Ryan was adding numbers on a number line. He started at –3 and then he added +2. He wrote that his answer was –5 . Is Ryan's answer reasonable?

A.
No, it is not reasonable because if you start at –3, you will move 2 spaces to the right and get –1.

B.
No, it is not reasonable because if you add two integers, you get a positive integer. The answer is +5.

C.
Yes, it is reasonable because if you start at –3, you will move 2 spaces to the left and get –5.

Answers

Answer 1
Answer: The answer is A because it is -1 because it would go to the right when you add two

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Of a total of 100 buses operated within a particular town, 48 usually run on time and 36 of these buses are owned by Jerry. Of the 52 buses that usually run behind schedule, only 7 are owned by Jerry.

A teacher wants to compare the mean geology scores of two different classes. She is testing the null hypothesis that there is no difference in the population mean scores of the two classes. The difference of the sample means is 51.4. If the standard deviation of the distribution of the difference of sample means is 16.66, what is the 95% confidence interval for the population mean difference? A. between -33.2 and +33.2 B. between -49.9 and +49.9 C. between -102.8 and +102.8 D. between -154.2 and +154.2

Answers

Answer:

Standard deviation(S.D) = √{Mean difference(D²) - Mean(M)}

S.D.= 16.6

Step-by-step explanation: A) M =33.2

∴ S.D = √D² - 33.2

16.66 = √D² - 33.2

D² = 16.66² + 33.2 = 277.56 - 33.2 = 244.36

∴D = √244.36 = 15.6

B) M= 49.9

∴ S.D.=√D² + 49.9

 16.6 =√D² + 49.9

 D² = 16.6² + 49.9 = 277.56 + 49.9 = 327.46

∴ D = √327.46 = 18.1

C) M = 102.8

∴ S.D. =√D² + 102.8

16.66 =√D² + 102.8

D² = 16.66² + 102.8 = 277.56 + 102.8 =  380.36

∴ D =√380.36 = 19.5

D) M = 154.2

∴ S.D. = √D² + 154.2

16.66 =√D² + 154.2

D² = 16.66² + 154.2 =277.56 + 154.2 = 431.76

D =√431.76 = 20.8

a. between -33.2  and +33.2 .  

a bookstore sells 617 books on moday ,498 books on tuesday, and 563 books on wednsday. on which two days did the bookstore sell about 600 books

Answers

monday and wednesday
617 rounds to 600
563 rounds to 600
498 rounds to 500

answer would be Monday and Wednesday

a sweater was on sale for 40% off the regular price.Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?

Answers

The sweater has a discount with is 40% of the regular price.
She saved 20 dollars on  the sweater that she bought.
Let's solve for the original price of the sweater then,
=> 20 dollars = 40%.
Let's look for the 60%.
=> 20 / 4 = 5 dollars is the 10% of the sweater's original price.
=> 5 dollars * 10 = 50 dollars
=> Thus the original price of the sweater is 50 dollars.
If you divide 20 by 40% (20/.4) you get 50. The original price was $50 :)

The zero mark on the number line represents Maya's home. The negative numbers represent the number of feet Mayawalks from her home toward the left. The positive numbers represent the number of feet Maya walks from her home
toward the right
B
С
D
-100
0
100
Which point represents Maya walking 50 feet from her home toward the left?
O Point A
Point B
Point C
O Point D

Answers

Answer: a is the correct answer

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Diagram shows a section of a bridge between the points A and K. The length of line segment is 640 meters. ∆ABC, ∆CDF, and ∆FJK are similar, and 2AC = CF = 2FK. The first pillar, , is 20 meters tall.The area of ∆CDF is square meters.

Answers

AK = 640
Δ ABC and ΔFJK are similar. They are small triangles.
ΔCDF is the big triangle.

640 / 2 = 320 m= CF
AC & FK= 320/2 =  160 m each

2AC = CF = 2FK
2(160) = 320 = 2(160)

BG = 20 m

20/160 = x / 320
20*320 = 160x
6400 = 160x
6400/160 = x
40 = x

Area of CDF = (40 m * 320 m)/2 = 12,800 / 2= 6,400 m²

6,400 meters squared on plato. Just took the test and it is correct.

What is the simplified form of the quantity of x plus 8, all over the quantity of x plus 2 + the quantity of x minus 3, all over 4?

Answers

Answer:  (x^2+3x+26)/(4x+8)

Step-by-step explanation:

Since, according to the question the given expression,

(x+8)/(x+2) + (x-3)/(4)

=(4(x+8)+(x-3)(x+2))/(4(x+2))

=(4x+32+(x-3)(x+2))/(4x+8) (By solving the parenthesis )

=(4x+32+x(x+2)-3(x+2))/(4x+8) ( by distributive property)

=(4x+32+x^2+2x-3x-6)/(4x+8) ( again on applying distributive property)

=(3x+26+x^2)/(4x+8)( by operating like terms)

=(x^2+3x+26)/(4x+8)


(x + 8)/(x + 2) + (x - 3)/(4) = (4(x + 8))/(4(x + 2)) + ((x + 2)(x - 3))/(4(x + 2)) = (4(x) + 4(8))/(4(x + 2)) + (x(x - 3) + 2(x - 3))/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x(x) - x(3) + 2(x) - 2(3))/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x^(2) - 3x + 2x - 6)/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x^(2) - x - 6)/(4(x + 2)) = ((4x + 32) + (x^(2) - x - 6)/(4(x + 2)) = (x^(2) + (4x - x) + (32 - 6))/(4(x + 2)) = (x^(2) + 3x + 26)/(4(x + 2))