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Bogdan [553]
2 years ago
12

PLEASE LED ME THE ANSWER ILL GIVE YOU 20 POINTS

Mathematics
1 answer:
krok68 [10]2 years ago
3 0

Answer:

DEC+DEF=180

DEC=180-116

DEC=64°

in triangle DCE

angle D+angle C+angle E=180

7y+6+4y+64=180

11y+70=180

11y=180-70

11y=110

y=110/11

y=10°

angle C=4y

=4(10)

=40°

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Monique Montez earns a 3.5 percent commission on all sales. She also receives a $500 bonus if her commission exceeds $4,000. Her
katen-ka-za [31]

Answer:

Her total pay is 2,887.50 since she did not make over 4000$ she will not receive the extra 500$ bonus

Step-by-step explanation:

82,500 X 3.5% = 2,887.50

5 0
3 years ago
A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al
azamat

Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

y-y_1=m(x-x_1)

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

m=120

After x_1=1.5 minutes, the balloon is at an altitude of y_1=2,150 feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

y-2,150=120(x-1.5)

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)

Now, find the height after 4 minutes:

y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450

Thus, the balloon will reach only 2,450 feet after 4 minutes.

4 0
3 years ago
8. The high school graduating class of 2000 was 260 students. Five years later, the graduating class was 320 students. By 2010,
olga nikolaevna [1]

Answer:

the question is confusing but the answer is 2010

Step-by-step explanation:

because in the year 2000 it was

260

then increased by

60

over 5 years making the next class

320

then in 2010 it was

400

and 320 + what is 400?

80

so the answer is:

2010

4 0
2 years ago
Motorola used the normal distribution to determine the probability of defects and the number
vovangra [49]

Answer:

a.P<x<9.85 orx>10.15)=0.3174, Total defects=317.4

b.p=0.0026,total defects=2.6

c.Less of the items produced will be classified as defects.

Step-by-step explanation:

a.The standard score,z, is esentially x reduced by process mean then divided my process standard deviation.

\mu=10,\sigma=0.15\\Therefore:-\\z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.15}\approx-1.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.15}\approx+1.0\\P(x10.15)=P(Z+1.0)\\=2P(Z

Total defects=Production*Probability

                      =0.3174*1000

                       =317.4

b. \mu=10,\sigma=0.05

therefore:-

z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.05}\approx-3.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.05}\approx+3.0\\\\=P(x10.15)=P(Z+3.0)\\=2P(Z

Defects=Probability*Production

            =0.0026*1000

             =2.6

c.Reducing process variation results in a significant reduction in the number of unit defects.

3 0
3 years ago
What is the cost of 2.6 pounds at $6.75 per pound?
lisabon 2012 [21]
Since the cost is $6.75 per pound, and we have 2.6 pounds, multiply 6.75•2.6 to find the cost.
It would cost $17.55.
5 0
3 years ago
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