determine the sample space of all the possible outcomes of choosing a card number 1 2 3 or 4 and a blue green or yellow marble how many outcomes involves choosing a Blue Marble

The length, width and area of the smaller rectangle are 18 cm, 14 cm and 252 cm² respectively.

A rectangle is a polygon in two dimension with four sides with opposide sides are equal and all the angles are right angles.

Given smaller rectangle is 1/2 scale drawing of the original figure. So the dimensions of the smaller rectangle will be half of the dimensions of the bigger rectangle.

For bigger rectangle,

Length = 36 cm

Width = 28 cm

Area = 1,008 cm²

So for smaller rectangle,

Length = 36/2 = 18 cm

Width = 28/2 = 14 cm

Area = 18 × 14 = 252 cm²

Hence the length, width and area of the smaller rectangle are 18 cm, 14 cm and 252 cm².

To learn more about Rectangles, click :

https://brainly.com/question/29123947

#SPJ1

Answer:

-32

Step-by-step explanation:

Because if you multiply

4 x-2=-8

-8 x -2=16

16 x -2 =-32

-32 x -2=64

9/200

Step-by-step explanation:

I hope this helps :), have a nice day!

Answer:

8x³ + 12x² - 16x - 16

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define expression

(4x² - 2x - 4)(2x + 4)

Step 2: Simplify

Answer:

blue and red

Step-by-step explanation:

hope it helped

Answer:

angle 3x = 78°

angle opposite (4x + 30) = 226°

Step-by-step explanation:

It has 6 sides, so:

total interior angles sum = (180° x 6) - 360° = 720°

720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°

combine like terms:

720° = 3x + 416° + (360° - 4x - 30°)

720° = -x + 746°

x = 26°

Answer:

490000

Step-by-step explanation:

Substituting \(x=40\),

\(I=-425(40)^2 + 45500(40) - 650000=490000\)

Answer:

option 1 is correct. that is the answer

Answer:

12 21/50 (12.42) cars

Step-by-step explanation:

20+67= 87

87÷7=12.42

The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.

To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:

8 ≤ 1.03x - 32.4 ≤ 12

Let's solve it step by step:

Add 32.4 to all parts of the compound inequality:

8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4

40.4 ≤ 1.03x ≤ 44.4

Divide all parts of the compound inequality by 1.03 (the coefficient of x):

40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03

39.32 ≤ x ≤ 43.01

Therefore, the range for the skull size of cats can be represented by the compound inequality:

39.32 ≤ x ≤ 43.01

Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:

39.32 ≤ x ≤ 43.01

Learn more about compound inequality click;

https://brainly.com/question/20296065

#SPJ1

\( {x}^{2} + 5x + 6 = 0 \\ \\ {x}^{2} + 2x + 3x + 6 = 0 \\ \\ x(x + 2) + 3(x + 2) = 0 \\ \\ (x + 2)(x + 3) = 0 \\ \\ x + 2 = 0 \\ \\ x = - 2 \\ \\ x + 3 = 0 \\ \\ x = - 3.\)

The value of x = -2 and -3 .

Answer:

hope it helps...

it has both co ordinate and factorization

Answer:

The mode is the value that appears most frequently in a data set

Step-by-step explanation:

so it will be 0 and 5

Answer:

0 and 5

explanation:

1598 cm square is the area of the container.

According to the statement

we have given that the container is rectangular prism

And Length of rectangular prism is 34cm

Width of rectangular prism is 17 cm

Height of rectangular prism is 20 cm

we use the below written formula to find the surface area

Surface area formula A=(wl+hl+hw)

To find the surface area of the container.

Substitute the values of Length, width and height in the formula then

A=(wl+hl+hw)

A=((17)(34)+(20)(34)+(20)(17))

After solving the values

A=(578+680+340)

A= 1598

So, 1598 cm square is the area of the container.

Learn more about AREA here https://brainly.com/question/6613758

#SPJ1

Answer:

46 and -19

Step-by-step explanation:

That's the answer

The values of independent random variables (a)E(Y), (b)V(Y), (c) E(2Y), and (d) V(2Y) using covariance are 36, 1296, 72, and 5184 respectively.

We can use the following properties of expected value and variance:

E(aX) = aE(X) for any constant a

V(aX) = a² V(X) for any constant a

E(X + Y) = E(X) + E(Y) for any random variables X and Y (assuming they have finite expected values)

V(X + Y) = V(X) + V(Y) + 2Cov(X, Y), where Cov(X, Y) is the covariance between X and Y.

(a) E(Y) = E(6X1 - 6X2) = 6E(X1) - 6E(X2) (by linearity of expectation)

= 6(9) - 6(3) = 36

Therefore, E(Y) = 36.

(b) V(Y) = V(6X1 - 6X2) = 36V(X1) + 36V(X2) - 72Cov(X1,X2) (by the variance formula)

To find the covariance between X1 and X2, we note that they are independent, so Cov(X1, X2) = 0.

Substituting the values of the variances, we get:

V(Y) = 36(6²) + 36(4²) - 72(0) = 1296

Therefore, V(Y) = 1296.

(c) E(2Y) = 2E(Y) (by linearity of expectation)

= 2(36) = 72

Therefore, E(2Y) = 72.

(d) V(2Y) = 4V(Y) (by the variance formula)

= 4(1296) = 5184

Therefore, V(2Y) = 5184.

Learn more about the covariance at

https://brainly.com/question/14300312

#SPJ4

Answer: x = -3/2 , x = -1 1/2 , x = -1.5

Step-by-step explanation:

6/-4.5 = 8/4x

first determine the defined range --> x ≠ 0

cancel out the common factor 4 --> 6/-4.5 = 2/x

the convert the decimal into a fraction --> 6/-9/2 = 2/x

now use -a/b = a/-b = -a/b to rewrite the fraction --> 6/-9/2 = 2/x

then simplify the complex fraction --> -4/3 = 2/x

simplify the equation using cross-multiplication --> -4x=6

divide both side of the equation by -4 --> x = -3/2 , x ≠ 0

lastly, check if the solution is in the defined range --> x = -3/2

solution : x = -3/2

Alternative form: x = -1 1/2 , x = -1.5 (simplified)

Answer:

B

Step-by-step explanation:

∠ U = ∠ F = 76° thus are congruent

Consider the ratios of corresponding sides

\(\frac{UW}{FH}\) = \(\frac{9}{21}\) = \(\frac{3}{7}\)

\(\frac{UV}{FG}\) = \(\frac{18}{42}\) = \(\frac{3}{7}\)

Thus Δ UVW ~ Δ FGH by the SAS postulate

Yes the given two triangles are similar.

The similarity statement is B) ΔUVW ∼ ΔFGH

The triangles that have similar shape but the sizes of the triangles may be different, are called similar triangles.

Here, in the given triangles,

∠U = ∠F = 76°

Therefore they are congruent.

The ratio of corresponding sides, \(\frac{UW}{FH} =\frac{9}{21} = \frac{3}{7}\)

Again the ratio of corresponding sides, \(\frac{UV}{FG}=\frac{18}{42}=\frac{3}{7}\)

Thus, ΔUVW ∼ ΔFGH by SAS rule of similarity.

Learn more about Similarity of triangle here :

https://brainly.com/question/14285697

#SPJ2

Answer:

hmm mybe 28k

Step-by-step explanation:

_________________

1. Line up the numbers to multiply.

     2 4

x    8 3

-----------

2. First, start with multiplying 3 by 4, which is 12. So, you would write it as shown.

     1

     2 4

x    8 3

-----------

       2

3. Then, multiply 3 by 2, which is 6. Remember to add 1, which is 7.

     1

     2 4

x    8 3

-----------

     7 2

4. Now, multiply 8 by 4, which is 32. You would write it as follows.

     3

     1

     2 4

x    8 3

-----------

     7 2

     2

5. Next, add 3 and 2, which is 5. Then multiply 5 by 8, which is 19.

  1   3

      1

      2 4

x     8 3

-----------

     7 2

 9  2

6. Then, drop down the 1 to the left of 9, and fill in the empty spaces with 0. Add the two and you have your final answer.

  1   3

      1

      2 4

x     8 3

-----------

  0 0 7 2

+  1 9 2 0

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

   1 9 9 2 ← Final Solution

___________________________________________

Hope this helps!

Let 'c' be the number of cones that the coach can buy. Since each ice cream cone costs $2.80, then we have the following expression:

Now, the coach has $42, then we can write the following equation:

To solve for 'c', we just have to move the coefficient 2.8 to the right side doing its opposite operation: division:

therefore, the coach can buy 15 ice cream cones with $42

Answer:

1) a

6x - 28 》 14

<=> 6x 》 42

<=> x 》 7

2) c

x/9 + 2 < 5

<=> x/9 < 3

<=> x < 27

Step-by-step explanation:

....... .........

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

For more questions on: probability

https://brainly.com/question/23417919

#SPJ8                  

The inequality for which 3, -4, 0, and 2,300 are solutions, is n ≥ -4.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

We have numbers:

3, -4, 0, 2, and 300.

All the numbers are greater than or equals to -4.

So, the inequality is,

n ≥ -4.

And the solutions are  3, -4, 0, 2, and 300.

Hence, n ≥ -4.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ1

Answer:

a. 12

b. 1080

c. 0.2

d. not enough info

e. 3

Step-by-step explanation:

a. Double each number

b. triple each number

c. divide each number by ten

d. not applicable, you need atleast three numbers for a sequence

e. half each number

Brainliest?

Answer:

a. 1.5, 3, 6, 12, 24, 48 (double each number)

b. 40, 120, 360, 1080, 3240 (triple each number)

c. 200, 20, 2, 0.2, 0.02, 0.002 (divide each number by 10)

d.

e. 24, 12, 6, 3, 1 (divide each number by 2)

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

For more questions on bags

https://brainly.com/question/31835238

#SPJ8

Answer:

11

Step-by-step explanation:

add up all of the X symbols to get 11. Hope i helped!

Answer:The answer is 11.

The guy above me is correct.

Step-by-step explanation: