Answer: No, the data does not support the claim at 1% level as the mean time is no longer than 4.5 years.
Step-by-step explanation:
Since we have given that
n the California state university system take 4.5 years, on average, to finish their undergraduate degrees.
So, the hypothesis would be

Mean = 5.1
Standard deviation = 1.2
n = 49
So, test statistic value would be

At 1% level of significance, critical value is 2.58
Since 2.58>-3.53.
So, we will accept the null hypothesis.
Hence, No, the data does not support the claim at 1% level as the mean time is no longer than 4.5 years.
Answer:
The answer is 115 you do parentheses first and multiply 5 by the number in the parentheses and then add
Step-by-step explanation:
X+(x+1)+(x+2)+(x+3)=156
4x+6=156
4x=150
x=37.5 (not an integer)
If x=37 you get 37+38+39+40=154 and if x=38 you get 38+39+40+41=158[/tex]
Answer:
Identity property of addition.
Step-by-step explanation:
The identity property of addition says that the sum of 0 and any number is that number. So 99.78 + 0 = 99.78 is identity property of addition. This is true because the definition of 0 is "no quantity", so when we add 0, the number doesn't change.
Answer:
The cost of one shirt is $16 and the cost of one sweater is $20.
Step-by-step explanation:
Let the cost of one shirt be x and the cost of one shirt be y.
7x + 4y = 192 -----Equation 1
8x + 7y = 268 -----Equation 2
Equations 2-1:
8x + <em>7y</em> - 7x <em>- 4y</em> = 268 - 192
x + 3y = 76
x = 76-3y -----Equation 3
Subsitute x = 76-3y into Equation 1:
7x + 4y = 192
7(76-3y) + 4y = 192
532 - 21y + 4y = 192
532 - 17y = 192
-17y = 192-532
-17y = -340
17y = 340
y = 340 ÷ 17
y = 20 (The cost of one sweater is $20)
Substitute y = 20 into Equation 3:
x = 76-3y
x = 76 -3(20)
x = 76 - 60
x = 16 (The cost of one shirt is $16)