1 6+ 7 + 4x = x + 3x + 7 pls show work

Answers

Answer 1
Answer:

Answer: x=2                Please mark as brainliest

Step-by-step explanation: 16+7+4x=x+3x+7

combine like terms:            23+4x=4x+7

get x to one side:                  23=8x+7

subtract:                                   16=8x

divide:                                          x=2                                  


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Nevaeh took out a 20-year loan for $155,000 at 3.6% interest, compounded monthly. If her monthly payment on the loan is $906.93, how much of her first payment went toward note reduction?A. $441.93

B. $465.00

C. $906.93

D. $326.49

Answers

Answer:

A. $441.93

Step-by-step explanation:

Given that Nevaeh took out a 20-year loan for $155,000 at 3.6% interest, compounded monthly and  her monthly payment on the loan is $906.93

Let us calculate EMI schedule for 155000 for 20 years

Out of EMI 906.93, 441.93 will be for note reduction.

There are four options given as

A. $441.93

B. $465.00

C. $906.93

D. $326.49

Correct answer is option A) 441.93$

Forty percent of all Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway. Suppose a random sample of n=25 Americans who travel by car are asked how they determine where to stop for food and gas. Let x be the number in the sample who respond that they look for gas stations and food outlets that are close to or visible from the highway. a. What are the mean and variance of x?
b. Calculate the interval μ±2σμ±2σ. What values of the binomial random variable x fall into this interval?
c. Find P(6≤≤x$\leq$14). How does this compare with the fraction in the interval μ±2σμ±2σ for any distribution? For mound-shaped distributions?

Answers

Answer:

Explained below.

Step-by-step explanation:

Let the random variable X be defined as the number of Americans who travel by car look for gas stations and food outlets that are close to or visible from the highway.

The probability of the random variable X is: p = 0.40.

A random sample of n =25 Americans who travel by car are selected.

The events are independent of each other, since not everybody look for gas stations and food outlets that are close to or visible from the highway.

The random variable X follows a Binomial distribution with parameters n = 25 and p = 0.40.

(a)

The mean and variance of X are:

\mu=np=25* 0.40=10\n\n\sigma^(2)=np(1-p)-25*0.40*(1-0.40)=6

Thus, the mean and variance of X are 10 and 6 respectively.

(b)

Compute the values of the interval μ ± 2σ as follows:

\mu\pm 2\sigma=(\mu-2\sigma, \mu+ 2\sigma)

           =(10-2\cdot√(6),\ 10+2\cdot√(6))\n\n=(5.101, 14.899)\n\n\approx (5, 15)

Compute the probability of P (5 ≤ X ≤ 15) as follows:

P(5\leq X\leq 15)=\sum\limits^(15)_(x=5){{25\choose x}(0.40)^(x)(1-0.40)^(25-x)}

                        =0.0199+0.0442+0.0799+0.1199+0.1511+0.1612\n+0.1465+0.1140+0.0759+0.0434+0.0212\n\n=0.9772

Thus, 97.72% values of the binomial random variable x fall into this interval.

(c)

Compute the value of P (6 ≤ X ≤ 14) as follows:

P(6\leq X\leq 14)=\sum\limits^(14)_(x=6){{25\choose x}(0.40)^(x)(1-0.40)^(25-x)}

                        =0.0442+0.0799+0.1199+0.1511+0.1612\n+0.1465+0.1140+0.0759+0.0434\n\n=0.9361\n\n\approx P(5\leq X\leq 15)

The value of P (6 ≤ X ≤ 14) is 0.9361.

According to the Tchebysheff's theorem, for any distribution 75% of the data falls within μ ± 2σ values.

The proportion 0.9361 is very large compared to the other distributions.

Whereas for a mound-shaped distributions, 95% of the data falls within μ ± 2σ values. The proportion 0.9361 is slightly less when compared to the mound-shaped distribution.

Final answer:

The mean of x is 10 and the variance is 6. The interval μ ± 2σ is 10 ± 2√6. P(6 ≤ x ≤ 14) can be calculated using the binomial probability formula.

Explanation:

To find the mean of x, we multiply the sample size (n) by the probability of success (p), which is 40% or 0.4. So, the mean (μ) is 0.4 * 25 = 10. To find the variance of x, we multiply the sample size (n) by the probability of success (p) and the probability of failure (1-p), which is 0.6. So, the variance is 25 * 0.4 * 0.6 = 6.

To calculate the interval μ ± 2σ, we need to find the standard deviation (σ) first. The standard deviation is the square root of the variance, so σ = √6. Then, the interval is μ ± 2σ. Plugging in the values, the interval is 10 ± 2√6. To find the values of x that fall into this interval, we can subtract and add 2√6 from the mean, resulting in the range 10 - 2√6 to 10 + 2√6.

To find P(6 ≤ x ≤ 14), we need to find the probability of x being between 6 and 14. We can use the binomial probability formula to calculate this. P(6 ≤ x ≤ 14) = P(x = 6) + P(x = 7) + ... + P(x = 14). Using a binomial probability table or a calculator, we can find the probabilities of each x value and sum them up.

Learn more about Mean, Variance, Binomial Probability here:

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Through the points (1/2 , 3/4) and (-1/3 , 5/4).Question 2
Find, if possible, the slope of the line through the points (2 , 5) and (-4 , 5)

Answers

Answer:

0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-5)/(-4-2)

m=0/-6

m=0

What does perimeter mean

Answers

Perimeter is the sum of all sides of the polygons.

For a circle, it's called circumference

For Example

The triangle has three sides long 3 4 5 cm

perimeter = 3+4+5 =12 cm

The circle has a radius long 7 cm

circumference = 2πr = 14π cm

...........................

Answers

Answer: growth, rate is 95.8%
The base 1.958 is in the form 1+r where
1+r = 1.958
r = 1.958-1
r = 0.958
r = 95.8%
The value of r is positive indicating we have growth.
Contrast this to something like 1+r = 0.8 and that solves to r = -0.20 = -20% to indicate decay of 20%. In other words, if the base were some positive number less than 1, then you have decay. Otherwise, you have growth.
The initial value 880 does not affect the answer, so we completely ignore it.

What is the value of 8x + 2x when x = 6?

Answers

The value of 8x  + 2x when x = 6 is 60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A = 8x + 2x

The value of x = 6

Substituting the value of x in the equation , we get

A = 8x + 2x

A = 8 ( 6 ) + 2 ( 6 )

A = 48 + 12

A = 60

Therefore , the value of A = 60

Hence , the value of 8x  + 2x when x = 6 is 60

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8x + 2x

Plug the variable in.

8×6 + 2×6

48+12 = 60