Gary took part in a quiz show and won a million pounds.

He spent £20 000 on a holiday.

Then he spent half of the money left on a house..
How much did Gary's house cost?

ASAAPPP NEEDD HELLPPPP

The number of bacteria after 1.5 hours is 320,000.

Given,

The doubling period of a bacteria culture is 15 minutes.

Initially, the culture has 5000 bacteria.

We need to determine the number of bacteria there will be after 1.5 hours.

We have,

The number of bacteria gets double every 15 minutes.

Number of bacteria at initial stage = 5000

In 1.5 hours we have 90 minutes.

1.5 hours = 1 hour and 30 minutes

1 hour = 60 minutes

1.5 hours = 90 minutes.

In 90 minutes we have 6 times 15 minutes.

First 15 minutes,

The number of bacteria would be = 2 x 5000 = 10,000

Now next 15 minutes,

10,000 x 2 = 20,000

Next 15 minutes,

20,000 x 2 = 40,000

Next 15 minutes,

40,000 x 2 = 80,000

Next 15 minutes,

80,000 x 2 = 160,000

Next 15 minutes,

160,000 x 2 = 320,000

We can also write it as 5000 x 2^6 = 320,000

Thus the number of bacteria after 1.5 hours is 320,000.

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The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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Answer:

lol I would think its some type of witchcraft. probably burn it!

Answer:

Step-by-step explanation:

Since we are not given the dimension. Let us say the shape of the patio is a rectangle with length 30m and width 18m.

Area of the rectangle = Length * Width

Area of the rectangle = 30 * 18

Area of the rectangle = 540m²

This means that 540m² of the patio costs $2276.35. To get the cost of each square metre of patio, we will say;

540m² = $2276.35

1m² = x

cross multiply;

540x = $2276.35

x = $2276.35/540

x = $4.22

Hence each square meter of patio will cost $4.22

Note that the dimension of patio was assumed. Same explanation can be employed for any dimension.

Answer:

(x, y) = (-10, -7)

Step-by-step explanation:

#1 Multiply the first equation by 7

#2 Then multiply the second equation by 5

1. 14x - 35y = 15

2. 10x - 35y = 55  (-

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

    4x           = -40

                x = -10

Then go back to equation one and replace "x" with -10

2(-10) - 5y = 15

-20 - 5y = 15

-5y = 15 + 20

-5y = 35

5y = -35

y = -7

The answer is

(x, y) = (-10, -7)

Hope this helps!

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The probability is 0.8427.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Here we are total number of insurance agents = 89

And  number of insurance agents do own a handgun = 75

So we asked probability that a insurance agent will own a handgun  

Probability = no.of insurance agents/no.of insurance agents who owns a handgun

Probability = 75/89 = 0.8427

The probability that the agent will own a handgun is .84

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Answer:

36, 525, 795, and 84

Step-by-step explanation:

36/3=12

525/3=175

795/3= 265

84/3=28

The numeric values of the function are given and explained as follows:

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is given by:

f(x) = 10000 + 1000x.

In which:

When x = -2, we have that:

f(-2) = 10000 + 1000(-2) = 8000.

Hence:

f(-2) = 8000, meaning a qualifying applicant with -2 siblings would receive a financial aid of $8,000. This interpretation does not make sense in the context of the problem.

When x = 4, we have that:

f(4) = 10000 + 1000(4) = 14,000.

Hence:

f(4) = 14,000, meaning a qualifying applicant with 4 siblings would receive a financial aid of $14,000. This interpretation makes sense in the context of the problem.

The number of siblings is a discrete number, and has to be of at least 0, hence:

The domain is: {x is a whole number and x ≥ 0}.

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The central angle of Bathing = 108 degrees.

In the given pie chart,

Since we know,

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.

The whole circle is 360 degrees

which represents 100%.

It is given that,

Bathing = 30%

So have need to find 30% of 360 degrees.

Therefore,

Bathing = (30/100)x360

            =  (30/10) x 36

            = 3x36

            = 108

Hence,

The central angle = 108 degrees.

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The complete question is:

To the nearest degree, what is the measure of the central angle for bathing?

Answer:

B, F

Step-by-step explanation:

\(2x^2(x-4)^2=0 \\ \\ \implies x^2=0, (x-4)^2=0 \\ \\ \implies x=0,4\)

Answer: 8y⁸

Step-by-step explanation:

To find the square root of the expression, you want to find the square root of each term.

The square root of 64 is 8. You can write y¹⁶ as (y⁸)². We can pull out this 2 from the square root because it cancels out with the square root. Therefore, the answer is 8y⁸.

Answer:

the answer is 456 college students

Answer:

The answer is the first option. ΔRED ~ ΔTAN

Step-by-step explanation:

This is because the letters should be in the same order. Notice how T and R are in the same spots so are E and A, as well as D and N.

Answer:

2 is the answer

therefore, 5x2=10

2 times as many as 5

Step-by-step explanation:

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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Answer:

(-1,1)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

equation form:
x=-1, y=1

have a great day and thx for your inquiry :)

By substituting each of the provided options into the given system of linear equations, it is revealed that the ordered pair (-1, 1) is a valid solution for both the equations.

The correct answer is (-1, 1)

In mathematics, a system of linear equations consists of multiple linear equations with the same variables. These equations describe various relationships among these variables, typically representing lines in a multi-dimensional space. Solving such systems involves finding values for the variables that satisfy all equations simultaneously. Methods like substitution, elimination, or matrix algebra can be used to solve these systems. These systems are fundamental in fields like physics, engineering, economics, and computer science for modeling and solving real-world problems involving multiple interconnected variables.

We can solve this problem by substituting values from the given options into the equations and checking for which option both equations are valid. The system of linear equations is: x + 4y = 3 and y = -4x - 3.

Therefore, the ordered pair that is a solution to the system of linear equations is (-1, 1).

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Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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Answer:

≈ 404.6666667

Step-by-step explanation:

70 - 8 ÷ 6 + 8 x 42

70 - 1.33333333 + 8 x 42

70 - 1.33333333 + 336

68.6666667 + 336

404.6666667

Answer:

Option e

Step-by-step explanation:

The type of test for this sticky is a two tailed test: (either up or down) from the severe storm class rating.

Thus, the null hypothesis would be that u is equal to 16.4 feet while the alternative hypothesis would be that u is not equal to 16.4 feet; and the p value area is on both sides of the mean since it is a two tailed test.

Answer: is it 25? i am bad at math but i am guessign

Step-by-step explanation:

As per the given data, the actual width of the building, based on the given measurements and scale, is approximately 0.0375 meters or 37.5 centimeters.

The term "floor plan" in this context refers to a scaled diagram or drawing that represents the format and arrangement of a space, inclusive of an office or building, as regarded from above.

It presents a visible illustration of the various rooms, partitions, doorways, windows, and different architectural functions, in addition to the general dimensions and spatial relationships inside the area.

Based on the statistics supplied, the person facing the south easterly route would be placed at the notebook (WS) that is positioned closer to the southeast path at the ground plan. The precise computer wide variety isn't stated, so we can not determine the exact WS number.

Given that the measured width of the workplace on the floor plan is 30mm and the size used is 1:800, we can calculate the actual width of the constructing in meters. The scale 1:800 way that 1 unit at the ground plan represents 800 devices in truth.

Actual width = Measured width / Scale

Actual width = 30mm / 800

Actual width ≈ 0.0375 meters or 37.5 centimeters

Thus, the answer is 0.0375 meters or 37.5 centimeters.

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Solution:

Given:

To find p(-3), substitute x = -3

To find p(1), substitute x = 1

To find p(5), substitute x = 5

Therefore, OPTION B is correct.

Answer:

Chi-Square and Linearization ... A random sample of 315 subjects is selected and represented in the table below. ... claim that aerobic walking and cholesterol levels are related.

Answer124

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:  Graph C passes the horizontal line test and becomes a function as the horizontal line does not cut the curve more than once along any line drawn.

Also, the curve passes the vertical line test as well, if a vertical is drawn, it does not cut the curve more than once if drawn any where vertically.

Thus, graph C passes both the horizontal and vertical line test. So the curve has both function and inverse function.

Answer: 190208

Step-by-step explanation:

732 178 + 167 - 542 137 = 190208

Answer:

\(\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2\)

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

\( \bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0\)

And we can solve for \(\sum_{i=1}^n w_f *X_f \) and solving we got:

\( 3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f \)

And from the previous result we got:

\( 3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f\)

And solving we got:

\( \sum_{i=1}^n w_f *X_f =120 -67.2= 52.8\)

And then we can find the mean with this formula:

\( \bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3\)

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0

Step-by-step explanation:

For this case we know that the currently mean is 2.8 and is given by:

\( \bar X = \frac{\sum_{i=1}^n w_i *X_i }{24} = 2.8\)

Where \( w_i\) represent the number of credits and \(X_i\) the grade for each subject. From this case we can find the following sum:

\(\sum_{i=1}^n w_i *X_i = 2.8*24 = 67.2\)

And for this case we want a gpa of 3.0 taking in count that in this semester he/ she is going to take 16 credits so then the new mean would be given by:

\( \bar X_f = \frac{\sum_{i=1}^n w_i *X_i+w_f *X_f }{24+16} = 3.0\)

And we can solve for \(\sum_{i=1}^n w_f *X_f \) and solving we got:

\( 3.0 *(24+16) =\sum_{i=1}^n w_i *X_i +\sum_{i=1}^n w_f *X_f \)

And from the previous result we got:

\( 3.0 *(24+16) =67.2 +\sum_{i=1}^n w_f *X_f\)

And solving we got:

\( \sum_{i=1}^n w_f *X_f =120 -67.2= 52.8\)

And then we can find the mean with this formula:

\( \bar X_2 = \frac{\sum_{i=1}^n w_f *X_f}{16}= \frac{52.8}{16}=16=3.3\)

So then we need a 3.3 on this semester in order to get a cumulate gpa of 3.0

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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