Answer:
They are not parallel
Step-by-step explanation:
original equation
10x + 3y = -3
subtract 10x
3y = -10x - 3
divide by 3
y = -10/3x - 1
original equation
5x - 4y = -3
subtract 5x
-4y = -5x-3
divide by -4
y = 5/4x + 3/4
the slopes are not equal to each other (5/4x and -10/3x) so they are not parallel
Answer:
T = 530N + 250
Step-by-step explanation:
For the first plan, Heather will deposit $250 and then save $135 per month.
So, that is 250 + (135 x N) where N is the number of months she saves the $135.
So if it is for 3months,
We will have:
t¹ = 135N + 250
= 250 + (135 x 3)
= 250 + 405
= $655
For the second plan, there is no initial deposit, but she will save $395 per month.
That is 395 x N
t² = 395N
For 3months, we have 395 x 3 = $1185
Therefore the total for both plans in 3months = 655 + 1185 = $1840
Equation relating T to N
T = t¹ + t²
T = (135N + 250) + 395N
T = 135N + 250 + 395N
T = 530N + 250
It i 104 oz
Hope This Helps
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: number of daily text messages a high school girl sends.
This variable has a population standard deviation of 20 text messages.
A sample of 50 high school girls is taken.
The is no information about the variable distribution, but since the sample is large enough, n ≥ 30, you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal:
X[bar]≈N(μ;δ²/n)
This way you can use an approximation of the standard normal to calculate the asked probabilities of the sample mean of daily text messages of high school girls:
Z=(X[bar]-μ)/(δ/√n)≈ N(0;1)
a.
P(X[bar]<95) = P(Z<(95-100)/(20/√50))= P(Z<-1.77)= 0.03836
b.
P(95≤X[bar]≤105)= P(X[bar]≤105)-P(X[bar]≤95)
P(Z≤(105-100)/(20/√50))-P(Z≤(95-100)/(20/√50))= P(Z≤1.77)-P(Z≤-1.77)= 0.96164-0.03836= 0.92328
I hope you have a SUPER day!