Answer:
3/4 of an hour
Step-by-step explanation:
To find the leftover time, subtract the total allotted time by the time used.
First make sure they have common denominators.
1 1/2 = 3/2 = 6/4
6/4 - 3/4 = 3/4
Tessa has 3/4 of an hour left.
Answer:
Step-by-step explanation:
Hello!
The objective is to estimate the average time a student studies per week.
A sample of 8 students was taken and the time they spent studying in one week was recorded.
4.4, 5.2, 6.4, 6.8, 7.1, 7.3, 8.3, 8.4
n= 8
X[bar]= ∑X/n= 53.9/8= 6.7375 ≅ 6.74
S²= 1/(n-1)*[∑X²-(∑X)²/n]= 1/7*[376.75-(53.9²)/8]= 1.94
S= 1.39
Assuming that the variable "weekly time a student spends studying" has a normal distribution, since the sample is small, the statistic to use to perform the estimation is the student's t, the formula for the interval is:
X[bar] ± 
* (S/√n)
6.74 ± 2.365 * (1.36/√8)
[5.6;7.88]
Using a confidence level of 95% you'd expect that the average time a student spends studying per week is contained by the interval [5.6;7.88]
I hope this helps!
Answer: y = -4x/5 + 13
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the line.
The equation of the given line is
y = 5x/4 - 2
Comparing with the slope intercept form, slope = 5/4
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line passing through (10, 5) is - 4/5
To determine the y intercept, we would substitute m = - 4/5, x = 10 and y = 5 into y = mx + c. It becomes
5 = - 4/5 × 10 + c
5 = - 8 + c
c = 5 + 8 = 13
The equation becomes
y = -4x/5 + 13
Answer:
H + P = 14
3.50H + 2.50P = 43
Step-by-step explanation:
Given that
H denotes half gallons of ice cream
P denotes packages of ice cream cones
Now
H + P = 14
And,
3.50H + 2.50P = 43
So, the systems of equations would be
H + P = 14
3.50H + 2.50P = 43
