in a study, of adults questioned reported that their health was excellent. a researcher wishes to study the health of people living close to a nuclear power plant. among adults randomly selected from this area, only reported that their health was excellent. find the probability that when adults are randomly selected, or fewer are in excellent health.

Answers

Answer 1

The probability of randomly selecting or fewer adults having excellent health is:P(X≤) = P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)= (nC0) p0(1−p) n−0+ (nC1) p1(1−p) n−1+ (nC2) p2(1−p) n−2+ …+ (nC) p(1−p) n−= ∑ P(X≤) , where x=≤nCalculate the value of P(X≤)

The given data says that of adults questioned reported that their health was excellent and a researcher wishes to study the health of people living close to a nuclear power plant. Among adults randomly selected from this area, only reported that their health was excellent.The total adults who participated in the study are not given, so we cannot calculate the probability of randomly selecting adults from the given area. But, we can find the probability of adults who have excellent health from this area that is less than or equal to .To find the probability, we can use binomial distribution theory.

A binomial distribution is a discrete probability distribution of the number of successes in a sequence of independent trials with a given probability of success in each trial.Mathematically, a binomial distribution is represented by:P(x) = (nCx) px(1−p) n−xHere, n is the number of trials, p is the probability of success, and x is the number of successes.Using the above formula, we can find the probability of randomly selecting x adults having excellent health from n adults who participated in the study.

The probability of randomly selecting or fewer adults having excellent health is given by the sum of probabilities of randomly selecting 0, 1, 2, … , , , adult(s) having excellent health.P(X≤x)= P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)Therefore, the probability of randomly selecting or fewer adults having excellent health is:P(X≤) = P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)= (nC0) p0(1−p) n−0+ (nC1) p1(1−p) n−1+ (nC2) p2(1−p) n−2+ …+ (nC) p(1−p) n−= ∑ P(X≤) , where x=≤nCalculate the value of P(X≤) using the given information.

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Related Questions

when using a graduated pipet, at which point do you measure the volume?

Answers

The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.

1. Place the graduated pipet on a flat surface and make sure it is level

2. Draw the liquid up until the meniscus is level with the etched line that corresponds to the desired volume

3. Make sure the liquid is not touching the etched line above it

4. Observe the bottom of the meniscus and take the reading at the point where the liquid level is between the two etched lines

The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.

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45,000 - (-800) = 45,800

Answers

Answer:

True

Step-by-step explanation:

I'm assuming this is a true or false question, and so the answer is true. Because two negatives (-) equal a positive. So, 45,000 - (-800) actually is 45,00 + 800 because there was as subtraction sign and a negative sign.

Answer:

Step-by-step explanation:

45,000-(-800)=45,800

45,000-(-800) does =45,800

R + 3 1/2 = -4 2/3
I’m reeeeeeally bad a fractions I would love it for someone to help me with this

Answers

Answer:

R = -8 1/6

Step-by-step explanation:

We'll solve the given equation for R.

Subtract 3 1/2 from both sides of the equation, to isolate R:

           R +  3 1/2  -  3 1/2 = -4 2/3  - 3 1/2, or

            R = -4 2/3 - 3 1/2

The LCD here is 6, which is the product of 3 and 2.  Converting the fractions to denominator 6, we get:

              R = -4 4/6 - 3 3/6, or

               R = -7 - 7/6, or R = -7 - 1 1/6, or -8 1/6

PLEASE PLEASE HELP ME PLEASE

PLEASE PLEASE HELP ME PLEASE

Answers

Answer:

you

because if your friend made a 3.3 then you  make a 7 then that means your more consistant

Step-by-step explanation:

hope this helped

HELP ME PLEASE ILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!

HELP ME PLEASE ILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!

Answers

Answer:

91.7 inches to 1 decimal place

Step-by-step explanation:

We will use Pythagoras's theorem to find the height of the pyramid.

The height of the Pyramid forms a right-angled triangle with half of the base and the slant height.

We can get half the length of the base by dividing the length of one side of the base = 20.4 by 2 = 10.2in

slant height = 92.3in

Therefore height = \(\sqrt{92.3^{2} -10.2^2} =91.73in\)

The height of the pyramid is 91.73inches to 1 decimal place

T/F: Nonsampling errors reduce the overall quality of data regardless of the data collection method.

Answers

True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.

Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.

Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.

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If ΣD = 24, n = 8, and s2D = 6, what is the obtained t value when H0: μD = 0 and H1: μD ≠ 0?
a. 1.5
b. 3.46
c. 1.73
d. cannot be calculated from the information given

Answers

The obtained t-value is approximately (b) 3.46.

How to find obtained t-value?

The obtained t-value can be calculated using the formula:

t = ΣD / (sD / √(n))

where ΣD is the sum of the differences between paired observations, sD is the standard deviation of the differences, and n is the sample size.

Given ΣD = 24, n = 8, and s₂D = 6, we can find sD by taking the square root of s₂D:

sD = √(s₂D) = √(6) ≈ 2.45

Substituting the given values, we get:

t = ΣD / (sD / √(n)) = 24 / (2.45 / √(8)) ≈ 3.46

Therefore, the obtained t-value is approximately (b) 3.46.

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help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!

help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!

Answers

The projectile will reach a vertical position of 213 feet at a time of approximately 1.431 seconds.

How to analyze a quadratic equation related to the motion of a projectile

In this problem we have the case of a projectile of being launched upward, whose vertical position (s), in feet, is described by a quadratic equation in terms of time (t), in seconds. Herein we must determine the time when the vertical position of the projectile is equal to 213 feet:

- 16 · t² + 126 · t = 213

16 · t² - 126 · t - 213 = 0

Then, by the quadratic formula:

t = - (- 126) / (2 · 16) ± [1 / (2 · 16)] · √[(- 126)² - 4 · (16) · (- 213)]

t = - 63 / 16 ± (1 / 32) · √29508

t = - 63 / 16 ± (1 / 32) · 2√7377

t = - 63 / 16 ± √7377 / 16

t = (- 63 ± √7377) / 16

The only valid solution for the quadratic formula is (- 63 + √7377) / 16 seconds (approx. 1.431 seconds).

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40000$ consumer loan will be paid in monthly equal installment over
2years monthly payments , if the interest rate is 15.8% what will
be the amount?
Explain the answer in details

Answers

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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If x > 0, what values of c and d make the equations true?

If x > 0, what values of c and d make the equations true?

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Equation A

\(\sqrt[]{448x^c}=8x^3\sqrt[]{7x}\)

Equation B

\(\sqrt[3]{576x^d}\text{ = 4x}\sqrt[3]{9x^2}\)

Please help!!!! I’ll mark you as brainliest!!!

Please help!!!! Ill mark you as brainliest!!!

Answers

Answer:

22.50%

Step-by-step explanation:

Rate of return = ( Return on stocks / price at which it is bought) x 100

Return on stocks = (price at which it is sold - price at which it is bought )

Price at which 20 stocks are bought = 20 x 20 = $400

Return = $490 - $400 = $90

($90 / $400) x 100 = 22.50%

A helium tank shaped like a cylinder has 1,296π in3 of space inside the tank. If the diameter of the helium tank is 12 inches, what is its height?

6 inches
9 inches
24 inches
36 inches

Answers

The height of the helium tank is; Option D: 36 inches

How to find the volume of a cylinder?

The formula for the volume of a cylinder is;

V = πr²h

Where;

V is volume

r is radius

h is height

We are given;

Radius(r) = diameter/2 = 12/2

r = 6 inches

Volume; V = 1296π in³

1296π = π * 6² * h

h = 1296/36

h = 36 inches

We conclude that is the height if the helium tank

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Answer:

its height is 36 inches

Step-by-step explanation:

A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.

Brand Y costs $6.00 for 8 fluid ounces. How much less per fluid ounce does

Brand X cost than Brand Y? Show your work.

Answers

Answer:

\(\frac{3,25}{5}=0,65 \\\) for brand x for 1 fluid ounces

\(\frac{6}{8}=0,75\) for brand y

0,75-0,65=0,1

Brand x costs $0,1 less

Step-by-step explanation:

Answer:

0.10 less

Step-by-step explanation:

First you need to find how much for one fluid ounce, so for Brand X you would divide 3.25 by 5 to get 0.65 and for Brand Y 6.00 divided by 8 to get 0.75. Now you know how much for 1 ounce of each brand so next you just have to subtract 0.65 (Brand X) from 0.75 (Brand Y) to get that Brand X costs $0.10 less than brand Y.

Hope this helps :)

the u.s. census bureau needs to estimate the median income of males in the u.s., they collect incomes from 2500 males. state the individual, variable, population, sample, parameter, and statistic.

Answers

Individual : a male in the United States

Variable : income

Population : All males in the United States

Sample : 2500 males of which the information is collected

Parameter : Median income of males in the U.S

Statistic : Median income of the 2500 males sampled

Any satisfactory, quantity, or number that can be gauged or tallied qualifies as a variable. A records object is some other name for a variable.A sample is a subset of units selected to symbolize all the people in a population. due to the fact only a portion of the populace become counted, it is only a partial enumeration. To estimate the traits of the total populace of hobby, facts from the sampled devices is used.A statistic is a numerical illustration of a sample, whereas a parameter is a numerical illustration of the complete populace. 

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Which graph shows a system of equations with the solution (5, -3)?

Answers

Right-hand bottom graph shows a system of equations with the solution (5, -3).

What is Graph?

A diagram that depicts the connection between two values, measures, or other objects as a line or curve.

According to the inquiry,

Due to the fact that the two lines meet at the position where they do, the graph on the bottom right depicts a system of equations with the answers (5, -3) (5, -3).

Therefore, the proper answers to the problem are represented by the bottom right.

Right-hand bottom graph has the proper equations and their answers (5,-3).

Right-hand bottom graph shows a system of equations with the solution (5, -3).

The complete question is

Which graph shows a system of equations with the solution (5, -3)?

graph shows in this link: https://brainly.com/question/16805315

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When figuring out the total amount of debt you are responsible for, you should include: a) Car loans and home loans b) Car loans, home loans, and school loans c) Car loans, home loans, school loans, and any credit card debt d) Any debt that must be repaid within 3 years

Answers

Answer:

Car loans,home loans,school loans,and any credit card debt

Answer:

C)

Step-by-step explanation:

Area of the right triangle 15 12 10

Answers

Answer: Can you give me a schema of the triangle please ?

To calculate the area of a triangle you need to calculate:

(Base X Height ) ÷ 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

A right triangle would have side 15 12 and 9

and its area is 1/2 * 12 * 9

= 54 unit^2

Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.

Answers

The solution to the systems of equations graphically is (2, 4)

Solving the systems of equations graphically

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Graph the system of equations. y = 2x y = x + 6 Two lines on a coordinate plane that intersect at the

In one week, a mill worker worked 12,11,13,12,15,16, and 14 hours. Identify the median number of hours worked

Answers

Answer: 13

Step-by-step explanation:

First, we have to arrange the numbers in either ascending or descending order.

12,11,13,12,15,16, and 14 hours will then be: 11, 12, 12, 13, 14, 15 and 16.

The median will be gotten using the formula: = (n + 1) / 2

Since there are 7 numbers this will be:

= (n + 1) / 2

= (7 + 1) / 2

= 8/2

= 4th number

Since 13 is the 4th number, it's the median

What is the area of this triangle?



PLEASE SOMEONE GIVE ME THE ANSWER IM STUCK ON IT I WILL GIVE BRAINLIEST.

What is the area of this triangle?PLEASE SOMEONE GIVE ME THE ANSWER IM STUCK ON IT I WILL GIVE BRAINLIEST.

Answers

Answer:

Step-by-step explanation:

area of triangle is 1/2xbasexheight.

So the answer would be 18. GL!

_______

1/2bh

so 1/2 12x3

1/2x36.

and that equals 18! <3

Answer:18

Step-by-step explanation:

Remember- area of triangle = bh/2

So, 12 x 3

36

–––

2

So, 18 inch ^2

find the $1314^{\text{th}}$ digit past the decimal point in the decimal expansion of $\dfrac{5}{14}$.

Answers

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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2 x - 4/5 in simplest form

Answers

Answer:

2x-4/5

Step-by-step explanation:

there is no simpler form

a. For what value of c is the quantity Sum(x_1- c)^2 minimized? [Take the derivative with respect to c, set equal to 0, and solve.]
b.Using the result of part (a), which or the two quantities Sum(x, - x)^2 and Sum(x_i - mu)^2 will be smaller than the other (assuming that x yu,)?

Answers

Minimizing the Sum of Squared Deviations

In statistics, the objective of many analyses is to identify the values of parameters that minimize the sum of squared deviations between observed and expected values. A common example of this is finding the mean (average) of a set of values. In this context, the deviations are calculated as the difference between each observed value and the mean.

In the problem stated above, we have a sum of squared deviations given by the expression (x_1 - c)^2. The goal is to find the value of c that minimizes this expression. To do this, we will take the derivative of the expression with respect to c, set it equal to 0, and solve for c.

Taking the derivative with respect to c:

The derivative of (x_1 - c)^2 with respect to c is 2 * (x_1 - c) * (-1) = 2 * (c - x_1). Setting this equal to 0 and solving for c:

2 * (c - x_1) = 0

c = x_1

So, the value of c that minimizes the expression (x_1 - c)^2 is equal to x_1.

Comparing Sum(x_i - mu)^2 and Sum(x_i - x_1)^2:

Now, let's consider the two quantities Sum(x_i - mu)^2 and Sum(x_i - x_1)^2. Assuming that mu is the population mean and x_1 is a sample mean, we can say that Sum(x_i - mu)^2 will always be equal to or larger than Sum(x_i - x_1)^2. This is because the sample mean is an unbiased estimator of the population mean and has a smaller variance than the population mean. In other words, the sample mean will be closer to the observed values, on average, than the population mean, leading to smaller deviations and a smaller sum of squared deviations.

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A ) 90
B ) 165
C ) 270
D ) 75

A ) 90B ) 165C ) 270D ) 75

Answers

Answer:

165-90=75

item D

Answer:

Step-by-step explanation:

165-90=75

The water level in Ricky Lake changes at an average of -716 inch every 3 years. a. Based on the rate above, how much will the water level change after one year? Show your calculations and you can use the vertical number line to help you., using 0 as the original water level.

Answers

Answer:

The water level will change at a rate of - 2 7/18 inches per year

Step-by-step explanation:

From the question, we have a change of -7 1/6 inch every 3 years

We now want to calculate the value of the change every year

Mathematically, that will be;

- 7 1/6 divided by 3

= -43/6 divided by 3

= -43/18 = - 2 7/18 inch per year

Select the correct answer.
Which expression is equivalent to 5 log, 2 – log, 4,
OA log, )
O B. log, 28
OC. log, 8
OD. log, 6

Answers

Answer:

OC. log,8

Step-by-step explanation:

5 log,2 -log,4, = 0.903089987

log,8, = same as above

The expression  \(5log2-log4\) is equivalent to  \(log8\)  which is option c.

What is Log?

A logarithm answers the question "How many of this number do we multiply to get that number?" Example How many 2s must we multiply to get 8 that is 3.

Given,

\(5log2-log4\)

= \(log2^5-log4\)

= \(log32-log4\)

= \(log\frac{32}{4}\)

= \(log8\)

Hence, the expression  \(5log2-log4\) is equivalent to  \(log8\) .

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plz help need to finish by 12:00 am

Answers

30.

\(g(x)=2x^2+18x-14\\\\a)\\g(9)=2\cdot9^2+18\cdot9-14=162+162-14=310\\\\b)\\ g(3x)=2(3x)^2+18(3x)-14=18x^2+54x-14\\\\c)\\ g(1+5m)=2(1+5m)^2+18(1+5m)-14=\\\\=2(1+10m+25m^2)+18+90m-14=2+20m+50m^2+4+90m=\\\\=50m^2+110m+6\)

31.

\(h(y)=-3y^3-6y+9\\\\a)\\h(4)=-3(4)^3-6(4)+9=-3\cdot64-24+9=-192-15=-207\\\\ b)\\h(-2y)=-3(-2y)^3-6(-2y)+9=24y^3+12y+9\\\\c)\\h(5b+3)=-3(5b+3)^3-6(5b+3)+9=\\\\=-3[(5b)^3+3\cdot(5b)^2\cdot3+3\cdot5b\cdot3^2+3^3)-30b-18+9=\\\\=-375b^3-675b^2-405b-81-30b-9=-375b^3-675b^2-435b-90\)

32.

\(f(t)=\dfrac{4t+11}{3t^2+5t+1}\\\\a)\\f(-6)=\dfrac{4(-6)+11}{3(-6)^2+5(-6)+1}=\dfrac{-24+11}{3(36)-30+1}=\dfrac{-13}{108-29}=-\dfrac{13}{79}\\\\b)\\f(4t)=\dfrac{4(4t)+11}{3(4t)^2+5(4t)+1}=\dfrac{16t+11}{48t^2+20t+1}\\\\c)\\f(3-2a)=\dfrac{4(3-2a)+11}{3(3-2a)^2+5(3-2a)+1}=\dfrac{12-8a+11}{3(9-12a+4a^2)+15-10a+1}=\\\\=\dfrac{-8a+23}{27-36a+12a^2+16-10a}=\dfrac{-8a+23}{12a^2-46a+43}\)

33.

\(g(x)=\dfrac{3x^3}{x^2+x-4}\\\\a)\\g(-2)=\dfrac{3(-2)^3}{(-2)^2+(-2)-4}=\dfrac{3(-8)}{4-2-4}=\dfrac{-24}{-2}=12\\\\b)\\g(5x)=\dfrac{3(5x)^3}{(5x)^2+(5x)-4}=\dfrac{3(125x^3)}{25x^2+5x-4}=\dfrac{375x^3}{25x^2+5x-4}\\\\c)\\g(8-4b)=\dfrac{3(8-4b)^3}{(8-4b)^2+(8-4b)-4}=\dfrac{3[8^3-3\cdot8^2\cdot4b+3\cdot8\cdot(4b)^2-(4b)^3]}{64-64b+16b^2+8-4b-4}=\\\\=\dfrac{3(512-768b+384b^2-64b^3)}{16b^2-68b+68}=\dfrac{3\cdot4(128-192b+96b^2-16b^3)}{4(4b^2-17b+17)}=\\\\=\dfrac{384-576b+288b^2-48b^3}{4b^2-17b+17}\)

Make a story problem about conversion of measurements.​

Answers

CONVERSION

Make a story problem about conversion of measurements.

ANSWER

Cairo wants to join the basketball team, so he tried out and filled up a form. But he realized that the form wanted to get his height in "cm or centimeters", the problem is that he only knows his height in "feet" which is 6'5.

Since he didn't know how to convert centimeters to feet, he asked his friend Tyga and Tyga easily converted his height into cm. Cairo then filled up the form again and wrote "195.58 cm" in his official height--the equivalent of 6'5 in centimeter measurement.

Please help! Math Homework! Slope Intercept form

Please help! Math Homework! Slope Intercept form

Answers

Answer:

y=-2/6x-4

Step-by-step explanation:

Answer:

Y=-3x+4

Step-by-step explanation:

Solve for x in the diagram below

Solve for x in the diagram below

Answers

The value of the variable x in the given right angle expression is; x = 11

How to solve right angle problems?

We know that a right angle simply means an angle that is equal to 90 degrees.

Now, we see that the sum total of the angle in the diagram is 90 degrees and as such the sum of the two internal angles will be 90 degrees.

Thus;

5x + 35 = 90

Subtract 35 from both sides to get;

5x = 55

x = 55/5

x = 11

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