Length of an arc of a sector of angle pº
of a circle with radius Ris

Answer:

13,500

Step-by-step explanation:

1925 x 7 = 13,475

13,475

5 and up means round up so we start at the ones place.

13,500

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Answer:

28$

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

After 4 hours, the north-bound truck will have traveled 232 miles and the south-bound truck will have traveled 256 miles.  232 + 256 = 488 miles.

Answer:

The answer is "Sample size is important when the population is not normally distributed ".

Step-by-step explanation:

The theorem for the central limit indicates that perhaps the sample distribution of means by the sample is close to the confidence interval independent of the underlying population demographics when large samples are derived from every population, with \(mean = \mu\) and confidence interval \((S.D) = \sigma\). The bigger the sample, the stronger the approach (typically \(n \geq 30\)). The sample is therefore significant unless the population is not typically spread.

An example of independent events is P(Police Officers and choose cars).

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent if we have:

P(A ∩ B) = P(A)P(B)

                    Police Officers         Firefighters

Cars               12                             3

Trucks            9                              4

SUVs              15                             2

Let  P(A) = Firefighters choose cars

P(B) = Firefighters choose Trucks

P(A ∩ B)  =  Police Officers choose cars

Thus,

P(A ∩ B) = P(A)P(B)

12 = (4) ( 3)

Hence,  an example of independent events is P(Police Officers and choose cars).

Learn more about independent events;

https://brainly.com/question/12619550

#SPJ1

The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

When shape P is enlarged by the scale factor and the centre, the new coordinates would be (2, 6), (6, 6), (0, 8), and (4, 8).

The current coordinates are:

( 1 , 3 ) ( 3, 3 ) ( 0, 4 ) and ( 2, 4 )

The new coordinates, with an expansion of 2 would be:

Point 1:

New coordinates: (1 x 2, 3 x 2) = (2, 6)

Point 2:

New coordinates: (3 x 2, 3 x 2) = ( 6, 6 )

Point 3:

New coordinates: ( 0 x 2, 4 x 2) = ( 0, 8 )

Point 4:

New coordinates: (2 x 2, 4 x 2) = ( 4, 8 )

The enlarged figure would have coordinates at  (2, 6), (6, 6), (0, 8), and (4, 8).

Find out more on enlargement at https://brainly.com/question/27964084

#SPJ1

The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

To learn more about outlier of data set refer here

https://brainly.com/question/12982142

#SPJ9

Answer:

2F /r = m

Step-by-step explanation:

F=1/2 mr

Multiply each side by 2

2F = 2*1/2 mr

2F = mr

Divide each side by r

2F/r = mr/r

2F /r = m

The 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.

A z-score calculates how many standard deviations an observation is from the mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative.

For the 3-year-old boy, the z-score is:

z = (43 - 38) / 2 = 2.5

The z-score for the 10-year-old girl is:

z = (57 - 54.5) / 2.5 = 1

The 3-year-old boy has a higher z-score than the 10-year-old girl, indicating that he is more unusually tall for his age and gender. This is due to his height, which is higher than the average for his age group 38 inches .

Therefore, the 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.

Learn more about standard deviations here : brainly.com/question/28225633

#SPJ1

Answer:

step 1 is wrong ........

Answer:

sixty seven thousand two hundred thirty five

Answer:

Sixty seven thousand tow hundred thirty five

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

For more such questions on probability, click on:

https://brainly.com/question/31048927

#SPJ8

Complete question :

An electronics store receives a shipment of 35 graphing calculators, including 7 that are defective. 8 of these calculators are selected for a local high school. (A) How many selections can be made? (B) How many of these selections will contain no defective calculators?

Answer:

23535820 ways

3108105 ways

Step-by-step explanation:

A.) How many selections can be made:

Number of ways of selecting 8 calculators from 35

35C8 :

Combination formula :

nCr = n! /(n-r)! r!

35C8 = 35! / (35-8)!8!

35C8 = 35! / 27! 8!

35C8 = (35*34*33*32*31*30*29*28) / (8*7*6*5*4*3*2*1)

35C8 = 948964262400 / 40320

= 23535820 ways

B.) number of non-defective calculators :

35 - 7 = 28

28C8 = n! /(n-r)! r!

28C8 = 28! / (28-8)!8!

28C8 = 28! / 20! 8!

28C8 = (28*27*26*25*24*23*22*21) / (8*7*6*5*4*3*2*1)

28C8 = 2506375872000 / 40320

= 3108105 ways

Answer:

x = 5

Step-by-step explanation:

Since Q is the midpoint of PR,

PQ = QR

=> 3x + 2 = 7x - 18

=> 3x - 7x = -18 - 2

=> -4x = -20

=> x = -20/-4

=> x = 5

Hope it helps :)

Please mark my answer as the brainliest

Answer:

I think the answer is 8

Step-by-step explanation:

t h e   a n s w e r   i s    8   b c    f o r    e v e r y  1  b o o k   i t s   8$

40   d i v i d e d    b y    5   i s  8

 h o p e   t h i s   h e l p s :)

Answer:

A. 8.0 inches

you will have to use the formula A= 2(LW + LH + WL)

Answer:

\(\frac{1}{2-tan(y)} = \frac{3\sqrt{3}}{6\sqrt{3}-1}\)

After Rationalising:

\(\frac{1}{2-tan(y)} = \frac{54 +3\sqrt{3}}{107}\)

Step-by-step explanation:

tan(x) = 3√3

x + y = 90 (complimentary angles)

⇒ x = 90 - y

tan(\(\frac{\pi}{2}\) - θ) = cot(θ)

⇒ tan(90 - θ) = cot(θ)

⇒ tan(90 - y) = cot(y)

⇒ tan(x) = cot(y)

⇒ cot(y) = 3√3

⇒ \(\frac{1}{tan(y)}\) = 3√3

⇒ tan(y) = \(\frac{1}{3\sqrt{3}}\)

\(2-tan(y) = 2 - \frac{1}{3\sqrt{3}} \\\\= \frac{2*3\sqrt{3} -1}{3\sqrt{3} } \\\\= \frac{6\sqrt{3} -1}{3\sqrt{3} }\\\\\\\implies \frac{1}{2-tan(y)} \\\\= \frac{3\sqrt{3}}{6\sqrt{3}-1}\)

Multiply and divide by : 6(√3) + 1

\(\frac{3\sqrt{3}}{6\sqrt{3}-1}\frac{6\sqrt{3}+1}{6\sqrt{3}+1}\\ \\= \frac{(3*6*\sqrt{3}*\sqrt{3}) + 3\sqrt{3}}{6^2 * (\sqrt{3})^2 -1^2}\\\\= \frac{18*3 +3\sqrt{3}}{36*3 -1}\\\\= \frac{54 +3\sqrt{3}}{108-1}\\\\= \frac{54 +3\sqrt{3}}{107}\)

The radius of a circle with the same vertex as a center is 12 units

To get the radius of the circle, we need to determine the diameter of the circle first:

According to SOH CAH TOA:

\(sin\theta = \frac{opp}{hyp} \\sin60 = \frac{12\sqrt{3}}{hyp} \\hyp =\frac{12\sqrt{3}}{sin60} \\hyp =\frac{2\times12\sqrt{3}}{\sqrt3}} \\hyp = 24 = diameter\)

Determine the radius of the circle

Radius = dismeter/2

Radius = 24/2

Radius = 12

Hence the radius of a circle with the same vertex as a center is 12 units

Learn more on radius of a circle here: https://brainly.com/question/24375372

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

Learn more about the experiments at

brainly.com/question/17274244

#SPJ1

Random experiment with order, replacement and without repetition

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

Read more on graphs:

https://brainly.com/question/19040584

#SPJ1

Answer:

10 min, 780 m/min, 360m/min

Answer:

258.65 mg will be remain after 1000 years

Step-by-step explanation:

This problem can be solved several ways, I prefer the natural log approach for reasons I won’t go into here:

Activity final = Activity initial e^-kt, where

k = the decay constant, = ln2/half life = 0.693/1590, = 0.000436/year

t = the decay time, in the same time base as k

The problem can be worked in units of activity, mass, or number of atoms.

400 x e^-0.000436 x 1000 = 400 x e^-.436 = 258.65 mg

you can check this by estimating. There is about 2/3 of a half life, so there should be more than 200 mg, which would be the value at one half life.

a. The number of ways that this is done, if the order of the choices is relevant is 12 ways.

b. The number of ways that this be done, if the order of the choices is irrelevant is 6 ways

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

= n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

When the orders are relevant, this will be:

= 4! / (4 - 2!)

= 4! / 2!

= 12

When orders are irrelevant, this will be:

= 4! / (4 - 2!)2!

= 6 ways

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

the given expression is

log 0.15 = - 0.8239

correct answer is option A

Answer:

Hello there! There is a 1/4 chance of getting the same result on both flips, keeping in mind that a coin only has 2 sides.

Step-by-step explanation:

There is a 1/2 chance of getting a result on one flip. So we now have to multiply that by getting the same result on another flip.

1/2 × 1/2 = 1/4

Hope this helps! :)

The probability of obtaining the same result on each coin will be 1/2.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Ken flips 2 fair coins. The total events are given as,

Total event = 2 x 2

Total event = 4 {TT, HT, TH, HH}

The probability of obtaining the same result on each coin will be given as,

Favorable events = 2 {TT, HH}

P = 2 / 4

P = 1/2

The probability of obtaining the same result on each coin will be 1/2.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2