I) Construct a triangle PQR such that |PQ|=8cm,{RPQ=90°{PQR=30°.Measure |RQ|​

Answer:

The number of hours Stephanie will have driven before Tina catches up to her is 2.5 hours

Step-by-step explanation:

Given:

56s=70t

s=t+1/2

Solution

56s=70t

s=t+1/2

Substitute s=t+1/2 into 56s=70t

56s=70t

56(t+1/2)=70t

56t+28=70t

28=70t - 56t

28=14t

Divide both sides by 14

28/14=14t/14

2=t

t=2

Recall,

s=t+1/2

s=2+1/2

=4+1/2

s=5/2

Or

s=2.5 hours

Answer: She had $5400

Step-by-step explanation:

We will let x represent the total amount of money in her pocket .

So we know that 1/3 of x has to equal 1800 because 2/3 of the money is already been spent so 1/3 will of the money will be left.

1/3 * x = 1800  solve for x by divide both sides by 2/3

x=5400  

Check.

1/3 * 5400 =1800

Answer:

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2

Where ( h,k) is the center and r is the radius

( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Answer:

The probability of event A happening which is P(A) = 1/2

Step-by-step explanation:

To answer this question, we will have to make use of the mathematical formula for independent events.

Firstly, what do we mean by independent events?

Independent events are events that occur freely of each other. What this means is that the occurrence or non-occurrence of one of the events does not disturb the occurrence or non-occurrence of the other event.

Given that A and B are independent events, then mathematically;

P(A ∩ B) = P(A) P(B)

Now from the question, we know that We are to find P(A), inputing the values we have;

1/6 = P(A) * 1/3

P(A) = 1/6/1/3

P(A) = 1/2

Answer:

1020

Step-by-step explanation:

well, the first three significant figures stops at the 102, so round the 1023.4567 to a whole number which just becomes 1023

then, round the answer so you only have the 102, so you would round down since 4 or less, which 3 is less than 4, you round down, and you would get 1020

that last 0 is not a significant figure because it does not have a decimal point or any other number following after it--any 0s at the end of a number are not significant if there is no decimal point or other number after them.

Answer:

He deposited 16 $5 bills.

Step-by-step explanation:

State your variables

let x be the number of $1 bills

let y be the number of $5 bills

Create a system of equations

x + 5y = 200       (eq'n 1 -- for amount of money)

x + y = 136           (eq'n 2 -- for number of bills)

Solve the system for y

I will solve using substitution.  Rearrange eq'n 2 to isolate variable x.

x + y = 136

x = 136 - y           (eq'n 3)

Substitute eq'n 3 into eq'n 1.

x + 5y = 200

136 - y + 5y = 200

136 + 4y = 200

4y = 64

y = 16

Solve for x to check answer

Substitute y = 16 into eq'n 2.

x + y = 136

x + 16 = 136

x = 120

Substitute x = 120 into eq'n 1.

x + 5y = 200

120 + 5(16) = 200

120 + 80 = 200

200 = 200

LS = RS          Both sides are equal, so the solution is correct.

Therefore, Jack deposited 16 five dollar bills.

Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.

Indeed, If you multiply 2 by 42 you'll get 4.

Of course, if a number is n× larger than another, then this other is n× smaller than the first one.

It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.

plz mark me as the Brainleist plz

Answer:

2

Step-by-step explanation:

2.5/5

Answer:

2.5 hours

Step-by-step explanation:

2.5 hours = work time

4boys+5boys working together same job.

Ans: 2.5 hours.

Answer:

a. 11/25

b. 11/25

Step-by-step explanation:

We proceed as follows;

From the question, we have the following information;

Three urns A, B and C contains ( 3 black balls 7 white balls), (7 black balls and 13 white balls) and (12 black balls and 8 white balls) respectively.

Now,

Since events of choosing urn A, B and C are denoted by Ai , i=1, 2, 3

Then , P(A1 + P(A2) +P(A3) =1 ....(1)

And P(A1):P(A2):P(A3) = 1: 2: 2 (given) ....(2)

Let P(A1) = x, then using equation (2)

P(A2) = 2x and P(A3) = 2x

(from the ratio given in the question)

Substituting these values in equation (1), we get

x+ 2x + 2x =1

Or 5x =1

Or x =1/5

So, P(A1) =x =1/5 , ....(3)

P(A2) = 2x= 2/5 and ....(4)

P(A3) = 2x= 2/5 ...(5)

Also urns A, B and C has total balls = 10, 20 , 20 respectively.

Now, if we choose one urn and then pick up 2 balls randomly then;

(a) Probability that the first ball is black

=P(A1)×P(Back ball from urn A) +P(A2)×P(Black ball from urn B) + P(A3)×P(Black ball from urn C)

= (1/5)×(3/10) + (2/5)×(7/20) + (2/5)×(12/20)

= (3/50) + (7/50) + (12/50)

=22/50

=11/25

(b) The Probability that the first ball is black given that the second ball is white is same as the probability that first ball is black (11/25). This is because the event of picking of first ball is independent of the event of picking of second ball.

Although the event picking of the second ball is dependent on the event of picking the first ball.

Hence, probability that the first ball is black given that the second ball is white is 11/25

​​

Answer:

La máquina llenó:

6 baldes

Step-by-step explanation:

Por regla de tres:

4 baldes son a 30 minutos

M baldes son a 45 minutos

M = 45*4/30

M = 180/30

M = 6

Answer:

About 4.44

Step-by-step explanation:

Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:

40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.

40-x+x= x + 2x + 3 (2x)

40 = 3x + 3 (2x)

40 = 3x + 6x

40= 9x

40/9 = 9x/9

x= 4.44

Note: 2x represents doubling up the sales amount, which was left.

3x represents tripling the sales amount left.

Answer:

Step-by-step explanation:

Given,

Area of square ground = 42025

Now, let's find the length of square ground

Area of square = [tex] = {l}^{2} [/tex]

plug the values

[tex]42025 = {l}^{2} [/tex]

Swipe the sides of the equation

[tex] {l}^{2} = 42025[/tex]

Squaring on both sides

[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]

Calculate

[tex]l = 205[/tex] meters

The length of square ground = 205 meters

Now,Let's find the perimeter of square

Perimeter of square [tex] = 4l[/tex]

plug the value of length

[tex] = 4 \times 205[/tex]

Multiply the numbers

[tex] = 820[/tex] meters

Hope I helped.

Best regards!!

Answer:

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]

Compute the  probability that exactly 2 buyers would prefer red car as follows:

[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]

                [tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

================================================

Explanation:

The information about angle 2 is unnecessary info that your teacher likely put in there as a distraction. All we need is angle 8, which is 124 degrees. Angle 7 adds to this to form a 180 degree straight angle.

(angle 7) + (angle 8) = 180

(angle 7) + 124 = 180

angle 7 = 180 - 124

angle 7 = 56 degrees

Answer:

The measure of angle 7 is 56°.

Step-by-step explanation:

here, angle 8 = 124°

now, angle 8+ angle 7=180° (as the sum of linear pair is 180°)

or, 124°+angle 7=180°

or, angle 7=180°-124°

Therefore, tge measure of angle 7 is 56°.

Hope it helps.

Answer - 1) -6/3

2)3/20

3)3/4

Hope this may helps you

Answer:

A.-2

B.its 3/20=0.15

C.3/4=0.75

Answer:

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Step-by-step explanation:

Given

[tex]y = |\frac{1}{2}x - 2| + 3[/tex]

Required

Translate the above one unit to the left

Replace y with f(x)

[tex]y = |\frac{1}{2}x - 2| + 3[/tex]

[tex]f(x) = |\frac{1}{2}x - 2| + 3[/tex]

When an absolute function is translated to the left, the resulting function is

[tex]g(x) = f(x - h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x) = f(x - (-1))[/tex]

[tex]g(x) = f(x + 1)[/tex]

Calculating [tex]f(x+1)[/tex]

[tex]f(x+1) = |\frac{1}{2}(x+1) - 2| + 3[/tex]

Open bracket

[tex]f(x+1) = |\frac{1}{2}x + \frac{1}{2} - 2| + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{1-4}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x + \frac{-3}{2} | + 3[/tex]

[tex]f(x+1) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Recall that

[tex]g(x) = f(x + 1)[/tex]

Hence;

[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]

Answer:

y=l1/2x-3/2l+3

Step-by-step explanation:

cause im him

Answer:

X=10

Step-by-step explanation:

the triangle is a right angled triangle so use pythagoras theorem a^2+b^2=c^2

x^2+(√200)^2=(√300)^2

x^2+200=300

x^2=300-200

x^2=100

x=√100=10

X=10

Answer:

Quota Sampling

Step-by-step explanation:

Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.

In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling.  These subgroups would give a proper representation of the preschool children in local daycare centers.

Answer:

  14

Step-by-step explanation:

The rectangle has side lengths of 3 and 4. There are two of each length, so the total length of all the sides is ...

  P = 2(l +w) = 2(4 +3) = 2(7)

  P = 14 . . . . units

Answer:

5.50 years

Step-by-step explanation:

A = P[tex](1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

3178 = 2000(1+.086/2)^2t

t = 5.499904413

Answer:

The completed table is

x | 0 | 6 | 12

y | 0 | 2 | 4

Step-by-step explanation:

It is given that y is (1/3) as large as x. That is,

y = (x/3)

x | 0 | 6 | 12

y | ? | ? | ?

y = (x/3)

When x = 0,

y = (0/3) = 0

when x = 6,

y = (6/3) = 2

when x = 12,

y = (12/3) = 4

The completed table is thus

x | 0 | 6 | 12

y | 0 | 2 | 4

Hope this Helps!!!

The values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.

Given,

y is 1/3 times as large as x.

So, [tex]x=3y[/tex].

We have to calculate the value of x when y is given .

1. when [tex]y=0[/tex]

Then, [tex]x=0[/tex]

2.when, [tex]y=6[/tex]

Then, [tex]x=18\\[/tex]

3. When [tex]y=12[/tex]

[tex]x=3\times 12\\x=36[/tex]

Hence, the values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.

For more details follow the link:

https://brainly.com/question/11897796

Answer: D

Step-by-step explanation: Plug in 0 for x and solve. Then plug in 4 for x and solve. Compare the results. Which function has the smallest difference in output? Which has the greatest difference in output?

Answer:

JK = 16√2

Step-by-step explanation:

This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.

Since this has a side of 16, the hypotenuse will be 16√2.

Cheers.

Answer:

18.18%

Step-by-step explanation:

Percent change formula:

(new amount - old amount)/(old amount) * 100%

new amount: 6500

old amount: 5500

percent change:

(6500 - 5500)/5500 * 100% = 18.18%

Answer:

18.18%

Step-by-step explanation:

1000/5500 x (100) =(1000/5500)(100/1) =(2/11)(100/1)=(2)(100) (11)(1)= 200/11

=18.18%

Answer:

68.26%

Step-by-step explanation:

The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:

[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]

From the normal distribution table, Area between z equal -1 and z equal 1  = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%

About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).

Answer:

C

Step-by-step explanation:

Using Parts Whole Postulate we can write:

∠LQP = ∠LQR + ∠PQR

We know that ∠LQP = 77° and ∠LQR = 35° so we can write:

77° = 35° + ∠PQR

Therefore the answer is 77 - 35 = 42°.

Answer:

one solution

Step-by-step explanation:

3x + 6 =- 1 - 3 + 4x

Subtract 3x from each side

3x-3x + 6 =- 1 - 3 + 4x -3x

6 = -4+x

Add 4 to each side

6+4 = -4+4+x

10 =x

One solution

Answer:

The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.

Step-by-step explanation:

The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.

Answer:

24+x=40

Hope this helped

Answer:

hes right look up there

Step-by-step explanation:

hes right :) only for a p e x

Answer:

The answer is

Step-by-step explanation:

Area of a rectangle = length × width

let w be the width and l be the length

Area of rectangle = 247 ft²

width is 6 feet less than its length is

w = l - 6

247 = l( 1 - 6)

l² - 6l - 247 = 0

(l + 13) (l - 19) = 0

l + 13 = 0 l - 19 = 0

l = - 13 l = 19

Since the length should be positive

The length of the rectangle is

Hope this helps you

Answer:

Length of the rectangle, L = 19 ft

Step-by-step explanation:

Area of a rectangle = Length * Width

Area of the rectangle, A = 247 ft²

Let the length of the rectangle be L

The width of the rectangle = W

Since the width of the rectangle is 6 ft less that the length;

W = L - 6

A = L * W

247 = L * (L - 6)

247 = L² - 6L

L² - 6L - 247 = 0

By solving the quadratic equation above:

(L - 19)(L + 13) = 0

L - 19 = 0, L = 19

L + 13 = 0; L = -13

Since the length of a rectangle cannot be negative, L = 19 ft

Answer:

8.1

Step-by-step explanation: