Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.

Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then

lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.

Answers

Answer 1

Answer:

lines a and b must be parallel

Step-by-step explanation:

if lines a and b are parallel in plane r and q, then the lines must always be parallel.

Answer 2

Answer:

A

Step-by-step explanation:

on e2020


Related Questions

Help with the equation of a line ​

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

y = mx + c

gradient = -3 = m

y-intercept = 5 = c

Two groups of volunteers are cleaning up the football stadium after the Homecoming game. Volunteers from the Band Booster Club have already cleaned 2 rows of bleachers and will continue to clean at a rate of 7 rows per minute. The leadership class has completed 11 rows and will continue working at 4 rows per minute. Once the two groups get to the point where they have cleaned the same number of rows, they will take a break and decide how to split up the remaining work. How long will that take? How many minutes will each group have cleaned by then?


PLS HELP

Answers

Answer:

each group would have cleaned for 3mins

it's would take 3mins before they both take a break

Step-by-step explanation:

band booster club

2 already done

7rows/min

leadership class

11 rows already done

4rows/min

11-2

=9

at 0min leadership class is ahead by 9

min=x

2+7x=11+4x

7x-4x=11-2

3x=9

x=3

after 3mins the leadership class and the club will have both done 23 rows

brailiest please

Due to an economic downturn, a company had to decrease its staff from 364 employees to 91 employees. What was the percentage decrease in staff?​

Answers

Answer:

25%

Step-by-step explanation:

First, divide 91 by 364

91/364 = 0.25

Multiply this answer by 100

0.25 × 100 = 25%

This gives you what percent of 364 that 91 is

So it is a 25% decrease

Rounding please help! Math

Answers

it is just still 5 I believe :P hope this helps

The top-grossing movies last year were Movie A with $700 million, Movie B with $680 million, Movie C with $610

million, and Movie D with $420 million. Suppose we randomly selected 2 of the movies. Fill in all of the means that

are not already provided in the table?

Answers

The maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively

How to determine the maximum and the least amounts?

The grossing amounts are given as:

Movie A = $700 millionMovie B = $680 millionMovie C = $610 millionMovie D = $420 million

The selection of two movies could be any of the following selections

Selection = AB, AC, AD, BC, BD, and CD

The gross of each selection is:

AB = $700 million + $680 million = $1.38 billion

AC = $700 million + $610 million = $1.31 billion

AB = $700 million + $420 million = $1.12 billion

BC = $680 million + $610 million = $1.29 billion

BD = $680 million + $420 million = $1.10 billion

CD = $610 million + $420 million = $1.03 billion

In the above computation, the maximum and the least gross amounts are:

AB = $1.38 billion

CD = $1.03 billion

Hence, the maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively

Read more about combination at:

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Answer:

mean of A, C = 655

mean of B, C = 645

mean of C, D = 515

Step-by-step explanation:

you just take whatever the 2 numbers are (for A, B, C, D) and find the mean between them both,, also correct on edge

What is the area of rectangle PQRS? ​

Answers

The area of a rectangle is l*w. We have the length as 4.5 in and we can find the width by doing 3+2+4.5 = 9.5 in.

Then, we multiply them. 4.5*9.5 = 42.75 inches²

Which number is written in scientific notation? 4. 5 times 10 Superscript negative 3 14. 5 times 10 Superscript 2 0. 78 times 10 Superscript negative 6 5. 7 times 4 Superscript 8.

Answers

The number [tex]4.5*10^{-3}[/tex] is written in scientific notation whereas the rest of the numbers are not written in scientific notation.

Given numbers are:

1)[tex]4.5*10^{-3}[/tex]

2)[tex]14.5*10^{2}[/tex]

3)[tex]0.78*10^{-6}[/tex]

4)[tex]5.7*4^8[/tex]

What is the scientific notation of numbers?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

In the first number [tex]1 < 4.5 < 10[/tex] multiplied by [tex]10^{-3}[/tex]

As per the definition [tex]4.5*10^{-3}[/tex] is written in scientific notation.

The Rest of the numbers do not follow the definition of scientific notation so they are not in scientific notation.

Hence, the number [tex]4.5*10^{-3}[/tex] is written in scientific notation whereas the rest of the numbers are not written in scientific notation.

To get more about scientific notations visit:

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if the length of a square is decreased by 1 unit , the area will be 8 square units.Write an equation for the area of the square

Answers

Answer:

(x-1)²=8.

Step-by-step explanation:

1) if the length before decreasing is 'x', then after decreasing it is x-1;

2) then the area is (x-1)²=8.

PS. the length before decreasing is 1+2√2.

A bag contains 9 tiles, each with a different number from 1 to 9. You choose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. In how many different ways can you choose three tiles

Answers

Using the combination formula, it is found that there are 84 ways to choose the three tiles.

The order in which the tiles are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, three tiles are chosen from a set of nine, hence:

[tex]C_{9,3} = \frac{9!}{3!6!} = 84[/tex]

There are 84 ways to choose the three tiles.

More can be learned about the combination formula at https://brainly.com/question/25821700

15 POINTS
Identify the center and radius of a circle with equation (x-4)^2 + (Y+2)^2 =9

A.) Center at (4,2); radius: 9
B.) Center at (-4,2); radius: 9
C.) Center at (4,-2); radius: 3
D.) Center at (-4, 2); radius: 3

Answers

The basic formula for a circle is (x - h)^2 + (y - k)^2 = r^2, where the center is (h, k) and the radius is found by taking the square root.

h = 4

k = -2

Center: (4, -2)

square root of 9 = 3

Radius: 3

Correct Answer: C

Hope this helps!

Center (6 , -5) and radius = 3

What is the length of LM?

Answers

Answer:

Step-by-step explanation:

The length of LM is 24√(3)

the short leg is 24

the hypotenuse is 24*2 = 48

The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is _____ × 10–8

Answers

Can you add the picture ?? If you don’t mind?? It helps me Answer better

The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.

What is the probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

The sample-set S consists of all combinations of 6 distinct elements of the set of 50 elements, and;

[tex]\rm |S| =C(50, 6)=\dfrac{50!}{44!6!}[/tex]

The winning event E ⊆ S is just one winning combination, so that

|E| = 1.

Therefore, the probability of winning a lottery is;

[tex]\rm P(E)=\dfrac{|E|}{|S|}\\\\ P(E)=\dfrac{1}{\dfrac{50!}{44!6!}}\\\\\\ P(E)=\dfrac{44!6!}{50!}\\\\ P(E)= 6 \times 10 {-8}[/tex]

Hence, The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.

Learn more about probability here;

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help ASAP!!! answer e f g h question

Answers

Step-by-step explanation:

answer......

...........

Evaluate the expression 3^-2

Answers

Answer:

-9 is the answer for 3^-2

A box of tissues is shaped like a rectangular prism and has a volume of 288 cubic inches. The box has a height of 4 inches and a length of 12 inches.

What is the width of the tissue box?

Answers

Answer:

6 in

Step-by-step explanation:

4×12×w=288

48×w=288

/48. /48

w=6

I NEED THIS ASAP PLEASE

Answers

Answer:

21

Step-by-step explanation:

ASAP Please i need this done in the next 20 minutes

cos^2B-sin^2B=3cosB+1

Answers

the answer is "Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified"

I bought a keychain for $6.75 and a T-shirt that cost X dollars each altogether the items cost $31.50 complete the type diagram

Answers

Answer:

24.75

Step-by-step explanation:

keychain=$6.75

t.shirt=X

according to question

X+6.75=31.50

X=24.75

Help pleaseee i am awful at math

Answers

Step-by-step explanation:

answer is B

use unitary method to solve it

The correct answer is B

Smitville is located between Jonesville and Cityville. Smitville is five times as far away from Cityville as it is from Jonesville. If the distance between Jonesville and Cityville is 288 km, how far is it from Jonesville to Smitville?

Answers

<-------------------288km---------->

x=48 km 5x=240km

⊙__________⊙___________⊙

jonesville smitville cityville

6x=288

x=48

=48km

A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150. 00 with a standard deviation of $30. 20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2. 5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test? The customers spend more than the national average in his store. The manager should decrease prices in his store. The customers do not spend more than the national average in his store. The customers in his store just come from a rich neighborhood.

Answers

The valid conclusions for the manager based on the considered test is given by: Option

When do we perform one sample z-test?

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

Population mean = [tex]\mu[/tex] = $150Population standard deviation = [tex]\sigma[/tex] = $30.20Sample mean = [tex]\overline{x}[/tex] = $160Sample size = n = 40 > 30Level of significance = [tex]\alpha[/tex] = 2.5% = 0.025We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: [tex]H_0: \mu_0 \leq \mu = 150[/tex]Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically [tex]H_1: \mu_0 > \mu = 150[/tex]

where [tex]\mu_0[/tex] is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

[tex]z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094[/tex]

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

https://brainly.com/question/21477856

Answer:

A

Step-by-step explanation:

Which of the following is not an exponential function?

Answers

the answer would be B! there are no exponents in that answer choice!

Heather has a rectangular yard. She measures it and finds out it is 24 1/2 feet long by 12 4/5 feet wide. She wants to know how many square feet of sod she will need to completely cover the yard. a. Draw the yard, and label the measurements. b. How much sod will Heather need to cover the yard? Show your work and/ or explain your reasoning.

Answers

Answer:

313.6 sqft.

Step-by-step explanation

Decimal

First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.

Fraction

First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.

pls help me pls I have to turn in tonight and if u answer this can you draw and send it pls​

Answers

Answer:

see attached

Step-by-step explanation:

(i) F' shown in red = Rotation 180° about point (2, 1)

(ii) F'' show in blue = Reflection of F' in x-axis

What shapes have only one pair of parallel sides?

Answers

Answer:

A TRAPEZOID!!

Step-by-step explanation:

Answer:

Trapezoids have only one pair of parallel sides

PLEASE HELP AND ANSWER CORRECTLY

I know the axis of symmetry but I don't know how to put it in an equation

please review the graph and answer you may use the other answers to help

Answers

Answer:

standard form:   y = x² - 2x - 8

vertex form:  y = (x − 1)² - 9

factorized form:  y = (x + 2)(x - 4)

Step-by-step explanation:

From inspection of the graph:

Axis of symmetry:  x = 1Vertex = (1, -9)x-intercepts = (-2, 0) and (4, 0)y-intercept = (0, -8)

Standard quadratic form:   y = ax² + b x + c

Vertex form of a quadratic equation:   y = a(x − h)² + k

If a > 0 then the parabola opens upwards

If a < 0 then the parabola opens downwards

(h, k) is the vertex

c is the y-intercept

Inputting the vertex into the vertex form gives:

y = a(x − 1)² - 9

  = a(x² - 2x + 1) - 9

  = ax² - 2ax - 8

Using the x-intercepts to create a quadratic equation:

y = a(x + 2)(x - 4)

  = a(x² - 2x - 8)

  = ax² - 2ax - 8a

Comparing the y-intercepts:

-8 = -8a  ⇒  a = 1

Therefore,   y = x² - 2x - 8

PLS HELP ILL GIVE EXTRA POINTS NEED ASAP

Answers

The answer is 6 , due to the fact the 9-3 =6

Answer:

5

Step-by-step explanation:

Median from 24 to 28

24 + 28 / 252 / 226

Median from 28 to 34

28 + 34 / 262 /231

Interquartile range

M2 - M131 - 265

How do you find perimeter?

Answers

Finding perimeter is simple. All you do is add up all of the side lengths, and bada bing bada boom, you got the perimeter.

Pls help giving brinerlist

Answers

The answer is A

difference means to subtract

while product means to multiply!

(i hope this helps!)

Find the 11th term of the following geometric sequence 2,6,18,54,…

Answers

Answer:

118,098

Step-by-step explanation:

Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.

so 54*3 = 162 and keep multiplying your answer by three until you have 11 times

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