MATHEMATICS COLLEGE

Write an equation in point-slope form for the line through the given point with the given slope.(8, –3); m = -1/4

Answers

Answer 1

Answer:

Answer:

y+3 = -1/4(x-8)

Step-by-step explanation:

Point slope form is y-y1 = m(x-x1) where m is the slope and (x1-y1) is a point on the line

(y- -3) =-1/4(x-8)

y+3 = -1/4(x-8)

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Jacob went to Walmart to buy a water cooler for $4650. Walmart offered an off-season discount of 18%. How much did Jacob pay for the water cooler?

Answers

Answer:3813

Step-by-step explanation:

First, turn the discount percentage to a decimal

18%= .18

Multiply the decimal by the original price

.18 x 4650= 837

Subtract that amount from the original price to get the discount

4650-837= 3813

3 cards are drawn from a standard deck of 52 playing cards. How many different 3-card hands are possible if the drawing is done without replacement?

Answers

Since you start with 52 cards, and are drawing 3 cards you multiply 52 * 51 * 50 then divide that product by 3 * 2 because it doesn’t matter what order the cards are drawn in. 52 * 51 * 50/ 3 * 2 = 22,100 different combinations of 3 cards

...hope it helps you...all the best

The lines shown below are parallel. If the green line has a slope of -1/2, what is the slope of the red line? A.
2

B.
-

C.
-2

D.

Answers

Answer: B) -1/2

Explanation: Parallel lines have the same slopes, but different y intercepts.

Answer:

the slope of the red line is also -1/2

Step-by-step explanation:

Translate the following into algebraic expressions: The first class has a kids in it, the second has b kids in it, and the third class has c kids in it. The kids from all three classes are divided equally between two buses. How many kids are in each bus?

Answers

Answer:

(a + b + c)/2

Step-by-step explanation:

Number of kids in first class: a

Number of kids in second class: b

Number of kids in third class: c

The total number of kids in all classes is: a + b + c

The total number of kids is divided equally between 2 buses:

(a + b + c)/2

Answer:

(a + b + c)/2

Step-by-step explanation:

;)

Data on caloric intake or teens for two types of diet are given below. Typical Diet Caloric intake Sample mean St. Dev.
No fast food 2310 2295 2280 2340 2235 2265 2315 2291.429 34.8466
food Fast 2579 2160 2165 2580 2558 2591 2614 2518 2583.125 33.0646

Give a 95% confidence interval for the difference of the two means, (Uf - Un), where is the mean calorie intake for teens who typically eat fast food and is that for teens who do not typically eat fast food assuming two normal populations, independent random samples, and equal variances for the two populations

Answers

Answer:

Step-by-step explanation:

For "no fast food,

n1 = 9

Mean = (2310 + 2295 + 2280 + 2340 + 2235 + 2265 + 2315 + 2291.429 + 34.8466)/9

Mean, m1 = 2041

Standard deviation, s1 = √summation(x - u)²/n

summation(x - u)² =

(2310 - 2041)^2 + (2295 - 2041)^2 + (2280 - 2041)^2 + (2340 - 2041)^2 + (2235 - 2041)^2 + (2265 - 2041)^2 + (2315 - 2041)^2 + (2291.429 - 2041)^2 + (34.8466 - 2041)^2

= 4533653.14837256

s = √4533653.14837256/9

s = 709.75

For " fast food",

n2 = 10

Mean = (2579 + 2160 + 2165 + 2580 + 2558 + 2591 + 2614 + 2518 2583.125 + 33.0646)/10

Mean,m2 = 2238

summation(x - u)² =

(2579 - 2238)^2 + (2160 - 2238)^2 + (2165 - 2238)^2 + (2580 - 2238)^2 + (2558 - 2238)^2 + (2591 - 2238)^2 + (2614 - 2238)^2 + (2518 - 2238)^2 + (2583.125 - 2238)^2 + (33.0646 - 2238)^2

= 5672294.38379816

s2 = √5672294.38379816/10

s2 = 753.15

For a confidence interval of 95%, z = 1.96

The formula for confidence interval is

m1 - m2 ± z × √(s1²/n1 + s2²/n2)

= 2041 - 2238 ± 1.96 × √(709.75²/9 + 753.15²/10)

= - 197 ± 1.96 × √(55971.6736 + 56723.4923)

= - 197 ± 1.96 × 335.7

= - 197 ± 657.972

The lower end of the interval is

- 197 - 657.972 = - 854.972