find the probability that a point chosen at random on the segment satisfies the inequality

Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).

One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)

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Answer:

y=mx+c.................

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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The value of z is 119° and the value of y is 28°.

When two parallel lines meet any other line, comparable angles are generated in matching corners or corresponding corners with the transversal, these angles are called corresponding angles.

If the given diagram is modified a bit it will look as shown below, the two angles will be 61° because the two angles are corresponding angles.

Now, since 61° and x lie on the same side of the line, therefore, the sum of the two angles will be,

61° + x = 180°

x = 119°

Also, the angles measured at 61° and (3y-23)° lie on the same side of the transversal, therefore, these two angles are corresponding angles. Thus,

61° = (3y-23)°

61 = 3y - 23

y = 28

Hence, the value of z is 119° and the value of y is 28°.

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Answer:

Volume = 312

Step-by-step explanation:

H=13

B=12

V=6

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

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Answer:

1. Shade 7 boxes in.

If 100% is 400 each 10% segment would be 40 and in order to get 70% (or 280) we shade in 7 boxes.

2. The football team scored 280 points. We get this number by multiplying .70 by 400

3. Marcy would spend more money.

To do this problem we multiply the percent by how much they have to get how much they spend.

Stephenson: 12% of 200$

.12 x 200 = 24$

Marcy: 8% of 350$

.08 x 350 = 28$

Answer:

x = 14 2/3

Step-by-step explanation:

4 more, +4

3 times a number x

3 * x

= 48

3x + 4 = 48

3x = 44

x = 44/3

x = 14 2/3

The margin of error depends on the sample size because a larger sample size tends to result in a smaller margin of error.

To find the margin of error for a confidence interval, we need to consider the formula:

Margin of Error = Critical Value * Standard Deviation / Square Root of Sample Size

In this case, the critical value corresponds to a 95% confidence level. Since the confidence interval is symmetric, we can use the z-value associated with a 95% confidence level, which is approximately 1.96.

Given that the standard deviation of weights for those who felt slightly overweight is 17 kg, we need to determine the sample size to calculate the margin of error.

Unfortunately, the sample size is not provided in the given information. Without knowing the sample size, we cannot determine the exact margin of error. The margin of error depends on the sample size because a larger sample size tends to result in a smaller margin of error.

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Answer:

g(x)=2x-1+7 or g(x)=2x+6

Step-by-step explanation:

Its the opposite when your subtracting and adding

Answer:

When there are no outliers in a sample, the mean and standard deviation are used to summarize a typical value and the variability in the sample, respectively. When there are outliers in a sample, the median and interquartile range are used to summarize a typical value and the variabili

Step-by-step explanation:

Answer:

  y +3 = 5(x +2)

Step-by-step explanation:

You want the equation of a line with slope 5 through the point (-2, -3).

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y +3 = 5(x +2) . . . . . . line with slope 5 through point (-2, -3)

__

Additional comment

This can also be written as ...

  y = 5x +7 . . . . . . . . . subtract 3 and simplify

<95141404393>

\(5 \div 3 \frac{1}{3} \\ = 5 \div \frac{10}{3} \\ = 5 \times \frac{3}{10} \\ = \frac{3}{2} \\ = 1 \frac{1}{2} \)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

1.5 or 1  1/2

Step-by-step explanation:

5 divided by 3 1/3 is 1.5

The missing prime factor of 120 is 3.To find the prime factorization of 120, we can start by dividing it by the smallest prime number.

We can start by dividing 120 by the smallest prime number, which is 2. Dividing 120 by 2 gives us 60. We can divide 60 by 2 again, resulting in 30. Dividing 30 by 2 once more gives us 15.

At this point, we have factored out three 2's. Moving on, we check the next prime number, 3. Dividing 15 by 3 gives us 5. Finally, we check if 5 is divisible by any prime number greater than 3, but it is not.

Therefore, the prime factorization of 120 is 2³ × 3 × 5. The missing prime factor, which is not included in the given list, is 3.

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To prove that Z = {[b² | c=b] | b, c ∈ ℝ} is a subspace of ℝ²x², we need to show that Z satisfies the three properties of a subspace.

To prove that Y = {A ∈ ℝ²x² | A is an upper triangular matrix} is not a subspace of ℝ²x², we only need to show that it fails to satisfy one of the three properties.

For Z to be a subspace of ℝ²x², it needs to satisfy closure under addition, closure under scalar multiplication, and contain the zero vector.

1. Closure under addition: Let A = [b₁² | c₁=b₁] and B = [b₂² | c₂=b₂] be two matrices in Z. Their sum, A + B, is [b₁² + b₂² | c₁ + c₂ = b₁ + b₂]. Since b₁ + b₂ is a real number, A + B is also in Z. Hence, Z is closed under addition.

2. Closure under scalar multiplication: Let A = [b² | c=b] be a matrix in Z, and k be a scalar. The scalar multiple kA is [k(b²) | k(c) = kb]. Since kb is a real number, kA is also in Z. Therefore, Z is closed under scalar multiplication.

3. Contains the zero vector: The zero vector in ℝ²x² is the matrix [0 0 | 0 = 0]. This matrix satisfies the condition c = b, so it is in Z.

Thus, Z satisfies all the properties and is a subspace of ℝ²x².

For Y to be a subspace of ℝ²x², it needs to satisfy the three properties mentioned earlier. However, Y fails to satisfy closure under addition since the sum of two upper triangular matrices may not always be an upper triangular matrix. Hence, Y is not a subspace of ℝ²x².

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Answer:

A)74.1%

B)20.83%

C)62.5%

D)5%

Answer:

Step-by-step explanation:

The rising time of a star depends on its right ascension and the latitude of the observer.

In this case, since both stars have the same declination, their altitude above the horizon at any given time will be the same. Therefore, the star with the smaller right ascension will rise first.

Since star A has a right ascension of 5h and star B has a right ascension of 2h, star B will rise first. This is because the Earth rotates from west to east, causing the stars to appear to move from east to west in the sky. As a result, stars with smaller right ascensions will appear to rise earlier in the east than those with larger right ascensions.

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Each dvd costs 3$Each cd costs 2$Georgia bought, d DVDs and c CDs Georgia found for buying the dvds and cds that she wanted to buy each dvd costs 3$ and each cd costs 2$ she also has the option of paying 25$ for entire box of dvds and cds.

Firstly, we will calculate the price of DVDs and CDs individually,Total cost of buying DVDs = $3×4 = $12Total cost of buying CDs = $2×7 = $14Now, we have the prices of buying DVDs and CDs individually that is $12 and $14, respectively. Georgia also has the option of paying $25 for the entire box. Now, we will calculate the cost of buying the entire box using the given expression:3d + 2c when d = 4 and c = 7By substituting the given values of d and c, we get:3(4) + 2(7) = 12 + 14 = $26So, buying the entire box would cost Georgia $25 while buying them individually would cost $12 and $14 for DVDs and CDs, respectively.

long answer:We are given that Georgia has found dvds and cds that she wanted to buy. Each DVD costs 3$ and each CD costs 2$. Georgia also has the option of paying 25$ for the entire box of DVDs and CDs.Now, we need to evaluate the given expression 3d + 2c when d = 4 and c = 7 to find the buying the entire box and buying items individually.We know that d represents the number of DVDs and c represents the number of CDs Georgia has bought. Given that d = 4 and c = 7, we can calculate the cost of buying these items individually as follows:Cost of buying DVDs = 3 x 4 = 12$Cost of buying CDs = 2 x 7 = 14$Hence, the cost of buying these items individually is 12$ + 14$ = 26$.Now, we need to evaluate the expression 3d + 2c when d = 4 and c = 7 to find the cost of buying the entire box. By substituting the values of d and c, we get:3 x 4 + 2 x 7 = 12 + 14 = 26$Therefore, the cost of buying the entire box is 25$, which is less than the cost of buying these items individually.

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Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

A new dog park is enclosed by a fence and shaped like a parallelogram. So, the area and perimeter of the dog park is 2125 m² and 202.5 m.

Pictures can be seen in the attachment.

These are the specified parameters:

Coordinate points in the image = (-8, 0), (5, 5), (9, 0), and (-4, -5).

1 unit = 5 m

The area of the parallelogram of the dog park

Triangular base (b) = (9 - (-8)) × 5 m = 85 m

Triangle height (h) = (0 + 5) × 5 = 25 m

A = 2 × 1/2 × b × h

  = 2 × 1/2 × 85 m × 25 m

  = 2125 m²

Perimeter of the dog park

The line a goes through the point (-8, 0) and (5, 5)

a² = (5 - (-8))² + (5 - 0)²

   = 13² + 5²

   = 169 + 25

   = 194

a = √192

a = 13.85

Length a = 13.85 × 5 m = 69.25 m

The line b goes through the point (5, 5) and (9, 0).

b² = (9 - 5)² + (0 - 5²

   = 4² + (-5)²

   = 16 + 25

   = 41

b = √41

b = 6.4

Length b = 6.4 × 5 m = 32 m

Perimeter = 2 × (a + b)

                = 2 × (69.25 m + 32 m)

                = 2 × 101.25 m

                = 202.5 m

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Answer:

D or C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The graph goes up meaning it is positive.

Answer:

30

Step-by-step explanation:

75% can also be written as 3/4. 3/4 can also be written as 30/40, or 30 out of 40, which in this case, means 30 out of 40 kids.

Answer:

30 Students Returned their Permission Slips

Step-by-step explanation:

In a class of 40 students, 75% returned their permission slips for the field trip. How many students returned their permission slips?

75% of 40 is 30, therefore 30 students returned their permission slips. 75% is equivalent to 3/4,  or 30/40.

Please let me know if you need anymore help

Good luck! :3

The length of the road after 23 days of construction is 68 miles.

The length of the road after 23 days can be found by substituting d=23 into the given function:


the length of the road after 23 days using the function L(d) = 45 + d, follow these steps:

1. Identify the value of d, which represents the number of days. In this case, d = 23 days.
2. Substitute the value of d into the function: L(23) = 45 + 23
3. Solve the equation: L(23) = 68

Therefore, the length of the road after 23 days is 68 miles.

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Answer:

D. \( \frac{{7}^{11} }{ {4}^{11} } \)

Step-by-step explanation:

\(( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }\)

Since we are multiplying an exponential number to a fraction the answer is going to be

\( \frac{7 {}^{11} }{4 {}^{11} } \)

Hope this helps ❤❤❤ ;)

Answer:

\(D. \frac{7^{11} }{4^{11} } \\\)

Step-by-step explanation:

Hello, I can help you with this

Let's remmber some propiertis of the fraction numbers and the potenciation

Let

\(a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}\)

Step 1

All you have to do is identify and use the formula

let

\((\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} } \\\)

so, the answer is D.

I hope it helps, have a nice day

Answer:

Circumference: 8πcm

Area: 16πcm²

Step-by-step explanation:

Circumference:

To find the circumference of a circle, use the formula c = 2πr, where r is the radius. Use 3.14 for pi.

r = 4

c = 2πr

c = 2(3.14)r

c = 2(3.14)4

c = 25.12cm

Area: To find the area of a circle, use the formula πr², where r is the radius. Use 3.14 for pi.

r = 4

a =  πr²

a = (3.14)r²

a =  (3.14)4²

a =  (3.14)16cm²

a = 50.24 cm²

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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