Help please. will give brainliest.

2. alternate angles I think

3. vertically opposite angles

4. Interior angles

The percentage of races with a finishing time between 64.5 and 65.5 seconds is given as follows:

68%.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

The measures in this problem are within one standard deviation of the mean, as:

Hence the percentage is of 68%.

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Therefore, m = 7.5454... (rounded to four decimal places) and n = 0.5455...

What is Simultaneous Equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

1) 3p + 4q = 23

10p + 12q = 74

Subtracting 3 times the first equation from the second equation, we get:

10p + 12q - 3(3p + 4q) = 74 - 3(23)

10p + 12q - 9p - 12q = 5

p = 5

Substituting p = 5 in the first equation, we get:

3(5) + 4q = 23

4q = 8

q = 2

Therefore, p = 5 and q = 2.

2) 4s + 2t = 20

11s + 4t = 49

Multiplying the first equation by 2 and subtracting it from the second equation, we get:

11s + 4t - 2(4s + 2t) = 49 - 2(20)

11s + 4t - 8s - 4t = 9

3s = 9

s = 3

Substituting s = 3 in the first equation, we get:

4(3) + 2t = 20

2t = 8

t = 4

Therefore, s = 3 and t = 4.

3) 3a + 4b = 34

12a + 5b = 59

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

12a + 5b - 3(3a + 4b) = 59 - 3(34)

12a + 5b - 9a - 12b = 17

3a - 7b = 17

Multiplying the first equation by 5 and subtracting it from the second equation, we get:

12a + 5b - 5(3a + 4b) = 59 - 5(34)

12a + 5b - 15a - 20b = -61

-3a - 15b = -61

a + 5b = 20

Adding the equations 3a - 7b = 17 and a + 5b = 20, we get:

4a = 37

a = 9.25

Substituting a = 9.25 in the equation a + 5b = 20, we get:

9.25 + 5b = 20

5b = 10.75

b = 2.15

Therefore, a = 9.25 and b = 2.15 (rounded to two decimal places).

4) 6m + 5n = 48

18m + 4n = 78

Multiplying the first equation by 3 and subtracting it from the second equation, we get:

18m + 4n - 3(6m + 5n) = 78 - 3(48)

18m + 4n - 18m - 15n = -6

-11n = -6

n = 0.5455...

Substituting n = 0.5455... in the first equation, we get:

6m + 5(0.5455...) = 48

6m = 45.2727...

m = 7.5454...

Therefore, m = 7.5454(rounded to four decimal places) and n = 0.5455.

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Answer:

g = 7

Step-by-step explanation:

3g - 4 = 17

+ 4 + 4

3g = 21

÷3 ÷3

g = 7

Answer:

g=7

Step-by-step explanation:

First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7

Hope this helps!

Answer:

1. Second

2. x-axis

Step-by-step explanation:

I am sorry if these are wrong

There are 26 automobiles and 13 vans available for the field excursion.

An algebraic equation, also known as a polynomial equation, is a mathematical equation of the form P=0, where P is a polynomial with coefficients in some field, most commonly the field of rational numbers. A mathematical statement that expresses the connection between two values is simply characterized as an equation. In an equation, the two values are usually equated by an equal sign. Linear equations are first-order equations. Lines in the coordinate system are determined by linear equations. A linear equation in one variable is defined as an equation with a homogeneous variable of degree 1 (i.e. only one variable). A linear equation can include several variables.

Here,

If c represents the number of cars and v represents the number of vans,

5c+8v=234

c=2v

10v+8v=234

v=234/18

v=13 vans

c=26 cars

The number of cars for field trip is 26 and number of vans is 13.

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Answer:

Angel F would equal about 50 degrees.
I used my protractor to measure the angle. My answer may be incorrect since I measuring it through a computer screen. (please read more before submitting your answer)

Another strategy:
(this one should be more accurate)
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.


The angles are given all equal 312 degrees
75 + 91 + 146 = 312 degrees



This means angel F equals:
360 degrees - 312 degrees = F degrees

F = 48 degrees



In conclusion, 48 and 50 are reasonable answers but the strategy used to find the answer 48 degrees makes more sense.

Step-by-step explanation:

Have a great rest of your day
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Dimensions minimizing the cost of constructing the box are -

a = 4.3634  inch , b = 7.6386 inch  , c = 12.0011 inch

Let a be the base if the rectangular box , b to be the height and c to be the  other side of the rectangular box.

Then  the area of the base is = ac

Front box ' s Area  = ab

Area for the remaining other sides =  ab + 2cb

Cost of the base of the box = 7ac

Cost of the front of the box = 9ab

The remainder of the sides will cost = 2(ab + 2cb)

So, the total cost  C is

C = 7 ac + 9 ab + 2(ab + 2cb)

C = 7 ac + 9 ab + 2ab + 4cb

C = 7 ac + 11 ab + 4cb   ---- (1)

Rectangular box's volume is given by ,

⇒V = abc = 400 in³

If abc = 400

Then b = 400/ac

Replacing the value of  c in the above equation -

C = 7ac + 4400/c + 1600/a

On differentiating C with respect to a and c; we have -

Cᶜ = 7a - 4400/c² .....[2] [ respect to c ]

Cᵃ = 7c - 1600/a² .....[3] [ respect to a ]

Now, on equating equations 2 and 3 to zero.

a = 4400/7c² ....[4]

c = 1600/7 a² .....[5]

Now ,  from equations 4 and 5

c = 1600 / 7 [4400/7c²]²

On solving the above equation -

c = 12.0011

Putting the value of c in [5]

a = 4.3634

b's value can be determined by  -

b = 400/4.3634 * 12.0011

b = 7.6386

Thus,  dimensions resulting to minimize the cost of constructing the box is:

a = 4.3634  inch , b = 7.6386 inch  , c = 12.0011 inch

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

Answer:

13

Step-by-step explanation:

this is because you have to look for the most common number

The correct answer is option 1. In a continuous probability distribution, the random variable can take on an infinite number of values within a given range.

This range is typically represented by the interval between two points on the number line, such as 0 and 100. The probability of a particular value occurring is defined as the area under the curve of the probability density function for that distribution, rather than a single value.

Option 2, "may have a probability greater than 1.00" is incorrect as probabilities are always between 0 and 1, inclusive.

Option 3, "has a limited number of values" is incorrect as, by definition, continuous random variables can take on an infinite number of values.

Option 4, "is discrete" is incorrect as a continuous random variable is not limited to a finite or countable number of values.

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Awnser:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

The predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.

To compare the models based on goodness of fit, we need to look at the adjusted R-squared values. The adjusted R-squared adjusts for the number of predictors in the model and provides a measure of how well the model fits the data while considering the degrees of freedom.

Comparing the models:

Model A: Adjusted R-squared = 0.74

Model B: Adjusted R-squared = 0.73

Model C: Adjusted R-squared = 0.72

Model D: Adjusted R-squared = 0.75

Based on the adjusted R-squared values, we can see that Model D has the highest value (0.75), indicating the best goodness of fit among the four models. Model A has the second-highest value (0.74), followed by Model B (0.73), and Model C (0.72).

Therefore, the correct answer is:

d. D>A>B>C

Now, let's move on to the second part of your question regarding predicting the college GPA of a student.

The estimated model is:

colGPA = β1 + β2 hsGPA + β3 ACT + ω1

Given:

β1 = 0.6

β2 = 0.35

β3 = 0.032

hsGPA = 3.3

ACT = 31

To predict the college GPA of a student, we substitute the values into the equation:

colGPA = 0.6 + (0.35 * 3.3) + (0.032 * 31)

= 0.6 + 1.155 + 0.992

= 2.747

Therefore, the predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.

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Answer:

240 copies in 30 minutes

Step-by-step explanation:

they gave us the info that it makes 40 copies in 5 minutes, divide 40/5 and you get 8, which tells us that it makes 8 copies per minute.

multiply the 8 copies that it can make in a minute by the 30 minutes, 30*8 and you get 240 copies

hope this helps :)

Answer:

If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.

Step-by-step explanation:

The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.

To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.

The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:

x^2 + 4xh = 2100

To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.

We can rewrite the equation for the surface area to solve for h:

h = (2100 - x^2) / (4x)

Now we can substitute this expression for h in the volume equation:

V = x^2 * [(2100 - x^2) / (4x)]

Simplifying, we have:

V = (1/4) * (2100x - x^3)

To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:

dV/dx = 2100/4 - (3/4)x^2 = 0

Solving this equation, we find:

2100/4 = (3/4)x^2

x^2 = 700

x = √700

Substituting this value back into the equation for h, we find:

h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700

Therefore, the largest possible volume of the box is:

V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.

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The odds that a woman will get divorced from her first marriage by the time she is 40 depend on various factors such as location, cultural norms, socioeconomic status, and individual circumstances.

Therefore, a specific value cannot be provided without more information about the population being studied.

However, according to statistics from the United States Census Bureau, the estimated probability of a first marriage ending in divorce by the 20th wedding anniversary is about 52%. This suggests that the odds of a woman getting divorced from her first marriage before age 40 are relatively high.

It's worth noting that divorce rates and probabilities can vary widely based on factors such as age, education level, income, and race/ethnicity. Additionally, divorce is a complex and often emotionally charged issue that is influenced by a wide range of individual and societal factors.

What is statistics?

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

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{x | x ∈ R, x < 5} would have a graph with an open circle on 5 and a ray pointing left on the number line.

In interval notation, the set {x | x R, x < 5} can be written as (-∞, 5). The symbol (-∞) represents negative infinity, which means all numbers less than any finite number.

So, the interval (-∞, 5) includes all real numbers less than 5, but does not include 5 itself.

To graph this set on a number line, we would draw an open circle at the point 5, because 5 is not included in the set. Then, we would draw a ray pointing to the left, because the set includes all numbers less than 5.

The ray extends indefinitely to the left, because there is no greatest number that is less than 5.

Therefore, the graph of the set {x | x R, x < 5} on a number line would have an open circle at 5 and a ray pointing to the left.

What does an open circle on a number line indicate?

An open circle on a number line indicates that the number is not included in the set.

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Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

The required probability for the parts which are examined for defects are ;

1. Probability of both the parts are good is equal to 0.375.

2. Probability represents exactly one part has major defect is 0.2333.

Here, we have,

Total number of parts to be examined for defects = 16

Number of good parts = 10

Number of parts with minor defects = 4

Number of parts with major defects = 2

Number of parts to be chosen at random without replacement = 2

Total number of outcomes = ¹⁶C₂

                                            = (16!) / ( 16 - 2 )!2!

                                            = 120

1. Probability of both the parts to be good

Number of favourable outcomes = ¹⁰C₂

                                                       = 10! / (8!)(2!)

                                                       = 45

Required Probability = 45 / 120

                                  = 0.375

2. Probability of exactly one major defect

Number of favourable outcomes= ²C₁ × ¹⁴C₁

                                                     = 2 × 14

                                                     = 28

Required Probability = 28/ 120

                                  = 0.2333

Therefore, the probability of both are good is 0.375 and probability of exactly one major defect is 0.2333.

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The above question is incomplete, the complete question is:

'16 parts are examined for defects. It is found that 10 are good, 4 have minor defects, and 2 have major defects. Two parts are chosen at random from the 16 without replacement; that is; the first part chosen is not returned to the mix before the second part is chosen:

1. What is the probability that both parts are good?

2. What is the probability that exactly one part has major defect?'

The line of best fit refers to a straight line that represents the trend or relationship between two variables in a scatter plot. It is determined by minimizing the sum of the squared horizontal distances between each data point and the line.

In statistical analysis, the line of best fit, also known as the regression line, is used to approximate the relationship between two variables. It is commonly employed when dealing with scatter plots, where data points are scattered across a graph. The line of best fit is drawn in such a way that it minimizes the sum of the squared horizontal distances from each data point to the line.

The concept of minimizing the sum of squared distances arises from the least squares method, which aims to find the line that best represents the relationship between the variables. By minimizing the squared distances, the line is positioned as close as possible to the data points. This approach allows for a balance between overfitting (fitting the noise in the data) and underfitting (oversimplifying the relationship).

The line of best fit serves as a visual representation of the overall trend in the data. It provides a useful tool for making predictions or estimating values based on the relationship between the variables. The calculation of the line of best fit involves determining the slope and intercept that minimize the sum of squared distances, typically using mathematical techniques such as linear regression.

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In rectangle pqrs, pq = 18, ps = 14, and pr = 22.8. diagonals and intersect at point t. The length of diagonal from the intersection point p is correct option is c. 22.8

We have given rectangle PQRS

Side PQ =18 .

Side PS = 14 .

Diagonal PR = 22.8  .

Properties of rectangle :

Opposite sides of the rectangle are equals.

Diagonals of the rectangle are equal .

Diagonals of rectangles bisect each other.

Then by second property :

Diagonal PR =QS

QS = 22.8

By the Third property

TQ = 1/2× QS

TQ = 1/2 × 22.8

TQ = 11.4

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Answer:

Step-by-step explanation:

c. 11.4

Answer:

B. 8

Step-by-step explanation:

Triangles ADB, ABC and BDC are similar.

Therefore, we can use ratios to find BD.

Using the ratio of the long leg to the short leg of ΔBDC and ΔADB:

\(\dfrac{BD}{16}=\dfrac{4}{BD}\)

Cross multiply and solve for BD:

\(\implies BD^2=4 \times 16\)

\(\implies BD^2=64\)

\(\implies BD=\sqrt{64}\)

\(\implies BD=8\)

Answer:

119 eggs

Step-by-step explanation:

To start off, we know that this number has to be of some multiple of 7. Because if the eggs are taken out 7 at a time, and no eggs are left over, then the total number of eggs can be divisible by 7. Because there is however a multiple if you take out the eggs 2-6 times, there are eggs left over. The smallest multiple of 7 we can test is simply 7. To check, we can start with dividing 7 by 6 and getting a remainder of 1 instead of 5. So we know that 7x1 doesn't work.

The next smallest multiple of 7 that isn't multiplied from 2-6 is 7x7 to get 49. from here we can check that 49/6 = 8 r1 (r meaning remainder). So we know that 7x7 can't work. From here, the next smallest number would be 7x11.

7x11 = 77. 77/6 is 12 r5. This so far looks good. Now we can try 5. 77/5 = 15 r2. This doesn't work, so we try the next largest number which is 7x13 which is 91.

91/6 = 15 r1 which doesn't work. Next we try 7x17 which is 119. 119/6 is 19 r5 (looks good), 119/5 = 23 r4 (looks good), 119/4 is 29 r3, 119/3 is 39 r2, and 119/2 is 59 r1! Which means our answer is that the least number of eggs in the basket is 119.

The volume of the right cone is calculated as: 100.48 units³.

The volume of a right cone with a radius of r, and an height of h, is calculated using the formula given as:

Volume of a right cone = 1/3 × π × r² × h.

The right cone has the following parameters:

Radius (r) of the right cone = 4 units

Height (h) of the right cone = 6 units

π = 3.14

Plug in the values into 1/3 × π × r² × h:

Volume of a right cone = 1/3 × 3.14 × 4² × 6

Volume of a right cone = 1/3 × 3.14 × 16 × 6

Volume of a right cone = 1 × 3.14 × 16 × 2

Volume of a right cone = 100.48 units³

In conclusion, the volume of the right cone is calculated as: 100.48 units³.

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Answer:

very late but the answer is pi 32 units by the power of 3!

Step-by-step explanation:

The answer is 4 .

Step-by-step explanation:

6 x 4 is 24

Answer: 4

Step-by-step explanation:

6 times 4 equals 24 and to make sure you know that's correct you can divide 24  and 6, and that equals 4 so you know that's your answer.

Hope This Helps!

Answer:

B) 4

Step-by-step explanation:

It would be 4 because when you cross multiply 16*x and 1*64, you get 4/1.

Answer:

4

Step-by-step explanation:

I got it right