Answer:

Step-by-step explanation:

<h3>Can I have the brainliest please?</h3>
Answer:
The student will have to save $404.2 minimum monthly
Step-by-step explanation:
Given that the total cost for the first year= $19,700
The grandparents paid half the amount = 1/2(19700)= $9850
The remaining balance to be paid is
19,700 - 9850=$9850
If an athlete paid $5000
The the remaining balance to be paid = 9850-5000=$4850
For the student to clear this amount in 12 months he must save
monthly 4850/12= $404.166
Hence the minimum amount to be saved per month is $404.2
Answer:
Yes, both np and n(1-p) are ≥ 10
Mean = 0.12 ; Standard deviation = 0.02004
Yes. There is a less than 5% chance of this happening by random variation. 0.034839
Step-by-step explanation:
Given that :
p = 12% = 0.12 ;
Sample size, n = 263
np = 263 * 0.12 = 31.56
n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44
According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004
Z = (x - mean) / standard deviation
x = 22 / 263 = 0.08365
Z = (0.08365 - 0.12) / 0.02004
Z = −1.813872
Z = - 1.814
P(Z < −1.814) = 0.034839 (Z probability calculator)
Yes, it is unusual
0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.
Use point slope form to answer this
Y = x - 10
<h2>
Answer:</h2>
<u>By supplementary angle property</u>,
x + 78° = 180°
x = 180° - 78°
x = 102°.