Answer:
t=0 or t=44
Step-by-step explanation:
There are a few methods to do this, the most obvious being the use of the quadratic formula.
However, a quick check with a calculator or even your mind will reveal that 704 is divisible by 16. Thus we can solve this through factoring.
-16t(t-44)=0
Using the zero factor principle:
-16t=0 and so t=0
t-44=0 and so t=44
And thus we get the solution.
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
we have
10 3/11 + 3 9/11=(10+3)+(3/11+9/11)=13+(12/11)=13=(13=(
Answer:
Customer has bought too much sand
Step-by-step explanation:
Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.
Volume of a rectangular box = Length * Width * Height
=> 6*5*1.2
=> 36 cubic feet
As mentioned, customer bought a sand box and <u>40 cubic feet of sand.</u>
So,
Volume of rectangular box (R) = 36 cubic feet
Volume of Sand (S) = 40 cubic feet
From analysis
S > R
Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.
Therefore, customer has bought too much sand.
Answer:
The value of f(1) is larger than the value of f(3)
Step-by-step explanation:
Put the numbers in the equation and do the arithmetic.
f(1) = -2(1²) +3(1) +10 = 11
f(3) = -2(3²) +3(3) +10 = 1
11 is larger than 1, so f(1) is larger than f(3).
