. F(m)
. F (1)+g(2)
. F(11)
Answer:
Step-by-step explanation:
3x + 5y = 7
Since that is our original form, let's convert it so that we can find the slope:
5y = -3x + 7
y = -3/5 x + y
To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:
m = 5/3
From here, we use the point-slope equation and then convert that into slope-intercept form:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 0)
y - 6 = 5/3x
thousand bacteria per hour after t hours. How much did the bacteria population increase during the first two hours? (Round your answer to three decimal places.)
Answer:
Step 2 Add 5 negative unit tiles to both sides
Step 3 The solution is x = 1.
Which explains whether Brandon is correct?
Brandon is correct because he has the correct solution in step 3.
Brandon is correct because he forms zero pairs to isolate the variable by using the lowest coefficient each time.
Brandon is not correct because he should have performed step 2 before performing step 1.
Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.
The correct option is Option D: Brandon is not correct because he should add -6 on both sides to isolate the variable in step 2.
The linear equation is an equation where the highest degree of the variable used in the equation is 1.
For example 2x+5=25
Given the equation is 15x +6= 14x+ 5
In order to the linear equation first, try to keep the constant and the variable part to one side by adding or subtracting the constant term.
Then divide the coefficient of the variable (if the coefficient is not equal to 1) on both sides.
Here the given equation is 15x +6= 14x+ 5
Step-1: adding -14x on both sides
⇒15x +6 -14x= 14x+ 5 -14x
⇒x+ 6= 5
Step-2: adding -6 on both side
⇒x+ 6-6 = 5-6
Step-3: solution will be -1
⇒x= -1
Therefore the correct option is Option D: Brandon is not correct because he should add -6 on both sides to isolate the variable in step 2.
Learn more about linear equation
here: brainly.com/question/13728326
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Answer:
Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.
Step-by-step explanation:
edge 2020
-150+(-45)= -195
Negative since it’s deeper
this might be yo answer im not sure
i hope this helped u tho
Answer:
-9/14 so the answer is B
Step-by-step explanation:
Hope this helps
Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)
Use 2 decimal places for the z-score and 4 for the p-value.
a. What is z?
b.The p-value is greater than?
c.What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.
Answer:
We conclude that the sonnets were written by by a certain Elizabethan poet.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 8.9
Sample mean, =10.2
Sample size, n = 6
Alpha, α = 0.05
Population standard deviation, σ = 2.5
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
a) Formula:
Putting all the values, we have
Now,
b) We calculate the p value with the help of z-table.
P-value = 0.1003
The p-value is greater than the significance level which is 0.05
c) Since the p-value is greater than the significance level, there is not enough evidence to reject the null hypothesis and accept the null hypothesis.
Thus, we conclude that the sonnets were written by by a certain Elizabethan poet.
The z-score is 1.86 and the p-value is 0.0314. As the p-value is less than the level of significance α (0.05), we reject the null hypothesis and conclude that the new sonnets were likely written by another author.
In this statistical testing scenario for authorship of literary works, we need to find out the z-score or z test statistic and then determine the p-value to check if the new sonnets could be the works of the known Elizabethan poet or not.
For calculating the z score, you use the formula z = (x~ - μ) / (σ / √n) = (10.2 - 8.9) / (2.5/ √6) = 1.86 to two decimal places. The p-value is determined from the standard normal distribution table which for a z-score of 1.86 is 0.0314.
Given that α = 0.05, since the p-value is less than α, we reject the null hypothesis H0 (that the works were by the Elizabethan poet). Therefore, we accept the alternative hypothesis Ha (the sonnets were written by another author).
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