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2 years ago

Mr. Ortiz is a driving instructor. Of his students, 23 have taken the driver's test and 17 of them have passed

Mathematics

1 answer:

adelina 88 [10]2 years ago

3 0

Answer:7

Step-by-step explanation:

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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

MA_775_DIABLO [31]

The answer is c because is a vrtical line

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2 years ago

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21. Given directed line segment WV , find the coordinates of R

Jobisdone [24]

Answer:

$R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)$

Step-by-step explanation:

Let the coordinate of the points W, V and R are $(x_1,y_1), (x_2,y_2),$ and $(x_s,y_s)$ respectively.

The coordinate of the section point, $(x_s,y_s),$ which divides the line joining the two points $(x_1,y_1)$ and $(x_2,y_2)$ in the ration $m:n$ is

$x_s=\frac {nx_1+mx_2}{m+n}$ and

$y_s=\frac {ny_1+my_2}{m+n}$ .

The given ration is, $m:n=3:4$

$R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)$

$=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)$ .

The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.

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2 years ago

The average starting salary for graduates at a university is $25,000 with a standard deviation of $4,000. if a histogram of the

kirill115 [55]

The empirical rule says 68% of the distribution should fall within one standard deviation of the mean, so you should expect salaries between $\$25000-\$4000=\$21000$ and $\$25000+\$4000=\$29000$

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2 years ago

Solve for ttt. 4\left(t+\dfrac14\right) = 34(t+ 4 1 )=34, left parenthesis, t, plus, start fraction, 1, divided by, 4, end fra

Tema [17]

Answer:

$t=\frac{1}{2}$

Step-by-step explanation:

We want to solve for the value of t in the equation

$4(t+\frac{1}{4})=3$

Since we are trying to make t the subject of the formula (or isolate t)

Divide both sides by 4

$\dfrac{4(t+\frac{1}{4})}{4} =\dfrac{3}{4}$

This gives us:

$t+\frac{1}{4} =\frac{3}{4}$

Next, we subtract $\dfrac{1}{4}$ from both sides

$t+\frac{1}{4}-\frac{1}{4} =\frac{3}{4}-\frac{1}{4}\\t=\dfrac{3-1}{4}=\frac{2}{4}=\frac{1}{2}\\t=\frac{1}{2}$

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2 years ago

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Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observ

Dafna11 [192]

Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?

Solution: The five number summary denotes:

Minimum = 19

First Quartile = 32

Median = 47

Third Quartile = 61

Maximum = 77

Since there are an odd number of observations (33) in the data set, the First Quartile (32) must be at the (33+1)/4 = 8.5th position, meaning there are 7 numbers less than 32.

Therefore, there are 7 observations that are strictly less than 32

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2 years ago

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