The legs of the drafting table form vertical angles. Find the measures of ∠1, ∠2 and ∠3.

Answer:

(20.322 ; 23.678)

Step-by-step explanation:

Given that :

ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11

Mean, m = ΣΧ / N = 242 / 11 = 22

Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]

Standard deviation = sqrt[(5413/11) - (242/11)^2]

Standard deviation = sqrt(8.0909090) = 2.84

Confidence interval = m ± Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Lower boundary = 22 - 1.96*2.84/sqrt(11)

Lower boundary = 22 - (1.96 * 0.8562922) = 20.322

Upper boundary = 22 + (1.96 * 0.8562922) = 23.678

Answer:

c

Step-by-step explanation:

3x16=48

3+16+3+16=48

pls brainliest

Answer:

57.1% (to 3 s.f.)

Step-by-step explanation:

12/21 *100

Answer:

JK up FMyRick they rock TBD Trinity scrump TV TM in

I think it's away

Step-by-step explanation:

here's how I see it it's the director is telling you to move upstage the director isn't on the stage therefore you would have to move away from him

Answer:

To the back of the stage, away from the audience.

Step-by-step explanation:

Old stages used to tilt down to the audience so upstage meant to walk to the higher back part of the stage.

Answer:

80

Step-by-step explanation:

because T to R is 80 too

Answer:

[tex]approximately \: 2692 \: dollars[/tex]

Step-by-step explanation:

[tex]2100 = x \times 0.78[/tex]

We take both sides divided by 0.78

[tex]2100 \div 0.78 = x \\ 2692 = x \\ x = 2692 \: dollars[/tex]

Answer:

k = -5

Step-by-step explanation:

Hello!

The denominator is like the number under the line. So in this case, 2 would be the denominator.

~Sophia

Answer:

.8x

Step-by-step explanation:

Answer:

What exactly do you need to be answered?

Step-by-step explanation:

reeeeeeeeeeeeeeeeeeeeeeee

Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2

Step-by-step explanation:

Hope this helps

Answer:

40

Step-by-step explanation:

100/2.5=40

Answer:

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Not a user of an illegal drug.

Event B: Tests negative.

The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)

This means that [tex]P(B|A) = 0.9[/tex]

It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.

So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]

What is the probability that an athlete tests negative and is not a user of an illegal drug

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]

0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug

Answer:

oposite to its angle when they are parallel

Answer:

12

Step-by-step explanation:

you have 72 and 6

72 divided by 6 equals 12.

12 x 6 = 72

12 = x

Answer:

The outside plane located at 3 miles above the airport is of -3.6 degrees.

Step-by-step explanation:

The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground.

This means that the temperature in n miles above ground is given by:

[tex]T(n) = 12 - 5.2n[/tex]

What would be temperature outside plane located at 3 miles above the airport

This is T(3). So

[tex]T(3) = 12 - 5.2*3 = 12 - 15.6 = -3.6[/tex]

The outside plane located at 3 miles above the airport is of -3.6 degrees.

Answer:

6 8 10 12 14

Step-by-step explanation:

Answer:

229 ft²

Step-by-step explanation:

Note that the volume is 2061 ft³, not 2061 ft.

area of floor = volume÷height = (2061 ft³)/(9 ft) = 229 ft²

Answer:

3.3

Step-by-step explanation:

Answer:

80 minutes

35.2 km

Step-by-step explanation:

You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.

The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal

That means that

.44t = 35t + 7.2                     Subtract 0.35t  from both sides

0.44t - .35t = 7.2      

0.09 t  = 7.2                          Divide

t = 7.2/0.09

t = 80 minutes

How far apart are they from the starting point?

d = 0.44t

d = 0.44 * 80

d = 35.2 km from the starting point.

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Answer:

y

≤

−

x

−

2

(1)

y

≥

−

5

x

+

2

(2)

First graph the 2 linear functions by intercepts:

a. y1 = - x - 2

Make x = 0 --> y-intercept is -2

Make y = 0 --> x-intercept is - 2

b. y2 = -5x + 2

Make x = 0 --> y-intercept is 2

Make y = 0 --> x-intercept is

2

5

Graphically solve the 2 linear inequalities (1) and (2).

The solution set of (1) is the area below the line y1. Color it.

The solution set of (2) is the area above the line y2. Color it.

The combined solution set of the system is the area commonly shared by the 2 above solution set areas.

graph{-x - 2 [-10, 10, -5, 5]}

graph{-5x + 2 [-10, 10, -5, 5]}

Answer:

true

Step-by-step explanation:

take away 1/3 from 5 and you get four and a third

Answer: 22/3

Step-by-step explanation:

So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.

The common denominator of the two would be 6.

[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]

Add the 27/6 to both sides

[tex]\frac{11}{6}=\frac{1}{4}x[/tex]

Divide the 1/4 to both sides

[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]

9514 1404 393

Answer:

  (A)  -7

Step-by-step explanation:

The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.

  x^2 +2 = 6x +k  . . . . . must be true at x=3

  3^2 +2 = 6(3) +k . . . . substitute 3 for x

  9 +2 -18 = k . . . . . . . . subtract 18

  k = -7 . . . . . . . simplify

Answer:

Add

Step-by-step explanation: