The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in
the lake. What is the population this year? If you get stuck, consider drawing a diagram.
There are
fish in the pond.
HELLPPP

The correct solution for the following system of Inequalities is (-1, 1) because it is on the darker region.

An equation is an expression that shows the relationship between numbers and variables.

Inequalities is used for the non equal comparison of these numbers and variables.

Let x represent the x axis and let y represent the y axis.

The solution to the system of linear equalities is the intersection of both inequalities which is the darker region.

The point that satisfies both inequalities as shown on the graph is (-1, 1) because it is on the darker region.

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Answer:

Step-by-step explanation:

substituting in the values of s, b,t and n in the expression then,

(2.4 × -7.2 × 4.8) - (-7.2 × 4.8 × -9.6)

= - 82.944 -331.776

= -248.832

Answer:

Linear pairs add up to 180°

1st angle = x

2nd angle = x+24 (24° more than the first)

The equation would be

1st angle + second angle = 180 Subbing in the expressions we came up with:

x+x+24 = 180

Answer:

\(j = 7\)hope that helps!

The value which is the solution to the equation 42 ÷ j = 6 is; j =7

One variable equation:

According to the question;

To solve the equation; we can do Cross-product as follows;

j = 42/6

j = 7.

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Hello!

(x + 3) = 1

x + 3 = 1

x = 1 - 3

x = -2

(2x + 5) = (3n + 2)

[2 × (-2) + 5] = (3n + 2)

(-4 + 5) = (3n + 2)

1 = (3n + 2)

1 = 3n + 2

3n + 2 = 1

3n = 1 - 2

3n = -1

n = -1 : 3

n = -1/3

Good luck! :)

Answer:

A

Step-by-step explanation:

I don't know how to explain ????

Answer:

Step-by-step explanation:

x = 8

Using trigonometry, the angle of elevation of the top of the building from A is 36.87 degrees

The angle of elevation of the building from A, we can apply the concept of trigonometry;

tan(θ) = opposite/adjacent

tan(θ) = height/180m

Since we're given that the angle of the top of the building is 45 degrees when the man is 180m away from point A, we can set up the equation:

tan(45°) = height/180m

The tangent of 45 degrees is 1, so the equation becomes:

1 = height/180m

Solving for the height:

height = 180m

Using the tangent of the angle;

tan(θ) = height/distance

tan(θ) = 180m/240m

Simplifying:

tan(θ) = 0.75

θ = tan⁻¹(0.75)

θ = 36.87 degrees

Therefore, the angle of elevation of the top of the building from point A is approximately 36.87 degrees.

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its easy just add on by 1, so after 22 u get 23 then 24, 25 and so on

Stronger evidence against the null hypothesis is indicated by: smaller p-values.

A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.

A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.

The alternative hypothesis is supported if the null hypothesis can be rejected.

The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.

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Answer:

what do you mean

Step-by-step explanation:

Answer:

7t-14

Step-by-step explanation:

you have to distribute the 7 into the t and 2 and take the -with the 2

9514 1404 393

Answer:

  10 mph

Step-by-step explanation:

To find miles per hour, divide miles by hours:

  (3 1/3 mi)/(1/3 h) = (10/3)/(1/3) mi/h = 10 mi/h

Jaime's average rate was 10 miles per hour.

Therefore, the image is formed at a distance of approximately 46.03 cm behind the mirror, and its height is approximately 2.98 cm.

We'll use the mirror formula and magnification to find the height of the image produced by the convex mirror.
1/f = 1/do + 1/di
do = object distance = 17 cm
f = focal length = -59 cm
Now, let's solve for the image distance (di):
1/-59 = 1/17 + 1/di
1/di = 1/-59 - 1/17
1/di ≈ -0.0217
di ≈ -46.03 cm
The magnification (M) is given by:
M = -di/do
M ≈ 46.03/17
M ≈ 2.71
Now, let's find the height of the image (hi):
hi = M * object height
hi = 2.71 * 1.1
hi ≈ 2.98 cm

Therefore, the image is formed at a distance of approximately 46.03 cm behind the mirror, and its height is approximately 2.98 cm.

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This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

17.5 hour

Mean = (5x0.15) + (15x0.28) + (20x0.31) + (25x0.26) = 17.5 hours

The mean of the variable is calculated by multiplying the value of each individual category with its probability, and then summing the resulting values. In this case, the mean is calculated as (5x0.15) + (15x0.28) + (20x0.31) + (25x0.26) = 17.5 hours. This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

the complete question is :

Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks.Weekly hours worked Probability5 0.1515 0.2820 0.3125 0.26Find the mean of this variable.

Weekly hours   worked Probability

5                              0.15

15                            0.28

20                           0.31

25                           0.26

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Answer:

mass is less than the red

speed is equal

energy is less than

Step-by-step explanation:

Hope this helps!

Answer: X = 6

Hope This Helps!

Answer:

Below

Step-by-step explanation:

y ( 5.98x - 5.81) - 2.19 y =

5.98xy - 5.81y      - 2.19 y

5.98xy + ( - 5.81y - 2.19 y)

5.98xy + ( - 8y )

5.98xy - 8y       or   y ( 5.98x-8)

Answer:

.5 or 1/2

hope this helps!!!

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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2,000,000 yen converted to US dollars is approximately $18,074.82 at the current exchange rate.

2,000,000 yen converted to US dollars is approximately $18,074.82 at the current exchange rate. The conversion rate fluctuates daily due to market forces such as speculation and supply and demand. However, a general rule of thumb is that 1 yen is equal to 0.01 USD. Therefore in order to calculate the amount of US Dollars from Yen you can simply multiply the number of yen by 0.01 in order to get the result in US Dollars. This means that 2 million yen would be worth 18 thousand and seventy-four US dollars (18074). When it comes to currency conversions its important to understand both local economic conditions and global economic trends in order to get an accurate conversion rate on any given day or week.

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To answer this question, we need to divide the figure as follows:

From the picture above, we have that:

We have if we add 8 to 17 we get 25, that is why this side has a length of 8 feet. Likewise, we need to add 5 to 9 to get 14, that is why the other side has a length of 5.

We can also get these values if we subtract 9 from 14, and we obtain 5. In the same way, we can subtract 17 from 25 to get 8.

Then, we have two rectangles:

1. One of the rectangles measures 25ft on one side (length), and 9 feet (width).

2. The other rectangle measures 8ft (length) and 5ft (width)

Then, the area of the figure is the sum of the areas of both rectangles:

Then, the total area is the sum of both areas:

In summary, therefore, the area of the driveway, in square feet, is 265 (option H).

the probability of an archer hitting her target is 83%.The mean of x is 16.6 (16.6 targets hit).

The probability of the archer hitting her target is 83%. This means that for each shot she takes, the probability of her hitting her target is 0.83. Since she has 20 shots to take, the expected number of targets hit is 20 x 0.83, which is 16.6.

The mean of x, which is the number of targets hit, is therefore 16.6. This can be calculated by taking the probability of success (0.83) multiplied by the number of trials (20), which gives the expected value of 16.6.

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer:

\(-\frac43\)

Step-by-step explanation:

Hello!

Slope is calculated by the formula \(\frac{Rise}{Run}\).

The two points I'm picking is (0,0) and (3,-4).

Therefore, the slope is \(-\frac43\).

Answer:

9

hope it's helpful ❤❤❤❤

THANK YOU

#

Answer:

Step-by-step explanation:

The general solution of the equation is y = Cx^{-3}, where C is an arbitrary constant.

To find the general solution of the given equation, we need to solve for y in terms of x.

The equation x^3 y' + y = 0 is a first-order linear homogeneous ordinary differential equation. We can rearrange it as y' = -y/x^3.

To solve this differential equation, we can separate the variables and integrate both sides:

∫(1/y) dy = -∫(1/x^3) dx

Applying integration:

ln|y| = 1/(2x^2) + C₁

where C₁ is an arbitrary constant of integration.

Taking the exponential of both sides:

|y| = e^(1/(2x^2) + C₁)

Since y can be positive or negative, we remove the absolute value notation and consider both cases separately:

Case 1: y > 0

y = e^(1/(2x^2) + C₁) = e^(1/(2x^2)) * e^(C₁)

Let C be another constant, C = e^(C₁). Then we have:

y = C * e^(1/(2x^2))

Case 2: y < 0

y = -e^(1/(2x^2)) * e^(C₁) = -C * e^(1/(2x^2))

Combining both cases, the general solution is:

y = C * x^(-3)

where C is an arbitrary constant.

The general solution of the equation x^3 y' + y = 0 is y = Cx^(-3), where C is an arbitrary constant.

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The conditional probability of X taking the value n+k given that X is greater than n is the same as the unconditional probability of X taking the value k, as the memoryless property ensures that the probability of the event happening is constant regardless of the number of previous trials.

To show analytically that P(X = n+k|X > n) = P(X = k) for a geometric random variable X, we can use the properties of geometric distributions.

First, let's define the probability mass function (PMF) of a geometric random variable X with parameter p as:

P(X = k) = \((1 - p)^{k-1}\) * p

Now, let's consider P(X = n+k|X > n), which represents the conditional probability that X takes the value n+k given that X is greater than n.

Using the definition of conditional probability, we have:

P(X = n+k|X > n) = P(X = n+k and X > n) / P(X > n)

The numerator represents the joint probability that X takes the value n+k and X is greater than n. Since X follows a geometric distribution, the event X > n implies that X takes a value greater than or equal to n+1.

Therefore, we can rewrite the numerator as:

P(X = n+k and X > n) = P(X = n+k and X ≥ n+1)

Since X is a geometric random variable, the probability of it taking a specific value k given that it is greater than or equal to n+1 is the same as the probability of it taking the value k. This is because the geometric distribution has the memoryless property, meaning that the outcome of future trials does not depend on the outcomes of past trials.

Therefore, we can simplify the numerator as:

P(X = n+k and X ≥ n+1) = P(X = n+k)

Finally, we divide this numerator by the denominator P(X > n) to get:

P(X = n+k|X > n) = P(X = n+k) / P(X > n)

Using the PMF of the geometric random variable, we substitute the expressions:

P(X = n+k) = \((1 - p)^{n+k-1}\) * p

P(X > n) = 1 - P(X ≤ n) = 1 - [(1 - p)ⁿ * p]

Substituting these values into the equation, we have:

P(X = n+k|X > n) = [\((1 - p)^{n+k-1}\) * p] / [1 - (1 - pⁿ) * p]

We can simplify this expression further, but at this point, we have shown analytically that P(X = n+k|X > n) = P(X = n+k). This means that the conditional probability of X taking the value n+k given that it is greater than n is equal to the probability of X taking the value k.

Verbal Argument:

The equation P(X = n+k|X > n) = P(X = k) holds true for geometric random variables because of the memoryless property of the geometric distribution. In a geometric distribution, each trial represents the occurrence of a specific event, and the probability of the event happening in each trial remains constant.

When we condition on X > n, it means that we have already observed n trials without the event occurring. At this point, the remaining trials are independent of the previous n trials. The geometric distribution does not "remember" or take into account the number of trials that have already occurred.

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The volume of the cylinder is 900 cubic inches

From the question, we have the following parameters that can be used in our computation:

Volume of a right circular cone = 300 cubic inches

The right cylinder has the same base radius and height as the cone

For a cone and a cylinder that has the same radius and height, the relationship between their volumes is

V = 3v

Where

v is the volume of the cone and V is the volume of the cylinder

V = 3 * 300

Evaluate

V = 900

Hence, the value of the volume is 900 cubic inches

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