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3 years ago

If parallel lines a and b are cut by transversal t, then which statement about angles 1 and 2 must be true?

Mathematics

1 answer:

alex41 [277]3 years ago

8 0

Did you not include D or finish writing D since the first three are not right. If one of the possible answers is that they are alternate exterior angles or the same degrees, that would be the answer.

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Find all solutions to the equation in the interval [0, 2π). cos 2x - cos x = 0

Jlenok [28]

This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π

4 0

3 years ago

Read 2 more answers

According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health

katen-ka-za [31]

Answer:

a) The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b) The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c) The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d) A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

Step-by-step explanation:

a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?

For college graduates in business, the salary distributes normally with mean salary of $53,901 and standard deviation of $15,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

$z=\frac{x-\mu}{\sigma} =\frac{65000-53901}{15000} =0.74$

The probability is then

$P(X>65,000)=P(z>0.74)=0.22965$

The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?

For college graduates in health sciences, the salary distributes normally with mean salary of $51,541 and standard deviation of $11,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

$z=\frac{x-\mu}{\sigma} =\frac{65000-51541}{11000} =1.22$

The probability is then

$P(X>65,000)=P(z>1.22)=0.11123$

The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?

To calculate the probability of earning less than $40,000, we can calculate the z-value:

$z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05$

The probability is then

$P(X$

The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?

The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

$X=\mu+z*\sigma=51,541+2.3265*11,000=51,541+25,592=77,133$

A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

8 0

3 years ago

Please help im having problem

jeka94

Answer:

Step-by-step explanation:

Do i need to explain ??????

3 0

3 years ago

Plz help ill give u brainlist plz asap

elena-14-01-66 [18.8K]

Base area = 6 ( 1/2 x 6 x 5.2) = 93.6 cm²

Volume = base area x height = 93.6 x 17 = 1591.2cm ³

-------------------------------------------
Answer: Volume = 1591.2 cm³
-------------------------------------------

8 0

3 years ago

A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +3. It then

Anna11 [10]

Answer:

-1.2 cm

Step-by-step explanation:

Let's figure out where the ant is after each step.

Step 1

Start at +3.0

Move left - 1.5

Now at +1.5

Step 2

Start at +1.5

Move right + 4.9

Now at +6.4

Step 3

Start at +6.4

Move left - 7.6

Now at -1.2

The ant is now at -1.2 cm.

6 0

3 years ago