A researcher is studying life expectancy in different parts of the world using birth and death records she randomly selects a sample of 20 people from town a and a samle of 20 people form town b and records their lifespans in years.
mean lifespan in years standard deviation
town a 78.5 11.2
town b 74.4 12.3
the researhers wants to test the claim that there is a significant differnce in lifepan for people in the two towns. what are the null and alternative hypotheses that should be used to test this claim?
a. null: mu1 - mu2 is not equal to 0; alternative: mu1 - mu2 > 0 <---- a
b. null: mu1 - mu2 = 0; alternative: p1 - p2 is not equal to 0 <---- b
c. null: mu1 - mu2 = 0; alternative: mu1 - mu2 is not equal to 0 <---- c
d. null: p1 - p2 = 0; alternative: p1 - p2 < 0 <---- d

Answer:

$8.99

Step-by-step explanation:

1 pound = 16 ounces

y pound = 8 ounces

\(\frac{1}{16} :\frac{y}{8}\)

y · 16 = 1 · 8

16y = 8

16y ÷ 16 = 8 ÷ 16

y = 0.5

0.5 pound = 8 ounces

----------------------------------

1 pound = $17.98

0.5 pound = y

\(\frac{1}{17.98} :\frac{0.5}{y}\)

y · 1 = 17.98 · 0.5

y = $8.99

When comparing the two numbers we get that 116/9 is greater than square root of 160.

The square root of 160

= √160

= 12.6491...

≈ 12.65

The fraction number is 116/9 , converting to decimal we get:

116/9

= 12.888

≈ 12.89

Now comparing the two numbers we get:

12. 89 > 12.65

hence 116/9 > 12.65

The opposite of squaring an integer is finding its square root. Finding a number that, when squared, yields the original value will reveal the square root of a number, which is found by multiplying it by itself. If "a" is equal to "b" squared, then a = b.

Every number has four roots that are four by four, one of a positive value and one of a negative value, because the square of almost any integer always represents a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of an integer is typically expressed using only the positive value.

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We are dealing with an equilateral triangle which has 3 equal sides.

length of a side = 3 ft

Since the three sides of an equilateral triangle are equal and we are given two sides to have lengths of 3x - 9 and 23 - 5x , it means that;

3x - 9 = 23 - 5x

Rearranging this gives;

3x + 5x = 23 + 9

8x = 32

x = 32/8

x = 4

putting 4 for x in 3x - 9, we have;

3(4) - 9 = 3 ft

Thus,

length of a side = 3 ft

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Answer:

1. x = 3/2 = 1.500

2. x = ± √3 = ± 1.7321

Step-by-step explanation:

Length of tree = 8.57 m.

Let AB represent the length of lower CD represent the length of tree.

Now we use the trigonometric ratios formula

tan = Perpendicular / base.

Now, in triangle AEC

tan 28° = AE / EC = AE / 44

= AE = 44 * Tan 28^.

= AE = 23.39 m

Now, in triangle ABD.

Length of tree = Length of  tower

= Length of tree = 31.97 – 23.39

= Length of tree = 8.57 m.

Pythagoras of Samos became an historic Ionian Greek logician and the eponymous founder of Pythagoreanism. His political and religious teachings were widely recognized in Magna Graecia and motivated the philosophies of Plato, Aristotle, and, through them, the West in preferred. knowledge of his life is clouded with the aid of legend; however, he appears to have been the son of Menarches, a gem-engraver at the island of Samos. cutting-edge students disagree concerning Pythagoras's schooling and influences; however, they do agree that, around 530 BC, he travelled to Croton in southern Italy, wherein he based a school in which initiates have been sworn to secrecy and lived a communal, ascetic lifestyle.

This lifestyle entailed some of dietary prohibitions, historically said to have included vegetarianism, despite the fact that current students doubt that he ever encouraged entire vegetarianism. The coaching most securely recognized with Pythagoras is metempsychosis, or the "transmigration of souls", which holds that every soul is immortal and, upon demise, enters into a new body.

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Answer:C. Miles

Step-by-step explanation:

Answer:

2.5 centimeters

Step-by-step explanation:

The radius is half the diameter of a circle.

The diameter of the burger is 5 cm.

5/2 = 2.5

The radius of the burger should be 2.5 centimeters.

Hope this helps!

Answer:

The marginal utility per dollar spent for the second burger is 4 utils and the utility per dollar spent for the second burger is 4.5 utils.

Step-by-step explanation:

In a department at Stevens, there are 6 professors and 11 PhD students. The department needs to select 4 students and 2 professors to attend a conference in London. If Prof. X goes, exactly one of his 3 PhD students will also go; if Prof. X does not go, none of his PhD students will go. The remaining professors and students have no such restrictions.

(a) To find the number of ways the department can select the group to attend the conference, we consider the two prof : if Prof. X goes and if Prof. X does not go.

If Prof. X goes, one of his 3 PhD students will also go. There are 3 ways to choose which PhD student will attend with Prof. X. The remaining 3 professors and 10 PhD students can be chosen to fill the remaining spots in (3C1) * (13C3) = 3 * 286 = 858 ways.

If Prof. X does not go, none of his PhD students will go. The 6 professors can be chosen in (6C2) = 15 ways, and the 11 PhD students can be chosen in (11C4) = 330 ways.

Therefore, the total number of ways to select the group to attend the conference is 858 + 15 * 330 = 5708.

(b) If the selection is done at random, the probability that Prof. X will not go to the conference can be calculated by considering the two scenarios:

1: Prof. X goes.

In this case, the probability that Prof. X is chosen is 1/6, and the probability that one of his 3 PhD students is chosen is 1/3. Therefore, the probability of this scenario is (1/6) * (1/3) = 1/18.

2: Prof. X does not go.

In this case, the probability that Prof. X is not chosen is 5/6. Therefore, the probability of this scenario is 5/6.

The overall probability that Prof. X will not go to the conference is the sum of the probabilities of the two scenarios:

P(Prof. X does not go) = P(Scenario 1) + P(Scenario 2) = 1/18 + 5/6 = 31/36.

Therefore, the probability that Prof. X will not go to the conference is 31/36.

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Answer:

katie has 6 stickers left

Answer:

y = -2x + 1.

Step-by-step explanation:

2y = x - 1

y = 1/2y - 1/2

If line X is perpendicular to line Y (the line where y = 1/2y - 1/2), the slope will be the negative reciprocal of line Y. That means that there will be a negative sign instead of positive, and the 1/2 will be flipped to become 2/1, which is 2.

So, the slope will be -2.

We now have y = -2x + c.

To find c, simply put in -1 for x and 3 for y.

3 = -2 * -1 + c

c + 2 * 1 = 3

c + 2 = 3

c = 1

So, the equation of the line is y = -2x + 1.

Hope this helps!

Answer:   y = -2x + 1

Step-by-step explanation:

Perpendicular means they have opposite reciprocal slopes.

Rewrite 2y = x - 1 in Slope-Intercept format by dividing everything by 2:

\(y=\dfrac{1}{2}x-\dfrac{1}{2}\\\\slope(m) = \dfrac{1}{2}\qquad \rightarrow \qquad m_\perp = -2\)

Next, Use the Point-Slope formula where (x₁, y₁) = (-1, 3) and m = -2

y - y₁ = m (x - x₁)

\(y-(3)=-2\bigg(x-(-1)\bigg)\\\\\\y-3=-2x-2\\\\\\y=-2x-2+3\\\\\\\large\boxed{y=-2x+1}\\\)

Yes, the level of confidence we use will affect the width of the confidence interval.

A confidence interval is a range of values that we are reasonably confident contains the true population parameter we are interested in, such as the average amount of time students spend taking a final exam. The level of confidence we use represents the probability that the true parameter lies within the calculated interval.

For example, a 95% confidence interval means that if we were to take many random samples from the population and compute a 95% confidence interval for each one, we would expect 95% of those intervals to contain the true population parameter. The width of the confidence interval depends on the level of confidence we choose. A higher level of confidence requires a wider interval to account for the increased probability of capturing the true parameter.

Therefore, if we want to create a narrower interval, we could choose a lower level of confidence, such as 90%, but this would also mean that we are less confident that our interval contains the true population parameter. Alternatively, if we want to increase our confidence that our interval contains the true parameter, we could choose a higher level of confidence, such as 99%, but this would result in a wider interval.

Ultimately, the choice of confidence level depends on the trade-off between the desired level of confidence and the width of the resulting interval.

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Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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Answer:

(-1, -2), x = -1

The probability that Ali misses 4 shots out of 25, given that he has a 3-point shooting percentage of 9/10 or 0.9, is approximately 0.1394, or about 13.94%.

The probability of an event occurring is defined by probability. There are numerous real-life scenarios in which we must forecast the outcome of an occurrence.

We can use the binomial distribution to find the probability that Ali misses 4 shots out of 25, given that he has a 3-point shooting percentage of 9/10 or 0.9.

Let X be the number of missed shots out of 25 attempts. Since each shot is either a miss or a make, this is a binomial distribution with n = 25 and p = 1 - 9/10 = 1/10. We want to find P(X = 4), which is:

P(X = 4) = (25 choose 4) * (1/10)⁴ * (9/10)²¹

where "25 choose 4" is the number of ways to choose 4 shots out of 25.

Using a calculator, we can evaluate this expression to find:

P(X = 4) ≈ 0.1394

Therefore, the probability that Ali misses 4 shots out of 25, given that he has a 3-point shooting percentage of 9/10 or 0.9, is approximately 0.1394, or about 13.94%.

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The range of probability is:

​c. ​zero to one

Probability is a measure of the likelihood of an event occurring. It is a value that ranges between 0 and 1, where 0 represents an impossible event, and 1 represents a particular event. In other words, a probability of 0 means that an event will not happen, and a probability of 1 means that an event will happen. Any probability value between 0 and 1 can be written as a decimal or a percentage. For example, a probability of 0.5 can also be written as 50%.

It is important to note that probability values cannot be negative or greater than 1. In probability theory, events that are impossible to happen have a probability of 0, and events that are certain to happen have a probability of 1. For example, a probability value of 0.5 means a 50% chance of an event and a 50% chance of it not happening. Therefore, the range of probability is between 0 and 1, as any value outside of this range would not be a valid probability.

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Answer:

27/5 = 5,4

Step-by-step explanation:

5 2/5 = 27/5 = 5,4

Answer:

B and E

Step-by-step explanation:

3^-8/3^-4 = 1/81 or .01234567...

I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.

3^-12 = 1/531441 <- not the answer

3^-4 = 1/81 <- answer!

3^2 = 9

1/3^2 = 1/9

1/3^4 = 1/81

1/3^12 = 1/531441

its also good to remember

3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.

Hope this helps!

\(B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ \)

Step-by-step explanation:

\( \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: \)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}\)

a) a/5 + 3 = 8

Step 1 : Minus both sides by 3

a/5 + 3 - 3 = 8 - 3 -> a/5 = 5

Step 2 : Multiply both sides by 5

a/5 x 5 = 5 x 5 -> a = 25.

b) (3b)/7 - 1 = 5

Step 1 : Add both sides by 1

(3b)/y - 1 +1 = 5 + 1 -> (3b)/7 = 6

Step 2 : Multiply both sides by 7

(3b)/7 x 7 = 6 x 7 -> 3b = 42

Step 3 : Divide both sides by 3

3b : 3 = 42 : 3 -> b = 14.

Answer:

She will need $23.87

Step-by-step explanation:

No bc it all adds up to $143.87 so she would need $23.87 more to be able to pay.

Answer:

- 362.5t + 1100

Step-by-step explanation:

Given :

Value, = v ; time, = t

t1, v1 = (0, 1100)

t2, v2 = (2, 375)

Slope, m = v2 - v1 / t2 - t1

m = (375 - 1100) / (2 - 0)

m = - 725 / 2

m = - 362.5

v - v1 = m(t - t1)

v - 1100 = - 362.5(t - 0)

v - 1100 = - 362.5t

v = - 362.5t + 1100

Answer:

-37

Step-by-step explanation:

Complete the sentence for your layer. (1 point)

The troposphere is the region that starts at Earth's surface and ends between 0 km and 12 km

above Earth.

The upper crust is the region that starts at Earth's surface and ends between 0 km and 50 km

below Earth's surface.

Use the temperature equation to find the temperature range for your layer.

The temperature equation is not specified in the question. Please provide the temperature equation for me to solve this question.

What is the temperature at the end of your layer that is farthest from the surface? (1 point)

Without knowing the layer specified in the question, I cannot provide the temperature at the end of the layer that is farthest from the surface.

For the layer you selected, the temperature ranges from the temperature at Earth's surface to

the temperature at the end of the layer that is farthest from the surface.

These cards can be sorted into three pairs, where each pair adds to the same number. The number is -5. The correct option is C.

An integer is a whole number that can be positive, negative, or zero and is not a fraction.

The addition of these following three pairs is given as follows:

-5 + 0 = -5.

-3 - 2 = -5.

-8 + 3 = -5.

Hence, we got three pairs of values from these cards, all cards are used, and all the additions result in -5, hence, this number is -5.

The addition of integers used in this problem is as follows: Two negatives: keep the signal and add the numbers, hence -3 - 2 = -5. Positive and negative: signal of bigger absolute value, find the difference, hence: -8 + 3 = -(8 - 3) = -5.

Therefore, the correct option is C. -5.

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Use the formula shown C = 2PIr

r is the radius which is given as 3 and you are told to use 3 for pi:

C = 2(3)(3) = 18

The circumference = 18

Answer:k=5

Step-by-step explanation:

K/2+1/2=3

K/2=3-1/2

K/2=5/2

K=10/2

K=5