Answer: -2
Step-by-step explanation:
2(h -3.5) = -11 Distributive property
2h - 7 = -11. Add 7 to both sides
2h = -4. Divide both sides by 2
h = -2
5-7 = -2 and 1-6= -5 so the slope would be 2/5. you would set it up like this:
y=2/5x and then your y-intercept
The nail polish hold 0.35 more ounces than the perfume bottle
The factorization of the expression 36x⁴y³ - 16x³y is 4x³y(9xy² - 4)
<h3>Factorization</h3>
Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorization of an algebraic expression means writing the given expression as a product of its factors. These factors can be numbers, variables, or an algebraic expression.
To the factor, a number means to break it up into numbers that can be multiplied to get the original number.
In the given expression, 36x⁴y³ - 16x³y can be factorized as
36x⁴y³ - 16x³y = 4x³y(9xy² - 4)
The common factor in the expression is 4x³y
Learn more on factorization here;
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Answer:
The significance level is 
and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is 
Step-by-step explanation:
For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:
Null hypothesis: 
Alternative hypothesis: 
And the statistic is given by:
The significance level is and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is
