pls help
giving 100 points

No, the flag pole does not form a 90° angle with the ground.

We can use the Pythagorean theorem to find the length of the flag pole, which states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (the hypotenuse).

Let x be the length of the flag pole. Then, we have:

x² = (20 - x)² + 28.9²

Expanding and solving for x, we get x = 30.8.

Therefore, the length of the flag pole is 30.8 feet, which is greater than the height of 21 feet. This means that the angle between the flag pole and the ground is not 90°, but rather less than 90°.

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Step-by-step explanation:

let addicts be x and Nike be x+6

so ,

x+x+6=12

or,2x=6

or x=-3

now x+6=3+6=9

therefore he had 9 Nike and 3 Adidas

Answer:

[tex]log_{3}11[/tex]

Step-by-step explanation:

[tex]3^x=11[/tex]

[tex]x=log_{3}11[/tex]

Hope this helps :)

Please let me know if this is correct or not

Have a great day!

Answer:

x=2.18265833 x=ln(11)/ln(3)

Step-by-step explanation:

Move all terms not containing x to the right side of the equation. Subtract 7 from both sides.

3x= 11

Take the natural logarithm of both sides of the equation to remove the variable from the exponent. ln(3x)=ln(11)

Expand ln (3x) by moving x outside the logarithm.x ln(3)=ln(11)

Divide each term in xln(3)=ln(11) by ln(3) and simplify.

Simplify the left side.

Cancel the common factor of ln(3).

Characteristic of binomial distribution Mean should be n *p n is the number of trials p is the successful outcome of the process

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Answer:

y = - 7

Step-by-step explanation:

5y + 13 = - 43 - 3y ( add 3y to both sides )

8y + 13 = - 43 ( subtract 13 from both sides )

8y = - 56 ( divide both sides by 8 )

y = - 7

From the above given options by using app is more accurate and reliable so option b is correct

The question is incomplete the options are not given the options are:

a. Marcus should ask each of his classmates to write down on a piece of paper how many hours of sleep they get per night and hand the paper to him.

b. Marcus should have them download an app that tracks their phone geolocation and activity so he can see when their phones are in their rooms and not being used. From this data he can figure out how long each student sleeps.

given that

Marcus wants to learn about the sleeping habits of students in his class.

Marcus wants to collect data from his classmates to learn how many hours of sleep his classmates get.

He then wants to process this data with a computer and visualize it in a Histogram

survey can be done in different ways:

1. by asking question

2. survey

3. observation

From the above given options by using app is more accurate and reliable so option b is correct

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Answer:

Eight workers can pave a 1-mile stretch of road in 6 hours.

Step-by-step explanation:

The ratio of bottles of orange juice to bottles of apple juice in the cafeteria's refrigerator is 2 : 1.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, In the cafeteria's refrigerator, there are 11 bottles of orange juice and 22 bottles of apple juice.

Therefore, The ratio of bottles of orange juice to bottles of apple juice is,

orange juice : apple juice = 22 : 11.

orange juice : apple juice = 2 : 1.

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The average thickness of a page in the book= is 0.00393cm

determining the thickness of a page

One page has a thickness of 0.12 mm. Therefore, it's easy; all you have to do is add up the pages and divide that number by two. Then double that result by a page's thickness.

A book has 764 pages in total, including the final page.

3.0 cm is how thick the book is.

Divide across 764 to find the thickness of a page from the book: 3.0/764 = 0.003926701

which is roughly equal to 0.00393 cm

Consequently, 0.00393 cm is the average thickness of a book page.

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The probability of the sum of the two recorded numbers being less than 4 is $\frac{3}{4}$.

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.
This is because there are three possible scenarios in which the sum of the two numbers can be less than 4:

1) both numbers are 1 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$)

2) one number is 1 and the other is 2 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$).

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The probability of the sum of the two recorded numbers being less than 4 is [tex]\frac{3}{4}[/tex].

Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.

This is because there are three possible scenarios in which the sum of the two numbers can be less than 4.

1) both numbers are 1 (probability of [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4} = \frac{1}{16}[/tex])

2) one number is 1 and the other is 2 (probability of [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4} =[/tex] [tex]\frac{1}{16}[/tex])

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The volume of the spherical glass bulb is approximately 14.1 cubic cm.

To find the volume of a spherical glass bulb, we can use the formula for the volume of a sphere:

[tex]V = 4/3 * pi * r^3[/tex]

Where V is the volume, pi is a mathematical constant (approximately equal to 3.14), and r is the radius of the sphere.

We know the diameter of the bulb is 31.5mm and to find the radius of the sphere, we divide the diameter by 2.

So, radius (r) = 31.5mm / 2 = 15.75mm

Now we can substitute this value into the formula for the volume of a sphere:

[tex]V = 4/3 * pi * (15.75mm)^3[/tex]

We can convert the value of radius from mm to cm by multiplying it by 10^-3

[tex]V = 4/3 * pi * (15.75 * 10^{-3})^3[/tex]

Now we can calculate the value of V

V ≈ 14.1 cubic cm

Therefore, the volume of the spherical glass bulb is approximately 14.1 cubic cm.

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Answer: -4.2

Step-by-step explanation:

=1-6+0.8

=-4.2

The positive and negative roots of the given quadratic graph are; -2 and 4.

We want to find the positive and negative roots of the quadratic graphs. Now, the general form of quadratic equations is expressed as;

y = ax² + bx + c

Now, for a quadratic graph, the roots are defined as the value of x where the curve crosses the x-axis.

In this given graph, we can see that the y-intercept which is the point at which the curve crosses the y-axis is at y = -8. We also see that the points at which the graph crosses the x-axis are at x = -2 and x = 4. This clearly shows that one root is positive and one root is negative.

Therefore from the two x-intercept values above as well as the y-intercept we got and when considering the type of roots that are being looked for, we can easily conclude that the positive and negative roots are as gotten above.

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The answer to the word problem is 14 2/3.

A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Expressing the word problem into an expression;

2 3/4 x 5 1/3

= 11/4 x 16/3

= 44/3

= 14 2/3

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The four types of roots are: square roots, cube roots, fourth roots and nth roots, where n is any positive integer greater than 1.

The four types of roots are square roots, cube roots, fourth roots and nth roots. Square roots are the inverse of a number multiplied by itself. For example, the square root of 25 is 5, because 5 multiplied by 5 equals 25. Cube roots are the inverse of a number multiplied by itself twice. For example, the cube root of 27 is 3, because 3 multiplied by 3 multiplied by 3 equals 27. Fourth roots are the inverse of a number multiplied by itself three times. For example, the fourth root of 256 is 4, because 4 multiplied by 4 multiplied by 4 multiplied by 4 equals 256. Nth roots are the inverse of a number multiplied by itself n times. N is any positive integer greater than 1. For example, the fifth root of 243 is 3, because 3 multiplied by 3 multiplied by 3 multiplied by 3 multiplied by 3 equals 243.

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The required expected value of the score is 4.92.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

A long hit with success has a 0.4 chance of happening. The following formula can be used to determine which strategy—the short hit or the long hit—will improve the expected value of the score:

Expected value of long hit = P(successful hit)4.2 + P(unsuccessful hit)5.4

= 0.4×4.2 + (1 - .04)×5.4

= 4.92

Thus, required score is 4.92.

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Answer:

please open the following image for the answer

Answer:

Step-by-step explanation:

here is a step-by-step explanation of how to find the new dimensions of the field:

Start with the original dimensions of the field: 24 feet by 20 feet

Apply the scale factor of 1.6 to the length (24 feet): 24 feet * 1.6 = 38.4 feet

Apply the scale factor of 1.6 to the width (20 feet): 20 feet * 1.6 = 32 feet

The new dimensions of the field are: 38.4 feet by 32 feet.

Answer:

We can use the trigonometric function sine to calculate the length of AB in a right-angled triangle.

The sine function relates the ratio of the side opposite an angle (in this case, AB) to the hypotenuse (AC) with the angle in question (in this case, angle C):

sin(C) = AB/AC

In this case, we know that angle C is 29 degrees and the hypotenuse AC is 5cm, so we can substitute these values into the equation to find AB:

sin(29) = AB/5

To solve for AB, we can multiply both sides of the equation by 5:

AB = 5sin(29)

AB=2.42cm

Answer:

Step-by-step explanation:

I assume that the amount of peanut butter chips in original recipe is [tex]1\frac{1}{2}[/tex] c (the picture isn't clear!)

2( [tex]1\frac{1}{2}[/tex] + x ) = [tex]4\frac{1}{2}[/tex]

[tex]1\frac{1}{2}[/tex] + x = [tex]4\frac{1}{2}[/tex] ÷ 2

[tex]1\frac{1}{2}[/tex] + x = [tex]2\frac{1}{4}[/tex]

x = [tex]2\frac{1}{4}[/tex] - [tex]1\frac{1}{2}[/tex] = [tex]1\frac{5}{4}[/tex] - [tex]1\frac{2}{4}[/tex] = [tex]\frac{3}{4}[/tex]

There is [tex]\frac{3}{4}[/tex] of a cup of nuts in original recipe.

Step-by-step explanation:

these are projections from V and W to the same projection "screen" (SU and YX).

since the angles are equal, the ratio between projection beam length and screen length must be the same.

so,

6.

24/14 = 48/x

48/28 = 48/x

x = 28

7.

besides the projection principle, we have a basic triangle situation :

the bisector of the angle W is also bisecting the opposing side YX. that means that this is an isoceles triangle (both legs are equally long).

therefore,

y = 4×sqrt(2)

Answer:

[tex]\textsf{6.} \quad x = 28[/tex]

[tex]\textsf{7.} \quad y = 4\sqrt{2}[/tex]

Step-by-step explanation:

An angle bisector is a line that divides an angle into two equal parts.

An angle bisector in a triangle divides the opposite side into two segments which are in the same proportion as the other two sides of the triangle.

Applying the Angle Bisector Theorem:

[tex]\implies \dfrac{UT}{TS}=\dfrac{VU}{VS}[/tex]

[tex]\implies \dfrac{x}{14}=\dfrac{48}{24}[/tex]

Cross multiply:

[tex]\implies 24 \cdot x=48 \cdot 14[/tex]

[tex]\implies 24x=672[/tex]

Divide both sides by 24:

[tex]\implies \dfrac{24x}{24}=\dfrac{672}{24}[/tex]

[tex]\implies x=28[/tex]

Applying the Angle Bisector Theorem:

[tex]\implies \dfrac{XZ}{ZY}=\dfrac{WX}{WY}[/tex]

[tex]\implies \dfrac{4}{4}=\dfrac{y}{4\sqrt{2}}[/tex]

Carry out the division on the left side:

[tex]\implies 1=\dfrac{y}{4\sqrt{2}}[/tex]

Multiply both sides by 4√2:

[tex]\implies 1\cdot 4\sqrt{2}=\dfrac{y}{4\sqrt{2}}\cdot 4\sqrt{2}[/tex]

[tex]\implies 4\sqrt{2}=y[/tex]

[tex]\implies y=4\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

To calculate the percent error, we use the formula:

(|(Actual distance - Estimated distance)| / Actual distance) * 100

So for this case:

(|(4.32 - 4.5)| / 4.32) * 100 = (0.18 / 4.32) * 100 = 0.041666666666666664 * 100 = 4.16666667%

Therefore, Kin's percent error is 4.16666667%.

It is important to note that the percent error can be positive or negative depending on whether the estimated value is higher or lower than the actual value.

So the answer is D-0.18%

The expression as a single real number is [tex]\frac{1-\sqrt{3} }{2}[/tex] .

What is trignomentry ?

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is used to study the properties of triangles and to solve problems involving angles and distances in two-dimensional space.

sin(π/6)cos(π/2) - cos(π/60)sin(π/2)

The first term in the expression, sin(π/6)cos(π/2), can be simplified as follows ,

sin(π/6) = √(3)/2, cos(π/2) = 0

so sin(π/6)cos(π/2) = (√(3)/2) * 0 = 0

The second term in the expression, -cos(π/60)sin(π/2) , can be simplified as follows ,

sin(π/2) = 1, cos(π/60) = sqrt(3)/2 - 1/2

so -cos(π/60)sin(π/2) = -(sqrt(3)/2 - 1/2) * 1 = -sqrt(3)/2 + 1/2

Now we can substitute the simplified values back into the original expression ,

0 - (-sqrt(3)/2 + 1/2)

and combining like terms, [tex]\frac{1-\sqrt{3} }{2}[/tex],

Hence ,  The expression as a single real number is [tex]\frac{1-\sqrt{3} }{2}[/tex] .

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By using a trigonometric relation, we will see that the hypotenuse of the right triangle measures 160 units.

On the image, we can see a right triangle where we know one of the angles and one of the cathetus.

We want to find the value of x, which is the hypotenuse of the right triangle, and the cathetus that we know is the adjacent cathetus to the known angle.

Then we can use the trigonometric relation:

cos(a) = (adjacent cathetus)/hypotenuse

cos(60°) = 80/x

Using that we can find the value of x, we will get:

x = 80/cos(60°) = 160

The value of x is 160 units.

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Answer:

x = 0 and

x = -(5/2)

Step-by-step explanation:

(4x+5)²−25=0
(16x^2+40x + 25) - 25 = 0  [expand the square]

16x^2+40x = 0

8x(2x+5)=0

the roots are 8x=0 and 2x+5 = 0

x = 0 and x = -(5/2)

The maximum likelihood estimate for p is 1/2, as it maximizes the likelihood of observing the sequence.

What is algebra ?

Algebra is a branch of mathematics in which letters and symbols are used to represent numbers and quantities in equations and formulas. Algebraic concepts include operations such as addition, subtraction, multiplication, and division, as well as the manipulation of equations

The maximum likelihood estimate (MLE) for p is the value that maximizes the likelihood function, which represents the probability of observing a particular sequence of red and white chips given the assumed distribution of reds and whites. In this case, we have two options for the proportion of reds, either 1/3 or 1/2. To calculate the likelihood of observing the sequence red, white, white, red, and white given p = 1/3, we calculate (1/3)(2/3)(2/3)(1/3)(2/3) = 4/243. To calculate the likelihood of observing the sequence given p = 1/2, we calculate (1/2)(1/2)(1/2)(1/2)(1/2) = 1/32. As we can see, the maximum likelihood estimate for p is 1/2, as the likelihood of observing this sequence given p = 1/2 is greater than the likelihood of observing this sequence given p = 1/3.

The maximum likelihood estimate for p is 1/2, as it maximizes the likelihood of observing the sequence.

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Five positive three-digit integers have a remainder of 2 when divided by 6, a remainder of 7 when divided by 11, and a remainder of 5 when divided by 9.

Looking at the values, we notice that,

11-7=4,  9-5=4 and 6-2=4

This means we are looking for a value that is four less than a multiple of

11, 9, 6

The least common multiple of these numbers is 198

we can write 198k - 4 ,where k is a positive integer.

This value is only a three-digit integer when k is 1, 2, 3, 4, 5 giving us 194, 392, 590, 788, 986.

The quantity that is "left over" after conducting a calculation is referred to as the remnant in mathematics. The residual is the integer that remains after dividing one integer by another to create an integer quotient in mathematics (integer division).

The polynomial that remains after dividing one polynomial by another is known as the "remainder" in algebra of polynomials. When a dividend and a divisor are provided, the modulo operation is the one that results in such a remainder.

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Answer:

23.35 cubic feet

Step-by-step explanation:

The volume of a cylinder can be calculated using the formula: V = π * r^2 * h, where r is the radius of the circular base, h is the height of the cylinder.

To find the radius, we use the formula for the circumference of a circle: C = 2πr

The circumference of the circular base is 2.6 feet, so we can set this equal to 2πr and solve for r: 2.6 = 2πr, r = (2.6) / (2π) = 0.816

Now that we know the radius, we can substitute it into the volume formula: V = π * (0.816)^2 * 4.4 = 23.35 cubic feet

So the answer is 23.35 cubic feet, which closest to A. 23.35 cubic feet

Answer: 127

Step-by-step explanation:

the image has steps

Answer:

the answer is 127 cm^2 ig

Answer:

1

Step-by-step explanation:

First, take a look at this.

We also know that we can cancel out a lot of fractions.

1. DISCRETE RANDOM VARIABLES

1.1. Definition of a Discrete Random Variable. A random variable X is said to be discrete if it can

assume only a finite or countable infinite number of distinct values. A discrete random variable

can be defined on both a countable or uncountable sample space.

1.2. Probability for a discrete random variable. The probability that X takes on the value x, P(X=x),

is defined as the sum of the probabilities of all sample points in Ω that are assigned the value x. We

may denote P(X=x) by p(x) or pX(x). The expression pX (x) is a function that assigns probabilities

to each possible value x; thus it is often called the probability function for the random variable X.

1.3. Probability distribution for a discrete random variable. The probability distribution for a

discrete random variable X can be represented by a formula, a table, or a graph, which provides

pX (x) = P(X=x) for all x. The probability distribution for a discrete random variable assigns nonzero

probabilities to only a countable number of distinct x values. Any value x not explicitly assigned a

positive probability is understood to be such that P(X=x) = 0.