Kevin works for a car dealership as a sales support person. He is paid $300 a week plus $5 for every car the dealership sells that week as an incentive to help with sales.

Write an explicit definition that defines Kevin's paycheck.

Let n = the number of cars

A
an=300+5n

B
an=300⋅5n

C
an=300n+5

D
an=300−5n

Answer:

Step-by-step explanation:

Here are the missing values;

Mean μ = 15.5 minutes

Standard deviation = 1.7 minutes

A Random sample of 90 completion

The sample mean = 15.4 minutes

Level of significance = 0.1

Then the following analysis can be made on the above study.

Firstly, the null hypothesis is [tex]\mathbf{H_o : \mu = 15.5}[/tex]

the alternative hypothesis is [tex]\mathbf{H_a: \mu < 15.5}[/tex]  

Since, the value is less than, then this is a one-tailed test.

The Z test statistics can be computed as:

[tex]Z = \dfrac{ \overline x - \mu }{\dfrac{\sigma}{\sqrt{n}} } \ \ \sim \ \ N(0.1)[/tex]

[tex]Z = \dfrac{ 15.4-15.5 }{\dfrac{1.7}{\sqrt{90}} }[/tex]

[tex]Z = \dfrac{ -0.1 }{\dfrac{1.7}{ 9.4868} }[/tex]

Z = −0.560

The critical value of Z at 0.1  level  of significance is:

[tex]Z_{0.1} = -1.28[/tex]

Decision Rule: We fail to reject the null hypothesis sInce -0.560 > -1.28

Conclusion: NO, there is no evidence to support the claim that the mean completion time has decreased. We conclude that the mean completion time remains at 15.5 minutes.

Answer:

The last option line DG is congruent to line GE

Step-by-step explanation:

Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side

So basically G is the midpoint of DE because FG is the median.

The last option, we can conclude that line DG is congruent to line GE

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.

We are given that FG is an median.

Thus, basically G becomes the midpoint of DE because FG is the median.

So, DG = GE

Hence,

The last option, we can conclude that line DG is congruent to line GE

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Answer:

C. x > -3

Explanation:

The circle with no filling means it can not be equal

It goes ahead of -3 so it is greater than -3

Answer:

Um.. Im not sure about this one.. you're in college?

Step-by-step explanation:

Answer:

50 children in total

Step-by-step explanation:

question is really asking this:  9 is 18% of what number

9 = .18x

9/.18 = 50

Answer:

65.94cm

Step-by-step explanation:

The two equivalent equations to find the circumference of a circle are:

Circumference = 2 * pi * radius

Circumference = pi * diameter

Since the diameter of the circle is given, in order to find circumference, plug in 21cm into the 2nd equation:

Circumference = pi * diameter = pi * 21 cm = 3.14 * 21 = 65.94 cm

Answer: Um, I think is [tex]\frac{x}{2-3}[/tex].

Step-by-step explanation:

Answer:

0.82 L

Step-by-step explanation:

Answer: 0.82 liters

Step-by-step explanation:

Answer:

When the two lines being crossed are Parallel Lines the Consecutive Interior Angles add up to 180°. so yes

Step-by-step explanation:

Answer:

$8,400=amount of loan

Step-by-step explanation:

Key:

P=Money borrowed

T=5 years (time passed)

R=0.025 (interest rate)

I=$1050 (interest charged)

Formula: I=P*R*T

Work:

1,050=P*0.025*5

1,050=P*0.125

1,050/0.125=8,400

Check

8,400*0.025*5=1,050

(thank you 7th grade math last year haha)

Answer:

I think that answer is 5 or 35

Answer:

B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.

An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.

Normally, the legs are a and b, and the hypotenuse is c, and we have

a^2 + b^2 = c^2

Here the legs are congruent, so we have a = b.

Substituting a for b, we have

a^2 + a^2 = c^2

2a^2 = c^2

c^2 = 2a^2

c = a√2

Answer: B) Hypotenuse = Leg ∙ √2

Answer:

progably B) Hypotenuse = Leg ∙ √2

Step-by-step explanation:

Answer: -7

Step-by-step explanation:

I’m doing the test

Answer:

a+b/2×h=56

Step-by-step explanation:

thanks needed.......

Answer:

240 miles/ 8 miles

Step-by-step explanation:

you can't measure a mile per mile (/=per)

Answer:

Step-by-step explanation:

a. 35 greater than or equal to 14 + x

   35 - 14 = 21

   x = $21

b. If the shirt is 30% off it would cost $9.80

   14 x 0.3 = 4.2

   14 - 4.2 = 9.8

   35 is greater than or equal to 9.80 + x

   35 - 9.8 = 25.2

   x = $25.20

   This changes the inequality by making x greater than it was in part a

c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.

Answer:

Step-by-step explanation:

Lol what is this question man. If he bought it for $34, pretty sure the "selling price" is $34.00

Answer:

$34.00

Step-by-step explanation:

if he get it for $34.00 so the selling price is $34.00

Answer:

simplified it is 75 the square root of 75 is 8.66025403784

Step-by-step explanation:

Answer:

800,004,500

Step-by-step explanation:

9514 1404 393

Answer:

  y = 3 -x

Step-by-step explanation:

Subtract x from both sides of the equation.

  x -x +y = 3 -x

  y = 3 - x

Answer:

y=3-x

explanation

its that

Answer:

$0.44 each

Step-by-step explanation:

3.08/7 = 0.44

The required cost in dollars per orange is $0.44.

Given that,
A grocery store sells a bag of 7 oranges for $3.08. What is the cost of oranges, in dollars per orange is to be determined.

The ratio can be described as the proportion of the fraction of one amount towards others. e.g.- water in milk.

In mathematics, it deals with a number of functions according to the statements.

here,
Let the cost of 1 orange = $x
The grocery store sells a bag of 7 oranges for $3.08.
So for 1 orange,
x = 3.08 / 7
x = $ 0.44

Thus, the required cost in dollars per orange is $0.44.

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Answer:

Jesus I can't help, I would take the educational guess if I was you

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Process of elimination.

It can't be B or D cause those say that the temp go down while in your graph it goes up, and C is saying that it rises and becomes constant while in your graph it's the other way around.

Answer:

A.

Step-by-step explanation:

I said so

Answer:

y = -20x + 300

Step-by-step explanation:

y is total amount of money left (because this is the answer we are trying to find.)

x is the amount of times she goes to the ATM (because this is our unknown variable.)

-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.

Answer:

f(2)=9

Step-by-step explanation:

In order to have 4 kg, he must have 20/5 kg. Each bag is 2/5 kg, so 2/5 times 10 is 20/5 or 4kg. Therefore, he bought 10 bags of tangerines for the school party.

Answer:

The possible value of F must be 5N.

Step-by-step explanation:

A vector quantity is a quantity that comprises of both magnitude and direction. And an example of a vector quantity is force.

In the given question, the pointing arrows are two forces in action, pushing the box in opposite directions.

If the values of both forces pointing left and right are equal, the box would not move. This implies that the two forces are balanced, so the box would be at a state of dynamic equilibrium.

If the box moves to the right, it implies that the force F is less than that pointing right i.e 6N > F.

Therefore, the possible value of F is less than 6N. Thus, F = 5N.

Answer:

I think A

Step-by-step explanation: