MAJOr help !!!!!! How many packs of markers can you buy with $20 if one box of markers costs $3.50

The value of B and C for barium(Ba) is 146 and 56 respectively .

Given,

239/94 Pu + 1/0 n ⇒ B/C Ba + 91/38 Sr + 3 1/0 n

Sum of mass number in reactant side is 239+1=240

Sum of atomic number in reactant side is 94+0=94

so the product side sum of mass number should also be 240 and that of atomic number should be 94 .

So to calculate the mass number of barium,

B + 91 + 3*1 = 240

B = 146

Next to calculate the atomic number,

C + 38 + 3*0 = 94

C = 56

Thus the value of atomic number (C) and mass  number (B) is 56 and 146 respectively .

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Answer:

-11

Step-by-step explanation:

distribute: -8q-7=48-3q

move like terms to other sides of the equal sign: -5q=55

divide 55/-5

you get -11

Answer:

First one, Third one, Fifth one, and the last one too.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, make a ratio:

18 min/ 3mile = 6 min/mile

now multiply to finish the table:

1: 6

3: 18

5: 30

10: 60

25: 150

Answer:

L = 12 inches

Step-by-step explanation:

Given the formula: V = LWH, where V = 7560 in³, W = 12 in., and H = 30 in.

To solve for L:

V = LWH

Divide both sides of the equation by WH to isolate L:

V = LWH

\(\frac{V}{WH} = \frac{LWH}{WH}\)

\(\frac{V}{WH} = L\)

Plug in the given values to solve for L:

\(L = \frac{V}{WH}\)

\(L = \frac{7560}{12(30)} = \frac{7560}{360} = 12\)

Therefore, the length of the suitcase is 12 inches.

The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:

D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.

The mean of the sampling distribution of p is of:

0.388.

The standard deviation of the sampling distribution of p is of:

0.0184.

The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:

As long as these two conditions are respected:

The values of the parameters in this context are given as follows:

N = 30000, n = 700, p = 0.388.

Hence the conditions are:

Then the shape is approximately normal and option D is correct.

The mean of the distribution is of:

\(\mu = p = 0.388\)

The standard error of the distribution is of:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184\)

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Answer:

VX=50

Step-by-step explanation:

VX=\(\frac{1}{2} *UT\) (The straight line joining the mid points of two sides of a triangle is parallel to the third side and equal to half of it.

\(z-41=\frac{1}{2} *z+9\)

\(z-41=z+9/2\)

do cross multiplication

2(z-41)=z+9

2z-82=z+9

2z-z=9+82

z=91

VX=z-41

=91-41

=50

Answer:

250x + 525y ≤ 7800

no, 15 refrigerators and 8 pianos will not fit on the truck

Step-by-step explanation:

we know that x is the refrigerators and each one is 250 lbs

this can be written as 250x

we know that y is the pianos and each one is 525 lbs

this can be written as 525y

we also know that "no more than" is the same that as less than equal to

so this can be written as ≤

we can also say that the refrigerators and pianos has to be ≤ 7800

so now we have: 250x + 525y ≤ 7800

plug in 15 to x and 8 to y

250(15) + 525(8) ≤ 7800

3750 + 4200 ≤ 7800

7950 ≤ 7800

this statement is not true so no, 15 refrigerators and 8 pianos will not fit on the truck

Answer:

r=-1

Step-by-step explanation:

- 3 ( 1 + 6 r ) = 14 - r

-3-18r=14-r

-3-18r+r=14

-3-17r=14

-17r=14+3

-17r=17

r=-1

Answer:

James needs to sell 13 cups of lemonade

Step-by-step explanation:

divide 18 and 9, you get 2. then, divide 26 and 2, and you get 13.

hope this helps, good luck!

a. Approximately 48.32% of high school teachers make between $40,000 and $50,000.

b. Approximately 1.97% of high school teachers make more than $80,000.

What is percentage?

A portion of a whole can be described as a percentage. For instance, the fraction can be written as 0.25, which is the same as 25%.

You must first convert a fraction to decimal form before multiplying it by 100 and adding the sign (%).

We are given that the average annual salary of high school teachers is $43,000 and the standard deviation is $18,000. Let's use this information to answer the following questions:

a. What percentage of high school teachers make between $40,000 and $50,000?

To answer this question, we need to find the z-scores for $40,000 and $50,000 and use the z-table to find the corresponding probabilities. First, we need to standardize the salaries by finding their z-scores:

z1 = (40,000 - 43,000) / 18,000 = -0.17

z2 = (50,000 - 43,000) / 18,000 = 0.39

Using the z-table, we can find the probability of a z-score being between -0.17 and 0.39, which is:

P(-0.17 ≤ Z ≤ 0.39) = 0.4832

Therefore, approximately 48.32% of high school teachers make between $40,000 and $50,000.

b. What percentage of high school teachers make more than $80,000?

To answer this question, we need to find the z-score for $80,000 and use the z-table to find the corresponding probability. First, we need to standardize the salary by finding its z-score:

z = (80,000 - 43,000) / 18,000 = 2.06

Using the z-table, we can find the probability of a z-score being greater than 2.06, which is:

P(Z > 2.06) = 0.0197

Therefore, approximately 1.97% of high school teachers make more than $80,000.

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In a composite transformation as given you make first the transformation in the right and then the transformation in the left.

For the given point: (-7, 3)

1. Rotation 180°

2. Reflection over x-axis:

4times, 2inches occur on the interval 0 < x < 20

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The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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The linear equation representing Mia's situation is y = 3x + 12.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The two points given are - (4,24) and (6,30)

The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.

To find the slope use the formula -

m = (y2 - y1)/(x2 - x1)

m = (30 - 24)/(6 - 4)

m = 6/2

m = 3

So, now the equation becomes - y = 3x + b

To find the y-intercept substitute the equation with x and y values -

24 = 3(4) + b

24 = 12 + b

b = 24 - 12

b = 12

So, now the equation becomes - y = 3x + 12.

Therefore, the linear equation y = 3x + 12.

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A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?

Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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Answer:

No Solutions

Step-by-step explanation:

If you simplify the equation, you would get 30x + 30 = 30x + 40, which if you subtract 30x, you would get 30 = 40, which means that there are no solutions, because no amount for x would balance this equation.

Answer: q = 0, r = 2, s = 3, t = -3 and for the second part its the first graph

Step-by-step explanation: BRAINLIEST PLS

The method to find the inverse of a function is:

Step 1: Put f(x) = y.

Step 2: switch x and y.

Step 3: Solve for y.

The inverse function of g(x) = 2x² - 8 are

f(x) = √(x + 8)/2

d(x) = -√(x + 8)/2

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(x) = 2x² - 8

The inverse function of g(x).

Let g(x) = y.

y = 2x² - 8

Switch x and y.

x = 2y² - 8

Solve for y.

x + 8 = 2y²

(x + 8) / 2 = y²

y = ±√(x + 8)/2

We have two possibilities.

y = +√(x + 8)/2

y = -√(x + 8)/2

For x ≥ 0

y = √(x + 8)/2

For x ≤ 0

y = -√(x + 8)/2

Thus,

The inverse function of g(x) = 2x² - 8.

For x ≥ 0,

f(x) = √(x + 8)/2

For x ≤ 0,

d(x) = -√(x + 8)/2

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The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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Answer:

128 centimeter

Step-by-step explanation:

sana makatulong

The trigonometric expression cos 3x / (sin x · cos x) is equivalent by trigonometric formulas to the trigonometric expression csc x · cos 2x - sec x · sin 2x. (Correct choice: A)

In this problem we find the definition of a trigonometric expression, whose equivalent expression must be found by using algebra properties and trigonometric formulas. First, write the trigonometric function:

cos 3x / (sin x · cos x)

Second, use trigonometric formulas:

cos (x + 2x) / (sin x · cos x)

(cos x · cos 2x - sin x · sin 2x) / (sin x · cos x)

cos 2x / sin x - sin 2x / cos x

csc x · cos 2x - sec x · sin 2x

The equivalent trigonometric expression is csc x · cos 2x - sec x · sin 2x.

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The given statement is correct. If a matrix A is invertible, then it means that it has a unique inverse.

What is the identity matrix?

The identity matrix is a square matrix with 1's on the main diagonal and 0's everywhere else. It is denoted as I. The identity matrix has the property that for any square matrix A, the product of A and I is equal to A itself, so I serve as a sort of "do-nothing" matrix.

Yes, this is correct. If a matrix A is invertible, then it means that it has a unique inverse. This implies that the columns of A are linearly independent, as they form a basis for the space. A row equivalent matrix to the identity matrix (A∼I) will have one pivot in each column, indicating that the columns are linearly independent.

Hence, the given statement is correct. If a matrix A is invertible, then it means that it has a unique inverse.

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Answer:

Step-by-step explanation:

12 frdb

The arc is the product of the angle and radius of the circle. Then the arc length is 7.065 cm.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The central angle of π/2 radians in a circle with a radius of 4.5 cm.

The arc is given as the product of the angle and radius of the circle.

\(\rm Arc \ length = Angle * Radius\\\\\\Arc \ length = \dfrac{\pi}{2} * 4.5\\\\\\Arc \ length = \dfrac{3.14}{2} * 4.5\\\\\\Arc \ length = 7.065\)

The arc length is 7.065 cm.

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The class NP of languages is closed under union, intersection, concatenation, and Kleene star. However, NP is not closed under complement.

The class NP (nondeterministic polynomial time) consists of languages for which a solution can be verified in polynomial time. To prove closure under various operations, we need to show that given two languages A and B in NP, the resulting language obtained by applying the operation (union, intersection, concatenation, or Kleene star) to A and B is also in NP.

For union and intersection, we can construct a nondeterministic Turing machine that can verify solutions for both A and B independently. By combining these machines, we can verify solutions for the union or intersection of A and B. Therefore, NP is closed under union and intersection.

Similarly, for concatenation, we can concatenate the accepting paths of the machines for A and B to form an accepting path for the resulting language. This shows that NP is closed under concatenation.

For Kleene star, we can construct a machine that non-deterministically guesses the number of repetitions needed for the language A and verifies each repetition. Hence, NP is closed under Kleene star.

However, NP is not closed under complement. The complement of a language A consists of all strings that are not in A. While it is possible to verify a solution for A in polynomial time, verifying the absence of a solution (complement of A) would require checking an infinite number of potential solutions, making it outside the scope of NP. Thus, NP is not closed under complement.

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The probability that a randomly selected patient is 0-12 years old given that the patient suffers from ankle pain is 4/7.

Probability is used to determine the likelihood that a random event would happen. The odds that the random event happens has a probability value that lies between 0 and 1. The more likely it is that the event would occur, the closer to one, the probability value would be.

The probability that a randomly selected patient is 0-12 years old given that the patient suffers from ankle pain = number of 0 - 12 that suffer from ankle pain / total number of people that suffer from ankle pain

= 4 / (4 + 3) = 4 / 7

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Question:

According to the behavior of integer division, when an integer is divided by an integer, the result will be a float. True or false?

Answer: False

A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

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Sampling randomly is considered a statistically valid reason for choosing subjects for a study as it reduces the risk of sampling bias. The correct option is a.

Sampling bias refers to a systematic error that occurs in the process of selecting subjects for a study, leading to a sample that is not representative of the population.

By selecting subjects randomly, researchers aim to eliminate any preconceived biases or preferences that may influence the selection process. This leads to a sample that is more representative of the population, providing a more accurate representation of the population's characteristics.

Furthermore, random sampling (with a large sample) has the potential to give a perfect reflection of the population, assuming that the sample size is large enough. This is because, as the sample size increases, the sample becomes more representative of the population and tends to exhibit the same characteristics and distributions as the population.

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