All categories

3 years ago

Can someone help me with these problems and explain them as well please

Mathematics

2 answers:

olga_2 [115]3 years ago

7 0

Answer:

b=112°

Step-by-step explanation:

two complementary angles

b=180°-68°=112°

sum of 2 angles is

x= 35°+25°=60°

spayn [35]3 years ago

6 0

Answer:

3. b=112

4. x = 60

Step-by-step explanation:

b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.

35+25 = 60, therefore x = 60.

You might be interested in

Please help giving brainlest!!<br> no links <br> no unnecessary comments<br> thank you<br> :)

seraphim [82]

Answer:

Last point is at (7,-3)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium

blagie [28]

Answer:

d. 23

Step-by-step explanation:

x: small hat

y: medium hat

z: large hat

We now write the system of equations:

x + y + z = 47

5.50x + 6y + 7z = 302

-3x + y = 0

We can write the system in matrix form as:

Ax = b

Where,

A = [1 1 1; 5.50 6 7; -3 1 0]

b = [47; 302; 0]

x = [x; y ; z]

Solving the system we have:

x = 6

y = 18

z = 23

hope this helps

correct me if this is wrong

7 0

3 years ago

PLEASE HELP!!! SHOW WORK PLEASE!! LAST QUESTION!!!!! PLEASE

Allushta [10]

Answer:

133

Step-by-step explanation:

its an obtuse angle

5 0

3 years ago

From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4 degrees. To the nearest meter, what is the

PIT_PIT [208]

Answer:

Step-by-step explanation:

The side opposite to the 4 degree angle is 18 m

The side adjacent the 4 degree angle is x

tan(4) = opposite / adjacent

adjacent = opposite / (tan(4))

adjacent = 18 / tan(4)

adjacent = 257.41

8 0

3 years ago

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonet

Alexandra [31]

Answer:

The variable x will follow a geometric distribution, with mean = 3 and standard deviation = 3.46.

The values for P(x) are:

$P(0)=0.25\\\\P(1)=0.1875\\\\P(2)=0.1406\\\\P(3)=0.1055\\\\P(4)=0.0791\\\\P(5)=0.0593\\\\P(6)=0.0445\\\\P(7)=0.0334\\\\P(8)=0.025\\\\P(9)=0.0188\\\\P(10)=0.0141\\\\$

Step-by-step explanation:

This kind of random variables can be descripted by the geometrical distribution.

This distribution shows the probability of having an amount of "failures" before the first "success" (or the other way).

Let x be the number of trustworthy FBI agents tested until someone fails the test. The probability of failing a test is p=0.25

Then, the probability of x is:

$P(x)=q^x\cdot p$

The values for the first x are:

$P(0)=0.75^0\cdot 0.25=0.25\\\\P(1)=0.75^1\cdot 0.25=0.1875\\\\P(2)=0.75^2\cdot 0.25=0.1406\\\\P(3)=0.75^3\cdot 0.25=0.1055\\\\P(4)=0.75^4\cdot 0.25=0.0791\\\\P(5)=0.75^5\cdot 0.25=0.0593\\\\P(6)=0.75^6\cdot 0.25=0.0445\\\\P(7)=0.75^7\cdot 0.25=0.0334\\\\P(8)=0.75^8\cdot 0.25=0.025\\\\P(9)=0.75^9\cdot 0.25=0.0188\\\\P(10)=0.75^{10}\cdot 0.25=0.0141\\\\$

This probability will be descending as the the variable x increases.

The mean is:

$\mu=\frac{1-p}{p}= \frac{1-0.25}{0.25}=\frac{0.75}{0.25}=3$

The standard deviation is:

$\sigma=\sqrt{\frac{1-p}{p^2}} =\sqrt{ \frac{0.75}{0.25^2} }=\sqrt{12}= 3.46$

5 0

3 years ago