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natita [175]
3 years ago
7

Of the 465 sophomores at Eastside High School, exactly 1/3 are taking French II or Chemistry I or both. There are 40 sophomores

taking French II but not Chemistry I, and 60 sophomores taking Chemistry I but not French II. How many sophomores are taking both French II and Chemistry I ?
Mathematics
2 answers:
Alex787 [66]3 years ago
6 0

Your mom is is is is is your mom

Lostsunrise [7]3 years ago
5 0

Answer:

55

Step-by-step explanation:

First find the number of sophomores taking French II, Chemistry  I or both:

\frac{1}{3} *465\\=155

Of the 155 sophomores, 40 are taking only French II and 60 are taking only Chemistry I:

155-40-60=55

There are 55 sophomores taking French II and Chemistry I.

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The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist
alexira [117]
<h3>Answer:   83.85%</h3>

This value is approximate.

==========================================================

Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.

5 0
3 years ago
Write a variable expression to describe the rule for the sequence. Then find the 100th term. 35, 36, 37,...
Dmitry [639]

Given expression is 35, 36, 37, 38...

First term a = 35

Common difference d = 36-35 = 1

Nth term of arithmetic sequence is:

n_{th} = a+ (n-1)d

n_{th}= 35+(n-1)(1)

n_{th} = 34+n

To find the 100th term, substitute n = 100

n_{100} = 34 +100

n_{100} =134

Correct option is B

5 0
3 years ago
40 Points!!! Help please!! Will give Brainliest!!!
Marta_Voda [28]

Answer:

3/8 sq. units


Step-by-step explanation:

The formula for area for a trapezoid is

Area = (1/2)*(base1+base2)*height

Area = (1/2)*(1/2 + 1/4) * 1

Area = (1/2)*(2/4 + 1/4)

Area = (1/2)*(3/4)

Area = 3/8 sq. units

4 0
3 years ago
Find the slope of the line on the graph below.
Dmitry_Shevchenko [17]

Answer:

3/4

Step-by-step explanation:

because i knew how to do it also you just divid them

there is no way this is collage work im in 10th grade a knew it who ever asked that is kinda slow  

4 0
3 years ago
Read 2 more answers
Question in picture<br><br>A) 16/63<br><br>B)-16/63<br><br>C) 63/16<br><br>D) -63/16
Orlov [11]
ANSWER
\tan(x + y) =  -  \frac{63}{16}


EXPLANATION


We were given that,

\csc(x)  =  \frac{5}{3}

This implies that,

\sin(x)  =  \frac{3}{5}

We use the Pythagorean identity

\sin^{2} (x)  +  \cos^{2} (x)= 1
to get,


\cos(x)  =  \sqrt{1 - ( { \frac{3}{5} })^{2}}  =  \frac{4}{5}


We were also given that,


\cos(y)  =  \frac{5}{13}

This means that,


\sin(y)  =  \sqrt{1 -  {( \frac{5}{13}) }^{2} }  =  \frac{12}{13}

This is because,


0 <  \: x \:  <  \frac{\pi}{2}


0 <  \: y \:  <  \frac{\pi}{2}

This angles are in the first quadrant so we pick the positive values.

\tan(x + y)  =  \frac{ \sin(x + y) }{ \cos(x + y) }


\tan(x + y)  =  \frac{ \sin(x ) \cos(y)   +  \sin(y)  \cos(x) }{ \cos(x) \cos(y)  -  \sin(x)  \sin(y) }



\tan(x + y)  =  \frac{  \frac{3}{5}   \times  \frac{5}{13}  +   \frac{12}{13}   \times  \frac{4}{5}  }{  \frac{4}{5}  \times  \frac{5}{13}   -   \frac{3}{5}  \times  \frac{12}{13}  }



\tan(x + y) =  -  \frac{63}{16}

The correct answer is D
4 0
3 years ago
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