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L.8 Solve percent equation
Fill in the missing number.
% of 3,000 = 1,800
Submit

Answer:

B

Step-by-step explanation:

The area of the Sandbox is given as x^2 + 3x

You are also given that the width of the sandbox is x

The question is, what is the length

Formula

Area = L * w               Substitute the givens into the formula

x^2 + 3x = L * x          Use the distributive property to put brackets on left.

(x^2 + 3x) = L*x         Pull out the common factor on the left.

x(x + 3) = L * x            Divide both sides by x

x(x + 3)/x = L*x/x

x + 3 = L

Answer:

\(y=-\frac{7}{1}x+2\)

Step-by-step explanation:

The slope of -7=

\(-\frac{7}{1}\)

so fractional slope is

\(y=mx+b\)

Substituting slope into a fraction,

\(y=-\frac{7}{1} x+b\)

Point is 0,2 so substitute in x and y.

\(2=-\frac{7}{1} (0)+b\)

Solve the equation.

\(b=2\)

So the equation for the line is

\(y=-\frac{7}{1}x+2\)

Hope this helps :D

A parallelogram is a type of quadrilateral that has opposite sides to be equal, and opposite angles to be equal.

Thus to complete the given proof in the question, the required statements and reasons are stated below:

             STATEMENT                                     REASONS

1. AB ≅ CD,                                                    Opposite sides of a

  BC ≅ AD                                                      parallelogram are equal

2. A, B, C, and D form a paralelogram         Given

3. Draw AC and BD                                       Drawing line segments

4. AB = CD,                                                    Equal line segments have

   BC = AD                                                     equal measures

5. ΔABC ≅ ΔCDA                                         SSS criterion for equal

   ΔABD ≅ ΔCDB                                         triangles

6. <BAD ≅ <DCB                                          Corresponding angles of equal

   <ABC ≅  <CDA                                         triangles are equal    

7. AC = AC, and BD = BD                             Reflective property of equality

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Answer:

66

Step-by-step explanation:

Answer:

The answer us i am thing is.......

C) 66°

The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)

After using the properties of integer exponent:

\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)

\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)

= g . 6² . p⁴

Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

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Answer:

12/40 (simplified = 3/10)

Step-by-step explanation:

2 x 6 = 12

5 x 8 = 40

Answer:

0.3 and in fraction from it is 3/10

Step-by-step explanation:

To find the sum of the squared differences, you first need to calculate the mean of the data set. Then, you need to subtract the mean from each score to get the difference. Finally, you need to square each difference and add them all together to get the sum of the squared differences.

Here are the steps to find the sum of the squared differences:

1. Calculate the mean of the data set by adding up all the scores and dividing by the number of scores.
2. Subtract the mean from each score to get the difference.
3. Square each difference.
4. Add up all the squared differences to get the sum of the squared differences.

For example, if the data set is {1, 2, 3, 4, 5}, the mean is (1+2+3+4+5)/5 = 3. The differences are (-2, -1, 0, 1, 2), and the squared differences are (4, 1, 0, 1, 4). The sum of the squared differences is 4+1+0+1+4 = 10.

So, the sum of the squared differences for this data set is 10.

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The ordered probabilities from least to greatest are:

1. The sum of the two dice is less than 4.

2. Both dice show the same number.

3. At least one of the dice shows a 6.

4. The sum of the two dice is an even number.

5. The sum of the two dice is 7.

To order the probabilities of each event when two six-sided dice are rolled, we need to consider the likelihood of each event occurring. Here are the possible events:

1. The sum of the two dice is less than 4.

2. The sum of the two dice is 7.

3. The sum of the two dice is an even number.

4. At least one of the dice shows a 6.

5. Both dice show the same number.

Let's order these events based on their probabilities, starting with the least likely:

1. The sum of the two dice is less than 4:

  This event has the lowest probability since there are only a few combinations that satisfy this condition (1+1, 1+2, 2+1). Therefore, it has the least probability.

2. Both dice show the same number:

  This event has a higher probability than the previous one, but it is still relatively low since there are only six possible combinations where both dice show the same number (1+1, 2+2, 3+3, 4+4, 5+5, 6+6).

3. At least one of the dice shows a 6:

  This event has a higher probability than the previous two events since there are multiple combinations where at least one of the dice shows a 6 (1+6, 2+6, 3+6, 4+6, 5+6, 6+6, 6+1, 6+2, 6+3, 6+4, 6+5).

4. The sum of the two dice is an even number:

  This event has a higher probability than the previous events since there are multiple combinations that result in an even sum (1+1, 1+3, 1+5, 2+2, 2+4, 2+6, 3+1, 3+3, 3+5, 4+2, 4+4, 4+6, 5+1, 5+3, 5+5, 6+2, 6+4, 6+6).

5. The sum of the two dice is 7:

  This event has the highest probability since there are multiple combinations that result in a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1).

Therefore, the ordered probabilities from least to greatest are:

1. The sum of the two dice is less than 4.

2. Both dice show the same number.

3. At least one of the dice shows a 6.

4. The sum of the two dice is an even number.

5. The sum of the two dice is 7.

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Answer: It is in quadrant II

Answer:

x ≤5

Step-by-step explanation:

Pointing to the left means less than or less than or equal to

x ≤5

Answer:

\(\boxed{x \leq 5}\)

Step-by-step explanation:

\(\sf Arrow \ pointing \ to \ the \ left \ on \ a \ number \ line \ means \ that\)

\(\sf \ the \ value \ is \ either \ less \ than \ or \ less \ than \ or \ equal \ to.\)

\(\sf{Graph}\) \(x\leq 5\) \(\sf{on \ the \ number \ line.}\)

Answer:(a + 1) (3a + x)

Step-by-step explanation:

Factor a+1 out of  3a ( a + 1 ) + x (a + 1 )

Hope this helps

Answer:

Step-by-step explanation:

here is an solution

Step-by-step explanation:

U=ar^(n-1)

r=6/2=3

a=2

U=2(3)^n-1=6^n-1

Answer: Let us assume that the radius of the circle is r where the corresponding sector area and arc length are 37.5sq. cm and 7.5cm. From the given arc length of 7.5cm, the subtended angle at the circle center theta radian can be Theta /2π =7.5/2πr or

Theta radian =7.5/r. For the radian, 7.5/r subtended angle sector area can be 7.5/r/2π^2 or 7.5/2πr*πr^2 or 7.5r/2. We already have given sector area as 37.5, then 7.5r/2=37.5, or r will be 37.5*2/7.5 which gives us 10.

Step-by-step explanation:

Let us assume that the radius of the circle is r where the corresponding sector area and arc length are 37.5sq. cm and 7.5cm

By the arc length of 7.5cm, the subtended angle at the circle center theta radian will be

Theta /2π =7.5/2πr or

Theta radian =7.5/r

For the 7.5/r radian subtended angle sector area is

7.5/r/2π^2 or 7.5/2πr*πr^2 or 7.5r/2

We have given the sector area 37.5, so now 7.7r/2=37.5, or

r=37.5*2/7.5=10cm

Answer:

8748

Step-by-step explanation:

The formula for the nth term in a geometric sequence is ar^n-1.

We can find the first term, as a(3)^4-1 = 108 which also means that 27a = 108.

a = 4.

We find the 8th term using this:

(4)(3)^8-1 = (4)(3)^7 = 8748.

Assuming a binomial distribution for the number of auto accidents. If 7 in 10 auto accidents involve a single vehicle, the probability, p =\(\frac{7}{10}\) = 0.7

Then the probability that the accident involved multiple vehicles is

q = 1 - p = 1 - 7/10 = 3/10 = 0.3

Since 14 accidents are randomly selected, n = 14

The formula for binomial distribution is expressed as

P(x = r) = nCr × q*(n - r) × p*r

a) we want to determine P(x = 4) =

P(x = 4) = 14C4 × \(0.3^{10}\) × 0.7^4

P(x = 4) = 0.00142

b) we want to find P(x lesser than or equal to 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P( x = 4)

P(x = 0) = 14C0 × \(0.3^{14}\) × 0.7^0 = 0.00000004783

P(x = 1) = 14C1 × \(0.3^{13}\) × 0.7^1 = 0.00011

P(x = 2) = 14C2 × \(0.3^{12}\) × 0.7^2 = 0.00002

P(x = 3) = 14C3 ×\(0.3^{11}\)  × 0.7^3 = 0.00022

P(x = 4) = 0.00142

P(x lesser than or equal to 4) = 0.00000004783 + 0.00011 + 0.00002 + 0.00022 + 0.00142 = 0.00177

c) p = 0.7, q = 0.3

P(x = 5)= 14C5 × 0.7^(14 - 5) × 0.3^5 = 0.19631

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Answer:

- 21

Step-by-step explanation:

let the integer be n , then

\(\frac{n}{7}\) = - 3 ( multiply both sides by 7 to clear the fraction )

n = 7 × - 3 = - 21

that is the integer is - 21

Answer:

44

Step-by-step explanation

16 + 8 ^ 2 ÷ 4 × 2 - 4​

16 + 64 ÷ 4 x 2 - 4

16 + 16 x 2 - 4

16 + 32 - 4

48 - 4

44

Answer:

Here you go!

Step-by-step explanation:

Answer:

If circles A and B are congruent, then AC, CD, DB, and BA are all congruent since they are all radii. We then have:

ACDB is a rhombus.

ADB is an equilateral triangle.

CD is perpendicular to AB.

CD bisects AB.

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

x = 11

Step-by-step explanation:

By intersecting chords theorem:

\(27(x + 5) = 24(x + 7) \\ 27x + 135 = 24x + 168 \\ 27x - 24x = 168 - 135 \\ 3x = 33 \\ x = \frac{33}{3} \\ x = 11\)

Answer:

1.78260245797

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

125°

Step-by-step explanation:

the given problem is related to co-interior angle

so.

Answer:

A and F

Step-by-step explanation:

Option A works as a transformating, and option a is the same as potion f

The transformation given in option [1] is the correct transformation that maps ABC to DEF.

We have two triangles as shown in the image.

The coordinates of a triangle ABC are shifted 6 units downward and then the complete figure is reflected across the y - axis.

Therefore, the transformation given in option [1] is the correct transformation that maps ABC to DEF.

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The set of all images of the elements in the domain of a function is called the "range" or "codomain" of the function.

The set of all images of the elements in the domain of a function is called the range. The domain of a function refers to the set of input values or independent variables that the function can accept. It represents the set of values for which the function is defined. On the other hand, the range of a function refers to the set of output values or dependent variables that the function can produce. It represents the set of values that the function can take on as the input values change. The range is determined by evaluating the function for all possible input values in the domain. Thus, it is essential to determine both the domain and range of a function to fully understand its behavior and properties.

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Answer: d

Step-by-step explanation:

The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208,  less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.

We can use the standard normal distribution and z-scores to answer these questions:

P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099

Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.

P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208

Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.

P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228

Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.

P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314

Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.

P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436

Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.

P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464

Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.

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____The given question is incomplete, the complete question is given below:

Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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