Suppose 30 flour beetles are left undisturbed in a warehouse bin. The beetle populations doubles each week. The function f(x)=30x2^x gives the population after x weeks. How many beetles will there be after 56 days?

The area of the base of the prism is 110 square meters

The formula that is used for calculating the volume of a pentagonal prism is expressed as;

V = Ah

Such that the parameters of the formula are enumerated as;

From the information given, we have that;

Volume of the prism = 880 cubic meters

Height of the prism = 8 inches

Now, substitute the values, we have;

880 = 8(A)

expand the bracket

880 = 8A

Divide both sides by the coefficient, we have;

A = 110 square meters

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The theoretical and experimental probabilities are equal.

Probability determines the likelihood of a random event occurring. The ratio of the number of favorable outcomes to the total number of possible outcomes is known as theoretical probability.

Theoretical probability = number of odd sides/ die sides

Here given that the numbers that are odd comes 6

So,

6/20 = 3/10 theoretical probability

The outcome of an experiment that has been repeated multiple times is used to calculate experimental probability.

Experimental probability = number of times Tani landed on a odd number  divided by the number of times the experiment was performed

6/ 20= 3/10.

Therefore here , both experimental and theoretical probabilities are equal.

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Answer:

41.75

Step-by-step explanation:

I think my math might be wrong

a) The type of test statistic used in this question is denoted by 5 (t-test).b) The calculated test statistic value, rounded to two decimal places, needs to be determined based on the given information.

a) The type of test statistic used in this question is the t-test, indicated by the value 5. The t-test is appropriate when the population standard deviation is known, and the sample size is small.

b) To calculate the test statistic, we use the formula:

test statistic = (sample mean - hypothesized population mean) / (population standard deviation / sqrt(sample size))

Given information:

Sample mean \(\bar{X}\) = 11.87

Hypothesized population mean (μ0) = 5

Population standard deviation (σ) = 1.38

Sample size (n) = 53

Substituting the values into the formula:

test statistic = (11.87 - 5) / (1.38 / sqrt(53))

Calculating the test statistic using the provided values, we find:

test statistic ≈ 28.2030

Rounding the test statistic value to two decimal places, the calculated test statistic is approximately 28.20.

In conclusion, for this question:

a) The type of test statistic used is denoted by 5 (t-test).

b) The calculated test statistic value is approximately 28.20, rounded to two decimal places.

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Answer: The answer is 38%

Diagrams that can convey both data and concepts or ideas are known as infographics.

Diagrams that can convey both data and concepts or ideas are known as "informational graphics" or "infographics". These graphics use visual elements such as charts, graphs, illustrations, maps, and diagrams to convey complex information and ideas in a concise and easy-to-understand way.

Infographics can be used in various fields, including business, education, journalism, and marketing, to present information in a visually appealing and engaging manner.

They are particularly useful when presenting large amounts of data or complex processes and can be designed to cater to different audiences, such as professionals or the general public. Overall, infographics are a powerful tool for communicating information and ideas effectively and efficiently.

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a) Hypothesis test:

Null hypothesis (H0): The percentage of graduate students looking for housing on campus is equal to 15%.

Alternative hypothesis (Ha): The percentage of graduate students looking for housing on campus is greater than 15%.

To test the hypothesis, we can use a one-sample proportion test. We will calculate the test statistic and compare it to the critical value or p-value to make a decision.

The observed proportion of graduate students looking for housing on campus is 78/433 = 0.1804.

Using a significance level (α) of 0.05, we will conduct the test and calculate the test statistic and p-value.

Plan:

Test statistic: z = (p - p) / sqrt(p(1-p)/n)

where p is the observed proportion, p is the hypothesized proportion (0.15), and n is the sample size (433).

Do:

Calculating the test statistic:

z = (0.1804 - 0.15) / sqrt(0.15 * 0.85 / 433)

z ≈ 2.07

Conclude:

Since the test statistic is 2.07, we compare it to the critical value or calculate the p-value.

The critical value for a one-sided test with a significance level of 0.05 is approximately 1.645. Since 2.07 > 1.645, the test statistic falls in the rejection region.

The p-value associated with the test statistic of 2.07 is less than 0.05. Therefore, we reject the null hypothesis.

Based on the survey data, there is evidence to suggest that the percentage of graduate students looking for housing on campus is greater than 15%. The housing office should consider increasing the amount of housing available to graduate students.

b) The p-value obtained in part a) represents the probability of obtaining a test statistic as extreme as the one observed (or more extreme), assuming the null hypothesis is true.

In this case, the p-value is less than 0.05, which suggests strong evidence against the null hypothesis. It indicates that the observed proportion of graduate students looking for housing on campus is significantly higher than the hypothesized proportion of 15%.

c) Including the 21 non-respondents would change the sample size and potentially affect the estimated proportion. If these additional respondents had similar characteristics to the 433 who responded, it is possible that the recommendation might still remain the same.

However, the exact impact depends on the responses of the non-respondents, so it is difficult to determine the precise effect without their data.

d) Type II error in this study would occur if the housing office fails to increase the amount of housing on campus when it is actually necessary (i.e., the percentage of graduate students looking for housing on campus is higher than 15%).

This means the null hypothesis would not be rejected when it should have been. A consequence of this type of error would be the unmet demand for housing, potentially causing dissatisfaction among graduate students and a shortage of available housing options.

e) Type I error in this study would occur if the housing office increases the amount of housing on campus when it is not necessary (i.e., the percentage of graduate students looking for housing on campus is not higher than 15%). This means the null hypothesis would be rejected incorrectly.

A consequence of this type of error would be allocating resources and efforts towards increasing housing capacity unnecessarily, which could result in wastage of resources and potentially impact other areas of the university's operations.

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Answer:

C)

AKA

a= 22/150; b= 14.7%

AKA

a = StartFraction 22 over 150 EndFraction; b = 14.7 percent

__________________________________________________

I am very sorry if this was wrong for you, but it was correct for me.

Brainliest would be apreaciated, but if not thats completley ok.

Sorry I dont have an explaination im not very good at those.

Sorry abt my spelling i know i suck.

And sorry I could not help earlier.

hope it helped :)

Answer: C)

AKA

a= 22/150; b= 14.7%

AKA

a = StartFraction 22 over 150 EndFraction; b = 14.7 percent

Answer:

2y + 18

Step-by-step explanation:

8 + 2(y + 5)

8 + 2y + 10

2y + 18

8+2 (y + 5) = 10 (y+5) = 10y + 50.

We can say that we are 95% confident that the true population mean CO2 level in all homes falls within the calculated interval.

Without the actual data, we cannot provide a specific confidence interval. However, we can provide the general formula for calculating a confidence interval for the population mean.

Assuming a normal distribution of CO2 levels in homes, a 95% confidence interval for the true population mean can be calculated using the following formula:

CI = X ± z*(σ/√n)

Where:

X is the sample mean

z is the critical value from the standard normal distribution corresponding to the desired confidence level (1.96 for 95% confidence interval)

σ is the population standard deviation (unknown, so we use the sample standard deviation as an estimate)

n is the sample size

To interpret the confidence interval, we can say that we are 95% confident that the true population mean CO2 level in all homes falls within the calculated interval.

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Answer:

That's it nothing else?

Step-by-step explanation:

Joey has 12 red ties, and 6 of the red ties have stripes.

We know that 3/8 of the ties are red, and 1/2 of the red ties have stripes.
First, let's find out how many of the ties are red:
Joey has 32 ties, and 3/8 of them are red.
32 × (3/8) = 12 red ties.
Now, let's find out how many of the red ties have stripes:
There are 12 red ties, and 1/2 of them have stripes.
12 × (1/2) = 6 red ties with stripes.
So, Joey has 12 red ties, and 6 of the red ties have stripes.

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We need to find the slope and y-intercept using the table values:

To find the slope take two points and use the slope formula:

P2 (1, 0.75) andP2 (0,0)

So, our slope is 4/3

To find the y-intercept, we set x=0

Now, look at the table when x values 0.

The Point (0,0) is the y-intercept because is when x=0.

Answer:

would be D.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Answer:

8 1/6

Step-by-step explanation:

a. the probability that the sample mean exceeds the population mean by two hours is 0.3085.

b. the probability that the sample mean is more than 3 three hours below the population mean is 0.2266.

c. the probability that the sample man differs from the population mean by more than 4 hours is 0.3174.

d. independent random sample of 10 students is taken. With the increase in the number of observations the sample standard deviation decreases. Therefore the probabilities of (a), (b), and (c) will be lower for the second sample.

What is probability?

Probability is a method of determining how likely something is to happen. Many things can't be known for sure in advance.

What is a normal distribution with a standard deviation?

A probability distribution known as a "normal distribution" is symmetric about the mean and indicates that data that are close to the mean are more likely to occur than data that are far from the mean.

Here we have,

Suppose that the random variable is denoted by x

X∼N(μ,σ)

X∼N(μ,8)

The sample mean will follow a normal distribution with parameters.

x∼N(μ,8/√4)

x∼N(μ,4)

The standard normal variable Z is given by

Z∼N(0,1)

Z = (x−μ)/ (σ/√n)

= (x−μ) / 4

a.

P [(x−μ) > 2] = P [x−μ / (σ /√n)>2/ (σ /√n)]

= P (Z>2/4) = P(Z>0.5)

= 1 − P(Z<0.5) = 0.3085

Now using the standard normal table to calculate the probability

P (Z < 0.5) = 0.6914

1 − P(Z<0.5) = 0.3085

Hence, the probability that the sample mean exceeds the population mean by two hours is 0.3085.

b.

P [(x−μ) < -3] = P [x−μ / (σ /√n)>-3/ (σ /√n)]

= P (Z< -3/4) = P (Z< -0.75)

=  P(Z< -0.75) = 0.2266

Now using the standard normal table to calculate the probability

P (Z< -0.75) = 0.2266

Hence, the probability that the sample mean exceeds the population mean by 3 hours is 0.2266.

c.

P [|x−μ)| > 4] = P ((x−μ) > 4) + P ((x−μ) < −4)

= 1 − P (−4 < (x−μ) < 4)

= 1 − P [−4/ (σ/√n) < (x−μ) / (σ/√n) < 4/ (σ/√n)]

= 1 − P (−1 < Z < 1)

= 1 − [P (Z < 1) − P (Z < −1)]

= 1 − ((0.8413)-(0.1587))

= 0.3174

Now using the standard normal table to calculate the probability

P (Z < 1) = 0.8413

1 − P (Z < -1) = 0.1587

Hence, the probability that the sample mean exceeds the population mean by 4 hours is 0.3174.

d. The independent random sample of 10 students is taken. With the increase in the number of observations the sample standard deviation decreases. Therefore the probabilities of (a), (b), and (c) will be lower for the second sample.

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1000

5 * 2 is 10.

500 * 2 is 1000

Well, the * symbol is another for multiplication.

So, 500 x 2?

1000.

9514 1404 393

Answer:

  -19.2

Step-by-step explanation:

Fill in the given values and do the arithmetic.

  \(\displaystyle x\ \blacksquare\ y=\frac{x}{y}-xy\\\\4\ \blacksquare\ 5=\frac{4}{5}-4\cdot5=0.8-20\\\\\boxed{4\ \blacksquare\ 5=-19.2}\)

Answer:

= 40.5π square inches

Step-by-step explanation:

Oatmeal is packaged in a right circular cylindrical container that has a radius of 1.5 inches and a height of 12 inches. What is the surface area of this container in terms of π?

The formula for the surface Area of a cylinder = 2πr( r + h)

r = 1.5 inches

h = 12 inches

Hence,

2 × π × 1.5( 1.5 + 12)

3π(13.5)

= 40.5π square inches

The surface area of the cylinder is

= 40.5π square inches

Answer:

That is false. -36 is less than -35

Answer:

b 1

Step-by-step explanation:

Answer:

1.48502 × 10²

Step-by-step explanation:

A number expressed in standard form is

a × \(10^{n}\) ( 1 ≤ a < 10 and n is an integer )

Given

148.502 ← express as a number between 1 and 10

1.48502

To obtain the original number we require to multiply by 100 , that is 10²

Thus

148.502 = 1.48502 × 10²

Answer:

\(1.48502 \times {10}^{2} \)

Step-by-step explanation:

To convert to standard form, move the decimal point until there is one digit to the left of the decimal point.

Since the decimal point moves to the left, the exponent value goes up. If the decimal point moves to the right, the exponent value gpes down.

In this case, since the decimal point moves to the left twice, then the exponent goes up by 2.

Hope this helps!

Answer:

3^3 = 27, so C

Please give brainliest :)

Answer:

-2

Step-by-step explanation:

intercept at (0, -2)

Step-by-step explanation:

1 - (-4)³ . 3²

2 -

\( { (\frac{1}{3} })^{5} \)

3- x⁶ . a