Complete question is;
Mia is tracking her savings account balance. She knows the equation y = 8000p^(t) can be used to find her balance y in any year t, but she can't remember what p represents. Her balance 3⅔ years after opening her account, is $9,905.54. What is the value of p?
Answer:
p = 1.06
Step-by-step explanation:
We are told that the equation y = 8000p^(t) can be used to find her balance y in any year t.
Now, we are given t = 3⅔ = 11/3 years
Also, we are given balance after 11/3 years as;
y = $9,905.54
Thus;
Plugging the relevant values into y = 8000p^(t), we have;
9,905.54 = 8000p^(11/3)
p^(11/3) = 9905.54/8000
p = (9905.54/8000)^(3/11)
p = 1.06
Since only half of the 8 white eggs are cracked, then there are 4 cracked, white eggs. The probability of drawing one of these 4 from the 18 total eggs is 4/18 which simplifies to 2/9 or 22%.
I hope this was quick enough haha, have a nice day and remember that Jesus loves you <3
x=9 because the triangle is equilateral which means every side is equal to 60. When you do the math you get 7x-3=60 which is 7x=63 and 63/7=9
Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Answer:
59.5
Step-by-step explanation:
area of the triangle is (7 x 3)/2=21/2=10.5
area of the square 7x7=49
