please help 10 point reward​

Answer:

Step-by-step explanation:

The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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Answer:

Mean: 107

Median: 106

Mode: 106

Range: 15

Step-by-step explanation:

brainlies

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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Answer:

<JLK

Step-by-step explanation:

Answer:

24°

Step-by-step explanation:

A regular 15-sided figure is 360°

Interior angle = 180°

Exterior angle = 180°

180 + 180 = 360

360° / 15 sides = 24° per side

Answer:

Yellow: 4

blue: 2

red: 12

green: 2

Answer:

Step-by-step explanation:

1/3:4=n

1/3*1/4=n

n=1/12

-----------------------

check

1/3:4=1/12

1/3*1/4=1/12

1/12=1/12

The answer is good

Answer:

1 and 6

Step-by-step explanation:

it is just like the roots of a polynomial, since \(\sqrt{x-1}\)(x-6)^2=0

we can separate the two pieces of the problem

\sqrt{x-1} =0

square both sides to get

x-1=0.   x=1

(x-6)^2=0

square root both sides and get

x-6=0

x=6

so the two inflection points of the equation are 6 and 1

Hope that helps :)

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Please mark brainlyest.

The Fibonacci numbers are defined by the following recursive formula: f0 = 1, f1 = 1, fn = fn−1 + fn−2 for n ≥ 2. Thus, each number in the sequence (after the first two) is the sum of the previous two numbers.

The true statements are:

The interquartile range is 10.

The data is skewed.

A box plot is used to study the distribution and level of a set of scores

The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile. The interquartile range is the difference between the first and third quartile.

Interquartile range = 9 - (-1) = 10

A box plot is negative skewed because the median is not at the center of the box.

An outlier would be within: (Q1 - 1.5 * IQR or Q3 + 1.5 * IQR).

- 1 - (1.5 x 10 ) = -16

9 + (1.5 x 10) = 24

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Answer:

44 yards

Step-by-step explanation:

Formula :

divide the length value by 3

The probability that the card that you draw is a black 7 or a black 8 is 1/13

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

So, the probability that the card that you draw is a black 7 = 4/52

So, the probability that the card that you draw is a black 8 =  2/26

Therefore,

the probability that the card that you draw is a black 7 or a black 8 =  4/52 - 2/26 = 1/13

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

area of base is 9pi

circumference of base is 6pi

lateral surface 24

surface area is 42

Step-by-step explanation:

Answer:

10,440

Step-by-step explanation:

12/100=x/87,000

you are trying to solve for x because you want to know what is 12% of 87,000 so you need to cross multiply to get

12 times 87,000 = 100x

1,044,000=100x

then divide by 100 to get

=10,440

Answer:

It's the last choice.

Step-by-step explanation:

It has a V shape because of the absolute value lines |    |

But it is  an inverted V because of the leading negative.

The vertex is at y = 1 because of the + 1.

The + 4 moves the whole graph 4 units to the left of the origin.

So the vertex is at (-4, 1)

Answer:

The correct option is graph D. because the equation has all negative x values, meaning this graph will be to the left.

Why is the graph not facing upwards?

This is because some of the y values are equal to 1 or negative 1, causing the graph to face downwards.

Answer:

Step-by-step explanation:

5h + 3h + 4h = R288

12h = R288

h = R24

Josh, 5 hours at R24/hour = R120

Katleho, 3 hours at R24/hour = R72

Pevashnee, 4 hours at R24/hour = R96

Check your work: 120 + 72 + 96 = 288

Answer: yeah

Step-by-step explanation: So what you do is ask a question and then add a picture so people know what the fawk you talkin bout lol.

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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Answer:

10. a. (0,5) (1,3) (2,1)

     b. See attached image

     c. For every x change of 1, y changes by -2.

Step-by-step explanation:

First, let's make the equation easier to understand.

\(2x + y = 5\)

subtract 2x from both sides

\(y = -2x + 5\)

Now you can use this to draw your line, and answer number 10.

Start your plotting with the "+5", that's your y-intercept at (0,5). To continue the graph, go down two, and right one, given from the \(\frac{-2x}{1}\) in \(y = -2x + 5\).

To answer part C, this is just the slope. Every time the line goes towards the right once, it goes down twice.  

\(12b^2\sqrt[3]{2a}\)

In word form, this is 12 b squared (RootIndex 3 StartRoot 2 a EndRoot

Or you could say 12b^2 times the cube root of 2a

========================================================

Work Shown:

\(3b^2\sqrt[3]{54a}+3\sqrt[3]{2ab^6}\\\\3b^2\sqrt[3]{27*2a}+3\sqrt[3]{b^6*2a}\\\\3b^2\sqrt[3]{(3)^3*2a}+3\sqrt[3]{(b^2)^3*2a}\\\\3b^2\sqrt[3]{(3)^3}*\sqrt[3]{2a}+3\sqrt[3]{(b^2)^3}*\sqrt[3]{2a}\\\\3b^2*3*\sqrt[3]{2a}+3*b^2*\sqrt[3]{2a}\\\\9b^2\sqrt[3]{2a}+3b^2\sqrt[3]{2a}\\\\(9b^2+3b^2)\sqrt[3]{2a}\\\\\boldsymbol{12b^2\sqrt[3]{2a}}\\\\\)

The idea here is that we break the cube roots into smaller pieces, so we pull out perfect cubes when factoring.

The sum of the expression is 12 b squared (Root Index 6 Start Root 2 a End Root) or 12b²∛(2a).

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have the expression,

3 b squared (Root Index 3 Start Root 54 a End Root) + 3 (Root Index 3 Start Root 2 a b Superscript 6 Baseline End Root).

In numerical form,

3b²∛(54a) + 3∛(2ab⁶)

To find the sum of the above expression:

we simplify the expression,

3b²∛(54a) + 3∛(2ab⁶)

= 3b²∛3³(2a) + 3∛(2a)(b²)³

= 9b²∛(2a) + 3b²∛(2a)

= 12b²∛(2a)

Therefore, the sum is 12b²∛(2a).

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Answer:

4 and one-fourth less-than or equal-to 2k

Step-by-step explanation:

4 and one-fourth is no more than 2k

i.e,4 and one-fourth can be equal or less than 2k

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To calculate the time the person must leave the money in the bank, we use the formula below.

Formula:

The time that the person will leave the money in the bank until it reaches 12100 dollars is 7.9 years.

Given Data

First, convert R as a percent to r as a decimal

r = R/100

r = 4.25/100

r = 0.0425 per year.

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(12100/8,500) / ( 2 × [ln(1 + 0.045/2)] )

t = ln(12100/8,500) / ( 2 × [ln(1 + 0.0225)] )

t = In1.4235 / ( 2 × [ln1.0225]

t = 0.35311 / {2 × 0.02225}

t = 7.9 years

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Answer:

(-2, -2)

Step-by-step explanation: