You make $35000 a year, an you get a 10% raise. Your new salary is $[???]. The next year you get a 10% cut. Your new salary is $[???]. That is [???]% less than your initial salary.

Answer:

C. No e = h + 2

Step-by-step explanation:

The answer is (No. e = h + 2) because first of all 4 times 2/3 is 6 but 8 multiplied by 2/3 is not 10, So, A is wrong.

B is also wrong because it is basically the same thing as A.

D is not right because 6 - 2 is not 8.

So, the answer is C. No e = h + 2.

Hope this helps! :)

Answer:

100+130=3000

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

i. 8x + 1 = 7x + 5

ii. 8x - 7x = 5 - 1

iii. x = 4

Answer:

95​% confidence interval for the mean difference in leisure time between adults with no children and adults with children (μ1 - μ2).

(0.4144 , 2.3256)

Step-by-step explanation:

Given sample size 'n' =n₁ = n₂ = 40

The mean of the first sample  (x₁⁻) = 5.69 hours

The standard deviation of the first sample (S₁)= 2.42 hours

The mean of the second sample( x₂⁻) = 4.32 hours

The standard deviation of the second sample (S₂)= 1.83 hours

95% of confidence intervals for (μ₁ - μ₂)are determined by

\((X^{-} _{1} - X^{-} _{2} - t_{\frac{\alpha }{2} } Se(X^{-} _{1} - X^{-} _{2} ) , X^{-} _{1} - X^{-} _{2} + t_{\frac{\alpha }{2} } se(X^{-} _{1} - X^{-} _{2} ))\)

where

The standard error of the difference between two means

\(se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{\frac{S^{2} _{1} }{n_{1} }+\frac{S^{2} _{2} }{n_{2} } }\)

\(se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{\frac{(2.42)^2 }{40 }+\frac{(1.83)^2 }{40 } }\)

\(se(X^{-} _{1} - X^{-} _{2} ) = \sqrt{0.2301325} = 0.47972\)

Degrees of freedom γ = n₁ +n₂ -2 = 40+40 -2 =78

\(t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } = t_{0.025}\)

t₀.₀₂₅ = 1.992

95% of confidence intervals for (μ₁ - μ₂)are determined by

\((X^{-} _{1} - X^{-} _{2} - t_{\frac{\alpha }{2} } Se(X^{-} _{1} - X^{-} _{2} ) , X^{-} _{1} - X^{-} _{2} + t_{\frac{\alpha }{2} } se(X^{-} _{1} - X^{-} _{2} ))\)

(5.69 -4.32)- 1.992(0.47972)), (5.69-4.32)+1.992(0.47972))

(1.37 -0.9556 , 1.37+0.9556)

(0.4144 , 2.3256)

Conclusion:-

95​% confidence interval for the mean difference in leisure time between adults with no children and adults with children (μ1 - μ2).

(0.4144 , 2.3256)

Following are the calculation to the confidence interval:

Given:

\(\bar{x_1}= 5.69\\\\\bar{x_2}= 4.32\\\\s_1=2.42\\\\s_2=1.83\\\\n_1=40\\\\n_2=40\\\\\)

To find:

confidence interval=?

Solution:

\(\to a=0.1\\\\ \to Z(0.05)=1.645\)            (from standard normal table)

Calculating the confidence interval when its value is \(95\%\):

\(\to (\bar{x_1}-\bar{x_2}) \pm Z \times \sqrt{(\frac{s^2_{1}}{n_1}+ \frac{s^2_{2}}{n_2})}\)  

\(\to (5.69-4.32)\pm 1.645 \times \sqrt{(\frac{2.42^2}{40}+\frac{1.83^2}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{5.8564}{40}+\frac{3.3489}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{5.8564+3.3489}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{(\frac{9.2053}{40})}\\\\\to (1.37)\pm 1.645 \times \sqrt{0.2301325}\\\\\to (1.37)\pm 1.645 \times 0.4797212 \\\\\to (1.37)\pm 0.789\\\\\to (2.159, 0.581 )\)

Therefore, the final answer is "(2.159 and 0.581)".

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Answer:

\(y=60^\circ\)

Step-by-step explanation:

\(m\angle y\:=\:\frac{1}{2}\:m \angle {120^\circ}\\\\=60^\circ\)

Best Regards!

cant see the pic

please type out the question

so that i can help u

Answer:

\( x = zk + z + \mu\)

Step-by-step explanation:

\(z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}\)

Answer:

65 cents

Step-by-step explanation:

5 + 1 + .30 = 6.30

6.95 - 6.30 = .65

Answer:

this might be the answer

Answer:

The length = 120 feet

Step-by-step explanation:

Givens

Let the length  = x

Let the width = 3/4  x

Perimeter = 420 feet

Formula

Perimeter = 2*L + 2*w

Solution

2*x + 2(3/4) x = 420

2x + 1.5x = 420

3.5 x = 420

x = 120

The missing side in the similar figure below is 42.

We are given a diagrammatic expression of two triangles and we are asked to find the missing side in a similar triangle. To be able to solve this question, we need to understand what are triangles and the possible types of triangles.

A triangle is a plane figure that has three sides and three angles. The major types of triangles include:

The example of the triangle given is a right-angle triangle and can be solved by using the Pythagoras theorem.

The Pythagoras theorem states that the hypotenuse squared is equal to the sum of the opposite squared and the adjacent squared.

hyp² = opp² + adj²

48² = x² + 24²

2304 = x² + 576

x² = 2304 - 576

x² = 1728

x = √1728

x = 41.57

x ≅ 42

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Answer:

C

Step-by-step explanation:

If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.

Subtracting Turkey (12) from Ham (9) your answer is C, or 3.

Answer:

The value of E [Z]  is 0.50.

Step-by-step explanation:

The expected value is computed using the formula:

\(E(X)=\sum x\cdot P(X= x)\)

Denote the three dices as follows:

X₁ = a four-sided die

X₂ = a six-sided die

X₃ = a 12-sided die

Define the indicator variables as follows:

\(I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.\)

The probability of rolling a 4 in the three dices are as follows:

\(P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}\)

Compute the value of E [Z] as follows:

\(E(Z)=E(I_{1})+E(I_{2})+E(I_{3})\)

         \(=(1\times\frac{1}{4})+(1\times\frac{1}{6})+(1\times\frac{1}{12})\\\\=\frac{3+2+1}{12}\\\\=\frac{6}{12}\\\\=\frac{1}{2}\\\\=0.50\)

Thus, the value of E [Z]  is 0.50.

The probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.

To find the probability of A) a person enrolled in psychology that takes all three subjects, and B) a person not taking psychology that is taking both history and mathematics; the following calculations must be made:

Therefore, the probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.

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8

Step-by-step explanation:

you would do 10 divide by 2.25 and that's 4.4 but you can't by half a hamburger so you round down to 4 and then you times 4x2 because it's 2.25 for two hamburgers so your answer is 8.

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer: -0.18

Step-by-step explanation:

-9/50 is the same as -18/100. negative eighteen hundredths. so we write it as -0.18, because that fills into the hundredths place

Answer:

-0.18

Step-by-step explanation:

The Billy's net pay is K646

The given information are; Billy's gross pay is K850.00, he is taxed 12% on his taxable income, and contributes 7% to Nusfund. His loan deduction is 5%.

To find out his net pay, the following steps must be taken:Firstly, calculate Billy's tax amount, Nusfund contribution, and loan deduction by using their respective percentages and the gross pay.

 tax amount= 12/100 × 850= K102 Refund contribution= 7/100 × 850= K59.50Loan deduction= 5/100 × 850= K42.50 Secondly, the sum of all the deductions made from the gross pay is calculated to obtain the total deductions.

Total deductions= K102 + K59.50 + K42.50= K204The final step is to subtract the total deductions from the gross pay to find Billy's net pay. Net pay= K850 − K204= K646.

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Answer:

Shinto worshippers believed in Kami, which were divine spirits that lived in nature. The Kami were believed to be present in all things, including rocks, trees, animals, and humans, and were worshipped and honored through various rituals and ceremonies. Shinto is the traditional religion of Japan, and while it does not have a single founder or doctrine, the belief in Kami is a central tenet of the faith. Today, many Japanese people practice Shinto alongside other religions such as Buddhism or Christianity.

Answer:

3we

Step-by-step explanation:

rffd

The possible values of x are 3 and 7

Given the rational expression below;

√60-8x = x - 9

Square both sides to have:

(60-8x)² = (x-9)²

60-8x = x²-18x+81

Equate to zero to have;

x²-18x+81 - 60 + 8x = 0

x² - 10x + 21 = 0

x² -3x-7x +21 = 0

x(x-3)-7(x-3) = 0

x = 3 and 7

Hence the possible values of x are 3 and 7

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8 halls would be required to accommodate 520 people in the hall.

As we know that a hall can accommodate 65 people.

To determine the number of hall required for 520 people,

first we need to find that how many halls would be required for one person,

So, we will divide the 1 by 6 to find :

The number of one person accommodate = 1/65 Hall

Then, 520 people required to accommodate = 1/65 × 520

                                                                      = 8 Halls.

[Accommodate: to have enough space for somebody/something, especially for a certain number of people]

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Answer:

F(d) = 30 + 0.50d

Step-by-step explanation:

Given

Charges = P8.00 ---- first 4 km

Additional = P0.50

Required

Write a function to address the scenario.

Represent the whole distance covered with d.

First,we need to determine the total charges for the first four hours.

Charges = 8.00 * 4

Charges = 32.00

Next, we determine the charges for additional distance.

Charges = 0.50 * (d - 4)

d - 4 is the remaining distance after the first 4.

Charges = 0.50d - 2

The function is then written as;

F(d) = 32 + 0.50d - 2

F(d) = 32 - 2 + 0.50d

F(d) = 30 + 0.50d

The surface area of given triangular prism = 24 ft².

For the given triangular prism

Base = 2 ft

height = 3 ft

side = 3ft

We know that,

Surface area of triangular prism

= side x base + 3x base x height

=  3 x 2  + 3x2x3

= 6 + 18

= 24 ft²

Thus,

Surface area = 24 ft²

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The equation of the line best fit is y = 25x + 340

The term "line equation" typically refers to the equation of a straight line in the Cartesian coordinate plane.

To write an equation for the line passing through the given graph points (1, 360) and (8, 540), we can use the slope-intercept form of a linear equation, y = mx + c

To find the slope (m), we can use the formula:

\(m = \frac{(y_{2} - y_1)}{(x_2 - x_1)}\)

where (x₁, y₁) = (1, 360) and (x₂, y₂) = (8, 540)

m = (540 - 360) / (8 - 1)

m = 25.7 ≈ 25

Now we can use the slope-intercept form of the equation and plug in the slope and one of the given points to find the y-intercept (c):

y = mx + c

540 = 25×8 + c

540 = 200 + c

c = 340

Therefore, the equation of the line passing through the points (1, 360) and (8, 540) is: y = 25x + 340

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Answer:

The expression (6 × 10^7) × 0.007 simplified is 4.2 x 10^5.

Step-by-step explanation:

Answer:

  12x³y²

Step-by-step explanation:

You want the product -2x (-3x²y)(2y).

An exponent is a means of telling the number of times the base is a factor in a product. For example, the exponent 2 means the base is a factor twice in the product:

  x² = x·x

When the same factor appears a number of times in a product, an exponent can be used to represent that number.

  (-2x)(-3x²y)(2y) = (-2)(-3)(2)(x·x²)(y·y)

The factor x appears 3 times in the product, and the factor y appears twice. The numerical product can be simplified, so the result is ...

  12x³y²

The final distance is 31 km.

Time, t = Distance, d/Velocity, v

Let's assume the ambulance drives a distance of x along the road, which leaves us 50-x on the road, after which it has reached the road.

It forms a triangle, after which we can use Pythagoras Theorem.

Using it, we get distance down the hill, d1, and we can calculate distance on the road remaining till the hospital, d2.

t = d1/v1 + d2/v2

 = \(\frac{\sqrt{x^{2} + 30^{2} } }{30} + \frac{50 - x}{120}\)

We need to minimise t. Therefore, we have to differentiate.

On differentiating and equating it to 0, we get the value of x as \(\sqrt{60} = 7.75\)

How far down the road should the vehicle aim to reach the road to reach the hospital at the minimum time?

\(= \sqrt{900 + 7.75^{2} } = 31 km\)

Thus, the final distance is 31 km.

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Answer:

yes

Step-by-step explanation:

you can classify people into categories by name, state, and age. Hope this helps!