Answer:
The correct answer is = p = 15 and q = 6.
Step-by-step explanation:
Given:
Perimeter of rectangle = 42 cm
p - q = 9 cm
length = p
width = q
we know:
Perimeter of rectangle= 2(l+w)
solution:
42 = 2(P+q)
21= p+q
Difference of p and q = 9 cm.
Then, P+q=21 .... 1
P-q=9 ....2
Adding both 1 and 2
2P = 30
P= 15cm and
q = 15-9
= 6cm
Answer:
B) 12 hours
Explanation
Max can read 150 words per minute. 350 words per page divided by 150 is 2.333, so max can read 1 page in around 2 minutes. There are 310 pages. 2.333 * 310 is around 723. 723 minutes converted to hours is 12 hours. Boom. Done.
Answer:
-6 ≤x
Step-by-step explanation:
3x-2≤5(x+2)
Distribute
3x-2≤5x+10
Subtract 3x
3x-2-3x≤5x +10-3x
-2 ≤2x+10
Subtract 10 from each side
-2-10 ≤2x+10-10
-12 ≤2x
Divide by 2
-12/2≤2x/2
-6 ≤x
Complete question :
Standardized tests: In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 532 and the standard deviation was 128. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is
Answer:
1.26
Step-by-step explanation:
Given that:
For ACT:
Mean score, m = 19.3
Standard deviation, s = 5.3
Zscore for ACT score of 26;
Using the Zscore formula :
(x - mean) / standard deviation
x = 26
Zscore :
(26 - 19.3) / 5.3
= 6.7 / 5.3
= 1.2641509
= 1.26
Answer:
B
Step-by-step explanation:
find the area of the rectangle and then find the area of the semi circle, then add the 2 together