TRUE or FALSE:
(a) Two lines parallel to a third line are parallel.
(b) Two lines perpendicular to a third line are parallel.
(c) Two planes parallel to a third plane are parallel.
(d) Two planes perpendicular to a third plane are parallel.
(e) Two lines parallel to a plane are parallel.
(f) Two lines perpendicular to a plane are parallel.
(g) Two planes parallel to a line are parallel.
(h) Two planes perpendicular to a line are parallel.
(i) Two planes either intersect or are parallel.
(j) Two lines either intersect or are parallel.
(k) A plane and a line either intersect or are parallel.

Answer: 22,084,920 different clubs

Step-by-step explanation:

The club must have 6 juniors and 8 seniors

We have a total of 13 juniors and 16 seniors.

Now, we know that the possible combinations of N objects into a group of K is equal to:

[tex]C = \frac{N!}{(N-K)!*K!}[/tex]

For the juniors we have N = 13 and K = 6

[tex]Cj = \frac{13!}{7!*6!} = \frac{13*12*11*10*9*8}{6*5*4*3*2*1} = 1716[/tex]

For the seniors we have N = 16 and K = 8

[tex]Cs = \frac{16!}{8!8!} = \frac{16*15*14*13*12*11*10*9}{8*7*6*5*4*3*2*1} = 12870[/tex]

Now, as the group consist on both combinations togheter, the number of different clubs that can be formed are:

C = Cj*Cs = 1,716*12,870 = 22,084,920

Answer:

  {6-√21, 6+√21}

Step-by-step explanation:

It usually works well to put the x-terms on one side of the equal sign. Then add the square of half the x-term coefficient.

  x^2 -12x = -15 . . . . . . subtract 12x

The x-term coefficient is -12, so the square of half that is (-12/2)^2 = 36. Adding 36, we have ...

  x^2 -12x +36 = -15 +36

  (x -6)^2 = 21

  x -6 = ±√21 . . . . . take the square root

  x = 6 ±√21 . . . . . add 6

The solution set is ...

  {6-√21, 6+√21}

Answer:

x×x-5x-6

x × -4X - 6

Step-by-step explanation:

x×x-5x-6

x × -4X - 6

Answer:

75%

Step-by-step explanation:

48 of 64 times 100

48/64 × 100

0.75 × 100

75

So 75% of the bottle of orange juice is water

Hope this helps!!

Answer:

No, the origin is Located at (0,0)

Answer:

no

Step-by-step explanation:

The origin is located at the center of a graph, at (0, 0)

Answer:

10 inches

Step-by-step explanation:

It is 10 inches as you have chosen because the length from the midpoint to a side or the apothem is the length of one side. As given, a side length is 10 inches so, the length of the apothem is 10 inches.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

[tex]5\sqrt{3} inches[/tex]

Step-by-step explanation:

Answer:

976

Step-by-step explanation:

triangle= 1/2(24)14 times 2

square or rectangle= 10(14), 10(25), 10 (25)

Answer:

  about 2357 years

Step-by-step explanation:

You want to find t such that ...

  0.79 = e^(-.0001t)

Taking natural logs, we get ...

  ln(0.79) = 0.0001t

  ln(0.79)/-0.0001 = t = 2357 . . . years

Answer:

See image

Step-by-step explanation:

Answer:

= 4.32 × 10^6

(scientific notation)

= 4.32e6

(scientific e notation)

= 4.32 × 10^6

(engineering notation)

(million; prefix mega- (M))

= 4320000

(real number)

Hence number using scientific notation is 4.32*[tex]10^{6}[/tex]

When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation. 650,000,000, for example, can be expressed as 6.5 108 in scientific notation. Sal Khan and the CK-12 Foundation collaborated on this project.

Given   4,320,000 which can be broken in 432*10000

Which can be written as 432*[tex]10^{4}[/tex]

432 can be written as 4.32*100*[tex]10^{4}[/tex]=4.32*[tex]10^{6}[/tex]

Hence number using scientific notation is 4.32*[tex]10^{6}[/tex]

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In order to wipe out the whole job, it takes

(9 persons) x (8 hours/day) x (25 days)  =  1,800 person-hours .

12 workers working for 15 days will accomplish

(12 persons) x (H hours/day) x (15 days)  =  180H person-hours  of work.

180H person-hours  =  1,800 person-hours

H = 10

The 12-person team must work 10 hours/day to make this scheme all work out.  

What'll really happen:  

-- In order to keep tabs on the project and make sure it gets done on the accelerated schedule, the managers in Chicago in suits will assign the supervisor to complete the project in 14 days instead of 15, and they'll require him to send them a status report twice each day.

-- After completing and emailing the Noon status report each day, the supervisor will put on his hard-hat and PPE, and head out to work alongside the 12 sweating workers, who will all begin to sag when they pass 9 hours each day.

-- Day #12 will be solid torrential rain, and no progress will be possible.  The men will want to get some rest, but Chicago will call a Zoom meeting to deliver a motivational pep-talk. Attendance will be mandatory.

-- Days #13 and #14 will stretch to 12 hours, but the project will finish in the allotted 14 days.

-- On Day #15, in Chicago, the customer will treat the managers to a fine dinner, drinks, and a Bulls game, in appreciation for completing the project in 15 days.  In the field, the supervisor and the 12 workers will get to sleep in for a whole hour later than usual, before they clean up the job site and begin the long drive home.

(Been there. Done that.)

Answer:

2.53

Step-by-step explanation:

Answer:

270cm^2

Step-by-step explanation:

The side length is irrelevant and does not matter.

The area of a triangle is found by multiplying the base by the height and then dividing that by two.

For this problem it would be...

30*18=540

540/2=270

So the area would be 270cm^2

Answer:

270

Step-by-step explanation:

Answer:

Small Boxes: 10

Large boxes: 12

Step-by-step explanation:

Answer:

23,41 cm (if it's a square triangle)

Step-by-step explanation:

a²+b² = c²

22²+8² = c²

√548 = √c²

23,41 = c

Answer:

g(x), f(x), h(x)

Step-by-step explanation:

The required functions sequence are -x³, -x² and -|x|.

Three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3].

Rate of change is defined as the change in value with rest to the time is called rate of change.

Question seems to be incomplete, we assumed three functions -x³, -x² and -|x|.
Now, the function has fastest decreasing average rate of change is  -x³
and the function has slowest decreasing average rate of change is  -|x| on the interval [0, 3]. While plotting on graph.

Thus, the required functions sequence are -x³, -x² and -|x|.

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Answer:

Hi there!

To find the volume of the ball, we should follow this formula: 

4/3*pi*r^3

Since the radius is 4, we can just plug the value in:

4/3*3.14*4^3

= 267.946667

Round to the nearest tenth:

= 267.9

Your answer is 267.9. 

Hope this helps!

Answer: c

Step-by-step explanation:

Answer:

We conclude that there is difference in the proportion of deaths between the 2 groups.

Step-by-step explanation:

We are given that among 2823 drivers not wearing seat belts, 31 died as a result of injuries, and among 7765 drivers wearing seat belts 16 were killed.

Let [tex]p_1[/tex] = proportion of deaths when drivers were not wearing seat belts.

[tex]p_2[/tex] = proportion of deaths when drivers were wearing seat belts.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1=p_2[/tex]      {means that there is no difference in the proportion of deaths between the 2 groups}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1\neq p_2[/tex]     {means that there is difference in the proportion of deaths between the 2 groups}

The test statistics that would be used here Two-sample z test for proportions;

                          T.S. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of deaths when drivers were not wearing seat belts = [tex]\frac{31}{2823}[/tex] = 0.011

[tex]\hat p_2[/tex] = sample proportion of deaths when drivers were wearing seat belts = [tex]\frac{16}{7765}[/tex] = 0.002

[tex]n_1[/tex] = sample of drivers not wearing seat belts = 2823

[tex]n_2[/tex] = sample of drivers wearing seat belts = 7765

So, the test statistics  =  [tex]\frac{(0.011-0.002)-(0)}{\sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} } }[/tex]

                                       =  4.438

The value of z test statistics is 4.438.

Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.

Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that there is difference in the proportion of deaths between the 2 groups.

Also, Margin of error (E) =  [tex]1.96 \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }[/tex]

                                        =  [tex]1.96 \times \sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} }[/tex]

                                        =  0.00397

Answer:

-0.06 left-middle

0.28 right-middle

0.03 right-top

0.1 middle-top

0.12 middle-bottom

Step-by-step explanation:

column-row

Answer:

s=50*2+1/2*10*2^2=100+20=120 miles

The car travels 120 miles from this point in the next 2 hours, if the acceleration is constant.

There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.

They are listed below as:

[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]

where, the symbols have following meanings:

u = initial velocity of the considered object

v = final velocity of the object

a = acceleration of the object

s = distance traveled by the object in 't' time.

Given; A car is running at a velocity of 50 miles per hour and the driver accelerates the car by 10 miles/hr2.

We are asked that how far the car travels from this point in the next 2 hours, if the acceleration is constant.

s = 50*2 + 1/2*10*2^2

s = 100+20

s = 120 miles

Therefore, the car travels 120 miles from this point in the next 2 hours, if the acceleration is constant.

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Answer:

p=5

Step-by-step explanation:

please mark brainliest

Answer:

the slope is either -2/1 or -1/2

Step-by-step explanation:

hope this helped sorry i didnt know the y intercept but i think its 0

Answer: 3/4 of the original price.

Step-by-step explanation:

Ok, so Sam buys 4 boxes in Store A.

We know that in Store A you can get 4 boxes paying only for 3.

If P is the price of a Box, then he got 4 boxes and paid 3*P

then the amount that he paid for each box is equal to the total amount that he paid divided the number of boxes that he received.

this is: 3P/4 = (3/4)*P

Meaning that he paid 3/4 of the original price for each box.

Answer:

In a typical kite as shown in picture, it is symmetric around PQ and PQ is perpendicular with RN.

=> Two right triangles PNT and PRT are congruent.

=> angle PRT = angle PNT = 34 deg

=> angle RPT = 90 - angle PRT = 90 - 34 = 56 deg

=> Option A is correct.

Hope this helps!

:)

Answer:

Your answer will be 1,000

Step-by-step explanation:

One thousand

Hope this helps : )

Answer:

1000

Step-by-step explanation:

Add 100 10 times and you will get 1000

Answer:

Null hypothesis: [tex] \mu \geq 60[/tex]

Alternative hypothesis: [tex] \mu <60[/tex]

Since the sample size is large enough we can assume that the distribution for the statistic is normal so then in order to find the critical value for this test taking in count the significance level given of 0.05 we need to look in the normal standard distribution a value who accumulates 0.05 of the area in the left and would be:

[tex] z_{crit}= -1.64[/tex]

Step-by-step explanation:

For this case we have the following data given:

[tex] \bar X = 53[/tex] represent the sample mean

[tex] s = 23[/tex] represent the sample deviation

[tex]n = 10000[/tex] represent the sample size.

We want to test for this case if the true mean is less than 60 so then the system of hypothesis are:

Null hypothesis: [tex] \mu \geq 60[/tex]

Alternative hypothesis: [tex] \mu <60[/tex]

Since the sample size is large enough we can assume that the distribution for the statistic is normal so then in order to find the critical value for this test taking in count the significance level given of 0.05 we need to look in the normal standard distribution a value who accumulates 0.05 of the area in the left and would be:

[tex] z_{crit}= -1.64[/tex]

Answer:

7/6pie. i think

Step-by-step explanation:

1/2 + 2/3 = 3/6 + 4/6 = 7/6 = 1 1/6

Answer:

1 and 1/6

Step-by-step explanation:

1/2 + 2/3 = 3/6 +4/6= 1 1/6

Answer:

1 gal 9 qt

Step-by-step explanation:

Answer:

1.75 US Gallons

Step-by-step explanation:

(3 gal 2 qt) - (1 gal 3 qt) =

1.75 US gallons

Answer:

[tex] p(O)=\frac{8}{18}=\frac{4}{9}[/tex]

And since we want the complement of choosing an orange juice box the answer would be:

[tex] P(O') =1 - P(O) = 1-\frac{4}{9}= \frac{5}{9}[/tex]

And the nest answer for this case is:

5/9

Step-by-step explanation:

For this case we know that we have 4 apple juice boxes, 8 orange juice boxes, and 6 fruit punch juice boxes, so then the size of the sample space is:

[tex] 8+4+6= 18[/tex]

Then we can find the probability of selecting an orange juice box with the definition of Laplace given by:

[tex] p =\frac{possible}{total}[/tex]

And for this case the possible cases are 4 and the total 18 so then the probability is given by:

[tex] p(O)=\frac{8}{18}=\frac{4}{9}[/tex]

And since we want the complement of choosing an orange juice box the answer would be:

[tex] P(O') =1 - P(O) = 1-\frac{4}{9}= \frac{5}{9}[/tex]

And the nest answer for this case is:

5/9

Answer:

The solution is attached here. Hope it helps ☺️

Answer:

[tex]r = 3.18cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!