NEED HELP ASAP!!! Angles of Elevation and Despression! Need to find y!

If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

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Answer:

3 by 19

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

3/10 x X= 12

X=12/(3/10)

X=40 she has 40 pens altogether then she gave 12 to her brother so 40-12=28

Answer:

112 calories per cup

Step-by-step explanation:

Let x = unit rate for calories per cup,

Then (3/4)*x = 84

and x = 84*(4/3) = 112 calories per cup

Answer:

1 cup =  128 calories

Step-by-step explanation:

you simply have to reverse the fraction and multiply it by that. 96×\(\frac{4}{3}\)=128

Answer:

Step-by-step explanation:

First divide 6 from the left size so it gets cancelled.

Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6

Which becomes (t + 12) = 19

Now, (t + 12) - 12 = 19

Therefore, t = 19 - 12

Answer: t = 7

(whatever you do to one side, most be done to the other side too).

To check,

6(t+12)=114

6(7+12)=114

Solve brackets first, 6(19)=114

114=114

The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

As per the given data:

To apply distributive property in  6 (t + 12) = 114

Distributive property: A (B + C) = A × B + A × C

Now for, 6 (t + 12) = 114

First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:

6 × t + 6 × 12 = 114

6t + 72 = 114

6t = 114 - 72

6t = 42

t = (42/6) = 7

Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

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Answer:

0.04

Step-by-step explanation:

We are given that

The probability  that the alumnus did not provide response=5%

The probability  that the alumnus did not provide response=\(\frac{5}{100}=0.05\)

The probability that the alumnus would say their experience  fell short of expectations=26%=0.26

The probability that the alumnus would say their experience met expectations=65%=0.65

We have to find the  probability that the alumnus would say their experience surpassed expectations.

We know that

Sum of all probabilities =1

Using the property

The  probability that the alumnus would say their experience surpassed expectations=1-(0.05+0.26+0.65)

The  probability that the alumnus would say their experience surpassed expectation=0.04

Answer:

Even numbers are integers that have 2 as a factor; odd numbers are all the other integers. Prime numbers are integers that have only themselves and 1 as factors. Perfect numbers are integers whose factors add up to the number. The smallest perfect number is 6 and its factors, 1, 2 and 3 add up to 6.

Step-by-step explanation:

Answer:

It is a rectangle

Answer:

x power 2 and -9 is the result

Answer:

53.2

Step-by-step explanation:

Answer:

I did the math and it is now 53.2

Step-by-step explanation:

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

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Answer:

30,000

Step-by-step explanation:

We know that divide the percentage by 100. After that you get the decimal thing then all you do is multiply the number and you get your answer that is  30,000.

Answer: 30,000

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Hope this helps.

Answer:

42.6 ft

Step-by-step explanation:

1 - 4/5 = 5/5 - 4/5 = 1/5

Since 4/5 of the roll was used, 1/5 of the roll is left.

1/5 * 213 ft = 213/5 ft = 42.6 ft

Given the logarithmic equation:

Let's solve for the two potential roots, A and B, where A ≤ B.

Apply the rules of loagarithm:

Thus, we have:

Solving further:

Subtract 25 from both sides of the equation:

Expand using distributive property:

Now solve using the quadratic formula:

To find the values of a, b, and c, apply the general quadratic equation:

Where:

a = 1

b = -2

c = -25

Thus, we have:

Hence, we have the values of A and B:

A = -4.099

B = 6.099

A and B are actually roots.

ANSWER:

A = -4.1

B = 6.1

Yes, A is actually a root

Yes, B is actually a root.

The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

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1. Using the formula for Pearson correlation coefficient, we have:

x y xy x^2 y^2

1 3 3 1 9

1 1 1 1 1

2 3 6 4 9

3 7 21 9 49

3 9 27 9 81

4 5 20 16 25

6 8 48 36 64

6 7 42 36 49

7 10 70 49 100

7 7 49 49 49

n = 10

sum(x) = 40, sum(y) = 53, sum(xy) = 286, sum(x^2) = 214, sum(y^2) = 506

r = [n(sum(xy)) - sum(x)sum(y)] / sqrt{ [n(sum(x^2)) - sum(x)^2][n(sum(y^2)) - sum(y)^2] }

r = [10(286) - (40)(53)] / sqrt{ [10(214) - (40)^2][10(506) - (53)^2] }

r = 0.832 (rounded to 3 decimal places)

2. The critical value (rcrit) for a 2-tailed test with a 0.05 alpha level and 8 degrees of freedom is 0.632 (using a t-distribution table or calculator).

3. The calculated correlation coefficient (r = 0.832) is greater than the critical value (rcrit = 0.632), which means that the correlation is statistically significant. We would reject the null hypothesis and conclude that there is a significant positive correlation between client expectations and satisfaction with therapy sessions.

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Answer:

serían: 1.492 = MCDXCII

Based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves applying mathematical and statistical techniques to extract meaningful insights from data, and to make decisions and predictions based on this information. Statistics is used in a wide range of fields, including business, economics, social sciences, health sciences, engineering, and more. It helps researchers, analysts, and decision-makers to identify patterns, relationships, and trends in data, and to draw conclusions based on statistical evidence.

(a) To test whether the water from this source contains unsafe levels of copper, we need to perform a one-sample t-test with the null hypothesis that the mean copper content in the water is less than or equal to 1.3 mg/l and the alternative hypothesis that the mean copper content in the water is greater than 1.3 mg/l.

The test statistic is calculated as:

t = (x - μ) / (s / √n)

where x is the sample mean (1.36 mg/l), μ is the hypothesized population mean (1.3 mg/l), s is the sample standard deviation (0.18 mg/l), and n is the sample size (30).

Plugging in the values, we get:

t = (1.36 - 1.3) / (0.18 / √30) = 1.47

The degrees of freedom for this test is n - 1 = 29.

Using a t-table or calculator, we find the p-value associated with a t-statistic of 1.47 and 29 degrees of freedom to be approximately 0.076.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence at the 0.05 level to conclude that the water from this source contains unsafe levels of copper.

Conditions for Independence: It is assumed that the water samples are independent of each other. This is because the sample is randomly selected and the size is less than 10% of the population. Also, it is assumed that the copper content in one water sample does not affect the copper content in another water sample.

Conditions for Normality: It is assumed that the distribution of the copper content in the population is approximately normal. We can justify this assumption based on the central limit theorem, which states that the distribution of the sample mean approaches normality as the sample size increases. Since the sample size is 30, we can assume that the sample mean follows a normal distribution. We can also check the normality assumption by creating a histogram or a normal probability plot of the data.

Therefore, based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.

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Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.

Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.

You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.

Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.

Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.

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Answer:

Step-by-step explanation:

Use Pythagorean Theorem for a right triangle.

a^2 + b^2 = c^2

3.6^2 + 4.8^2 = c^2

c = 6cm

The length of y (Hypotenuse) is 6 cm.

We have,

Perpendicular = 3.6 cm

Base = 4.8 cm

Hypotenuse = y

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

So, y² = 4.8² + 3.6²

y²= 23.04+ 12.96

y²=

y= √36

y= 6 cm

Thus, the value of y (Hypotenuse) is 6 cm.

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Total balls: 6 + 4 + 3 = 13

First pick green = total green / total balls = 4/13

adter picking the first ball there are 12 balls left.

Picking red = total red/ total balls left = 6/12 = 1/2

probability of picking both = 4/13 x 1/2 = 4/26 = 2/13

answer: 2/13

Answer:

y = 3x + 2

Step-by-step explanation:

y = mx + b format

the y and x will stay the same

when graphed, the points make a line that intersects with the y-axis at 2. This would be the y - intercept or "b" in our equation.

m stands for the slope of the line which is represented by rise/run. Going left to right, the line is going upwards which means that the slope will be positive. the distance between these given points is rise 3 and run 1. 3/1

3/1 is the same thing as 3 so your slope would be 3.

your final equation would be y = 3x + 2

hope this helps :)

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

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Kayla has already read 45 pages.

Kayla is reading at a rate of 30 pages per day.

John has already read 85 pages.

John is reading at a rate of 10 pages per day.

Their equations can be modeled with

Where m is the slope and b is the y--intercept

Here,

m is the rate at which they are reading per day

b is the amount of pages they have already read

Thus,

Kayla's equation:

m = 30

b = 45

So,

John's equation:

m = 10

b = 85

So,

We need to find the number of days, x, when both have read same amount of pages (which is y). Thus, we equate the expressions for both y's and find x using algebra. Shown below:

After 2 more days, the total number of pages of both Kayla and John would be equal!

The prove that the modus ponens is a valid argument form in correct order is

The complete question is given below:

1. ~p V -(p = q) Vq = (Tp Vq) v-(Tp V q)

2. Since the disjunction of an expression and its negation is always true, Zp V q) v-(-p V q) is a tautology: This completes the proof:

3. ~(p ^ (p + 9)) Vq =-pV (p + 9) Vq 10

4. Using the rule p 7 q =7p V 4, we rewrite the given expression as 12

5. ~(p ^ (p = 4) Vq =-pv-Wpv 9)Vq

6. To prove the validity of the modus ponens, we need to show that (p 5 9) 5 4 is a tautology:

7. We now reorder and re-associate the terms of the last expression by using the associative and commutative laws and apply the rule p v q = 7pV q again: N

8. To prove the validity of the modus ponens; we need to show that (p ^ (p 7 74 is a tautology:

9. (p v q) - 4=-pv 9Vq

10. Using the rule p 4 q =7p ^ q, we rewrite the given expression as 13

11. By the domination law; the last expression is always true: This completes the proof: 11

12 Zp V-(p - 9) Vq = (~p V 9) ^ -(-p V9)

13. We now use one of the rules of De Morgan:

14. (p ^ (p = 9)) - q =-(p ^ (p = 9)) V q

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Answer:  it is c which is the function was stretched by all the factor of 2

hope this help

Answer:

y-2=1/8(x+5)

Step-by-step explanation:

1. Perpendicular lines have opposite slopes. To get the new slope, take the slope of the first line and turn it to make it the opposite reciprocal.

Since it's -8, the opposite of it is 1/8.

2. Now, use point slope: y-y1=m(x-x1). Plug in the values of the ordered pair and the slope into the equation.

y-2=1/8(x+8)

And that's your answer