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Nimfa-mama [501]
1 year ago
12

Which unit rate is the lowest price per ounce

Mathematics
1 answer:
jonny [76]1 year ago
5 0

Answer:

2: choice b

Step-by-step explanation:

a: $1.66 / 10 oz = $0.166/oz

b: $3.22 / 20 oz = $0.161/oz

Answer: 2: choice b

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Write an equation in slope-intercept form for a line that passes through the points (5,7), ( 6,8)
Aleksandr [31]

Answer:

y=x+2

My work is in the picture.

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Factor completely 4x2 − 32. 4(x + 4)(x − 4) 4(x + 4)(x − 8) 4(x2 − 8) Prime
zubka84 [21]

Answer:

4(x^2 − 8)

Step-by-step explanation:

4x^2 − 32

We can factor out a 4 from each term

4(x^2 − 8)

7 0
3 years ago
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Students at Westbrook middle school hold green team meetings
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What’s the whole question???!
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Determine which of the indicated column vectors are eigenvectors of the given matrix
gladu [14]
]Eigenvectors are found by the equation (A-\lambda I) \vec{v} = 0$ implying that \det(A-\lambda I) = 0. We then can write:

A-\lambda I = \left [ \begin{array}{cc} 4-\lambda & 2 \\ 5 & 1-\lambda \end{array}\right ] 

And:

\det(A-\lambda I) = (4-\lambda)(1-\lambda) - 10 = 0 

Gives us the characteristic polynomial:

\lambda^2 - 5 \lambda -6 = 0 \implies \lambda_1 = -1, \lambda_2 = 6

So, solving for each eigenvector subspace:

\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]

Gives us the system of equations:

4x + 2y = -x \newline 5x + y = - y 

Producing the subspace along the line y = -\frac{5}{2} x

We can see then that 3 is the answer. 



7 0
3 years ago
Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z =
irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a <em>z-score</em>. We have to remember that the <em>standard normal distribution</em> is a particular case of a <em>normal distribution</em> where the mean = 0 and the standard deviation = 1.

Using <em>the standard normal distribution,</em> we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations <em>above the mean</em>. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, <em>below the mean</em>.

The formula for a z-score is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

Where

\\ x\;is\;the\;raw\;score.

\\ \mu\;is\;the\;population\;mean.

\\ \sigma\;is\;the\;population\;standard\;deviation.

Then to find <em>x </em>(or the raw score, that is, Sally's temperature), we need to solve the formula (1) for it to finally solve the question.

Then

\\ \mu = 98.20^\circF °F

\\ \sigma = 0.62^\circF °F

\\ z = -1.5

Thus (with no units)

\\ -1.5 = \frac{x - 98.20}{0.62}

\\ (-1.5*0.62) = x - 98.20

\\ (-1.5*0.62) + 98.20 = x

\\ x = (-1.5*0.62) + 98.20

\\ -0.93 + 98.20

\\ x = 97.27°F

Thus, Sally's temperature is \\ x = 97.27°F (rounding the answer to the nearest hundredth).

8 0
3 years ago
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