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BabaBlast [244]
3 years ago
5

In a research sample of high school students, the variable “number of Instagram followers” formed normal distribution with a mea

n of 45 and a standard deviation of 16. If the research sample contained 500 students, approximately how many had 21 or fewer friends?
A)7
B)467
C)21
D)33
Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Approximately it would be C 21
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Find the x- and y-intercepts for the linear equation –3x + 4y = 24.
Sav [38]

Answer:

x- intercept = - 8, y- intercept = 6

Step-by-step explanation:

To find the x- intercept let y = 0 and solve for x

- 3x + 4(0) = 24

- 3x = 24 ( divide both sides by - 3 )

x = - 8 ← x- intercept

To find the y- intercept let x = 0 and solve for y

- 3(0) + 4y = 24

4y = 24 ( divide both sides by 4 )

y = 6 ← y- intercept

3 0
2 years ago
Ralph buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. both items are on sale at 15% of
Lunna [17]
C) (0.85 + x/100)(250+145) does not give the correct answer.

Explanation
A) works; adding the two costs together is 250+145=395.  We multiply this by 0.85 because 100%-15%=85%=0.85.  We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00.  Altogether this gives us 
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%.  This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
6 0
3 years ago
X + 5 ≤ 13 what's the answer for this question?​
wariber [46]

Answer:

Inequality Form: x ≤ 8

Interval Notation: (-∞,8]

Step-by-step explanation:

x + 5 ≤ 13

Subtract 5 on both sides...

13 - 5 = 8

You're left with x ≤ 8

Inequality Form: x ≤ 8

Interval Notation: (-∞,8]

6 0
3 years ago
Joshira makes and sells crafts.
Maksim231197 [3]

Answer: 6

Step-by-step explanation:

i think joshira makes 6 item in 8 hours.

i got my answer by multiplying 3/4 with 8

7 0
3 years ago
Read 2 more answers
Help! I really need to pass!
Dmitriy789 [7]

Answer:

\huge{ \boxed{ \bold{ \sf{y =  - 2x + 6}}}}

☥ \tt{Question} :

  • Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

☥ \tt{Step  -  \: by \:  -  \: step \: explanation}

☪ \underline{ \underline{ \text{Given : }}}

  • Slope ( m ) = -2
  • Given point = ( - 1 , 8 )

☪ \underline {\underline{ \text{To \: find}}} :

  • Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

☪ \underline{ \underline{ \text{Solution}}} :

\underline{ \sf{y - y1 = m(x - x1)}}

plug the known values :

↦ \text{y - 8 =  - 2 \{ x - ( - 1) \} }

↦ \text{y - 8 =  - 2(x + 1)}

Distribute -2 through the parentheses :

↦ \text{y - 8 =  - 2x - 2}

Transpose 8 to right hand side and change it's sign

↦ \text{y =  - 2x - 2 + 8}

↦ \boxed{ \text{y =  - 2x + 6}}

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

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4 0
3 years ago
Read 2 more answers
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