10) A jeweler has a pendant for sale for $150. If she
charges her customer $10.50 for sales tax, what
is the percent of sales tax?
(A) 6%
(B) 7%
(C) 8%
(D) 9%

Answer:90 the height of the tallest man is 90

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

b

Step-by-step explanation:

just took the test yyyyyyyyyyyyyyyyyyyyyyyyy

Answer

-6a - 48

Solution

-6 x a= -6a

8 x -6= 48

-6a - 48

Answer:

last option

Step-by-step explanation:

y + 3 = 2 ( x - 1 )

⇒ y + 3 = 2x - 2

⇒ y = 2x - 5

The probability that a boreal owl egg weighs more than 8.5 grams but not more than 9 grams, using the probability density histogram with a uniform distribution, is 0.25 or 25%.

To calculate the probability that a boreal owl egg weighs more than 8.5 grams but not more than 9 grams using a probability density histogram, we need to determine the area under the histogram curve within this weight range.

Let's assume that the histogram is represented by a continuous probability density function (PDF) curve. We'll denote this function as f(x), where x represents the weight of the eggs.

To calculate the probability, we need to integrate the PDF within the specified weight range.

Let's assume that the PDF is a uniform distribution over the weight range of 8 grams to 10 grams (inclusive). This means that the PDF, f(x), is constant within this range and zero outside of it.

Since the PDF is constant over the range of 8 grams to 10 grams, we can calculate its value by dividing 1 (the total area under the curve) by the width of the range (10 grams - 8 grams = 2 grams).

The PDF, f(x), is 1/2 within the range of 8 grams to 10 grams.

Let's calculate the probability of the boreal owl egg weighing more than 8.5 grams but not more than 9 grams.

To calculate this probability,

we need to integrate the PDF within the range of 8.5 grams to 9 grams.

P(8.5 < x ≤ 9) = ∫[8.5, 9] f(x) dx

Since f(x) is a constant within the range of 8 grams to 10 grams,

we can substitute its value and calculate the integral.

P(8.5 < x ≤ 9) = ∫[8.5, 9] (1/2) dx

Integrating the constant 1/2 with respect to x within the given range,

we have:

P(8.5 < x ≤ 9) = (1/2) × [x] evaluated from 8.5 to 9

= (1/2) × (9 - 8.5)

= (1/2) × 0.5

= 0.25

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So sorry I messed it up I let you down :(

Answer:

55 cm²

Step-by-step explanation:

In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)

So the top and bottom base are both 9, and the left and right sides are both 5.

So, to solve, we need to use the equation:

(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²

Answer:

Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different! In this tutorial, take a look at equivalent ratios and learn how to tell if you have equivalent ratios.

The conclusion based on the hypothesis is that do not reject the null hypothesis as the row an column factors are independent.

From the information given, the null hypothesis is that the row and the column factors are independent. The alternative hypothesis is that they're dependent.

This was run by using the Chi square test and the following information was gotten:

Test statistic = 2.5234

P- value = 0.1122

Degree of freedom = (2-1)(2-1) = 1

Since the p value is equal to 1%, do not reject the null hypothesis as the row an column factors are independent.

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Answer and explanation in the attached file.

Assume a stick of length 1 is randomly broken into two portions. The smaller piece's estimated length is 0.25.

The random variable L (the length for the shorter stick) has a uniform distribution.

Thus the probability density function for L is as follows:

This means 2 for all length in the range 0 - 0.5

Now, we calculate the expected value for random variable L as seen on the attachment. Based on the calculation, 0.25 is the smaller piece's estimated length for the randomly broken stick.

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Answer:

\(\huge\boxed{x=\sqrt{174}-2}\)

Step-by-step explanation:

\(A_1=x^2cm^2\\\\A_2=(x+4)^2cm^2\\\\A_1+A_2=356\\\\x^2+(x+4)^2=356\qquad|\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+x^2+8x+16=356\qquad|\text{subtract 16 from both sides}\\\\2x^2+8x=340\qquad|\text{divide both sides by 2}\\\\x^2+2\cdot x\cdot2=170\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2\cdot x\cdot 2+2^2=174\qquad|\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=174\to x+2=\pm\sqrt{174}\qquad|\text{subtract 2 from both sides}\\\\x=\sqrt{174}-2\ \vee\ x=-\sqrt{174}-2<0\)

We are given some information about a triangle, and with the information that we have we can solve this in 2 ways: using the cosine of angle C, or the sine of angle A, an angle which we know measures 60° because the sum of the internal angles of a triangle must be 180°. Let's use the second one:

We know that the sine of an angle is:

And by calculating 4√3 we know that it is 6.92, therefore, the correct answer is option A

Answer:

270 per year so 6 years is 1620 and add that with 6000=7620

The Steady-state gain can be found using the formula Kp = lim s->0 G(s).

A. (a) The inverse Laplace transform of the function 8 /s² (s+2) is given by f(t) = 8(t - e^(-2t)).

B. (a) To find the inverse Laplace transform of 8 /s² (s+2), we can use partial fraction decomposition and inverse Laplace transform tables.

First, we express the function in partial fraction form as follows: 8 /s² (s+2) = A/s + B/s² + C/(s+2).

To find the values of A, B, and C, we can equate the coefficients of corresponding powers of s in the numerator and denominator. This leads to the equations A + 2B + 2C = 0, A = 8, and B = -8.

Substituting the values of A and B into the equation A + 2B + 2C = 0, we find C = 4.

Now, we have the partial fraction decomposition as: 8 /s² (s+2) = 8/s - 8/s² + 4/(s+2).

Using inverse Laplace transform tables, we find the inverse Laplace transforms of each term: L⁻¹{8/s} = 8, L⁻¹{8/s²} = 8t, and L⁻¹{4/(s+2)} = 4e^(-2t).

Finally, we combine the inverse Laplace transforms of each term to obtain the inverse Laplace transform of the original function: f(t) = 8(t - e^(-2t)).

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Answer:

Step-by-step explanation:

let the cost of one pen be x and the cost of one watch be y

cost of a watch and a pen=$105

cost of 2 such pens=$18 more than the watch = 18+y ------(1)

18+y=105

y=105-18

 =87

Answer:

56

Step-by-step explanation:

80 - 30% or 100% - 30% of 80. so 70 percent of 80 is .60 x 80 = 56

Didn't get my answer like this but is a way to solve.

The F ratio in a completely randomized ANOVA is a) MSTR/MSE.

The F ratio in ANOVA is a measure of the variability between groups compared to the variability within groups. MSTR (mean square treatment) represents the variability between groups, while MSE (mean square error) represents the variability within groups.

The F ratio is the ratio of MSTR to MSE. A high F ratio indicates that the variability between groups is larger than the variability within groups, suggesting that there is a significant difference between at least two of the group means.

In contrast, a low F ratio suggests that there is little difference between group means, and any observed differences may be due to chance. Therefore, the F ratio is an essential statistic in ANOVA for determining the significance of the observed differences between groups.

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Answer:

7.6

Step-by-step explanation:

1.3 + 6.3 = 7.6

Answer:

C

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

Therefore, the decimal number 0.00067 written in scientific notation is 6.7 × 10-4.

By solving a quadratic equation, we can see that the height of the cliff is 90 ft.

Let's define x as the height of the cliff, we have a right triangle with:

Using the Pythagorean theorem, we can write:

(54 + 2x)^2 = (216)^2 + x^2

So we need to solve a quadratic equation, expanding we get:

4x^2 + 216x + 2,916 - x^2 - 46,656 = 0

3x^2 + 216x - 43,740  = 0

The solutions are:

\(x = \frac{-216 \pm \sqrt{(216)^2 - 4*3*(43,740)} }{2*3} \\\\x = (-216 \pm 756)/6\)

We only care for the positive solution, which is:

x = (-216 + 756)/6 = 90

The height is 90ft.

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Answer:

x=-6/11, y=-61/11. (-6/11, -61/11).

Step-by-step explanation:

4x+7y=-41

x=y+5

-----------------

4(y+5)+7y=-41

4y+20+7y=-41

11y=-41-20

11y=-61

y=-61/11

x=-61/11+5=-61/11+55/11=-6/11

The volume of the region E is (16/15)π.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

In cylindrical coordinates, the equations of the sphere and the paraboloid become:

x² + y² + z² = 2 => r² + z² = 2

z = x² + y² => z = r²

We want to find the volume of the region E that is bounded above by the sphere and bounded below by the paraboloid.

This region is a solid with circular cross-sections, so we can use cylindrical coordinates to set up the integral.

The limits of integration for r, θ, and z are as follows:

r: The solid is circular in cross section, so r goes from 0 to the radius of the circle.

This radius is determined by setting the equation of the sphere equal to the equation of the paraboloid and solving for r.

This gives us r = 1.

θ: Since the solid is symmetric about the z-axis, θ goes from 0 to 2π.

z: The solid is bounded below by the paraboloid, which gives us the lower limit of integration for z.

The upper limit of integration is given by the equation of the sphere.

Using these limits, we can set up the triple integral:

V = ∫∫∫ E dV

where dV = r dz dr dθ.

The limits of integration for this integral are:

0 ≤ r ≤ 1

0 ≤ θ ≤ 2π

r² ≤ z ≤ √(2 - r²)

Substituting in the limits and integrating, we get:

V = ∫0¹ ∫0²π ∫r² √(2-r²) r dz dr dθ

= ∫0¹ ∫0²π [(1/2)√(2-r²) - (1/2)r⁴] dr dθ

= ∫0¹ ∫0²π (1/2)√(2-r²) dr dθ - ∫0¹ ∫0²π (1/2)r⁴ dr dθ

The first integral can be evaluated using the substitution u = 2 - r², du = -2r dr, and the limits 0 to √2:

∫0¹ ∫0²π (1/2)√(2-r²) dr dθ = ∫0²π ∫0²-θ (1/2)√u (-du/2) dθ du

\(= \int\limits { 0^2 \pi (1/3)(2-u)^{(3/2)} du\)

= (4/3)π

The second integral can be evaluated using the power rule for integration, and the limits 0 to 1:

∫0¹ ∫0²π (1/2)r⁴ dr dθ = (1/2) ∫0²π [(1/5)r⁵]_0₁ dθ

= (1/2) ∫0²π (1/5) dθ = π/5

Therefore, the volume of the region E is:

V = (4/3)π - π/5 = (16/15)π

Thus, the volume of the region E is (16/15)π.

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Answer:

3

Step-by-step explanation:

you know what to do with a different person and you know what to do with a different person and

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

Answer:

30 gallons

Step-by-step explanation:

if it fills up 1600 tubs an hour then the answer should be 30 gallons.

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3