Natalia paid $40 for 4 t-shirts and a necklace.
If Natalia paid $12 for the necklace, how much did each shirt cost?

Answer: 1. the probability of both balls being red is 3/8 or 0.375. 2.unlikely to occur

Step-by-step explanation:

Answer:

62.50

Step-by-step explanation:

The event is more likely to occur because there are 4 more red balls than white balls. The probability of 2 white balls selected are 37.50, which means that the probability of 2 red balls selected are 62.50.

Answer:

z = 23

Step-by-step explanation:

62 + 95 = 157

180 - 157 = 23

We may still infer something about their connection, though: the mean function and standard deviation both rise as p approaches 0.5, peaking at their highest levels at p = 0.5.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

A binomial distribution's mean or anticipated value is determined by the formula = np, where n is the number of trials and p is the success probability. The mean is = 8p in this instance since n = 8 and p is a parameter.

The formula for a binomial distribution's standard deviation is = sqrt(np(1-p)). We obtain = sqrt(8p(1-p)) using the same numbers as previously.

So, for this particular issue, we have:

Mean: μ = 8p

[tex]\Sqrt(8p(1-p))[/tex] is the standard deviation.

Since p is unknown, we are unable to determine the actual mean and standard deviation. We may still infer something about their connection, though: the mean and standard deviation both rise as p approaches 0.5, peaking at their highest levels at p = 0.5.

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The answers are given below:

Given the table, we solve for the probabilities:

P(CS Major and Not Hired) = (CS Majors Not Hired) / Total Applicants = 102 / 394

P(CS Major and Not Hired) = 25.9% (e. Joint - 25.9%)

P(Other Major) = (Total Other Majors) / Total Applicants = 234 / 394

P(Other Major) = 59.4% (a. Marginal - 59.4%)

P(Hired | CS Major) = (CS Majors Hired) / Total CS Majors = 58 / 160

P(Hired | CS Major) = 36.25% (d. Conditional - 36.25%)

P(Not Hired | Other Major) = (Other Majors Not Hired) / Total Other Majors = 138 / 234

P(Not Hired | Other Major) = 58.97% (f. Conditional - 58.97%)

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Answer:

110 in 2 hours

Step-by-step explanation:

by using division and knowledge of unit rates, we can divide 220 by 2 and get 110, we also have to divide 4 by 2 which results in 2. hope this helps

The number line that shows the position of each country is added as an attachment

From the question, we have the following parameters to create the number line

See attachment for the label of each tick as a multiple of the power of 10⁷

Next, we represent each country on the number line

See attachment for the completed number line

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The volume of shipping container is calculated as:

c. 3000116 in³ 3000 and 1 sixteenth, in³

The shipping container in this problem has a shape of rectangular prism. To find it's volume, we will apply the formula for the volume of a rectangular prism which is given as:

Volume = length × width × height.

Given the parameters of the shipping container as:

Length = 1512 inches

Width = 1014 inches

height = 2012 inches

Plug in the values:

volume of shipping container = 1512 × 1014 × 2012

= 3.08473402e9 cubic inches.

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At the end of 7 years, Tanner will have a total balance of approximately $3,101.29 in the two accounts.

For the first account with a principal of $1,100 and an annual interest rate of 3% compounded annually, we can use the compound interest formula:

Future Value (FV) = P * (1 + r)^n

where P is the principal, r is the annual interest rate (as a decimal), and n is the number of years.

FV1 = $1,100 * (1 + 0.03)^7

FV1 ≈ $1,100 * (1.03^7)

FV1 ≈ $1,100 * 1.22504

FV1 ≈ $1,347.54

For the second account with a principal of $1,150 and an annual interest rate of 7.5% simple interest, we can use the simple interest formula:

Future Value (FV) = P + P * r * n

where P is the principal, r is the annual interest rate (as a decimal), and n is the number of years.

FV2 = $1,150 + $1,150 * 0.075 * 7

FV2 = $1,150 + $1,150 * 0.525

FV2 = $1,150 + $603.75

FV2 ≈ $1,753.75

Now we add the future values of both accounts together:

Total Balance = FV1 + FV2

Total Balance ≈ $1,347.54 + $1,753.75

Total Balance ≈ $3,101.29

Required value of the given expression (15w/9) + 4w - 6 is (-23)

What is substitution method?

The substitution method is an algebraic method for solving linear simultaneous equations. This method replaces the value of one variable in one equation with another equation. In this way, we can converted a pair of linear equations into a single linear equation with only one variable which can then be easily solved.

Here given expression is (15w/9) + 4w - 6 and value of w is (-3).

We are simply substituting -3 for w and simplify,

(15w/9) + 4w - 6 = (15(-3)/9) + 4(-3) - 6

= (-45/9) - 12 - 6

= -5 - 12 - 6

= -23

Therefore, when w = -3, the value of the expression (15w/9) + 4w - 6 is -23.

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Answer:

The given function f(x) is:

f(x) = { 1, -π < x < 0

{ -1, 0 < x < π

Since the function is odd and has period 2π, the Fourier series will only have sine terms. The Fourier series of f(x) can be written as:

f(x) = Σ[b_n sin(n x)], where n >= 1

where b_n is the n-th Fourier coefficient, given by:

b_n = (1/π) ∫[0,π] f(x) sin(n x) dx

We can evaluate the integral to find the Fourier coefficients:

b_n = (1/π) ∫[0,π] f(x) sin(n x) dx

= (1/π) [ ∫[0,π/2] sin(n x) dx - ∫[π/2,π] sin(n x) dx ]

= (1/π) [ -cos(n x)/n |[0,π/2] + cos(n x)/n |[π/2,π] ]

= (1/π) [ (-cos(n π/2)/n + 1/n) - (cos(n π) - cos(n π/2))/n ]

= (1/π) [ (1 - (-1)^n) / n ]

Therefore, the Fourier series of f(x) is:

f(x) = Σ[(1 - (-1)^n)/(n π) sin(n x)]

Where the sum is taken over all odd integers n.

Answer:

below

Step-by-step explanation:

in the picture in the picture in the picture in the picture in the picture

It is critical to ensure that the requirements for inference are satisfied before doing a two-sample t-test. These criteria include observation independence, normality of the sample distribution, and variance equality.

A test statistic is a number produced by a statistical test. It quantifies how much your observed data deviates from the null hypothesis, which states that there is no association between variables or that there is no difference between sample groups.

Shelby might use a two-sample t-test to assess the difference in the mean caffeine content of a huge coffee between the two types (light and dark) if the conditions for the study are met..

Shelby can take the following steps:

As follows, define the null and alternative hypotheses:

The null hypothesis (H0) states that the caffeine content of a large coffee is the same for both kinds (light and dark) (i.e., the difference in means is zero).

Alternative hypothesis (Ha): The mean caffeine amount of a large coffee for the two varieties (light and dark) is not equal (i.e., there is a nonzero difference in means).

Gather the data:

Shelby must acquire a sample of big coffees, both light and dark, and determine their caffeine level.

Determine the test statistic:

Shelby must compute the test statistic t = (x1 - x2) / (s * sqrt(1/n1 + 1/n2), where x1 and x2 are the sample means, s is the pooled standard n1 and n2 represent the sample sizes.

Determine the p-value:

Shelby may obtain the p-value associated with the estimated test statistic by using a t-distribution table or statistical software.

Make a choice:

Shelby can reject the null hypothesis and conclude that there is evidence that the mean caffeine content of a large coffee for the two kinds (light and dark) is different if the p-value is less than the significance threshold (alpha).

Shelby concludes that there is insufficient evidence to establish a difference in the mean caffeine content of a large coffee for the two varieties (light and dark) if the p-value is larger than the significance level (alpha).

It is critical to ensure that the requirements for inference are satisfied before doing a two-sample t-test. These criteria include observation independence, normality of the sample distribution, and variance equality. If these requirements are not satisfied, nonparametric tests, for example, might be employed instead.

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Standard error of the difference = sqrt[(s1²/n1) + (s2²/n2)]

where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

To estimate the difference in the mean caffeine content of a large coffee of the two types (light-dark), Shelby can follow these steps:

Collect a random sample of large coffees from each type, ensuring that the sample sizes are large enough to meet the conditions for inference. The conditions for inference include the independence of the samples, the normality of the population distributions, and the equality of the population variances.

Compute the sample mean and standard deviation for each sample.

Compute the difference in sample means, which will give an estimate of the difference in population means.

Construct a confidence interval or perform a hypothesis test to determine whether the difference in sample means is statistically significant.

For a confidence interval, Shelby can use the following formula:

(Difference in sample means) ± (t-value)*(Standard error of the difference)

where the standard error of the difference can be computed using the following formula:

Standard error of the difference = sqrt[(s1²/n1) + (s2²/n2)]

where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

For a hypothesis test, Shelby can use the following steps:

State the null and alternative hypotheses.

Determine the level of significance and the appropriate test statistic (t-test).

Calculate the test statistic using the following formula:

t = (Difference in sample means) / (Standard error of the difference)

Determine the p-value associated with the test statistic using a t-distribution table or statistical software.

Compare the p-value to the level of significance to determine whether to reject or fail to reject the null hypothesis.

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Answer :

a) It is given that

Everyday a machine makes 500000 staples and puts them into the boxes.

The machine need 170 staples to fill a box

One box contans = 170 staples.

Total number of staples = 500000

Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.

[tex] \: :\implies [/tex] 500000 /170

[tex] :\implies \: [/tex] 2941 (approx)

Therefore, 2941 boxes are required to fill with 500000 staples.

b) It is given that,

Each staple is made of 0.21 g of metal .

Total weight of metal = 1 kg = 1000 g

1 staple = 0.21 g

Number of staples = weight of metal/ Weight of 1 staple.

[tex] \: :\implies [/tex] 1000/0.21

[tex] \: :\implies [/tex] 4761 (approximately)

Therefore, 4761 staples can be made from 1 kg of the metal.

Answer: The answer is C

Answer:

  C.  (2x+3)/(x+2)

Step-by-step explanation:

You want the expression representing f(x)/g(x) where f(x) = 2x² -x -6 and g(x) = x² -4.

The ratio of the functions can be simplified by canceling common factors.

  [tex]\dfrac{f(x)}{g(x)}=\dfrac{2x^2-x-6}{x^2-4}=\dfrac{(x-2)(2x+3)}{(x-2)(x+2)}=\boxed{\dfrac{2x+3}{x+2}}\qquad\text{matches choice C}[/tex]

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Answer:

63 cm²

Concept used:

Area of a parallelogram = b · h

(b: base and h: height of the parallelogram)

Step-by-step explanation:

The given figure is a parallelogram.

Required Area = 9 * 7

= 63 cm²

Answer:g=23/16

Step-by-step explanation: The negative number adds up.

Answer:

Step-by-step explanation:

Product means multiply.

-300

The solution of the logarithmic equation is v = 0.00137

Here we want to solve the logarithmic equation:

log₃(v) = -6

Remember that:

logₐ(x) = ln(c)/ln(a)

Then we can rewrite the equation as follows:

log₃(v) = -6

ln(v)/ln(3) = -6

ln(v) = -6*ln(3)

Now we can apply the exponential equation in both sides, we will get.

exp(ln(v)) = exp(-6*ln(3))

v =  exp(-6*ln(3))

v = 0.00137

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Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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Esta es la pendiente de la recta tangente a la curva f(x) en el punto x = a.

La tangente de una derivada no es una operación matemática bien definida. Supongo que lo que se quiere encontrar es la pendiente de la recta tangente a la curva representada por la función f(x) cuya derivada es f'(x) = 6x^2 - 6x - 12 en algún punto x = a.

La pendiente de la recta tangente a la curva f(x) en el punto x = a está dada por la derivada de f(x) evaluada en ese punto, es decir:

m = f'(a)

Entonces, para encontrar la pendiente de la recta tangente a la curva de la función f(x) en el punto x = a, tenemos que evaluar f'(x) en x = a:

m = f'(a) = 6a^2 - 6a - 12

donde f(a) es el valor de la función en el punto x = a.

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Answer:A quart contains 4 cups or 2 pints while a gallon contains 16 cups or 8 pints. Hence, a liquid gallon is equal to 4 liquid quarts.

Step-by-step    please give me brainiest and have a nice day :)

Answer:

b.59

Step-by-step explanation:

this is the answer of whats you want

Answer:

Step-by-step explanation:

The equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.The price for t-shirts = $12 eachThe price for the sweatshirt = $15 eachLet's suppose x number of t-shirts and y number of sweatshirts bought.Then,12x + 15y = 120The equation represents the total number of t-shirts and sweatshirts bought if spend $120Thus, the equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120

Answer:

Therefore, the value of the truck 12 years after it was purchased is approximately $1,624.

Step-by-step explanation:

To find the value of the truck after 12 years, we need to apply the seven-eighths decrease to the original value each year. Let's set up an equation:

Value after 12 years = $58,000 x (7/8)^12

Simplifying, we get:

Value after 12 years = $58,000 x 0.028

Value after 12 years = $1,624

Therefore, the value of the truck 12 years after it was purchased is approximately $1,624.

The graphs of functions f(x) and g(x) compare as -

Option B: They have the same y-intercept, but the graph of g(x) rises more quickly over time.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The function f(x) is given as [tex]f(x)=500(1.015)^x[/tex].

The function f(x) is given as [tex]g(x)=500(1.021)^x[/tex].

The y-intercept of both functions is 500, which represents the initial amount in the savings accounts.

To compare the rates at which the functions rise over time, we need to compare their growth factors, which are 1.015 and 1.021 for f(x) and g(x), respectively.

Since 1.021 is greater than 1.015, the function g(x) grows at a faster rate than f(x).

Therefore, the correct answer is -

Option B: They have the same y-intercept, but the graph of g(x) rises more quickly over time.

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The correct answer is c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model.

Pseudo R-squares, such as the one used in logistic regression, are measures of how well the model fits the data, but they cannot be directly compared to R-squared values from other types of regression models. Therefore, we cannot conclude that the logistic regression model with a pseudo R-Square of 60% is better than another logistic regression with an R-square (CS) of 50% or a multiple linear regression model with an R-square of 55%. However, we can say that 60% of the variation in the data can be explained by the logistic regression model, based on its pseudo R-Square value.

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The percentage of females that do not satisfy the requirement is given as follows:

55.17%.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given as follows:

[tex]\mu = 998, \sigma = 202[/tex]

The proportion that does not satisfy the requirement is the p-value of Z when X = 1025(proportion less than 1025), hence:

Z = (1025 - 998)/202

Z = 0.13

Z = 0.13 has a p-value of 0.5517.

Hence the percentage is given as follows:

0.5517 x 100% = 55.17%.

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To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer:

Robert's semi-monthly salary is $2,500. This means he earns $5,000 per month. The Medicare tax rate is 1.45%, so his employer pays 1.45% of his salary for Medicare tax. This is equal to $72.50 per month. Since he is paid semi-monthly, his employer pays $36.25 for his Medicare tax each pay period. Therefore, the answer is C. $36.