find the indicated iq score. the graph depicts iq scores of adults and those scores are normally distributed with a mean of 100 and a standard deviatio of 15 the shaded are under the curve is 0.5675

Step-by-step explanation:

that would form a triangle

using tan

TOA tan = opp/adj

tan38 degree = 20/x

tan 38 =0.7813

so 0.7813 = 20/x

=cross multiply

= 0.7813x =20

divide both sides by 0.7813

so 20/0.7813

= 25.5983

which is 3 to the nearest tenth

The height of the tree is 20.6 feet.

To solve problems of heights and distances, we use trigonometric ratios determining the given case by geometric shapes.

We are given the following information: John who is 5 ft. tall is standing at a distance of 20 ft. from a tree, and you measure the angle of elevation to be 38°. We are asked to find the height of the tree.

To solve the problem, we will use heights and distances.

First, we define a figure:

Let AD be John, such that AD = 5 ft.

Let BE be the tree with its height = h ft.

The distance between John and the tree is determined by DE = 20 ft.

We drop a perpendicular from point A to BE at point C.

Now, ADEC is a rectangle. Hence,

CE = AD = 5 ft.

AC = DE = 20 ft.

We join A and B, to complete the right-angled triangle ACB, with ∠ACB = 90°, ∠BAC = 38° (the given angle of elevation).

In ΔACB,

AC = 20 ft. (already derived)

BC = BE - CE = h-5 ft. (∵ BE = height of the tree h, CE = 5, already derived)

Now, in ΔACB,

tan 38° = BC/AC = (h-5)/20

or, h-5 = 20*tan38° = 20*0.781286 = 15.6257

or, h = 15.6 + 5 = 20.6257.

∴ h = 20.6 (correct to the nearest tenth)

So, the height of the tree is 20.6 feet.

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Answer:

All of the points would be eight places lower in the y value

Step-by-step explanation:

Lets check by putting 8 in the place of x y= 8^2  which equals 64, that means that y equals 64, then do the second equation y = 8^2 - 8 which equals 56, which means y equals 56, 64 minus 56 equals 8 so they have a difference of 8.

Answer:

107

Step-by-step explanation:

The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.

This allows us to do 180 - 73 = 107

x would be 107.

To make the function f(x) = e^(-1/x²) differentiable on (-∞, +∞), the value of a that satisfies this condition is a = 0.

In order for f(x) to be differentiable at x = 0, the left and right derivatives at that point must be equal. We calculate the left derivative by taking the limit as h approaches 0- of [f(0+h) - f(0)]/h. Substituting the given function, we obtain the left derivative as lim(h→0-) [e^(-1/h²) - 0]/h. Simplifying, we find that this limit equals 0.

Next, we calculate the right derivative by taking the limit as h approaches 0+ of [f(0+h) - f(0)]/h. Again, substituting the given function, we have lim(h→0+) [e^(-1/h²) - 0]/h. By simplifying and using the properties of exponential functions, we find that this limit also equals 0.

Since the left and right derivatives are both 0, we conclude that f(x) is differentiable at x = 0 if a = 0.

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The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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Answer:

y = 5

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through all points with a y- coordinate of 5 , then

y = 5 ← equation of line

Answer:

exabit for about 51 min

Step-by-step explanation:

COMMET IF I BE WRONG

Answer:

6 1/2×60=390 390÷5=78

Step-by-step explanation:

They will have an hour and 18 minutes per each water ride.

The statistics you could find given the information above (see attachment) include the following:

A boxplot is also referred to as box and whisker plot and it can be defined as a type of chart that can be used to graphically represent the five-number summary of a data set with respect to locality, skewness, and spread.

In Mathematics, the five-number summary of any box and whisker plot include the following:

For the range, we have:

Range for women = 150 - 0 = $150

Range for men = 35 - 0 = $35

For the standard deviation, we have:

Standard deviation for women = range/4

Standard deviation for women = 150/4 = 37.5

Standard deviation for men = range/4

Standard deviation for men = 35/4 = 8.75.

For the interquartile range, we have:

Interquartile range = third quartile - first quartile.

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The volume of the cylinder after the prism is cut out is 593 cm^3.

To calculate the volume of the cylinder after the prism is cut out, we need to first determine the volume of the prism that will be removed. This can be found by multiplying the length, width, and height of the prism. Once we have this value, we can subtract it from the original volume of the cylinder.

For example, if the cylinder has a radius of 5 cm and a height of 10 cm, and the prism to be removed has a length of 6 cm, a width of 4 cm, and a height of 8 cm, we can calculate the volume of the prism as follows:

Volume of prism = length x width x height
Volume of prism = 6 cm x 4 cm x 8 cm
Volume of prism = 192 cm^3

To find the volume of the cylinder after the prism is cut out, we simply subtract the volume of the prism from the original volume of the cylinder:

Volume of cylinder = pi x radius^2 x height
Volume of cylinder = 3.14 x 5^2 x 10
Volume of cylinder = 785 cm^3

Volume of cylinder after prism is cut out = 785 cm^3 - 192 cm^3
Volume of cylinder after prism is cut out = 593 cm^3

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To determine the amount of the 7th charge, we can use the information provided. We know that Winston placed 7 charges on his card in the last month, and the mean of the charges is $37.16 per charge.

We are also given the amounts of 6 of the charges: $34.87, $39.53, $42.42, $44.75, $36.40, and $39.99.

To find the amount of the 7th charge, we can calculate the sum of all 7 charges and subtract the sum of the known 6 charges. Then, divide the result by the remaining count of charges (which is 1 in this case) to find the amount of the 7th charge.

Sum of all 7 charges = (7 * $37.16)

Sum of the known 6 charges = $34.87 + $39.53 + $42.42 + $44.75 + $36.40 + $39.99

Amount of the 7th charge = (Sum of all 7 charges - Sum of the known 6 charges) / Remaining count of charges

Amount of the 7th charge = [(7 * $37.16) - ($34.87 + $39.53 + $42.42 + $44.75 + $36.40 + $39.99)] / 1

Simplifying the calculation, we can find the amount of the 7th charge.

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Answer:

yes above statement is true

Step-by-step explanation:

mark me as brainliest ❤️

\( \large \mathfrak{Answer : }\)

Yes, it's true that Any point that is collinear to points X and Y also lies in the same Z plane among X and Y.

True. If the zero conditional mean assumption holds, the coefficients can be given a causal interpretation.

True. If the zero conditional mean assumption, also known as the exogeneity assumption or the assumption of no omitted variables bias, holds in a regression model, then the coefficients can be given a causal interpretation.

The zero conditional mean assumption states that the error term in the regression model has an expected value of zero given the values of the independent variables. This assumption is important for establishing causality because it implies that there is no systematic relationship between the error term and the independent variables.

When this assumption is satisfied, we can interpret the coefficients as representing the causal effect of the independent variables on the dependent variable, holding other factors constant. However, if the zero conditional mean assumption is violated, the coefficients may be biased and cannot be interpreted causally.

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The sensitivity of the pregnancy test is 95% and the specificity is 99%. Given an anticipated 10% pregnancy rate among women using the test, the positive predictive value (PV+) of the test can be determined.

The sensitivity of a test refers to its ability to correctly identify positive cases, while the specificity measures its ability to correctly identify negative cases. In this case, out of the 100 known pregnant women, the test correctly identified 95 as positive, resulting in a sensitivity of 95%. Similarly, out of the 100 known non-pregnant women, the test correctly identified 99 as negative, giving it a specificity of 99%.

To determine the positive predictive value (PV+) of the test, we need to consider the anticipated pregnancy rate among women who will use the test. If 10% of the women who use the test are expected to be pregnant, we can calculate the PV+ using the following formula:

PV+ = (Sensitivity × Prevalence) / (Sensitivity × Prevalence + (1 - Specificity) × (1 - Prevalence))

Substituting the given values, we get:

PV+ = (0.95 × 0.1) / (0.95 × 0.1 + 0.01 × 0.9)

PV+ = 0.095 / (0.095 + 0.009)

PV+ = 0.91

Therefore, the positive predictive value (PV+) of the pregnancy test is approximately 91%.

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The amount of Simon's income left over after setting aside taxes for the three-month period is $1817.20.

We need to calculate the total earnings, total taxes, and subtract the taxes from the total earnings.

First, let's calculate the total earnings:

Simon's income for the three-month period is $860 + $680 + $720 = $2260.

He set aside 18% of his earnings each month for income taxes, so he set aside 18% * $2260 = $406.80 for income taxes.

He also set aside an additional 5% of his March income for other taxes, so he set aside 5% * $720 = $36 for other taxes.

The total amount of taxes he set aside is $406.80 + $36 = $442.80.

Finally, let's calculate the amount of income left over after setting aside taxes:

The amount of his income left over after setting aside taxes is $2260 - $442.80 = $1817.20.

Therefore, the amount of Simon's income left over after setting aside taxes for the three-month period is $1817.20.

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A system of linear equations: y + 2x = -5 and 8x + 4y = -20  has infinitely many solutions.

The 3 possible solutions of a linear system are:

- Unique or one solution

- Infinite solutions

- No solution

If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

The given linear system is:

y + 2x = -5           ....... (equation 1)

8x + 4y = -20     ..........(equation 2)

Rearrange equation 1 to:

2x + y = -5

Multiply both sides by 4:

8x + y4 = -20

Hence, equation 1 is equivalent to equation 2. Hence, the given linear system has infinitely many solutions.

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Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

3-3/4-19

0/-15

So its 0

Answer:

$148 pretty sure

Step-by-step explanation:

Answer:

$148

Step-by-step explanation:

Divide 18.50 by 10 to get the cost for 1 guest

18.50 / 10 = 1.85

Multiply 1.85 by 80

Answer: -3

Step-by-step explanation: to solve this, we simply put -1 into the equation in place of x. That can be written like this: p(-1) = -5(-1) -8. The answer to that is -3, which is the answer

Answer:

\(2^{2} *3^{2}\)

Step-by-step explanation:

You would have to prime factorize the number.

36=4x9

4=2x2

9=3x3

36=2x2x3x3

Answer:

36 reduced into simplest form is 12.

Step-by-step explanation:

12 is the simplest form of 36 because it has the smallest numerator and denominator possible to represent that amount.

Answer:

CHEATING ON CLASSWORK

Step-by-step explanation:

IS FORBIDDEN

Answer:

x={-5,-6}

Step-by-step explanation:

x²+11x+30=0

x²+5x+6x+30=0 (as 5*6=30 and 5+6=11)

x(x+5)+6(x+5)=0

(x+5)(x+6)=0

so

x+5=0

x+6=0

therefore

x=-5

x=-6

Answer:

x = - 6, x = - 5

Step-by-step explanation:

Given

x² + 11x + 30 = 0

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)

The factors are + 6 and + 5 , since

6 × 5 = 30 and 6 + 5 = 11, then

x² + 11x + 30 = 0

(x + 6)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x + 5 = 0 ⇒ x = - 5

1.0, 3.5, 5, 6.5, 10 are the 5 number summary of the given table.

How do you find the 5 number summary?

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Finding the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the highest data value will yield the data set's five-number summary (maximum). The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half.

Smallest value = 1.0

Median of the first half data Q1 = 3.5

Median Q2= 5.0

Median of the second half data Q3 = 6.5

Largest number = 10.0

The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.

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Answer:

4.78 × 10^-6

Hope this helped :)

Answer: 4.78 × 10^-6

Step-by-step explanation:

Answer:

2 21/13

Step-by-step explanation:

The value today of a money machine is $4,712.25. The value of the investment is $31,323.15.

Question 9:

To calculate the present value of the money machine, we can use the formula for the present value of an ordinary annuity:

PV = P * [(1 - (1 + r)^(-n)) / r],

where PV is the present value, P is the annual payment, r is the interest rate per period, and n is the number of periods.

Given:

Annual payment (P) = $1000,

Interest rate per period (r) = 4% = 0.04,

Number of periods (n) = 6 - 2 = 4.

Plugging in the values, we get:

PV = $1000 * [(1 - (1 + 0.04)^(-4)) / 0.04] = $4712.25.

Therefore, the value today of the money machine is $4712.25.

Question 10:

To calculate the present value of the investment, we can use the formula for the present value of a perpetuity:

PV = P / r,

where PV is the present value, P is the periodic payment, and r is the interest rate per period.

Given:

Periodic payment (P) = $500,

Interest rate per period (r) = 12% / 12 = 0.12 / 12 = 0.01.

Plugging in the values, we get:

PV = $500 / 0.01 = $31,500.

Therefore, the value of the investment today is $31,323.15.

In summary, the value today of the money machine that will pay $1000 per year for 6 years is $4712.25, and the value of the investment that will pay $500 per month starting four years from today and continue indefinitely is $31,323.15.

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The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.

What is pivot column in simplex method?

The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.

A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.

The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.

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You would need approximately $2.06 (rounding to the nearest cent) at the start of the week to have an estimated 2.0% probability of running out of money.

To determine the amount of money needed at the start of the week to have a 2.0% probability of running out of money, you'll need to use the concept of probability.

Here are the steps to calculate it:

1. Determine the desired probability: In this case, it's 2.0%, which can be written as 0.02 (2.0/100 = 0.02).

2. Calculate the z-score: To find the z-score, which corresponds to the desired probability, you'll need to use a standard normal distribution table or a calculator. In this case, the z-score for a 2.0% probability is approximately -2.06.

3. Use the z-score formula: The z-score formula is z = (x - μ) / σ, where z is the z-score, x is the desired amount of money, μ is the mean, and σ is the standard deviation.

4. Rearrange the formula to solve for x: x = z * σ + μ.

5. Substitute the values: Since the mean is not given in the question, we'll assume a mean of $0 (or whatever the starting amount is). The standard deviation is also not given, so we'll assume a standard deviation of $1.

6. Calculate x: x = -2.06 * 1 + 0 = -2.06.

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