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2 years ago

8

Adar, Chi, and Melissa each left the party by themselves. In how many different orders can they leave?

1 answer:

Leona [35]2 years ago

4 0

The answer is A they can only be in different orders

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The sum of two numbers is 51. If one fourth of one number exceeds one fifth of another number by 6, which of the following is th

jeka57 [31]

<span>Let x=smaller number
Then x+5=larger number
Now we are told the following:
1/5(x+x+5)=x-5 multiply each side by 5
x+x+5=5x-25 subtract 5x and also 5 from both sides
x+x+5-5-5x=5x-5x-25-5 collect like terms
</span><span>-3x=-30 divide both sides by -3
x=10 smaller number
x+5=10+5=15 larger number
CK
1/5(10+15)=10-5
1/5(25)=10-5
5=5 </span>

3 0

2 years ago

The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher

ELEN [110]

Answer:

Option D) 340

Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

Population standard deviation, σ = $47

Margin of error = 5

95% Confidence Interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

$\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340$

Thus, the correct answer is

Option D) 340

7 0

3 years ago

Can you help me please??

dusya [7]

Answer:

y = $\frac{4}{5}x+\frac{54}{5}$

Step-by-step explanation:

Equation of a line has been given as,

$y=\frac{4}{5}x+\frac{3}{5}$

Here, slope of the line = $\frac{4}{5}$

y-intercept = $\frac{3}{5}$

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = $\frac{4}{5}$

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = $\frac{4}{5}x+b$

Since, this line passes through a point (-6, 6),

6 = $\frac{4}{5}(-6)+b$

6 = $-\frac{24}{5}+b$

b = $6+\frac{24}{5}$

b = $\frac{30+24}{5}$

b = $\frac{54}{5}$

Equation of the parallel line will be,

y = $\frac{4}{5}x+\frac{54}{5}$

4 0

3 years ago

LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?

Mazyrski [523]

Answer:

$LN = 55$

Step-by-step explanation:

Given

$LN = 12w + 7$

$LP = 15w - 5$

Required

Determine LN

Since LM is a bisector, then we have:

$LP = LN$ (See attachment for illustration)

$15w - 5 = 12w + 7$

Collect Like Terms

$15w - 12w = 5 +7$

$3w = 12$

Solve for w

$w = 12/3$

$w = 4$

LN is calculated as thus:

$LN = 12w + 7$

Substitute 4 for w

$LN = 12 * 4 + 7$

$LN = 48 + 7$

$LN = 55$

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bk%7D%7B3%7D%20-2k%20%2B4%20%3D10" id="TexFormula1" title="\frac{k}{3} -2k +4 =10" al

VikaD [51]

Answer:

fraction > -18/5

dec> -3.6

Step-by-step explanation:

6 0

2 years ago

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