According to Vinay’s model, what is the probability that he will have a male history teacher two years in a row?

6.3 divided by 2.5 HELP ME PLZZZZZZZZZZZZZZZ

Vadim26 [7]

Answer:

6.3/2.5=2.52

Step-by-step explanation:

5 0

3 years ago

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0

3 years ago

The following back to back stemplot represents the amount a sample of students spent on their last haircut. Because there are si

krek1111 [17]

The 5 - number summary of the distribution obtained from the boxplot is :

Minimum = 20
Maximum = 85
Lower quartile = 35
Median = 44
Upper quartile = 58
Outlier = 100

Firstly, we need to extract the values for the amount spent by females :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The five number summary include ;

Minimum, lower Quartile, Median, Upper Quartile and Maximum values.

Rearranging the data in ascending order :

20, 25, 25, 35, 37, 38, 39, 43, 45, 46, 50, 53, 60, 70, 85, 100

The boxplot clearly and easily gives the five number summary of the distribution :

Minimum = 20 (starting point of the whisker)
Lower quartile = 35 (starting point of the box)
Median = 44 (vertical line in between the box)
Upper quartile = 58 (endpoint of the box)
Maximum = 85 (endpoint of the upper whisker).

Outlier :

Lower boundary = LOWER QUARTILE - (1.5 × IQR)
Upper boundary = UPPER QUARTILE + (1.5 × IQR)
IQR = UPPER QUARTILE - LOWER QUARTILE
IQR = (58 - 35) = 23

Lower boundary = 35 - (1.5 × 23) = 0.5

Upper boundary = 58 + (1.5 × 23) = 92.5

The point denoted by a dot on the boxplot is an outlier = 100

Hence, values lesser than 0.5 or greater than 92.5 are outliers.

Therefore, 100 is an outlier.

Learn more : brainly.com/question/24582786

7 0

3 years ago

How long will it take a person to double $2000 at a 6% interest rate, compounded annually?

aleksandr82 [10.1K]

Well you would do 6% times 2000 (.06 *2000) 120

5 0

3 years ago

robert plant 7 trees behind westwood school. he planted 6 times as many trees in front of the school. how many trees did he plan

Sati [7]

49 in total or 42 trees in the front

4 0

3 years ago

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