Thare are 2 yellow 3 pink and 5 blue. What is the possibility of drawing two pink marbles if the first one is placed back in the bag before the second draw?​

Answer:

Percentage

Step-by-step explanation:

Answer:

D. 264π units³

Step-by-step explanation:

1/3(πr²h)

1/3(π•6²•22)

1/3(π•36•22)

1/3(π•792)

264π

Answer:

Replace the variable x with −1

in the expression.

f(−1)=−(−1)²−1

Simplify −(−1)²−1.

Remove parentheses.

−(−1)²−1

Multiply −1 by (−1)²

by adding the exponents.

(−1)³−1

Raise −1 to the power of 3.

−1−1

Subtract 1 from −1.

−2

Step-by-step explanation:

Hope it's right

Answer:

a. When the sample standard deviation is used to estimate the population standard deviation

Step-by-step explanation:

T or Z distribution:

If we have the standard deviation for the sample, we use the t-distribution.

If we have the standard deviation for the population, we use the z-distribution.

Thus, the correct answer for this question is given by option a.

Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that [tex]\mu = 78, \sigma = 6[/tex]

Samples of n:

This means that the standard deviation is:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Answer:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

Step-by-step explanation:

Given

See comment for complete part of the question

Required

Make a stem and leaf plot

We have:

[tex]58, 52, 68, 86, 72, 66, 97, 89, 84, 91[/tex]

[tex]91, 92, 66, 68, 87, 86, 73, 61, 70, 75, 72, 73[/tex]

[tex]85, 84, 90, 57, 77, 76, 84, 93, 58, 47[/tex]

Categorize the dataset according to tens

[tex]47[/tex]

[tex]52, 57, 58, 58[/tex]

[tex]61, 66, 66, 68, 68[/tex]

[tex]70, 72, 72, 73, 73, 75, 76, 77[/tex]

[tex]84, 84, 84, 85, 86, 86, 87, 89[/tex]

[tex]90, 91, 91, 92, 93, 97[/tex]

So, the stem and leaf plot is:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

Answer:

10.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=150×81/100

X=12,150/100

X=121.5.

Answer:

The answer for this question is 240 yd

Answer:

14 questions correct

Step-by-step explanation:

x/20 *100 = 70

so x/ 20 = 70/100(0.7)

x/20 = 0.7

x = 0.7*20

x =14

Answer:

9.42m

Step-by-step explanation:

I took this on a test. Was extremely difficult, but I remembered the answer after my 4th retake

Answer:

y = 5x + 7

Step-by-step explanation:

(-2, -3) & (-1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - (-3)) / (-1 - (-2))

Simplify the parentheses.

= (2 + 3) / (-1 + 2)

= (5) / (1)

Simplify the fraction.

5/1

= 5

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 5x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 5(-1) + b

To find b, multiply the slope and the input of x(-1)

2 = -5 + b

Now, add 5 to both sides to isolate b.

7 = b

Plug this into your standard equation.

y = 5x + 7

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -3).

y = 5x + 7

-3 = 5(-2) + 7

-3 = -10 + 7

-3 = -3

Your equation is correct.

Hope this helps!

Answer:

geometry

Step-by-step explanation:

left side of paper

Answer:

D. divide by 12​

Step-by-step explanation:

→ When you :

- Multiply, the inverse is divide

- Divide, the inverse is multiply

- Add, the inverse is minus

- Minus, the inverse is add

Answer:

[tex]C=252.2ft[/tex]

Step-by-step explanation:

From the question we are told that:

First Kite Distance [tex]A=450ft[/tex]

Second Kite Distance [tex]B=390ft[/tex]

Angle [tex]\theta=34\textdegree[/tex]

Generally the equation for Distance X between the kites is mathematically given by

Using Cosine Rule

 [tex]C^2=A^2+B^2-2abCos \theta[/tex]

Therefore

 [tex]C^2=(450)^2+(390)^2-2(450)(390)Cos 34[/tex]

 [tex]C^2=63607.81[/tex]

 [tex]C=\sqrt(63607.81)[/tex]

 [tex]C=252.2ft[/tex]

Answer:

the answer for that question is sqrt(49)

Answer:

angle y = 49°

Step-by-step explanation:

If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.

Answer:

34

Step-by-step explanation:

Hypotenuse is the longest side

I hope this helped have a great day

Answer:

30 and 50

Step-by-step explanation:

its simple if you cant figure it out then drop out

Answer:

Step-by-step explanation:

4x-5+3x+5+40=180 degree(sum of interior angles of a triangle)

7x+40=180

7x=180-40

x=140/7

x=20

Answer:

here summation x = sum of all number

Answer:

A= πr^2

45=πr^2

45/1 =22/7×r^2

45/1=22r^2/7 cross multiply

22r^2 ×1=45×7

22r^2=315 divide both sides by 22

22r^2/22=315/22

r^2=14.318

Answer:

Step-by-step explanation:

Always work from the inside out. That means we will deal with the parenthesis first: (4 - 1)

That gives us

2[32 - (3)³]. Next deal with the exponents. That gives us

2[32 - 27]. Next, the last set of parenthesis, which are actually brackets:

2[5] which then, finally, becomes 10

Order of operations...PEMDAS

A because they are preserving? I guess that's the best way for me

Answer:

i know there's a lot of explanation. but it helps u for sure :)

Step-by-step explanation:

1)

[tex]-7 \ and \ \frac{1}{3} = \frac{-7}{1} \ and \ \frac{1}{3}\\\\LCM \ of \ 1 \ and\ 3 = 3\\\\\frac{-21}{3} \ and \ \frac{1}{3}\\\\To \ find \ rational \ numbers \ between \ \frac{-21}{3} \ and \ \frac{1}{3} \ write \ any \ number \ between \ -21 \ and \ 1 \ with \ denominator \ 3. \\\\That \ is, \ \frac{-20}{3}, \frac{-19}{3}, \frac{-18}{3}.....[/tex]

2)

[tex]\frac{5}{9} \ and \ \frac{2}{3}\\\\Similarly \ take \ LCM \ of \ 9 \ and \ 3 = 9\\\\Since \ it \ is \ still \ complicated \ to \ find \ rational \ number \ between \ \frac{5}{9} \ and \ \frac{6}{9},[/tex]

[tex]because \ there \ exists \ no\ natural \ number \ between \ 5 \ and \ 6.[/tex]

[tex]We \ will \ multiply \ numerator \ and \ denominator\ by\ 10. \\\\Therefore\ \frac{5}{9} \ and \ \frac{6}{9} \ becomes \ \frac{50}{90} \ and \ \frac{60}{90}.[/tex]

[tex]Keeping \ denominator \ 90 \ write \ numbers \ from \ 50 \ to \ 60 \ in \ the\ numerator.\\\\That \ is , \frac{51}{90}, \frac{52}{90}, \frac{53}{90}, \frac{54}{90}, .\ .\ .[/tex]

3)

[tex]LCM \ of \ 5 \ and \ 7 = 35\\\\\frac{-2}{5} \ and \ \frac{-3}{7}\ becomes \ \frac{-14}{35} \ and \ \frac{-15}{35}\\\\Now \ multiply \ denominator \ and \ numerator \ by \ 10\\\\\frac{-140}{350} \ and \ \frac{-150}{350}.\\\\Rational \ numbers \ are \frac{-141}{350}, \frac{-142}{350}, \frac{-143}{350}, . \ . \ . \[/tex]

Tip :

1. Make the denominator same.

2. Multiply numerator and denominator by 10 , 100 or 1000

3. Just write the natural numbers between the 2 numerators keeping denominator same.

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

Answer:

DIBF

Step-by-step explanation:

I'm pretty sure it's that

Answer:

26

Step-by-step explanation:

Answer:

7.5 hours

Step-by-step explanation:

The key here is to find out how much can be done in the same amount ot time

the least common multiple of 5 hrs and 3 hrs is 15hrs

In 15 hours:

- At 5 hours per lawn Norton could mow 15/5 = 3 lawns

- At 3 hours per lawn together thay could mow 15/3 = 5 lawns

In 15 hours Jesse would mow 5 - 3 = 2 lawns

15 hours/ 2 lawns = 7.5 hours per lawn

7.5 hours

--------------------

Here's the math

1 lawn/5hrs + x = 1 lawn / 3hrs

1/5 + x = 1/3

Subtract 1/5 from both sides

x = 1/3 - 1/5

x = 5/15 - 3/15

x = 2/15

x = 2lawns/15 hrs

15hrs/2lawns = 7.5 hrs per lawn

7.5 hours