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Tju [1.3M]
3 years ago
12

What is the equation of a line that is parallel to the line y = 2x+1 and passes

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

Answer: It should be y=2x-2

Step-by-step explanation:

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The amount of time it takes to see a doctor a CPT-Memorial is normally distributed with a mean of 33 minutes and a standard devi
Eva8 [605]

Answer:

a) <em>Z-score = 0.75</em>

b) <em>Z-score = -32.833</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that mean of the Population = 33

Given a standard deviation of the Population = 12

Let 'X' be a random variable in a normal distribution

Let 'X' = 42

<u><em>Step(ii):-</em></u>

<em>      </em>Z = \frac{x-mean}{S.D}<em></em>

<em>     </em>Z = \frac{42-33}{12} = 0.75<em></em>

<u><em>Step(iii):-</em></u>

<em>Given that mean of the Population = 89</em>

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

<em>   </em>Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }<em></em>

<em>     </em>Z = \frac{82-89}{\frac{1}{\sqrt{22} } } =  -32.833<em></em>

<em>Z-score = -32.833</em>

<em></em>

7 0
3 years ago
On a standardized exam, the scores are normally distributed with a mean of 165 and astandard deviation of 40. Find the z-score o
vladimir1956 [14]

The Z-score is calculated by the formula below

\begin{gathered} z-score=\frac{(x-\mu)}{\sigma}_{} \\ \mu=\operatorname{mean} \\ \sigma=s\tan dard\text{ deviation} \\ x=\text{score} \end{gathered}

Step 2: Substitute the given parameters in the formula

\begin{gathered} z-\text{score}=\frac{145-165}{40} \\ Z=-\frac{20}{40} \\ Z=-\frac{1}{2} \\ Z=-0.5 \end{gathered}

Hence, the z-score of a person who scored 145 on the exam is -0.5

8 0
1 year ago
What is the slope of the line that contains these points?
Rus_ich [418]
For the first one it might be 26? i’m not so sure
8 0
3 years ago
How many solutions does the equation −2a + 2a + 7 = 8 have? One Two None Infinitely many.
jonny [76]
The answer is none. Since you have to add your a's first, your left with 0 meaning that there is no more a's meaning that you have no solution. Hope this helps!
7 0
3 years ago
Read 2 more answers
Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain
horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a fisher at Clearwater Park had a fishing license

<em>Y</em> = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

        = 48 + 32

        = 80

N (Y) = n (Y) + n (Y')

        = 72 + 18

        = 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

P(X'\cap Y)=P(X')\times P(Y)

                 =\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

7 0
3 years ago
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