!! PLEASE HELP!!

Write an equation to model the situation. Then solve the problem. Reggie makes $16 an hour plus $4 for each customer he gets to sign up for a store credit card. Reggie worked 20 hours this week and made $360 before taxes. How many customers did Reggie sign up for a store credit card?

To estimate 179% of 41 by rounding and using the distributive property, the expression would be 1.79 × 41, which is approximately equal to 73.39.

To estimate 179% of 41 by rounding, we can use the following expression: (180% of 40).
First, let's break down the expression step by step.
1. Start with 41, the number we want to find 179% of.
2. Round 41 down to the nearest ten to get 40. This simplifies the calculation.
3. Take 180% of 40. To do this, we first convert 180% to a decimal by dividing it by 100. 180% becomes 1.8. Then, multiply 1.8 by 40 to get the result.
  Calculation: 1.8 * 40 = 72.
In summary, to estimate 179% of 41 by rounding, we use the expression (180% of 40). This is equivalent to multiplying 1.8 by 40, which gives us an answer of approximately 72.

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Answer:

180%(40)D

(100%)(40)+(80%)(40)B

72    B

Step-by-step explanation:

trus

The rationalized expression would be \(\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\).

What is a rationalized expression?

A rationalized expression is an expression that has been written in a simplified form which eliminates any radicals (square roots, cube roots, etc.) from the denominator. The denominator is made a rational number, meaning it can be expressed as a fraction with an integer numerator and denominator. This is done by multiplying both the numerator and the denominator by the radical of the denominator. This process is called rationalization.

The given expression is

                          \(=\frac{\sqrt{9}}{\sqrt{3}+ \sqrt{x} } \\\\=\frac{\sqrt{9} }{\sqrt{3} }+ \frac{\sqrt{9} }{\sqrt{x}}\\\\=\frac{3 }{\sqrt{3} }+\frac{\sqrt{9} }{\sqrt{x}}\\\\=\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\)

Hence, the rationalized expression would be \(\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\).

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The inheritance of genes in sexual reproduction has a major chance component. During meiosis homologous chromosomes separate and migrate to different poles.

The haploid daughter cells each have one allele for each gene, but which allele they have is random. Essentially meiosis is like flipping thousands of coins and getting either a head (one allele) or a tail (the other allele) for each one. At a single locus each parent passes on either a head or a tail with a 50% probability of each.

Over an entire population each allele should be passed on proportionately to its frequency. In other words if 10% of the alleles in a population are A then allele A should show up in 10% of the gametes. However, results do not always follow probability, especially with small sample sizes. The results of one coin flip are independent of the results of the next coin flip.

If a coin is flipped 2 times it is not unlikely that the results will be 2 heads or 2 tails. If a coin is flipped 10 times it is very unlikely that the result will be 10 heads or 10 tails. And if the coin is flipped 100 times it is so unlikely that all the flips will be tails (or heads) that for practical purposes it can be regarded as impossible. Similarly in a small population, random chance can significant change the frequency of alleles in a short time.

In a large population, genetic drift has only very small effects in any generation.

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Actual Question:

Why is genetic drift a more powerful force in small populations?

If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.

If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.

This would lead to an unemployment rate of:

= 12,000 - 8,000

= 4,000 people

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Answer:

36kg

Step-by-step explanation:

The dog eats 16kg per week, which is 32kg in 2 weeks

The cat eats 2kg per week, which is 4kg in 2 weeks

32+4=36

Answer:

Similar

Step-by-step explanation:

Both triangles have corresponding sides, so they are similar.

The two triangles A and B are similar to each other.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Given that triangle, A has side lengths 3,4, and 6. Triangle B had side lengths 6,8 and 12.

The second triangle is dilated by factor 2. This means in triangle B the sides are two times the side of triangle A.

Therefore, the two triangles A and B are similar to each other.

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Answer:

Volume = 12

Step-by-step explanation:

Answer:

12cm³

Step-by-step explanation:

L=3cm

W=2cm

H=2cm

Volume=L*W*H

Volume =3*2*2

=12 cm³

Answer:

distance = independant; time = dependant

Step-by-step explanation:

You are able to change the distance you travel, making it the independant. As you go farther, the time increases, so it is dependant on the distance traveled, therefore it is the dependant.

Answer:

7474747448548

Step-by-step explanation:

I hope this helps

The probability that the sample contains 2 female voters is 0.31104

Binomial distribution uses two values; n and p. n represent the counts of sample that are being collected. On the other hand, p represents the chances of being successful on any trial. Using the two values, the probabilities are computed for binomial distribution.

Probability that a random voter is female is 0.40(p).

Sampled voters are 6(n).

Let X be the number of females in the sampled voters.

Then,

X∼ Bin (n, p)

∼Bin (6,0.4)

Probability that the sample contains exactly 2 female voters is,

P (X =2) = 6C2 (0.4)2 (1−0.4)6−2

=0.31104

Therefore, the probability that the sample contains exactly 2 female voters is 0.31104

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The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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Answer:

the second chaise is the answer

The form of the particular solution is,  y_p(x) = x(A sin(x) + B cos(x)) = x(A sin(x) - 4A cos(x)) = xA(-4cos(x) + sin(x))

To find the particular solution of the differential equation y^4 - 2y" + y = x sin(x), we will use the method of undetermined coefficients.

First, we need to identify the form of the particular solution based on the non-homogeneous term x sin(x). Since sin(x) and cos(x) are solutions of the homogeneous equation y^4 - 2y" + y = 0, we can use the product of x and a linear combination of sine and cosine functions as the form of the particular solution. Therefore, we have:

y_p(x) = x(A sin(x) + B cos(x))

where A and B are coefficients to be determined.

Next, we need to take the first and second derivatives of y_p(x) to plug into the differential equation:

y_p'(x) = A x cos(x) + B x sin(x) + A sin(x) + B cos(x)

y_p''(x) = (B - A) sin(x) + (A + B) cos(x) - 2A x sin(x) - 2B x cos(x)

Substituting these expressions into the differential equation, we get:

(y_p(x))^4 - 2(y_p''(x)) + y_p(x) = (x sin(x))^4 - 2(-2A sin(x) - 2B cos(x)) + x(A sin(x) + B cos(x))

Simplifying this expression, we get:

x^5 sin^4(x) + 4x^3 A sin^3(x) + 4x^3 B sin^2(x) cos(x) + 4x^3 A sin(x) cos^2(x) + 4x^3 B cos^3(x) + x^5 cos^4(x) + x(A sin(x) + B cos(x)) = 2(-2A sin(x) - 2B cos(x)) + x(A sin(x) + B cos(x))

Collecting like terms, we can write the equation as:

x^5 sin^4(x) + x^5 cos^4(x) + x(A sin(x) + B cos(x)) = 8A sin(x) + 8B cos(x)

Equating the coefficients of sin(x) and cos(x) on both sides of the equation, we get the system of equations:

4A + B = 0

A + 4B = 0

Solving this system of equations, we get A = -4B and B = -A/4. Therefore, we can choose any value for A or B, and the other coefficient will be determined by this equation.

Thus, the form of the particular solution is:

y_p(x) = x(A sin(x) + B cos(x)) = x(A sin(x) - 4A cos(x)) = xA(-4cos(x) + sin(x))

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The given question is incomplete, the complete question is:

Set up the form of the particular solution but do not solve for the coefficients for y^4 - 2y" + y = x sin(x)

If a vehicle is traveling at a constant speed, and it takes 1.5 hours to travel 97.5 miles, it will travel 32.5 miles in 30 minutes.

To determine the number of miles the vehicle travels in 30 minutes, we can use the concept of speed (rate) and time.

Given that the vehicle traveled 97.5 miles in 1.5 hours, we can calculate its average speed:

Speed = Distance / Time

Speed = 97.5 miles / 1.5 hours

Speed = 65 miles per hour

Since we know the vehicle's speed, we can calculate the distance it travels in 30 minutes:

Distance = Speed × Time

Distance = 65 miles per hour × 0.5 hours (since 30 minutes is half an hour)

Distance = 32.5 miles

Therefore, the vehicle travels 32.5 miles in 30 minutes.

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Answer:

I believe the answer is x>0.2

The value of x is -8 in the equation.

It should be noted that the information is that the number 80 is the product of "-10" and x.

This will be represented as:

-10 × x = 80

-10x = 80

Divide both side by -10

-10x/-10 = 80/-10

x = -8

Therefore, the value of x is -8.

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Answer:

0, 1.32

Step-by-step explanation:

16cos(t)*sin(t)=4sin(t)

cos(t)=1/4 or sin(t)=0

t=1.32 or 0

Without a diagram or additional information about C, it is impossible to determine the value of m.Tangents to a circle are lines that intersect the circle at exactly one point, called the point of tangency.

The line segment connecting the point of tangency to the center of the circle is perpendicular to the tangent line. However, the value of m depends on the specific measurements and angles of the circle and its tangents, which are not provided in the question. Therefore, a definitive answer cannot be given.
To find the value of m in the diagram with FE and FD as tangents to circle C, you can follow these steps:

1. Identify the angles related to the tangents (FE and FD) and circle C.
2. Use the properties of tangents to determine the relationship between the angles.
3. Set up an equation and solve for m.

1. Since FE and FD are tangents to circle C, they intersect the circle at points E and D, respectively. Let's say the angles formed at these points are ∠FEC and ∠FDC.
2. According to the properties of tangents, the angle formed between a tangent and a chord (a line segment connecting two points on a circle) is equal to half the difference of the intercepted arcs. In this case, the intercepted arcs are the arcs ED and EC. So, we have the following relationship: m = 1/2 (arc ED - arc EC).
3. To solve for m, we need to know the measures of arc ED and arc EC. If this information is given, plug in the values and solve the equation for m.

Without the measures of arc ED and arc EC or additional information, it's not possible to provide a specific value for m. Please provide more details to help you further.

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For the given function f(x) = 5x² + 2x - 3,

Part A: The x-intercepts of the graph f(x) are: (-1, 0) and (3/5, 0).

Part B: The vertex of the graph of f(X) is going to be a minimum and its coordinates are (-0.2, -3.2).

Part C: The values obtained in the part A and Part B are used for graphing the given function. Since the vertex is minimum, the parabola opens upwards.

The x-intercepts of a function or equation are obtained at y = 0.

Then, on substituting y = 0 in the function gives the x-coordinate i.e., the x-intercept.

To calculate the x coordinate of vertex(h, k), use the formula mentioned below:

h = -b/2a

When the function is in the form of ax² + bx + c.

Then, to calculate the y-coordinate of the vertex, substitute obtained h value in the place of x in the function.

Thus, the required coordinates of the vertex are obtained as (h, k).

It is given that,

f(x) = 5x² + 2x - 3

Part A: Finding the x-intercepts:

Substituting y = 0 i.e., f(x) = 0;

⇒ 5x² + 2x - 3 = 0

On simplifying/factorizing,

⇒ 5x² + 5x - 3x - 3 = 0

⇒ 5x(x + 1) - 3(x +1) = 0

⇒ (5x - 3)(x + 1) =0

∴ x = 3/5 or x = -1

Thus, the x-intercepts are (3/5, 0) and (-1, 0).

Part B: Finding the vertex of the given function:

We have h = -b/2a

From the given function 5x² + 2x - 3; a = 5, b = 2 and c = -3

So, h = -2/2(5) = -1/5 = -0.2

Then, on substituting h = x = -0.2 in the function we get

k = 5(-0.2)² + 2(-0.2) - 3

k = -3.2

Thus, the coordinates of the vertex are (h, k) = (-0.2, -3.2).

Since a > 0 i.e., 5 > 0, the vertex of the graph is going to be minimum and the graph of f(x) opens upwards.

Part C: Steps to graph f(X):

Step 1: Plot the x-intercepts in the coordinate plane

Step 2: Plot the vertex of the function

Step 3: draw a curve line passing through them, opening towards up.

Thus, the graph of the given function is plotted as shown below.

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Answer:

Tu recibiste = $1714,3  

Reiner recibió = $857,1

Julio recibió = $3428,6

Step-by-step explanation:

Podemos encontrar el dinero que recibieron todos mediante la siguiente expresión:

\( A + R + C = 6000 \)

Dado que A recibió 2 veces más que el dinero que Reiner y C recibió 4 veces lo que recibió Reiner, entonces:

\( 2R + R + 4R = 6000 \)

\( R = \frac{6000}{7} = 857,1 \)

Ahora, podemos encontar cuanto recbieron los otros dos primos:

\( A = 2R = 2*\frac{6000}{7} = \frac{12000}{7} = 1714,3 \)

\( C = 4R = 4*\frac{6000}{7} = \frac{24000}{7} = 3428,6 \)

Por lo tanto, tu recibiste $1714,3, Reiner recibió $857,1 y Julio recibió $3428,6.  

Espero que te sea de utilidad!                

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

-8 i think

Hope you get it right

Answer:

the absolute value of -l8| is 8

Step-by-step explanation:

Absolute value means the opposite

The probability that the married couple will have adjacent desks is 0.22.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Thus, by Fundamental Principle of Counting, the number of possible arrangements where the married coupe has adjacent desks is 80640.

= 8 x 7! x 2

= 80640

Ans the total number of possible arrangements is 362880.

= 9!

= 362880

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

probability = 80640/362880

probability = 0.22

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According to the given percentages, 18% of the students at the orientation are male arts majors.

The statement correctly calculates that 60% of the students at the orientation are men and 30% are arts majors.

To determine the percentage of students who are male arts majors, we multiply these two percentages together: 60% x 30% = 18%. Therefore, 18% of the students at the orientation are male arts majors.

This calculation follows the principles of probability, where the intersection of two events (being a male and being an arts major) is determined by multiplying the probabilities of each event occurring individually.

In this case, it results in 18% of the students meeting both criteria.


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Question - Sixty percent of the students at an orientation are men and 30% of the students at the orientation are arts majors. Therefore, 60% X 30% = 18% of the students at the orientation are male arts majors.

Answer:

Step-by-step explanation:

The question is not displaying correctly.

4x·3x = 12x²

Answer: 1

Step-by-step explanation:

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

the area of the dartboard is approximately 254.34 square inches.

The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:

Area = π * \(radius^2\)

Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:

Area = π * \(9^2\)

Area = π * 81

To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:

Area ≈ 3.14 * 81

Area ≈ 254.34 square inches

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