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SOVA2 [1]
3 years ago
6

Solve the system of equations.

Mathematics
1 answer:
Zina [86]3 years ago
5 0
Answer:
C. (5,3)
Explanation:
I worked it out. If you plug in 5 for all the x’s and 3 for the y’s, it will work out right.
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3

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What is the image point of (6, 7) after a translation left 5 units and up 3
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the new point would be (1, 10).

Step-by-step explanation:

if you start with the point (6, 7) and go left 5 units and up 3 units, then the new point you land on is (1, 10) as you can see in the picture below. hope this helped!

6 0
3 years ago
Which expression is equivalent to StartFraction 28 p Superscript 9 Baseline q Superscript negative 5 Baseline Over 12 p Superscr
lara31 [8.8K]

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its c

Step-by-step explanation:

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3 years ago
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Each year, all final year students take a mathematics exam. It is hypothesised that the population mean score for this test is 1
Yuri [45]

Answer:

90% confidence interval for the population mean test score is [95.40 , 106.59]

Step-by-step explanation:

We are given that the population mean score for mathematics test is 115. It is known that the population standard deviation of test scores is 17.

Also, a random sample of 25 students take the exam. The mean score for this group is 101.

The, pivotal quantity for 90% confidence interval for the population mean test score is given by;

        P.Q. = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, X bar = sample mean = 101

              \sigma = population standard deviation

              n = sample size = 25

So, 90% confidence interval for the population mean test score, \mu is ;

P(-1.6449 < N(0,1) < 1.6449) = 0.90

P(-1.6449 < \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.6449) = 0.90

P(-1.6449 * \frac{\sigma}{\sqrt{n} } < {Xbar-\mu} < 1.6449 * \frac{\sigma}{\sqrt{n} } ) = 0.90

P(X bar - 1.6449 * \frac{\sigma}{\sqrt{n} } < \mu < X bar + 1.6449 * \frac{\sigma}{\sqrt{n} } ) = 0.90

90% confidence interval for \mu = [ X bar - 1.6449 * \frac{\sigma}{\sqrt{n} } , X bar + 1.6449 * \frac{\sigma}{\sqrt{n} } ]

                                                  = [ 101 - 1.6449 * \frac{17}{\sqrt{25} } , 10 + 1.6449 * \frac{17}{\sqrt{25} } ]

                                                  = [95.40 , 106.59]

Therefore, 90% confidence interval for the population mean test score is [95.40 , 106.59] .

7 0
3 years ago
Solve the equation. Check your solution. (1/2 is a fraction for one half <br> s-1/2=1/2
Alchen [17]

Answer:

s = 1

Step-by-step explanation:

Given

s - \frac{1}{2} = \frac{1}{2}

Required

Solve for s

s - \frac{1}{2} = \frac{1}{2}

Add \frac{1}{2} to both sides

s - \frac{1}{2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}

Take LCM

s + \frac{-1+1}{2}  = \frac{1+1}{2}

s + \frac{0}{2}  = \frac{2}{2}

s +0  = 1

s = 1

4 0
3 years ago
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