Please answer question below (80)

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

The triangles are similar by SSS congruence of triangles.

What is SSS congruence of triangles?

The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.

We are given two triangle ABC and PQR.

In order to see whether these are similar or not, we will use the SSS congruence of triangles.

The ratio of sides are:

⇒AB : PQ = 8 : 6

⇒AB : PQ = 4 : 3

Similarly,

⇒BC : QR = 12 : 9

⇒BC : QR = 4 : 3

Similarly,

⇒AC : PR = 12 : 9

⇒AC : PR = 4 : 3

Since, the ratio of all the sides is same so, the triangles are similar.

Hence, the triangles are similar by SSS congruence of triangles.

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Since, there are multiple questions so, the question answered above is attached below

Answer:

57°

Step-by-step explanation:

Given line is straight line

then whole angle is 180°

then 180 - 123 = a = 57

Answer:

Step-by-step explanation:

What we know is:

We don't know:

So, we add both angles up to 180°:

Lets solve 180 - 123:

Given:

Binomial: A mathematical expression consisting of two terms connected by a plus sign or minus sign.

(2)

The degree of function is 2.

leading cofficient =-4

Using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem.

In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

A second-order equation of the form ax² + bx + c = 0 denotes a quadratic equation, where a, b, and c are real number coefficients and a 0.

So, we have the equation:

x²-3x+ 5 = 0

Now, solve it using the quadratic formula as follows:

x²-3x+ 5 = 0

a = 1

b = -3

c = 5

x = -(-3)±√(-3)² -4*1*5/2

Solve this further:

x = 3±√11/2

Therefore, using the quadratic formula to solve the equation x²-3x+ 5 = 0, the resultant answer is (D) 3+√11/2 and 3-√11/2.

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Correct question:

Solve x²-3x+ 5 = 0.

A.3+√-29 +VE/2 and 3- 2-29

B. 3+√29 and 3-√29

C. 3+√-11 and 3-√-11/2

D. 3+√11/2 and 3-√11/2

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).

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

A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.

From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?

----

Ans: -226 ; 50,000-226 = 49774

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

If a 50-year-old female purchases the policy, what is her expected value?

WORK TRIED:

In the event she lives, the value is -$226. In the event she dies, the value is $49,774.

----

E(x) = 0.9968*(-226) + 0.0032(49774) = -$66

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

Cheers,

ROR

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer:

Slope of line g = \(1\frac{1}{3}\)

Step-by-step explanation:

* Mathematics rule: If two lines are perpendicular to each other, then the product of their slopes is equal to -1 .

∴ \(-\frac{3}{4}\) × slope of line g = -1

Slope of line g = -1 ÷ \(-\frac{3}{4}\) = 4/3 = \(1\frac{1}{3}\)

135 as a product of its prime factors is written as  3 × 3 x 3 x 5

The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.

In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.

From the information given, we have the value as;

135

The prime factors are  3 × 3 x 3 x 5

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Answer:

The probability that one marble drawn at random is not blue is 70%

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

Step-by-step explanation:

1) with the angle 120degrees, we know that external angles on a pair of parallel lines are the same. we can give this as an equation  

120 = x + 130

re arrange to make x the subject

so subtract 130 on both sides

120-130=x

-10=x

x=-10

2) Corresponding angles in between parallel lines are the same. we can write this as

15x = 75

rearrange to make x the subject

x = 75 ÷ 15

x = 5

3)Internal angles inbetween parallel lines add to 180, so we can turn this into an equation

14x - 3 = 85

14x = 88

x = 88 ÷ 14

x = 6.285714 or just 6.29

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

Work Shown:

A = pi*r^2

A = 3.14*13^2

A = 3.14*169

A = 530.66 square millimeters

We can abbreviate "square millimeters" into "square mm" or into "mm^2".

This value is approximate because pi = 3.14 is approximate.

Answer:

Pen:paper

Step-by-step explanation:

Answer:

pen and paper

Step-by-step explanation:

sorry if it is worng I am not good at this things

Answer:

Y can be anything

Step-by-step explanation:

Answer:

Step-by-step explanation:

-8

Answer:

its 144in

Step-by-step explanation:

8 times 9 times 2 is 144in

Answer: LCM: 72

Step-by-step explanation:

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

9: 9, 18, 27, 36, 45, 54, 63, 72

Answer:

the anser is 8 and 9 is 72 so 72

Answer:

yes b is a right answer hope it will help you and please make me brainlist

A. The distributions of the periods is that using the five number summary is that

B. The box and whisker plot of the periods is attached

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

3rd Period

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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The subsets of {10, 19, 5, 0} are

{ } - the empty set, or 1 subset of size 0

{10}, {19}, {5}, {0} - 4 subsets of size 1

{10, 19}, {10, 5}, {10, 0}, {19, 5}, {19, 0}, {5, 0} - 6 subsets of size 2

{10, 19, 5}, {10, 19, 0}, {10, 5, 0}, {19, 5, 0} - 4 subsets of size 3

{10, 19, 5, 0} - 1 subset of size 4

A proper subset of a set is any subset of that set that is not equal to that set. The only subset that is not a proper subset is {10, 19, 5, 0}, since that's the set itself. So there are 15 proper subsets.

In general, a set of size n has a total of 2ⁿ subsets, and 2ⁿ - 1 proper subsets.

Answer:

make dot in the 2,2 8,2 and 5,7 and join the dots

The bag of apples weighs 1.89 pounds on Mars.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Malinda took a bag of apples on her trip to Mars.

The apples weighed 5 pounds on earth.

The formula is Weight on Mars,

= (Weight on Earth/9.81 m/s²) x 3.711 m/s²

= (5 / 9.81) x 3.711

= 1.89 pounds.

Therefore, the apple weighs 1.89 pounds on Mars.

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Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

First group: Sample of 163, 13% has a second episode.

This means that:

\(p_1 = 0.13, s_1 = \sqrt{\frac{0.13*0.87}{163}} = 0.026\)

Second group: Sample of 160, 14% has a second episode

This means that:

\(p_2 = 0.14, s_2 = \sqrt{\frac{0.14*0.86}{160}} = 0.027\)

Distribution of the difference:

\(p = p_1 - p_2 = 0.13 - 0.14 = -0.01\)

\(s = \sqrt{s_1^2+s_2^2} = \sqrt{0.026^2+0.027^2} = 0.0375\)

Confidence interval:

The confidence interval is:

\(p \pm zs\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

Lower bound:

\(p - 1.645s = -0.01 - 1.645*0.0375 = -0.0717\)

Upper bound:

\(p + 1.645s = -0.01 + 1.645*0.0375 = 0.0517\)

90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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