t/5600}\\\)

taking log on both side

log 0.72 = t/5600 log(1/2)

solving we get t =2654.01465 year

Answer:

the fraction would be

84/100

Answer:

84/100

Step-by-step explanation:

84% is out of a hundred.

i. The exponential regression equation for this data is

y ≈ 35125.61(0.8276)^x

ii. The value of the car after 9 years is approximately $3,444.20.

To find an exponential regression equation for this data, we can use the form of the equation y = ab^x, where y is the value of the car in dollars, x is the number of years since it was purchased, and a and b are coefficients to be determined.

Using the given data points, we can set up a system of equations:

a b^0 = 18400 (the initial value of the car)

a b^1 = 14593

a b^2 = 12503

a b^3 = 9934

a b^4 = 8490

a b^5 = 7613

a b^6 = 6348

Dividing the second equation by the first, the third by the second, and so on, we get:

b = 14593/18400 = 0.7938 (rounded to four decimal places)

b = 12503/14593 = 0.8554

b = 9934/12503 = 0.7943

b = 8490/9934 = 0.8545

b = 7613/8490 = 0.8967

b = 6348/7613 = 0.8346

Taking the average of these values for b, we get b ≈ 0.8276.

Substituting this value of b into any of the equations above, we can solve for a:

a ≈ 18400/b^0 ≈ 18400

a ≈ 14593/b^1 ≈ 25395.22

a ≈ 12503/b^2 ≈ 31298.57

a ≈ 9934/b^3 ≈ 36475.19

a ≈ 8490/b^4 ≈ 42344.76

a ≈ 7613/b^5 ≈ 48022.39

a ≈ 6348/b^6 ≈ 58468.11

Taking the average of these values for a, we get a ≈ 35125.61.

Therefore, the exponential regression equation for this data is:

y ≈ 35125.61(0.8276)^x

To determine the value of the car after 9 years, we can simply plug in x = 9 into this equation:

y ≈ 35125.61(0.8276)^9 ≈ 3444.20

Therefore, the value of the car after 9 years is approximately $3,444.20.

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The area of the figure is 47.67 \(cm^2\) round to the nearest hundredth.

We can find the area of the half circle with a diameter of 11 cm.

The formula for the area of a circle is A = πr^2, where r is the radius.

Since the diameter is 11 cm, the radius is half of that, which is 5.5 cm.

Substituting the value of r, we get:

A = π(5.5)^2

A = 30.25π

The area of figure is half of the area of the full circle, so we divide by 2:

A = 15.125π

Rounding to the nearest hundredth, we get:

A ≈ 47.67 \(cm^2\)

Thus, the answer is 47.67 \(cm^2\).

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