A person flipped a coin 100 times and obtained 73 heads. Can the person conclude that the coin was unbalanced?

Probability of more than 3 = 0.25

Solution:

Given table shows the pitches, frequency and probability of pitches.

P(x = 1) = 0.15, P(x = 2) = 0.2, P(x = 3) = 0.4, P(x = 4) = 0.15, P(x = 5) = 0.1

To find the probability that the pitcher will throw more than 3 pitches.

Probability of more than 3 pitches = P(x > 3)

                                                         = P(x = 4) + P(x = 5)

                                                         = 0.15 + 0.1

                                                         = 0.25

                                            P(x > 3) = 0.25

Hence the probability that the pitcher will throw more than 3 pitches to a batter is 0.25.

Final answer:

Probability distributions are used to assess the likelihood of different outcomes in a given set of data. To find probabilities, you need to determine the type of probability distribution and use the appropriate formulas or tables.

Explanation:

Probability distributions are used to assess the likelihood of different outcomes in a given set of data. They can take different shapes depending on the nature of the population. One common type of probability distribution is the normal distribution, which represents a bell curve.

To find probabilities using a probability distribution, you can follow these steps:

Answer:

3.14 x 4.46^2= 62.39 square centimeters

Step-by-step explanation:

Answer:

x=-5/4

Step-by-step explanation:

-2(3x+2)=2x+6

-6x-4=2x+6

-6x-2x-4=6

-8x-4=6

-8x=6+4

-8x=10

x=10/-8

x=-10/8

simplify

x=-5/4

38 double-occupancy apartments are currently rented

Solution:

Given that, apartment building currently has rented x apartments with two occupants and 16 apartments with one occupant

Number of apartments with one occupant = 16

Number of apartments with two occupants = x

The apartment building has 92 total occupants

Therefore, we frame a equation as,

Number of apartments with one occupant + 2 x Number of apartments with two occupants = 92

[tex]16 + 2 \times x = 92[/tex]

16 + 2x = 92

Solve the above equation for "x"

2x = 92 - 16

2x = 76

x = 38

Thus 38 double-occupancy apartments are currently rented

Final answer:

To determine the number of double-occupancy apartments that are currently rented, we solve the equation: 2x + 16 = 92. After simplifying, we find that there are 38 double-occupancy apartments rented.

Explanation:

To determine the number of double-occupancy apartments that are currently rented, we need to solve the equation: 2x + 16 = 92.

First, we subtract 16 from both sides of the equation: 2x = 76.

Next, we divide both sides of the equation by 2 to isolate x: x = 38.

Therefore, there are 38 double-occupancy apartments currently rented.

To represent the situation algebraically, we use the equation 54 = 0.60G, and solving it gives us Noah's fundraising goal of $90.

Let's represent Noah's fundraising goal as G. According to the problem, Noah has raised $54, which is 60% of his goal. This situation can be translated into the algebraic equation:

To find Noah's fundraising goal (G), we can divide both sides of the equation by 0.60:

Therefore, Noah's fundraising goal is $90.

Answer:

Step-by-step explanation:

1.3 < Length/3.5 < 2.5

4.55 < Length < 8.75

Graph:

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|                 |

| 4.55  --------  8.75  |

|                 |

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|-----------------|

Answer:

6 numbers

Step-by-step explanation:

Note that [tex]4<8<9,[/tex] then

[tex]\sqrt{4}<\sqrt{8}<\sqrt{9}\\ \\2<\sqrt{8}<3[/tex]

and [tex]64<72<82,[/tex] then

[tex]\sqrt{64}<\sqrt{72}<\sqrt{81}\\ \\8<\sqrt{72}<9[/tex]

List all positive integers which have a value between [tex]\sqrt{8}[/tex] and [tex]\sqrt{72}:[/tex]

[tex]3,\ 4,\ 5,\ 6,\ 7,\ 8[/tex]

Hence, there are 6 such numbers

Answer:

72y

Step-by-step explanation:

Multiplication can be done in any order

8x9=72

72 times y is 72y

Answer:

A) 2x+50

Step-by-step explanation:

First, let's make a variable for each person

Sam = x

Hector = h

Ted = t

Gina = g

We know that Hector has twice the amount hat Sam has so his equation is

h = 2x

We know that Ted has 100 more than Hector so his equation is

t = h + 100

Gina has 50 less than Ted to she has

g = t - 50

Since we need to find out how much Gina has using units of Sam the equation will be

g = 2x + 100 - 50 or simplified g = 2x + 50

Step-by-step explanation:

95-a (b+c)

95-9 (3+7.4)

95-9×10.4

95-93.6

=1.4

Answer: 894.4

Step-by-step explanation:

95-9(3+7.4)

⬇️

95-9 (10.4)

⬇️

86(10.4)

⬇️

894.4

Answer:

5x+7

Step-by-step explanation:

The length of diagonal of park is √200 feet.

Step-by-step explanation:

Given,

Perimeter of square playground = 40 feet

Let,

a be the length of one side.

Perimeter = 4a

[tex]4a=40\\\\a=\frac{40}{4}\\\\a=10[/tex]

Length of one side of square is 10 feet.

A diagonal will form a right triangle, where,

Diagonal = c

a = 10

b = 10

Using pythagoras theorem

[tex]a^2+b^2=c^2\\(10)^2+(10)^2=c^2\\100+100=c^2\\200=c^2\\c^2=200[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{200}\\c=\sqrt{200}[/tex] feet

The length of diagonal of park is √200 feet.

Keywords: perimeter, square

Learn more about perimeter at:

#LearnwithBrainly

Answer:

10√2 (Simplest Radical Form)

Step-by-step explanation:

While Absor201 got √200, it is still not in simplest radical form. If you got this question from MathNation, then 10√2

Answer:

Hope this helps!

Step-by-step explanation:

1. Do all of the homework. ...

2. Fight not to miss class. ...

3. Find a friend to be your study partner. ...

4. Establish a good relationship with the teacher. ...

5. Analyze and understand every mistake. ...

6. Get help fast. ...

7. Don't swallow your questions. ...

8. Basic skills are essential.

Answer:

x^12

Step-by-step explanation:

Answer:

x=-2 OR x=-10 i.e.

Solution Set = {-2,-10}

Step-by-step explanation:

The equation described in words is typed and solved below:

[tex]3+4|\frac{x}{2}+3|=11 \\4|\frac{x}{2}+3|=11-3\\4|\frac{x}{2}+3|=8\\|\frac{x}{2}+3|=\frac{8}{4} \\|\frac{x}{2}+3|=2\\\frac{x}{2}+3=2 OR \frac{x}{2}+3=-2\\\frac{x}{2}=2-3 OR \frac{x}{2}=-2-3\\\frac{x}{2}=-1 OR \frac{x}{2}=-5\\x=-2ORx=-10\\[/tex]

Answer:

it is -10

Step-by-step explanation:

Answer:

they are similar as the enlargement has a scale factor divide it then woke it out

Answer:

D

Step-by-step explanation:

its D for sure

Answer:

d

Step-by-step explanation:

46.77 feet Use the Pythagorean theorem.

Answer:

1. (4, 3) and (-3, 4) has  Slope  = -1/7  

2.(-2, 0) and (8, -4) has Slope  = -2/5

Step-by-step explanation:

If two such points (a,b) and (c,d) are given, then the slope S is given as:

[tex]S = (\frac{d-b}{c-a} )[/tex]

Now here, the given set of points are:

1. (4, 3) and (-3, 4)

Here, the slope S  = [tex](\frac{4-3}{-3-4}) = (\frac{1}{-7}) = -(\frac{1}{7})[/tex]

⇒ S  = -1/7

1. (-2, 0) and (8, -4)

Here, the slope S  = [tex](\frac{-4-0}{8-(-2)}) = (\frac{-4}{10}) = -(\frac{2}{5})[/tex]

⇒ S  = -2/5

Answer:

8  1 /2

For this we need to determine what  

2 /3 of 12 3/4 is, so we multiply the fractions together.

Answer:

(4 × 3) + (1 × 1)

Step-by-step explanation:

Sum means adding, so you are adding the product of 4 and 3 to the product of 1 and 1.

Product means multiplying, so you are multiplying 4 and 3 together, and since you just want an expression, this is expressed as 4 × 3.

You are also multiplying 1 and 1 together, so that can be expressed by 1 × 1.

Since you are adding these together, you just put a plus sign in between the two terms. That gives you (4 × 3) + (1 × 1).

Answer:

The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38

Step-by-step explanation:

The equation of the normal to the curve is

Y- y1 = - 1/m (x- x1)

Where m is the gradient.

See attached picture for the complete solution.

The equation of the line normal to the curve of y=cos(1/3)x, where x=pi, can be found by taking the negative reciprocal of the derivative of the curve at that point and using the point-slope form of a line.

The equation of the line normal to the curve of y=cos(1/3)x at x=pi can be found by taking the negative reciprocal of the derivative of the curve at that point.

The derivative of cos(1/3)x is -sin(1/3)x*(1/3).

At x=pi, the derivative is -sin(pi/3). Taking the negative reciprocal of this gives the slope of the line normal to the curve

So the slope is 1/ tan(pi/3).

Now, we can use the point-slope form of a line to find the equation of the line.

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope.

Plugging in the values, we get y - cos(pi/3) = (1/tan(pi/3))(x - pi).

Simplifying further will give us the equation of the line normal to the curve at x=pi.

Final answer:

The equation 40w + 12.50 = 492.50 best represents Nicole paying $40 per week for self-defense classes, plus a one-time registration fee of $12.50, totaling $492.50.

Explanation:

The situation best represented by the equation 40w + 12.50 = 492.50 is option A) Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. Here, w represents the number of weeks Nicole was enrolled in self-defense classes. The equation can be understood as follows: $40 is multiplied by the number of weeks (w), and $12.50 is added for the registration fee, summing to a total of $492.50.

Answer:

see attached picture please

Answer:

Answer D

Step-by-step explanation:

Answer:Option D

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The square length of hypotenuse is equal to two sides' length square added together

C = 10^2 + 7.5^2 = √156 approximately 12.5

The answer is 10 if needed to round to nearest tenth.

Answer:

1 whole

Step-by-step explanation:

Answer:1

Step-by-step explanation:You have 6 sixths. That means it is a whole number

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.

Final answer:

The measure of the supplementary angle to a 135-degree angle is 45 degrees, calculated by subtracting 135 degrees from 180 degrees.

Explanation:

The measure of an angle is 135 degrees. Supplementary angles are two angles whose measures add up to 180 degrees. To find the measure of the supplementary angle, we subtract the given angle's measure from 180 degrees. Here's the calculation:

Answer:

[tex]4\ sea\ urchins[/tex]

Step-by-step explanation:

The correct question is

The number of seahorses is 4 times the number of sea urchins.There are 16 seahorses write and solve and equation to find how many sea urchins are there.

Let

x ----> the number of seahorses

y ----> the number of sea urchins

we know that

The number of seahorses is 4 times the number of sea urchins

so

[tex]x=4y[/tex] -----> equation A

There are 16 seahorses

so

[tex]x=16[/tex] ----> equation B

Solve the system by substitution

substitute equation B in equation A

[tex]16=4y[/tex]

solve for y

divide by 4 both sides

[tex]y=16/4\\y=4\ sea\ urchins[/tex]

Answer:

4.

Step-by-step explanation:

if 4 is the number of Urchins 4*4 is 16 which is how many seahorses there are.

Answer:

Step-by-step explanation:

y = A(1 - r)^t......y = value of car after t years.....A = original cost....r = rate of depreciation.....t = time in years

y = 12,282.50

A = 20,000

r = 15% = 0.15

12,282.50 = 20,000(1 - 0.15)^t

12,282.50 / 20,000 = 0.85^t

0.614125 = 0.85^t

log 0.614125 = t * (log(0.85))

t = (log 0.614125) / (log 0.85)

t = 3 <=== 3 years old

Answer:

C. 3 years

Step-by-step explanation:

I can confirm that the answer to your question is C.

Answer:

Step-by-step explanation:

y = -12x - 1

y = 14x - 4

-12x - 1 = 14x - 4

-1 + 4 = 14x + 12x

3 = 26x

3/26 = x

y = 14x - 4

y = 14(3/26) - 4

y = 42/26 - 4

y = 42/26 - 104/26

y = - 62/26 reduces to - 31/13

solution : x = 3/26 and y = -31/13 or (3/26,-31/13)