Answer:
580 yards long.
Step-by-step explanation:
The distance of the walking tour is = 1 mile
Step 1
We have to convert 1 mile to yards
Therefore ,
1 mile = 1760 yards
Step 2
We are told that the group took a detour that was 300 yards shorter than half the distance of the tour.
The second step would be to find out how many yards is equal to half the distance of the tour.
Half the distance of the tour = 1/2 of a mile
And in step 1 we have converted whole distance of the tour to yards
= 1 mile = 1760 yards.
Hence, Half the distance of the tour = 1760 yards ÷ 2
= 880 yards.
Step 3
The group took a detour that was 300 yards shorter than half the distance of the tour.
This means mathematically,
Half the distance of the tour - 300 yards
= 880 yards - 300 yards
= 580 yards.
Therefore, the detour was 580 yards long.
Answer:
12
Step-by-step explanation:
4 x 3 is 12
Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
Answer:
Triangle B is right
Step-by-step explanation:
Using the converse theorem of Pythagoras.
If the square of the longest side in a triangle equals the sum of the squares of the other 2 sides then the triangle is right.
Triangle A
longest side squared = 36² = 1296
26² + 18² = 676 + 324 = 1000 ≠ 1296
Hence triangle A is not right
Triangle B
longest side squared = 25² = 625
20² + 15² = 400 + 225 = 625 ← correct
Hence triangle B is right
Answer:
E
Step-by-step explanation:
24 is 4 in the ratio so 24÷4 gives 6 and 5x6 is 30 so the hypotenuse is 30 inches
