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MrRissso [65]
3 years ago
6

Describe and compare protraction and retraction

Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

Protraction and retraction are the movements of the mandibule. <em>Protraction is when the lower mandibule is pushed forward and retraction is when the lower jaw is pulled backward. </em>You can see in the image I added the example of these movements.

I hope you find this information useful and interesting! Good luck!

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Five students ran in their schools field day competition. Chris beat Allie by 7 yards but he was 2 yards behind Elena. Derrick f
anzhelika [568]
From last place to first BART was last the it was DERRICK, ALLIE, and CHRIS and ELENA in first. I hope this helps you! 
4 0
3 years ago
If the expression ax(2x + y - 5) simplifies to 6x² +3xy - 15x, what is the value of a?
nata0808 [166]
Since:
ax(2x + y - 5) = 6x^2 +3xy - 15x,

we should factor X out of the second equation to find out the value of a:
6x^2 + 3xy - 15x =
x(6x + 3y - 15),

Now that we factored X out, to find a, we need to find the other common factor:

(6x + 3y - 15) / (2x + y - 5),

which is 3.

Hence the value of a is 3
3 0
3 years ago
Read 2 more answers
Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. If Faye uses an out-of-network ATM twice
Mars2501 [29]

Answer: the amount of money that she pays in service fees yearly is $234

Step-by-step explanation:

The number of times that Faye uses an out of network ATM is twice in a week. Assuming that the total number of weeks in a year is 52 weeks in a year. It means that the number of times that she uses an out of network ATM in a year is 62 × 2 = 104 times.

Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. It means that the total cost for using an Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM for 104 times will be

2.25 × 104 = $234

4 0
3 years ago
Unit 3: Parallel and Perpendicular Lines<br> Homework 5: Slopes of Lines
NISA [10]
Use the option number 5 and draw a parallel and perpendicular line across to make the slope of the lines collapse
5 0
2 years ago
Philip Morris wishes to determine if there is a difference between the proportion of women and proportion of men who smoke cigar
uranmaximum [27]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the women and men who smoke respectively. The population proportion of women and men who smoke would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of women and men who smoke.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For women

x1 = 14

n1 = 110

p1 = 14/110 = 0.13

For men,

x2 = 7

n2 = 95

p2 = 7/95 = 0.07

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (14 + 7)/(110 + 95) = 0.1

1 - pc = 1 - 0.1 = 0.9

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.13 - 0.07)/√(0.1)(0.9)(1/110 + 1/95)

z = 1.47

From the options given, the test statistic is

e. none of these is correct.

Since it is a right tailed test, we will look at the area to the right of z = 1.47. The p value would be

p value = 1 - 0.9292 = 0.078

Since alpha, 0.005 < than the p value, 0.078, then we would fail to reject the null hypothesis. Therefore, the data does not indicate that the proportion of women who smoke cigarettes is higher than the proportion of men who do at α=.005

8 0
3 years ago
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