1. Is the average change in population is the same now as it was 50 years ago? Explain your answer.

HURRY PLEASE NEED IT URGENTLY!!!!!!!!!!!!

Answer:

Step-by-step explanation:

first step: expand the brackets

next step: collect the liked term, a with a and b with b

third: factor the variables" a and b"

fourth: do subtraction and addition inside the brackets

until it become: a(4)+b(4)

finally: just multiply it(expand it)

It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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Answer:

True

Step-by-step explanation:

I hope this is correct and have a great day

Answer:

True

Step-by-step explanation:

People save receipts to keep track of their previous purchases and expenses.

I hope this helps

Answer:

(4, -4) (3 -2)

Step-by-step explanation:

I took the test it was right

hope this helps :D

Answer:

The answer is option C

Step-by-step explanation:

The solution is in the image

Answer:

Step-by-step explanation:

8x - 4y = 16

3x + 4y = 17

11x = 33

x = 3

12 - 2y = 8

-2y = -4

y = 2

(3, 2)

answer is C

The probability of tossing 10 tails in a row is  \(\frac{1}{1024}\)

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

When a fair coin is tossed 10 times, the sample size (n) is:

n = \(2^{10}\)

This is so because a fair coin has 2 sides.

So, we have:

n = 1024

There is only one occurrence of having 10 tails in a row in the 1024 possible outcomes.

So, the probability is:

P = \(\frac{1}{1024}\)

Therefore,

The probability of tossing 10 tails in a row is  \(\frac{1}{1024}\)

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After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer:

C: 110.25

Step-by-step explanation:

The simplification form of the provided expression is 18.25 option (A) is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have a mathematical expression:

\(= \rm \dfrac{7\times8+20(4.5)}{16\times0.5}\)

= (56 + 90)/8

= 146/8

= 18.25

Thus, the simplification form of the provided expression is 18.25 option (A) is correct.

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Answer:

899

Step-by-step explanation:

+

Answer:

Since the calculated value of z=  -1.421 does not lie in the critical region z >

- 1.96 the null hypothesis is accepted and it is concluded that the treatments result in the same effect.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μa  − μb = 0  the treatments result in the same effect

against the claim

Ha: μa − μb ≠ 0   the treatments  do not result in the same effect

2) The significance level is set at 0.05

3) The critical region is z =  ± 1.96

4) The test statistic

Z= x1`-x2`/ sqrt [( s1²/n1+ s2²/n2)]

Here

x1`= 17             s1= 4               n1= 13

x2`= 19             s2= 3             n2= 12

5) Calculations

Z= x1`-x2`/ sqrt [( s1²/n1+ s2²/n2)]

z= 17-19/sqrt [( 16/13+ 9/12)]

z= -2/1.40739

z= -1.421

6) Conclusion

Since the calculated value of z=  -1.421 does not lie in the critical region z >

- 1.96 the null hypothesis is accepted and it is concluded that the treatments result in the same effect.

The likelihood that he or she has a pet given that a student does not have a sibling is 60%. Therefore, the correct option is option D.

Let A denote the event that a student does not have a sibling.

Let B denote the event that a student has a pet.

Then A∩B will denote the event that the student does not have a sibling but he has a pet.

Let P denote the probability of an event in this question.

Then, we have to find the conditional probability of event B which means the likelihood of event B occurring based on the occurrence of event A.

P(B|A)

We know that:

\(P(B|A) = \frac{P(A\cap B)}{P(A)}\)

Also from the table, we have:

P(A)=0.25

and P(A∩B)=0.15

Hence,

\(P(B|A) = \frac{0.15}{0.25}\)

\(P(B|A) = \frac{3}{5}\)

\(P(B|A) = 0.6\)

which in percentage is:

0.6 * 100 = 60 %

Therefore, the likelihood that he or she has a pet too is 60% and the correct option is option D.

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Step-by-step explanation:

angle measure a =48/2=24°

the arc measure =360°-48°=312°

Answer:

Step-by-step explanation: Après un an on a 20000(1+t%)+20000

Après 2 ans on a 20000(1+t%)^2+20000(1+t%)^1=44298

On a donc 20000[(1+t%)^2+(1+t%)^1]=44298

En résolvant l’équation de second degré dans R, on obtient : t = 7%

ANSWER

520 pints = 0.89 barrels

EXPLANATION

First we have to know how many quarts are 520 pints. If 2 pints equals to one quart, then:

Now we have to transform this to gallons. If 4 quarts is 1 gallon, then:

And finally tranform from gallons to barrels. If 73 gallons is one barrel, then:

The expression that demonstrates the associative property of multiplication is 2(24) = 2(20+4).

The correct option is D.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

The associative property of multiplication:

a(bc) = (ab)c, where a, b, and c are the integers.

From the given choices:

2(24) = 2(20+4)

2 x 24 = 2 (24)

48 = 2 x 24

48 = 48

Therefore, 2(24) = 2(20+4) is the required expression.

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9514 1404 393

Answer:

  2,749,509,870

Step-by-step explanation:

The formula for the sum of n squares is ...

  Sn = n(n+1)(2n+1)/6

For 2020 squares, the sum is ...

  S2020 = 2020(2021)(4041)/6 = 2,749,509,870

Answer:

B.

Step-by-step explanation:

A regular hexagon, a rectangle, and a regular parallelogram all have at least 2 pairs of parallel sides. The sides opposite of each other are parallel. A trapezoidal only has one pair of parallel lines and a kite has 0 parallel sides.

Answer:

Step-by-step explanation:

tanR = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

        = \(\frac{PQ}{QR}\)

        = \(\frac{10}{24}\)

        = \(\frac{5}{12}\)

sinR = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

        = \(\frac{PQ}{PR}\)

        = \(\frac{10}{26}\)

        = \(\frac{5}{13}\)

cosR = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

        = \(\frac{QR}{PR}\)

        = \(\frac{24}{26}\)

        = \(\frac{12}{13}\)

Answer:

\(506 \frac{2}{3} kg\)

Step-by-step explanation:

50 2/3=

50×2+3/3

=152/3 kg

next 152/3 ×10

=1520/3

=506 2/3

Answer:

CI 90% = ( 0.227 ; 0.273)

Step-by-step explanation:

Information from the survey:

sample size   n = 938

number of people with yes answer  x = 235

proportion of people  p = 235/938

p = 0.25    then  q = 1 - 0.25    q = 0.75

Confidence Interval 90 % .

CI 90% = ( p ± SE )

CI 90% = ( p ± z(c)*√(p*q)/n)

CI 90 %   then significance level is  α = 10 %   α/2 = 5%

α/2 = 0.05  we find in z-table z (c) = 1.64

√(p*q)/n  = √0.25*0.75/938

√(p*q)/n  = √0.000199

√(p*q)/n  = 0.014

CI 90% = ( p ± z(c)*√(p*q)/n)

CI 90% = ( 0.25 ± 1.64*0.014)

CI 90% = ( 0.25 ± 0.023 )

CI 90% = ( 0.227 ; 0.273)

The total price for the gallons of paint will be 35.75p

The total price for the rollers will be 6r

So the equation if the customer have 190 will be

price for gallons of paint + price for rollers = 190

35.75p + 6r = 190

(This is the equation)

Answer:

since p value(0.001091 ) is less than less than alpha(0.05)

null hypothesis H₀ is rejected.

Hence, we conclude that there is a relationship between personality and disorder.

Step-by-step explanation:

Given the data in the question;

              non-heart disease          heart disease         total

TypeA            32                                 18                         50

TypeB           128                                22                        150

total               160                                40

level of significance ∝ = 0.05

H₀ : There is no relationship between personality and disorder

H₁ : There is a relationship between personality and disorder

so

the computational table for x²

E₁ = 50×160 / 200 = 40

O                E               O-E              (O-E)²                  (O-E)² /E

32              40              -8                   64                          1.6

18               10                8                   64                          6.4

128             120              8                   64                         0.5333

22              30              -8                   64                         2.133

∑                                                                                       10.667

so

X² = ∑( (O-E)² /E ) = 10.667

The contingency table is 2×2, since there are 2 rows and 2 columns

df = (2-1)(2-1) = 1  

P Value from Chi-Square Calculator    

Chi-square score: 10.667

DF : 1

p-value = 0.001091

since p value(0.001091 ) is less than less than alpha(0.05)

null hypothesis H₀ is rejected.

Hence, we conclude that there is a relationship between personality and disorder.

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

Step-by-step explanation:

AD=AE

BD=EC

D=E

....ABD=ACE

The area of the triangle is 47.91 units²

When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.

Heron’s formula is:

Area =√s(s−a)(s−b)(s−c)

where,

a, b, c are the side length of the triangle

s is the semi-perimeter. s = (a+b+c)/2

In this case:

Using the knowledge of the radius of a circle. We can say:

a = BC = 3 + 9 = 12 units

b = AC = 5 + 3 = 8 units

c = AB = 5 + 9 = 14 units

s = (a+b+c)/2

s = (12+8+14)/2

s = 34/2

s = 17 units

Area = √s(s−a)(s−b)(s−c)

Area = √17(17−12)(17−8)(17−14)

Area = √17(5)(9)(3)

Area = √2295

Area = 47.91 units²

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The key features of this rational function include the following:

Domain: (-∞, -1) ∪ (-1, ∞)

Range: (-∞, -2) ∪ (-2, ∞)

Y-intercept: 1.

X-intercept: 1/2.

Vertical asymptote: x = -1.

Horizontal asymptote​: y = -2.

In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch. Additionally, the vertical asymptote of a function simply refers to the value of x which makes its denominator equal to zero (0).

In order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.

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Answer:

2x+19

Step-by-step explanation:

The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

The distribution of the puppies is given as:

4 ​poodles, 5 ​terriers, and 2 retrievers

The probability of selecting a terrier is;

P(terrier) = 5/11

The probability of selecting a retriever is;

P(retriever) = 2/11

The required probability is

P = 5/11 * 2/11

Evaluate

P = 10/121

Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

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The normal cost of an individual is given as x = (504/14) + 6.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Given the x as a normal cost of an individual.

Per person cost by group package = Cost / total person

⇒ 504/14

Now saying that that is less than 6 of the normal cost of an individual.

So,

The normal cost of an individual - 6 = 504/14

The normal cost of an individual (x) = 504/14 + 6 = 42

Hence "The normal cost of an individual is given as x = (504/14) + 6".

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