A bag contains tomatoes that are either green or red. The ratio of green tomatoes to red tomatoes in the bag is 4 to 3. When five green tomatoes and five red tomatoes are removed, the ratio becomes 3 to 2. How many red tomatoes were originally in the bag

Step-by-step explanation:

x is the hypothnes so u can done by trigonometric formula

c2=a2+b2

×2=6square +8square

x2=36+64

x=square root of 100

x=10(sorry my phone hasn't square)

Answer:

x = 10

Step-by-step explanation:

One can assume that the line drawn down the middle splits the triangle into two congruent portions, thus it is an angle bisector, altitude, and median. This forms two congruent right triangles. Therefore, one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,

\(a^2 + b^2 = c^2\)

Where (a) and (b) are the legs or the sies next to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve, remember that a median splits the base in half,

\((8)^2+(6)^2=c^2\\\\64 + 36 = c^2\\\\100 = c^2\\\\10 = c\)

Answer:

The first and third choices

\(y = \dfrac{3}{2}x + 3\)

and

\(2y-3x=6\)

Step-by-step explanation:

(I cannot properly see the leading negative signs in choices 4 and 5, I copied/pasted your question choices from Brainly post and zoomed)

First understand what x and y intercepts are

The y-intercept is the value of y where the graph of the equation crosses the y-axis, It is the value of y when x = 0

The x-intercept is the value of x where the graph of the equation crosses the x-axis, It is the value of x when y = 0

We are given that the x-intercept is (-2, 0) and y = (0,3)

We can use a process of elimination to get rid of obviously incorrect choices and then work on the possible correct ones depending on whether we come up with the correct values of y first and eliminating those that do not match x =0, y =3 or (0,3) and then see if the x-intercept is (-2,0)

Answer:

b

Step-by-step explanation:

no

Answer:

The answer is B. the Pythagorean theorem

Step-by-step explanation:

brainiest pls?

Answer:

C is equal to -4\(x^{2}\) - 36

Step-by-step explanation:

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

The probability of success (p) would be 0.30 and the probability of failure (q) would be 0.70.

Binomial distributions are probability distributions of the number of successes in a fixed number of trials.

The probability of success (p) and the probability of failure (q) must remain the same for each trial.

The probability of success and failure can be represented as a proportion, a percentage, or a decimal.

The sum of the probabilities of success and failure must equal 1.

The mean of the binomial distribution is equal to np.

Where n is the number of trials and p is the probability of success.

The standard deviation of the binomial distribution is equal to npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.

The z-table can be used to calculate the probability of a given number of successes or failures in a binomial distribution.

The sampling distribution of this study would be a binomial distribution, as it is a study of the proportion of first-time customers out of 100 orders.

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Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of kids and y represent the number of adults that can be invited to the park.

Since the family has at most $190 to spend, hence:

8x + 4y ≤ 190    (1)

Also, the maximum number of invites is 35 people. This is represented by the equation:

x + y ≤ 35       (2)

Graphing equation 1 and equation 2 using geogebra online graphing

We have the solution as:

(0, 35), (23.75, 0) and (12.5, 22.5)

Since the number of people must be a whole number, the possible solutions are:

0 children and 35 adults or 23 children and 0 adults or 12 children and 22 adults

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: ( - 3 {p}^{3} + 5 {p}^{2} - 2 p) + ( - p {}^{3} - 8 {p}^{2} - 15p)\)

\(\qquad \sf  \dashrightarrow \: - 3 {p}^{3} + 5 {p}^{2} - 2 p - p {}^{3} - 8 {p}^{2} - 15p\)

\(\qquad \sf  \dashrightarrow \: - 3 {p}^{3} -p³+ 5 {p}^{2} - 8 {p}^{2} -2p - 15p\)

\(\qquad \sf  \dashrightarrow \: - 4{p}^{3} -3 {p}^{2} - 17p \)

The amount of money that he will make for 2 hours of baby sitting work is $18

The function is

f(x) = 4x + 10

The function f(x) is the amount of money Francis makes when babysitting for x hours

The function is the mathematical statement that shows the relationship between one variable and another variable. If one variable is dependent variable then the other variable will independent variable

The function

f(x) = 4x + 10

The number of hours x = 2 hours

Substitute the values of x in the function

f(2) = 4(2) + 10

f(2) = 8 +10

f(2) = $18

Hence, the amount of money that he will make for 2 hours of baby sitting work is $18

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It can be noted that the decimals that fit into the equation will be 68.05, 68.3, and 68.006.

Your information is incomplete as the original equation isn't given. Therefore, an overview will be given.

Let's assume that the statement is that you should find three decimals where the addition equals 204.086

In this case, you've to look at the decimals and add the three that will give the number above. In this case, the three decimals will be:

68.05 + 68.3 + 68.006

= 204.086

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The resulting triangle has angles \(\(A \approx 68.62^\circ\), \(B = 25^\circ\), \(C \approx 86.38^\circ\),\) and side lengths \(\(a \approx 19.71\), \(b = 25\), \(c = 30\).\)

Given the triangle with side lengths \(\( b = 25 \), \( c = 30 \),\) and angle \(\( B = 25^\circ \),\) we can solve for the remaining elements of the triangle.

The angle \(\( A \)\) is approximately \(\( 68.62^\circ \),\) the angle \(\( C \)\) is approximately \(\( 86.38^\circ \)\), and the side length \(\( a \)\) is approximately \(\( 19.71 \).\)

To solve for the triangle, we can use the Law of Sines and the fact that the sum of angles in a triangle is \(\( 180^\circ \).\)

First, we can use the Law of Sines to find the remaining angle \(\( A \).\) The Law of Sines states that \(\( \frac{a}{\sin A} = \frac{c}{\sin C} \).\) Plugging in the given values, we have \(\( \frac{25}{\sin 25^\circ} = \frac{30}{\sin C} \).\) Solving for \(\( \sin C \),\) we find \(\( \sin C \approx 0.8693 \).\) Taking the inverse sine, we get \(\( C \approx 60.13^\circ \).\) Since the sum of angles in a triangle is \(\( 180^\circ \),\) we can find \(\( A \)\) by subtracting \(\( B \)\) and \(\( C \)\) from \(\( 180^\circ \).\)

Next, we can use the Law of Sines again to find the length of side \(\( a \).\)Rearranging the formula, we have \(\( \frac{a}{\sin A} = \frac{c}{\sin C} \).\) Plugging in the known values, we get \(\( \frac{a}{\sin A} = \frac{30}{\sin 60.13^\circ} \).\) Solving for \(\( a \),\) we find \(\( a \approx 19.71 \).\)

Therefore, the triangle has angles \(\( A \approx 68.62^\circ \), \( B = 25^\circ \), \( C \approx 86.38^\circ \),\) and side lengths \(\( a \approx 19.71 \), \( b = 25 \), \( c = 30 \).\)

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Answer:

B

Step-by-step explanation:

y = 32

The total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200. To split a group of 10 people into two groups of size 3 and one group of size 4, we can use the concept of combinations.

The number of ways to split the group can be calculated by determining the number of combinations of selecting 3 people from 10 for the first group, then selecting 3 people from the remaining 7 for the second group, leaving the remaining 4 people for the third group.

To split the group of 10 people into two groups of size 3 and one group of size 4, we can calculate the number of ways using combinations. The first group of size 3 can be formed by selecting 3 people from the total of 10 people. This can be represented as C(10, 3) = 10! / (3!(10-3)!).

Evaluating this expression:

C(10, 3) = 10! / (3! * 7!) = (10 * 9 * 8) / (3 * 2 * 1) = 120.

After selecting the first group, we are left with 7 people. From these 7 people, we need to select another group of size 3, which can be represented as C(7, 3) = 7! / (3!(7-3)!).

Evaluating this expression:

C(7, 3) = 7! / (3! * 4!) = (7 * 6 * 5) / (3 * 2 * 1) = 35.

Lastly, we have 4 people remaining, and they will form the third group of size 4. Since there is only one group left, there is only one way to assign the remaining 4 people to this group.

Therefore, the total number of ways to split the group of 10 people into two groups of size 3 and one group of size 4 is 120 * 35 * 1 = 4,200.

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Answer: 65.36

Step-by-step explanation:

76 x 86% =

(76)(0.86)=65.36

Answer:

65.36

Step-by-step explanation:

Okay so the first step that you always do with pertentages is put them over 100. So first put 86/100 which equal 0.86 or you can put .86 same thing then times 0.86. And l got that because we have 2 0s in 100, so move 86 to places to the left :) , and then we multiply by 76 and you get 65.36.

Here is just another example so that you can understand what you learned from this. So let's say l wanted to know what 50% of 24 is how would l do that, you would put 50/100 which is 0.5 and then multiply by 24 and you get 12.

The individual most closely associated with innovations in photographic equipment was George Eastman

American businessman George Eastman helped popularize the use of roll film in photography by founding the Eastman Kodak Company.

George Eastman's entrepreneurial passion, fearless leadership, and amazing vision revolutionized the globe. He revolutionized the photography, film, and motion picture industries and is credited with establishing the Eastman Kodak Company, which will live on throughout history.

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complete question;

The individual most closely associated with innovations in photographic equipment was ________

The statement "the t distribution is a family of similar probability distributions" is True.

The t-distribution is indeed a family of similar probability distributions. It is used in statistics to model the distribution of a random variable when the sample size is small and the population standard deviation is unknown. The shape of the t-distribution depends on the degrees of freedom, which is determined by the sample size. As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution.

The t-distribution is symmetric and bell-shaped like the normal distribution, but it has heavier tails, which means it has more probability in the tails and less in the center compared to the normal distribution. The t-distribution plays a crucial role in hypothesis testing and constructing confidence intervals when working with small samples.

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About 97.7% of American women have shoe sizes that are between 5.19 and 11.03.

Suppose that the shoe sizes of American women have a bell-shaped distribution with a mean of 8.11 and a standard deviation of 1.46.

The Empirical Rule states that for a normal distribution of data, nearly all data falls within three standard deviations of the mean.

It means that 99.7% of data will fall between the range of μ ± 3σ.μ = 8.11σ = 1.46

Shoe sizes that are between 5.19 and 11.03 mean that the range of the data is two standard deviations from the mean, therefore 95% of data falls within this range.

To solve the problem, we need to calculate the z-score for the two data points of 5.19 and 11.03 respectively.z1 = (5.19 - 8.11) / 1.46 = -1.99z2 = (11.03 - 8.11) / 1.46 = 2.00

From the z-table, the percentage of the data between -1.99 and 2.00 is 97.7%.

Therefore, about 97.7% of American women have shoe sizes that are between 5.19 and 11.03.

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In order to determine if the ball reaches the 24 ft, replace h = 24 and solve the quadratic equation. If the solutions are real, then, the ball does reach 24ft.

Proceed as follow:

h = 16t² + 36t + 6

24 = 16t² + 36t + 6

16t² + 36t + 6 - 24 = 0

16t² + 36t - 18 = 0

use he quadratic formula, given by:

In this case, a = 16, b = 36 and c = -18

negative times do not have physical meanning, then, the available solution is

t = 0.42

Hence, you can conclude that the ball reaches 24 ft for a time of 0.42 seconds.

The probability of him getting one red marble from 5 red marbles in one bag and one blue marble from 4 blue marbles in the other bag is 4/11.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of marbles in first bag = 11

Yellow marbles = 6

Red marbles = 5

Number of marbles in the second bag = 6

Green marbles = 2

Blue marbles = 4

The probability of him getting one red and one blue marble.

= \(\frac{^5C_1}{^{11}C_1} \times\frac{^4C_1}{6^C_1}\)

= 5/11 x 4/5

= 4/11

Thus,

The probability of him getting one red and one blue marble is 4/11.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Answer:

Step-by-step explanation:

89 - 11v ≤ 7v - 55

+55               +55

144 - 11v ≤ 7v

      +11v   +11v

144 ≤ 19

The solution for the given inequality 89 - 11v ≤ 7v - 55 is equal v ≥ 8.

To solve the inequality for v, let's simplify and rearrange the terms:

89 - 11v ≤ 7v - 55

Let's start by isolating the variable terms on one side and the constant terms on the other side:

-11v - 7v ≤ -55 - 89

Combining like terms:

-18v ≤ -144

Next, divide both sides of the inequality by -18. Remember to reverse the inequality when dividing by a negative number:

v ≥ (-144) / (-18)

v ≥ 8

Therefore, the solution to the inequality is v ≥ 8.

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Using the formula for a z-distribution confidence interval of proportions, he also needs to know the confidence level.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

Of these 3 itens, the problem states that he knows the sample size and the sample proportion, hence he needs to know z to determine the confidence interval. z depends on the confidence level, which is the remaining parameter.

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Answer:

110

Step-by-step explanation:

101-86=15

95+15=110

110-15=95

Answer:

110

Step-by-step explanation:

In this problem, you are adding 15 to each Input to get the Output. That is why I added 15 to 95 in order to get 110.

The value of the expression 13(a • b + a²) + 4 if a = 5 and b = −3 is B 134.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The expression is illustrated thus:

13(a • b + a²) + 4

= 13(5 • (-3) + 5²) + 4

= 13(-15 + 25) + 4

= (13 × 10) + 4

= 130 + 4

= 134

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Answer:

Step-by-step explanation:

(x+8)/2= 5

x + 8 =10

x = 2

(y-1)/2= -2

y - 1 = -4

y = -3

(2, -3)

Margin of error is statistical expressing the amount of a random sampling error in survay results not the error term from biased sampling method. So, correct answer is False.

Margin of error in statistics represents the amount of random sampling error in the survey results. The larger the margin of error, the less confident that the survey results reflect the results of the census of the entire population. It is denoted by E or MOE. It is calculated by dividing the square root of the sample size by the standard deviation of the population. 99% level is the most conservative, 90% level is the least conservative. The sampling error is a statistical error that occurs when the analyst does not select a sample that is representative of the entire data population.

False - Margin of error only account for sample variability (the fact that my sample differs from many others' samples and therefore provides different statistics.

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