Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C
Step-by-step explanation:
Given that:
Freezing point of sesame oil = - 6.2°C
Freezing point of peanut oil = 3.1°C
Comparing the two temperatures :
Freezing(when a substance turns to solid) usually occurs at low temperatures. The temperature of sesame oil(-6 2°C) is lower than that of peanut oil(3.1°C).
Hence, it can be concluded that Sesame oil freezes at lower temperature than peanut oil.
Mathematically,
-6.2°C < 3.1°C
Answer:
The transitive property of equality
Step-by-step explanation:
The transitive property states if a=b and b=c then a=c. If two things are equal and one of those two things is equal to another thing, then they all must be equal.
Answer:
Step-by-step explanation:
(f*g)(x) = (-5x² + 2x + 7) (x +1)
= x* (-5x² + 2x + 7) + 1*(-5x² + 2x + 7)
= x*(-5x²) + x*2x + x*7 - 5x² + 2x + 7
= -5x³ + 2x² + 7x - 5x² + 2x + 7
= - 5x³ + <u>2x² -5x²</u> <u>+ 7x + 2x </u>+7 {Combine like terms}
= -5x³ - 3x² + 9x + 7
4) (f*g)(x) = (x² + 2x + 4)(x - 2)
= x*(x² + 2x + 4) - 2*(x² + 2x + 4)
= x*x² + x*2x + x*4 - 2*x² - 2*2x -2* 4
= x³ + 2x² + 4x -2x² -4x - 8
= x³ - 8
Answer:
population standard deviation does not differ from 0.25
Step-by-step explanation:
The hypothesis :
σ² = 0.25²
σ² ≠ 0.25²
The Chisquare statistic, χ²: (n-1)*s²/σ²
Where s² = sample variance ; sample size, n = 30
Using calculator, the sample variance, s² = 0.1646
χ² = (n-1)*s²/σ²
χ²: (30 - 1) * 0.1646 / 0.25²
χ² = (29 * 0.1646) / 0.0625
χ² = 0.3292 / 0.0625
χ² = 5.2672
α = 0.05
Using the Pvalue from Chisquare calculator ; df = 29
Pvalue = 1
Since, Pvalue > α ; We fail to reject the null and conclude that population standard deviation does not differ from 0.25
