Answer:
Step-by-step explanation:
Gary need 60 dollars, but he saved only 45%
60*(45/100)=27
he saved only 27 dollars
Answer:
1/36
Step-by-step explanation:
When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.
The coefficient of the squared term is 1/36.
Answer:
x = -12
Step-by-step explanation:
Set logs up on both sides-
log 16^x = log 64^x+4
The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-
x * log 16 = x + 4 * log 64
Divide both logs out-
log 64/log 16 = 1.5
Simplify-
x = x+4(1.5)
1.5x + 6 = x
Remove 1.5-
1 - 1.5 = -.5x
Simplify-
-.5x = 6
Divide both sides-
6/-.5x = -12
Hence, the answer would be -12
Answer:
96:144
Step-by-step explanation:
Since there are 240 students and the known value is 96 students buying lunch, you simply subtract the two numbers.
240 - 96 = 144
There are 144 students bringing bag lunch.
The ratio is asking students purchasing lunch to students bringing a bag lunch, which would be 96:144
The simplified answer is 2:3
To get this, divide 144 by 96
This, in turn, would give you in answer of 3/2 which can be inversed to get the right answer
Answer:
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
Step-by-step explanation:
Given that in a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams
H0: The two means are equal
Ha: The two means are not equal
(Two tailed test at 5% level)
Variable A Variable B
Mean 1080.00 1120.00
SD 75.00 100.00
SEM 13.26 16.01
N 32 39
95% CI: -82.65 to 2.65
Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.
