<h2>
Answer: c.) ¹⁵/₄</h2>
Step-by-step explanation:
If we transpose the equation into the slope-intercept form (y = mx + c), the value of c is the y-intercept.
since x + 4y = 15
then 4y = - x + 15
∴ y = -¹/₄ x + ¹⁵/₄
<h3>⇒ the y-intercept for the line x + 4y = 15 is ¹⁵/₄</h3>
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)
B 3:7
If there are 6 mops, and 14 mops and brooms, you get 6:14, which simplifies to 3:7.
dP/dt = 1000 * 9^t is the bacteria population's growth rate.where:P(t) is the population at time t, andP(0) = 6000.
The population after one hour would be:
P(1) = P(0) + <Integral of dP/dt from 0 to 1>
P(1) = P(0) + [ 1000 * 9^1 / ln(9) - 1000 * 9^0 / ln(9) ]
P(1) = 6000 + 3641 = 9461 would be the answer
Answer:
36
Step-by-step explanation:
Hey There!
So if you didn't know all of the angles in a triangle add up to equal 180
so to find the missing angle we subtract the given angles from 180
180-90-54=36
therefore the missing angles is 36