MATHEMATICS HIGH SCHOOL

Triangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are (–1, 0). What are the coordinates of B? B( , )

Answers

Answer 1

Answer:

Answer:

B' (-2, 3)

Step-by-step explanation:

A(5, 1) to A'(6, -2)

A(6-5, -2-1)

A translation is 1, -3

consider the same translation of B'

therefore, the coordinates of B' is (-2, 3)

Answer 2

Answer:

Answer:

B. -2, 3

Step-by-step explanation:

edge2021

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Nilai 61-70 71-80 81-90 91-100
f 4 8 60 28 Tentukan : a. modus data B. median data

Answers

Untuk menentukan modus data, kita mencari nilai yang paling sering muncul. Dalam kasus ini, tidak ada data yang disediakan, jadi tidak ada modus yang dapat ditentukan.

Untuk menentukan median data, kita mencari nilai tengah. Dalam kasus ini, kita memiliki 100 data, jadi median akan berada pada posisi ke-50. Dalam hal ini, median akan jatuh pada rentang 81-90.

On a particular day, the wind added 2 miles per hour to Jaime's rate when she was rowing with the wind and subtracted 2 miles per hour from her rate on her return trip. Jaime found that in the same amount of time she could row 44 miles with the wind, she could go only 36 miles against the wind.What is her normal rowing speed with no wind?

Answers

Answer:20

Step-by-step explanation:

Given Wind speed is 2 mile/hr

Let jamie speed be x km/hr

Also she covered 44 miles with wind in time t

$44=\left ( x+2\right )t$

Against the wind

$36=\left ( x-2\right )t$

divide the two equations

$(44)/(36)=(x+2)/(x-2)$

11x-22=9x+18

x=20 miles/hr

It is 40 because it gives you the even rate inbetween each of them

Please help me as soon as u can!!

Urgent

thankssss

Answers

Q2 Answer: Experimental = 60%, difference = 10%

Step-by-step explanation:

The prime numbers between 1 and 8 are: 2, 3, 5, and 7.

Theoretical: $(4(prime))/(8(total)) = 50\%$

Experimental: $(12(prime))/(20(total)) = 60\%$

Experimental - Theoretical

= 60% - 50%

= 10%

Problem 1

To find the sample mean, we simply add up all the 40 items and then divide by 40

I will add up the values row by row, and then add up the subtotals to get the grand total

row1: 39+31+38+40+29 = 177

row2: 32+33+39+35+32 = 171

row3: 32+27+30+31+27 = 147

row4: 30+29+34+36+25 = 154

row5: 30+32+38+35+40 = 175

row6: 29+32+31+26+26 = 144

row7: 32+26+30+40+32 = 160

row8: 39+37+25+29+34 = 164

Add up the subtotals: 177+171+147+154+175+144+160+164 = 1292

Divide this over 40: 1292/40 = 32.2

So the sample mean is therefore 32.2

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To find the proportion of defective items, we count the number of times a value less than 26 shows up. That happens exactly two times. The first in row 4 (at the end of this row) is where a 25 shows up. Another copy of 25 shows up in row 8 (bottom row). There are no other values that are less than 26.

Divide this count (2) over the total sample size (40) and we get 2/40 = 1/20 = 0.05

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In summary, 32.2 will go in the first box while 0.05 will go in the second box.

========================================

Problem 2

There are 4 values we want (2,3,5,7) out of 8 total (1,2,3,4,5,6,7,8) so 4/8 = 0.50 = 50% is the theoretical probability

This is the list of values given to us (I broke it up to help make the numbers more readable)

3, 4, 5, 2, 7

1, 3, 7, 2, 6

2, 1, 7, 3, 6

1, 8, 3, 5, 6

Of that list, the primes {3, 5, 2, 7, 3, 7, 2, 2, 7, 3, 3, 5} show up. There are 12 primes in this list out of 20. So the experimental probability is 12/20 = 3/5 = 0.60 = 60%

Therefore, the answer that goes in the "experimental probability" box is 60. The answer that goes in the second box is not 50%. I think your teacher is aiming for "10" to go in the second box because 60% is 10 percentage points higher than 50% (which was the theoretical probability found earlier)

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In summary, 60 will go in the first box while 10 will go in the second box.

A recipe calls for 2/3 of a cup of milk for 11 cookies. How many cups of milk are needed to make 99 cookies?

Answers

Answer:

6 cup of milk

Step-by-step explanation:

From question

for 11 cookies → $(2)/(3)$ of a cup of milk required

Now,

for 99 cookies

we multiply both sides by 9.

11 × 9 = $(2)/(3)$ × 9

for 99 cookies = 6 cup of milk

A student factors 15c^2 + c – 28 to the following.(c + 2)(15c – 14)

Which of the following statement about (c + 2)(15c – 14) is true?
A. The expression is equivalent, and it is completely factored.
B. The expression is equivalent, but it is not completely factored.
C. The expression is not equivalent, but it is completely factored.
D.The expression is not equivalent, and it is not completely factored.