kevin buys a lether jacket listed for $190 he receives a 15% discount at the register what is the new price of the lether jacket.​

Answer:

Option C is the Correct Answer

Answer:

a. Income = $408.75

b. Income = $300 + $0.05x

Step-by-step explanation:

Given

Salary = $300 weekly

Commission = 5% of total sales

Solving (a): When total sales = $2175

To calculate his total income, we make use of...

Income = Salary + 5% * Total Sales

\(Income = \$300 + 5\% * \$2175\)

\(Income = \$300 + \$108.75\)

\(Income = \$408.75\)

Solving (b): When total sales = $x

Income = Salary + 5% * Total Sales

\(Income = \$300 + 5\% * \$x\)

Convert % to decimal

\(Income = \$300 + 0.05 * \$x\)

\(Income = \$300 + \$0.05x\)

Answer: 4 and -9

Step-by-step explanation:

x(x+5)

Answer:

53:100

Step-by-step explanation:

It says that there are 53 car-racing games out of the 100.

It also says that there are 100 racing games in total.

So your answer would be 53:100

I hope this helped. I am sorry if you get it wrong.

Answer:

53:100

Step-by-step explanation:

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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Answer:

answer is D= 0.07

Step-by-step explanation:

The equation:

0.076 - 0.011

By rounding to the nearest hundredth

0.076 = 0.08

0.011 = 0.01

=0.08-0.01

=0.07

98% confidence Interval for the mean number of hours a student studies per week is (21.0208,18.9792)

mean x = 16

standard deviation σ = 2.4

sample size n = 65

z score for 98% = 2.576

Interval = x±z*s/

= 16±2.576*2.4/

= 16±2.576*0.39629

= 16±1.0208

Interval = (21.0208,18.9792)

Therefore 98% confidence Interval for the mean number of hours a student studies per week is (21.0208,18.9792).

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Answer: D

Step-by-step explanation:

Step-by-step explanation:

That symbol is sigma, which is the sum of that equation from k = 1 to n = 4

Equation is 2(3^n-1)

Since we're going 1 to 4, the sum would be as follows (replacing n with 1, 2, 3, and 4

\(2( {3}^{1 - 1}) + 2( {3}^{2 - 1}) + 2( {3}^{3 - 1}) + 2( {3}^{4 - 1}) = {?}\)

\(2(1) + 2(3) + 2(9) + 2(27) = \)

\(2 + 6 + 8 + 54 = 70\)

Answer:

The slope of F = 5.

Not 100% sure.

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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The probability that the two chosen tiles differ with respect to all three properties is found as 1/24.

Let the probability of the each material be given as;

There is a probability of  1/2 that the tiles will differ in material (wood or plastic).

There is a probability of 1/3 that the tiles will differ in color (r, y or b)

There is a probability of 1/4 that tiles will differ in shape (t, s, p or c)

Thus,

Total probability (two tiles differ with respect to all three properties):

= 1/2  *  1/3  *  1/4

= 1/24

Thus, the probability that the two chosen tiles differ with respect to all three properties is found as 1/24.

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Answer:

The time she would arrive in London is 1:20 pm

Step-by-step explanation:

Recall

Speed= Distance/Time

But we want to find the time taken, so:

We cross multiply:

Speed *Time = Distance

Make time the subject of formula

Time= Distance/Speed

195/52

= 3.75 hours

Therefore, 9:45 am + 3.75 hours

= 13.20 pm

Which is equivalent to 1:20 pm

Answer:

160

Step-by-step explanation:

P(advance math | 7th grader) = 14/35 (sample size 35)

Estimated advance math 7th grader in school = 400 * 14/35

= 160

Answer: 160 people can be expected to be in advanced math

Step-by-step explanation:

14 ÷ 35 = 0.4

⇒ what is 40% of 400?

⇒ 0.4 × 400

⇒ 160 people

Answer:

answer is 875.8571429.

Answer:

$48

Step-by-step explanation:

price of jacket : original price

3 : 4

If 64 = 4, we can find out 1.

64 / 4 = 16

16 x 3 = 48

16 x 4 = 64

48 : 64

sale price = $48

Hope this helps!

- profparis

Answer:

$48

Step-by-step explanation:

the 4 part of the ratio refers to the original price of $64 , then

$64 ÷ 4 = $16 ← value of 1 part of the ratio , then

3 parts = 3 × $16 = $48 ← sale price

Answer:

The graph has been moved two units to the left and six units to the bottom.

Step-by-step explanation:

You can rewrite your function as \(y+6= (x+2)^2\) which can also be rewritten as \(Y= X^3\) who has the same shape as the parent function. The main difference is that the point \(O (0;0)\) which acts as a symmetry center has been replaced by \(O' (-2;-6)\); the whole graph has been moved two units to the left and six units to the bottom.

Step-by-step explanation:

\( - 20 \: is \: your \: answer\)

To know the solution with Proof

Refer To the above attachment .

Answer:

-4

Step-by-step explanation:

when the signs are different the result is negative

(+ )*( - )= ( -)

As per the above given question the reflection of m∠O=112°.

A process of introspection or self-examination is reflection. It entails reflecting critically on one's thoughts, feelings, and experiences in order to comprehend oneself better. Self-awareness and insight can be developed through reflection, which can result in personal development and change.

In a larger sense, reflection also refers to the bouncing back of light, sound, or other waves from a surface and is employed in many disciplines, including arithmetic, computer science, and optics. The capacity of a computer program to review and alter its own structure and behavior at runtime is known as reflection in computer programming.

According to question:

Here are given m∠G=61 m∠f=7

From angle sum property of triangle, we get in ΔGFA

m∠G+m∠F+m∠O=180°

⇒61+7+m∠O=180

⇒68+m∠O=180

Therefore m∠O=180-68=112

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Answer: 4c+32

Step-by-step explanation:

The area of the region bounded by the parabola, the tangent line to this parabola at the point, and the axis is 20/3.

The area of the region bounded by the parabola y=x2, the tangent line to this parabola at (1,1) and the x-axis can be calculated by using integration.

First, we note that the equation of the tangent line to the parabola at (1,1) is y=2x-1. Then, the area of the region can be calculated by the equation:
A=∫01 (2x-1) - (x2)dx
A=∫01(x-x2)dx
A=∫01x dx - ∫01x2dx
A= (x2/2) |01 - (x3/3) |01
A=(1/2) - (1/3)
A=1/6
Let the given parabola be\(y^2=4ax\).

So, the equation of tangent at

\((a,a^2/4) is y=a^2/4 + (x-a)\).On solving this with the parabola equation we get,

x=3a/2, y=3a/2

So, the x intercept is 3a/2 and hence the required area is :∫\((3a/2)(a^2/4)\)dx + ∫\((a/2)(3a/2 - a^2/4)\) dx...on solving this, we get,\(20a^2/12 = 5a^2/3\)= 20/3.

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Answer:B. 1 divided by 16

Step-by-step explanation:

i dont know it might be b Or c

just my guess

Answer:

I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years

Step-by-step explanation:

a. The distribution of Z=X+Y is fZ(z) = 0

b. The distribution of  Z=X/Y is a constant distribution with fZ(z)

To find the distribution of Z in both cases, we need to use the concept of convolution for the sum of random variables.

(a) Z = X + Y:

Since X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter λ = 1, we can find the distribution of Z by convolving the probability density functions (PDFs) of X and Y.

The PDF of X is a constant function over the interval (0,1) and is given by:

fX(x) = 1, for 0 < x < 1

fX(x) = 0, otherwise

The PDF of Y, being exponentially distributed with parameter λ = 1, is given by:

fY(y) = λ * exp(-λy), for y > 0

fY(y) = 0, otherwise

To find the distribution of Z, we convolve the PDFs of X and Y:

fZ(z) = ∫ fX(z-y) * fY(y) dy

= ∫ 1 * exp(-y) dy, for z-1 < y < z

Integrating the above expression:

fZ(z) = [-exp(-y)] from z-1 to z

= exp(-(z-1)) - exp(-z), for 1 < z < 2

= 0, otherwise

Therefore, the distribution of Z = X + Y is given by:

fZ(z) = exp(-(z-1)) - exp(-z), for 1 < z < 2

fZ(z) = 0, otherwise

(b) Z = X/Y:

To find the distribution of Z, we can use the method of transformation of random variables.

Let's define W = X/Y. We can find the cumulative distribution function (CDF) of W, and then differentiate to obtain the PDF.

The CDF of W can be expressed as:

FZ(z) = P(Z ≤ z) = P(X/Y ≤ z)

To proceed, we'll consider two cases separately:

Case 1: z > 0

In this case, we have:

FZ(z) = P(X/Y ≤ z) = P(X ≤ zY) = ∫[0,1] ∫[0,zy] 1 dy dx

= ∫[0,1] zy dy dx

= z ∫[0,1] y dy dx

= z [y^2/2] from 0 to 1

= z/2

Case 2: z ≤ 0

In this case, we have:

FZ(z) = P(X/Y ≤ z) = P(X ≥ zY) = 1 - P(X < zY) = 1 - ∫[0,1] ∫[0,zy] 1 dy dx

= 1 - ∫[0,1] zy dy dx

= 1 - z ∫[0,1] y dy dx

= 1 - z [y^2/2] from 0 to 1

= 1 - z/2

Therefore, the CDF of Z = X/Y is:

FZ(z) = z/2, for z > 0

FZ(z) = 1 - z/2, for z ≤ 0

Differentiating the CDF, we obtain the PDF:

fZ(z) = 1/2, for z > 0

fZ(z) = 1/2, for z ≤ 0

Therefore, the distribution of Z = X/Y is a constant distribution with fZ(z)

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Answer:

Step-by-step explanation:

Let the speed of the plane in sill air is p and the speed of the wind is w.

We have the following equations:

Add up the equations and solve for p:

Find the value of w:

\(\bold{\huge{\underline{ Solution }}}\)

Let assume that the speed of plane is x

whereas, The speed of the wind is y

According to the first condition

That is,

Speed of plane + Speed of wind = 259 km/h

Subsitute the required variables,

\(\bold{ x + y = 259 }\)

\(\sf{ x = 259 - y...eq(1) }\)

That is,

Speed of plane - Speed of wind = 211 km/h

\(\bold{ x - y = 211 ...eq(2) }\)

Subsitute eq(1) in eq( 2 ) :-

\(\sf{ 259 - y - y = 211 }\)

\(\sf{ 259 - 2y = 211 }\)

\(\sf{ - 2y = 211 - 259 }\)

\(\sf{ - 2y = -48 }\)

\(\sf{ y = }{\sf{\dfrac{-48}{-2}}}\)

\(\sf{ y = }{\sf{\cancel{\dfrac{-48}{-2}}}}\)

\(\bold{ y = 24 }\)

Thus, The speed of wind that is y is 24 km/h

Subsitute the value of y in eq(1) :-

\(\sf{ x = 259 - 24 }\)

\(\bold{ x = 235 }\)

Hence, The speed of the wind and the plane in still is air are 24km/h and 235km/h .

The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

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1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³

An expression is combination of variables, numbers and operators.

Given expression is  1/2s−4+3/4s+1/8−s³

One by two times of s minus four plus three by four times of s plus one by eight minus s cube.

In the given expression minus, plus are the operators, s is the variable,

The expression has five terms

1/2s, -4, 3/4s, 1/8 and -s³ are the terms

Like terms contain the same variable which is raised to the same power.

In the given expression  1/2s and 3/4s are the like terms

Hence,  1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³

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