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Marat540 [252]
3 years ago
8

Extra points!!no links tho

Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

<h3>              a. the  vertex represents a minimum point</h3><h3>              b.  f(x) = (x + 5)² - 5</h3>

Step-by-step explanation:

a.

a = 1 > 0  ← that means the parabola opens up, so the vertex is minimum of the function

b.

  f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5

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The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the
Semenov [28]

Answer: 0.14155776

Step-by-step explanation:

Given : The proportion of workers employed by the university belong to the workers' union=0.96

Let x be a binomial variable that represents that worker belongs to the workers' union.

Sample size : n= 4

P(x=3)=^4C_3(0.96)^3(0.04)^1\\\\=(4)(0.96)^3(0.04)=0.14155776

[Binomial probability formula : P(X=x)=^nC_x(p)^x(1-p)^{n-x}]

Hence, the probability that exactly 3 of the workers interviewed are union members =0.14155776

7 0
3 years ago
Please help! Thank you!
Schach [20]

Answer:

\huge \boxed{ \boxed{ \sf \: y = x + 15}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know:</h3>
  • linear equation
  • linear equation word problems
  • PEMDAS
<h3>tips and formulas:</h3>
  • linear equation:y=mx+b
<h3>let's solve:</h3>

all we need to care about the middle condition which is

<h3>the new test score is 15 points more than the original score</h3>

given that

original score is x

New score is y

if you pay attention to the given condition

we can find it same as linear equation

therefore

according to the question

the equation is

<h2>y=x+15</h2>

8 0
3 years ago
8. Shenea bought 3 bottles of juice for $12. Write the rate as a
slamgirl [31]

Answer:

Each bottle is $4

Step-by-step explanation:

12/3

8 0
3 years ago
Ronny, Celina, Jack, and Michelle together placed a total of 20 brownies on a tray. Ronny placed 0.15 of the brownies, Celina pl
Marat540 [252]
To answer the question above, evaluate the number of cookies each of them placed on a tray. The calculations are shown below,
 
Ronny              C1 = 0.15 x 20 = 3
Celina              C2 = 3
Jack                 C3 = 0.30 x 20 = 6
Michelle           C4 = 20 - (3 + 3 + 6) = 8

From the calculation above, <em>Michelle</em> placed the most number of brownies on the tray. 

3 0
3 years ago
Read 2 more answers
HURRY PLEASE!!!!
Nitella [24]

Answer:

130

Step-by-step explanation:

3 0
3 years ago
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