Find the volume, in cubic feet, of the solid with the regular base to the nearest tenth.

Answer:

Reject H₀ if: \(\bar x<100\) or \(t_{calc.}<t_{0.05, 24}\).

Step-by-step explanation:

The hypothesis for the one-tail t-test is:

H₀: The population mean is 100, i.e. μ = 100.

Hₐ: The population mean is less than 100, i.e. μ < 100.

The significance level of the test is, α = 0.05.

The number of observations in the sample is, n = 25.

The degrees of freedom of the test is:

df = n - 1

   = 25 - 1

   = 24

Compute the critical value of t as follows:

\(t_{\alpha, (n-1)}=t_{0.05, 24}=1.711\)

*Use a t-table.

The rejection region can be defined as follows:

Reject H₀ if: \(\bar x<100\) or \(t_{calc.}<t_{0.05, 24}\).

Answer:

40m² + 57mn - 27n²

Step-by-step explanation:

(8m - 3n)(5m + 9n)

each term in the second factor is multiplied by each term in the first factor, that is

8m(5m + 9n) - 3n(5m + 9n) ← distribute both parenthesis

= 40m² + 72mn - 15mn - 27n² ← collect like terms

= 40m² + 57mn - 27n²

Answer:

726

Step-by-step explanation:

Used a calculator ¯\_(ツ)_/¯

Answer:726

Step-by-step explanation: Calculator

Based on the angle of inclination and the distance up the side of the mountain, the height of the top of the mountain is 2,619 m.

What is the height of the mountain?

The Sin formula can be used here.

For the first lift, the Sin formula shows:

Mountain height till first lift / Distance traveled = Sin (angle of inclination)

Mountain height / 2,200 = Sin 48°

Mountain height first lift = 2,200 x Sin 48°

The second lift:

Mountain height second lift = 1,500 x Sin 41°

The total height is:

= (2,200 x Sin 48°) + (1,500 x Sin 41°)

= 2,619 meters

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Answer:

I believe it is 12, but I'm not sure.

Step-by-step explanation:

If there is 2 of the first hose, then it can fill the pool twice as fast, so thats 6 hours. (12 divided by 2 = 6).

If the second hose takes 6 hours more than that, then that would be 12 hours.(6+6=12)

a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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Solution:

The side length of the hexagonal base is

The height of the pyramid is

To build the pyramid, we will have the image below

PART B:

To calculate the area of the hexagonal pyramid, we will use the formula below

By substituting the values, we will have

Hence,

The area of the hexagonal based pyramid is

Answer:

73

Step-by-step explanation:

so basically this process is rather easy, okay what u have to do is find the area but since u cant u just have to try your best and go over the answer with a friend, oh you have none? Sorry for assuming, so just ask siri if you have 0 friends, the formula should look a little like this:

A=l*w or A=b*h

which than u would have to add up the circumference (sorry for not mentioning that earlier) so the new formula would be a little like this

A+C=

than thats your answer (it should be 12.)

Answer:

-4j + 3 or 3 - 4j

Step-by-step explanation:

you can combine the terms in any order that you want, but i'm going to begin with the j terms.

first, identify the like terms.

-6j + 4 + 2j - 1

then combine the like terms.

-6j + 2j = -4j

now identify the next set of like terms.

-6j + 4 + 2j - 1

combine those like terms.

4 - 1 = 3

after combining the first set of like terms, you're left with: -4j

after combining the second set of like terms, you're left with: 3

therefore the simplified expression is -4j + 3 or 3 - 4j. rearranging those terms doesn't change the answer, so it doesn't matter what order you write it in.

i hope this helps!! have a great rest of your day :)

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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Answer:

\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)

Step-by-step explanation:

To calculate the margin of error for the survey, we need to use the formula:

\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

\(\large \text{Range of values = 32\% - 22\% = 10\%}\)

Substituting this value into the formula, we get:

\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)

Therefore, the margin of error on the survey is 5%.

heightAnswer:

12

Step-by-step explanation:

(x representing the smallest size)

x + 4x = 60

5x = 60

x = 12

the height is 12

to confirm:

12 x 4 = 48

48 + 12 = 60

We need a sample size of at least 154 subjects to estimate the mean HDL cholesterol within 3 points with 95% confidence.

Dcreasing the confidence level from 99% to 95% reduces the required sample size. This is because a higher confidence level requires a larger z-value, which increases the sample size needed to achieve the desired margin of error.

The standard deviation is a measure of the amount of variation or dispersion of a set of data values. It is calculated as the square root of the variance, which is the average squared difference between each value and the mean.

The mean is a measure of central tendency that represents the average value of a set of data. It is calculated by summing up all the values in the set and dividing by the number of values.

According to the given information:

To estimate the required sample size, we can use the formula:

n = (z-value)² × s² / E²

where:

z-value = the z-score corresponding to the desired level of confidence

s = the population standard deviation (given as 14)

E = the desired margin of error (3 points)

For a 99% confidence level, the z-value is 2.576 (obtained from a standard normal distribution table). Plugging in the given values, we get:

n = (2.576)² × 14² / 3²

n = 267.89

We need a sample size of at least 268 subjects to estimate the mean HDL cholesterol within 3 points with 99% confidence.

For 95% confidence, the z-value is 1.96. Using the same formula, we get:

n = (1.96)² × 14² / 3²

n = 153.44

We need a sample size of at least 154 subjects to estimate the mean HDL cholesterol within 3 points with 95% confidence.

As we can see, decreasing the confidence level from 99% to 95% reduces the required sample size. This is because a higher confidence level requires a larger z-value, which increases the sample size needed to achieve the desired margin of error.

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Answer:

= 6 items per hour

Explanation:

This is a fraction equal to 18 items ÷ 3 hours

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 3

18 items ÷ 3

3 hours ÷ 3

= 6 items/1 hour

= 6 items/hour

= 6 items per hour

The rate of car is 35 mph.

Given that engineer traveled 140 mi by car and then an additional 750 mi by plane. The rate of the plane was three times the rate of the car.

Let c be the rate of wind.

215 + c = rate of plane with wind

215 - c = rate of plane against wind

Therefore, the travel time =distance/rate

⇒ 750/(215+c) = 540/(215-c)

Cross multiplying we get,

540(215+c) = 750(215-c)

116100+540c = 161250-750c

1290c = 45150

c=35

Hence, the rate of car is 35 mph.

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Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

Answer:

20

Step-by-step explanation:

Given that:

Number of SUVs maintained, m = 50

The interarrival time for an SUV "a" = 2.4 hours

The standard deviation  = 2.4 hours

Activity time p = 3 days = (24 × 3) hours = 72 hours

Standard deviation of activity time = 1 day = 24 hours

The objective is to calculate the average number of SUVs parked in the company's lot from above.

To determine that, we need to first find the utilization rate "u" by using the formula:

Utilization \(u = \dfrac{P}{a \times m}\)

\(u = \dfrac{72}{2.4 \times 50}\)

u = 0.6

u = 60%

Thus, the average number of SUVs parked in the lot can be estimated as:

The average number of SUVs = 50 - (60% × 50)

The average number of SUVs = 50 - 30

The average number of SUVs= 20

Thus, the avg. number of SUVs parked in the company's lot = 20

Answer: Rational

Step-by-step explanation: Only numbers that go on infinitely like pi or the square root of 7 are irrational

Im not sure, but i thinks its 240

Answer:7/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means is given by the formula:

standard deviation = population standard deviation / sqrt(sample size)

Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:

standard deviation = 0.8 / sqrt(38)

standard deviation ≈ 0.13

Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.

Answer:

answer

Step-by-step explanation:

angle B=63

AC=23.5

AB=26.4

Answer: For this equation, the value of x is - 2/3.

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

x = -4/6 = - 2/3 (Simplifying)

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

It means the value of -2/3 for x is correct

Answer:

\(x=-\frac{41}{60}\)

Step-by-step explanation:

\(Grou. similar.terms:\\\frac{3}{4} -4x+\frac{7}{2} = -9x+\frac{5}{6} \\Find LCM (Lest Common Multiplier) and adjsut:\\\)

\(-4x+\frac{3+14}{4} =-9x+\frac{5}{6} \\\\Subtract\\-4x+\frac{17}{4} - \frac{17}{4} =-9x+\frac{5}{6} - \frac{17}{4}\\After simplifying add\\-4x + 9x =-9x- \frac{41}{12} + 9x\\Simplify\\5x = - \frac{41}{12}\\Divide\\\frac{5x}{5} = \frac{-\frac{41}{12}}{5} \\Simplify.one.last.time\\x=-\frac{41}{60}\)

Don't forget the - in front of the answer

Area = 0.785

Area=0.79

I hope it helps

9514 1404 393

Answer:

  Syed

Step-by-step explanation:

Expressed as decimal numbers, the portions read were ...

Syed read the most.

The students corresponding to those 200 numbers would beasked to participate in the survey.

What is corresponding ?

Having or participating in the same relationship (such as kind, degree, position, correspondence, or function) especially with regard to the same or like wholes (such as geometric figures or sets) corresponding parts of similar triangles. : related, accompanying.

Have given,

a) The administrators could number an alphabetical list of students from 1 to 2,500.Then use a random number generator from a calculator or computer to generate 200 unique random numbers from 1 to2,500.(if you don’t say “unique”, then say “ignoring repeats”)The students corresponding to those 200 numbers would beasked to participate in the survey.

b) One advantage is that stratified random sampling guarantees that each of the school-level strata will have some representation, because it is possible that a simple random sample would miss one or more of the strata completely.(NOTE: It is NOT sufficient to say that a stratified sample “makes it MORELIKELY that all school-levels are represented in the sample”… the student must state that stratifying by school level GUARANTEES or ENSURES that all school levels are represented in the sample.)

The students corresponding to those 200 numbers would beasked to participate in the survey.

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Answer:

The answer is 100% B

Step-by-step explanation:

I took the test

Step-by-step explanation:

The following configurations are evaluated, as given or stated within the interrogate:

P(Q) = 0.6

P(R) = 0.9

When the variable constant of Q and R transition into independent events within the function notation, the product of the individual values, as equated to those particular independent variables, is required.

For example:

If P(Q) = 0.6 and P(R) = 0.9, and Q and R fuse, then find the product of 0.9 and 0.6 is obligated:

0.9 * 0.6 = 0.54

Thus, given the independent events, P(Q and R) is equivalent to 0.54.

ASK YOUR SIR BRO I DONT KNOW

According to the table the probability of the team Q scored in the first five minutes of the game is 3.55%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

With the data given we have the probabilities of a particular soccer team scoring a goal within the first five minutes of the game:

(P, 2.34%)

(Q, 3.56%)

(R, 1.24%)

(S, 4.01%)

(T, 3.88%)

According to this we have:

The probability of a goal being scored in the first five minutes of the game, given that the team is team Q= 3.56%

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Answer:

t = -216

Step-by-step explanation:

-8 = t/27

Multiply both sides by 27

-216 = t