Translate into PROP, using the conventions.

a. Pia is guilty only if Raquel is.
b. Pia is guilty if Raquel is.
c. If Quinn or Raquel is guilty, then Pia is too.
d. If neither Pia nor Quinn is guilty, then neither Raquel nor Stan is guilty.
e. If Pia is guilty, then if Raquel is guilty then Quinn is guilty.

Answer:

√86 cm

Step-by-step explanation:

radius² + h² = slope²            slope = 10       radius = 4

               h² = slope² - radius²

               h  =  √(slope² - radius²)

                   =  √(10² - 4²)

                   =  √ 86

                   =

Answer: 84

...........

Answer:

the value is 20 out of 100

Step-by-step explanation:

Answer:

C for the first one

1,6 for the second

Neither for the third

Step-by-step explanation: EDGE 2021

Answer:

The first Question is C

Question 2 is 1,6

Question 3 is Neither

Step-by-step explanation:

trust me I took the quiz

Answer:

40

Step-by-step explanation:

The shape is a parallelogram.

formula = A = bh

b = 10

h = 4

10 x 4 = 40

Answer:

(a) 720 ways

(b) 120 ways

(c) 24 ways

Step-by-step explanation:

Given

[tex]Word = DANCER[/tex]

[tex]n =6[/tex] --- number of letters

Solving (a): Number of arrangements.

We have:

[tex]n =6[/tex]

So, the number of arrangements is calculated as:

[tex]Total =n![/tex]

This gives:

[tex]Total =6![/tex]

This gives:

[tex]Total =6*5*4*3*2*1[/tex]

[tex]Total =720[/tex]

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

[tex]n = 5[/tex]

So, the number of arrangements is calculated as:

[tex]Total =n![/tex]

This gives:

[tex]Total =5![/tex]

This gives:

[tex]Total =5*4*3*2*1[/tex]

[tex]Total =120[/tex]

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

[tex]n = 4[/tex]

So, the number of arrangements is calculated as:

[tex]Total =n![/tex]

This gives:

[tex]Total =4![/tex]

This gives:

[tex]Total =4*3*2*1[/tex]

[tex]Total =24[/tex]

Answer:

$151.80 was the total bill including tip.

Step-by-step explanation:

$126.50 x 20% = $25.30

$126.50 + $25.30 = $151.80

Answer:

25

Step-by-step explanation:

1/2 b h

1/2×10×5=25

so i guess the ans is 25 thats all I know

u take 1/2 base ×height

Answer:

Area of circle = 201.09 ft²

Step-by-step explanation:

Given the following data;

Radius, r = 8 ft

To find the area of the circular area;

Area of circle = πr²

Area of circle = 3.142 * 8²

Area of circle = 3.142 * 64

Area of circle = 201.09 ft²

Therefore, the measurement which is closest to the area is 201.09 square feet.

Answer:

A. 60.5 [tex]in^{3}[/tex]

Step-by-step explanation:

A = 1/3(area of base)(h)

= 1/3(22)(8.25)

= 60.5 [tex]in^{3}[/tex]

Answer:

48

Step-by-step explanation:

times 4 times 3 times 4 + 48

Answer:

2: 176.8mm

4: ?

Step-by-step explanation:

2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8

4: I can't see the problem, sorry :(

Answer:

2. 2461.8

4. 86.6

Explanation:

your formula for area is pi×radius^2

you are using 3.14 for pi

and your radius is half way across the circle or half the diameter.

2. 3.14×(28)^2

3.14×784

=2461.8

4.This one shows the diameter so you have to divide it by 2 first.

10.5/2=5.25

radius=5.25

3.14×(5.25)^2

3.14x27.5625

=86.6

I ROUNDED BOTH ANSWERS AT THE END

Answer:

1 should be 90 degrees because if u look at the angle its a right angle

2 its an obtuse angle so those angles are more than 90 degrees but less than 180 so its 150 degrees

Answer:

D: corresponding angle

hope it helps.

Answer:

corresponding angles

Step-by-step explanation:

hope it is helpful ><

Answer:

-8/1

Step-by-step explanation:

Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.

Here's another example:

If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.

Answer:

1/3

Step-by-step explanation:

Look in the figure and circle all double rolls and all sums that equal 10.

See pic below. Then count them. There are 12.

12/36 = 1/3

Answer:

Step-by-step explanation:

We can do this quite simply by using Newton's equation: forcegravity = G × M × mseparation2 .

Suppose: your mass, m, is 60 kilogram; the mass of your colleague, M, is 70 kg; your centre-to-centre separation, r, is 1 m; and G is 6.67 × 10 -11 newton square metre kilogram-2.

Answer:

(a) [tex]Total= 9000[/tex]

(b) [tex]Total = 4500[/tex]

(c) [tex]Total = 4536[/tex]

(d) [tex]Total = 2240[/tex]

(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits

[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits

Step-by-step explanation:

Solving (a): Integers from 1000 to 9999

To do this, we simply add 1 to the range.

i.e.

[tex]Total= Range +1[/tex]

Range is the difference between the given interval.

[tex]Total= 9999 - 1000 +1[/tex]

[tex]Total= 9000[/tex]

Solving (b): Odd integers

This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)

The first digit can not be 0 (i.e any of the remaining 9 digits)

There is no restriction to other digits

Numbers from 1000 to 9999 are 4 digits, so the possible selection are:

[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]

Total selection is:

[tex]Total = 9 * 10 * 10 * 5[/tex]

[tex]Total = 4500[/tex]

Solving (c): Distinct digits

This implies that all 4 digits are different and the first can not be 0.

So, we have:  

[tex]First = 9[/tex] i.e. (1 - 9)

[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit

[tex]Third = 8[/tex]

[tex]Fourth = 7[/tex]

Total selection is:

[tex]Total = 9*9*8*7[/tex]

[tex]Total = 4536[/tex]

Solving (d): Odd digits that are distinct

This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)

The first digit can not be 0 and must be different from the last (i.e 8 digits)

The second digit must be different from the first and the last(i.e. 8 digits)

The third digit must be different from the three other digits (i.e. 7 digits)

So,

[tex]Total = 5 * 8 * 8 * 7[/tex]

[tex]Total = 2240[/tex]

Solving (e): Probability that a number is distinct

In (a), total possible digits is 9000

In (c), total distints are 4536

So, the probability is:

[tex]Pr = \frac{4536}{9000}[/tex]

[tex]Pr = 0.5040[/tex]

In (d), total odd distinct digits are 2240

So, the probability is:

[tex]Pr = \frac{2240}{9000}[/tex]

[tex]Pr = 0.2489[/tex]

Answer:

# of laps < 28, the number of laps will be less than 28.

1 lap = 4 minutes

28 laps = 112 minutes

Because we want less than 28 laps,

27 laps = 108 minutes

She can run any amount of laps less than 28.

Answer:

101

Step-by-step explanation:

180-79=101

have a great day

Answer:

the value of x is 101 degrees

Answer:

Step-by-step explanation:

10 -2.95 = 7.05

the scarf cost $ 7.05

Answer:

4456646

Step-by-step explanation:

its that bc we add

Answer:

The wavelength of the second pitch is 12.23 feet.

Step-by-step explanation:

Since the pitch P of a musical tone varies inversely as its wavelength w, and one tone has a pitch of 321 vibrations per second and a wavelength of 10.5 feet, if another tone has a pitch of 374 vibrations per second, to determine what is its wavelength the following calculation must be performed:

321 = 10.5

374 = X

374 x 10.5 / 321 = X

3927/321 = X

12.23 = X

Therefore, the wavelength of the second pitch is 12.23 feet.

Answer:

142°

Step-by-step explanation:

Minor arc QN = m(MN) + m(QM)

n(MN) = m<MKN = 90° (central angle = measure of intercepted arc)

m(NO) = m<NKO = 38° (measure of intercepted arcs)

m(QM) = 180° - (m(MN) + m(NO)) (half circle)

Substitute

m(QM) = 180° - (90° + 38°)

m(QM) = 52°

✔️Minor arc QN = m(MN) + m(QM)

Substitute

Minor arc QN = 90° + 52° = 142°

Answer:

2x+1

Step-by-step explanation:

the second answer

Answer:

it the last choice

Step-by-step explanation:

you simply put the the x value and solove

Answer:

the answer would be 1 sorry if I'm wrong

Answer:

the answer is 1/9 trust me its right

Step-by-step explanation:

Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Add all paper clip sizes together:

[tex]100 + 250 + 150 = 500[/tex]

They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.

[tex]100 + 250 = 350[/tex]

Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.

Can divide 350 and 500 by 50, which simplifies it down to 7/10.

[tex]\frac{350}{500} = \frac{7}{10}[/tex]

The probability that the paper clip selected is either small or medium is 7/10.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)

= 100/500 + 250 / 500 = 350 / 500 = 7/10

To learn more about probability, please check: https://brainly.com/question/13234031

Answer:

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Step-by-step explanation:

A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 35 milligrams. You want to test this claim.

At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:

[tex]H_o: \mu = 35[/tex]

And at the alternate hypothesis, you test if the content is different from 35, so:

[tex]H_a: \mu \neq 35[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

35 is tested at the null hypothesis:

This means that [tex]\mu = 35[/tex]

During your​ tests, you find that a random sample of thirty​ 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.

This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]

[tex]z = 1.35[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.

Looking at the z = -1.35 has a pvalue of 0.0885

2*0.0885 = 0.177

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.