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alexandr1967 [171]
3 years ago
11

Solve for m. 5m+72=−2m+52

Mathematics
2 answers:
Tom [10]3 years ago
6 0
M=-20/7. .........!!!!!!!!
gladu [14]3 years ago
3 0

the answer is -20/7 hope that helped



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Find the angle marked with the ? mark
Yuri [45]

Answer:

53 degrees

Step-by-step explanation:

Angle N = angle E

because angle made by joining end points of same chord on circumference are always equal.

so angle E = 37

Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)

Now in Triangle DEC. Sum if all the angles of triangle us 180

Angle D + angle E + ? = 180

37 + 90 + ? = 180

127 + ? = 180

? = 180 - 127

? = 53 degrees

4 0
3 years ago
The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a st
Xelga [282]

Answer:

81.85% of the workers spend between 50 and 110 commuting to work

Step-by-step explanation:

We can assume that the distribution is Normal (or approximately Normal) because we know that it is symmetric and mound-shaped.

We call X the time spend from one worker; X has distribution N(μ = 70, σ = 20). In order to make computations, we take W, the standarization of X, whose distribution is N(0,1)

W = \frac{X-μ}{σ} = \frac{X-70}{20}

The values of the cummulative distribution function of the standard normal, which we denote \phi , are tabulated. You can find those values in the attached file.

P(50 < X < 110) = P(\frac{50-70}{20} < \frac{X-70}{20} < \frac{110-70}{20}) = P(-1 < W < 2) = \\\phi(2) - \phi(-1)

Using the symmetry of the Normal density function, we have that \phi(-1) = 1-\phi(1) . Hece,

P(50 < X < 110) = \phi(2) - \phi(-1) = \phi(2) - (1-\phi(1)) = \phi(2) + \phi(1) - 1 =  \\0.9772+0.8413-1 = 0.8185

The probability for a worker to spend that time commuting is 0.8185. We conclude that 81.85% of the workers spend between 50 and 110 commuting to work.

Download pdf
7 0
3 years ago
Using the figure below, find the value of x. Enter your answer as a simplified radical or improper fraction (if necessary) into
Veronika [31]

Hello,

M=middle[AB]

The triangle ABC is equilateral :

x= 15/2

3 0
3 years ago
Susan just got a promotion that increased her annual salary from $52,000 to $68,000. Susan's monthly expenses included a mortgag
Veseljchak [2.6K]

Answer:

c. Susan's debt-to-income ratio decreased by about 15%

Step-by-step explanation:

Susan's previous salary = $52,000

Susan's new salary = $68,000

Susan's mortgage = $1,500

The total of three minimum credit card payment = $350

Her lease payment = $280

Her student loan payment = $250

Her personal loan payment = $325

Therefore, her total debt = $1,500 + $350 + $280 + $250 + $325 = $2,705

Her new Debt to loan ratio = (Her total deb)/(Her total new income) = 2705/68000 = 3.9779 %

Her previous to loan ratio = (Her total deb)/(Her total previous income) = 2705/52000 = 5.2%

The percentage change in her debt to income ratio = (5.202 - 3.9779)/5.202 ≈ 23% decrease

Therefore, the best option is Susan's debt-to-income ratio decreased by about 15%.

8 0
3 years ago
Read 2 more answers
the box-and-whisker plot below show the number of movies watched lasted month by students in Mr.Garcia's 1st period and 2nd peri
lora16 [44]
I found the corresponding plot and choices.
 
                           1st period             2nd period
minimum                  1                           0
q1                           3                           1
q2                           4                           3
q3                           7                           7
maximum                11                         13

My answer among the given choices was:
 
<span>More students watched movies in Mr. Garcia's 2nd period class than in his 1st period class.
</span>

3 0
4 years ago
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