THIS IS MY LAST QUESTION SO CAN SOMEONE HELP
ME OUT

Answer:

D

Step-by-step explanation:

The best estimation for the city's population in 4 years will be;

⇒ 1.033 × 10⁶ people.

Option D is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Current population of a city = 9.77 × 10⁵ people.

The population will be increase by 1.4 × 10⁴ people in every year.

Now,

The Current population of a city = 9.77 × 10⁵ people.

And, The population will be increase by 1.4 × 10⁴ people in every year.

So, The increased population in 4 years = 4 × 1.4 × 10⁴

                                                              = 5.6 × 10⁴

Hence, The estimated population of the city in 4 years is;

⇒ (9.77 × 10⁵) + (5.6 × 10⁴)

⇒ (9.77 × 10 + 5.6) × 10⁴

⇒ (97.7 + 5.6) × 10⁴

⇒ 103.3 × 10⁴

⇒ 1.033 × 10⁴

Thus, The best estimation for the city's population in 4 years will be;

⇒ 1.033 × 10⁶ people.

Option D is true.

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It will take approximately 32 days to empty the lake.

Unit rate is the amount of one quantity for a unit amount of the other quantity.

Given that,

Officials begin to release water from a man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time.

Amount of water emptied in 14 weeks will be 1 if the river is not replenishing.

Amount of water replenished in 25 weeks is 1 if the river is not emptying.

Amount of water emptied in 1 week = 1/14

Amount of water replenished in 1 week = 1/25

Let t be the number of weeks it take to empty the lake.

\(\frac{t}{14}\) - \(\frac{t}{25}\) = 1

25t - 14t = 350

11t = 350

t = 31.8 ≈ 32

Hence the approximate number of weeks taken to empty the lake is 32 weeks.

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The situation that is an example of an observational study is option C: Collecting the blood pressure readings of a group of elderly individuals in a small town. Option C

Observational studies are research studies where researchers observe and collect data on individuals or groups without intervening or manipulating any variables. The purpose is to observe and understand the relationship between variables naturally occurring in the population. In an observational study, researchers do not assign treatments or manipulate factors but simply observe and record data.

In option A, testing the effectiveness of a mouthwash by comparing a group that uses it with a group that doesn't, this is an example of an experimental study where researchers intervene by assigning treatments (using mouthwash or not) to the groups.

In option B, dividing a class into thirds and giving each third a different amount of time to read and then testing comprehension, this is also an example of an experimental study where researchers manipulate the independent variable (amount of time to read) and measure its effect on comprehension.

In option D, having customers fill out a questionnaire about their favorite brand of toothpaste, this is an example of a survey or questionnaire study where researchers collect self-reported data from participants.

Option C

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Note the complete question is:

Which situation is an example of an observational study?

O A. Testing the effectiveness of a mouthwash by allowing one group

to use it and comparing the results with those of a group that

doesn't use it

O B. Dividing a class into thirds, giving each third a different amount of

time to read, and then testing comprehension

O C. Collecting the blood pressure readings of a group of elderly

individuals in a small town

O D. Having customers fill out a questionnaire about their favorite

brand of toothpaste

Answer:

72

Step-by-step explanation:

because if you add 18, 4 times or 18 x 4 it will give your 72

hope this helps

Answer:

C

Step-by-step explanation:

I believe this is the best answer.

Answer:

Q1 a) 0.9545

b) 0.02275

c) 0.97725

Q2 z is approximately equal to -1.466

Step-by-step explanation:

Q1 The given information are;

The mean time to commute to work = 24.4 minutes

The standard deviation = 6.5 minutes

a) The z-score for 11.4 is given as follows;

\(Z=\dfrac{x-\mu }{\sigma }\)

Where;

x = Observed value 11.4

μ = The mean = 24.4 minutes

σ = The standard deviation = 6.5 minutes

\(Z=\dfrac{11.4-24.4 }{6.5 } = -2\)

The z-score for 37.4 is given as follows;

\(Z=\dfrac{37.4-24.4 }{6.5 } = 2\)

-2 < z < 2, which gives, from the z-score table;

The probability of commute time to be between 11.4 minutes and 37.4 minutes =  0.97725 - 0.02275 = 0.9545

b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275

c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725

Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;

\(Z=\dfrac{x-\mu }{\sigma }\)

\(Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466\)

a. The probability that a student from this group has a high IQ is 0.1 or 10%.

b. The probability that a student has a high IQ given that she is left-handed is 0.1 or 10%.

c. High IQ and left-handedness appear to be dependent, as the joint probability of being left-handed and having a high IQ is not equal to the product of their marginal probabilities, indicating a relationship between the two variables

a. The probability that a student from this group has a high IQ can be calculated by dividing the number of students with high IQ by the total number of students

P(high IQ) = 200 / 2000 = 0.1

Therefore, the probability that a student from this group has a high IQ is 0.1 or 10%.

b. The probability that a student has a high IQ given that she is left-handed can be calculated using Bayes' theorem

P(high IQ | left-handed) = P(left-handed | high IQ) * P(high IQ) / P(left-handed)

We already know P(high IQ) = 0.1 from part a. To find P(left-handed), we need to add up the number of left-handed students in the sample

P(left-handed) = 100 / 2000 = 0.05

To find P(left-handed | high IQ), we need to divide the number of left-handed students with high IQ by the total number of students with high IQ

P(left-handed | high IQ) = 10 / 200 = 0.05

Plugging all these values into Bayes' theorem

P(high IQ | left-handed) = 0.05 * 0.1 / 0.05 = 0.1

Therefore, the probability that a student has a high IQ given that she is left-handed is 0.1 or 10%.

c. To determine if high IQ and left-handedness are independent, we need to compare the joint probability of being left-handed and having a high IQ to the product of the marginal probabilities of being left-handed and having a high IQ

P(left-handed and high IQ) = 10 / 2000 = 0.005

P(left-handed) = 100 / 2000 = 0.05

P(high IQ) = 200 / 2000 = 0.1

P(left-handed and high IQ) = P(left-handed) * P(high IQ) if left-handedness and high IQ are independent.

0.005 = 0.05 * 0.1

Since the left-handness and IQ appear not to be independent, we cannot say that they are independent, rather they are dependent.

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Answer:

8000

Step-by-step explanation:

Since 8 is bigger than 5, you can increase it

7829 to the nearest ten: 7830

7829 to the nearest hundred: 7800

Hope this helps!

The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.

To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.

For example round of 346 will, be350 and round of 344 will be 340

Given the digit,7829

9 → unit place

2 → tens place

8 → hundred place

7 → thousand place

In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.

Since 829 > 500 so 7829 → 8000

Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".

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Answer: 7

Step-by-step explanation:

4.25+6.75=11

11+7=18

18-11=7

Answer:

11m-4

Step-by-step explanation:

Add 4.25m and 6.75m= 11m

7+-11= -4

Answer:

B) 131°

Step-by-step explanation:

-4a + 139 = 4a + 123 because they are vertical angles

-4a + 139 = 4a + 123

reduce:

8a = 16

a = 2

4(2) + 123 = 131°

The true statements are 0.04b +  0.05s = 320, b + s = 7000, and Amber invests $3,000 in bonds and $4,000 in stocks. Then the correct options are A, C, and F.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The formula for interest is written as,

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

Amber invests $7,000 in bonds and stocks.

Then the equation is given as,

b × 0.04 + s × 0.05 = $320

0.04b +  0.05s = 320         ...1

b + s = 7000                       ...2

From equations 1 and 2, then we have

0.04(7000 - s) + 0.05s = 320

0.01s = 40

s = 4000

Then the value of 'b' is given as,

4000 + b = 7000

b = 3000

The true statements are 0.04b +  0.05s = 320, b + s = 7000, and Amber invests $3,000 in bonds and $4,000 in stocks. Then the correct options are A, C, and F.

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The complete question is attached below.

Answer:

5/8

To find:

x

Step-by-step explanation:

1/4x = 2/5

by cross multiplying,

4x × 2=5 × 1

8x=5

x=5/8

hope it helps you

Answer:

A

Step-by-step explanation:

Answer:

              \(\boxed{(x+2)^2-16=0}\)

Step-by-step explanation:

\({}\quad x^2\,+\,4x\ -\ 12=0\\\\\underbrace{x^2+2\cdot x\cdot2+2^2}-2^2-12=0\\\\{}\qquad(x+2)^2\ \ -4-12=0\\\\{}\qquad(x+2)^2-16=0\)

Answer: 6.5

Step-by-step explanation:

1 (to the power of 5) is 1 and 5 (to the power of 2) is 25.

25 (to the power of 0) is 1 and 5 (to the power of 1) is 5.

1 + 25 = 26 and 1 - 5 = -4.

Since the slash means division in math and any number to the power of 0 is always 1.

The answer would be: -6.5.

The solution for the expression  \(\frac{(1^5 + 5^2)}{(25^0 - 5^1)}\) after simplifying is,

\(\frac{(1^5 + 5^2)}{(25^0 - 5^1)} = \frac{- 13}{2}\)

We have to give that,

The expression to simplify is,

⇒ \(\frac{(1^5 + 5^2)}{(25^0 - 5^1)}\)

Simplify the expression by simplifying each term in a given fraction,

⇒ \(\frac{(1^5 + 5^2)}{(25^0 - 5^1)}\)

Since,

1⁵ = 1

5² = 5 × 5

= 25

25⁰ = 25

5¹ = 5

Substitute all the values,

⇒ \(\frac{(1 + 25)}{(1 - 5)}\)

⇒ \(\frac{26}{-4}\)

⇒ \(\frac{-26}{4}\)

Simplify the fraction in simplest form,

⇒ \(\frac{- 13}{2}\)

Hence, The solution is, - 13/2

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Answer:

5

Step-by-step explanation:

Eacl side of the square has a length of 5 cm.

Answer:

55%

Step-by-step explanation:

i assume your question is from mathswatch

And this is the answer for it!

Answer:

f(-7)=224

Step-by-step explanation:

\(f(x) = 4x^2 -4x\\f(-7)= 4(-7)^2 - 4(-7)\\= 4(49) -+28\\=196+28\\f(-7) = 224\)

Answer- There are fraction 6 and 1 over 4 two-thirds in fraction 4 and 1 over 6.

Step-by-step explanation:

The fraction model below shows the steps that a student performed to find a quotient.

Answer:

There are  fraction 6 and 2 over 3 two and one-halves in fraction 3 over 8.

Step-by-step explanation:

Using covered interest arbitrage, you can earn a profit of approximately 0.60 cents for every $1 invested over the next year.
Calculate the interest rate differential.

The interest rate differential is the difference between the nominal risk-free rates in Canada and the U.S. In this case, the differential is 0.6% (4.8% - 4.2%). Calculate the forward premium or discount: The forward premium or discount is the difference between the one-year forward rate and the spot rate. In this case, the forward premium is 0.0058  (1.2803 - 1.2745).

Determine the profit: To calculate the profit, multiply the forward premium by the investment amount. In this case, for every $1 invested, you would earn approximately 0.60 cents (0.0058 * $1).
Please note that exchange rates and interest rates fluctuate, so the actual profit may vary.

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For every $1 invested over the next year, you can earn a profit of can$0.006 through covered interest arbitrage.

To determine the profit from covered interest arbitrage, we need to compare the returns from investing in Canada versus the returns from investing in the US. Covered interest arbitrage involves borrowing money at the lower interest rate and converting it into the currency with the higher interest rate.

First, let's calculate the profit in Canadian dollars. The one-year forward rate of can$1.2745 tells us that $1 will be worth can$1.2745 in one year. Therefore, by investing $1 in Canada at the risk-free rate of 4.8%, we will have can$1.048 after one year (can$1 * (1 + 0.048)).

Now, let's calculate the profit in US dollars. By investing $1 in the US at the risk-free rate of 4.2%, we will have $1.042 after one year ($1 * (1 + 0.042)).

The difference between the Canadian dollar profit and the US dollar profit is can$1.048 - $1.042 = can$0.006.

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In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

a recent survey reported that small businesses spend 24 hours a week marketing their business.

these businesses are spending less than 24 hours a week on marketing. the chamber conducts a survey of 58 small businesses within their state and finds that the average amount of time spent on marketing is 22.7 hours a week.

assuming that the population standard deviation is 6.1 hours.

Given n = 93, u =24, x' = 23, α=5.5

z = x'- u / α(/√n) = (23-24/5.5/√5) = -1.75

Hence, chamber of commerce’s claim at the 0.02 level of significance, z = -1.75

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Answer:1000

Step-by-step explanation:

ANSWER

842 boxes

EXPLANATION

In the morning, they unpacked 479 books.

In the afternoon, they unpacked 363 books.

To find out how many books were unpacked that day, we have to add the numbers that were unpacked in the morning and afternoon.

To solve the problem, we have to simply add, and we start by adding on the UNIT place value:

H T U

4 7 9

+3 6 3

8 4 2

That day, they unpacked 842 boxes.

3⁴= 3×3×3×3= 81

3⁵= 3×3×3×3×3= 243

hope it helps! please mark me brainliest

thank you!! have a good day ahead..

Answer:

this is 3⁴= 81 and 3⁵= 243

The answer is 80, because if you work backwards, you add 30 by 10, which equals 40, 40*2 equals 80.

The required ‘test statistic’ is 36.25

To solve this problem, we'll use the Chi-squared test statistic for testing the variance of a population. Here are the steps:

Identify the given information:
  - Sample size (n) = 30
  - Sample variance (s²) = 625
  - Null hypothesis (H₀): σ² = 500
  - Alternative hypothesis (Hₐ): σ² ≠ 500

Calculate the degrees of freedom (df) using the formula: df = n - 1
  - df = 30 - 1 = 29

Calculate the Chi-squared test statistic (χ²) using the formula: χ² = (n - 1) * (s² / σ²)
  - χ² = (29) * (625 / 500)

Compute the test statistic value:
  - χ² = 29 * (1.25) = 36.25

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Jara has 2 alternatives: -2 and -1 A number line is a diagram that depicts numbers,

As we walk along the line from left to right, the numbers rise. Positive numbers are often to the right and negative numbers to the left of zero, which is typically in the middle of the line.

Jara wants to choose a negative number that, in this instance, is closer to zero than -3. This suggests that instead of choosing -3, she should choose a negative integer that is situated nearer to zero on the number line.

-2 and -1 are the two negative numbers that are nearer to zero than -3. On the number line, these values are to the right of -3 and are nearer to zero than -3.

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∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Given:

Three lines AD, CF, and BE are intersecting each other at the midpoint O.

To prove:

∠CFA ≅ ∠EDA

Proof:

Given that AD, CF, and BE intersect at the midpoint O.

By definition of a midpoint, OA ≅ OD, OB ≅ OE.

OA = OD and OB = OE.

Triangle OAD ≅ Triangle OBE (By Side-Side-Side congruence).

∠OAD ≅ ∠OBE (By Corresponding Parts of Congruent Triangles are Congruent).

∠CFA and ∠EDA are vertical angles.

∠OAD ≅ ∠CFA and ∠OBE ≅ ∠EDA (By Vertical Angles are Congruent).

Therefore, ∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Hence, it is proven that ∠CFA ≅ ∠EDA.

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