Question 4 of 40
A building has three elevators. Each elevator is out of order 30% of the time.
The following set of random numbers represents 20 simulations of the
elevators, with 0, 1, and 2 representing a broken elevator and 3, 4, 5, 6, 7, 8,
and 9 representing a working elevator. In how many of the simulations were
all three elevators working?
931
188 763 841 559 144 652 277
653 673
404 396 011 843 599 797 414 761 273 844

Answer:

you can use SSA to prove congruence. side DE and AB are congruent, and C and F are both right angles

Answer:

yes, that information is sufficient

Step-by-step explanation:

when y is given, you can prove that the triangles are congruent by RHS axiom. R- right angle H-hypotenuse S- side

to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.

Answer:

x=25

Step-by-step explanation:

2x+40=90

90-40=50

50 divided by 2 is 25

x=25

Answer:

(- 7, - 5 )

Step-by-step explanation:

Answer:

-10, -4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

You have to have the 2 or 3 as the first digit.

After that, the other 3 digits can be done in 3! = 6 ways.

So, the total is 2*3! = 12

Answer:

Step-by-step explanation:

Givens:

Eq. 1 )  x + y = 5

Eq 2 )  x = 1 + y  

plug x into Eq 1 from Eq 2

(1+y) + y = 5

algebra them out

2y = 4

y = 2

then

x + 2 = 5

x = 3

Answer:

5. 1/9? 6. -22? 7. -2? 8. -15? 9. -5? 10. 5?

Answer: 11. A and B

12. 520 cubic feet.

Step-by-step explanation: 11. The volume for a prism is base x height. Thus, it would be 2 x 3 x 3 or 6 x 3 to get a total of 18 cubic units.

12. The first compartment's volume is 5 x 7 x 8 or 280. The second compartment is 5 x 6 x 8 or 240. The total would be 280 + 240 or 520 cubic feet.

Answer:

11.B

12.520

Step-by-step explanation:

5.7.8=280

5.6.8=240

TOTAL=520

Answer:

=z ^(-11) + ^(-15)

= z ^ -26

Answer:

z^-11 times z^-15 = z^-26

Step-by-step explanation:

According to exponential properties, multiplying two numbers that have exponents with the same bases should be added.

Negative exponents mean to go from a^-x to 1/a^x.

Using these properties, we evaluate the expression.

Both terms have the same base, z, so we can go ahead and add the exponents.

-11 + -15 = -26

z^-11 * z^-15 = z^-26

Because the instructions specifically say to leave it in z^n form, our answer is z^-26.

Hope this helped!!

Answer:

1.2m

Step-by-step explanation:

1 meter = 100 cm

120cm * (1m/100cm)  = 1.2m

Answer:

1. 147°

3. 147°

4. 33°

Step-by-step explanation:

hope this helps!

Answer:

D

Step-by-step explanation:

sorry if the answer is wrong

Answer:

the third one/second one

Step-by-step explanation:

Answer:

126 burned calories per hour

There are 60 minutes in 1 hour, so ir you multyply 21 x 6 your answer will be 126.

Answer:

126

Step-by-step explanation:

there are 60 minutes in an hour so divide 60 by 10 to get 6 and multiply by 21 to get 126

Answer:

area of rectangle=432 m^2

area of triangle=750 in.^2

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Find the distance in the x-direction between the x-components:  2 - (-7) = 9.

Similarly: between the y-components:  1 - (-6) = 7

Apply the Pythagorean Theorem:  9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4

Answer:

Square root of 130

Step-by-step explanation:

Use the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex](x_{1}, y_{1} )[/tex] is your first set of coordinates : (2, -6)

[tex](x_{2}, y_{2} )[/tex]is your second set of coordinates : (-7, 1)

Answer:

the first is  1/5 what are the other options

Step-by-step explanation:

Answer:

b140

Step-by-step explanation:

14*10=140 that's all

Answer:

the answer is B

Step-by-step explanation:

because 14*10 is 140

Answer:

1) A week: $151.74

2) A month : $606.96

3) A years : $7890.48

Step-by-step explanation:

Custodian at Movie Theater

pay:$9.95

per hours:

15.25 hours per week

How much do they make in

1) a- week

1 week = 15.25 hours

Hence,

1 hour = $9.95

15.25 hours = x

Cross Multiply

x = 15.25 × $9.95

x = $151.7375

Approximately = $151.74

2) A month

There are 4 weeks in a month

1 week = $151.74

4 weeks = x

Cross Multiply

x = 4 × $151.74

x = $606.96

3) A year

There are 52 weeks in a year

Hence,

1 week = $151.74

52 weeks = x

Cross Multiply

x = 52 × $151.74

x = $7890.48

Therefore, they made in :

1) A week: $151.74

2) A month : $606.96

3) A years : $7890.48

Answer:

the power of a should be 3.

9514 1404 393

Answer:

  (-5, -2)

Step-by-step explanation:

That point P can be found from ...

  P = A + 1/5(B -A)

  P = (4/5)A +(1/5)B = (4A +B)/5

  P = (4(-6, -4) +(-1, 6))/5 = (-24-1, -16+6)/5 = (-25, -10)/5

  P = (-5, -2)

Answer:

the answer is (-5,-2)

Step-by-step explanation:

:))

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.

Answer:

See below for answers

Step-by-step explanation:

300° is in Quadrant IV, so its reference angle is 360°-300°=60°

225° is in Quadrant III, so its reference angle is 225°-180°=45°

480°=120° is in Quadrant II, so its reference angle is 180°-120°=60°

-210°=150° is in Quadrant II, so its reference angle is 180°-150°=30°

Answer:

A. The y-intercept represents the amount of money Stephanie has. She started at -16 because she spent $16.

B. The x-intercept is the amount of cups of lemonade she sold. On the graph, it shows that after 8 cups, she made 16 dollars back. She didn't make any profit sense she started at -16.

C. The slope represents how much she made after so many cups of lemonade were sold. It was after 8 cups of lemonade were sold that she started making a profit.

Step-by-step explanation:

Answer:ANSWER IS CBD by  ?

Step-by-step explanation:

ok so ABC is equal to 180 degreess so /_\ would a right angle which is 90

Answer:

Yes, they would get different values

Step-by-step explanation:

Given

[tex](4 * 35) + (36 * 8)[/tex]

Required

Would there be different value for the expression?

From the question, we understand that both students made no computational errors. This doesn't mean that the students cannot make other errors.

For instance, the expression can be solved (wrongly) in the following ways;

[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 140 + 36 * 8 \to 176 * 8 = 1408[/tex]

[tex](4 * 35) + (36 * 8) \to 4 * 35 + 36 * 8 \to 4 * 71 * 8 \to = 2272[/tex]

While the correct solution is:

[tex](4 * 35) + (36 * 8) \to 140 + 288 =428[/tex]

Hence, it is possible for two students to get different values

Answer:

A maximum of 4 days

Step-by-step explanation:

Inequality: 95 + 11.50x ≤ 150

Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.

95 + 11.50x ≤ 150

-95                   -95

11.50x ≤  55

/11.50       /11.50

X=4.78260869565

You would round down since he has a budget.