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xz_007 [3.2K]
3 years ago
13

Find the Slope -6,7 -10,10

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer: -4,3

Step-by-step explanation: When you find slope of two points you do the change of y over x. Which basically means you subtract x and subtract y. Both values. -10-(-6) 10-7. -4,3.

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Which complex number is equivalent to (7-9i)-(-1+3i)?
son4ous [18]
Just like algebra
i lis like x
distribute invisible -1 to second set
-1(-1+3i)=1-3i

now we have
7-9i+1-3i
8-12i
8 0
4 years ago
n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that
BartSMP [9]

Answer:

<em>The calculated t- value =  1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4</em>

Step-by-step explanation:

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

<em>Given mean of the Population (μ) = 5.4</em>

<em>Given sample size 'n' = 9</em>

<em>Mean of the sample (x⁻) = 5.7</em>

<em>Standard deviation of the sample (s) = 0.81</em>

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

<em>Null Hypothesis: H₀:</em>  The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

<em>Alternative Hypothesis : H₁:</em>  μ ≠ 5.4

Level of significance = 0.025

Test statistic

            t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

           t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }

         t = 1.11

<em>Degrees of freedom </em>

<em>ν = n-1 = 9-1 =8</em>

t₀.₀₁₅ , ₈  = 2.89

<em>The calculated t- value =  1.11 > 2.89 at 0.025 level of significance</em>

<em>Null hypothesis is rejected </em>

<em>The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4</em>

<em></em>

<em />

7 0
3 years ago
The university is on a bearing of 050 degrees from the stadium and 300 degrees from the hospital. Mark the position of the unive
Licemer1 [7]

Answer:

Check Explanation

Step-by-step explanation:

The map isn't available, but, one can draw this bearings with the descriptions given

Angles for bearings are usually drawn, reading from the north direction.

A sketch of the described bearings and locations of the stadium, university and the hospital is presented in the attached image to this question.

For the sketch on the map.

On The map, draw a four-cardinal points' cross at the stadium draw a line from the bearing 050° from the stadium's four cardinal points' cross. Leave the line as it is.

Then, draw another four cardinal points' cross at the hospital and draw a line from the bearing 300° from the hospital's four cardinal points' cross.

Wherever the line from the hospital meets the line from the stadium, is where the University is located.

Hope this Helps!!!!

6 0
3 years ago
There is a​ 10% chance of the mean​ oil-change time being at or below the sample mean for which there is an area of 0.10 to the
Zarrin [17]
The probability that a normally distributed data with a mean of μ and a standard deviation of σ is less than a value x is given by:

P(X\ \textless \ x)=P\left(z\ \textless \  \frac{x-\mu}{\sigma} \right)

Given that μ = 16.5 and σ = 0.804984 and that the probability that the <span>mean​ oil-change time being at or below the sample mean for which there is an area of 0.10 to the left under the normal curve, then:

P\left(z\ \textless \  \frac{x-16.5}{0.804984} \right)=0.1\\  \\ \Rightarrow P\left(z\ \textless \  \frac{x-16.5}{0.804984} \right)=P(z\ \textless \ -1.281) \\  \\ \Rightarrow\frac{x-16.5}{0.804984}=-1.281 \\  \\ \Rightarrow x-16.5=-1.281(0.804984)=-1.031 \\  \\ x=-1.031+16.5=15.47</span>
6 0
4 years ago
What is the y-intercept?
lara31 [8.8K]

Answer:

C

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
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