a church offering last sunday was $6,500.one year ago it was $4,800.last sunday's offering is what percent of the one a year ago?round to the nereast percent

Answer:

5

Step-by-step explanation:

g(x) = 2 - 3x

g(-1) = 2 - 3(-1)

g(-1) = 2 + 3

g(-1) = 5

The probability of choosing a person at random who is a junior and plays video games is of:

0.32 = 32%.

These are non-independent events.

A probability in the context of a problem is given by the division of the number of desired outcomes by the number of total outcomes.

For the probability in the context of this problem, the outcomes are given as follows:

Hence the probability is of:

p = 48/150 = 0.32 = 32%.

The probability of being a junior is of:

60/150 = 6/15.

The probability of playing videogames is of:

99/150

The multiplication of these probabilities is of:

6/15 x 99/150 = 0.264.

Different than 0.32, hence these two events are not independent.

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The system of equations that models the situation at the football game is:

Equation 1: 4p + 2s = 260 ,Equation 2: s = 3p + 5

In the first equation, 4p represents the total revenue from pizzas sold (since each pizza costs $4) and 2s represents the total revenue from sodas sold (since each soda costs $2). The sum of these two revenue values should equal $260, which is the total revenue made by the booster club.

In the second equation, s represents the number of sodas sold, and it is stated that the number of sodas sold was 5 more than three times the number of pizzas sold. Therefore, the equation s = 3p + 5 expresses this relationship.

By setting up and solving this system of equations, you can determine the values of p and s, representing the number of pizzas and sodas sold, respectively, at the football game.

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Therefore, the probability that it will be raining at the end of time is 37.5%.

A) To describe the transition matrix, we can use the following notation: R = It will rain N = It will not rain

Since it is given that if it rained yesterday, then there is a 60% chance of rain today, and if it did not rain yesterday there is an 85% chance of no rain today.

Thus, the transition matrix would be as follows:| P(R/R)  P(N/R)| P(R/N)  P(N/N)| = |0.6  0.4| |0.15  0.85|

B) If it rained Monday, then we need to find the probability that it will rain Wednesday.

We can find this by multiplying the probability of rain on Wednesday given that it rained on Monday and the probability that it rained on Monday.

Thus, the probability of rain on Wednesday, given that it rained on Monday would be:0.6 x 0.6 = 0.36So, there is a 36% chance that it will rain on Wednesday given that it rained on Monday.

C) If it did not rain Friday, then we need to find the probability of rain on Monday. Using Bayes' theorem, we can write: P(R/M) = P(M/R)P(R)/[P(M/R)P(R) + P(M/N)P(N)]where, M = It did not rain Friday= 0.15 (from the transition matrix)P(R) = Probability of rain = 0.6 (given in the problem)P(N) = Probability of no rain = 0.4 (calculated from 1 - P(R))P(M/R) = Probability of it not raining on Friday given that it rained on Thursday = 0.4P(M/N) = Probability of it not raining on Friday given that it did not rain on Thursday = 0.85Substituting these values, we get: P(R/M) = 0.4 x 0.6/[0.4 x 0.6 + 0.85 x 0.4] = 0.31 So, there is a 31% chance of rain on Monday given that it did not rain on Friday.

D) The steady-state vector is the vector that describes the probabilities of being in each of the states in the long run. To find the steady-state vector, we need to solve the following equation: πP = πwhere,π = steady-state vector P = transition matrix Substituting the values from the transition matrix, we get:| π(R)  π(N)| |0.6  0.4| = | π(R)  π(N)| | π(R)  π(N)| |0.15  0.85| | π(R)  π(N)|

Simplifying this, we get the following two equations:π(R) x 0.6 + π(N) x 0.15 = π(R)π(R) x 0.4 + π(N) x 0.85 = π(N) Solving these equations, we get: π(R) = 0.375π(N) = 0.625So, the steady-state vector is:| π(R)  π(N)| = |0.375  0.625|This means that in the long run, there is a 37.5% chance of rain and a 62.5% chance of no rain.

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Answer:

E. 2,850 ft²

Step-by-step explanation:

Answer:

OptionE)

Step-by-step explanation:

Area of a circle = \(\pi r^{2}\)

\(3.14X30X30\)

= \(2826\)

Hence the closest is 2,850

Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

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Answer: B. 14 units

Step-by-step explanation:

Answer:

it’s not 14 units, that’s all i know

Step-by-step explanation:

got it wrong on ap3x

Answer:

To show your work for this question, I would analyze the data presented in the graphs. I would look at the pie chart for week one and week two to determine the percentage of sales for each drink. From there, I would compare the percentages to see which statement is true. For statement A, I would look at the total percentage of Cherry Cola sales over the two weeks. For statement B, I would compare the percentage of Diet Cola sales from week one to week two. For statement C, I would look at the percentage of Lemon-Lime sales in week two. Based on this analysis, I would select the statement that is true, which is either A, B, C, or none of the above.

Answer:

Examin the chart and explain how you got your answer thats all i know

Answer:

Step-by-step explanation:

Pertains to y-intercept is then 0.

It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)

Answer:

Step-by-step explanation:

1 Factor out the common term 33.

3(y-x)=4.

3(y−x)=4.

2 Divide both sides by 33.

y-x=\frac{4.}{3}

y−x=

3

4.

​

3 Subtract yy from both sides.

-x=\frac{4.}{3}-y

−x=

3

4.

​

−y

4 Multiply both sides by -1−1.

x=-\frac{4.}{3}+y

x=−

3

4.

​

+y

5 Regroup terms.

x=y-\frac{4.}{3}

x=y−

3

4.

​

Answer:

\(2,000lb < 1 t\)

Step-by-step explanation:

1 Ton = 2,240 lb

If segment RT is the midsegment of AQSU and RT = 47, then QU is equal to 94.

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is an essential tool in solving various problems related to triangles, including the one presented in this question.

In this problem, we are given that segment RT is the midsegment of AQSU. This means that RT connects the midpoints of two sides of the triangle AQSU. Let us denote the midpoint of AU as M and the midpoint of QS as N. Then, we can say that RT is equal to MN.

We are also given that RT = 47. Therefore, we can conclude that MN = 47.

Now, we can use the concept of midsegments to find the length of QU. Since RT is the midsegment, it is parallel to the third side of the triangle, QS. Therefore, we can use the midpoint theorem, which states that a line segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.

Using this theorem, we can say that MN is parallel to QS and half its length. Therefore, QU is twice the length of MN, which is 2 x 47 = 94.

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Answer:

The answer is 2.

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

(x+2)(x+4)

=x(x+4)+2(x+4)

=x²+4x+2x+8

=x²+6x+8

Answer and Step-by-step explanation: The described right triangle is in the attachment.

As it is shown, AC is the hypotenuse and BC and AB are the sides, so use Pytagorean Theorem to find the unknown measure:

AC² = AB² + BC²

\(AB^{2} = AC^{2}-BC^{2}\)

\(AB =\sqrt{AC^{2}-BC^{2}}\)

\(AB =\sqrt{7^{2}-4.5^{2}}\)

\(AB =\sqrt{28.75}\)

AB = 5.4

Then, right triangle ABC measures:

AB = 5.4cm

BC = 4.5cm

AC = 7cm

0.05, fail to reject null hypothesis..

What is hypothesis in math

A proposition is considered to be a hypothesis if it is plausible given the available information but has not been proven true or wrong.

                  A statement on which hypothesis testing will be based is referred to as a hypothesis in statistics (also known as a statistical hypothesis).

Below are the null and alternative Hypothesis,

Null Hypothesis: μ = 9.2

Alternative Hypothesis: μ ≠ 9.2

Test statistic,

t = (xbar - mu)/(s/sqrt(n))

t = (8.25 - 9.2)/(5.1478/sqrt(8))

t = -0.522

P-value Approach

P-value = 0.6178

As P-value >= 0.05, fail to reject null hypothesis..

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Answer:

x= -5, 2

Step-by-step explanation:

set them equal to each other: \(x^{2}+5x-9=2x+1\)

subtract 2x from both sides: \(x^{2} +3x-9=1\)

subtract 1 from both sides to make it equal to zero: \(x^{2} +3x-10=0\)

find which 2 factors of -10 equal 3: 5 and -2

plug it into: \((x +?)\):  \((x+5) (x -2)\)

set both equations to zero: \(x +5=0\)         \(x-2=0\)

solve:  {x| x=-5, 2}

Answer:

There you go! Have a good day

Answer:

A = 1/2 width × height

width = n + 3 cm

height = width - 9 cm

height = n + 3cm - 9cm

height = n - 6cm

A = 1/2 width × height

= 1/2 (n + 3cm) × (n - 6cm)

45cm^2 ×2 = n^2 - 3ncm - 18cm^2

n^2 - 3ncm - 18cm^2 - 90cm^2 = 0

n^2 - 3ncm - 108cm^2 = 0

Find two numbers that their sum is -3 and their product is 108. Therefore, the numbers could be -12 and 9

n^2 - 3ncm - 108cm^2 = 0

n^2 - 12ncm + 9ncm - 108cm^2 = 0

n(n - 12cm) + 9cm(n - 12cm) = 0

(n - 12cm) (n + 9cm) = 0

Either (n - 12cm) = 0 or (n + 9cm) = 0

n = 12cm or n = -9cm

but n = -9cm is invalid because there is no negative distance.

n = 12cm is the answer

there is no smallest positive value of p that satisfies the equation for all values of x ∈ [0, 2π]. The equation cos(psinx) = sin(pcosx) does not have a unique solution within the given interval.

To find the smallest positive value of p that satisfies the equation cos(psinx) = sin(pcosx), we need to analyze the behavior of the cosine and sine functions within the given interval [0, 2π].

First, we note that both the cosine and sine functions oscillate between -1 and 1. The equation implies that the cosine of psinx is equal to the sine of pcosx. In order for this equality to hold true, the arguments of the cosine and sine functions must be equal, or their values must differ by a multiple of 2π.

To find the smallest positive value of p, we consider the smallest possible difference between the arguments of the cosine and sine functions. Since the difference can be expressed as psinx - pcosx = 2πn, where n is an integer, we aim to find the smallest positive p that satisfies this equation.

By analyzing the behavior of the sine and cosine functions, we observe that the smallest possible difference between the arguments occurs when sinx and cosx are both equal to 1, resulting in p - p = 2πn. Simplifying this equation gives 0 = 2πn, which holds true for any value of n.

Therefore, there is no smallest positive value of p that satisfies the equation for all values of x ∈ [0, 2π]. The equation cos(psinx) = sin(pcosx) does not have a unique solution within the given interval.

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Answer:

1: So one side is 5

2: Other side is 2

Step-by-step explanation:

1)

4(x+3)+4x=28

Solve

4x+12+4x=28

Combine

8x+12=28

Isolate

8x=16

Isolate

x=2

Substitute

4(2+3)=20

4*2=8

Now find each side

20/4=5

8/4=2

Answer: x=-1, y= -3

Step-by-step explanation:

1.substitute y for -3

[2x-(-3)=1]

2.simplify

[2x+3=1]

3. Isolate x for 2x+3

x= -1,y=-3

It is plausible to assume that the die is fair because there is a 3% possibility that a loaded die might randomly yield the outcomes that we saw.

The appropriate conclusion is that there is a 3% chance that a loaded die could randomly produce the results we observed. We tested this hypothesis by rolling the die 200 times and our p-value turned out to be 0.03. This means that there is only a 3% chance that the results we observed could have been produced randomly by a loaded die, so it is reasonable to conclude that the die is fair. This is because a p-value of 0.03 is considered to be statistically significant, which indicates that the results we observed are unlikely to have been due to chance. Therefore, we can conclude that the seller's claim that the die will favor the outcome 6 is likely false.

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Data:

Loan=$278 at 10%

A simple interest is calculated for payments on the initial capital.

If the total interest was $174.12.

If the interest is on a year. You calculated the interes of one year. The 10% of $278:

In a year the interest is $27.8.

Then, $174.12 divided into $27.8 is the number of years of the loan:

Answer:

42

Step-by-step explanation:

Answer: you spent 63

Step-by-step explanation:

The dependent variable represented on the graph is the Total Cost

From the question, we have the following parameters that can be used in our computation:

As a general rule:

The variable represented on the y-axis is the dependent variable

From the given parameters, we have

This means that

y-axis = Dependent variable

This can also be expressed as

Dependent variable = Total Cost

This means that the dependent variable is Total Cost

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Answer:

Finding the exact volume is physically impossible, however, you can find a rough estimate by calculating side lengths and that stuff

Step-by-step explanation:

Answer:

B got a 100 on my final

Step-by-step explanation:

The exponential function is given by N=4(2)ˣ

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here: A particular type of cell doubles every hour and initially there were 4

let x be the number of hours then we have the exponential function

N= 4×2ˣ

Now for x=0 hours we have

N=4

which is the initial amount

similarly for x=1 we have

N=4×2

 =8 which is double from the initial amount in hour

Thus the function that can describe the relationship is N=4(2)ˣ

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The calculating z-score is:

\($$z = \frac{x - \mu}{\sigma}$$\)

Where x is the value of the variable, μ is the mean of the distribution and σ is the standard deviation of the distribution. Now, given that a variable \(x\) is normally distributed with a mean.

\(\(\mu = 21\)\)

And standard deviation.

\(\(\sigma = 6\).\)

We need to determine the z-score for

\(\(x = 28\).\)

Thus, putting all the values in the formula, we get:

\($$z = \frac{x - \mu}{\sigma}$$$$z = \frac{28 - 21}{6}$$$$z = 1.17$$\)

Therefore, the z-score for

\(\(x = 28\) is 1.17.\)

There

\($$P(z > 1.17) = 1 - P(z < 1.17)$$$$\\)

Right arrow

\(P(x > 28) = 1 - 0.8790 = 0.1210$$\)

Hence, the probability of \(x\) being greater than 28 is 0.1210.

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