Peter calculated that the theoretical probability of obtaining exactly two heads when flipping six coins is 23.4%. What number of heads also has a 23.4% theoretical probability of coming up when 6 coins are flipped?

Answer:

Each friend gets 0.8 of a bar

Step-by-step explanation:

4bars/5friends

When 5 friends divide 4 candy bars among themselves, each friend gets 0.8 of a candy bar.

To answer how much candy does each friend gets when 5 friends split 4 candy bars, you apply the concept of division. The total number of candy bars (which is 4) should be divided by the total number of friends (which is 5). Thus, the answer is 4/5 or 0.8. This means that each friend will get 0.8 of a candy bar.

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Answer:

For the number 3 there are 33 numbers divisible by 3 from 1 to 100. If you want the number divisible by both 3 and 4 it is 58 . 58 - 8 = 50 numbers by 3 or 4. Hope I helped

Final answer:

Autry scored 9 times during the basketball game by multiplying the shot percentage (0.45) by the total number of shots attempted (20).

Explanation:

The student's question is, how many shots did Autry score if he made 45% of his shots and attempted 20 shots in total? To calculate this, you can use the following steps:

Convert the percentage to a decimal by dividing by 100. So, 45% becomes 0.45.

Multiply this decimal by the total number of shots attempted. In this case, 0.45 multiplied by 20 shots.

The result gives you the number of successful shots Autry made.

So, performing the calculation:

0.45 × 20 = 9

Autry scored 9 times during the basketball game.

Answer:

If in football. Then Homer has made a total of 24 interceptions and 96 hits

Step-by-step explanation:

if we know that Homer has four times as many hits in baseball than interceptions that means how ever many interceptions he has its four times greater that that number so if he had 5 interceptions then you would do 5 x 4 and the number of hit would be 20 so if you already know the number of hits all together like we do you would divide by 5 cause the number of hits count as 4/5 and interceptions is 1/5 of that so we do 120/5 which gives us 24 and to find the number of hit we times that by 4 then we get 96 and to check our answer 96 + 24 = 120

Answer:

Step-by-step explanation:If in football. Then Homer has made a total of 24 interceptions and 96 hits

Step-by-step explanation:

if we know that Homer has four times as many hits in baseball than interceptions that means how ever many interceptions he has its four times greater that that number so if he had 5 interceptions then you would do 5 x 4 and the number of hit would be 20 so if you already know the number of hits all together like we do you would divide by 5 cause the number of hits count as 4/5 and interceptions is 1/5 of that so we do 120/5 which gives us 24 and to find the number of hit we times that by 4 then we get 96 and to check our answer 96 + 24 = 120

Answer:

You will have $1628.16 per month in discretionary money.

Step-by-step explanation:

In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings.  Since there are 12 months in a year, your monthly income is $3072.  Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%.  The remaining percentage of your income would be considered discretionary, which would account for 53%.  To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.  

The discretionary money for a month is $1628.16, excluding savings per month.

The discretionary money is the leftover money in the income after excluding the savings and expenditures.

The given realized income is $36,864.00/yr

Then for a month, the realized income = $36,864/12

                                                                = $3072/month

Fixed and housing expenses are 32% of the realized income/month

= $3072 × [tex]\frac{32}{100}[/tex]

= $983.04

Savings are 15% of the realized income/month

= $3072 × [tex]\frac{15}{100}[/tex]

= $460.8

Then subtracting these from the realized income per month to get the discretionary money

Discretionary money (per month) = $3072 - $983.04 - $460.8

                                                        = $1628.16

So, the discretionary money left after excluding savings is $1628.16/month.

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Answer:

Lenght=50 feet.

Width=44 feet.

Step-by-step explanation:

1.  He wants the width of his new garden to be 6 less than the length, this can be expressed as following:

[tex]W=L-6[/tex]

Where W is the width L is the length.

2. The perimeter of a rectangle can be calculated with:

[tex]P=2L+2W[/tex]

3. You know the perimeter, therefore, you can substitute [tex]W=L-6[/tex] into the equation of the perimeter and solve for the length:

[tex]2L+2(L-6)=188\\2L+2L-12=188\\4L=200\\L=50[/tex] (The length is 50 feet)

3. Then, the width is:

[tex]W=L-6[/tex]

[tex]W=50-6=44[/tex] (The width is 44 feet)

Answer:

16x - 2y

Step-by-step explanation:

12x+4(x+y)-6y

Distributive property

=  12x + 4x + 4y -6y

Combine like terms

= 16x - 2y

Expand

12x + 4x + 4y - 6y

Collect like terms

(12x + 4x) + (4y - 6y)

Simplify

16x - 2y

Answer:

[tex] A = 40^\circ [/tex]

Step-by-step explanation:

Use the inverse cosine function.

[tex] \cos A = 0.7660 [/tex]

[tex] A = \cos^{-1} 0.7660 [/tex]

[tex] A = 40^\circ [/tex]

To find angle A when cos A = 0.7660, use the inverse cos function on a calculator set to degree mode, which reveals that A is approximately 40 degrees.

To find angle A to the nearest degree when given that cos A = 0.7660, we must use the inverse cosine function (also known as arccos). This can be done using a calculator set to degree mode.

Typically, you would enter 0.7660 and then press the inverse cos or arccos button on your calculator to find the angle in degrees. According to the given information, if cos A = 0.7660, then A is approximately 40 degrees, since the cosine for 40° is closest to 0.7660.

Remember to have your calculator set to degree mode rather than radian mode, to obtain the angle in degrees.

Answer:

You get 0.95

Step-by-step explanation:

Change each percentage to decimals.

70% is equal to 0.70

25% is equal to .25

15% is equal to .15

Add the decimal of pizza to the decimal of salad.

Answer:

x=248

Step-by-step explanation:

4log4(x+8)=4^2

Divide each side by 4

4/4log4(x+8)=4^2 /4

log4(x+8)=4

Using logb(x) = a  yields   b^a =x

4^4 = x+8

256 = x+8

Subtract 8 from each side

256-8 = x+8-8

248 =x

I want to help you but i get stuck every time i try doing your problem you might wanna try photo math its an app you can download that helps you with your math problems.

Answer:

Mean 22.1

% = 53.33

Step-by-step explanation:

Ralph needs to lose 53 pounds to reach his goal of weighing at most 195 pounds, which he can achieve through a slow and steady weight-loss approach.

Ralph is currently weighing 248 pounds and wishes to weigh at most 195 pounds. In order to find out how many pounds he needs to lose, we subtract his desired weight from his current weight.

Current weight - Desired weight = Weight to lose

248 pounds - 195 pounds = 53 pounds

Therefore, Ralph would need to lose 53 pounds to reach his goal of weighing at most 195 pounds. This aligns with the concept of achieving slow and steady weight-loss goals, typically losing 1 to 2 pounds per week for sustainable results. As noted, many obese people worry about being heavy, and while losing weight can be challenging, successful dieters often make lifelong changes to their eating and activity patterns.

Answer:

Your answer would be D: isometry

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

Answer:

Plane Speed (x) = 378 mph

Step-by-step explanation:

Equation

d = r * t

Givens

With the wind

Against the wind

Equation

The distances are the same, so you can solve for x in terms of y and then deal with the actual distance.

(x + y)*4 = (x - y)*5                   Remove the brackets on both sides

Solution

Solution part 2

Now take one of the distance formulas and solve for x first then y.

Answer:

5x^2  -3x  +9

Step-by-step explanation:

To subtract, line up the common terms.  I add a 0 term to keep the terms in line.

5x^2  + 0x  +7

- (0x^2 +3x-  2 )

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

Distribute the negative sign.

5x^2  + 0x  +7

- 0x^2 -3x  + 2

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

5x^2  -3x  +9

Answer:

B

Step-by-step explanation:

[tex](5x^{2} + 7) - (3x - 2)\\5x^{2} + 7 - 3x - (-2)\\5x^{2} + 7 - 3x + 2\\ B - 5x^{2} - 3x + 9\\[/tex]

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

The given linear equation is;

[tex]\frac{3x+5}{2}=-5[/tex]

We multiply through by 2 to clear the fraction.

This implies,

[tex]3x+5=2\times -5[/tex]

[tex]3x+5=-10[/tex]

Group like terms,

[tex]3x=-10-5[/tex]

Simplify,

[tex]3x=-15[/tex]

Divide both sides by 3.

[tex]\Rightarrow x=-5[/tex]

Answer:

x = -5

Step-by-step explanation:

[tex]\frac{3x+5}{2}[/tex]=-5

Multiplying both sides by 2

3x + 5 = -10

3x + 5 - 5 = -10 - 5

3x = -15

Dividing by 3 on both sides

x = -5

Answer:

There are no values of x

that make the equation true.

Step-by-step explanation: No solution

Answer:

y = 2x + 17

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 7, 3) and (x₂, y₂ ) = (- 10, - 3)

m = [tex]\frac{-3-3}{-10+7}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 7, 3 ), then

3 = - 14 + c ⇒ c = 3 + 14 = 17

y = 2x + 17 ← equation of line

The probability of getting a 5 from the first rolling is 1/6.  The probability of getting an even number  is 1/2 (= 1/6 (for a 2) + 1/6 (for a 4) + 1/6 (for a 6)).  As the two rollings are independent, you can just multiply two probability values to come up with a final answer.  That is, (1/6)·(1/2) = 1/12.

Note that I did not write this. This answer comes from Wyzant. I am only linking this to you so that you'll get the answer quickly.

Answer:

i think its 1 out of 6 or 2 out of 12 depending on the way you meant the question  im pretty sure this is right correct me if iam wrong

Step-by-step explanation:

[tex]\dfrac{4x^3+5x^2+3x}{x}=\dfrac{4x^3}{x}+\dfrac{5x^2}{x}+\dfrac{3x}{x}=4x^2+5x+3\\\\other\ method\\\\\dfrac{4x^3+5x^2+3x}{x}=\dfrac{x(4x^2+5x+3)}{x}=4x^2+5x+3[/tex]

The student needs to calculate the total number of ounces collected by multiplying the number of students by the amount each student brought in, then add these totals together. The collection goal of 200 ounces minus this sum will equal the number of ounces left to be collected.

To answer your question properly, we first need to calculate the number of ounces the students have already collected. The calculation goes as follows: (3 students * 12.7 ounces per student) + (4 students * 17.3 ounces per student). The result of these calculations will be the total ounces of cans brought in. To determine how many ounces of cans are left to be collected to reach the goal, we subtract this sum from 200, the collection goal in ounces. As these are basic arithmetic calculations, they present an example of how mathematics can be used to solve practical problems relating to the real-world context of the question.

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Answer:

Answer: D

Step-by-step explanation:

The y intercept always occurs when x = 0.

f(x) = (1/2)^x

f(0) = (1/2)^0

f(0) = 1

So when x = 0 f(x) = 1

(0,1)

or D

Answer:0,1

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Solve for y:

5 y = 135

Divide both sides of 5 y = 135 by 5:

(5 y)/5 = 135/5

5/5 = 1:

y = 135/5

The gcd of 135 and 5 is 5, so 135/5 = (5×27)/(5×1) = 5/5×27 = 27:

Answer:  y = 27

Answer:

y = 27

Step-by-step explanation:

Divide both sides of the equation by 5.

[tex]\frac{5y}{5}[/tex] = [tex]\frac{135}{5}[/tex]

[tex]y = 27[/tex]

To check if this is true, substitute 27 back into the original equation.

[tex]5y=135[/tex]

[tex]5(27)=135[/tex]

[tex]135=135[/tex]

Answer:

The answer rounded would be 34.79

Step-by-step explanation:

The full answer is 34.78505426185217265198782898876

Answer:

11√10

Step-by-step explanation:

square root 22 times square root 55

= √22 * √55

= √(22 * 55)

= √1210

= √(121) * (10)

= 11√10

1) From the total of 17 marbles, Jacob takes 2 out at random. There are

[tex]\dbinom{17}2=C(17,2)=C^{17}_2=\dfrac{P(17,2)}{2!}=\dfrac{P^{17}_2}{2!}=\dfrac{17!}{2!(17-2)!}=136[/tex]

possible outcomes of the draw. (Lots of different notations are used for the binomial coefficient; the first one is my preference.) The number of ways to draw exactly 2 orange marbles is

[tex]\dbinom70\dbinom{10}2=1\cdot1\cdot45=45[/tex]

That is, of the 3 red and 4 blue marbles - or the 7 non-orange marbles - we want 0; of the 10 oranges, we want 2.

So the probability of drawing exactly 2 orange marbles is [tex]\dfrac{45}{136}\approx0.33[/tex].

2) Now Jacob draws 3 marbles, for which there are

[tex]\dbinom{17}3=680[/tex]

possible combinations. The event that Jacob draws at least 1 orange marble is complementary to the event that Jacob draws 0 orange marbles. So if we find the probabilty of drawing 0 oranges, then we subtract this from 1 to find the probability of drawing at least 1.

There are

[tex]\dbinom73\dbinom{10}0=35\cdot1=35[/tex]

possible ways of doing, so the probability of drawing 0 oranges is [tex]\dfrac{35}{680}[/tex], in turn making the probability of drawing at least 1, [tex]1-\dfrac{35}{680}=\dfrac{645}{680}\approx0.95[/tex].

3) This question is kinda ambiguous. It's not clear whether Jacob draws a marble with or without replacement.

If he does return a drawn marble to the bag, then for each draw, there is a [tex]\dfrac{10}{17}[/tex] probability that he draws an orange marble, and a [tex]\dfrac7{17}[/tex] probability of not. The draws are presumably independent of one another, so that the probability of drawing the first orange marble on the fourth attempt would be

[tex]\dfrac7{17}\cdot\dfrac7{17}\cdot\dfrac7{17}\cdot\dfrac{10}{17}=\dfrac{3430}{83521}\approx0.041[/tex]

If no replacements are made, then as non-orange marbles are drawn from the bag, the number of non-oranges and the total number of marbles both decrease by 1. Then the probability of drawing orange on the fourth draw would be

[tex]\dfrac{\dbinom71\dbinom61\dbinom51\dbinom{10}1}{\dbinom{17}1\dbinom{16}1\dbinom{15}1\dbinom{14}1}=\dfrac5{136}\approx0.037[/tex]

If you're supposed to round to the nearest hundredths place, your final answer should be acceptable either way.

4) We want the probability that a boat is made of wood given that it has chrome accents:

[tex]P(\text{wood}\mid\text{chrome})=\dfrac{P(\text{wood AND chrome})}{P(\text{chrome})}=\dfrac{70\%}{75\%}\approx93\%[/tex]

5) We apply the inclusion/exclusion principle:

[tex]P(\text{wood OR chrome})=P(\text{wood})+P(\text{chrome})-P(\text{wood AND chrome})[/tex]

[tex]P(\text{wood OR chrome})=90\%+75\%-70\%=95\%[/tex]

6) The events of a boat having chrome accents and a boat being made of wood are independent if and only if

[tex]P(\text{wood AND chrome})=P(\text{wood})\cdot P(\text{chrome)}[/tex]

But [tex]90\%\cdot75\%=67.5\%\neq70\%[/tex], so these two events are not independent.

Answer:

152/15

Step-by-step explanation:

So 3 1/5 can be rewritten as 16/5 and 3 1/6 can be written as 19/6. SO 16/5*19/6 is 304/30 or simplified as 152/15

Answer:

I really can't show a tree diagram on here, So i will come back to this question if I figure out how to do that.

Step-by-step explanation:

When spinning two matching-letter spinners with four letters each, there are 4 out of 16 possible outcomes where you win. Therefore, the probability of winning is 25%.

To calculate the probability of winning when spinning two matching-letter spinners, we need to know the number of possible outcomes and the number of successful outcomes.

If both spinners have the same set of letters, let's say A, B, C, and D, then there are a total of 4 x 4 = 16 possible outcomes when you spin both spinners (4 possibilities on the first spinner times 4 possibilities on the second spinner).

Out of these 16 possible outcomes, there are 4 outcomes where the letters match (A-A, B-B, C-C, D-D). So, there are 4 successful outcomes.

To find the probability of winning, you divide the number of successful outcomes by the total number of possible outcomes:

Probability of winning = (Number of Successful Outcomes) / (Total Number of Possible Outcomes) = 4/16 = 1/4 = 25%

So, the probability of winning when spinning two matching-letter spinners is 25%.

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The probable question maybe :

content loaded

Two spinners are shown to the right are spun. If the letters match you win otherwise you lose. What is the probability that you win?

Answer:

(-1,3)

Step-by-step explanation:

Graph the given system of equations

y=-x+2  

make a table for each equation to graph it

Lets assume some value for  x  and find out y

x     y=-x+2

-1      -(-1) + 2= 3

0       0+2 = 2

1         -1+2 = 1

Now make  a table for second equation

y= 4x+7

Lets assume some value for  x  and find out y

x     y= 4x+7

-1       4(-1) +  7= 3

0       4(0) + 7 = 7

1        4(1) + 7 = 11

The graph is attached below

Solution is (-1,3)

Answer:

B

Step-by-step explanation:

subtract the volume of the small box from the large box, that is

5x² - 2x + 10 - (3x² + 3x)

= 5x² - 2x + 10 - 3x² - 3x ( collect like terms )

= 2x² - 5x + 10 → B

The answer is:

B. (5x2 − 2x + 10) − (3x2 + 3x) = 2x2 − 5x + 10)