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zepelin [54]
2 years ago
11

Arlene is testing whether school is more enjoyable when students are making high grades. She asked 100 students if they enjoyed

school and whether their GPA was above or below 3.0. She found that 30 of the 40 students with a GPA above 3.0 reported that they enjoyed school, and 15 of the 60 students with a GPA below 3.0 reported that they enjoyed school. What is the probability that a student with a GPA below 3.0 does not enjoy school?
15%
25%
45%
75%
Mathematics
1 answer:
WARRIOR [948]2 years ago
6 0
What is the probability that a student with a GPA below 3.0 does not enjoy school?
Only 15/60 below 3.0 enjoy school.
Rounded, that equals 25%.

Therefore, there is a 75% probability that a student with a GPA below 3.0 does not enjoy school.
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-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz
vitfil [10]
To graph it, just graph y=-3^{-x}-6 and y=-3^x+10 and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
3^{-x}+6=3^x-10
multiply both sides by 3^x
3^0+6(3^x)=3^{2x}-10(3^x)
1+6(3^x)=3^{2x}-10(3^x)
minus 1 from both sides and minus 6(3^x) from both sides
0=3^{2x}-16(3^x)-1
use u subsitution
u=3^x
we can rewrite it as
0=u^2-16u-1
now factor
I mean use quadratic formula
for ax^2+bx+c=0 x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so for 0=u^2-16u-1, a=1, b=-16, c=-1
u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}
u=8+/-\sqrt{65}
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
u=8+\sqrt{65}=3^x
8+\sqrt{65}=3^x
if you take the log base 3 of both sides you get
log_3(8+\sqrt{65})=x
if you use ln then
ln(8+\sqrt{65})=xln(3)
then
\frac{ln(8+\sqrt{65})}{ln(3)}=x

8 0
2 years ago
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I subtract 14 from a certain number I multiply the result by 3 the final answer is 3 what was the number
12345 [234]

Answer:

15.

Step-by-step explanation:

3(x - 14) = 3

3x - 42 = 3

3x = 42 + 3 = 45

x = 15.

3 0
2 years ago
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Bethany thinks this angle is 140 degrees. Daryn thinks this angle is 40 degrees. Who is correct? Explain what the other person d
Alborosie

Answer:

50

Step-by-step explanation:

I just think it's 50 because I was on this problem for a long time and I just took my best guess

4 0
2 years ago
mark has a cabinet door in his kitchen with the dimensions shown below. he creates a scale drawing where the width of the cabine
laiz [17]

Answer:

h^{*} = 25\,in

Step-by-step explanation:

Let consider that door has a height of 5 feet and a width of 3 feet. The scale factor is:

n = \frac{15\,in}{3\,ft}

n = 5\,\frac{in}{ft}

The height of the cabinet is:

h^{*} = n \cdot h_{door}

h_{*} = \left(5\,\frac{in}{ft}  \right)\cdot (5\,ft)

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Which equations represent the data in the table? Check all that apply.
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Answer:

a,d,e

Step-by-step explanation:

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