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dalia bought a few swirl marbles and divided it equally among four of her friends and her brother jake. while playing jake lost 2 marbles and has only 7 marbles at present. find how many marbles did dalia buy in all.

a. The probability that he must stop at both signals is 0.2.b. The probability that he must stop at the first signal but not at the second one is 0.2.

c. The probability that he must stop at exactly one signal is 0.5.

a. The probability that he must stop at both signals is equal to the product of the individual probabilities of stopping at each signal, which is 0.4 x 0.5 = 0.2.

b. The probability that he must stop at the first signal but not at the second one is equal to the probability of stopping at the first signal only, which is 0.4.  

c. The probability that he must stop at exactly one signal is equal to the sum of the probability of stopping at the first signal and the probability of stopping at the second signal, which is 0.4 + 0.5 = 0.5.

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As described in probability Null hypothesis is 0.64

what is probability?

Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is expressed. To forecast the likelihood of events, probability has been introduced in mathematics.

Solution:

Null hypothesis H0 : p =  0.64

Alternate hypothesis Ha : p ≠ 0.64

therefore  Null hypothesis is 0.64

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We need to complete the following identity:

For solving this problem, we need to check some known trigonometric identities, in this case we can use the following product identity:

If we replace alpha by a and beta by b, we obtain:

The answer is C. sin a.

Answer:

-12?

Step-by-step explanation:

The number of different possible passwords possible is 6760000

The number of ways the passwords are possible is 10^4 * 26^2

10^4 * 26^2= 10000 * 676

10^4 * 26^2 = 6760000

Hence the number of different possible passwords possible is 6760000

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Answer:

its D

Step-by-step explanation:

Answer:

Row n ---> 27th term is 27.

Row T ---> 27th term is 80.

Step-by-step explanation:

To find the 27th term for the top row, row n, you will use this formula:

an = a1 + f × (n-1)

The first number = 1

The common difference (f) = 1

a27 = 1 + 1 × (27-1)

a27 = 1 + 27 - 1

a27 = 28 - 1

a27 = 27

So, the 27th term is 27.

We will do the same for the row T.

an = a1 + f × (n-1)

The first number = 2

The common difference (f) = 3

a27 = 2 + 3 × (27-1)

a27 = 2 + 81 - 3

a27 = 83 - 3

a27 = 80

So, the 27th term is 80.

The 20th prize is $4400.

It is a sequence where the difference between each consecutive terms is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

First prize = $12,000

Successive prize worth $400 less than the preceding prize.

Now,

We can make an arithmetic sequence.

12,000, 11,600, 11,200, ...

So,

a = 12,000

d = -400

The nth term of an arithmetic sequence.

= a + (n - 1)d

So,

The 20th prize.

= 12,000 + (20 -1)400

= 12,000 - 19 x 400

= 12,000 - 7600

= 4400

Thus,

20th prize = $4400

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Answer:

x=4-3y

Step-by-step explanation:

The possible coordinates for point B could be (12, 4) if each coordinate increment is 1.

To find the coordinates of point B given that there are 10 equally spaced points between point A and point B, we need to determine the distance between the two points and divide it by 10 to find the increment for each coordinate.

Let's assume the coordinates of point B are (x, y).

The x-coordinate increment would be the difference between the x-coordinates of point B and A divided by 10:

Δx = (xB - xA) / 10

The y-coordinate increment would be the difference between the y-coordinates of point B and A divided by 10:

Δy = (yB - yA) / 10

Substituting the known values:

Δx = (xB - 2) / 10

Δy = (yB - (-3)) / 10

Since we have 10 equally spaced points between A and B, we can calculate the coordinates of point B by multiplying the increments by the number of points from A:

xB = 2 + 10 * Δx

yB = -3 + 10 * Δy

Now we can calculate the possible coordinates for point B using these formulas.

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Brenton would have $330,027.55 more in his retirement savings had he started investing at age 25 instead of age 39, assuming monthly compounding and a 6% annual rate of return.

Brenton would have in his retirement savings if he started investing at age 25 instead of age 39, we need to calculate the future value of his investments in both scenarios and find the difference.

We'll use the formula for the future value of a series of equal payments (annuity) compounded monthly:

\(FV = P * (((1 + r)^nt - 1) / r)\)

Where FV is the future value, P is the monthly payment ($250), r is the monthly interest rate (0.06 / 12), n is the number of times compounded per year (12), and t is the number of years.

Scenario 1 (investing since age 39):
t = 66 - 39 = 27 years

\(FV1 = 250 * (((1 + 0.06/12)^(12*27) - 1) / (0.06/12))\)

FV1 ≈ $292,795.72

Scenario 2 (investing since age 25):

t = 66 - 25 = 41 years

\(FV2 = 250 * (((1 + 0.06/12)^(12*41) - 1) / (0.06/12))\)

FV2 ≈ $622,823.27

Now, find the difference between the two scenarios:

Difference = FV2 - FV1

Difference ≈ $622,823.27 - $292,795.72

Difference ≈ $330,027.55

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The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.

The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.

In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.

Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.

Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:

10 adenine (A) nucleotides (abbreviated as 10a)

15 thymine (T) nucleotides (abbreviated as 15t)

3 guanine (G) nucleotides (abbreviated as 3g)

7 cytosine (C) nucleotides (abbreviated as 7c)

Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.

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Answer:

Simple rules

KCF

keep your denominator

change your numerator

flip one of your fractions

Step-by-step explanation:

:)

Answer:

Problem: 1/4 divided by 1/2

Step 1 : Put it in multiplication format

1/4 * 1/2

Step 2 : Flip the denominator with the numerator of only the second fraction

1/4 * 2/1

Step 3 : Answer

2/4 or 1/2

Step-by-step explanation:

I know

Answer:

∠ ABD = 49°, ∠ CBD = 28°

Step-by-step explanation:

∠ ABD + ∠ CBD = ∠ ABC , substitute values

3x + 22 + 5x - 17 = 77 , that is

8x + 5 = 77 ( subtract 5 from both sides )

8x = 72 ( divide both sides by 8 )

x = 9

Thus

∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°

∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°

Answer:

55°

Step-by-step explanation:

Given parameters:

      Angles in the triangle;

                   70°, X° and X°

The triangle is an isosceles triangle;

  In all triangles, the sum of the interior angles is 180°

  So;

            70° + X° + X° = 180°

            70° + 2X° = 180°

                      2X°  = 180° - 70°

                      2X° = 110°

                        X°  = \(\frac{110}{2}\)  = 55°

Answer:

c

Step-by-step explanation:

The domain and the range of the function are all set of real numbers

The function is given as:

f(x) = 4x + 3

The above function is a linear function

Linear functions have a domain and a range of all set of real numbers

Hence, the domain and the range of the function are all set of real numbers

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The value of angle L is 78°

An arc of a circle is a section of the circumference of the circle between two radii. The measure of an arc is the measure of its central angle.

To find L we need to find measure of arc MN

arc LN is 180°

therefore ;

2x-20 + 8x -20 = 180

10x -40 = 180

10x = 180+40

10x = 220

divide both sides by 10

x = 220/10

x = 22

Therefore arc MN

= 8x -20

= 22 × 8 -20

= 156°

angle L = 1/2 × 156

L = 78°

Therefore the value of angle L is 78°

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176, 264. your welcome!

Answer:

The answer is 4186. 67

Step-by-step explanation:

\(v = \frac{4}{3} \times 3.14 \times {(10)}^{3} \\ v = 4186.66666 \\ v = 4186.67\)

I am a math teacher If you need any explanation you can communicate with me on Whats on this number 01557831028

Step-by-step explanation:

Use the above formula

-5 is the difference between the numbers..

hope you understood..

The probability that the die comes up 3 at least once is approximately 0.598122 or 59.8122%.

Probability is a measure of the likelihood or chance that a specific event or outcome will occur. It quantifies the degree of uncertainty associated with an event and is expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

(a) To calculate the probability that all five rolls are 2, we need to determine the probability of rolling a 2 on a fair six-sided die, and then multiply that probability by itself five times (since each roll is independent).

The probability of rolling a 2 on a fair six-sided die is 1/6. Therefore, the probability that all five rolls are 2 is \((1/6)^5\).

Calculating this probability:

Probability =\((1/6)^5\)

Probability ≈ 0.000128

So, the probability that all five rolls are 2 is approximately 0.000128.

(b) To calculate the probability that the die comes up 3 at least once, we can use the complement rule. The complement of "at least once" is "none," so we can find the probability of not rolling a 3 in any of the five rolls and subtract it from 1.

The probability of not rolling a 3 on a single roll is 5/6. Since each roll is independent, the probability of not rolling a 3 in all five rolls is (5/6)^5.

Calculating this probability:

Probability = \(1 - (5/6)^5\)

Probability ≈ 0.598122

So, the probability that the die comes up 3 at least once is approximately 0.598122 or 59.8122%.

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Samuel must multiply each side length of his original 3x5 photo

A) by 5/2 to enlarge

B) by 2 to enlarge

C) by 3/2 to enlarge

D) by 1

E) by 2/3 to reduce

F) by 1/2 to reduce

G)  by 2/3 to reduce

H)  by 1/5 to reduce

What is the dimension of an object?

In everyday speech, a dimension is a measurement of an object's length, width, and height, such as a box. The idea of dimension in mathematics is an extension of the concepts of one-dimensional lines, two-dimensional planes, and three-dimensional space.

Given the dimension of the original photo is 3x5

A) The size of photo is \(7\frac{1}{2}\) by \(12\frac{1}{2}\).

Convert mixed fraction to improper fraction:

15/2 by 25/2

Now divide the length of the new photo by the length of the original photo is (15/2)/3 = 5/2.

B) The size of the photo is 6 by 10.

Now divide the length of the new photo by the length of the original photo is (6/3) = 2.

C) The size of photo is \(4\frac{1}{2}\) by \(7\frac{1}{2}\).

Convert mixed fraction to improper fraction:

9/2 by 15/2

Now divide the length of the new photo by the length of the original photo is (9/2)/3 = 3/2.

D) The size of the photo is 3 by 5.

Now divide the length of the new photo by the length of the original photo is (3/3) = 1

E) The size of the photo is 2 by \(3\frac{1}{3}\).

Convert mixed fraction to improper fraction:

2 by 10/3

Now divide the length of the new photo by the length of the original photo is 2/3 = 2/3.

F)  The size of photo is \(1\frac{1}{2}\) by \(2\frac{1}{2}\).

Convert mixed fraction to improper fraction:

3/2 by 5/2

Now divide the length of the new photo by the length of the original photo is (3/2)/3 = 1/2.

G) The size of the photo is 1 by \(1\frac{2}{3}\).

Convert mixed fraction to improper fraction:

1 by 5/3

Now divide the length of the new photo by the length of the original photo (1)/3.

H) The size of photo is \(\frac{3}{5}\) by 1.

Now divide the length of the new photo by the length of the original photo is (3/5)/3 = 1/5.

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Step-by-step explanation:

Uh, uh, uh, uh

Day and night (what, what)

I toss and turn, I keep stressing my mind, mind (what, what)

I look for peace but see I don't attain (what, what)

What I need for keeps this silly game we play, play

Now look at this (what, what)

Madness to magnet keeps attracting me, me (what, what)

I try to run but see I'm not that fast (what, what)

I think I'm first but surely finish last, last

'Cause day and night

The lonely stoner seems to free his mind at night

He's all alone somethings will never change

The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night

At, at, at, at, at, at night

Hold the phone (what, what)

The lonely stoner, Mr. Solo Dolo (what, what)

He's on the move can't seem to shake the shade (what, what)

Within his dreams he see's the life he made, made

The pain is deep (what, what)

A silent sleeper you won't hear a peep, peep (what, what)

The girl he wants don't seem to want him to (what, what)

It seems the feelings that she had are through, through

'Cause day and night

The lonely stoner seems to free his mind at night

He's all alone through the day and night

The lonely loner seems to free his mind at night (at, at, at night)

Day and night

The lonely stoner seems to free his mind at night

He's all alone, some things will never change (never change)

The lonely loner seems to free his mind at night (at, at, at night)

Day and night

The lonely stoner seems to free his mind at night

He's all alone somethings will never change

The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night

At, at, at, at, at, at night

At, at, at, at, at, at night

At, at, at, at, at, at night

Using the binomial test, the mean for the number of women struck by lightning in the null distribution is 324.

In the given question,

From the normal approximation to a binomial test:

From 1995 - 2008 in the US 648 people were struck by lightning.

There are 117 of them were women.

We want to see if this observation differs from the null hypothesis, that 50% of people who are hit by lightning would be women, based on the proportion of women in the population as a whole.

We have to find the mean for the number of women struck by lightning in the null distribution.

Total people(n)= 648

Total women= 117

The null hypothesis(P)=50%=50/100=0.50.

So the mean of number of women that struck by lightning in the null distribution.

Mean=n*P

Mean=648*0.50

Mean=324.

Hence, the mean for the number of women struck by lightning in the null distribution is 324.

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Answer:

71/84

Step-by-step explanation:

Answer:

1229/1764,  1231/1764, 179/252,  1255/1754 and 185/252.

Step-by-step explanation:

(5/6)^2 = 25/36

(6/7)^2 = 36/49

LCM of 36 and 49 is 1764

So 25/36 =   25 * 49 / 1764 = 1225/1764

and 36/49  =   36 * 36 / 1764 = 1296/1764

So the 5 rational numbers could be:

1229/1764,  1231/1764, 1253/1764 ( = 179/252),  1255/1764 and 1295/1764 (= 185/ 252).

Answer:

no

Step-by-step explanation:

Answer:

No

Because 5 and 1 have the same output as 1.

The letters for XYZ are in the wrong order.

The correct statement should be \(\triangle TUV \cong \triangle ZYX\)

============================================

Further Explanation:

The order of the letters matters when writing congruence statements.

The claim is that \(\triangle TUV \cong \triangle XYZ\)

The first two letters of each are "TU" and "XY" in that order.

But notice how TU has a single tickmark, while XY has a double tickmark. The two sides are clearly different.

--------

Instead, the statement should be: \(\triangle TUV \cong \triangle ZYX\) because of the following three facts:

Notice that: