Seth is saving his money. He started with $75.00. If he adds
$25.00 to his savings each month, how much will he have
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The area of the shaded portion of the circular disc is  112.255 cm².

A circle is a bounded object in which points from its center to its circumference is equidistant.

The area of the shaded portion is the difference between the area of the circular disc and the area of the circular hole.

Area of a circle = πr²

Where :

π = pi = 3.14

R = radius

Area of the circular disc = 3.14 x 6²

Area of the circular disc = 3.14 x 36

Area of the circular disc = 113.04 cm²

Area of the circular hole = 3.14 x 0.5²

Area of the circular hole = 3.14 x 0.25

Area of the circular hole = 0.785 cm²

Area of the shaded portion = area of the circular disc - area of the circular hole

Area of the shaded portion = 113.04 cm² -  0.785 cm²

Area of the shaded portion = 112.255 cm²

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Answer:

$25.5

Step-by-step explanation:

Answer:

For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:

\( \frac{8}{18}\)

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

\( \frac{10}{17}\)

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

\(\frac{7}{16}\)

Sinally since the events are independent the total probability would be:

\( \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114\)

Step-by-step explanation:

For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:

\( \frac{8}{18}\)

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

\( \frac{10}{17}\)

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

\(\frac{7}{16}\)

Sinally since the events are independent the total probability would be:

\( \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114\)

Answer:it’s A

Step-by-step explanation:

did the test

The following ordered pairs are found by using a graphing tool: (- 2, 2), (4, 2), (- 6, - 2), (8, - 2), (- 6, - 8), (8, - 8), (- 2, -12), (4, - 12)

In this question we know that a line segment has a length of √58 units and the location of the end point K is K(x, y) = (1, - 5) and we need to determine the possible of the end point L on the assumption that the coordinates are integers. A possible approach is to use the Pythagorean theorem to determine the family of points that fulfill the requirements from statement:

58 = (x - 1)² + (y + 5)²

This formula resembles a circle, then we find the limits of the expression:

x = 0

58 = 1² + (y + 5)²

57 = (y + 5)²

y + 5 = ± √57

y = - 5 ± √57

- 12.549 ≤ y ≤ 2.550

y = 0

58 = (x - 1)² + 5²

33 = (x - 1)²

x - 1 = ± √33

x = 1 ± √33

- 4.745 ≤ y ≤ 6.745

Then, we find the following ordered pairs by using a graphing tool:

(- 2, 2), (4, 2), (- 6, - 2), (8, - 2), (- 6, - 8), (8, - 8), (- 2, -12), (4, - 12)

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Answer:

Step-by-step explanation:

Answer:

i dnt know what you are asking for but if it is area it will be the area times 5/6

Step-by-step explanation:

Step-by-step explanation:

5(2h+8) <60

10h +40< 60

10h + 40-40 < 60-40

10h < 20

10h/10 < 20/10

h < 2

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

3. x = 5

4. -5 1/25

Step-by-step explanation:

-3x+5=-10

Subtract the 5 from both sides...

-3x = -15

Divide by -3

x = 5

For 4, it's just multiplying.

-2 4/5 in improper form is -14/5

1 4/5 in improper form is 9/5

-14/5 x 9/5 is -126/25

-126/25 can be -5.04 or -5 1/25.

Answer:

3. a (x=5)

4. -126/25

Step-by-step explanation:

3. -3x+5=-10

-3x=-10-5

-3x=-15

x=5

4.  -(-2 4/5) x 1 4/5

(-14/5) x 9/5

= -126/25

As per the concept of standard deviation, the probability of a defect is 0.6346 or 63.46%.

Using a z-score table or a calculator, we can find that the z-score corresponding to the lower limit of the acceptable range is -1, and the z-score corresponding to the upper limit of the acceptable range is 1.

Next, we need to find the area under the normal distribution curve outside of the acceptable range. This can be done by subtracting the area under the curve between the lower and upper limits from 1 (since the total area under the curve is 1).

Using a calculator or a standard normal distribution table, we can find that the area under the curve between -1 and 1 is approximately 0.6827. Therefore, the area outside of the acceptable range is 1 - 0.6827 = 0.3173.

Finally, we can convert this area to a probability by multiplying by 2 (since we are interested in the probability of units with weights less than or greater than ounces) to get 2 x 0.3173 = 0.6346 or 63.46%.

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Answer:

As the biker starts riding from home at a increasing speed and then stopping off to visit a friend

Answer:

Para reconocer el numero medido entre los dos números marcados podemos medir la "distancia" o diferencia entre ellos.

Para ello, simplemente debemos calcular la diferencia, entonces tenemos:

Barra de metal:

Los extremos son 3.5 y 3.6, la diferencia es:

3.6 - 3.5 = 0.1

Lamina de cartón:

Los extremos son 0.17 y 0.18, la diferencia es:

0.18 - 0.17 = 0.01

Tira de madera:

Los extremos son 1.24 y 1.25, la diferencia es:

1.25 - 1.24 = 0.01

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

number 3

Step-by-step explanation:

The mathematically appropriate way to say 1.27 is "one and twenty-seven hundredths," option E is the correct answer.

When expressing numbers with decimal places, it is important to use the appropriate mathematical terminology to ensure clarity and precision. The number 1.27 can be expressed as "one and twenty-seven hundredths."

The digits after the decimal point represent fractions of a whole number, with each digit to the right of the decimal point representing a power of ten that is one-tenth the value of the previous digit.

Using the correct terminology when discussing numbers with decimal places can help avoid confusion and miscommunication. In particular, expressing the fractional component using hundredths is often preferred when working with financial or scientific data.

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1+1=

Step-by-step explanation:

what are the free things

pls give me brainliest

The tension in the string connecting blocks 2 and 3 depends on the masses of the blocks and the acceleration of the system.

The tension in the string is determined by the net force acting on block 2. Since block 3 is on a smooth table with negligible friction, the only horizontal force acting on block 2 is the tension in the string. According to Newton's second law, the net force on an object is equal to the mass of the object multiplied by its acceleration. In this case, the acceleration of the system is determined by the weight of block 2 and block 3 and the force of static friction between block 1 and the floor. By considering the forces acting on block 2, we can set up an equation using the relationship between tension and the mass and acceleration of block 2 to solve for the tension in the string.

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"What is the significance of the invention of the printing press in the 15th century, and how did it impact the spread of knowledge and information during that time?"

Answer:

Leonard’s balance is −$8.00.

Step-by-step explanation:

Answer:

x=-1/3

Step-by-step explanation:

The test statistic for this test is 3.09.

To calculate the test statistic for this test, we need to use the formula:

t = \((\bar x - \mu) / (s /\sqrt n)\)

where:

\(\bar x\) = the sample mean difference (after - before)

\(\mu\) = the population mean difference (assumed to be 0 if the test preparation course has no effect)

s = the standard deviation of the differences

n = the sample size (in this case, 30)

Plugging in the values given in the problem, we get:

t = \((6 - 0) / (10 / \sqrt 30)\) = 3.09

To determine whether a test preparation course improves scores on the ACT test, we can use a paired samples t-test.

This test compares the mean difference between two related groups (in this case, the pre- and post-test scores of the same students) to the expected difference under the null hypothesis that there is no change in scores.

The test statistic for a paired samples t-test is given by:

t = (mean difference - hypothesized difference) / (standard error of the difference)

The mean difference is the average difference between the two groups, the hypothesized difference is the expected difference under the null hypothesis (which is 0 in this case), and the standard error of the difference is the standard deviation of the differences divided by the square root of the sample size.

The mean difference is 6 points, the hypothesized difference is 0, and the standard deviation of the differences is 10 points.

Since there are 30 students in the sample, the standard error of the difference is:

SE =\(10 / \sqrt{(30)\)

= 1.83

Substituting these values into the formula for the test statistic, we get:

t = (6 - 0) / 1.83 = 3.28

The test statistic for this test is therefore 3.28.

To determine whether this test statistic is statistically significant, we would need to compare it to the critical value of t for 29 degrees of freedom (since there are 30 students in the sample and we are estimating one parameter, the mean difference).

The critical value for a two-tailed test at a significance level of 0.05 is approximately 2.045.

The test statistic (3.28) is greater than the critical value (2.045), we can conclude that the difference in scores between the pre- and post-test is statistically significant at a significance level of 0.05.

The test preparation course did indeed improve scores on the ACT test. It's important to note that this is just a single study and that further research would be needed to confirm these results.

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Therefore, the ratio of the volumes of the two similar triangular prisms is approximately 1.25.

To find the ratio of the corresponding side lengths of the perimeters of the corresponding faces, we can take the square root of the ratio of the areas of the faces.

Given:

Area of first face = 49 cm²

Area of second face = 25 cm²

The ratio of the areas is:

49 cm² / 25 cm² = 1.96

Taking the square root of this ratio gives us the ratio of the corresponding side lengths:

√1.96 ≈ 1.4

Therefore, the ratio of the corresponding side lengths of the perimeters of the corresponding faces is approximately 1.4.

Now, let's find the ratio of the volumes of the two similar triangular prisms. Since the volumes of similar objects are proportional to the cubes of their corresponding side lengths, we can take the cube root of the ratio of the areas to find the ratio of the volumes.

The ratio of the volumes is:

∛(49 cm² / 25 cm²) = ∛1.96

≈ 1.25

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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Given, (1, 3), (6,3), (6, 6) and (1, 6) are the vertices of a rectangle, the width is 1 unit shorter.

A rectangle is a quadrilateral with the four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal (360°/4 = 90°). A square is a rectangle with the four equally long sides. Oblong is occasionally used to describe a rectangle that isn't square. Rectanglen is the symbol for a rectangle having the vertices ABCD. ABCD in PNG.

Rectangulus, a combination of rectus (as an adjective, right, proper), and angulus, is the source of the English word rectangle (angle).

A crossed rectangle is a quadrilateral that is formed by the intersection of two diagonals and the two opposite sides of a rectangle (therefore only two sides are parallel). Although opposite angles are equal, it is a specific example of an antiparallelogram in which the angles are not all right angles and equal. There exist so-called rectangles in other geometries, including spherical, elliptic, and hyperbolic ones, with opposite sides of equal length and equal angles that are not right angles.

Many tiling issues use rectangles, like tiling the plane with rectangles or tiling a rectangle with polygons.

By plotting given points in the coordinate plane,

We get rectangle ABCD having vertices,

A(-1,6), B (3,6), C (3,1), D (-1,1)

By distance formula,

Shorter side or width of rectangle,

AB= \(\sqrt{ [3-(-1)]^{2}+ (6-6)^{2}} = \sqrt{4^{2}+0 } = 4 units\)

Longer side or length of rectangle,

BC= \(\sqrt{(3-3)^{2}+(1-6)^{2}}=\sqrt{5^{2} } = 5 units\)

The difference between length and width,

BC-AB= 5-4= 1units

Hence, width of rectangle is 1 unit less than the length.

active attachment

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Answer:

the x = times

Step-by-step explanation:

TOOK THE TEST

Answer:

X time

Step-by-step explanation:

Answer:

option c (5,4) .............

Answer:

C. (5, 4)

Step-by-step explanation:

A. 6(1) + 3(4) = 18

6 + 12 = 18

B. 6(3) + 3(0) = 18

18 + 0 = 18

C. 6(5) + 3(4) ≠ 18

30 + 12 ≠ 18

D. 6(6) + 3(-6) = 18

36 + (-18) = 18

hope this helps :)

The given expression, 8x^4 - 2x³-1, is a quartic trinomial.

A trinomial is an algebraic expression with three terms, and a quartic trinomial is a trinomial in which the highest power of the variable is four. In the given expression, the highest power of the variable x is four, which makes it a quartic expression.

Moreover, it has three terms, making it a trinomial. Hence, the given expression is a quartic trinomial. The term 8x^4 is the leading term, which means that it has the highest degree and the coefficient is positive.

The constant term is -1, which is a real number that appears without any variable. Overall, the expression represents a polynomial of degree four, which is a quartic expression.

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Answer:

170

Step-by-step explanation:

8x2 is 16 plus 1 is 17 times 10 is 170. PEMDAS

Answer:

\([-1,\infty)\)

Step-by-step explanation:

Remember that the range is the set of all y-values. Thus, since the minimum of the function is y=-1, then our range is \([-1,\infty)\). In interval notation, we use brackets to show what's included and parentheses to show what's not included.

Answer:

(-1, ∞)

Step-by-step explanation:

domain is side to side

range is down to up

or

range is up to down

this graph goes down to up

from

-1 to infinity

or

(-1, ∞)