Which expression represents the amount of money John has collected?

John collects $5 for club dues from each member. Use the variable
m
for the number of members in the club.

Answer:

12

Step-by-step explanation:

absolute value of a positive number remains that way

The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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Answer:

If -2 wrong then I am sorry.

Step-by-step explanation:

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

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a. The probability of a correct decision on each trial is 0.1.

b. The expected number of correct decisions in seven trials is 0.7.

c. The probability of no correct decisions in seven trials is approximately 0.478.

d. The probability that the psychic guesses incorrectly in all seven trials is approximately 0.0078.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

a. If the psychic is guessing (i.e., does not possess ESP), there are 10 boxes, and only one of them contains the crystal.

Therefore, the probability of a correct decision on each trial is -

p = 1/10 = 0.1

b. If the psychic is guessing, the expected number of correct decisions in seven trials can be found by multiplying the probability of a correct decision on each trial (0.1) by the number of trials (7) -

E(X) = np = 7 × 0.1 = 0.7

Therefore, the number of correct decisions is 0.7.

c. If the psychic is guessing, the probability of no correct decisions in seven trials can be found using the binomial distribution formula -

\(P(X=0) = (n\ choose\ x) \times p^x \times (1-p)^{(n-x)}\)

In this case, n = 7, x = 0, and p = 0.1.

Substituting these values into the formula, we get -

\(P(X=0) = (7\ choose\ 0) \times 0.1^0 \times 0.9^7 = 0.478\)

Therefore, the probability value is 0.478.

d. If the psychic has ESP and p = 0.5, the probability of guessing incorrectly on any trial is -

q = 1 - p

q = 1 - 0.5

q = 0.5

The probability of guessing incorrectly in all seven trials can be found using the binomial distribution formula -

\(P(X=7) = (n\ choose\ x) \times p^x \times q^{(n-x)}\)

In this case, n = 7, x = 7, p = 0.5, and q = 0.5.

Substituting these values into the equation, we get -

\(P(X=7) = (7\ choose\ 7) \times 0.5^7 \times 0.5^0 = 0.0078\)

Therefore, the probability value is 0.0078.

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The Tampa bay skeptics performed an experiment to see whether an acclaimed psychic has extrasensory perception (ESP). A crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. The experiment was repeated seven times, and x, the number of decisions, was recorded. (Assume that the seven trials are independent.)

a. If the psychic is guessing (i.e., if the psychic does not possess ESP), what is the value of p, the probability of a correct decision on each trial?

b. If the psychic is guessing, what is the expected number of correct decisions in seven trials?

c. If the psychic is guessing, what is the probability of no correct decisions in seven trials?

d. Now suppose the psychic has ESP and p=.5. What is the probability that the psychic guesses incorrectly in all seven trials.

Answer:

x = 7       y = 16

Step-by-step explanation:

The dashes on the lines show they are equal in length.

So     y - 4 = x + 5

and     2x + 5 = x + 12

Rearrange   2x + 5 = x + 12  and solve for x:

collect like terms:   2x - x = 12 - 5

                                       x = 7

Now substitute the found value of x into  y - 4 = x + 5  and solve for y:

                                 y - 4 = x + 5

Substitute x=7:          y - 4 = 7 + 5

Add 4 to each side:       y = 7 + 5 + 4

                                        y = 16

Answer:

The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :

15 : 60 = 1 : 4

basically 1/4

Step-by-step explanation:

hi

so the amount will be increased by  1 + 3/100 = 1.03

so multiply current balance by 1.03 and she will know balance in a year

The probability that exactly two of selected are 75W is 0.2967 , probability that exactly two of the selected bulbs are rated 75W is 0.2637 , probability that one bulb of each type is selected is 0.0747  .

Probability of an event E denoted by P(E) is defined as number of favorable outcomes divided by total number of outcomes.

In the given question

40W bulbs = 4

60W bulbs = 5

75W bulbs = 6

Total number of bulbs = 4+5+6=15.

Part(a)

probability that exactly two of the selected bulbs are rated 75-w

Selection of 3 bulbs from 15 bulbs can be done in C(15,3) ways.

\(=\frac{15!}{3!*12!}\)

\(=\frac{15*14*13*12!}{12!*3!} \\ \\ =\frac{15*14*13}{3*2*1}\)

=455 ways

Total number of ways = 455      ...(i)

Now,

Number of ways of selecting 2 ,75W bulbs and 1 bulb from the remaining is C(6,2)*C(9,1).    

= C(6,2)*C(9,1)

\(=\frac{6!}{2!*4!} *\frac{9!}{1!*8!} \\ \\ =\frac{6*5*4!}{2*4!} *\frac{9*8!}{8!}\)

\(=\frac{6*5}{2} *9\\ \\ =15*9\\ \\ =135\)

the probability that exactly two selected bulbs are rated 75W = 135/455 =0.2967

Part(b)

probability that one bulb of each type is selected .

Number of ways of selecting one bulb from each type = selecting 1 bulb from four 40W bulbs + 1 bulb from 60W bulbs + 1 bulb from 75W bulbs.

Number of ways of selecting one bulb from each type=C(4,1)*C(5,1)*C(6,1)

\(=C(4,1)*C(5,1)*C(6,1)\\ \\ =\frac{4!}{3!*1!} *\frac{5!}{4!*1!} *\frac{6!}{5!*1!}\)

\(=\frac{4*3!}{3!} *\frac{5*4!}{4!} *\frac{6*5!}{5!}\)   ...( as 1!=1)

\(=4*5*6\\ \\ =120\)

Number of ways of selecting one bulb from each type = 120

Total number of ways = 455     ...from equation (i)

Probability that exactly two bulbs selected are rated 75W =120/455

=0.2637

Part(c)

probability that all three of the selected bulbs have the same rating

Number of ways three bulbs of same rating are selected = (all 3 from 40W bulbs )+(all 3 are from 60W bulbs )+( all 3 are from 75 W bulbs)

\(=C(4,3)+C(5,3)+C(6,3)\)

\(=\frac{4!}{1!*3!} +\frac{5!}{2!*3!} +\frac{6!}{3!*3!} \\ \\ =\frac{4*3!}{3!} +\frac{5*4*3!}{2!*3!} +\frac{6*5*4*3!}{3*2*3!}\)...( as1!=1)

\(=4+10+20\)

\(=34\)

Number of ways three bulbs of same rating are selected = 34

Total number of ways = 455     ...from equation (i)

Probability that all three of the selected bulbs have the same rating=34/455 = 0.0747

Therefore ,(a) the probability that exactly two of selected are 75W is 0.2967 , (b) probability that exactly two of the selected bulbs are rated 75W is 0.2637 (c)  probability that one bulb of each type is selected is 0.0747  .

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Answer: The jewelry is going to be $1291.08 after 4 years.

Step-by-step explanation: U will need to divide the 12.1% by 100 and that will give you 0.121 and then u would have to times the 0.121 by 4 and then add 1 and then u will have to times 870 by 4.484 which will give u $1291.08. Or u could just use this equation: 870(1+(0.121 x 4).

Answer:

Tristan haves 5 soccer balls, and Paul has 9.

We will use addition 5 + 9 = 14

Step-by-step explanation:

Add the numbers 5 + 9 = 14

Answer:

n can be a number less than 3

Step-by-step explanation:

Hope this helps!

Answer:

N<3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

By Using the Transformations of the parabola

\(y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3\)

\(y = x^2+ k\)

\(y = (x - h)^2\)

Reflection in x-axis  

\(y = -(x^2)\)

Reflection in y-axis

\(y = (-x)^2\)

stretches away from the x-axis or compresses toward the x-axis

\(y = a .x^2\)

| a | > 1 is a stretch;

0 < | a | <1 is a compression

stretches away from the y-axis or compresses toward the y-axis

\(y=\frac{1}{a} x^{2}\)

| a | > 1 is a compression by factor of 1/a;

0 < | a | <1 is a stretch by factor of 1/a

Now, we have \(y=x^2\)

4). Reflect over x-axis, shift to the left 5 units, shift up 7 units

\(y = -(x+5)^2+7\)

5) Vertical stretch by a factor of 4, shift down 11 units

\(y=4 x^{2} +7\)

6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.

\(y=-(x-2)^{2} +3\)

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-3 + 3 = 0

-3 x 3 = 9

This can easily be determined because a negative number and a positive number added together is zero after that you just have to focus on multiplication to come to your answer of 3/-3

Answer:

4.2

Step-by-step explanation:

Four and one-sixth is equal to 4.2. One-sixth is the same as 1/6, which is equal to 0.16666666666666666. When you add this fraction to 4, you get 4.166666666666667, which can be rounded to 4.2. Four and sixteen hundredths is equal to 4.16, which is close to 4.2 but not exactly the same. Six twenty-fifths is equal to 0.24, which is also not equal to 4.2. 416% is equal to 4.16, which is also not equal to 4.2.

Answer:

m<DBC = 109

Step-by-step explanation:

8x-27=6x+7

8x=6x+34

2x=34

x=17

8(17)-27= 109

Answer: 109

Step-by-step explanation:

i'm not entirely sure of this answer as its been a while since ive done problems like this, however, i think the steps to solve are setting (8x-27) equal to (6x+7). Once you do that, you can solve for x. Substitute x into angle DBC to find the answer.

Answer:

x=9

Step-by-step explanation:

Answer:

0.45

Explanation:

Probability of bad motherboard(MB) = 0.30

Probability of bad hard-drive(H) = 0.40

Probability of bad motherboard and hard-drive (MB and H) = 0.15

P(MB U H)= P(MB) + P(H) -P(MB and H)

=0.30+0.40-0.15=0.55

Probability that a 5 year old computer would have no problems of motherboard and hard-drive =

1-P(MB U H) = 1-0.55= 0.45

Answer:

155625 is the answer.

Step-by-step explanation:

add astre#6666 on discord for the step by step

The value of P in the expression \(x^2-10x+P=(x-A)(x-B)\) is 25

Given the expression \(x^2-10x+P=(x-A)(x-B)\)

To get the value of P, we will use the completing the square method;

Add the square of the half of the coefficient of x

Hence the complete quadratic expression will be \(x^2-10x + 25\)

Hence the value of P in the expression \(x^2-10x+P=(x-A)(x-B)\) is 25

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Answer:

18502.8229198

Answer:

18502.82292

Step-by-step explanation:

calculator

Answer:

35.26m

Step-by-step explanation:

6.7/ 2 = 3.35

Radius = 3.35^2

Circle = pie x 3.35^2

pie x 11.2225 = 35.25652355

35.25652355 estimated = 35.26

Answer:I think $1064

Step-by-step explanation:

First you multiply 1/5 by 420 and then add, so 1/5 x 420 = 84 & 420 + 84 = 504. Then you multiply 1/3 by 420 and also add, so 1/3 x 420 = 140 & 420 + 140 = 560. After you add both totals to get your final answer, so 504 + 560 = 1064. Her income each month is $1064.

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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Answer:

6345478655

Step-by-step explanation:

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