Alicia cashed half of her paycheck and set aside the other half to take her friends out to dinner. She spent 42.15 on dinner and brought home more than 20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia’s paycheck.

The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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Answer:

The answer is C, 1,500.

Step-by-step explanation:

There are 80% that know one language.

There are 10% that know two languages.

*There are 5% that know three languages.

*There are 3% that know four languages.

*There are 2% that know five languages.

5% + 3% + 2% = 10%

15,000 x .10 = 1,500

Complete question :

Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remaining debt was $6460. How much did Wang Yong pay each month?

Answer:

$170

Step-by-step explanation:

Given that:

Amount owed = $8500

Fixed amount replayed per month :

Amount left after 12 months = $6460

Amount paid per month :

Total amount paid over 12 months :

$(8500 - 6460) = $2040

Amount paid per month :

$2040 / 12

= $170

Answer:

Part A. Yong payed $170 dollars every month.

Part B. He took 50 months to pay his debt.

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

120 sweets

Step-by-step explanation:

Bri:Jim:Kru

4: 3: 1

find the difference in the ratio of Bridget and Krutika

4-1=3

ratio 3 is equivalent to 45 sweets

total ratio(4+3+1)--------> ?

total no. of sweets= 8x45

3

=120sweets

The function is odd, since

f(-x) = (-x)³ + (-x)

… = (-1)³ x³ - x

… = -x³ - x

… = -(x³ + x)

… = - f(x)

so the answer is B.

9514 1404 393

Answer:

  BC = 35

Step-by-step explanation:

The sum of the segments is the overall length.

  AB +BC = AC

  (2x +6) + (6x +5) = 51 . . . . substitute given values

  8x +11 = 51 . . . . . . . . . . . . . collect terms

  8x = 40 . . . . . . . subtract 11

  x = 5 . . . . . . . . . divide by 8

  BC = 6x+5 = 6(5) +5 . . . . . . . . use the value of x to find BC

  BC = 35

It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

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Answer:

\(x = -\frac{1}{3}\)

Step-by-step explanation:

I hope this helps!

The Median is $34.99.

It is required to find the median.

The median is the middle value in a set of data. First, organize and order the data from smallest to largest. The median is the value separating the higher half from the lower half of a data sample.

Given:

The data below :

$19.99, $8.99, $35.99, $49.99, $49.99, $39.99, $99.99, $79.99, $35.99, $19.99, $49.99, $29.99, $49.99, $59.99, $35.99, $49.99, $19.99, $8.99, $29.99, $35.99

The middle numbers are $19.99 and $49.99, add them both and divide by 2 we have,

Median

=$19.99 +$49.99/2

= $34.99.

Therefore, the Median is $34.99.

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Answer: the answer should be 4

To solve these equations let us consider x^2 = y Then x^4 = y^2.

Now,

(c). 6y^2 - 5y + 1 = 0

Now, the solution will be

Hence this is the required solution.

(d). y^2 - 4y - 5 = 0

Now the solution will be

Hence this is the required solution.

Answer:

y output = 1

Step-by-step explanation:

If you look at the image, look where x equals -9. Look at what points are on that line called x=-9. We see the x=-9 line intersects the blue line system at (-9,1). We now know that the y output for x input being -9, is 1.

Hope this helps(would be grateful if you would make my answer branliest because I need brainliest answers for leveling up.)

The property that makes convex polygons convenient for use in NavMeshes is:

c) Any two points in the polygon can be connected by a straight line that is contained inside the polygon.

Convex polygons have the characteristic that all internal angles are less than 180 degrees. This property ensures that any two points within the polygon can be connected by a straight line that lies entirely inside the polygon. This makes it easier to compute paths and perform navigation calculations within the polygon, as there are no obstacles or concavities to navigate around.

Options (a) and (b) are not necessarily true for convex polygons. Convex polygons can have a small or large number of vertices and can be of varying sizes. The convenience of convex polygons lies in their shape rather than the number of vertices or their size.

Option (d) is not entirely accurate. While many levels or environments may have predominantly convex regions, it is not always the case. Non-convex areas or obstacles can still exist within a level, and additional computation or algorithms may be required to handle those cases in the navigation system.

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volume : 7.5 cm²

\(\hookrightarrow \sf Length \ * Width \ * \ Height\)

\(\hookrightarrow \sf 2 \ * 1\dfrac{1}{4} \ * \ 3\)

\(\hookrightarrow \sf 2 \ * \dfrac{5}{4} \ * \ 3\)

\(\hookrightarrow \sf \dfrac{15}{2}\)

\(\hookrightarrow \sf 7.5 \ cm^2\)

Answer:

\(\sf volume=7 \frac12 \ cm^3\)

Step-by-step explanation:

Formula

volume of cuboid = length × width × height

Given dimensions of the ice cube:

Substituting the given values into the formula:

\(\sf \implies volume=2\times 1 \frac14 \times 3\)

Converting to improper fractions:

\(\sf \implies volume=\dfrac21\times \dfrac54 \times \dfrac31\)

                  \(\sf =\dfrac{ 2\times 5 \times 3}{1 \times 4 \times 1}\)

                  \(\sf =\dfrac{30}{4}\)

Dividing the numerator and denominator by the highest common factor:

\(\sf \implies volume=\dfrac{30 \div 2}{4 \div 2}\)

                  \(\sf =\dfrac{15}{2}\)

Converting the improper fraction into a mixed number:

\(\sf \implies volume=7 \frac12 \ cm^3\)

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

Usando un sistema de ecuaciones, hay que Roberto tiene $250 y Monica tiene $100.

Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.

En este problema, las variables són:

Roberto y Mónica tienen, entre los dos, $ 350, por eso:

x + y = 350 -> y = 350 - x

La media de lo que tiene Roberto más lo de Mónica es $ 225, por eso.

0.5x + y = 225

0.5x + 350 - x = 225

0.5x = 125

x = 250

y = 350 - x = 100

Roberto tiene $250 y Monica tiene $100.

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Answer:

x=7.1429 I think that's the answer and I think it's A

Answer:

9x + 10 = 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define Equation

5 + 2x + 5 + 7x = 3

Step 2: Simplify

Answer:

9x+10=3

Explantion

(2x+7x)+(5+5)=3

= 9x+10=3

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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the first one is x^2 + 4x + 3

the second one is x^2 + 4x + 3

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

it is false it wont let me post this till i put 20 caracters

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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By using quadratic formula we solve 9n² = 4 + 7n, we get \(n = \frac{7 \pm \sqrt{193} }{18}\)

Quadratic formula is the simplest way to find the roots of a quadratic equation. There are certain quadratic equations that cannot be easily factorized, and here we can conveniently use this quadratic formula to find the roots in the quickest possible way. The roots of the quadratic equation further help to find the sum of the roots and the product of the roots of the quadratic equation. The two roots in the quadratic formula are presented as a single expression. The positive sign and the negative sign can be alternatively used to obtain the two distinct roots of the equation.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = \(\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\)

Given:

The equation:

9n² = 4 + 7n

First rearrange the terms

9n² = 4 + 7n

9n² 7n + 4

9n² = 7n + 4

9n² - 7n - 4 = 0

By using quadratic formula, we get

a = 9, b = - 7, c = - 4

n = \(\frac{-(-7) \pm \sqrt{(-7)^2 - 4 .9.(-4)} }{2.9}\)

\(n = \frac{7 \pm \sqrt{(-7)^2 - 4.9.(-4)} }{2.9}\)

\(n = \frac{7 \pm \sqrt{49 - 4.9(-4)} }{18}\)

\(n = \frac{7 \pm \sqrt{49 + 144} }{18}\)

\(n = \frac{7 \pm \sqrt{193} }{18}\)

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

\(n = \frac{7 + \sqrt{193} }{18}\) or \(n = \frac{7 - \sqrt{193} }{18}\)

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Answer:

c.y=x^2

Step-by-step explanation:

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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Answer: that’s 5

Step-by-step explanation:

Triangle OKW similar to triangle OJP by angle-angle or AA or

ΔOKW ~ ΔOJP by AA.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

According to the given question:

KW is perpendicular to JO, JP is perpendicular to KO.

KN intersects with JP=Q.

Hence,

Angle JPO = Angle OWK = 90 degrees

By using the reflexive property:

Angle O = Angle O

Thus, triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

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