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liberstina [14]
3 years ago
5

−2p + 23 = 15 What does p =

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0

Answer:

look at the picture .................

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The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:
blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}

  =\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182

Compute the standard deviation as follows:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

      =\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0
3 years ago
61 random samples of city rent prices are selected from a normally distributed population the samples have a mean of $738 and a
Alenkinab [10]

Answer:

(728, 748)

Step-by-step explanation:

You need the Z value which for 95% confidence interval is 1.96. The mean is $738 and the standard deviation of $41.

X-Zs/\sqrt{n} \\ X+Zs/\sqrt{n}

Therefore we can calculated the confidence interval

738-1.96\cdot{41}/\sqrt{61} =738-10.3

738±10.3

The interval is (728,748)

3 0
3 years ago
What is the vertex of y=-2x^2+10x+1 and is it a minimum or maximum
Reika [66]

Answer:

Step-by-step explanation:

it is maximum.

when leading coefficient of x² is negative,

It is downward parabola.

or

y=-2x²+10x+1

=-2(x²-5x+(-5/2)²-(-5/2)²)+1

=-2(x-5/2)²+2×25/4+1

=-2(x-5/2)²+25/2+1

=-2(x-5/2)²+27/2

maximum value of y is 27/2 and is attained at x=5/2

vertex is (5/2,27/2)

7 0
3 years ago
Someone please help me fast ( work out the missing area in each pair of similar shapes !!!)
34kurt
Make them into fractions. 9/3, 480/32, and 10/4. Now try to make the denominators the numbers below the shape and then find the number that works for that fraction.
4 0
4 years ago
I'm almost done with schooling any help?​
melisa1 [442]

Answer:

The ordered pair that corresponds to point P is: (4, 2)

Step-by-step explanation:

It is clear from the graph that the point P is located at the location (4, 2).

In other words,

at x = 4, y = 2

It means:

The x-coordinate of the point P is: x = 4

The y-coordinate of the point P is: y = 2

Thus, the location of the point P →  P(x, y) = P(4, 2)

Please check the attached graph.

Therefore, we conclude that:

The ordered pair that corresponds to point P is: (4, 2)

6 0
3 years ago
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