Answer:
2.82 seconds (3 sf)
Step-by-step explanation:
s = ut + 0.5at²
6 = -95(sin25)t + 0.5(32)t²
16t² - 40.14873487t - 6 = 0
t = 2.818501699, -0.1419193751
t is time so can't be negative.
Therefore, t = 2.82s (3 sf)
Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation =
= 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:

For z = -1.56, we get:

For z = -0.88, we get:

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
Answer:
A is $0.45 B is 2 ounces
Step-by-step explanation:
A when you divide the cost by the ounces or $5.40 by 12 ounces you get $0.45 per ounce.
B $0.45 times 2 equals 90 cents and you cannot go over 1 dollar.
C you should be to do along with D with this information.
Answer:
t < 1/2
Step-by-step explanation:
Isolate the <u>v</u><u>a</u><u>r</u><u>i</u><u>a</u><u>b</u><u>l</u><u>e</u> by dividing each side by <u>f</u><u>a</u><u>c</u><u>t</u><u>o</u><u>r</u><u>s</u> that don't contain the <u>v</u><u>a</u><u>r</u><u>i</u><u>a</u><u>b</u><u>l</u><u>e</u>.
Inequality Form: t < 1/2
Interval Notation: ( -infinity, 1/2)
Answer:
Step-by-step explanation:
This is classic right triangle trig. First decide how each side is related to the angle theta. The side 7.7 is opposite the angle theta, while the side 14 is adjacent. That is the tangent ratio by definition. Setting up the tan ratio:

To find a missing angle on your calculator, hit the 2nd button, then the tan button and enter in 7.7/14 and hit enter. You should get an angle measure of 28.8°
If you did not get 28.8 then you are probably in radians. Check it in the "mode" of your calculator.