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2 years ago

Yousef is saving money to buy a new bike. He will save $8 per week. How much will he save in 6 weeks?

Mathematics

2 answers:

topjm [15]2 years ago

8 0

I say 48 because 8 x 6 is 48

Dimas [21]2 years ago

4 0

48! Because you need to multiply 8x6 and the answer is 48

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An automatic car wash takes exactly 5 minutes to wash a car. On average, 10 cars per hour arrive at the car wash. Suppose that,

77julia77 [94]

Answer:

0.9595724

Step-by-step explanation:

Time taken to wash a car (μ) = 5 minutes

Hence, Number of cars washed per hour = 60/5 = 12 cars

If 5 cars arrive, 30 minutes to closing ; it takes 25 minutes to finish up ;

If 1 more car arrives, then it takes exactly 30 minutes

Hence, there will be no one in line at closing ;

IF 0 or 1 car arrives, if more than 1 car arrives, then there will be people in line at closing.

Hence, probability of waiting in line at closing :

1 - [p(0) + p(1)]

Using poisson :

P(x) = [(e^-μ) * (μ^x)] / x!

If x = 0

P(0) = [(e^-5) * (5^0)] / 0!

P(0) = (0.0067379 * 1) / 1

P(0) = 0.0067379

X = 1

P(1) = [(e^-5) * (5^1)] / 1!

P(0) = (0.0067379 * 5) / 1

P(0) = 0.0336897

Hence,

1 - (0.0067379 + 0.0336897)

1 - 0.0404276

= 0.9595724

Hence, the probability that anyone would be in the car washing line after closing is 0.9595724

4 0

3 years ago

Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet

zmey [24]

Answer:

$\sin \theta = \dfrac{5}{13}$ and $\sec \theta = -\dfrac{13}{12}$

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

$hypotenuse^2=perpendicular^2+base^2$

$hypotenuse^2=(5)^2+(12)^2$

$hypotenuse^2=25+144$

$hypotenuse^2=169$

Taking square root on both sides.

$hypotenuse=13$

In a right angled triangle

$\sin \theta = \dfrac{opposite}{hypotenuse}$

$\sin \theta = \dfrac{5}{13}$

$\sec \theta = \dfrac{hypotenuse}{adjacent}$

$\sec \theta = \dfrac{13}{12}$

In second quadrant only sine and cosecant are positive.

$\sin \theta = \dfrac{5}{13}$ and $\sec \theta = -\dfrac{13}{12}$

6 0

4 years ago

Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry.

Tcecarenko [31]

Answer:

Mean = sum of all numbers in dataset / total number in dataset

Mean = 8130/15 = 542

Median:

The median is also the number that is halfway into the set.

For median, we need to sort the data and then find the middle number which in our case is 546. Below is the sorted data

486 516 523 523 529 534 538 546 548 551 552 558 566 574 586

Standard Deviation (SD). Here X represents dataset and N= count of numbers in data

As per the SD formula, which is Sqrt ( sum (X_i - Meanx(X))/(N-1))

SD= 25.082

2) Formula for coefficient of skewness using Pearson's method (using median) is,

SK = 3* ( Mean (X) - Median(X))/(Standard Deviation) = 3*(542-546)/25.082 = -0.325

3) coefficient of skewness using the software method is also same which is -0.325

4 0

3 years ago

What equation represents the linear equation shown in the graph? Enter your answer in the box. Write your answer in the form y =

leonid [27]

It would be y = -1/4x + 4

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3 years ago

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How do you work out the unit rates?

ElenaW [278]

You work out unit rates by making the denominator 1

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3 years ago

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