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According to the information, it can be inferred that the probability of survival of a first-class senior citizen would be: 0.618

To calculate the probability of survival of a first-class adult on the Titanic we must carefully look at the information in the graph. We must calculate the total number of adults who were in first class:

Once we find this value, we must divide the number of survivors into the total number of people who went in first class.

According to the above, the survival probability of the adults who were in this class is 0.618

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Step-by-step explanation:

to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)

to make sure the answer

substitute w = 14/9 and w = 4 to the equation.

if w = 14/9

\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)

we know that if we substitute w = 14/9, the answer is not the same.

if w = 4

\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)

if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4

Answer:

yes

Step-by-step explanation:

yes

The probability that a point chosen at random on AE is on AB is 1/5

This refers to the line that shows numbers from left to right and is marked at intervals that are negative to the left and positive to the right.

Based on the keen observation, there are 10 line segments that have an equal length and from the two points, there are two equal line segments,

So, the probability that a random point would fall between A and B is:

Number of line segments between AB/ number of line segments between AE

= 2 /10

= 1/5

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The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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The graph of the quadratic function is on the image at the end.

Here we want to graph the quadratic function:

f(x) = -x² - 2

To do so, we can complete the table of values by evaluating the function.

if x = ±2 then:

f(±2) = -(±2)² - 2 = -4 - 2 = -6

if x =  ±1

f(±1) = -(±1)² - 2 = -1 - 2 = -3

if x = 0

f(0) = -(0)² - 2 =  - 2 = -2

Then we have the points:

(-2, -6), (-1, -3), (0, -2), (1, -3), (2, -6)

Now just graph these points and connect them with a curve. The graph of the parabola is below.

Answer:

60%

Step-by-step explanation:

Percent means out of 100

Changing 3/5 to a denominator of 100

3/5*20/20

60/100

The percent is 60 %

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Step-by-step explanation:

We have 2 Semicircular. area of each one :

\(\pi \: \times \: r\)

r = 2.5ft and pi=~3 ==> 7.5×2=15ft (area of two Semicircular)

the area of triangle = 5 + 5 + 6 = 16ft

area of the figure = 16 + 15 = 31ft

Answer:

200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have.

225 + 80x is the amount that Jenna has to pay given x number of hours.

550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.

Step-by-step explanation:

225 + 80x < 550

80x < 550 -225

80x < 325

80x / 80 < 325/80

x < 4.06 or 4 hours

225 + 80x → 225 + 80(4) = 225 + 320 = 545

The number of hours for the sound technician will range from 1 hour to 4 hours.

Assuming they will use 6 hours.

225 + 80(6) = 225 + 480 = 705

705 - 550 = 155

Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.

this might be wrong but, i hope it helps

Answer:

Step-by-step explanation:         times the hour by four on each and get 60 then it would be an equal pay for the hours.

Answer:

19

Step-by-step explanation:

Arrange into parentheses and start at the innermost parentheses

\(5 + (2 \times (6 + (3 \div 3)))\)

Start with 3 ÷ 3

\(3 \div 3 = 1\)

Continue with the other parts of the equation in order

\(1 + 6 = 7\\7 \times 2 = 14\\14 + 5 = 19\\= 19\)

Hope this helped you understand better, have a great day!

Answer: The matrix A of the linear transformation T(f(t)) = f''(t) + 3f'(t) + 7f(t) from the space spanned by the functions cos(t) and sin(t) into itself with respect to the basis {cos(t), sin(t)} can be found by computing the images of the basis vectors under T and expressing those images as linear combinations of the basis vectors.

We have:

T(cos(t)) = -cos(t)'' - 3cos(t)' - 7cos(t) = -cos(t) - 3(-sin(t)) - 7cos(t) = -8cos(t) - 3sin(t)

T(sin(t)) = -sin(t)'' - 3sin(t)' - 7sin(t) = -sin(t) - 3cos(t) - 7sin(t) = -8sin(t) + 3cos(t)

So, with respect to the basis {cos(t), sin(t)}, the matrix A is:

A = [ -8, -3; 3, -8 ]

This is the matrix representation of the linear transformation T with respect to the basis {cos(t), sin(t)}.

Step-by-step explanation:

The solution is, 0.75 can be written as fraction = 3/4.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

A terminating decimal, such as 0.75, has an exact number of nonzero digits.

so, it can be written as fraction

0.75

=75/100

=3/4

Hence, The solution is, 0.75 can be written as fraction = 3/4.

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The values for the length AC and the angles of the right-angled triangle ABC are AC = 12.37, α = 75.96 , and θ = 14.04 using the trigonometric ratios of tangent.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths. The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the right-angled triangle ABC, we shall calculate for the angle B and side lengths a and b as follows:

AC² = 3² + 12² {Pythagoras rule}

AC = √(9 +144)

AC = √153

AC = 12.3693

tanα = 12/3 {opposite/adjacent}

α = tan⁻¹(4) {cross multiplication}

α = 75.9638

tanθ = 3/12 {opposite/adjacent}

θ = tan⁻¹(1/4){cross multiplication}

θ = 75.9638

Therefore, the values for the length AC and the angles of the right-angled triangle ABC are AC = 12.37, α = 75.96 , and θ = 14.04 using the trigonometric ratios of tangent.

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Answer:

760 inches squared

Step-by-step explanation:

surface area -

4(14 x 10) + 2( 10 x 10) = 560+200=760

Answer:

c

Step-by-step explanation:

Is is right?

Let h be the number of hours that the customer rented the van, then we can set the following equation:

Subtracting 17.99 from the above equation we get:

Dividing by 19.99 we get:

Answer: 2 hours.

Answer:

lol done

Step-by-step explanation:

Answer: ½ x + 6 < 34 ; x < 56

Step-by-step explanation:

The approximate percent increase in his math average is 12%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

percent increase in math average = (difference in average/initial average) * 100

percent increase in math average = (93 - 83)/83 * 100

percent increase in math average = 10/83 * 100

percent increase in math average = 12%

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Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

Answer:

4000 ants are left

1000 are lost

Step-by-step explanation:

1/5 of 5000 is 1000

5000 - 1000 = 4000

Answer:

18 pigs to 27 goats

Step-by-step explanation:

2 x 9 = 18 and 3 x 9 = 27. 2/3 = 18/27

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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Adam's balance at the end of June is $627.27

The adjusting balance method is used to determine the interest that would be paid by a credit card owner. The interest that would be paid is determined at the end of a period after all transactions have been adjusted for.

For example, if I have $100 in my credit card. If I buy a shoe worth $50 and deposit $20. My balance at the end of the month would be ($100 + $50 - $20) = $130.

Adam's balance can be determined by adding the amount he spent on purchases to the beginning balance and subtracting the payments he made.

$626.45 + $37.41 + $44.50 - $65.5 +$24.89 - $104.77 +$23.60 + $15 + $51.85 = $605.23

The balance at the end of the month would be the sum of the interest and the amount in his balance

Interest earned = balance x interest rate

Interest rate = 14.63% / 4 = 3.66%

Interest earned = $605.23 x 0.0366 = $22.14

Balance = $22.14 + $605.23 = $627.37

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Answer:

C

Step-by-step explanation:

627.27. Just had it on my test

Answer:

The answer is 70,000 sales.

Bob gets paid an annual salary of $30,000, which means that monthly he gets:

$30,000 : 12 months = $2,500 per month

x - number of sales

Bob earns 5% commission on all sales he makes: x * 5% = x * 0.05 = 0.05x

The function is:

f(x) = 2,500 + 0.05x

Bob wants to make $6,000 this month: f(x) = 6,000

2500 + 0.05x = 6000

0.05x = 6000 - 2500

0.05x = 3500

x = 3500 : 0.05

x = 70000 sales

Step-by-step explanation:

Sales for the month should amount to $70,000

Annual salary = $30,000

Commission on sales = 5%

To make 6000 in a month :

Monthly salary = $30000 / 12 = $2500

Month earning = $2500 + 5% × (monthly sales)

Month earning = $6000

Let month sales = m

6000 = 2500 + 0.05m

6000 - 2500 = 0.05m

3500 = 0.05m

m = 3500 / 0.05

m = 70,000

Sales for the month should be 70,000

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The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.