Which of these symbols stands for less than or equal to?​

Given:

Total number of marbles = 26

Number of blue marbles = 13

Number of red marbles = 10

Number of yellow marbles = 3

To find:

The probability of getting a blue marble then a red marble (without replacement).

Solution:

Total number of marbles = 26

Number of blue marbles = 13

Probability of getting a blue marble is first draw is:

[tex]P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}[/tex]

[tex]P(Blue)=\dfrac{13}{26}[/tex]

[tex]P(Blue)=\dfrac{1}{2}[/tex]

After drawing 1 marble, the remaining number of marbles in the bag is 25.

Probability of getting a red marble is second draw is:

[tex]P(Red)=\dfrac{\text{Number of red marbles}}{\text{Remaining number of marbles}}[/tex]

[tex]P(Red)=\dfrac{10}{25}[/tex]

[tex]P(Red)=\dfrac{2}{5}[/tex]

Now the probability of getting a blue marble then a red marble (without replacement) is:

[tex]P(\text{Blue then red})=P(Blue)\times P(Red)[/tex]

[tex]P(\text{Blue then red})=\dfrac{1}{2}\times \dfrac{2}{5}[/tex]

[tex]P(\text{Blue then red})=\dfrac{1}{5}[/tex]

Therefore, the probability of getting a blue marble then a red marble (without replacement) is [tex]\dfrac{1}{5}[/tex].

Answer:

[tex]Area = 93.21in^2[/tex]

Step-by-step explanation:

Given

[tex]\theta \to[/tex] vertex angle

[tex]\alpha \to[/tex] base angle

[tex]\theta = 3\alpha[/tex]

[tex]l = 14in[/tex] -- congruent sides

Required

The area of the triangle

First, calculate the angles

[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle

Substitute [tex]\theta = 3\alpha[/tex]

[tex]3\alpha + \alpha + \alpha = 180^o[/tex]

[tex]5\alpha = 180^o[/tex]

Divide both sides by 5

[tex]\alpha = 36^o[/tex]

Recall that: [tex]\theta = 3\alpha[/tex]

[tex]\theta = 3 * 36^o[/tex]

[tex]\theta = 108^o[/tex]

The area is then calculated as:

[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]

[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]

[tex]Area = \frac{1}{2}*196 *0.9511[/tex]

[tex]Area = 93.21in^2[/tex]

Answer:

20 cups of applesauce

Step-by-step explanation:

8 ounces = 0.5 pounds

Pounds of apples : cups of applesauce

0.5 pounds : 1 cup = 10 pounds : x cups

0.5/1 = 10/x

0.5*x = 1*10

0.5x = 10

x = 10/0.5

x = 20 cups of applesauce

10 pounds of apples will make 20 cups of applesauce

Answer:

32x²+256x+512

Step-by-step explanation:

f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512

Answer:

Here is ur answer :

1. Probability of composing music for a movie is 1

2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .

3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .

4. Sorry i don't know

Hope the others will help you !!

Answer:

answer 1/2

Step-by-step explanation:

y-3=-2(x-4)

y-3=-2x+8

y=-2x+11

y=mx+c

m= slope which is -2

because it perpendicular It became 1/2

Answer:

D

Step-by-step explanation:

15^2 = 9^2 + x^2

x^2 = 15^2 -9^2

x^2 = 225-81

x^2 = 144

x = 12

Answer:

8×ED=3×15

ED=45/8

the radius is the half of the diameter

so its 45/16

Answer:

[tex] \frac{ae}{be} = \frac{ce}{de} = \frac{bc - be}{ad - ae} \\ \\ = > \frac{8}{3} = \frac{15 - 3}{ad - 8} \\ \\ < = > \frac{8}{3} = \frac{12}{ad - 8} \\ \\ = > ad - 8 = \frac{12 \times 3}{8} = 4.5 \\ \\ < = > ad = 4.5 + 8 = 12.5 \\ \\ = > r = 12.5 \div 2 = 6.25[/tex]

Answer:

352.

Step-by-step explanation:

The product will have 45 digits, the fisrt and last digit will be 4 and the middle 43 will be 8.

So the sum = 2*4 + 43*8

= 352.

Answer:

I need this tooo, did u find it??

Step-by-step explanation:

The right box plot that summarizes the data should look like the one constructed below in the diagram attached.

We are given the data set 25, 28, 29, 29, 30, 34, 35, 35, 37, and 38, which are already in order and we need to derive the min, max, median, Q1, and Q3 from the given data set. We need all of these values to construct a box plot to summarize the data.

Now, we will find the minimum value which is 25. The maximum value in the data set is 38. The median is the middle value of the data set and it will lie between the 5th and the 6th data points. The average of both values would give us our median data point = (30 + 34) ÷ 2 = 32

Our Q1 would be the middle data point of the bottom half of the data set which is 29. Q3 would be the middle data point of the top half of the data set = 35. As we have derived these values, we can now construct a box plot to summarize the given data.

Therefore, the right box plot that summarizes the data should look like the one constructed below in the diagram attached.

To learn more about box plots;

https://brainly.com/question/14277132

#SPJ1

Answer: √ 4A /π or  13.996450848446

Step-by-step explanation:

D = 2R

C = 2πR

A = πR2

where:

R: Radius

D: Diameter

C: Circumference

A: Area

π: 3.14159

Answer:

[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Derivative of a constant is a 0

Basic Power Rule:

Derivative Rule [Quotient Rule]:                                                                               [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]

[tex]\displaystyle x = -3[/tex]

Step 2: Differentiate

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

52ft

Step-by-step explanation:

We need to simpify the given expression. The given expression to us is ,

Given Expression :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta }[/tex]

Using Identity :-

[tex]\sf\implies \red{ sin^2\theta + cos^2\theta = 1}[/tex]

So that :-

[tex]\sf\implies - sin^2\theta = cos^2\theta -1[/tex]

We have :-

[tex]\sf\implies \dfrac{ cos^2\theta -1}{4 \ sin^2\theta } \\\\\sf\implies\dfrac{ - sin^2\theta}{4sin^2\theta}=\boxed{\sf -\dfrac{1}{4}} [/tex]

Hence the required answer is -1/4.

Answer:

B

Step-by-step explanation:

Answer:

x = 51.5

Step-by-step explanation:

Answer:

y = -27.6

Step-by-step explanation:

To solve for y, you need to isolate the variable on one side of the equation. [tex]5(y+25)=-13[/tex] ⇒ [tex]y + 25 = -2.6[/tex] ⇒ [tex]y = -27.6[/tex].

Answer:

-27.6

Step-by-step explanation:

[tex]5(y + 25) = -13[/tex]

First, distribute the problem.

[tex]5y + 125 = -13[/tex]

Secondly, subtract 125 from -13 and 125.

[tex]125 - 125 = 0[/tex]

[tex]-13 - 125 = -138[/tex]

Now, we are left with 5y = -138.

Lastly, we divide -138 by 5.

[tex]-138 / 5 = -27.6[/tex]

Therefore, y is -27.6.

Here's an attachment to make this explanation clearer.

Answer:

64

Step-by-step explanation:

..........

.........

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

Answer:

50.27

Step-by-step explanation:

remember that the circumference of a circle is 2πr

so 3.15x8 and then multiply by two

Answer:

200.96 ft²

Step-by-step explanation:

Step 1: Define/formula

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]a=\pi r^2(3.14*radius*radius)[/tex]

Step 2: Solve

According to the word problem, the radius is 8.

From here, we plug the numbers into the formula.

[tex]\pi 8^2(3.14*8*8)=200.96ft^2.[/tex]

Step 3: Conclude

Therefore, the area of this circle is 200.96 ft.²

Answer:

#1

Sum of interior angles is 180:

The law of sines:

#2

The law of cosines:

#3

Same as above:

#4

Sum of interior angles is 180:

The law of sines:

Answer:

Equation: 2 x 8 = 16

Step-by-step explanation:

1.8 ≈ 2

8 ≈ 8

2 x 8 = L

L = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

I'll help.

A student needs 15 minutes to solve an algebra problem. How many minutes does the student need to solve 5 problems?

it's easy, you only need to divide 15 by 5.

Like this :

15÷5= 3

• because 5×3 = 15 , so you just need to flip it over

so, the student need 3 minutes to solve 5 problems

Answer:

the answer is 0

hope it helps have a nice dayyy

Answer:

first option 7.331 × 10^6

Answer:

7.331×10E6

( E means the exponent just letting u know :)