Write a compound inequality that represents the situation.

Solve F=D+Drt for t.....

Anuta_ua [19.1K]

Answer:

$t = \frac{-D+F}{Dr}$

Step-by-step explanation:

Step 1: Flip the equation.

$Drt + D = F$

Step 2: Subtract D from both sides.

$Drt + D - D = F - D$
$Drt = -D + F$

Step 3: Divide both sides by Dr.

$\frac{Drt}{Dr} = \frac{-D+F}{Dr}$
$t = \frac{-D+F}{Dr}$

6 0

2 years ago

Milk has a pH of 6.7, which is slightly acidic. Cheesemakers add culture to milk to lower the pH, making it more acidic and turn

vladimir1956 [14]

Answer:

e. The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true mean is 5.2.

Step-by-step explanation:

We have a two-tailed one sample t-test.

The null hypothesis claims that the pH is not significantly different from 5.2.

The alternative hypothesis is that the mean pH is significantly different from 5.2.

The sample mean pH is 5.11, with a sample size of n=50.

The P-value of the test is 0.018.

This P-value corresponds to the probability of observing a sample mean of 5.11 or less, given that the population is defined by the null hypothesis (mean=5.2).

As this test is two-tailed, it also includes the probability of the other tail. That is the probability of observing a sample with mean 5.29 or more (0.09 or more from the population mean).

Then, we can say that, if the true mean is 5.2, there is a probability P=0.018 of observing a sample of size n=50 with a sample mean with a difference bigger than 0.09 from the population mean of the null hypothesis (5.11 or less or 5.29 or more).

The right answer is e.

7 0

3 years ago

Please help ASAP brainliest.

lisov135 [29]

Answer:

$\left[\begin{array}{cc}2&8\\5&1\end{array}\right]$

Step-by-step explanation:

The <em>transpose of a matrix </em> $M^T$ is one where you swap the column and row index for every entry of some original matrix $M$ . Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation $p_{i,j}$ and $p^T_{i,j}$ to refer to the entry in the i-th row and the j-th column of the matrices $P$ and $P^T$ respectively:

$p_{1,1}=p^T_{1,1}=2\\p_{1,2}=p^T_{2,1}=5\\p_{2,1}=p^T_{1,2}=8\\p_{2,2}=p^T_{2,2}=1\\$

Constructing the matrix $P^T$ from those entries gives us

$P^T=\left[\begin{array}{cc}2&8\\5&1\end{array}\right]$

which is option a. from the list.

Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!

7 0

3 years ago

5<br> The average rate of change of g(x) between x = 4 and x = 7 is Ē. Which statement must be true?

docker41 [41]

Answer:

c. 5/6 = [ g(7) − g(4) ] / (7 − 4)

Step-by-step explanation:

8 0

3 years ago

A jeweler has 5 rings, each weighing 18 g, made of an alloy of 10% silver and 90% gold. she decides to melt down the rings and a

ankoles [38]

Silver = 10%
Gold = 90%

Amount of gold to be deducted
90/100 × 18 = 16.2 g

75/100 × 18 = 13.5

16.2 - 13.5 = 2.7

Amount o silver to added.
2.7 × 5 = 13.5

Answer = 13.5 g

7 0

3 years ago