Which statements are true of the given function? Check

A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown be

vovikov84 [41]

ANSWER

$30\%$

EXPLANATION

The total number of students can be calculated by adding all the frequencies.

From the graph the total frequency is,

$39+117+78+26 =260$

The number of students who intend to go into state or local government after graduation is 78.

The percentage of students who intend to go into state or local government after graduation

$= \frac{78}{260} \times 100\%$

$= \frac{3}{10} \times 100\%$

$= 30\%$

4 0

3 years ago

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There are 28 students in math class, and 22 of the students passed a recent test. What percentage passed the test?

snow_lady [41]

28 represents 100%
22 represents x %
X= 22•100/28=78.57142857%

3 0

3 years ago

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Expand( a/3 - b/6 -1)^2

Artemon [7]

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~

( a/3 - b/6 -1)^2 as expanded form:

$\frac{a^2}{9} - \frac{ab}{9} - \frac{b^2}{36} - \frac{2a}{3} - \frac{b}{3} + 1$

Step-by-step explanation: You have to Simplify the expression.

Hope this helped you. Brainliest would be nice!

3 0

3 years ago

Which of the following is a binomial experiment? 1. A survey asking 75 people to name their favorite color 2. A survey asking 75

e-lub [12.9K]

Answer:

4. A survey asking 75 people if they like the new school building

Step-by-step explanation:

A binomial experiment consist of n trials but for every trial there are only two possible outcomes.

1. A survey asking 75 people to name their favorite color

There can be more than two answers to the given question so it is not a binomial experiment.

2. A survey asking 75 people to give their age

The age can be any integer which makes the outcomes more than two so this is also not a binomial experiment.

3. A survey asking 75 people whom they voted for in the election

This is also not a binomial experiment as there can be more than two answers to the question

4. A survey asking 75 people if they like the new school building

The given question can only be answered in yes or no which means only two possible outcomes so this is a binomial experiment ..

6 0

3 years ago

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If dy / dx = xy2 and x = 1 when y = 1, then y = ?

kykrilka [37]

Answer:

$y = \dfrac{2}{3-x^2}$

Step-by-step explanation:

Given that:

$\dfrac{dy}{dx} = xy^2$

and x = 1 when y = 1

<u>by integrating: </u>

first distribute all x variables on one side and all y variables on the other side.

$\dfrac{dy}{y^2} = xdx$

now integrate both sides

$\displaystyle\int {\dfrac{1}{y^2}}\,dy=\displaystyle\int {x} \, dx\\ \dfrac{-1}{y}=\dfrac{x^2}{2}+c$

to find the value of c, we can use the conditions given to us that x = 1 when y = 1.

$-\dfrac{1}{y} = \dfrac{x^2}{2}+c\\-\dfrac{1}{1} = \dfrac{1^2}{2}+c\\c = -1-\dfrac{1}{2}\\c = -\dfrac{3}{2}$

now that we have our c, we can plug it into our integrated expression.

$-\dfrac{1}{y} = \dfrac{x^2}{2}-\dfrac{3}{2}$

now simply rearrange the equation to make y the subject.

$-\dfrac{1}{y} = \dfrac{x^2}{2}-\dfrac{3}{2}\\-y = \dfrac{2}{x^2-3}\\y = \dfrac{2}{3-x^2}$

this is the equation of y

7 0

3 years ago