7. Allan ate 28 jelly beans. Alexis ate 75% of the amount that Allan ate. How many Jelly beans did Alexis eat?​

Answer:

5)

x=13.856

y=8

6)

u=4

v=3.464

Step-by-step explanation:

5)

y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

y = 16*sin(30)/sin(90)

y=8

x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)

x=16*sin(60)/sin(90)

x=13.856

6)

sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)

sin(90)/u= sin(30)/2

u *sin(30) = 2* sin(90)

u *sin(30) = 2

u=2/sin(30)

u=2/0.5

u=4

sin(60)/v= sin(30)/2

v *sin(30) = 2* sin(60)

v *sin(30) = 2 * 0.866

v * sin(30) = 1.73

v = 1.73/sin(30)

v = 3.464

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[5] x = 8 and y =  13.856

[6] v = 4 and u = 3.464

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

[5]

sin60° = x/16 = 1/2

x = 16/2 = 8

cos60° = y/16 = √3/2

y = 16√3/2 = 8√3

Can also be : 8√3 = 13.856

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

[6]

sin30° = 2/u = 1/2

u = 2 x 2 = 4

tan30° = 2/v = √3

v = 2√3

can also be:  2√3= 3.464

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

~lenvy~

Answer: 6x + y = 16

Step-by-step explanation:

Answer:

-12k + 24

Step-by-step explanation:

-3 × -8 = 24

-3 × 4k = -12k

At an 8 percent discount rate, the present value of the cash flows is approximately $1,722,536.39. At a 16 percent discount rate, the present value is approximately $1,072,736.15.

To calculate the present value of the stream of cash flows, we need to discount each cash flow to its present value using the appropriate discount rate.
At an 8 percent discount rate:
The first payment of $150,000 is made immediately and does not need to be discounted. Its present value is $150,000.
For the remaining 19 payments of $150,000 each, we can use the formula for the present value of an ordinary annuity:

PV = PMT * [1 - (1 + r)^(-n)] / r
Where:

PV = Present value
PMT = Payment amount per period ($150,000)
r = Discount rate per period (8% or 0.08)
n = Number of periods (19)

Using this formula:
PV = $150,000 * [1 - (1 + 0.08)^(-19)] / 0.08
PV ≈ $1,722,536.39
Therefore, the present value of the cash flows at an 8 percent discount rate is approximately $1,722,536.39.

At a 16 percent discount rate, we repeat the same calculations:

PV = $150,000 * [1 - (1 + 0.16)^(-19)] / 0.16
PV ≈ $1,072,736.15
Therefore, the present value of the cash flows at a 16 percent discount rate is approximately $1,072,736.15.

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If 8% is the appropriate discount rate, the present value of this stream of cash flows is approximately $1,375,320.

To calculate the present value of a stream of cash flows, we can use the formula for the present value of an annuity. The formula is:

\(PV = C * [(1 - (1 + r)^(-n)) / r]\)

Where:

PV = Present value

C = Cash flow per period

r = Discount rate per period

n = Number of periods

In this case, the cash flow per period (C) is $150,000, the discount rate (r) is 8% (or 0.08), and the number of periods (n) is 19.

Let's calculate the present value using these values:

PV = $150,000 * \([(1 - (1 + 0.08)^(-19)) / 0.08]\)

PV ≈ $150,000 * [(1 - 0.2665) / 0.08]

PV ≈ $150,000 * (0.7335 / 0.08)

PV ≈ $150,000 * 9.1688

PV ≈ $1,375,320

Therefore, if 8% is the appropriate discount rate, the present value of this stream of cash flows is approximately $1,375,320.

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The value of y can be determined as,

Thus, the required value of y is 3900.

The null hypothesis in this case would be that the average US citizen has not eaten over 100 pizzas in their lifetimes.

In statistical hypothesis testing, the null hypothesis is a statement that there is no difference or relationship between the variables being tested. It is often represented as H0 and is used as a baseline for comparison with the alternative hypothesis, which is the statement that the researcher is trying to prove.

In this case, the alternative hypothesis is that the average US citizen has eaten over 100 pizzas in their lifetimes. The null hypothesis would be the opposite of this statement, stating that the average US citizen has not eaten over 100 pizzas in their lifetimes.

The researcher would then collect data and use statistical analysis to determine whether there is enough evidence to reject the null hypothesis and support the alternative hypothesis.

If the data supports the alternative hypothesis, the researcher can conclude that the average US citizen has indeed eaten over 100 pizzas in their lifetimes. If the data does not support the alternative hypothesis, the researcher cannot reject the null hypothesis and cannot conclude that the average US citizen has eaten over 100 pizzas in their lifetimes.

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Answer: Chicanery

Step-by-step explanation:

Trickery and unfair practices are referred to as chicanery

The measure of the missing side length x in the right triangle is approximately 2.7.

The figure in the image is a right triangle with one of interior angle at 90 degrees.

From the figure:

Angle θ = 67 degrees

Hypotenuse = 7

Adjacent to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: cosine = adjacent / hypotenuse

Hence:

cos( θ ) = adjacent / hypotenuse

Plug in the values and solve for x:

cos( 67 ) = x / 7

Cross multiplying, we get:

x = cos( 67 ) × 7

x = 2.7

Therefore, the value of x is 2.7.

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Based on mathematical operations, the total package of figs to purchase is 10.

The number of packets of fig that the recipe will require is determined through unit conversions, using the mathematical operations of multiplication and division.

After converting 2 pounds to grams by multiplication, the total grams are divided by 100 to determine the number, approximated to the nearest whole.

The quantity of figs for the recipe = 2 pounds

1 packet of figs = 100 grams

1 pound = 16 oz

1 oz = 28.4 grams

1 pound = 454.4 grams (16 x 28.4)

2 pounds = 908.8 grams (454.4 x 2)

The number of packets of figs to buy = 10 (908.8/100)

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Answer:

1 round of wire = 25m

5 rounds of wire = 5×25m

                            = 125m

1m = 100cm

125m = 12500cm

Given:

Original level of cholesterol = 300

Cholesterol level reduced by 13% .

To find:

His present cholesterol level.

Solution:

According to the question,

Present cholesterol level = Present cholesterol level - 13% of Original level

\(\text{Present cholesterol level}=300-\dfrac{13}{100}\times 300\)

\(\text{Present cholesterol level}=300-39\)

\(\text{Present cholesterol level}=261\)

Therefore, the present cholesterol level of Brian is 300.

The average time in minutes a customer spends waiting in line for service is  5.49 minutes, so the correct answer is D. none of the choices listed.

We can use Little's Law to find the average time a customer spends waiting in line for service:

Average time in line = (Average number of customers in line) / (Service rate)

To find the average number of customers in line, we can use the formula for the M/M/1 queuing system:

Lq = (ρ²) / (1 - ρ)

where

Lq is the average number of customers in the queue

ρ is the utilization of the server, which is equal to the arrival rate divided by the service rate

So, ρ = (Arrival rate) / (Service rate) = 28/35 = 0.8

And, Lq = (0.8^2) / (1 - 0.8) = 0.64 / 0.2 = 3.2

Now we can use Little's Law:

Average time in line = (Average number of customers in line) / (Service rate) = 3.2 / 35

Converting hours to minutes, we get:

Average time in line = (3.2 / 35) * 60 = 5.49 minutes

So the answer is D. none of the choices listed.

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Answer:

178.3 ft

Step-by-step explanation:

Since you have the angle 27 and the side length of 350 you can set up a proportion that is Tan(27)=y/350. You can solve from this to 350*tan(27)=y and then simplify to 178.3.

Answer:

y =178.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 27 = y/350

350 tan 27 = y

178.3339073=y

Round to the nearest tenth

y =178.3

Answer:

2

Step-by-step explanation:

i am not sur but 12 5 = 2?

Answer:

f(x)=(6x+6)(x+10)

Explanation:

Given the quadratic expression:

First, we can rewrite it in the form below:

Next, factor the terms:

Thus, the quadratics as a product of two binomials is:

General rules people unconsciously follow in estimating probabilities are known as heuristic.

According to the statement

we have to explain all about the term by which people unconsciously follow in estimating probabilities.

So, For this purpose, we know that the

A heuristic, or heuristic technique, is any approach to problem-solving that uses a practical method or various shortcuts in order to produce solutions that may not be optimal but are sufficient given a limited time frame or deadline.

By this way, we solve the probabilities without any formula of probability.

In other words it is a method which solves the every problem without any formula.

So, General rules people unconsciously follow in estimating probabilities are known as heuristic.

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To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

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"A medical study is conducted to determine which migraine treatment, A or B, provides faster relief. " For the question "Are the conditions for inference met?" we say No, the 10% condition is not met. This is further explained below.

Generally, the confidence interval is simply defined as a predetermined interval across which some parameter has a certain chance of falling

In conclusion, with a resultant confidence interval of; confidence interval ( -8.373, -3.627) For the hypothesis test question "Are the inference requirements met?" Our company is certain that the 10% threshold has not been reached.

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Answer:

the answer is 589.4

Step-by-step explanation:

In doing this equation you do the order of operations:

(2.1 x 104)= 218.4

(3.5 x 106)= 371

you then add the answers together to get:

218.4 + 371 = 589.4

The equation of the plane that passes through the point (8,13,4) and is parallel to the plane x+y+z=3 is 7x + 6y - z = 77.

To find the equation of a plane parallel to a given plane, we can use the fact that parallel planes have the same normal vector. The normal vector of the plane x+y+z=3 is (1,1,1), as the coefficients of x, y, and z represent the direction perpendicular to the plane.

We know that the desired plane passes through the point (8,13,4), so we can use this point along with the normal vector to form the equation of the plane using the point-normal form.

Using the point-normal form, the equation of the plane is given by:

(x - 8, y - 13, z - 4) · (1,1,1) = 0

(x - 8) + (y - 13) + (z - 4) = 0

x + y + z = 25

However, we want a plane parallel to the given plane x+y+z=3, so we can multiply the equation by a constant to obtain a parallel plane. In this case, we can multiply each term by 7 to get:

7x + 7y + 7z = 175

Finally, we can simplify the equation to get the desired form:

7x + 6y - z = 77

Therefore, the equation of the plane that passes through (8,13,4) and is parallel to x+y+z=3 is 7x + 6y - z = 77.

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Yes one and six tenths is to four as two and four tenths is to six

In some contexts, "is to" can mean division. For example, if you say "5 is to 10 as x is to 20," you could interpret that as a proportion, where the ratio of 5 to 10 is equal to the ratio of x to 20. This can be rewritten as:

5/10 = x/20

Now

To solve this problem, we can use proportions.

One and six tenths is equivalent to 1.6, and two and four tenths is equivalent to 2.4.

Let x be the number that corresponds to "is to" in the second part of the statement. Then, we can set up the following proportion:

1.6/4 = 2.4/x

We can cross-multiply to get:

1.6x = 9.6

And then solve for x:

x = 6

So in this case, "is to" did involve division. However, "is to" doesn't always mean division and its meaning can depend on the context in which it is used.

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Mixed methods research tends to be more complex when compared to quantitative and qualitative research respectively. This is because mixed methods research combines both quantitative and qualitative research methods in a single study.

Quantitative research involves the collection and analysis of numerical data, while qualitative research involves the collection and analysis of non-numerical data, such as words, images, and sounds.

Mixed methods research, on the other hand, involves the collection and analysis of both types of data. This requires the researcher to have a deeper understanding of both quantitative and qualitative research methods, as well as the ability to integrate the two types of data in a meaningful way.

Furthermore, mixed methods research often involves the use of multiple data sources, multiple research methods, and multiple levels of analysis. This adds an additional layer of complexity to the research process.

As a result, mixed methods research tends to be more complex than either quantitative or qualitative research alone.

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The equation used is 3 (x - 5) = 60, the cost of each rashguard at full price is $25

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Price of rash guard on sale =$5

Number of rashguard miguel purchased= 3

Now, Let the full price of each rashguard be x,

Rashguards sell for $5 less than full price;

x - 5

Miguel purchases 3 rashguards and pays a total of $60;

3 (x - 5) = 60

x - 5 = 60 / 3

x - 5 = 20

x = 20 + 5

x = 25

Therefore, the algebraic solution for x will be 25;

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In the given question, the original claim is that More than 445 of adults would orase all of their personal information online if they could. We need to test whether this claim is true or not.

Given information is as follows:Assume a significance level of \(α=0.05\)and is the given information for complete parts (a) and (b) below?The hypothesis test results in a P-value of 0.02692.Solution:Part (a)We are given the following claim to test:\(H0: p ≤ 0.445 (claim)Ha: p > 0.445\) (opposite of claim)Where p is the true population proportion of adults who would share all their personal information online if they could.

Here, H0 is the null hypothesis and Ha is the alternative hypothesis.The significance level (α) = 0.05 is also given. The test is to be performed using this α value.The given P-value is P = 0.0269b2.Since P-value is less than the level of significance, we can reject the null hypothesis and conclude that there is enough evidence to support the alternative hypothesis at the given significance level.

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The answer is z test.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

Here the data is normally distributed and using the sample mean.

Hence we should use z test when computing a confidence interval

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Answer:

C

Step-by-step explanation:

rounding

The value of the inequality is ( 45/4 , 19/4 )

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

According to the given information

Number of hours spent in washing cars = x

Number of hours spent in clearing tables = y

Amount paid per hour for washing the car = $7

Amount paid per hour for clearing the tables = $15

Earnings

7x + 15y ≥ 150

x + y ≤ 16

7x + 15y = 150 ........ (i)

x + y = 16 ........(ii)

Multiply (ii) by 7

7x + 7y = 112 ..... (iii)

Subtract (i) and (iii)

8y = 38

y = 19/4

Putting the value of y in (ii)

x + 19/4 = 16

x = 16 - 19/4

x = 45/4

The value of the inequality is ( 45/4 , 19/4 )

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