Amelia invests money in an account paying simple interest. She invests $100 and no money is added or removed from the investment. After one year, she has $101. What is the simple percent interest per year?

Answer:

-2

Step-by-step explanation:

If we replace all the spots where x is with -3, we get this: (-3)^2 + 5(-3) + 4. Then we get... 9 + -15 + 4 which equals -2

The expected number of correct guesses a contestant will have is 1.4.

We can use the formula for the expected value of a discrete random variable:

E(X) = Σx P(X=x)

where X is the number of correct guesses and P(X=x) is the probability of getting x correct guesses.

Since there are three curtains and the prize changes after every guess, the probability of guessing correctly on any given try is 1/3. Therefore, the probability of getting x correct guesses out of 5 tries is given by the binomial distribution:

P(X=x) = (5 choose x) (1/3)^x (2/3)^(5-x)

Using this formula, we can calculate the probability of getting each possible number of correct guesses:

P(X=0) = (5 choose 0) (1/3)^0 (2/3)^5 = 0.1317

P(X=1) = (5 choose 1) (1/3)^1 (2/3)^4 = 0.3931

P(X=2) = (5 choose 2) (1/3)^2 (2/3)^3 = 0.3285

P(X=3) = (5 choose 3) (1/3)^3 (2/3)^2 = 0.1314

P(X=4) = (5 choose 4) (1/3)^4 (2/3)^1 = 0.0154

P(X=5) = (5 choose 5) (1/3)^5 (2/3)^0 = 0.0001

Now we can use the formula for the expected value:

E(X) = Σx P(X=x) = 0(0.1317) + 1(0.3931) + 2(0.3285) + 3(0.1314) + 4(0.0154) + 5(0.0001) = 1.4

Therefore, the expected number of correct guesses a contestant will have is 1.4, rounded to three decimal places.

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H0: The distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza.

Ha: The distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.

In hypothesis testing, we have a null hypothesis (H0) and an alternative hypothesis (Ha). The null hypothesis represents the claim or assumption we want to test, while the alternative hypothesis represents the opposite or alternative claim.

In this case, the null hypothesis (H0) states that the distribution of lunch preferences is 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place. The alternative hypothesis (Ha) states that the distribution of lunch preferences is not 70% cafeteria, 10% hut, 10% taco wagon, and 10% pizza place.

To test these hypotheses, a random sample of 150 students is selected, and their lunch preferences are recorded. The goal is to determine if the observed distribution of lunch preferences in the sample provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Answer:

1.Triangular Prism

2.Pyramid

3.Triangular Prism

4.Cube

5.Pyramid

6.Pyramid

Step-by-step explanation:

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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Answer:

x<-6

Step-by-step explanation:

-3x>18

Divide by -3, flip the sign since dividing by a negative.

x<-6

Answer:

x < -6

Step-by-step explanation:

Answer:

80 total coins

Answer:

80

Step-by-step explanation:

volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

Answer:

1/4

Step-by-step explanation:

As you see the Total Number of Events = 12

To get a Head Followed by Even Number can be done if

(H2 or H4 or H6) happened which is 3 Possible Ways

So P(Head followed by even number ) = 3/12 = 1/4

The betas and portfolio weights for 3 stocks are given as follows: Portfolio 1: Portfolio 2: Portfolio 3: Calculation:Part 1: Beta of portfolio 1.

Beta of portfolio 1 = (0.4 × 1.2) + (0.3 × 0.9) + (0.3 × 0.8)Beta of portfolio 1 = 0.48 + 0.27 + 0.24 Beta of portfolio 1 = 0.99 Therefore, the beta of portfolio 1 is 0.99.Part 2: Beta of portfolio 2 Beta of portfolio 2 = (0.2 × 1.2) + (0.5 × 0.9) + (0.3 × 0.8)Beta of portfolio 2 = 0.24 + 0.45 + 0.24.

Beta of portfolio 2 = 0.93 Therefore, the beta of portfolio 2 is 0.93 If you are more concerned about risk than return, you should pick portfolio 1 because it has the highest beta value of 0.99, which means it carries more risk than the other portfolios.

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Answer:

x = 0.5, −0.5 i think

Step-by-step explanation:

bc 0.5 x 0.5 is 0.25 and in multiplication 2 negs equal a positive

Answer:

Slope: 1

Step-by-step explanation:

(9,0) and (0, -9)

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

m= (-9 - 0)/ (0 - 9)

m= (-9)/(-9)

m = 1

Answer:

Solution given:

coordinates are

(x1,y1)=(9,0)

(x2,y2)=(0,-9)

we have

Slope =\( \frac{y2 - y1}{x2 - x1} \)

\( = \frac{ - 9 - 0}{0 - 9} \)=1

The slope of a line is 1.

Answer:

C=25m

Step-by-step explanation:

thats the answer

The measure of angle HLK from the circle J is 34°.

Given that, in circle J, the measure of angle HJK is 34°.

The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Here, measure of arc HK =34° (∵∠HJK=34°)

Now, measure of arc HK = ∠HLK=34°

Therefore, the measure of angle HLK from the circle J is 34°.

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The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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Answer: The answer is c, you must divide to see how much packages he can make, and it comes out with 7.5 but you cant rap half a package so it is just 7.

Step-by-step explanation:

To draw the digital circuit corresponding to the expression x(yz' + z), we can break it down into logical operations.

The given expression involves the logical operations of NOT, AND, and OR. In the circuit diagram, we would have three inputs: x, y, and z. Firstly, we need to calculate the complement of z (represented as z') using a NOT gate. The output of the NOT gate would then be connected to one input of the AND gate. The other input of the AND gate would be connected directly to the input y.

The output of the AND gate would be connected to one input of the OR gate. Finally, the input x would be directly connected to the other input of the OR gate. The output of the OR gate would be the result of the expression x(yz' + z).

The circuit would consist of an input x connected directly to an OR gate, while an input y would be connected to one input of an AND gate along with the complement of input z (z') obtained through a NOT gate. The output of the AND gate would be connected to the other input of the OR gate, and the output of the OR gate would represent the result of the given expression x(yz' + z).

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Step-by-step explanation:

the graphic tells us that AOB = COD.

that means

4x - 2 = 2x + 12

2x = 14

x = 7

so,

AOB = 4x - 2 = 4×7 - 2 = 28 - 2 = 26°

BOC = 5x + 15 = 5×7 + 15 = 35 + 15 = 50°

COD = 2x + 12 = 2×7 + 12 = 14 + 12 = 26° (as expected)

Answer:

The answer is d. Hope this helps :D

Please mark brainliest!

Answer:

D

Step-by-step explanation:

Becuase You add 600+80+4 and you'll get 684

Answer:

26 and -15

Step-by-step explanation:

the expectation of buying one ticket is $2

Expectation if a person buys one ticket A person is interested in buying a ticket for a lottery that offers one $1000 prize, one $500 prize, and five $100 prizes. One thousand tickets are sold at $3 each. The expected return is calculated using the following formula:

Expectation = (Probability of winning Prize 1 × Value of Prize 1) + (Probability of winning Prize 2 × Value of Prize 2) + (Probability of winning Prize 3 × Value of Prize 3)To determine the expectation, we must first determine the probability of winning each of the three prizes.

Since one thousand tickets are sold and only one person can win the first prize, the probability of winning the $1000 prize is 1/1000 or 0.001. Similarly, the probability of winning the $500 prize is 1/1000 or 0.001. Since five $100 prizes are available and only one person can win each prize, the probability of winning any one of the five $100 prizes is 5/1000 or 0.005.

Therefore, the expectation is calculated as follows: Expectation = (0.001 × $1000) + (0.001 × $500) + (0.005 × $100)Expectation = $1 + $0.50 + $0.50Expectation = $2Thus, the expectation of buying one ticket is $2. This means that the average value of a ticket is $2, and a person can expect to win $2 on average by purchasing a ticket. Since the cost of a ticket is $3, the expected return is less than the cost of the ticket, and therefore, it is not a good investment from a financial standpoint.

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Answer:

I'm pretty sure that this is the answer 41 square root

The false statement among the given options is statement iv: "The sample means calculated from the samples of size 10 give a biased estimate of the true population mean compared with those from the samples of size 100."

Statements i, ii, and iii are true:
i. Each of the means calculated from the samples of size 100 is an unbiased estimate of the population mean. This is true because unbiased estimates are obtained when the sample mean is equal to the population mean on average.
ii. The standard deviation of the means calculated from the samples of size 10 is likely to be larger than the standard deviation of the means calculated from the samples of size 100. This is true because larger sample sizes tend to provide more precise estimates, resulting in smaller variability or standard deviation.
iii. Each of the means calculated from the samples of size 10 is an unbiased estimate of the population mean. This is true because unbiasedness is not dependent on sample size but on the sampling method itself.

Statement iv is false because the sample means calculated from samples of size 10 are unbiased estimates of the population mean, just like those calculated from samples of size 100. Unbiasedness is not influenced by sample size, but rather by the sampling method. The only difference is that the standard deviation of the means calculated from the samples of size 10 is expected to be larger than the standard deviation of the means calculated from the samples of size 100, as mentioned in statement ii.

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Answer:

C.    Student C, who is paid $290 for 20 hours of work

Step-by-step explanation:

What we know:

    - Student A ( 164.50 = 14 hours )

    - Student B ( 162.00 = 12 hours

    - Student C ( 14.50h = p )

What we need to figure out:

    - How much each person makes per hour ( Pt.1 )

    - Who will make the most in 20 hours ( Pt.2 )

How to execute:

    - Divide for A & B

    - Convert for C

    - Multiply for all

Step 1: Divide the total pay by the hours for A & B

Student A:   164.50 ÷ 14 = 11.75 per hour ( Found PT.1 )

Student B:    162.00 ÷ 12 = 13.50 per hour ( Found PT.1 )

Step 2: Convert C so that it looks like A & B

Student C:    14.5(h) = p  --->   p ÷ h =   14.5 per hour ( Found PT.1 )

Step 3: Multiply the hourly rate by the 20 hours

Student A:   11.75 × 20 = 235 for 20 hours      ( Found PT.2 )

Student B:   13.50 × 20 = 270 for 20 hours     ( Found PT.2 )

Student C:   14.50 × 20 = 290 for 20 hours     ( Found PT.2 )

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I saw the comment about not being able to mark the other person brainliest because no one else answered. I'm here to fix that. Also, the answer is C.

Answer:

B

Step-by-step explanation:

The rectangular fish tank will hold 180000 cm³ volume of water for the dimensions 90, 50 and 40. The tank contains 180000 mL or 180 liters of water.

a) To find the volume of the rectangular fish tank, you need to multiply its length, width, and height. The formula for volume is V = l * w * h, where V is the volume, l is the length, w is the width, and h is the height.

In this case, the dimensions are:
l = 90 cm
w = 50 cm
h = 40 cm

Now, apply the formula:
V = 90 cm * 50 cm * 40 cm
V = 180000 cubic centimeters
The tank will hold 180000 cm³ of water.

b) Since 1 cubic centimeter (cm³) holds 1 milliliter (mL) of liquid, the tank will hold the same amount in milliliters as it does in cubic centimeters. Therefore, the tank will hold 180000 mL of liquid.

c) To convert the volume from milliliters to liters, you need to divide the value by 1000, as 1 liter (L) equals 1000 milliliters (mL).

180000 mL ÷ 1000 = 180 L

The tank will hold 180 liters of water.

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Answer:

- Both are quadrilaterals.

- Both have two pairs of side of equal length.

I hope my answer helps you.

Answer: 2 pairs of congruent sides

Hope this helps!

have a nice day!

There are several rationales for avoiding the pooled two-sampled t procedures for inferences. Here are a few:In certain cases, the assumption of equal population variances may be wrong, causing the pooled t procedures to yield unreliable results.

In case the assumption of equal population variances is violated, Welch's t-test is more powerful than the pooled t-test.If the sample sizes of the two groups being compared are significantly unequal, the pooled t-test can produce misleading results, and Welch's t-test should be used instead.Therefore, the rationale for avoiding the pooled two-sampled t procedures for inferences is that the assumption of equal population variances might be inaccurate, causing unreliable and less efficient results.When comparing two population means, a two-sample t-test is commonly used. The pooled two-sample t-test is one of the most widely utilized methods for comparing means. It assumes that the two populations have equal variance, and it has been shown to be quite reliable when this assumption is valid.However, if the populations have unequal variances, this assumption can be incorrect, and the pooled t-test can yield unreliable results. If the population variances are not equal, the Welch's t-test is often used. It does not assume equal variances and is more powerful when this assumption is not met. When comparing two groups with different sample sizes, the t-test may produce misleading results if the variances are unequal. In this situation, Welch's t-test is used because it is more accurate and effective in these circumstances.

Thus, if we don't know if the variances of the populations are equal, we should avoid using the pooled t-test and instead use Welch's t-test, which is more powerful and does not require the equal variance assumption.

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The probability that the individual likes both vehicle #1 and vehicle #2 is 0.40.

The probability that the individual liked at least one of the other two vehicles, given that he/she did not like vehicle #1, is approximately 1.044.

a. To find the probability that the individual likes both vehicle #1 and vehicle #2, we need to calculate the intersection of events a1 and a2, denoted as a1 ∩ a2.

p(a1 ∩ a2) = p(a1) + p(a2) - p(a1 ∪ a2)

= 0.55 + 0.65 - 0.80

= 0.40

b. The probability of the union of events a2 and a3, denoted as a2 ∪ a3, can be calculated as:

p(a2 ∪ a3) = p(a2) + p(a3) - p(a2 ∩ a3)

= 0.65 + 0.70 - 0.88

= 0.47

The interpretation of p(a2 ∪ a3) is the probability that the individual likes either vehicle #2 or vehicle #3 (or both).

c. Two events, a2 and a3, are independent if the occurrence of one event does not affect the probability of the other event. We can determine independence in two ways:

Check if p(a2 ∩ a3) = p(a2) * p(a3)

If p(a2 ∩ a3) = 0.40 and p(a2) * p(a3) = 0.65 * 0.70 = 0.455, since these values are not equal, events a2 and a3 are not independent.

Check if p(a2 | a3) = p(a2)

If the probability of event a2 given that event a3 has occurred is equal to the probability of event a2, then the events are independent. However, this information is not provided in the given data, so we cannot determine independence based on this criterion.

Therefore, events a2 and a3 are not independent.

d. If we know that the individual did not like vehicle #1, we are interested in finding the probability that he/she liked at least one of the other two vehicles. This can be represented by the event a2 ∪ a3.

To calculate this probability, we can use the formula:

p(a2 ∪ a3 | not a1) = p(a2 ∪ a3) / (1 - p(a1))

= 0.47 / (1 - 0.55)

= 0.47 / 0.45

≈ 1.044

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