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nata0808 [166]
2 years ago
5

A corporate team-building event costs $1, plus an additional $1 per attendee. Write an equation that shows the relationship betw

een the attendees x and the cost y.Write your answer as an equation with y first, followed by an equals sign.
Mathematics
1 answer:
Elis [28]2 years ago
6 0

The equation is y=x+1

Here's an explanation:

The equation starts out with y since that's what we're told to do. Since the even costs $1, then the total cost would be the total number of attendees +1. The variable for attendees is x, and since the additional cost is $1 per attendee, you don't have to multiply x with anything. So, the answer would be y=x+1. (Everything's in dollars)

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Two machines are used for filling plastic bottles to a net volume of 16.0 ounces. A member of the quality engineering staff susp
aleksandrvk [35]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the two machines are filling the bottles with a net volume of 16.0 ounces or if at least one of them is different.

The parameter of interest is μ₁ - μ₂, if both machines are filling the same net volume this difference will be zero, if not it will be different.

You have one sample of ten bottles filled by each machine and the net volume of the bottles are measured, determining two variables of interest:

Sample 1 - Machine 1

X₁: Net volume of a plastic bottle filled by the machine 1.

n₁= 10

X[bar]₁= 16.02

S₁= 0.03

Sample 2 - Machine 2

X₂: Net volume of a plastic bottle filled by the machine 2

n₂= 10

X[bar]₂= 16.01

S₂= 0.03

With p-values 0.4209 (for X₁) and 0.6174 (for X₂) for the normality test and using α: 0.05, we can say that both variables of interest have a normal distribution:

X₁~N(μ₁;δ₁²)

X₂~N(μ₂;δ₂²)

Both population variances are unknown you have to conduct a homogeneity of variances test to see if they are equal (if they are you can conduct a pooled t-test) or different (if the variances are different you have to use the Welche's t-test)

H₀: δ₁²/δ₂²=1

H₁: δ₁²/δ₂²≠1

α: 0.05

F= \frac{S^2_1}{S^2_2} * \frac{Sigma^2_1}{Sigma^2_2} ~~F_{n_1-1;n_2-1}

Using a statistic software I've calculated the test

F_{H_0}= 1.41

p-value 0.6168

The p-value is greater than the significance level, so the decision is to not reject the null hypothesis then you can conclude that both population variances for the net volume filled in the plastic bottles by machines 1 and 2 are equal.

To study the difference between the population means you can use

t= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2}{Sa\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }  ~~t_{n_1+n_2-2}

The hypotheses of interest are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

α: 0.05

Sa= \sqrt{\frac{(n_1-1)S^2_1+(N_2-1)S^2_2}{n_1+n_2-2}} = \sqrt{\frac{9*9.2*10^{-4}+9*6.5*10^{-4}}{10+10-2} } = 0.028= 0.03

t_{H_0}= \frac{(16.02-16.01)-0}{0.03*\sqrt{\frac{1}{10} +\frac{1}{10} } } = 0.149= 0.15

The p-value for this test is: 0.882433

The p-value is greater than the significance level, the decision is to not reject the null hypothesis.

Using a significance level of 5%, there is no significant evidence to reject the null hypothesis. You can conclude that the population average of the net volume of the plastic bottles filled by machine one and by machine 2 are equal.

I hope this helps!

8 0
3 years ago
I WILL AWARD BRAINLIEST!! PLEASE HELP!!!
lana66690 [7]

A.

speed =  \frac{distance}{time}

from the question,

the total speed for the pedestrian is

40km and the total time is 10hr

substitute them in the formula, we get

speed =  \frac{40}{10}

speed = 4km/hr

B. 10hrs - 6hrs = 4hours

C. BC is deacceleration = -dv/dt

CD is constant acceleration = dt = 0

6 0
2 years ago
Use the dot plot to answer the question.
mr Goodwill [35]

Answer:

The mean of the data set = 3.6  

Step-by-step explanation:

Please check the dot plot which is attached below.

As we know that we can determine mean from the dot plot by adding the numbers and then divide the resulting sum by the number of addends.

From the dot plot it is clear that:

  • 3 dots appear at 1
  • 4 dots appear at 2
  • 3 dots appear at 3
  • 4 dots appear at 4
  • 5 dots appear at 5
  • 3 dots appear at 6

So adding all the dots with respect to their values on the plot number by the total number of dots.

Thus

Mean = (1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6) ÷ 22

          =\:\frac{79}{22}

          = 3.6

Hence, the mean of the data set = 3.6  

6 0
3 years ago
A piano that cost Sunset Planos 83, 250 has a markup rate of 52%. Find the selling price of the piano
Yanka [14]

Answer:

$160,096.15

Step-by-step explanation:

the key word in this problem is the words markup price meaning an increase of 52% from the $83,250 so divide the $83,250 by 52% or .52

6 0
2 years ago
Plssss helppp 10 points
Rainbow [258]

Answer:

The five dots above the number three represent the number of <u><em>students</em></u> that have three E-Mail accounts. The number of students that have three accounts is five.

8 0
3 years ago
Read 2 more answers
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