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elixir [45]
3 years ago
11

The scores of individual students on the american college testing (act) program composite college entrance examination have a no

rmal distribution with a mean of 18.6 and a standard deviation of 6.0. at northside high, 36 seniors take the test. assume the scores at this school have the same distribution as national scores. what is the mean of the sampling distribution of the sample mean score for a random sample of 36 students?
Mathematics
1 answer:
Alona [7]3 years ago
3 0
The mean of the distribution of the sampling mean is the same as the mean of the population, 18.6.
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Find the distance between the two points in simplest radical form <br> (4,6) and (-2,9)
MrRa [10]

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{(-2-4)^2+(9-6)^2}\implies d = \sqrt{(-6)^2+3^2}\implies d = \sqrt{36+9} \\\\\\ d = \sqrt{45}\implies d = \sqrt{9\cdot 5}\implies d=\sqrt{3^2\cdot 5}\implies d = 3\sqrt{5}

6 0
3 years ago
Write a rule to describe a translation 5 units left and 10 units up.
madam [21]
To translate 5 units left, add 5 to every x to move up 10 units, add 10 to whole equaiotn example y=2x+2 move left 5 y=2(x+5)+2 move up 10 y=2(x+5)+2+10
3 0
3 years ago
According to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11
Genrish500 [490]

Answer:

\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}

Step-by-step explanation:

The given polynomial function is

f(x)=5x^3-7x+11

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

\pm\frac{11}{1}=\pm11

\pm\frac{1}{1}=\pm1

\pm\frac{11}{5}

\pm\frac{1}{5}

4 0
4 years ago
The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.
lorasvet [3.4K]

Answer:

78.5

Step-by-step explanation:

r^{2}x3.14 (pie)

so then substitute.

5x5=25

25x3.14=78.5

6 0
3 years ago
Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 poun
artcher [175]

Answer:

A. 10 bricks

B. 4 pounds

Step-by-step explanation:

Water = 39 pounds

brick dust = 48 pounds

Total mixture = water + brick dust

= 39 + 48

= 87 pounds

She spills 13 pounds of the mixture while stirring

Remaining mixture = Total mixture - Spillage

= 87 pounds - 13 pounds

= 74 pounds

The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture

Number of bricks made = Remaining mixture / pounds per brick

= 74 pounds / 7 pounds

= 10 bricks remaining 4 pounds of the mixture

A. What is the greatest number of bricks Lynn can make?

10 bricks

B. How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest number of bricks?

4 pounds

6 0
3 years ago
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