Please answer this correctly

Answer:

I think that's either a Rhombus or a Square.

I think it's more of a Rhombus.

Step-by-step explanation:

If all the sides are equal then its either a Rhombus or a Square. Then look if all the angles are equal and are right angles, Yes? then it's a Square. If only the angles opposite from each other are equal, then it's a Rhombus.

Answer:

D. 16 ft

Step-by-step explanation:

h = √20² - (24/2)² = √400-144 = √256 = 16

Answer: 0.07

Step-by-step explanation:

To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.

Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.

The total sample size is given as 311.

Therefore, the relative frequency can be calculated as:

Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)

= 21 / 311

≈ 0.0676

Rounded to two decimal places, the relative frequency is approximately 0.07.

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Answer:

D

Step-by-step explanation:

This is saying 77.8% percent out of 100, therefore we right it like D

I hope this helped, please mark Brainliest, thank you!

Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.

The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.

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Answer:

C) 9.86%

Step-by-step explanation:

Given that:

Par value of the bond = $1000

Coupon rate = 5.25%

Years of maturity = 9

years to call = 3

price to call = 115% *  1000 = 1150

YTM of the bond = 0.0532

Using Excel formula:

The current price of the bond = P-V(0.0532/2, 9*2, 0.0525*1000/2, 1000)

= $995.04

The yield to call = 2 * RATE( 3*2, 0.0525*1000/2, 995.04, 1150)

The yield to calll = 9.86%

Answer:

Becky is 7 years old.

Step-by-step explanation: Let b - Becky's age ; Equation - 3b = 21. Divide both size by 3 to isolate the variable.

Answer:

Becky's 7 seven years old

Step-by-step explanation:

If 21 = 3x

x = 21/3

x = 7

Hope this helps :)

Pls brainliest...

Answer:

...

Step-by-step explanation:

To find the number of calories Davis burns while running for 30 minutes, we can use the information that he burns 1080 calories running for 2.5 hours.

We know that 30 minutes is 1/120 of 2.5 hours. So, we can divide the total number of calories by 120 and we get the calorie burn for 30 minutes:

1080 calories / 120 = 9 calories

The number of calories Davis burns while swimming for 30 minutes can be determined by using the equation y = 266x, where x represents the number of hours he swims. We know that he swims for 30 minutes, or 1/120 hours, so we can plug that value into the equation:

y = 266(1/120) = 2.216 calories

So, Davis burns 7 calories more running for 30 minutes than swimming for 30 minutes, assuming the rates remain constant.

An inequality to represent the cost of Jason’s food for the party is

An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is

The two options for buying wings and hot dogs include the following:

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:

Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;

7x + 5y ≤ 40

Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;

y ≥ 5

Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.

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A) Yes, X is a binomial random variable because all of the requirements for a binomial distribution have been established

B) The mean and standard deviation are respectively; 1.2 and 0.6

C) The probability given as P(X ≥ 2) is 0.34464

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.

The general formula of binomial probability distribution is;

P(X = x) = nCr * p^(x) * (1 - p)^(n - x)

where;

p = probability of "success"

n = number of trials, or the sample size

x = the number of "successes" in the probability we are trying to calculate.

A) We are told that 6 friends each buy one 12-ounce bottle of the soda at a local convenience store. Let X = the number who win a prize.

Probability of success; p = 1/5

Number of events; n = 6 which is the random variable being binomial random variable:

There are two types of accomplishments: successes and failures.

Candies are unrelated to one another.

There is a set number of buddies available.

In addition, the chance of success is fixed.

Because all of the requirements for a binomial distribution have been established, then it is a binomial probability distribution.

B) The formula for the mean here is;

μ = np

Plugging in the relevant values gives;

μ = 6(1/5) = 1.2

Formula for the standard deviation is;

σ = √(np(1 - p))

Thus;

σ = √(6 * 1/5)(1 - (1/5)))

σ = 0.6

C) The probability P(X ≥ 2) calculated with online binomial probability calculator gives;

P(X ≥ 2) = 0.34464

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Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.

A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.

B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.

C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.

D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.

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Answer:58=417

Step-by-step explanation:

058=18+7(58−1)

Subtract the numbers

= 58=18+7(57)

Multiply the numbers

= 58=18+399

Add the numbers

= 58=417

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer: 15

Step-by-step explanation:

The rate of change of Function A is 35.

The rate of change of Function B is 50.

So, the difference in the rate of change is 50-35 = 15.

Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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According to John Locke, Experience is how we acquire basic knowledge.

What explains why, in many of the problems, historical data is used is; Information changes rapidly.

1) John Locke's theory simply means that all knowledge comes exclusively through experience. He argues that at birth the mind is a tabula rasa, that humans fill with ideas as they experience the world through the five senses.

Thus, the missing word in the question is "Experience".

2) The reason why historical data is used in may problems is because Information changes rapidly. The information being circulated currently may be different from that circulated 100 years ago.

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The probability density function for U is: f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

The joint distribution for the length of life of two different types of components operating in a system is given by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. We are asked to find the probability density function for U = Y_2/Y_1.

To find the probability density function for U, we first need to find the joint distribution of U and Y_1. We can do this by using the change of variables formula:

f_U,Y_1(u, y_1) = f_Y_1,Y_2(y_1, uy_1) * |J|

where J is the Jacobian determinant of the transformation.

The Jacobian determinant is given by:

J = |∂(y_1, uy_1)/∂(u, y_1)| = |y_1|

So, the joint distribution of U and Y_1 is:

f_U,Y_1(u, y_1) = (1/8)y_1 e^-(y_1 + uy_1)/2 * |y_1| = (1/8)y_1^2 e^-(1+u)y_1/2

Next, we need to find the marginal distribution of U by integrating out Y_1:

f_U(u) = ∫f_U,Y_1(u, y_1) dy_1 = (1/8)∫y_1^2 e^-(1+u)y_1/2 dy_1

This integral can be solved using integration by parts. The final result is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2

So, the probability density function for U is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

This is the final answer.

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Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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The mean and the standard deviation are 16.15 and 12.03, respectively

The table of values is given as:

Work hours           Frequency

0 - <10                        45

10 - <20                      33

20 - <30                     20

30 - <40                       7

40 - <50                      8

Start by rewriting the table using the midpoint of each class

x      f

5     45

15    33

25    20

35    7

45    8

The mean is then calculated as:

\(\bar x = \frac{\sum fx}{\sum f}\)

This gives

\(\bar x = \frac{5 * 45 + 15 * 33 + 25 * 20 35 * 7 + 45 * 8}{45 + 33 + 20 + 7 + 8}\)

Evaluate the sum and the products

\(\bar x = \frac{1825}{113}\)

Divide

\(\bar x = 16.15\)

The standard deviation is:

\(\sigma =\sqrt{\frac{\sum f(x - \bar x)^2}{\sum f}}\)

This gives

\(\sigma= \sqrt{\frac{45 * (5 - 16.15)^2 + 33 * (15 - 16.15)^2 + 20 * (25 - 16.15)^2 + 7 * (35 - 16.15)^2 + 8 * (45 - 16.15)^2 }{45 + 33 + 20 + 7 + 8}}\)

Evaluate the sum and the products

\(\sigma= \sqrt{\frac{16350.4425}{113}}\)

Divide

\(\sigma= \sqrt{144.694181416}\)

Take the square root

\(\sigma= 12.03\)

Hence, the mean and the standard deviation are 16.15 and 12.03, respectively

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Answer:

5.9+z=−9

Step 1: Simplify both sides of the equation.

z+5.9=−9

Step 2: Subtract 5.9 from both sides.

z+5.9−5.9=−9−5.9

z=−14.9

Answer:

z=−14.9

Step-by-step explanation:

I hope this can help!!!

the complete set of trig ratios for this triangle is: sinθ = 8/10, cosθ = 3/5, tanθ = 4/3

To draw the triangle, let's label one of the acute angles as θ and the side opposite that angle as 8 (since sinθ = opposite/hypotenuse and sinθ = 8/10). We can then label the hypotenuse as 10 (since it is given in the ratio) and use the Pythagorean theorem to find the adjacent side:

a² + b² = c²

a² + 8² = 10²

a² + 64 = 100

a² = 36

a = 6

Now we can find the other two trig ratios:

cosθ = adjacent/hypotenuse = 6/10 = 3/5

tanθ = opposite/adjacent = 8/6 = 4/3

Therefore, the complete set of trig ratios for this triangle is:

sinθ = 8/10

cosθ = 3/5

tanθ = 4/3

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Answer:2,000,000

Step-by-step explanation:

Given the value of 2,445,436, when we look at the hundred thousand place digit, we see that it is 4. Since 4 is less than 5, we will round down, making the rest of the digits zero.

Thus, 2,445,436 rounded off is 2,000,000 (2 million)

The values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

The function is given as:

y = (x +3)(x - 2)

When x = 1, we have:

y = (1 +3)(1 - 2)

y = -4

When x = 2, we have:

y = (2 +3)(2 - 2)

y = 0

Hence, the values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

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1. The prοbability that yοu draw a red marble 7/24

2. The prοbability οf chοοsing exactly οne οf each cοlοr is 63/253

3. The prοbability that yοu draw 5 green marbles in a rοw is 0.0057

Prοbability is a branch οf mathematics in which the chances οf experiments οccurring are calculated. It is by means οf a prοbability, fοr example, that we can knοw frοm the chance οf getting heads οr tails in the launch οf a cοin tο the chance οf errοr in research.

1. The prοbability οf drawing a red marble is given by the number οf red marbles divided by the tοtal number οf marbles in the jar:

P(red) = 7/(7+9+8) = 7/24

2. The prοbability οf chοοsing exactly οne οf each cοlοr, if yοu pick 3 marbles frοm the jar, can be fοund using the hypergeοmetric distributiοn. The tοtal number οf ways tο chοοse 3 marbles frοm 24 is:

C(24,3) = 2024

The number οf ways tο chοοse οne οf each cοlοr is:

C(7,1) * C(9,1) * C(8,1) = 798 = 504

Therefοre, the prοbability οf chοοsing exactly οne οf each cοlοr is:

P(1 οf each cοlοr) = 504/2024 = 63/253

3. The prοbability οf drawing 5 green marbles in a rοw withοut replacement can be fοund as fοllοws. Therefοre, the prοbability can be calculated as:

P(5 green in a rοw) = (9/24) * (8/23) * (7/22) * (6/21) * (5/20) = 0.0057 (rοunded tο fοur decimal places)

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