Please help me with word problems

The probability of getting exactly 4 heads is 0.23.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Let p represents the probability of getting head in a toss of a fair coin, so

[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]

Let X denote the random variable representing the number of heads in 6 tosses of a coin.

The probability of getting r sixes in n tosses of a fair is given by,

Probability of getting 4 heads :

[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]

Hence, the probability of getting exactly 4 heads is 0.23.

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Answer:

the slop is 1

Step-by-step explanation:

hop that help

Answer:

255

Step-by-step explanation:

254.95

.95 is closest to 255.

254.95...255.

Answer:

11.25

Step-by-step explanation:

Base on the given we can conclude that:

3.75 + 6 × 1.25

Now solve the following:

3.75 + 6 × 1.25

3.75 + 7.50

=11.25

~lenvy~

Answer:11.25

Step-by-step explanation:

[tex]8x \leqslant 29[/tex]

Answer:

8x ≤ 29

Step-by-step explanation:

The reason why is because, 8 times 'x' also means 8 multiplied by x.

The words less than or equal to mean ≤, this is because the less than sign (<) denotes that the product of 8 and 'x' is below 29 and the line underneath the less than sign (<) means that it is equal to.

Answer:

(i) no correlation as one variable is not dependent on the other.

(ii)  The age of a car does affects its value.  Therefore, the age will be the independent variable (x-axis) and the value will be the dependent variable (y-axis).  Unless the car is a classic, sought-after car, as the age increases, its value decreases, so this will be a negative correlation.

(iii)  The time spent watching TV may affect exam score (since the more time spent watching TV equals less available time to spend studying).  Therefore, the time spent watching TV will be the independent variable (x-axis) and the exam score will be the dependent variable (y-axis).  As time spent watching TV increases, the exam score could potentially decrease, so this will be a negative correlation.

(iv)  no correlation, since one variable is not dependent on the other.

(v)  The cost of an apartment may affect its sale, but there are many factors that can affect this such as location of the apartment and the buyers it appeals to.  The cost will be the independent variable (x-axis) and the sale will be the dependent variable (y-axis).  In usual circumstances, we would expect to see as the cost of an apartment increases, the sale may decrease, as less and less buyers can afford to buy it, so this will be a negative correlation.

Answer:

Step-by-step explanation:

SOH CAH TOA

cos K  = 36/48 = 3/4

SIN L = 36/48 = 3/4

The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The triangle JKL is right angled triangle.

In the triangle KL is the opposite side of angle J.

SinL = Opposite/Hypotenuse

CosK = Adjacent/Hypotenuse

Used here, this means ...

sin(L) = KL/JL = 36/60 =6/10=3/5

cos(K) = KJ/KL = 36/60 = 6/10=3/5

sin(L) and cos(K) are equal

Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

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Answer:

The 4th one. Math class grade decreases if the number of days absence increases.

Step-by-step explanation:

With more days absent, lower math grade is shown.

Answer:

z = 50.2802734375

Step-by-step explanation:

y = 15.5

y is 512 times x

z is 50.25 more than x

15.5/512 = 0.0302734375

x = 0.0302734375

0.0302734375 + 50.25 = 50.2802734375

z = 50.2802734375

Answer:

Step-by-step explanation:

Here 8 and 10 are the like terms (both are constants)

-3k -(-8) + 2 = -3k + 8 +2

                    = -3k + 10

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

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The area, in square inches, of the entire trapezoidal rear window is 882 square inches.

A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.

Area of a trapezoid =  0.5 x (sum of the lengths of the parallel sides) x height

Area of a trapezoid =  0.5 x (36 + 48) x 21 = 882

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Answer:

a = ±6x

b = ±7

Step-by-step explanation:

1.

a² = 36x²

a = ±√(36x²)

a = ±6x

2.

b² = 49

b = ±√(49)

b = ±7

Answer:

18.75

Step-by-step explanation:

Answer:

The formula for surface area of a rectangular prism or cube is:

SA = 2 (LW+LH+WH)

So, we do, 2 (2×2+2×2+2×2)

So, the answer is 2×12 or 24 cm²

(1/3)³ = 1³ / 3³ = 1/27

1/27

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Step-by-step explanation:

the first graph

0=|x+2| f(0)=|0+2|

|x+2|=0 f(0)=|2|

x+2=0 f(0)=2

x=-2

Answer:

First graph X=-2

Using the binomial distribution, it is found that she should expect it to land on 3 9 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem:

Then, the expected value is given by:

E(X) = np = 36 x 0.25 = 9.

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Answer:

the answer is the number 23

Answer:

  30 cm²

Step-by-step explanation:

The shaded area is the difference between the area of the rectangle and the area of the triangle.

The area of the rectangle is ...

  A = LW = (12 cm)(4 cm) = 48 cm²

The area of the triangle is ...

  A = 1/2bh = 1/2(9 cm)(4 cm) = 18 cm²

__

The shaded area is the difference ...

  rectangle area - triangle area = 48 cm² -18 cm² = 30 cm²

The area of the shaded region is 30 square centimeters.

Answer:

Step-by-step explanation:

A(rectangle) - A(triangle)

L×W - ½×B×H

12×4 - ½×(9)×(4)

48 - 2×(9)

48 - 18

= 30cm²

Answer: B

Step-by-step explanation:

Answer:

x = 0

Divide both sides by the numeric factor on the left side, then solve.

Answer:

x=0

Step-by-step explanation:

1. Solve

-5(2x-3)=15

-10x+15=15

-10x+15-15=15-15

-10x=0

-10x/-10=0/-10

x=0

2. Check

-5(2x0-3)=15

-5(0-3)=15

-5x-3=15

15=15

3. Answer

x=0

no. the word technology spans every invention ever created. we don't.

Answer:

Yes, We as a society rely too much on technology because it is the new thing that everyone wants or needs. Technology can buy your groceries and food with a single click.

Step-by-step explanation:

Answers:

5.) [tex]\displaystyle \pm{8\sqrt{3}}[/tex]

4.) [tex]\displaystyle 3\sqrt[5]{3}[/tex]

3.) [tex]\displaystyle \pm{8\sqrt{5}}[/tex]

2.) [tex]\displaystyle 3\sqrt[3]{3}[/tex]

1.) [tex]\displaystyle \pm{3\sqrt{2}}[/tex]

Step-by-step explanations:

5.) [tex]\displaystyle \sqrt{27} + \sqrt{75} \hookrightarrow \pm{3\sqrt{3}} + \pm{5\sqrt{3}} \\ \\ \boxed{\pm{8\sqrt{3}}}[/tex]

4.) [tex]\displaystyle \sqrt[5]{3} + \sqrt[5]{96} \hookrightarrow \sqrt[5]{3} + 2\sqrt[5]{3} \\ \\ \boxed{3\sqrt[5]{3}}[/tex]

3.) [tex]\displaystyle \sqrt{45} + \sqrt{125} \hookrightarrow \pm{3\sqrt{5}} + \pm{5\sqrt{5}} \\ \\ \boxed{\pm{8\sqrt{5}}}[/tex]

2.) [tex]\displaystyle \sqrt[3]{3} + \sqrt[3]{24} \hookrightarrow \sqrt[3]{3} + 2\sqrt[3]{3} \\ \\ \boxed{3\sqrt[3]{3}}[/tex]

1.) [tex]\displaystyle \pm{\sqrt{2}} + \sqrt{8} \hookrightarrow \pm{\sqrt{2}} + \pm{2\sqrt{2}} \\ \\ \boxed{\pm{3\sqrt{2}}}[/tex]

I am joyous to assist you at any time.

Answer:

60 + 6n

Step-by-step explanation:

Distribute 6 to both terms:

6 * 10 is 60

6 * n is 6n

Both total are 60 + 6n

Hey there!

6(10 + n)

= 6(10 + 1n)

DISTRIBUTE 6 WITHIN the PARENTHESES

= 6(10) + 6(1n)

= 60 + 6n

= 6n + 60

Therefore, your answer is: 6n + 60

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

.1825 per ounce

Step-by-step explanation:

find the per ounce for each equation, then find the average per ounces from the 4 equations

Answer:

$60 per ticket

Step-by-step explanation:

$215 is what it costs after the discount, so add the amount taken off, back on.

215+25

240

Then, divide by 4 to find the cost of each individual ticket.

240/4

60