Answer:
Redskins cost $0.25 and golden roughs cost $0.35.
Step-by-step explanation:
Let r be the cost of a redskin and g the cost of golden roughs. So we have the system of equations:
r + 4g = 1.65
2r + 3g = 1.55
Multiply the first equation by -2:
-2r - 8g = -3.30
Adding this to the second equation:
-5g = -1.75
g = 0.35.
Now substitute this into the first equation:
r + 4*0.35 = 1.65
r = 1.65 - 1.40
r = 0.25.
Answer:
6.6
Step-by-step explanation:
Answer:
Let's simplify step-by-step.
(−a)(−4 − 5a) − 3a(2 + a)
Distribute:
= (−a)(−4) + (−a)(−5a) + −3a^2 + −6a
= 4a + 5a^2 + −3a^2 + −6a
Combine Like Terms:
= 4a+5a^2 + −3a^2+ −6a
= (5a2+ −3a^2) + (4a + −6a)
= 2a2 + −2a
Final Answer:
= 2a^2−2a!
The reciprocal of a fraction is only a whole number when
the numerator of the original fraction is ' 1 ' or a factor of
the denominator (original fraction is not in simplest form).
Any other time, the reciprocal of the fraction is another fraction.
(It'll be an improper fraction, and can be written as a mixed number.)
The reciprocal of a fraction is just the same fraction
turned upside down.
-- The reciprocal of 1/5 is 5/1 or just 5 .
(Original numerator is ' 1 '.)
-- The reciprocal of 5/25 is 25/5 or just 5 .
(Original fraction is not in simplest form.)
-- The reciprocal of 5/7 is 7/5 , or 1 and 2/5 .
Answer:
D. Keep the significance level the same but collect more data
Step-by-step explanation:
The significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. This significance level is usually established initially and does not need to be changed.
But, you can collect more data to gain a high standard of evidence for rejecting the null hypothesis. More data gives more evidence and leads to a result that is not attributed to chance, thus, proving that the result is statistically significant.