MATHEMATICS COLLEGE

7. Write the slope-intercept form of the equation of the line.
slope = -5 , y - int = -1

Answers

Answer 1

Answer:

Answer:

Y=-1/5x-1

Step-by-step explanation:

Combine the slope then the slope intercept.

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Heights of women (in inches) are approximately N(64.5,2.5) distributed. Compute the probability that the average height of 25 randomly selected women will be bigger than 66 inches.

Answers

Answer:

the probability that the average height of 25 randomly selected women will be bigger than 66 inches is 0.0013

Step-by-step explanation:

From the summary of the given statistical dataset

The mean and standard deviation for the sampling distribution of sample mean of 25 randomly selected women can be calculated as follows:

$\mu_(\overline x) = \mu _x$ = 64.5

$\sigma_(\overline x )= (\sigma)/(\sqrt n)$

$\sigma_(\overline x )= \frac{2.5}{\sqrt {25}}$

$\sigma_(\overline x )= (2.5)/(5)$

$\sigma_(\overline x )$ = 0.5

Thus X $\sim$ N (64.5,0.5)

Therefore, the probability that the average height of 25 randomly selected women will be bigger than 66 inches is:

$P(\overline X > 66) = P ( (\overline X - \mu_\overline x)/(\sigma \overline x )>(66 - 64.5)/(0.5) })$

$P(\overline X > 66) = P ( Z>(66 - 64.5)/(0.5) })$

$P(\overline X > 66) = P ( Z>(1.5)/(0.5) })$

$P(\overline X > 66) = P ( Z>3 })$

$P(\overline X > 66) = 1- P ( Z<3 })$

$P(\overline X > 66) = 1- 0.9987$

$P(\overline X > 66) =0.0013$

the probability that the average height of 25 randomly selected women will be bigger than 66 inches is 0.0013

The average customer waiting time at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new system will decrease average customer waiting time in the store. What is the null and alternative hypothesis for this scenario? (Ch10)A. H0: m =7.5 and H1:m ? 7.5

B. H0: m <=7.5 and H1:m > 7.5

C. H0: m >=7.5 and H1:m < 7.5

D. H0: m <7.5 and H1:m >=7.5

E. H0: m >7.5 and H1:m <= 7.5

Answers

Answer: C . $H_0:\mu\geq7.5$ and $H_a:\mu<7.5$

Step-by-step explanation:

Definition:

Null hypothesis $(H_0)$ is a statement about the population parameter according to the objective raised by the researcher . It contains '=' , '≤' and '≥' signs.

Alternative hypothesis $(H_a)$ is also a statement about the population parameter but against null hypothesis . It contains '≠' , '<' and '>' signs.

Let $\mu$ be the average customer waiting time for the population.

Given : The average customer waiting time at a fast food restaurant has been 7.5 minutes.

Objective of test : After using new system , the average customer waiting time is at least 7.5 or less than 7.5.

Then, the null and alternative hypothesis for this scenario will be :

$H_0:\mu\geq7.5$

$H_a:\mu<7.5$

Find the slope of the line that contains the points:
(-6, 3) and (-4, 5).

Answers

Answer:

slope m=1

Step-by-step explanation:

m=y2-y1/x2-x1

m=5-3/-4-(-6)

m=5-3/-4+6

m=2/2

m=1

Please help its vocab matching

Answers

Answer:

1. S

2. G

3. I

4. O

5. P

6. D

7. C

8. F

9. J

10. Q

11. E

12. K

13. R

14. A

15. B

16. N

17. M

18. L

19. H

Step-by-step explanation:

4. O

→ 3 is a coefficient of 3x

5. P

→ 3 is a common factor in the expression 3x+9

6. D

→example of a constant term is 1,3,10

7. C

→ $cosx=(adjacent)/(hypotenuse) =(A)/(H)$

8. F

→ $x^(2) -4$ will be factorised as (x-2)(x+2)

9. J

→ example of an expression is $2x+9$

10. Q

→ factors of 3 are 3×1.

11. E

→ example of factoring is $(x+2)(3x+4)$

12. K

→ example of a factored completely is $2x(x+y)$

14. A

→example of a polynomial is $3yx^(3) +xy^(2) -2x+9$ .

15. B

→ example of a quadratic expression is $x^(2) +6x-9$ .

17. M

→ $sinx=(opposite)/(hypotenuse) =(O)/(H)$

18. L

→ $tanx=(opposite)/(adjacent) =(O)/(A)$

19. H

→ example of a term is 2x,3,40

Juan and Rob Are selling cookie dough for a school fundraiser Juan Has t Cookie dough Orders Rob has 40 cookie dough orders they have a total of 75 cookie dough orders all together

Answers

Answer:

Juan has 35 orders

Step-by-step explanation:

you subtract 40 from 75 to get 35

The sum of the lengths of is 24.62 cm. The length of is 3 cm and the length of is 17.8 cm. What is the length of and what kind of triangle is this?A. 3.82 cm; scalene
B. 3.82 cm; isosceles
C. 3.92 cm; scalene
D. 3.92 cm; isosceles

Answers

Answer:

$the \: third \: length \: \n 24.62 - 3 - 17.8 = 3.82 \n \n because \n \: 17.8 > 3 + 3.82 \n it \: is \: scalene$

Scalene Triangle

A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.

Isosceles Triangle

In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles.

Answer:

B. 3.82 cm; isosceles

Step-by-step explanation:

7. Write the slope-intercept form of the equation of the line.slope = -5 , y - int = -1

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7. Write the slope-intercept form of the equation of the line.
slope = -5 , y - int = -1