The Environmental Protection Agency must visit nine factories for complaints of air pollution. In how many ways can a representative visit five of these to investigate this week? Since the representative's travel to visit the factories includes air travel, rental cars, etc., then the order of the visits will make a difference to the travel costs.

Answer:

90% Confidence Interval = (5.532, 7.094)

Step-by-step explanation:

With a sample size of 14 cars, the average wait time is 6.313 minutes with a standard deviation of 1.6509 minutes. Construct a 90% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM. 1) (4.542, 8.084).2) (5.536, 7.09). 3) (-5.532, 7.094).4) (5.532, 7.094).5) (5.872, 6.754).

We are given the sample size = 14 cars

This sample size is small so instead of using z score , we would use the t score critical value

First we need to calculate our degree of freedom

Degrees of freedom = n - 1

= 14 - 1 = 13

The t score for 90% confidence interval with a degree of freedom of 13 =

= 1.771

Hence, Confidence Interval =

Mean ± t score × standard deviation/√n

= 6.313 ± 1.771 × 1.6509/√14

= 6.313 ± 1.771 × 0.4412215843

= 6.313 ± 0.7814034257

Confidence Interval

= 6.313 - 0.7814034257

= 5.5315965743

≈ 5.532

= 6.313 + 0.7814034257

= 7.0944034257

≈ 7.094

90% Confidence Interval = (5.532, 7.094)

Answer:

secondary

Step-by-step explanation:

mixing two primary colors together always makes a secondary

Answer: 96/100

Explanation: 52 + 44 = 96.

I'm not sure of what your trying to find... but the slope is (10/3). The equation in  slope form is y=(10/3)x-10. The Standard form is 10x-3y=30.

Does this help?

Answer: The equation of that line is \(Y = 3 \frac{1}{3}x -10\)

Step-by-step explanation:

Answer:

The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .

Answer:18 cents.

Step-by-step explanation: I did the math.

Hope this helps <3

She will save $0.18

To find the answer, you use the amount of what it usually costs and subtract the sale price to get the amount she saves.

$0.34 - $0.16 = $0.18

Step-by-step explanation:

so, we pick the first one. the probability this person swims is 0.45.

if yes, then we pick the second one. this one has also a probability of swimming of 0.45.

combined with the probability of the first one being a swimmer this is now 0.45×0.45.

the same with the third pick.

and we have the probability that all 3 swim of

0.45×0.45×0.45 = 0.45³ = 0.091125

that is rounded about 0.09 or 9%.

Answer:reflection image of the other

Source:trust me bro

Answer:

25

Step-by-step explanation:

if four is the ratio of blue to five then divide four by 20 blue because thats the number your finding and you get 5 so then you multiply 5 by 5 and you get 25

Answer:

25

Step-by-step explanation:

Divide 4 by 20 to get 5. Then multiply 5 by 5 to get 25.

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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The false statement from the stem-and-leaf plot is given as follows:

b. The data for Paul’s group has two modes.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The mode of a data-set is the data-set that appears the most times in a data-set.

Hence, for Paul's group, the mode is given as follows:

44.

As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.

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Answer:

True

Step-by-step explanation:

answer/explanation:

hope this helps

Answer:

Step-by-step explanation:

Answer:

\(16203\) days

Step-by-step explanation:

There are 60 seconds per minute, so 3600 sec/hour, and 86400 seconds per day, so the answer is about \(16203\) days.

Answer:

a₂₆ = 248

Step-by-step explanation:

to find the 26th term substitute n = 26 into the explicit formula

a₂₆ = 14 + 9(26) = 14 + 234 = 248

Answer:

can we get a picture

Step-by-step explanation:

The surface area of the prism include the following: C. two hundred seventy-five and one-eighth cm².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[(23/4 × 4) + (23/4 × 47/4) + (4× 47/4)]

Surface area of rectangular prism = 2[23 + 1081/16 + 47]

Surface area of rectangular prism = 275 1/8 cm².

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Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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The number of particles in 9.89 moles of carbon is solved to be

To determine the number of particles in 9.89 moles of carbon, we can use Avogadro's constant, which is defined as the number of particles (atoms or molecules) in one mole of a substance.

Avogadro's constant is approximately 6.02 x 10^23 particles per mole.

So, the number of particles in 9.89 moles of carbon is:

= 9.89 moles x (6.02 x 10^23 particles/mole)

= 5.95 x 10^24 particles

Therefore, there are approximately 5.95 x 10^24 particles in 9.89 moles of carbon.

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Answer:

(a) The fraction of the calls last between 4.50 and 5.30 minutes is 0.3729.

(b) The fraction of the calls last more than 5.30 minutes is 0.1271.

(c) The fraction of the calls last between 5.30 and 6.00 minutes is 0.1109.

(d) The fraction of the calls last between 4.00 and 6.00 minutes is 0.745.

(e) The time is 5.65 minutes.

Step-by-step explanation:

We are given that the mean length of time per call was 4.5 minutes and the standard deviation was 0.70 minutes.

Let X = the length of the calls, in minutes.

So, X ~ Normal(\(\mu=4.5,\sigma^{2} =0.70^{2}\))

The z-score probability distribution for the normal distribution is given by;

                           Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean time = 4.5 minutes

           \(\sigma\) = standard deviation = 0.7 minutes

(a) The fraction of the calls last between 4.50 and 5.30 minutes is given by = P(4.50 min < X < 5.30 min) = P(X < 5.30 min) - P(X \(\leq\) 4.50 min)

    P(X < 5.30 min) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{5.30-4.5}{0.7}\) ) = P(Z < 1.14) = 0.8729

    P(X \(\leq\) 4.50 min) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{4.5-4.5}{0.7}\) ) = P(Z \(\leq\) 0) = 0.50

The above probability is calculated by looking at the value of x = 1.14 and x = 0 in the z table which has an area of 0.8729 and 0.50 respectively.

Therefore, P(4.50 min < X < 5.30 min) = 0.8729 - 0.50 = 0.3729.

(b) The fraction of the calls last more than 5.30 minutes is given by = P(X > 5.30 minutes)

    P(X > 5.30 min) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{5.30-4.5}{0.7}\) ) = P(Z > 1.14) = 1 - P(Z \(\leq\) 1.14)

                                                              = 1 - 0.8729 = 0.1271

The above probability is calculated by looking at the value of x = 1.14 in the z table which has an area of 0.8729.

(c) The fraction of the calls last between 5.30 and 6.00 minutes is given by = P(5.30 min < X < 6.00 min) = P(X < 6.00 min) - P(X \(\leq\) 5.30 min)

    P(X < 6.00 min) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{6-4.5}{0.7}\) ) = P(Z < 2.14) = 0.9838

    P(X \(\leq\) 5.30 min) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{5.30-4.5}{0.7}\) ) = P(Z \(\leq\) 1.14) = 0.8729

The above probability is calculated by looking at the value of x = 2.14 and x = 1.14 in the z table which has an area of 0.9838 and 0.8729 respectively.

Therefore, P(4.50 min < X < 5.30 min) = 0.9838 - 0.8729 = 0.1109.

(d) The fraction of the calls last between 4.00 and 6.00 minutes is given by = P(4.00 min < X < 6.00 min) = P(X < 6.00 min) - P(X \(\leq\) 4.00 min)

    P(X < 6.00 min) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{6-4.5}{0.7}\) ) = P(Z < 2.14) = 0.9838

    P(X \(\leq\) 4.00 min) = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{4.0-4.5}{0.7}\) ) = P(Z \(\leq\) -0.71) = 1 - P(Z < 0.71)

                                                              = 1 - 0.7612 = 0.2388

The above probability is calculated by looking at the value of x = 2.14 and x = 0.71 in the z table which has an area of 0.9838 and 0.7612 respectively.

Therefore, P(4.50 min < X < 5.30 min) = 0.9838 - 0.2388 = 0.745.

(e) We have to find the time that represents the length of the longest (in duration) 5 percent of the calls, that means;

            P(X > x) = 0.05            {where x is the required time}

            P( \(\frac{X-\mu}{\sigma}\) > \(\frac{x-4.5}{0.7}\) ) = 0.05

            P(Z > \(\frac{x-4.5}{0.7}\) ) = 0.05

Now, in the z table the critical value of x which represents the top 5% of the area is given as 1.645, that is;

                      \(\frac{x-4.5}{0.7}=1.645\)

                      \({x-4.5}{}=1.645 \times 0.7\)

                       x = 4.5 + 1.15 = 5.65 minutes.

SO, the time is 5.65 minutes.

Answer:

24 kg

Step-by-step explanation:

21 kg every 7 hr

21kg/7hr = 3kg/hr

This means he prepares 3 kg of dough every hour.

After working 8 hours, he would have prepared (3kg)(8) = 24kg of dough

a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

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Answer:

10.95 (if you need to round 11)

Step-by-step explanation:

:p

Answer: 16g - 25h

4 (-6g - 10h) + 3h - 4 (- 3h - 10g)

-24g - 40h +3h +12h +40g

16g - 25h

Step-by-step explanation:

if this is wrong im sorry

Answer:

y<5/3 I believe. sorry if I am wrong!

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C