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Savatey [412]
4 years ago
10

The point P has coordinates (-2,6).The point M has coordinates (5,6)

Mathematics
1 answer:
nekit [7.7K]4 years ago
8 0
Find the gradient/slope
6-6/5-(-2) deltaY/deltaX
=0 shows its a straight line
Delta X = 7
Distance between P & M = 7 units
If M is the midpoint then Q is 7*2 units
Away from P (14 units away)
-2 + 14 units = 12 x-coordinate
Hence the coordinates of Q
= (12,6)

FINAL ANSWER:
Coordinates of Q (12,6)
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"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o
liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

7 0
4 years ago
Prove abcd is a parallelogram
NARA [144]
The longer sides are slanting and the shorter sides arent

8 0
4 years ago
Read 2 more answers
Terry, Kevin and barry together have 215 marbles. Terry has 20 marbles more than Barry and kevin has 10 marbles more than Terry.
Zarrin [17]
Terry, Kevin and Barry have a total of 215 marbles.=> Terry has 20 marbles more than Barry = x + 20=> Kevin has 10 marbles more than Terry = (x + 20) + 10=> Barry = xSolutions:=> x + x + 20 + x + 20 + 10 = 215=> 3x + 50 = 215=> 3x = 215 - 50=> 3x = 165=> 3x / 3 = 165 / 3=> x = 55Barry have = 55Terry = 55 + 20 = 75<span>Kevin => 75 + 10 = 85</span>
4 0
4 years ago
A rectangle is 1/2 ft long and 3/4 ft wide. What is the area of the rectangle? Enter your answer as a fraction in the box.
dimaraw [331]
The formula for area of a rectangle is A=lw (length x width). Since the length of the rectangle is 1/2 and the width is 3/4, plug it into the formula and basically just multiply it. :))
4 0
4 years ago
What is the relationship between the ratios?
Lesechka [4]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $ \frac{5}{8} $ and $ \frac{8}{10} $.

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $ \frac{p}{q} $ and $ \frac{x}{y} $.

We say they are proportional if $ p : q = x : y $.

Or, if $ py = qx $ then we can say the fractions are proportional.

Here the fractions are:  $ \frac{5}{8} $ and $ \frac{8}{10} $.

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

5 0
3 years ago
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