Answer:
to ensure 90° corners, the lengths of the diagonal should be the same
Step-by-step explanation:
The Pythagorean theorem can be used to find the expected length of the diagonal. It tells you the square of the diagonal is the sum of the squares of the sides:
d² = (10 ft)² + (6 ft)² = 136 ft²
d = √136 ft ≈ 11.6619 ft ≈ 11 ft 7 15/16 in
The length of each diagonal should be very nearly 11 feet 7 15/16 inches.
5x-y=-8 | subtract 5x from both sides.
-y = -5x - 8 | divide both sides by -1
y = 5x + 8 Done.
<h3>
Answer: Negative</h3>
======================================================
Explanation:
3/7 = 0.42857 approximately
Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2
Plug x = 2 into the f(x) function
f(x) = (x - 5)(2x + 7)(7x-3)
f(2) = (2 - 5)(2*2 + 7)(7*2-3)
f(2) = (2 - 5)(4 + 7)(14-3)
f(2) = (-3)(11)(11)
f(2) = -363
The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.
Answer:
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.
Step-by-step explanation:
Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.
It found that 368 of the Indians and 130 Asians listened to rap music every day.
Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.
Alternative hypothesis:- 
Level of significance α = 0.05
The test of statistic
where 
p = 0.414
and q = 1-p = 1- 0.414 =0.586
on calculation , we get
z = 0.300 ><1.96 at 95 % level of significance
H0 is accepted
there is no difference between the proportions of Indian and Asian young people who listen to rap every day.
Answer:
Marie Skłodowska Curie (born Maria Salomea Skłodowska (Polish: [ 7 November 1867 – 4 July 1934), was a Polish and naturalized-French physicist and chemist who conducted pioneering research on radioactivity. As the first of the Curie family legacy of five Nobel Prizes, she was the first woman to win a Nobel Prize, the first and the only woman to win the Nobel Prize twice, and the only person to win the Nobel Prize in two scientific fields. She was the first woman to become a professor at the University of Paris in 1906.[4]
Step-by-step explanation:
