3. Of the 32 students in Maria's class, 14 play sports, 19 are in the band, and 6 are involved in both sports and

Jack is drawing circles on a playground for a game. If he draws a circle with a radius 3 feet, what is the area of the circle, t

aev [14]

Answer:

28.2743 square feet (28 square feet, rounded)

Step-by-step explanation:

The area of a circle is given by the equation

Area = πr^2

Plug in 3 for the radius

Area= π(3)^2

3 squared is 9

Area= 9 π

Area= 28.2743 square feet

Rounded to the nearest square foot, the area of the circle is 28 square feet.

7 0

3 years ago

The heights of a certain type of tree are approximately normally distributed with a mean height p = 5 ft and a standard

arsen [322]

Answer:

A tree with a height of 6.2 ft is 3 standard deviations above the mean

Step-by-step explanation:

⇒ $1^s^t$ statement: A tree with a height of 5.4 ft is 1 standard deviation below the mean(FALSE)

an X value is found Z standard deviations from the mean mu if:

$\frac{X-\mu}{\sigma} = Z$

In this case we have: $\mu=5\ ft$ $\sigma=0.4\ ft$

We have four different values of X and we must calculate the Z-score for each

For X =5.4\ ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.4-5}{0.4}=1$

Therefore, A tree with a height of 5.4 ft is 1 standard deviation above the mean.

⇒ $2^n^d$ statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

For X =4.6 ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{4.6-5}{0.4}=-1$

Therefore, a tree with a height of 4.6 ft is 1 standard deviation below the mean .

⇒ $3^r^d$ statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean (FALSE)

For X =5.8 ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.8-5}{0.4}=2$

Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.

⇒ $4^t^h$ statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{6.2-5}{0.4}=3$

Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.

6 0

3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

Novosadov [1.4K]

Part A: The slope of f(x) is three times as great as the slope of g(x).

Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).

In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.

slope (m) = (y2 - y1)/(x2 - x1)

In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)

slope (m) = (-6 - 0)/(0 - 1)

m = -6/-1

m = 6

Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.

y = mx + b

0 = 6(1) + b

0 = 6 + b

-6 = b

So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).

7 0

3 years ago

con 16 barras de mantequilla se prepararon 20 postres ?que fraccion del total de mantequilla corresponde a cada postre

MatroZZZ [7]

De ahí que la fracción de la mantequilla total que corresponde a cada postre sea 1/4

Si con 16 barras de mantequilla se prepararon 20 postres, esto se puede expresar como:

16 pegatinas = 20 postres

Para obtener la fracción del total de mantequilla que corresponde a cada postre, podemos escribir;

x = 1 postre

Divide ambas expresiones

16 / x = 20/1

20 veces = 16 * 1

20x = 16

x = 16/20

x = 4/5

De ahí que la fracción de la mantequilla total que corresponde a cada postre sea 1/4

Obtenga más información aquí: brainly.com/question/1878884

5 0

2 years ago

What do outliers, mean, median, mode, and range tell you PLEASE SHOW EXAMPLES!!!!!!

Zanzabum

Hello there!

Outlier is a value in a data set that varies significantly from the rest of the data.

Example: Way too low: 1, 45, 58, 60, 63, 75

Outlier = 1

Way too high: 4, 3, 2, 21, 7

The number should be the order from least to greatest are: 2, 3, 4, 7, 21.

Outlier = 21

It impact the mean and the median in different ways.

Data with no outlier: 4, 5, 7, 11, 12, 15

54÷6=9

Mean = 9

Data with an outlier: 4, 5, 7, 11, 12, 15, 58

112÷7=16

Mean = 16

Median is the middle value in an ordered list of numbers.

Example:

Numbers already in order:

1, 5, 8, 10, 13

Numbers not already in order:

13, 1, 5, 10, 8

1, 5, 8, 10, 13, 15

8+10=18 or 18÷2=9

Median =9

Range is a difference between the maximum (highest) and minimum (lowest) values. It has one type of measure of spread.

Example:

Data in order: 23, 27, 39, 53, 62, 84

84-23=61

Data not in order: 272, 52, 67, 201, 43, 256

272-43=229

Hope this helps! Thank you for posting your question at here on Brainly.

-Charlie

3 0

3 years ago